TSTP Solution File: LCL142-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LCL142-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n188.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 13:12:49 EST 2019
% Result : Timeout 289.81s
% 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 : LCL142-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.24 % Computer : n188.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.5MB
% 0.03/0.24 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Thu Feb 21 14:57:55 CST 2019
% 0.03/0.25 % CPUTime :
% 1.16/1.39 Processing problem /tmp/CiME_53495_n188.star.cs.uiowa.edu
% 1.16/1.39 #verbose 1;
% 1.16/1.39 let F = signature " z,y,x,true,truth : constant; ordered : 2; big_hat : 2; big_V : 2; not : 1; implies : 2; ifeq : 4; ifeq2 : 4;";
% 1.16/1.39 let X = vars "A B C X Y Z";
% 1.16/1.39 let Axioms = equations F X "
% 1.16/1.39 ifeq2(A,A,B,C) = B;
% 1.16/1.39 ifeq(A,A,B,C) = B;
% 1.16/1.39 implies(truth,X) = X;
% 1.16/1.39 implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth;
% 1.16/1.39 implies(implies(X,Y),Y) = implies(implies(Y,X),X);
% 1.16/1.39 implies(implies(not(X),not(Y)),implies(Y,X)) = truth;
% 1.16/1.39 big_V(X,Y) = implies(implies(X,Y),Y);
% 1.16/1.39 big_hat(X,Y) = not(big_V(not(X),not(Y)));
% 1.16/1.39 ifeq(ordered(X,Y),true,implies(X,Y),truth) = truth;
% 1.16/1.39 ifeq2(implies(X,Y),truth,ordered(X,Y),true) = true;
% 1.16/1.39 ordered(x,y) = true;
% 1.16/1.39 ";
% 1.16/1.39
% 1.16/1.39 let s1 = status F "
% 1.16/1.39 z lr_lex;
% 1.16/1.39 y lr_lex;
% 1.16/1.39 x lr_lex;
% 1.16/1.39 true lr_lex;
% 1.16/1.39 ordered lr_lex;
% 1.16/1.39 big_hat lr_lex;
% 1.16/1.39 big_V lr_lex;
% 1.16/1.39 not lr_lex;
% 1.16/1.39 implies lr_lex;
% 1.16/1.39 truth lr_lex;
% 1.16/1.39 ifeq lr_lex;
% 1.16/1.39 ifeq2 lr_lex;
% 1.16/1.39 ";
% 1.16/1.39
% 1.16/1.39 let p1 = precedence F "
% 1.16/1.39 big_hat > ifeq2 > ifeq > implies > big_V > ordered > not > truth > true > x > y > z";
% 1.16/1.39
% 1.16/1.39 let s2 = status F "
% 1.16/1.39 z mul;
% 1.16/1.39 y mul;
% 1.16/1.39 x mul;
% 1.16/1.39 true mul;
% 1.16/1.39 ordered mul;
% 1.16/1.39 big_hat mul;
% 1.16/1.39 big_V mul;
% 1.16/1.39 not mul;
% 1.16/1.39 implies mul;
% 1.16/1.39 truth mul;
% 1.16/1.39 ifeq mul;
% 1.16/1.39 ifeq2 mul;
% 1.16/1.39 ";
% 1.16/1.39
% 1.16/1.39 let p2 = precedence F "
% 1.16/1.39 big_hat > ifeq2 > ifeq > implies > big_V > ordered > not > truth = true = x = y = z";
% 1.16/1.39
% 1.16/1.39 let o_auto = AUTO Axioms;
% 1.16/1.39
% 1.16/1.39 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.16/1.39
% 1.16/1.39 let Conjectures = equations F X " ordered(implies(x,z),implies(y,z)) = true;"
% 1.16/1.39 ;
% 1.16/1.39 (*
% 1.16/1.39 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.16/1.39
% 1.16/1.39 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.16/1.39 *)
% 1.16/1.39 #time on;
% 1.16/1.39
% 1.16/1.39 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.16/1.39
% 1.16/1.39 #time off;
% 1.16/1.39
% 1.16/1.39
% 1.16/1.39 let status = if res then "unsatisfiable" else "satisfiable";
% 1.16/1.39 #quit;
% 1.16/1.39 Verbose level is now 1
% 1.16/1.39
% 1.16/1.39 F : signature = <signature>
% 1.16/1.39 X : variable_set = <variable set>
% 1.16/1.39
% 1.16/1.39 Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.16/1.39 ifeq(A,A,B,C) = B,
% 1.16/1.39 implies(truth,X) = X,
% 1.16/1.39 implies(implies(X,Y),implies(implies(Y,Z),
% 1.16/1.39 implies(X,Z))) = truth,
% 1.16/1.39 implies(implies(X,Y),Y) =
% 1.16/1.39 implies(implies(Y,X),X),
% 1.16/1.39 implies(implies(not(X),not(Y)),implies(Y,X)) =
% 1.16/1.39 truth,
% 1.16/1.39 big_V(X,Y) = implies(implies(X,Y),Y),
% 1.16/1.39 big_hat(X,Y) = not(big_V(not(X),not(Y))),
% 1.16/1.39 ifeq(ordered(X,Y),true,implies(X,Y),truth) =
% 1.16/1.39 truth,
% 1.16/1.39 ifeq2(implies(X,Y),truth,ordered(X,Y),true) =
% 1.16/1.39 true,
% 1.16/1.39 ordered(x,y) = true } (11 equation(s))
% 1.16/1.39 s1 : F status = <status>
% 1.16/1.39 p1 : F precedence = <precedence>
% 1.16/1.39 s2 : F status = <status>
% 1.16/1.39 p2 : F precedence = <precedence>
% 1.16/1.39 o_auto : F term_ordering = <term ordering>
% 1.16/1.39 o : F term_ordering = <term ordering>
% 1.16/1.39 Conjectures : (F,X) equations = { ordered(implies(x,z),implies(y,z)) = true }
% 1.16/1.39 (1 equation(s))
% 1.16/1.39 time is now on
% 1.16/1.39
% 1.16/1.39 Initializing completion ...
% 1.16/1.39 New rule produced : [1] ordered(x,y) -> true
% 1.16/1.39 Current number of equations to process: 0
% 1.16/1.39 Current number of ordered equations: 11
% 1.16/1.39 Current number of rules: 1
% 1.16/1.39 New rule produced : [2] implies(truth,X) -> X
% 1.16/1.39 Current number of equations to process: 0
% 1.16/1.39 Current number of ordered equations: 10
% 1.16/1.39 Current number of rules: 2
% 1.16/1.39 New rule produced : [3] ifeq(A,A,B,C) -> B
% 1.16/1.39 Current number of equations to process: 0
% 1.16/1.39 Current number of ordered equations: 9
% 1.16/1.39 Current number of rules: 3
% 1.16/1.39 New rule produced : [4] ifeq2(A,A,B,C) -> B
% 1.16/1.39 Current number of equations to process: 0
% 1.16/1.39 Current number of ordered equations: 8
% 1.16/1.39 Current number of rules: 4
% 1.16/1.39 New rule produced : [5] implies(implies(X,Y),Y) -> big_V(X,Y)
% 1.16/1.39 Current number of equations to process: 2
% 1.16/1.39 Current number of ordered equations: 5
% 1.16/1.39 Current number of rules: 5
% 1.16/1.39 New rule produced : [6] big_hat(X,Y) -> not(big_V(not(X),not(Y)))
% 1.16/1.39 Current number of equations to process: 0
% 1.16/1.39 Current number of ordered equations: 6
% 1.16/1.39 Current number of rules: 6
% 1.18/1.47 big_V(X,Y) = big_V(Y,X) (birth = 0, lhs_size = 5, rhs_size = 5,trace = in the starting set)
% 1.18/1.47 Initializing completion ...
% 1.18/1.47 New rule produced : [1] X <-> implies(truth,X)
% 1.18/1.47 Current number of equations to process: 6
% 1.18/1.47 Current number of ordered equations: 19
% 1.18/1.47 Current number of rules: 1
% 1.18/1.47 New rule produced : [2] true <-> ordered(x,y)
% 1.18/1.47 Current number of equations to process: 6
% 1.18/1.47 Current number of ordered equations: 18
% 1.18/1.47 Current number of rules: 2
% 1.18/1.47 New rule produced : [3] ordered(x,y) <-> true
% 1.18/1.47 Current number of equations to process: 6
% 1.18/1.47 Current number of ordered equations: 17
% 1.18/1.47 Current number of rules: 3
% 1.18/1.47 New rule produced : [4] implies(truth,X) <-> X
% 1.18/1.47 Current number of equations to process: 6
% 1.18/1.47 Current number of ordered equations: 16
% 1.18/1.47 Current number of rules: 4
% 1.18/1.47 New rule produced : [5] B <-> ifeq(A,A,B,C)
% 1.18/1.47 Current number of equations to process: 10
% 1.18/1.47 Current number of ordered equations: 19
% 1.18/1.47 Current number of rules: 5
% 1.18/1.47 New rule produced : [6] B <-> ifeq2(A,A,B,C)
% 1.18/1.47 Current number of equations to process: 10
% 1.18/1.47 Current number of ordered equations: 18
% 1.18/1.47 Current number of rules: 6
% 1.18/1.47 New rule produced : [7] ifeq(A,A,B,C) <-> B
% 1.18/1.47 Current number of equations to process: 10
% 1.18/1.47 Current number of ordered equations: 17
% 1.18/1.47 Current number of rules: 7
% 1.18/1.47 New rule produced : [8] ifeq2(A,A,B,C) <-> B
% 1.18/1.47 Current number of equations to process: 10
% 1.18/1.47 Current number of ordered equations: 16
% 1.18/1.47 Current number of rules: 8
% 1.18/1.47 New rule produced : [9] X big_V Y <-> implies(implies(X,Y),Y)
% 1.18/1.47 Current number of equations to process: 28
% 1.18/1.47 Current number of ordered equations: 25
% 1.18/1.47 Current number of rules: 9
% 1.18/1.47 New rule produced : [10] implies(implies(X,Y),Y) <-> X big_V Y
% 1.18/1.47 Current number of equations to process: 28
% 1.18/1.47 Current number of ordered equations: 24
% 1.18/1.47 Current number of rules: 10
% 1.18/1.47 New rule produced : [11] not(not(X) big_V not(Y)) <-> big_hat(X,Y)
% 1.18/1.47 Current number of equations to process: 35
% 1.18/1.47 Current number of ordered equations: 33
% 1.18/1.47 Current number of rules: 11
% 1.18/1.47 New rule produced : [12] big_hat(X,Y) <-> not(not(X) big_V not(Y))
% 1.18/1.47 Current number of equations to process: 35
% 1.18/1.47 Current number of ordered equations: 32
% 1.18/1.47 Current number of rules: 12
% 1.18/1.47 New rule produced : [13] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X)
% 1.18/1.47 Current number of equations to process: 35
% 1.18/1.47 Current number of ordered equations: 30
% 1.18/1.47 Current number of rules: 13
% 1.18/1.47 New rule produced : [14] true <-> ifeq2(implies(X,Y),truth,ordered(X,Y),true)
% 1.18/1.47 Current number of equations to process: 41
% 1.18/1.47 Current number of ordered equations: 77
% 1.18/1.47 Current number of rules: 14
% 1.18/1.47 New rule produced : [15] truth <-> ifeq(ordered(X,Y),true,implies(X,Y),truth)
% 1.18/1.47 Current number of equations to process: 41
% 1.18/1.47 Current number of ordered equations: 76
% 1.18/1.47 Current number of rules: 15
% 1.18/1.47 New rule produced : [16] ifeq(ordered(X,Y),true,implies(X,Y),truth) <-> truth
% 1.18/1.47 Current number of equations to process: 41
% 1.18/1.47 Current number of ordered equations: 75
% 1.18/1.47 Current number of rules: 16
% 1.18/1.47 New rule produced : [17] ifeq2(implies(X,Y),truth,ordered(X,Y),true) <-> true
% 1.18/1.47 Current number of equations to process: 41
% 1.18/1.47 Current number of ordered equations: 74
% 1.18/1.47 Current number of rules: 17
% 1.18/1.47 New rule produced :
% 1.18/1.47 [18] truth <-> implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 135
% 1.18/1.47 Current number of rules: 18
% 1.18/1.47 New rule produced :
% 1.18/1.47 [19] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) <-> truth
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 134
% 1.18/1.47 Current number of rules: 19
% 1.18/1.47 New rule produced : [20] truth big_V A <-> implies(A,A)
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 132
% 1.18/1.47 Current number of rules: 20
% 1.18/1.47 New rule produced : [21] implies(A,A) <-> truth big_V A
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 130
% 1.18/1.47 Current number of rules: 21
% 1.18/1.47 New rule produced : [22] ordered(x,y) <-> implies(truth,true)
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 129
% 1.18/1.47 Current number of rules: 22
% 1.18/1.47 New rule produced : [23] implies(truth,true) <-> ordered(x,y)
% 1.18/1.47 Current number of equations to process: 62
% 1.18/1.47 Current number of ordered equations: 128
% 1.18/1.47 Current number of rules: 23
% 1.18/1.57 big_hat(B,A) = big_hat(A,B) (birth = 90, lhs_size = 3, rhs_size = 3,trace = Self cp of 11)
% 1.18/1.57 Initializing completion ...
% 1.18/1.57 New rule produced : [1] X <-> implies(truth,X)
% 1.18/1.57 Current number of equations to process: 1
% 1.18/1.57 Current number of ordered equations: 27
% 1.18/1.57 Current number of rules: 1
% 1.18/1.57 New rule produced : [2] true <-> ordered(x,y)
% 1.18/1.57 Current number of equations to process: 1
% 1.18/1.57 Current number of ordered equations: 26
% 1.18/1.57 Current number of rules: 2
% 1.18/1.57 New rule produced : [3] ordered(x,y) <-> true
% 1.18/1.57 Current number of equations to process: 1
% 1.18/1.57 Current number of ordered equations: 25
% 1.18/1.57 Current number of rules: 3
% 1.18/1.57 New rule produced : [4] implies(truth,X) <-> X
% 1.18/1.57 Current number of equations to process: 1
% 1.18/1.57 Current number of ordered equations: 24
% 1.18/1.57 Current number of rules: 4
% 1.18/1.57 New rule produced : [5] ordered(x,y) <-> implies(truth,true)
% 1.18/1.57 Current number of equations to process: 7
% 1.18/1.57 Current number of ordered equations: 23
% 1.18/1.57 Current number of rules: 5
% 1.18/1.57 New rule produced : [6] truth big_V A <-> implies(A,A)
% 1.18/1.57 Current number of equations to process: 7
% 1.18/1.57 Current number of ordered equations: 22
% 1.18/1.57 Current number of rules: 6
% 1.18/1.57 New rule produced : [7] implies(A,A) <-> truth big_V A
% 1.18/1.57 Current number of equations to process: 7
% 1.18/1.57 Current number of ordered equations: 21
% 1.18/1.57 Current number of rules: 7
% 1.18/1.57 New rule produced : [8] implies(truth,true) <-> ordered(x,y)
% 1.18/1.57 Current number of equations to process: 7
% 1.18/1.57 Current number of ordered equations: 20
% 1.18/1.57 Current number of rules: 8
% 1.18/1.57 New rule produced : [9] B <-> ifeq(A,A,B,C)
% 1.18/1.57 Current number of equations to process: 13
% 1.18/1.57 Current number of ordered equations: 21
% 1.18/1.57 Current number of rules: 9
% 1.18/1.57 New rule produced : [10] B <-> ifeq2(A,A,B,C)
% 1.18/1.57 Current number of equations to process: 13
% 1.18/1.57 Current number of ordered equations: 20
% 1.18/1.57 Current number of rules: 10
% 1.18/1.57 New rule produced : [11] ifeq(A,A,B,C) <-> B
% 1.18/1.57 Current number of equations to process: 13
% 1.18/1.57 Current number of ordered equations: 19
% 1.18/1.57 Current number of rules: 11
% 1.18/1.57 New rule produced : [12] ifeq2(A,A,B,C) <-> B
% 1.18/1.57 Current number of equations to process: 13
% 1.18/1.57 Current number of ordered equations: 18
% 1.18/1.57 Current number of rules: 12
% 1.18/1.57 New rule produced : [13] X big_V Y <-> implies(implies(X,Y),Y)
% 1.18/1.57 Current number of equations to process: 49
% 1.18/1.57 Current number of ordered equations: 27
% 1.18/1.57 Current number of rules: 13
% 1.18/1.57 New rule produced : [14] implies(implies(X,Y),Y) <-> X big_V Y
% 1.18/1.57 Current number of equations to process: 49
% 1.18/1.57 Current number of ordered equations: 26
% 1.18/1.57 Current number of rules: 14
% 1.18/1.57 New rule produced : [15] not(not(X) big_V not(Y)) <-> X big_hat Y
% 1.18/1.57 Current number of equations to process: 49
% 1.18/1.57 Current number of ordered equations: 53
% 1.18/1.57 Current number of rules: 15
% 1.18/1.57 New rule produced : [16] X big_hat Y <-> not(not(X) big_V not(Y))
% 1.18/1.57 Current number of equations to process: 49
% 1.18/1.57 Current number of ordered equations: 52
% 1.18/1.57 Current number of rules: 16
% 1.18/1.57 New rule produced : [17] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X)
% 1.18/1.57 Current number of equations to process: 49
% 1.18/1.57 Current number of ordered equations: 50
% 1.18/1.57 Current number of rules: 17
% 1.18/1.57 New rule produced : [18] true <-> ifeq2(implies(X,Y),truth,ordered(X,Y),true)
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 132
% 1.18/1.57 Current number of rules: 18
% 1.18/1.57 New rule produced : [19] truth <-> ifeq(ordered(X,Y),true,implies(X,Y),truth)
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 131
% 1.18/1.57 Current number of rules: 19
% 1.18/1.57 New rule produced :
% 1.18/1.57 [20] truth <-> implies(implies(not(X),not(Y)),implies(Y,X))
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 130
% 1.18/1.57 Current number of rules: 20
% 1.18/1.57 New rule produced : [21] ifeq(ordered(X,Y),true,implies(X,Y),truth) <-> truth
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 129
% 1.18/1.57 Current number of rules: 21
% 1.18/1.57 New rule produced :
% 1.18/1.57 [22] implies(implies(not(X),not(Y)),implies(Y,X)) <-> truth
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 128
% 1.18/1.57 Current number of rules: 22
% 1.18/1.57 New rule produced : [23] ifeq2(implies(X,Y),truth,ordered(X,Y),true) <-> true
% 1.18/1.57 Current number of equations to process: 32
% 1.18/1.57 Current number of ordered equations: 126
% 1.18/1.57 Current number of rules: 23
% 1.18/1.57 New rule produced :
% 1.48/1.70 [24] truth <-> implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 201
% 1.48/1.70 Current number of rules: 24
% 1.48/1.70 New rule produced :
% 1.48/1.70 [25] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) <-> truth
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 200
% 1.48/1.70 Current number of rules: 25
% 1.48/1.70 New rule produced : [26] truth <-> truth big_V truth
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 199
% 1.48/1.70 Current number of rules: 26
% 1.48/1.70 New rule produced : [27] truth big_V truth <-> truth
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 198
% 1.48/1.70 Current number of rules: 27
% 1.48/1.70 New rule produced : [28] true <-> ordered(x,implies(truth,y))
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 197
% 1.48/1.70 Current number of rules: 28
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [28] true <-> ordered(x,implies(truth,y)); trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [29] true <-> ordered(implies(truth,x),y)
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 196
% 1.48/1.70 Current number of rules: 29
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [29] true <-> ordered(implies(truth,x),y); trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [30] true <-> implies(truth,ordered(x,y))
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 195
% 1.48/1.70 Current number of rules: 30
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [30] true <-> implies(truth,ordered(x,y)); trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [31] ordered(x,implies(truth,y)) <-> true
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 194
% 1.48/1.70 Current number of rules: 31
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [31] ordered(x,implies(truth,y)) <-> true; trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [32] ordered(implies(truth,x),y) <-> true
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 193
% 1.48/1.70 Current number of rules: 32
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [32] ordered(implies(truth,x),y) <-> true; trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [33] implies(truth,ordered(x,y)) <-> true
% 1.48/1.70 The conjecture has been reduced.
% 1.48/1.70 Conjecture is now:
% 1.48/1.70 Trivial
% 1.48/1.70
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 192
% 1.48/1.70 Current number of rules: 33
% 1.48/1.70 The current conjecture is true and the solution is the identity
% 1.48/1.70 % SZS output start Refutation
% 1.48/1.70
% 1.48/1.70 The following 3 rules have been used:
% 1.48/1.70 [1]
% 1.48/1.70 X <-> implies(truth,X); trace = in the starting set
% 1.48/1.70 [3] ordered(x,y) <-> true; trace = in the starting set
% 1.48/1.70 [33] implies(truth,ordered(x,y)) <-> true; trace = Cp of 3 and 1
% 1.48/1.70 New rule produced : [34] (eq)(A,A) -> (true)
% 1.48/1.70 Current number of equations to process: 95
% 1.48/1.70 Current number of ordered equations: 193
% 1.85/2.07 Current number of rules: 34
% 1.85/2.07 New rule produced : [35] (eq)(A,implies(truth,implies(truth,A))) -> (false)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 192
% 1.85/2.07 Current number of rules: 35
% 1.85/2.07 New rule produced : [36] A <-> implies(truth,implies(truth,A))
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 191
% 1.85/2.07 Current number of rules: 36
% 1.85/2.07 New rule produced : [37] A <-> implies(implies(truth,truth),A)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 190
% 1.85/2.07 Current number of rules: 37
% 1.85/2.07 New rule produced : [38] implies(truth,implies(truth,A)) <-> A
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 189
% 1.85/2.07 Current number of rules: 38
% 1.85/2.07 New rule produced : [39] implies(implies(truth,truth),A) <-> A
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 188
% 1.85/2.07 Current number of rules: 39
% 1.85/2.07 New rule produced : [40] ordered(x,implies(truth,y)) <-> implies(truth,true)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 187
% 1.85/2.07 Current number of rules: 40
% 1.85/2.07 New rule produced : [41] ordered(implies(truth,x),y) <-> implies(truth,true)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 186
% 1.85/2.07 Current number of rules: 41
% 1.85/2.07 New rule produced : [42] implies(truth,true) <-> ordered(x,implies(truth,y))
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 185
% 1.85/2.07 Current number of rules: 42
% 1.85/2.07 New rule produced : [43] implies(truth,true) <-> ordered(implies(truth,x),y)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 184
% 1.85/2.07 Current number of rules: 43
% 1.85/2.07 New rule produced : [44] implies(truth,truth) big_V A <-> implies(A,A)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 183
% 1.85/2.07 Current number of rules: 44
% 1.85/2.07 New rule produced : [45] implies(A,A) <-> implies(truth,truth) big_V A
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 182
% 1.85/2.07 Current number of rules: 45
% 1.85/2.07 New rule produced : [46] implies(A,A) <-> implies(truth,truth big_V A)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 181
% 1.85/2.07 Current number of rules: 46
% 1.85/2.07 New rule produced : [47] implies(truth,truth big_V A) <-> implies(A,A)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 180
% 1.85/2.07 Current number of rules: 47
% 1.85/2.07 New rule produced : [48] truth big_V A <-> implies(truth,implies(A,A))
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 179
% 1.85/2.07 Current number of rules: 48
% 1.85/2.07 New rule produced : [49] implies(truth,implies(A,A)) <-> truth big_V A
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 178
% 1.85/2.07 Current number of rules: 49
% 1.85/2.07 New rule produced : [50] ordered(x,y) <-> implies(truth,implies(truth,true))
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 177
% 1.85/2.07 Current number of rules: 50
% 1.85/2.07 New rule produced : [51] ordered(x,y) <-> implies(implies(truth,truth),true)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 176
% 1.85/2.07 Current number of rules: 51
% 1.85/2.07 New rule produced : [52] implies(truth,implies(truth,true)) <-> ordered(x,y)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 175
% 1.85/2.07 Current number of rules: 52
% 1.85/2.07 New rule produced : [53] implies(implies(truth,truth),true) <-> ordered(x,y)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 174
% 1.85/2.07 Current number of rules: 53
% 1.85/2.07 New rule produced : [54] ifeq(B,B,A,C) <-> implies(truth,A)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 173
% 1.85/2.07 Current number of rules: 54
% 1.85/2.07 New rule produced : [55] implies(truth,A) <-> ifeq(B,B,A,C)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 172
% 1.85/2.07 Current number of rules: 55
% 1.85/2.07 New rule produced : [56] ordered(x,y) <-> ifeq(A,A,true,B)
% 1.85/2.07 Current number of equations to process: 95
% 1.85/2.07 Current number of ordered equations: 171
% 1.85/2.07 Current number of rules: 56
% 1.85/2.07 New rule produced : [57] ifeq(A,A,true,B) <-> ordered(x,y)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 170
% 2.33/2.59 Current number of rules: 57
% 2.33/2.59 New rule produced : [58] ifeq2(B,B,A,C) <-> implies(truth,A)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 169
% 2.33/2.59 Current number of rules: 58
% 2.33/2.59 New rule produced : [59] implies(truth,A) <-> ifeq2(B,B,A,C)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 168
% 2.33/2.59 Current number of rules: 59
% 2.33/2.59 New rule produced : [60] ordered(x,y) <-> ifeq2(A,A,true,B)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 167
% 2.33/2.59 Current number of rules: 60
% 2.33/2.59 New rule produced : [61] ifeq2(A,A,true,B) <-> ordered(x,y)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 166
% 2.33/2.59 Current number of rules: 61
% 2.33/2.59 New rule produced : [62] implies(A,A) <-> implies(implies(A,truth),truth)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 164
% 2.33/2.59 Current number of rules: 62
% 2.33/2.59 New rule produced : [63] implies(implies(A,truth),truth) <-> implies(A,A)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 162
% 2.33/2.59 Current number of rules: 63
% 2.33/2.59 New rule produced : [64] A big_V A <-> implies(truth big_V A,A)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 161
% 2.33/2.59 Current number of rules: 64
% 2.33/2.59 New rule produced : [65] implies(truth big_V A,A) <-> A big_V A
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 160
% 2.33/2.59 Current number of rules: 65
% 2.33/2.59 New rule produced : [66] true big_V truth <-> implies(ordered(x,y),true)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 159
% 2.33/2.59 Current number of rules: 66
% 2.33/2.59 New rule produced : [67] implies(ordered(x,y),true) <-> true big_V truth
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 158
% 2.33/2.59 Current number of rules: 67
% 2.33/2.59 New rule produced : [68] A big_V B <-> implies(implies(B,A),A)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 157
% 2.33/2.59 Current number of rules: 68
% 2.33/2.59 New rule produced : [69] implies(implies(B,A),A) <-> A big_V B
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 156
% 2.33/2.59 Current number of rules: 69
% 2.33/2.59 New rule produced : [70] true <-> ordered(implies(x,z),implies(y,z))
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 155
% 2.33/2.59 Current number of rules: 70
% 2.33/2.59 New rule produced : [71] ordered(implies(x,z),implies(y,z)) <-> true
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 154
% 2.33/2.59 Current number of rules: 71
% 2.33/2.59 New rule produced : [72] ifeq(X,X,B,Y) <-> ifeq(A,A,B,C)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 152
% 2.33/2.59 Current number of rules: 72
% 2.33/2.59 New rule produced : [73] true <-> ordered(x,ifeq(A,A,y,B))
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 151
% 2.33/2.59 Current number of rules: 73
% 2.33/2.59 New rule produced : [74] true <-> ordered(ifeq(A,A,x,B),y)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 150
% 2.33/2.59 Current number of rules: 74
% 2.33/2.59 New rule produced : [75] true <-> ifeq(A,A,ordered(x,y),B)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 149
% 2.33/2.59 Current number of rules: 75
% 2.33/2.59 New rule produced : [76] ordered(x,ifeq(A,A,y,B)) <-> true
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 148
% 2.33/2.59 Current number of rules: 76
% 2.33/2.59 New rule produced : [77] ordered(ifeq(A,A,x,B),y) <-> true
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 147
% 2.33/2.59 Current number of rules: 77
% 2.33/2.59 New rule produced : [78] ifeq(A,A,ordered(x,y),B) <-> true
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 146
% 2.33/2.59 Current number of rules: 78
% 2.33/2.59 New rule produced : [79] A <-> ifeq(B,B,implies(truth,A),C)
% 2.33/2.59 Current number of equations to process: 95
% 2.33/2.59 Current number of ordered equations: 145
% 2.33/2.59 Current number of rules: 79
% 2.33/2.59 New rule produced : [80] C <-> implies(ifeq(A,A,truth,B),C)
% 2.33/2.59 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 144
% 2.93/3.18 Current number of rules: 80
% 2.93/3.18 New rule produced : [81] ifeq(B,B,implies(truth,A),C) <-> A
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 143
% 2.93/3.18 Current number of rules: 81
% 2.93/3.18 New rule produced : [82] implies(ifeq(A,A,truth,B),C) <-> C
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 142
% 2.93/3.18 Current number of rules: 82
% 2.93/3.18 New rule produced : [83] ifeq2(X,X,B,Y) <-> ifeq2(A,A,B,C)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 140
% 2.93/3.18 Current number of rules: 83
% 2.93/3.18 New rule produced : [84] true <-> ordered(x,ifeq2(A,A,y,B))
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 139
% 2.93/3.18 Current number of rules: 84
% 2.93/3.18 New rule produced : [85] true <-> ordered(ifeq2(A,A,x,B),y)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 138
% 2.93/3.18 Current number of rules: 85
% 2.93/3.18 New rule produced : [86] true <-> ifeq2(A,A,ordered(x,y),B)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 137
% 2.93/3.18 Current number of rules: 86
% 2.93/3.18 New rule produced : [87] ordered(x,ifeq2(A,A,y,B)) <-> true
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 136
% 2.93/3.18 Current number of rules: 87
% 2.93/3.18 New rule produced : [88] ordered(ifeq2(A,A,x,B),y) <-> true
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 135
% 2.93/3.18 Current number of rules: 88
% 2.93/3.18 New rule produced : [89] ifeq2(A,A,ordered(x,y),B) <-> true
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 134
% 2.93/3.18 Current number of rules: 89
% 2.93/3.18 New rule produced : [90] A <-> ifeq2(B,B,implies(truth,A),C)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 133
% 2.93/3.18 Current number of rules: 90
% 2.93/3.18 New rule produced : [91] C <-> implies(ifeq2(A,A,truth,B),C)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 132
% 2.93/3.18 Current number of rules: 91
% 2.93/3.18 New rule produced : [92] ifeq2(B,B,implies(truth,A),C) <-> A
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 131
% 2.93/3.18 Current number of rules: 92
% 2.93/3.18 New rule produced : [93] implies(ifeq2(A,A,truth,B),C) <-> C
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 130
% 2.93/3.18 Current number of rules: 93
% 2.93/3.18 New rule produced : [94] ifeq2(X,X,B,Y) <-> ifeq(A,A,B,C)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 129
% 2.93/3.18 Current number of rules: 94
% 2.93/3.18 New rule produced : [95] ifeq(A,A,B,C) <-> ifeq2(X,X,B,Y)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 128
% 2.93/3.18 Current number of rules: 95
% 2.93/3.18 New rule produced : [96] B <-> implies(truth,ifeq(A,A,B,C))
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 127
% 2.93/3.18 Current number of rules: 96
% 2.93/3.18 New rule produced : [97] implies(truth,ifeq(A,A,B,C)) <-> B
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 126
% 2.93/3.18 Current number of rules: 97
% 2.93/3.18 New rule produced : [98] B <-> implies(truth,ifeq2(A,A,B,C))
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 125
% 2.93/3.18 Current number of rules: 98
% 2.93/3.18 New rule produced : [99] implies(truth,ifeq2(A,A,B,C)) <-> B
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 124
% 2.93/3.18 Current number of rules: 99
% 2.93/3.18 New rule produced :
% 2.93/3.18 [100] implies(truth,A big_V B) <-> implies(implies(A,B),B)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 123
% 2.93/3.18 Current number of rules: 100
% 2.93/3.18 New rule produced :
% 2.93/3.18 [101] implies(implies(A,B),B) <-> implies(truth,A big_V B)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 122
% 2.93/3.18 Current number of rules: 101
% 2.93/3.18 New rule produced : [102] implies(A,B) big_V B <-> implies(A big_V B,B)
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 121
% 2.93/3.18 Current number of rules: 102
% 2.93/3.18 New rule produced : [103] implies(A big_V B,B) <-> implies(A,B) big_V B
% 2.93/3.18 Current number of equations to process: 95
% 2.93/3.18 Current number of ordered equations: 120
% 2.93/3.18 Current number of rules: 103
% 3.54/3.76 New rule produced :
% 3.54/3.76 [104] implies(ordered(x,y),true) <-> implies(implies(true,truth),truth)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 119
% 3.54/3.76 Current number of rules: 104
% 3.54/3.76 New rule produced :
% 3.54/3.76 [105] implies(implies(true,truth),truth) <-> implies(ordered(x,y),true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 118
% 3.54/3.76 Current number of rules: 105
% 3.54/3.76 New rule produced : [106] truth <-> ifeq(true,true,implies(x,y),truth)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 117
% 3.54/3.76 Current number of rules: 106
% 3.54/3.76 New rule produced : [107] ifeq(true,true,implies(x,y),truth) <-> truth
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 116
% 3.54/3.76 Current number of rules: 107
% 3.54/3.76 New rule produced : [108] truth <-> ifeq(ordered(truth,A),true,A,truth)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 115
% 3.54/3.76 Current number of rules: 108
% 3.54/3.76 New rule produced : [109] ifeq(ordered(truth,A),true,A,truth) <-> truth
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 114
% 3.54/3.76 Current number of rules: 109
% 3.54/3.76 New rule produced : [110] truth <-> implies(implies(not(A),not(truth)),A)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 113
% 3.54/3.76 Current number of rules: 110
% 3.54/3.76 New rule produced : [111] implies(implies(not(A),not(truth)),A) <-> truth
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 112
% 3.54/3.76 Current number of rules: 111
% 3.54/3.76 New rule produced : [112] true <-> ifeq2(implies(x,y),truth,true,true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 111
% 3.54/3.76 Current number of rules: 112
% 3.54/3.76 New rule produced : [113] ifeq2(implies(x,y),truth,true,true) <-> true
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 110
% 3.54/3.76 Current number of rules: 113
% 3.54/3.76 New rule produced : [114] true <-> ifeq2(A,truth,ordered(truth,A),true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 109
% 3.54/3.76 Current number of rules: 114
% 3.54/3.76 New rule produced : [115] ifeq2(A,truth,ordered(truth,A),true) <-> true
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 108
% 3.54/3.76 Current number of rules: 115
% 3.54/3.76 New rule produced : [116] ordered(x,ifeq(A,A,y,B)) <-> implies(truth,true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 107
% 3.54/3.76 Current number of rules: 116
% 3.54/3.76 New rule produced : [117] ordered(ifeq(A,A,x,B),y) <-> implies(truth,true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 106
% 3.54/3.76 Current number of rules: 117
% 3.54/3.76 New rule produced : [118] implies(truth,true) <-> ordered(x,ifeq(A,A,y,B))
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 105
% 3.54/3.76 Current number of rules: 118
% 3.54/3.76 New rule produced : [119] implies(truth,true) <-> ordered(ifeq(A,A,x,B),y)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 104
% 3.54/3.76 Current number of rules: 119
% 3.54/3.76 New rule produced : [120] implies(truth,true) <-> ifeq(A,A,ordered(x,y),B)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 103
% 3.54/3.76 Current number of rules: 120
% 3.54/3.76 New rule produced : [121] ifeq(A,A,ordered(x,y),B) <-> implies(truth,true)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 102
% 3.54/3.76 Current number of rules: 121
% 3.54/3.76 New rule produced : [122] ifeq(B,B,truth big_V A,C) <-> implies(A,A)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 101
% 3.54/3.76 Current number of rules: 122
% 3.54/3.76 New rule produced : [123] implies(A,A) <-> ifeq(B,B,truth big_V A,C)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 100
% 3.54/3.76 Current number of rules: 123
% 3.54/3.76 New rule produced : [124] implies(C,C) <-> ifeq(A,A,truth,B) big_V C
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 99
% 3.54/3.76 Current number of rules: 124
% 3.54/3.76 New rule produced : [125] ifeq(A,A,truth,B) big_V C <-> implies(C,C)
% 3.54/3.76 Current number of equations to process: 95
% 3.54/3.76 Current number of ordered equations: 98
% 3.54/3.76 Current number of rules: 125
% 4.05/4.32 New rule produced : [126] ifeq(B,B,implies(A,A),C) <-> truth big_V A
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 97
% 4.05/4.32 Current number of rules: 126
% 4.05/4.32 New rule produced : [127] truth big_V A <-> ifeq(B,B,implies(A,A),C)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 96
% 4.05/4.32 Current number of rules: 127
% 4.05/4.32 New rule produced : [128] ordered(x,y) <-> implies(truth,ifeq(A,A,true,B))
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 95
% 4.05/4.32 Current number of rules: 128
% 4.05/4.32 New rule produced : [129] ordered(x,y) <-> implies(ifeq(A,A,truth,B),true)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 94
% 4.05/4.32 Current number of rules: 129
% 4.05/4.32 New rule produced : [130] ordered(x,y) <-> ifeq(A,A,implies(truth,true),B)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 93
% 4.05/4.32 Current number of rules: 130
% 4.05/4.32 New rule produced : [131] implies(truth,ifeq(A,A,true,B)) <-> ordered(x,y)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 92
% 4.05/4.32 Current number of rules: 131
% 4.05/4.32 New rule produced : [132] implies(ifeq(A,A,truth,B),true) <-> ordered(x,y)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 91
% 4.05/4.32 Current number of rules: 132
% 4.05/4.32 New rule produced : [133] ifeq(A,A,implies(truth,true),B) <-> ordered(x,y)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 90
% 4.05/4.32 Current number of rules: 133
% 4.05/4.32 New rule produced : [134] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,true)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 89
% 4.05/4.32 Current number of rules: 134
% 4.05/4.32 New rule produced : [135] ordered(ifeq2(A,A,x,B),y) <-> implies(truth,true)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 88
% 4.05/4.32 Current number of rules: 135
% 4.05/4.32 New rule produced : [136] implies(truth,true) <-> ordered(x,ifeq2(A,A,y,B))
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 87
% 4.05/4.32 Current number of rules: 136
% 4.05/4.32 New rule produced : [137] implies(truth,true) <-> ordered(ifeq2(A,A,x,B),y)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 86
% 4.05/4.32 Current number of rules: 137
% 4.05/4.32 New rule produced : [138] implies(truth,true) <-> ifeq2(A,A,ordered(x,y),B)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 85
% 4.05/4.32 Current number of rules: 138
% 4.05/4.32 New rule produced : [139] ifeq2(A,A,ordered(x,y),B) <-> implies(truth,true)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 84
% 4.05/4.32 Current number of rules: 139
% 4.05/4.32 New rule produced : [140] ifeq2(B,B,truth big_V A,C) <-> implies(A,A)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 83
% 4.05/4.32 Current number of rules: 140
% 4.05/4.32 New rule produced : [141] implies(A,A) <-> ifeq2(B,B,truth big_V A,C)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 82
% 4.05/4.32 Current number of rules: 141
% 4.05/4.32 New rule produced : [142] implies(C,C) <-> ifeq2(A,A,truth,B) big_V C
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 81
% 4.05/4.32 Current number of rules: 142
% 4.05/4.32 New rule produced : [143] ifeq2(A,A,truth,B) big_V C <-> implies(C,C)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 80
% 4.05/4.32 Current number of rules: 143
% 4.05/4.32 New rule produced : [144] ifeq2(B,B,implies(A,A),C) <-> truth big_V A
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 79
% 4.05/4.32 Current number of rules: 144
% 4.05/4.32 New rule produced : [145] truth big_V A <-> ifeq2(B,B,implies(A,A),C)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 78
% 4.05/4.32 Current number of rules: 145
% 4.05/4.32 New rule produced : [146] ordered(x,y) <-> implies(truth,ifeq2(A,A,true,B))
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 77
% 4.05/4.32 Current number of rules: 146
% 4.05/4.32 New rule produced : [147] ordered(x,y) <-> implies(ifeq2(A,A,truth,B),true)
% 4.05/4.32 Current number of equations to process: 95
% 4.05/4.32 Current number of ordered equations: 76
% 4.05/4.32 Current number of rules: 147
% 4.62/4.84 New rule produced : [148] ordered(x,y) <-> ifeq2(A,A,implies(truth,true),B)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 75
% 4.62/4.84 Current number of rules: 148
% 4.62/4.84 New rule produced : [149] implies(truth,ifeq2(A,A,true,B)) <-> ordered(x,y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 74
% 4.62/4.84 Current number of rules: 149
% 4.62/4.84 New rule produced : [150] implies(ifeq2(A,A,truth,B),true) <-> ordered(x,y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 73
% 4.62/4.84 Current number of rules: 150
% 4.62/4.84 New rule produced : [151] ifeq2(A,A,implies(truth,true),B) <-> ordered(x,y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 72
% 4.62/4.84 Current number of rules: 151
% 4.62/4.84 New rule produced :
% 4.62/4.84 [152] A big_V B <-> implies(truth,implies(implies(A,B),B))
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 71
% 4.62/4.84 Current number of rules: 152
% 4.62/4.84 New rule produced :
% 4.62/4.84 [153] A big_V B <-> implies(implies(truth,implies(A,B)),B)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 70
% 4.62/4.84 Current number of rules: 153
% 4.62/4.84 New rule produced :
% 4.62/4.84 [154] implies(truth,implies(implies(A,B),B)) <-> A big_V B
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 69
% 4.62/4.84 Current number of rules: 154
% 4.62/4.84 New rule produced :
% 4.62/4.84 [155] implies(implies(truth,implies(A,B)),B) <-> A big_V B
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 68
% 4.62/4.84 Current number of rules: 155
% 4.62/4.84 New rule produced :
% 4.62/4.84 [156] not(not(A) big_V not(B)) <-> implies(truth,A big_hat B)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 67
% 4.62/4.84 Current number of rules: 156
% 4.62/4.84 New rule produced :
% 4.62/4.84 [157] implies(truth,A big_hat B) <-> not(not(A) big_V not(B))
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 66
% 4.62/4.84 Current number of rules: 157
% 4.62/4.84 New rule produced : [158] truth <-> implies(truth big_V not(A),implies(A,A))
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 65
% 4.62/4.84 Current number of rules: 158
% 4.62/4.84 New rule produced : [159] implies(truth big_V not(A),implies(A,A)) <-> truth
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 64
% 4.62/4.84 Current number of rules: 159
% 4.62/4.84 New rule produced : [160] C <-> ifeq(A,A,ifeq(B,B,C,X),Y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 63
% 4.62/4.84 Current number of rules: 160
% 4.62/4.84 New rule produced : [161] ifeq(A,A,ifeq(B,B,C,X),Y) <-> C
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 62
% 4.62/4.84 Current number of rules: 161
% 4.62/4.84 New rule produced : [162] C <-> ifeq2(A,A,ifeq(B,B,C,X),Y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 61
% 4.62/4.84 Current number of rules: 162
% 4.62/4.84 New rule produced : [163] ifeq2(A,A,ifeq(B,B,C,X),Y) <-> C
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 60
% 4.62/4.84 Current number of rules: 163
% 4.62/4.84 New rule produced : [164] C <-> ifeq(A,A,ifeq2(B,B,C,X),Y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 59
% 4.62/4.84 Current number of rules: 164
% 4.62/4.84 New rule produced : [165] ifeq(A,A,ifeq2(B,B,C,X),Y) <-> C
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 58
% 4.62/4.84 Current number of rules: 165
% 4.62/4.84 New rule produced : [166] C <-> ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 57
% 4.62/4.84 Current number of rules: 166
% 4.62/4.84 New rule produced : [167] ifeq2(A,A,ifeq2(B,B,C,X),Y) <-> C
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 56
% 4.62/4.84 Current number of rules: 167
% 4.62/4.84 New rule produced : [168] implies(implies(B,C),C) <-> ifeq(A,A,B big_V C,X)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 55
% 4.62/4.84 Current number of rules: 168
% 4.62/4.84 New rule produced : [169] ifeq(A,A,B big_V C,X) <-> implies(implies(B,C),C)
% 4.62/4.84 Current number of equations to process: 95
% 4.62/4.84 Current number of ordered equations: 54
% 4.62/4.84 Current number of rules: 169
% 4.62/4.84 New rule produced : [170] implies(implies(B,C),C) <-> ifeq2(A,A,B big_V C,X)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 53
% 4.94/5.22 Current number of rules: 170
% 4.94/5.22 New rule produced : [171] ifeq2(A,A,B big_V C,X) <-> implies(implies(B,C),C)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 52
% 4.94/5.22 Current number of rules: 171
% 4.94/5.22 New rule produced :
% 4.94/5.22 [172] not(implies(truth,not(A) big_V not(B))) <-> A big_hat B
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 51
% 4.94/5.22 Current number of rules: 172
% 4.94/5.22 New rule produced :
% 4.94/5.22 [173] not(not(A) big_V implies(truth,not(B))) <-> A big_hat B
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 50
% 4.94/5.22 Current number of rules: 173
% 4.94/5.22 New rule produced :
% 4.94/5.22 [174] A big_hat B <-> not(implies(truth,not(A) big_V not(B)))
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 49
% 4.94/5.22 Current number of rules: 174
% 4.94/5.22 New rule produced :
% 4.94/5.22 [175] A big_hat B <-> not(not(A) big_V implies(truth,not(B)))
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 48
% 4.94/5.22 Current number of rules: 175
% 4.94/5.22 New rule produced :
% 4.94/5.22 [176] A big_hat B <-> implies(truth,not(not(A) big_V not(B)))
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 47
% 4.94/5.22 Current number of rules: 176
% 4.94/5.22 New rule produced :
% 4.94/5.22 [177] implies(truth,not(not(A) big_V not(B))) <-> A big_hat B
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 46
% 4.94/5.22 Current number of rules: 177
% 4.94/5.22 New rule produced :
% 4.94/5.22 [178] implies(truth,implies(implies(A,B),B)) <-> implies(implies(B,A),A)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 45
% 4.94/5.22 Current number of rules: 178
% 4.94/5.22 New rule produced :
% 4.94/5.22 [179] implies(implies(B,A),A) <-> implies(truth,implies(implies(A,B),B))
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 44
% 4.94/5.22 Current number of rules: 179
% 4.94/5.22 New rule produced :
% 4.94/5.22 [180] implies(implies(B,A),A) <-> implies(implies(truth,implies(A,B)),B)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 43
% 4.94/5.22 Current number of rules: 180
% 4.94/5.22 New rule produced :
% 4.94/5.22 [181] implies(implies(truth,implies(A,B)),B) <-> implies(implies(B,A),A)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 42
% 4.94/5.22 Current number of rules: 181
% 4.94/5.22 New rule produced :
% 4.94/5.22 [182] implies(B,A) big_V A <-> implies(implies(implies(A,B),B),A)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 41
% 4.94/5.22 Current number of rules: 182
% 4.94/5.22 New rule produced :
% 4.94/5.22 [183] implies(implies(implies(A,B),B),A) <-> implies(B,A) big_V A
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 40
% 4.94/5.22 Current number of rules: 183
% 4.94/5.22 New rule produced :
% 4.94/5.22 [184] truth <-> ifeq(implies(truth,true),true,implies(x,y),truth)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 39
% 4.94/5.22 Current number of rules: 184
% 4.94/5.22 New rule produced :
% 4.94/5.22 [185] ifeq(implies(truth,true),true,implies(x,y),truth) <-> truth
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 38
% 4.94/5.22 Current number of rules: 185
% 4.94/5.22 New rule produced :
% 4.94/5.22 [186] truth <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 37
% 4.94/5.22 Current number of rules: 186
% 4.94/5.22 New rule produced :
% 4.94/5.22 [187] ifeq(ordered(A,A),true,truth big_V A,truth) <-> truth
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 36
% 4.94/5.22 Current number of rules: 187
% 4.94/5.22 New rule produced :
% 4.94/5.22 [188] truth <-> ifeq(ordered(truth,true),true,ordered(x,y),truth)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 35
% 4.94/5.22 Current number of rules: 188
% 4.94/5.22 New rule produced :
% 4.94/5.22 [189] ifeq(ordered(truth,true),true,ordered(x,y),truth) <-> truth
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 34
% 4.94/5.22 Current number of rules: 189
% 4.94/5.22 New rule produced :
% 4.94/5.22 [190] truth <-> implies(implies(not(A),not(A)),truth big_V A)
% 4.94/5.22 Current number of equations to process: 95
% 4.94/5.22 Current number of ordered equations: 33
% 4.94/5.22 Current number of rules: 190
% 4.94/5.22 New rule produced :
% 4.94/5.22 [191] implies(implies(not(A),not(A)),truth big_V A) <-> truth
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 32
% 5.25/5.47 Current number of rules: 191
% 5.25/5.47 New rule produced :
% 5.25/5.47 [192] truth <-> implies(implies(not(true),not(truth)),ordered(x,y))
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 31
% 5.25/5.47 Current number of rules: 192
% 5.25/5.47 New rule produced :
% 5.25/5.47 [193] implies(implies(not(true),not(truth)),ordered(x,y)) <-> truth
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 30
% 5.25/5.47 Current number of rules: 193
% 5.25/5.47 New rule produced :
% 5.25/5.47 [194] true <-> ifeq2(implies(x,y),truth,implies(truth,true),true)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 29
% 5.25/5.47 Current number of rules: 194
% 5.25/5.47 New rule produced :
% 5.25/5.47 [195] ifeq2(implies(x,y),truth,implies(truth,true),true) <-> true
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 28
% 5.25/5.47 Current number of rules: 195
% 5.25/5.47 New rule produced :
% 5.25/5.47 [196] true <-> ifeq2(truth big_V A,truth,ordered(A,A),true)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 27
% 5.25/5.47 Current number of rules: 196
% 5.25/5.47 New rule produced :
% 5.25/5.47 [197] ifeq2(truth big_V A,truth,ordered(A,A),true) <-> true
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 26
% 5.25/5.47 Current number of rules: 197
% 5.25/5.47 New rule produced :
% 5.25/5.47 [198] true <-> ifeq2(ordered(x,y),truth,ordered(truth,true),true)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 25
% 5.25/5.47 Current number of rules: 198
% 5.25/5.47 New rule produced :
% 5.25/5.47 [199] ifeq2(ordered(x,y),truth,ordered(truth,true),true) <-> true
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 24
% 5.25/5.47 Current number of rules: 199
% 5.25/5.47 New rule produced :
% 5.25/5.47 [200] not(not(B) big_V not(C)) <-> ifeq(A,A,B big_hat C,X)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 23
% 5.25/5.47 Current number of rules: 200
% 5.25/5.47 New rule produced :
% 5.25/5.47 [201] ifeq(A,A,B big_hat C,X) <-> not(not(B) big_V not(C))
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 22
% 5.25/5.47 Current number of rules: 201
% 5.25/5.47 New rule produced :
% 5.25/5.47 [202] not(not(B) big_V not(C)) <-> ifeq2(A,A,B big_hat C,X)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 21
% 5.25/5.47 Current number of rules: 202
% 5.25/5.47 New rule produced :
% 5.25/5.47 [203] ifeq2(A,A,B big_hat C,X) <-> not(not(B) big_V not(C))
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 20
% 5.25/5.47 Current number of rules: 203
% 5.25/5.47 New rule produced : [204] B big_V C <-> implies(ifeq(A,A,implies(B,C),X),C)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 19
% 5.25/5.47 Current number of rules: 204
% 5.25/5.47 New rule produced : [205] B big_V C <-> ifeq(A,A,implies(implies(B,C),C),X)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 18
% 5.25/5.47 Current number of rules: 205
% 5.25/5.47 New rule produced : [206] implies(ifeq(A,A,implies(B,C),X),C) <-> B big_V C
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 17
% 5.25/5.47 Current number of rules: 206
% 5.25/5.47 New rule produced : [207] ifeq(A,A,implies(implies(B,C),C),X) <-> B big_V C
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 16
% 5.25/5.47 Current number of rules: 207
% 5.25/5.47 New rule produced : [208] B big_V C <-> implies(ifeq2(A,A,implies(B,C),X),C)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 15
% 5.25/5.47 Current number of rules: 208
% 5.25/5.47 New rule produced : [209] B big_V C <-> ifeq2(A,A,implies(implies(B,C),C),X)
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 14
% 5.25/5.47 Current number of rules: 209
% 5.25/5.47 New rule produced : [210] implies(ifeq2(A,A,implies(B,C),X),C) <-> B big_V C
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 13
% 5.25/5.47 Current number of rules: 210
% 5.25/5.47 New rule produced : [211] ifeq2(A,A,implies(implies(B,C),C),X) <-> B big_V C
% 5.25/5.47 Current number of equations to process: 95
% 5.25/5.47 Current number of ordered equations: 12
% 5.25/5.47 Current number of rules: 211
% 5.25/5.47 New rule produced :
% 5.25/5.47 [212] not((A big_hat B) big_V not(C)) <-> (not(A) big_V not(B)) big_hat C
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 11
% 5.45/5.66 Current number of rules: 212
% 5.45/5.66 New rule produced :
% 5.45/5.66 [213] (not(A) big_V not(B)) big_hat C <-> not((A big_hat B) big_V not(C))
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 10
% 5.45/5.66 Current number of rules: 213
% 5.45/5.66 New rule produced :
% 5.45/5.66 [214] not(implies(implies(not(A),not(B)),not(B))) <-> A big_hat B
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 9
% 5.45/5.66 Current number of rules: 214
% 5.45/5.66 New rule produced :
% 5.45/5.66 [215] A big_hat B <-> not(implies(implies(not(A),not(B)),not(B)))
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 8
% 5.45/5.66 Current number of rules: 215
% 5.45/5.66 New rule produced :
% 5.45/5.66 [216] implies(truth,true) <-> ifeq2(implies(A,B),truth,ordered(A,B),true)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 7
% 5.45/5.66 Current number of rules: 216
% 5.45/5.66 New rule produced :
% 5.45/5.66 [217] ifeq2(implies(A,B),truth,ordered(A,B),true) <-> implies(truth,true)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 6
% 5.45/5.66 Current number of rules: 217
% 5.45/5.66 New rule produced :
% 5.45/5.66 [218] ordered(x,y) <-> ifeq2(implies(A,B),truth,ordered(A,B),true)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 5
% 5.45/5.66 Current number of rules: 218
% 5.45/5.66 New rule produced :
% 5.45/5.66 [219] ifeq2(implies(A,B),truth,ordered(A,B),true) <-> ordered(x,y)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 4
% 5.45/5.66 Current number of rules: 219
% 5.45/5.66 New rule produced :
% 5.45/5.66 [220] implies(truth,truth) <-> ifeq(ordered(A,B),true,implies(A,B),truth)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 3
% 5.45/5.66 Current number of rules: 220
% 5.45/5.66 New rule produced :
% 5.45/5.66 [221] ifeq(ordered(A,B),true,implies(A,B),truth) <-> implies(truth,truth)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 2
% 5.45/5.66 Current number of rules: 221
% 5.45/5.66 New rule produced :
% 5.45/5.66 [222] implies(truth,truth) <-> implies(implies(not(A),not(B)),implies(B,A))
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 1
% 5.45/5.66 Current number of rules: 222
% 5.45/5.66 New rule produced :
% 5.45/5.66 [223] implies(implies(not(A),not(B)),implies(B,A)) <-> implies(truth,truth)
% 5.45/5.66 Current number of equations to process: 95
% 5.45/5.66 Current number of ordered equations: 0
% 5.45/5.66 Current number of rules: 223
% 5.45/5.66 New rule produced :
% 5.45/5.66 [224] truth <-> implies(implies(implies(implies(A,B),B),A),truth)
% 5.45/5.66 Current number of equations to process: 142
% 5.45/5.66 Current number of ordered equations: 1
% 5.45/5.66 Current number of rules: 224
% 5.45/5.66 New rule produced :
% 5.45/5.66 [225] implies(implies(implies(implies(A,B),B),A),truth) <-> truth
% 5.45/5.66 Current number of equations to process: 142
% 5.45/5.66 Current number of ordered equations: 0
% 5.45/5.66 Current number of rules: 225
% 5.45/5.66 New rule produced :
% 5.45/5.66 [226] truth <-> implies(A,implies(implies(A,B),implies(truth,B)))
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 5
% 5.45/5.66 Current number of rules: 226
% 5.45/5.66 New rule produced :
% 5.45/5.66 [227] truth <-> implies(implies(truth,A),implies(implies(A,B),B))
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 4
% 5.45/5.66 Current number of rules: 227
% 5.45/5.66 New rule produced :
% 5.45/5.66 [228] truth <-> implies(implies(A,truth),implies(B,implies(A,B)))
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 3
% 5.45/5.66 Current number of rules: 228
% 5.45/5.66 New rule produced :
% 5.45/5.66 [229] implies(A,implies(implies(A,B),implies(truth,B))) <-> truth
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 2
% 5.45/5.66 Current number of rules: 229
% 5.45/5.66 New rule produced :
% 5.45/5.66 [230] implies(implies(truth,A),implies(implies(A,B),B)) <-> truth
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 1
% 5.45/5.66 Current number of rules: 230
% 5.45/5.66 New rule produced :
% 5.45/5.66 [231] implies(implies(A,truth),implies(B,implies(A,B))) <-> truth
% 5.45/5.66 Current number of equations to process: 139
% 5.45/5.66 Current number of ordered equations: 0
% 5.45/5.66 Current number of rules: 231
% 5.45/5.66 New rule produced :
% 5.45/5.66 [232] truth <-> implies(implies(A,A),truth big_V implies(A,B))
% 5.45/5.66 Current number of equations to process: 138
% 5.45/5.66 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 232
% 5.61/5.81 New rule produced :
% 5.61/5.81 [233] implies(implies(A,A),truth big_V implies(A,B)) <-> truth
% 5.61/5.81 Current number of equations to process: 138
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 233
% 5.61/5.81 New rule produced : [234] truth <-> implies(implies(A,not(not(A))),truth)
% 5.61/5.81 Current number of equations to process: 143
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 234
% 5.61/5.81 New rule produced : [235] implies(implies(A,not(not(A))),truth) <-> truth
% 5.61/5.81 Current number of equations to process: 143
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 235
% 5.61/5.81 New rule produced : [236] A <-> implies(truth big_V truth,A)
% 5.61/5.81 Current number of equations to process: 148
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 236
% 5.61/5.81 New rule produced : [237] implies(truth big_V truth,A) <-> A
% 5.61/5.81 Current number of equations to process: 148
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 237
% 5.61/5.81 New rule produced : [238] implies(A,A) <-> (truth big_V truth) big_V A
% 5.61/5.81 Current number of equations to process: 151
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 238
% 5.61/5.81 New rule produced : [239] (truth big_V truth) big_V A <-> implies(A,A)
% 5.61/5.81 Current number of equations to process: 151
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 239
% 5.61/5.81 New rule produced : [240] ordered(x,y) <-> implies(truth big_V truth,true)
% 5.61/5.81 Current number of equations to process: 150
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 240
% 5.61/5.81 New rule produced : [241] implies(truth big_V truth,true) <-> ordered(x,y)
% 5.61/5.81 Current number of equations to process: 150
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 241
% 5.61/5.81 New rule produced : [242] truth big_V truth <-> ifeq(A,A,truth,B)
% 5.61/5.81 Current number of equations to process: 149
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 242
% 5.61/5.81 New rule produced : [243] ifeq(A,A,truth,B) <-> truth big_V truth
% 5.61/5.81 Current number of equations to process: 149
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 243
% 5.61/5.81 New rule produced : [244] truth big_V truth <-> ifeq2(A,A,truth,B)
% 5.61/5.81 Current number of equations to process: 148
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 244
% 5.61/5.81 New rule produced : [245] ifeq2(A,A,truth,B) <-> truth big_V truth
% 5.61/5.81 Current number of equations to process: 148
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 245
% 5.61/5.81 New rule produced : [246] truth <-> truth big_V implies(truth,truth)
% 5.61/5.81 Current number of equations to process: 153
% 5.61/5.81 Current number of ordered equations: 3
% 5.61/5.81 Current number of rules: 246
% 5.61/5.81 New rule produced : [247] truth <-> implies(truth,truth big_V truth)
% 5.61/5.81 Current number of equations to process: 153
% 5.61/5.81 Current number of ordered equations: 2
% 5.61/5.81 Current number of rules: 247
% 5.61/5.81 New rule produced : [248] truth big_V implies(truth,truth) <-> truth
% 5.61/5.81 Current number of equations to process: 153
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 248
% 5.61/5.81 New rule produced : [249] implies(truth,truth big_V truth) <-> truth
% 5.61/5.81 Current number of equations to process: 153
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 249
% 5.61/5.81 New rule produced : [250] truth <-> truth big_V (truth big_V truth)
% 5.61/5.81 Current number of equations to process: 159
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 250
% 5.61/5.81 New rule produced : [251] truth big_V (truth big_V truth) <-> truth
% 5.61/5.81 Current number of equations to process: 159
% 5.61/5.81 Current number of ordered equations: 0
% 5.61/5.81 Current number of rules: 251
% 5.61/5.81 New rule produced : [252] truth <-> truth big_V ifeq(A,A,truth,B)
% 5.61/5.81 Current number of equations to process: 160
% 5.61/5.81 Current number of ordered equations: 3
% 5.61/5.81 Current number of rules: 252
% 5.61/5.81 New rule produced : [253] truth <-> ifeq(A,A,truth big_V truth,B)
% 5.61/5.81 Current number of equations to process: 160
% 5.61/5.81 Current number of ordered equations: 2
% 5.61/5.81 Current number of rules: 253
% 5.61/5.81 New rule produced : [254] truth big_V ifeq(A,A,truth,B) <-> truth
% 5.61/5.81 Current number of equations to process: 160
% 5.61/5.81 Current number of ordered equations: 1
% 5.61/5.81 Current number of rules: 254
% 5.61/5.81 New rule produced : [255] ifeq(A,A,truth big_V truth,B) <-> truth
% 5.61/5.81 Current number of equations to process: 160
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 255
% 5.75/5.95 New rule produced : [256] truth <-> ifeq2(A,A,truth big_V truth,B)
% 5.75/5.95 Current number of equations to process: 158
% 5.75/5.95 Current number of ordered equations: 3
% 5.75/5.95 Current number of rules: 256
% 5.75/5.95 New rule produced : [257] truth <-> truth big_V ifeq2(A,A,truth,B)
% 5.75/5.95 Current number of equations to process: 158
% 5.75/5.95 Current number of ordered equations: 2
% 5.75/5.95 Current number of rules: 257
% 5.75/5.95 New rule produced : [258] ifeq2(A,A,truth big_V truth,B) <-> truth
% 5.75/5.95 Current number of equations to process: 158
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 258
% 5.75/5.95 New rule produced : [259] truth big_V ifeq2(A,A,truth,B) <-> truth
% 5.75/5.95 Current number of equations to process: 158
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 259
% 5.75/5.95 New rule produced : [260] ordered(x,implies(truth,y)) <-> ifeq(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 157
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 260
% 5.75/5.95 New rule produced : [261] ifeq(A,A,true,B) <-> ordered(x,implies(truth,y))
% 5.75/5.95 Current number of equations to process: 157
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 261
% 5.75/5.95 New rule produced : [262] ordered(x,implies(truth,y)) <-> ifeq2(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 156
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 262
% 5.75/5.95 New rule produced : [263] ifeq2(A,A,true,B) <-> ordered(x,implies(truth,y))
% 5.75/5.95 Current number of equations to process: 156
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 263
% 5.75/5.95 New rule produced : [264] ordered(implies(truth,x),y) <-> ifeq(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 161
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 264
% 5.75/5.95 New rule produced : [265] ifeq(A,A,true,B) <-> ordered(implies(truth,x),y)
% 5.75/5.95 Current number of equations to process: 161
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 265
% 5.75/5.95 New rule produced : [266] ordered(implies(truth,x),y) <-> ifeq2(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 160
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 266
% 5.75/5.95 New rule produced : [267] ifeq2(A,A,true,B) <-> ordered(implies(truth,x),y)
% 5.75/5.95 Current number of equations to process: 160
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 267
% 5.75/5.95 New rule produced :
% 5.75/5.95 [268] ordered(x,implies(truth,y)) <-> ordered(implies(truth,x),y)
% 5.75/5.95 Current number of equations to process: 165
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 268
% 5.75/5.95 New rule produced :
% 5.75/5.95 [269] ordered(implies(truth,x),y) <-> ordered(x,implies(truth,y))
% 5.75/5.95 Current number of equations to process: 165
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 269
% 5.75/5.95 New rule produced : [270] implies(truth,ordered(x,y)) <-> ifeq(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 164
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 270
% 5.75/5.95 New rule produced : [271] ifeq(A,A,true,B) <-> implies(truth,ordered(x,y))
% 5.75/5.95 Current number of equations to process: 164
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 271
% 5.75/5.95 New rule produced : [272] implies(truth,ordered(x,y)) <-> ifeq2(A,A,true,B)
% 5.75/5.95 Current number of equations to process: 163
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 272
% 5.75/5.95 New rule produced : [273] ifeq2(A,A,true,B) <-> implies(truth,ordered(x,y))
% 5.75/5.95 Current number of equations to process: 163
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 273
% 5.75/5.95 New rule produced :
% 5.75/5.95 [274] ordered(x,implies(truth,y)) <-> implies(truth,ordered(x,y))
% 5.75/5.95 Current number of equations to process: 182
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 274
% 5.75/5.95 New rule produced :
% 5.75/5.95 [275] implies(truth,ordered(x,y)) <-> ordered(x,implies(truth,y))
% 5.75/5.95 Current number of equations to process: 182
% 5.75/5.95 Current number of ordered equations: 0
% 5.75/5.95 Current number of rules: 275
% 5.75/5.95 New rule produced :
% 5.75/5.95 [276] ordered(implies(truth,x),y) <-> implies(truth,ordered(x,y))
% 5.75/5.95 Current number of equations to process: 181
% 5.75/5.95 Current number of ordered equations: 1
% 5.75/5.95 Current number of rules: 276
% 5.75/5.95 New rule produced :
% 5.75/5.95 [277] implies(truth,ordered(x,y)) <-> ordered(implies(truth,x),y)
% 5.96/6.15 Current number of equations to process: 181
% 5.96/6.15 Current number of ordered equations: 0
% 5.96/6.15 Current number of rules: 277
% 5.96/6.15 New rule produced : [278] true <-> ordered(x,implies(truth,implies(truth,y)))
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 7
% 5.96/6.15 Current number of rules: 278
% 5.96/6.15 New rule produced : [279] true <-> ordered(x,implies(implies(truth,truth),y))
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 6
% 5.96/6.15 Current number of rules: 279
% 5.96/6.15 New rule produced : [280] true <-> ordered(implies(truth,x),implies(truth,y))
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 5
% 5.96/6.15 Current number of rules: 280
% 5.96/6.15 New rule produced : [281] true <-> implies(truth,ordered(x,implies(truth,y)))
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 4
% 5.96/6.15 Current number of rules: 281
% 5.96/6.15 New rule produced : [282] ordered(x,implies(truth,implies(truth,y))) <-> true
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 3
% 5.96/6.15 Current number of rules: 282
% 5.96/6.15 New rule produced : [283] ordered(x,implies(implies(truth,truth),y)) <-> true
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 2
% 5.96/6.15 Current number of rules: 283
% 5.96/6.15 New rule produced : [284] ordered(implies(truth,x),implies(truth,y)) <-> true
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 1
% 5.96/6.15 Current number of rules: 284
% 5.96/6.15 New rule produced : [285] implies(truth,ordered(x,implies(truth,y))) <-> true
% 5.96/6.15 Current number of equations to process: 177
% 5.96/6.15 Current number of ordered equations: 0
% 5.96/6.15 Current number of rules: 285
% 5.96/6.15 New rule produced : [286] true <-> ordered(x,implies(truth big_V truth,y))
% 5.96/6.15 Current number of equations to process: 195
% 5.96/6.15 Current number of ordered equations: 1
% 5.96/6.15 Current number of rules: 286
% 5.96/6.15 New rule produced : [287] ordered(x,implies(truth big_V truth,y)) <-> true
% 5.96/6.15 Current number of equations to process: 195
% 5.96/6.15 Current number of ordered equations: 0
% 5.96/6.15 Current number of rules: 287
% 5.96/6.15 New rule produced : [288] true <-> ordered(implies(truth,implies(truth,x)),y)
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 5
% 5.96/6.15 Current number of rules: 288
% 5.96/6.15 New rule produced : [289] true <-> implies(truth,ordered(implies(truth,x),y))
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 4
% 5.96/6.15 Current number of rules: 289
% 5.96/6.15 New rule produced : [290] true <-> ordered(implies(implies(truth,truth),x),y)
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 3
% 5.96/6.15 Current number of rules: 290
% 5.96/6.15 New rule produced : [291] ordered(implies(truth,implies(truth,x)),y) <-> true
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 2
% 5.96/6.15 Current number of rules: 291
% 5.96/6.15 New rule produced : [292] implies(truth,ordered(implies(truth,x),y)) <-> true
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 1
% 5.96/6.15 Current number of rules: 292
% 5.96/6.15 New rule produced : [293] ordered(implies(implies(truth,truth),x),y) <-> true
% 5.96/6.15 Current number of equations to process: 192
% 5.96/6.15 Current number of ordered equations: 0
% 5.96/6.15 Current number of rules: 293
% 5.96/6.15 New rule produced : [294] true <-> ordered(implies(truth big_V truth,x),y)
% 5.96/6.15 Current number of equations to process: 212
% 5.96/6.15 Current number of ordered equations: 1
% 5.96/6.15 Current number of rules: 294
% 5.96/6.15 New rule produced : [295] ordered(implies(truth big_V truth,x),y) <-> true
% 5.96/6.15 Current number of equations to process: 212
% 5.96/6.15 Current number of ordered equations: 0
% 5.96/6.15 Current number of rules: 295
% 5.96/6.15 New rule produced : [296] true <-> implies(truth,implies(truth,ordered(x,y)))
% 5.96/6.15 Current number of equations to process: 210
% 5.96/6.15 Current number of ordered equations: 3
% 5.96/6.15 Current number of rules: 296
% 5.96/6.15 New rule produced : [297] true <-> implies(implies(truth,truth),ordered(x,y))
% 5.96/6.15 Current number of equations to process: 210
% 5.96/6.15 Current number of ordered equations: 2
% 5.96/6.15 Current number of rules: 297
% 5.96/6.15 New rule produced : [298] implies(truth,implies(truth,ordered(x,y))) <-> true
% 5.96/6.15 Current number of equations to process: 210
% 5.96/6.15 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 298
% 6.15/6.41 New rule produced : [299] implies(implies(truth,truth),ordered(x,y)) <-> true
% 6.15/6.41 Current number of equations to process: 210
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 299
% 6.15/6.41 New rule produced :
% 6.15/6.41 [300] truth big_V ordered(x,y) <-> implies(true,ordered(x,y))
% 6.15/6.41 Current number of equations to process: 209
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 300
% 6.15/6.41 New rule produced :
% 6.15/6.41 [301] implies(true,ordered(x,y)) <-> truth big_V ordered(x,y)
% 6.15/6.41 Current number of equations to process: 209
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 301
% 6.15/6.41 New rule produced : [302] (eq)(A,implies(truth,A)) -> (false)
% 6.15/6.41 Current number of equations to process: 217
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 302
% 6.15/6.41 New rule produced :
% 6.15/6.41 [303] (eq)(truth,implies(truth,truth big_V truth)) -> (false)
% 6.15/6.41 Current number of equations to process: 226
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 303
% 6.15/6.41 New rule produced : [304] (eq)(true,implies(truth,ordered(x,y))) -> (false)
% 6.15/6.41 Current number of equations to process: 225
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 304
% 6.15/6.41 New rule produced : [305] true <-> implies(truth big_V truth,ordered(x,y))
% 6.15/6.41 Current number of equations to process: 228
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 305
% 6.15/6.41 New rule produced : [306] implies(truth big_V truth,ordered(x,y)) <-> true
% 6.15/6.41 Current number of equations to process: 228
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 306
% 6.15/6.41 New rule produced :
% 6.15/6.41 [307] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (false)
% 6.15/6.41 Current number of equations to process: 225
% 6.15/6.41 Current number of ordered equations: 2
% 6.15/6.41 Current number of rules: 307
% 6.15/6.41 New rule produced :
% 6.15/6.41 [308] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (false)
% 6.15/6.41 Current number of equations to process: 225
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 308
% 6.15/6.41 New rule produced :
% 6.15/6.41 [309] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (false)
% 6.15/6.41 Current number of equations to process: 225
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 309
% 6.15/6.41 New rule produced : [310] (eq)(ordered(x,y),implies(truth,true)) -> (false)
% 6.15/6.41 Current number of equations to process: 229
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 310
% 6.15/6.41 New rule produced :
% 6.15/6.41 [311] (eq)(A,implies(truth,implies(truth big_V truth,A))) -> (false)
% 6.15/6.41 Current number of equations to process: 267
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 311
% 6.15/6.41 New rule produced :
% 6.15/6.41 [312] (eq)(A,implies(truth big_V truth,implies(truth,A))) -> (false)
% 6.15/6.41 Current number of equations to process: 267
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 312
% 6.15/6.41 New rule produced :
% 6.15/6.41 [313] A <-> implies(truth,implies(truth,implies(truth,A)))
% 6.15/6.41 Current number of equations to process: 265
% 6.15/6.41 Current number of ordered equations: 3
% 6.15/6.41 Current number of rules: 313
% 6.15/6.41 New rule produced :
% 6.15/6.41 [314] A <-> implies(implies(truth,implies(truth,truth)),A)
% 6.15/6.41 Current number of equations to process: 265
% 6.15/6.41 Current number of ordered equations: 2
% 6.15/6.41 Current number of rules: 314
% 6.15/6.41 New rule produced :
% 6.15/6.41 [315] implies(truth,implies(truth,implies(truth,A))) <-> A
% 6.15/6.41 Current number of equations to process: 265
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 315
% 6.15/6.41 New rule produced :
% 6.15/6.41 [316] implies(implies(truth,implies(truth,truth)),A) <-> A
% 6.15/6.41 Current number of equations to process: 265
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 316
% 6.15/6.41 New rule produced : [317] implies(truth,implies(truth,B)) <-> ifeq(A,A,B,C)
% 6.15/6.41 Current number of equations to process: 264
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 317
% 6.15/6.41 New rule produced : [318] ifeq(A,A,B,C) <-> implies(truth,implies(truth,B))
% 6.15/6.41 Current number of equations to process: 264
% 6.15/6.41 Current number of ordered equations: 0
% 6.15/6.41 Current number of rules: 318
% 6.15/6.41 New rule produced : [319] implies(truth,implies(truth,B)) <-> ifeq2(A,A,B,C)
% 6.15/6.41 Current number of equations to process: 263
% 6.15/6.41 Current number of ordered equations: 1
% 6.15/6.41 Current number of rules: 319
% 6.15/6.41 New rule produced : [320] ifeq2(A,A,B,C) <-> implies(truth,implies(truth,B))
% 6.55/6.80 Current number of equations to process: 263
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 320
% 6.55/6.80 New rule produced :
% 6.55/6.80 [321] truth <-> truth big_V implies(truth,implies(truth,truth))
% 6.55/6.80 Current number of equations to process: 328
% 6.55/6.80 Current number of ordered equations: 3
% 6.55/6.80 Current number of rules: 321
% 6.55/6.80 New rule produced :
% 6.55/6.80 [322] truth <-> implies(truth,implies(truth,truth big_V truth))
% 6.55/6.80 Current number of equations to process: 328
% 6.55/6.80 Current number of ordered equations: 2
% 6.55/6.80 Current number of rules: 322
% 6.55/6.80 New rule produced :
% 6.55/6.80 [323] truth big_V implies(truth,implies(truth,truth)) <-> truth
% 6.55/6.80 Current number of equations to process: 328
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 323
% 6.55/6.80 New rule produced :
% 6.55/6.80 [324] implies(truth,implies(truth,truth big_V truth)) <-> truth
% 6.55/6.80 Current number of equations to process: 328
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 324
% 6.55/6.80 New rule produced :
% 6.55/6.80 [325] ordered(x,implies(truth,y)) <-> implies(truth,implies(truth,true))
% 6.55/6.80 Current number of equations to process: 327
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 325
% 6.55/6.80 New rule produced :
% 6.55/6.80 [326] implies(truth,implies(truth,true)) <-> ordered(x,implies(truth,y))
% 6.55/6.80 Current number of equations to process: 327
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 326
% 6.55/6.80 New rule produced :
% 6.55/6.80 [327] ordered(implies(truth,x),y) <-> implies(truth,implies(truth,true))
% 6.55/6.80 Current number of equations to process: 326
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 327
% 6.55/6.80 New rule produced :
% 6.55/6.80 [328] implies(truth,implies(truth,true)) <-> ordered(implies(truth,x),y)
% 6.55/6.80 Current number of equations to process: 326
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 328
% 6.55/6.80 New rule produced :
% 6.55/6.80 [329] A <-> implies(implies(truth,truth),implies(truth,A))
% 6.55/6.80 Current number of equations to process: 324
% 6.55/6.80 Current number of ordered equations: 3
% 6.55/6.80 Current number of rules: 329
% 6.55/6.80 New rule produced :
% 6.55/6.80 [330] A <-> implies(implies(implies(truth,truth),truth),A)
% 6.55/6.80 Current number of equations to process: 324
% 6.55/6.80 Current number of ordered equations: 2
% 6.55/6.80 Current number of rules: 330
% 6.55/6.80 New rule produced :
% 6.55/6.80 [331] implies(implies(truth,truth),implies(truth,A)) <-> A
% 6.55/6.80 Current number of equations to process: 324
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 331
% 6.55/6.80 New rule produced :
% 6.55/6.80 [332] implies(implies(implies(truth,truth),truth),A) <-> A
% 6.55/6.80 Current number of equations to process: 324
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 332
% 6.55/6.80 New rule produced : [333] implies(implies(truth,truth),B) <-> ifeq(A,A,B,C)
% 6.55/6.80 Current number of equations to process: 323
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 333
% 6.55/6.80 New rule produced : [334] ifeq(A,A,B,C) <-> implies(implies(truth,truth),B)
% 6.55/6.80 Current number of equations to process: 323
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 334
% 6.55/6.80 New rule produced : [335] implies(implies(truth,truth),B) <-> ifeq2(A,A,B,C)
% 6.55/6.80 Current number of equations to process: 322
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 335
% 6.55/6.80 New rule produced : [336] ifeq2(A,A,B,C) <-> implies(implies(truth,truth),B)
% 6.55/6.80 Current number of equations to process: 322
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 336
% 6.55/6.80 New rule produced :
% 6.55/6.80 [337] truth <-> truth big_V implies(implies(truth,truth),truth)
% 6.55/6.80 Current number of equations to process: 369
% 6.55/6.80 Current number of ordered equations: 3
% 6.55/6.80 Current number of rules: 337
% 6.55/6.80 New rule produced :
% 6.55/6.80 [338] truth <-> implies(implies(truth,truth),truth big_V truth)
% 6.55/6.80 Current number of equations to process: 369
% 6.55/6.80 Current number of ordered equations: 2
% 6.55/6.80 Current number of rules: 338
% 6.55/6.80 New rule produced :
% 6.55/6.80 [339] truth big_V implies(implies(truth,truth),truth) <-> truth
% 6.55/6.80 Current number of equations to process: 369
% 6.55/6.80 Current number of ordered equations: 1
% 6.55/6.80 Current number of rules: 339
% 6.55/6.80 New rule produced :
% 6.55/6.80 [340] implies(implies(truth,truth),truth big_V truth) <-> truth
% 6.55/6.80 Current number of equations to process: 369
% 6.55/6.80 Current number of ordered equations: 0
% 6.55/6.80 Current number of rules: 340
% 6.55/6.80 New rule produced :
% 6.66/6.89 [341] ordered(x,implies(truth,y)) <-> implies(implies(truth,truth),true)
% 6.66/6.89 Current number of equations to process: 368
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 341
% 6.66/6.89 New rule produced :
% 6.66/6.89 [342] implies(implies(truth,truth),true) <-> ordered(x,implies(truth,y))
% 6.66/6.89 Current number of equations to process: 368
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 342
% 6.66/6.89 New rule produced :
% 6.66/6.89 [343] ordered(implies(truth,x),y) <-> implies(implies(truth,truth),true)
% 6.66/6.89 Current number of equations to process: 367
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 343
% 6.66/6.89 New rule produced :
% 6.66/6.89 [344] implies(implies(truth,truth),true) <-> ordered(implies(truth,x),y)
% 6.66/6.89 Current number of equations to process: 367
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 344
% 6.66/6.89 New rule produced :
% 6.66/6.89 [345] implies(truth,ordered(x,y)) <-> implies(implies(truth,truth),true)
% 6.66/6.89 Current number of equations to process: 366
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 345
% 6.66/6.89 New rule produced :
% 6.66/6.89 [346] implies(implies(truth,truth),true) <-> implies(truth,ordered(x,y))
% 6.66/6.89 Current number of equations to process: 366
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 346
% 6.66/6.89 New rule produced :
% 6.66/6.89 [347] implies(truth,implies(truth,A)) <-> implies(implies(truth,truth),A)
% 6.66/6.89 Current number of equations to process: 365
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 347
% 6.66/6.89 New rule produced :
% 6.66/6.89 [348] implies(implies(truth,truth),A) <-> implies(truth,implies(truth,A))
% 6.66/6.89 Current number of equations to process: 365
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 348
% 6.66/6.89 New rule produced :
% 6.66/6.89 [349] A <-> implies(truth,implies(implies(truth,truth),A))
% 6.66/6.89 Current number of equations to process: 364
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 349
% 6.66/6.89 New rule produced :
% 6.66/6.89 [350] implies(truth,implies(implies(truth,truth),A)) <-> A
% 6.66/6.89 Current number of equations to process: 364
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 350
% 6.66/6.89 New rule produced :
% 6.66/6.89 [351] truth big_V implies(truth,A) <-> implies(A,implies(truth,A))
% 6.66/6.89 Current number of equations to process: 363
% 6.66/6.89 Current number of ordered equations: 1
% 6.66/6.89 Current number of rules: 351
% 6.66/6.89 New rule produced :
% 6.66/6.89 [352] implies(A,implies(truth,A)) <-> truth big_V implies(truth,A)
% 6.66/6.89 Current number of equations to process: 363
% 6.66/6.89 Current number of ordered equations: 0
% 6.66/6.89 Current number of rules: 352
% 6.66/6.89 Rule [312] (eq)(A,implies(truth big_V truth,implies(truth,A))) -> (false) is composed into
% 6.66/6.89 [312] (eq)(A,implies(truth big_V truth,implies(truth,A))) -> (true)
% 6.66/6.89 Rule [311] (eq)(A,implies(truth,implies(truth big_V truth,A))) -> (false) is composed into
% 6.66/6.89 [311] (eq)(A,implies(truth,implies(truth big_V truth,A))) -> (true)
% 6.66/6.89 Rule [310] (eq)(ordered(x,y),implies(truth,true)) -> (false) is composed into
% 6.66/6.89 [310] (eq)(ordered(x,y),implies(truth,true)) -> (true)
% 6.66/6.89 Rule [309] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (false) is composed into
% 6.66/6.89 [309] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (true)
% 6.66/6.89 Rule [308] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (false) is composed into
% 6.66/6.89 [308] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (true)
% 6.66/6.89 Rule [307] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (false) is composed into
% 6.66/6.89 [307] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (true)
% 6.66/6.89 Rule [304] (eq)(true,implies(truth,ordered(x,y))) -> (false) is composed into
% 6.66/6.89 [304] (eq)(true,implies(truth,ordered(x,y))) -> (true)
% 6.66/6.89 Rule [303] (eq)(truth,implies(truth,truth big_V truth)) -> (false) is composed into
% 6.66/6.89 [303] (eq)(truth,implies(truth,truth big_V truth)) -> (true)
% 6.66/6.89 Rule [302] (eq)(A,implies(truth,A)) -> (false) is composed into [302]
% 6.66/6.89 (eq)(A,
% 6.66/6.89 implies(truth,A))
% 6.66/6.89 -> (true)
% 6.66/6.89 Rule [35] (eq)(A,implies(truth,implies(truth,A))) -> (false) is composed into
% 6.66/6.89 [35] (eq)(A,implies(truth,implies(truth,A))) -> (true)
% 6.66/6.89 New rule produced : [353] (false) -> (true)
% 6.72/6.91 The conjecture has been reduced.
% 6.72/6.91 Conjecture is now:
% 6.72/6.91 Trivial
% 6.72/6.91
% 6.72/6.91 Current number of equations to process: 370
% 6.72/6.91 Current number of ordered equations: 0
% 6.72/6.91 Current number of rules: 353
% 6.72/6.91 The current conjecture is true and the solution is the identity
% 6.72/6.91 % SZS output start Refutation
% 6.72/6.91
% 6.72/6.91 The following 5 rules have been used:
% 6.72/6.91 [1]
% 6.72/6.91 X <-> implies(truth,X); trace = in the starting set
% 6.72/6.91 [4] implies(truth,X) <-> X; trace = in the starting set
% 6.72/6.91 [35] (eq)(A,implies(truth,implies(truth,A))) -> (false); trace = in the starting set
% 6.72/6.91 [38] implies(truth,implies(truth,A)) <-> A; trace = Cp of 4 and 1
% 6.72/6.91 [353] (false) -> (true); trace = Cp of 38 and 35
% 6.72/6.91 The current conjecture A = implies(implies(truth,truth),A)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(truth,implies(truth,A)) = A
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(implies(truth,truth),A) = A
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(B,B,A,C) = implies(truth,A)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(truth,A) = ifeq(B,B,A,C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ordered(x,y) = ifeq(A,A,true,B)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(A,A,true,B) = ordered(x,y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq2(B,B,A,C) = implies(truth,A)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(truth,A) = ifeq2(B,B,A,C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ordered(x,y) = ifeq2(A,A,true,B)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq2(A,A,true,B) = ordered(x,y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(A,A) = implies(implies(A,truth),truth)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(implies(A,truth),truth) = implies(A,A)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 A big_V B = implies(implies(B,A),A)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(implies(B,A),A) = A big_V B
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(A,B) big_V B = implies(A big_V B,B)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(A big_V B,B) = implies(A,B) big_V B
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(X,X,B,Y) = ifeq(A,A,B,C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(A,A,B,C) = ifeq(X,X,B,Y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ordered(x,ifeq(A,A,y,B))
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ordered(ifeq(A,A,x,B),y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ifeq(A,A,ordered(x,y),B)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ordered(x,ifeq(A,A,y,B)) = true
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ordered(ifeq(A,A,x,B),y) = true
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(A,A,ordered(x,y),B) = true
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture A =
% 6.72/6.91 ifeq(B,B,implies(truth,A),C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture C =
% 6.72/6.91 implies(ifeq(A,A,truth,B),C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq(B,B,implies(truth,A),C) = A
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 implies(ifeq(A,A,truth,B),C) = C
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq2(X,X,B,Y) = ifeq2(A,A,B,C)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ifeq2(A,A,B,C) = ifeq2(X,X,B,Y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ordered(x,ifeq2(A,A,y,B))
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ordered(ifeq2(A,A,x,B),y)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture true =
% 6.72/6.91 ifeq2(A,A,ordered(x,y),B)
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.91 The current conjecture
% 6.72/6.91 ordered(x,ifeq2(A,A,y,B)) = true
% 6.72/6.91 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ordered(ifeq2(A,A,x,B),y) = true
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(A,A,ordered(x,y),B) = true
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture A =
% 6.72/6.93 ifeq2(B,B,implies(truth,A),C)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture C =
% 6.72/6.93 implies(ifeq2(A,A,truth,B),C)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(B,B,implies(truth,A),C) = A
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(ifeq2(A,A,truth,B),C) = C
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(X,X,B,Y) = ifeq(A,A,B,C)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq(A,A,B,C) = ifeq2(X,X,B,Y)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture B =
% 6.72/6.93 implies(truth,ifeq(A,A,B,C))
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(truth,ifeq(A,A,B,C)) = B
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture B =
% 6.72/6.93 implies(truth,ifeq2(A,A,B,C))
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(truth,ifeq2(A,A,B,C)) = B
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(truth,A big_V B) = implies(implies(A,B),B)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(implies(A,B),B) = implies(truth,A big_V B)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(A,B) big_V B = implies(A big_V B,B)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(A big_V B,B) = implies(A,B) big_V B
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture truth =
% 6.72/6.93 ifeq(true,true,implies(x,y),truth)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq(true,true,implies(x,y),truth) = truth
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture truth =
% 6.72/6.93 ifeq(ordered(truth,A),true,A,truth)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq(ordered(truth,A),true,A,truth) = truth
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture true =
% 6.72/6.93 ifeq2(implies(x,y),truth,true,true)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(implies(x,y),truth,true,true) = true
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture true =
% 6.72/6.93 ifeq2(A,truth,ordered(truth,A),true)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(A,truth,ordered(truth,A),true) = true
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 A big_V B = implies(truth,implies(implies(A,B),B))
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 A big_V B = implies(implies(truth,implies(A,B)),B)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(truth,implies(implies(A,B),B)) = A big_V B
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(implies(truth,implies(A,B)),B) = A big_V B
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 not(not(A) big_V not(B)) = implies(truth,A big_hat B)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(truth,A big_hat B) = not(not(A) big_V not(B))
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture truth =
% 6.72/6.93 implies(implies(not(X),not(Y)),implies(Y,X))
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 implies(implies(not(X),not(Y)),implies(Y,X)) = truth
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture C =
% 6.72/6.93 ifeq(A,A,ifeq(B,B,C,X),Y)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq(A,A,ifeq(B,B,C,X),Y) = C
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture C =
% 6.72/6.93 ifeq2(A,A,ifeq(B,B,C,X),Y)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq2(A,A,ifeq(B,B,C,X),Y) = C
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture C =
% 6.72/6.93 ifeq(A,A,ifeq2(B,B,C,X),Y)
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture
% 6.72/6.93 ifeq(A,A,ifeq2(B,B,C,X),Y) = C
% 6.72/6.93 is true and the solution is the identity
% 6.72/6.93 The current conjecture C =
% 6.72/6.93 ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 6.72/6.93 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq2(A,A,ifeq2(B,B,C,X),Y) = C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(B,C),C) = ifeq(A,A,B big_V C,X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq(A,A,B big_V C,X) = implies(implies(B,C),C)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(B,C),C) = ifeq2(A,A,B big_V C,X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq2(A,A,B big_V C,X) = implies(implies(B,C),C)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not(implies(truth,not(A) big_V not(B))) = A big_hat B
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not(not(A) big_V implies(truth,not(B))) = A big_hat B
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not(not(A) big_V implies(truth,not(B))) = A big_hat B
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 A big_hat B = not(not(A) big_V implies(truth,not(B)))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 A big_hat B = not(implies(truth,not(A) big_V not(B)))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 A big_hat B = not(not(A) big_V implies(truth,not(B)))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 A big_hat B = implies(truth,not(not(A) big_V not(B)))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(truth,not(not(A) big_V not(B))) = A big_hat B
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(truth,implies(implies(A,B),B)) = implies(implies(B,A),A)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(B,A),A) = implies(truth,implies(implies(A,B),B))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(B,A),A) = implies(implies(truth,implies(A,B)),B)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(truth,implies(A,B)),B) = implies(implies(B,A),A)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(B,A) big_V A = implies(implies(implies(A,B),B),A)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(implies(implies(A,B),B),A) = implies(B,A) big_V A
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not(not(B) big_V not(C)) = ifeq(A,A,B big_hat C,X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq(A,A,B big_hat C,X) = not(not(B) big_V not(C))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not(not(B) big_V not(C)) = ifeq2(A,A,B big_hat C,X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq2(A,A,B big_hat C,X) = not(not(B) big_V not(C))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 B big_V C = implies(ifeq(A,A,implies(B,C),X),C)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 B big_V C = ifeq(A,A,implies(implies(B,C),C),X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(ifeq(A,A,implies(B,C),X),C) = B big_V C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq(A,A,implies(implies(B,C),C),X) = B big_V C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 B big_V C = implies(ifeq2(A,A,implies(B,C),X),C)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 B big_V C = ifeq2(A,A,implies(implies(B,C),C),X)
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 implies(ifeq2(A,A,implies(B,C),X),C) = B big_V C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 ifeq2(A,A,implies(implies(B,C),C),X) = B big_V C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not((A big_hat B) big_V not(C)) = (not(A) big_V not(B)) big_hat C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 not((A big_hat B) big_V not(C)) = (not(A) big_V not(B)) big_hat C
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 6.77/6.96 (not(A) big_V not(B)) big_hat C = not((A big_hat B) big_V not(C))
% 6.77/6.96 is true and the solution is the identity
% 6.77/6.96 The current conjecture
% 7.08/7.26 (not(A) big_V not(B)) big_hat C = not((A big_hat B) big_V not(C))
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 not(implies(implies(not(A),not(B)),not(B))) = A big_hat B
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 not(implies(implies(not(A),not(B)),not(B))) = A big_hat B
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 A big_hat B = not(implies(implies(not(A),not(B)),not(B)))
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 A big_hat B = not(implies(implies(not(A),not(B)),not(B)))
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 implies(truth,true) = ifeq2(implies(A,B),truth,ordered(A,B),true)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 ifeq2(implies(A,B),truth,ordered(A,B),true) = implies(truth,true)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 ordered(x,y) = ifeq2(implies(A,B),truth,ordered(A,B),true)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 ifeq2(implies(A,B),truth,ordered(A,B),true) = ordered(x,y)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 implies(truth,truth) = ifeq(ordered(A,B),true,implies(A,B),truth)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 ifeq(ordered(A,B),true,implies(A,B),truth) = implies(truth,truth)
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26 The current conjecture
% 7.08/7.26 implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth
% 7.08/7.26 is true and the solution is the identity
% 7.08/7.26
% 7.08/7.26 New rule produced :
% 7.08/7.26 [354] (eq)(not(not(A) big_V ifeq(B,B,not(C),X)),A big_hat C) -> (true)
% 7.08/7.26 Current number of equations to process: 349
% 7.08/7.26 Current number of ordered equations: 0
% 7.08/7.26 Current number of rules: 354
% 7.08/7.26 New rule produced : [355] A <-> implies(truth,implies(truth big_V truth,A))
% 7.08/7.26 Current number of equations to process: 370
% 7.08/7.26 Current number of ordered equations: 3
% 7.08/7.26 Current number of rules: 355
% 7.08/7.26 New rule produced : [356] A <-> implies(truth big_V truth,implies(truth,A))
% 7.08/7.26 Current number of equations to process: 370
% 7.08/7.26 Current number of ordered equations: 2
% 7.08/7.26 Current number of rules: 356
% 7.08/7.26 New rule produced : [357] implies(truth,implies(truth big_V truth,A)) <-> A
% 7.08/7.26 Current number of equations to process: 370
% 7.08/7.26 Current number of ordered equations: 1
% 7.08/7.26 Current number of rules: 357
% 7.08/7.26 New rule produced : [358] implies(truth big_V truth,implies(truth,A)) <-> A
% 7.08/7.26 Current number of equations to process: 370
% 7.08/7.26 Current number of ordered equations: 0
% 7.08/7.26 Current number of rules: 358
% 7.08/7.26 New rule produced :
% 7.08/7.26 [359] truth <-> implies(implies(truth,A),implies(truth,A))
% 7.08/7.26 Current number of equations to process: 396
% 7.08/7.26 Current number of ordered equations: 3
% 7.08/7.26 Current number of rules: 359
% 7.08/7.26 New rule produced :
% 7.08/7.26 [360] truth <-> implies(implies(A,truth),implies(A,truth))
% 7.08/7.26 Current number of equations to process: 396
% 7.08/7.26 Current number of ordered equations: 2
% 7.08/7.26 Current number of rules: 360
% 7.08/7.26 New rule produced :
% 7.08/7.26 [361] implies(implies(truth,A),implies(truth,A)) <-> truth
% 7.08/7.26 Current number of equations to process: 396
% 7.08/7.26 Current number of ordered equations: 1
% 7.08/7.26 Current number of rules: 361
% 7.08/7.26 New rule produced :
% 7.08/7.26 [362] implies(implies(A,truth),implies(A,truth)) <-> truth
% 7.08/7.26 Current number of equations to process: 396
% 7.08/7.26 Current number of ordered equations: 0
% 7.08/7.26 Current number of rules: 362
% 7.08/7.26 New rule produced : [363] A <-> implies(implies(truth,truth big_V truth),A)
% 7.08/7.26 Current number of equations to process: 394
% 7.08/7.26 Current number of ordered equations: 3
% 7.08/7.26 Current number of rules: 363
% 7.08/7.26 New rule produced : [364] A <-> implies(implies(truth big_V truth,truth),A)
% 7.08/7.26 Current number of equations to process: 394
% 7.08/7.26 Current number of ordered equations: 2
% 7.08/7.26 Current number of rules: 364
% 7.08/7.26 New rule produced : [365] implies(implies(truth,truth big_V truth),A) <-> A
% 7.08/7.26 Current number of equations to process: 394
% 7.08/7.26 Current number of ordered equations: 1
% 7.08/7.26 Current number of rules: 365
% 7.08/7.26 New rule produced : [366] implies(implies(truth big_V truth,truth),A) <-> A
% 7.08/7.26 Current number of equations to process: 394
% 7.08/7.26 Current number of ordered equations: 0
% 7.08/7.26 Current number of rules: 366
% 7.08/7.26 New rule produced :
% 7.08/7.26 [367] ordered(x,y) <-> implies(truth,ordered(x,implies(truth,y)))
% 7.08/7.26 Current number of equations to process: 397
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 367
% 7.20/7.39 New rule produced :
% 7.20/7.39 [368] implies(truth,ordered(x,implies(truth,y))) <-> ordered(x,y)
% 7.20/7.39 Current number of equations to process: 397
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 368
% 7.20/7.39 New rule produced :
% 7.20/7.39 [369] ordered(x,y) <-> implies(truth,ordered(implies(truth,x),y))
% 7.20/7.39 Current number of equations to process: 396
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 369
% 7.20/7.39 New rule produced :
% 7.20/7.39 [370] implies(truth,ordered(implies(truth,x),y)) <-> ordered(x,y)
% 7.20/7.39 Current number of equations to process: 396
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 370
% 7.20/7.39 New rule produced :
% 7.20/7.39 [371] ordered(x,implies(truth,implies(truth,y))) <-> implies(truth,true)
% 7.20/7.39 Current number of equations to process: 394
% 7.20/7.39 Current number of ordered equations: 3
% 7.20/7.39 Current number of rules: 371
% 7.20/7.39 New rule produced :
% 7.20/7.39 [372] ordered(implies(truth,implies(truth,x)),y) <-> implies(truth,true)
% 7.20/7.39 Current number of equations to process: 394
% 7.20/7.39 Current number of ordered equations: 2
% 7.20/7.39 Current number of rules: 372
% 7.20/7.39 New rule produced :
% 7.20/7.39 [373] implies(truth,true) <-> ordered(x,implies(truth,implies(truth,y)))
% 7.20/7.39 Current number of equations to process: 394
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 373
% 7.20/7.39 New rule produced :
% 7.20/7.39 [374] implies(truth,true) <-> ordered(implies(truth,implies(truth,x)),y)
% 7.20/7.39 Current number of equations to process: 394
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 374
% 7.20/7.39 New rule produced :
% 7.20/7.39 [375] implies(truth,implies(truth,truth)) big_V A <-> implies(A,A)
% 7.20/7.39 Current number of equations to process: 392
% 7.20/7.39 Current number of ordered equations: 3
% 7.20/7.39 Current number of rules: 375
% 7.20/7.39 New rule produced :
% 7.20/7.39 [376] implies(A,A) <-> implies(truth,implies(truth,truth)) big_V A
% 7.20/7.39 Current number of equations to process: 392
% 7.20/7.39 Current number of ordered equations: 2
% 7.20/7.39 Current number of rules: 376
% 7.20/7.39 New rule produced :
% 7.20/7.39 [377] implies(A,A) <-> implies(truth,implies(truth,truth big_V A))
% 7.20/7.39 Current number of equations to process: 392
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 377
% 7.20/7.39 New rule produced :
% 7.20/7.39 [378] implies(truth,implies(truth,truth big_V A)) <-> implies(A,A)
% 7.20/7.39 Current number of equations to process: 392
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 378
% 7.20/7.39 New rule produced :
% 7.20/7.39 [379] truth big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 7.20/7.39 Current number of equations to process: 391
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 379
% 7.20/7.39 New rule produced :
% 7.20/7.39 [380] implies(truth,implies(truth,implies(A,A))) <-> truth big_V A
% 7.20/7.39 Current number of equations to process: 391
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 380
% 7.20/7.39 New rule produced :
% 7.20/7.39 [381] ordered(x,y) <-> implies(truth,implies(truth,implies(truth,true)))
% 7.20/7.39 Current number of equations to process: 389
% 7.20/7.39 Current number of ordered equations: 3
% 7.20/7.39 Current number of rules: 381
% 7.20/7.39 New rule produced :
% 7.20/7.39 [382] ordered(x,y) <-> implies(implies(truth,implies(truth,truth)),true)
% 7.20/7.39 Current number of equations to process: 389
% 7.20/7.39 Current number of ordered equations: 2
% 7.20/7.39 Current number of rules: 382
% 7.20/7.39 New rule produced :
% 7.20/7.39 [383] implies(truth,implies(truth,implies(truth,true))) <-> ordered(x,y)
% 7.20/7.39 Current number of equations to process: 389
% 7.20/7.39 Current number of ordered equations: 1
% 7.20/7.39 Current number of rules: 383
% 7.20/7.39 New rule produced :
% 7.20/7.39 [384] implies(implies(truth,implies(truth,truth)),true) <-> ordered(x,y)
% 7.20/7.39 Current number of equations to process: 389
% 7.20/7.39 Current number of ordered equations: 0
% 7.20/7.39 Current number of rules: 384
% 7.20/7.39 New rule produced :
% 7.20/7.39 [385] implies(truth,true) <-> implies(implies(truth,truth),ordered(x,y))
% 7.20/7.39 Current number of equations to process: 385
% 7.20/7.39 Current number of ordered equations: 5
% 7.20/7.39 Current number of rules: 385
% 7.20/7.39 New rule produced :
% 7.20/7.39 [386] implies(truth,true) <-> ordered(implies(implies(truth,truth),x),y)
% 7.20/7.39 Current number of equations to process: 385
% 7.20/7.39 Current number of ordered equations: 4
% 7.20/7.39 Current number of rules: 386
% 7.20/7.39 New rule produced :
% 7.20/7.39 [387] implies(implies(truth,truth),ordered(x,y)) <-> implies(truth,true)
% 7.20/7.39 Current number of equations to process: 385
% 7.20/7.39 Current number of ordered equations: 3
% 7.20/7.39 Current number of rules: 387
% 7.50/7.72 New rule produced :
% 7.50/7.72 [388] ordered(implies(implies(truth,truth),x),y) <-> implies(truth,true)
% 7.50/7.72 Current number of equations to process: 385
% 7.50/7.72 Current number of ordered equations: 2
% 7.50/7.72 Current number of rules: 388
% 7.50/7.72 New rule produced :
% 7.50/7.72 [389] implies(A,A) <-> implies(implies(truth,truth),truth big_V A)
% 7.50/7.72 Current number of equations to process: 383
% 7.50/7.72 Current number of ordered equations: 5
% 7.50/7.72 Current number of rules: 389
% 7.50/7.72 New rule produced :
% 7.50/7.72 [390] implies(A,A) <-> implies(implies(truth,truth),truth) big_V A
% 7.50/7.72 Current number of equations to process: 383
% 7.50/7.72 Current number of ordered equations: 4
% 7.50/7.72 Current number of rules: 390
% 7.50/7.72 New rule produced :
% 7.50/7.72 [391] implies(implies(truth,truth),truth big_V A) <-> implies(A,A)
% 7.50/7.72 Current number of equations to process: 383
% 7.50/7.72 Current number of ordered equations: 3
% 7.50/7.72 Current number of rules: 391
% 7.50/7.72 New rule produced :
% 7.50/7.72 [392] implies(implies(truth,truth),truth) big_V A <-> implies(A,A)
% 7.50/7.72 Current number of equations to process: 383
% 7.50/7.72 Current number of ordered equations: 2
% 7.50/7.72 Current number of rules: 392
% 7.50/7.72 New rule produced :
% 7.50/7.72 [393] truth big_V A <-> implies(implies(truth,truth),implies(A,A))
% 7.50/7.72 Current number of equations to process: 382
% 7.50/7.72 Current number of ordered equations: 3
% 7.50/7.72 Current number of rules: 393
% 7.50/7.72 New rule produced :
% 7.50/7.72 [394] implies(implies(truth,truth),implies(A,A)) <-> truth big_V A
% 7.50/7.72 Current number of equations to process: 382
% 7.50/7.72 Current number of ordered equations: 2
% 7.50/7.72 Current number of rules: 394
% 7.50/7.72 New rule produced :
% 7.50/7.72 [395] ordered(x,y) <-> implies(truth,implies(implies(truth,truth),true))
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 7
% 7.50/7.72 Current number of rules: 395
% 7.50/7.72 New rule produced :
% 7.50/7.72 [396] ordered(x,y) <-> implies(implies(truth,truth),implies(truth,true))
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 6
% 7.50/7.72 Current number of rules: 396
% 7.50/7.72 New rule produced :
% 7.50/7.72 [397] ordered(x,y) <-> implies(implies(implies(truth,truth),truth),true)
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 5
% 7.50/7.72 Current number of rules: 397
% 7.50/7.72 New rule produced :
% 7.50/7.72 [398] implies(truth,implies(implies(truth,truth),true)) <-> ordered(x,y)
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 4
% 7.50/7.72 Current number of rules: 398
% 7.50/7.72 New rule produced :
% 7.50/7.72 [399] implies(implies(truth,truth),implies(truth,true)) <-> ordered(x,y)
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 3
% 7.50/7.72 Current number of rules: 399
% 7.50/7.72 New rule produced :
% 7.50/7.72 [400] implies(implies(implies(truth,truth),truth),true) <-> ordered(x,y)
% 7.50/7.72 Current number of equations to process: 379
% 7.50/7.72 Current number of ordered equations: 2
% 7.50/7.72 Current number of rules: 400
% 7.50/7.72 New rule produced :
% 7.50/7.72 [401] ordered(x,implies(implies(truth,truth),y)) <-> implies(truth,true)
% 7.50/7.72 Current number of equations to process: 378
% 7.50/7.72 Current number of ordered equations: 3
% 7.50/7.72 Current number of rules: 401
% 7.50/7.72 New rule produced :
% 7.50/7.72 [402] ordered(implies(truth,x),implies(truth,y)) <-> implies(truth,true)
% 7.50/7.72 Current number of equations to process: 378
% 7.50/7.72 Current number of ordered equations: 2
% 7.50/7.72 Current number of rules: 402
% 7.50/7.72 New rule produced :
% 7.50/7.72 [403] implies(truth,true) <-> ordered(x,implies(implies(truth,truth),y))
% 7.50/7.72 Current number of equations to process: 378
% 7.50/7.72 Current number of ordered equations: 1
% 7.50/7.72 Current number of rules: 403
% 7.50/7.72 New rule produced :
% 7.50/7.72 [404] implies(truth,true) <-> ordered(implies(truth,x),implies(truth,y))
% 7.50/7.72 Current number of equations to process: 378
% 7.50/7.72 Current number of ordered equations: 0
% 7.50/7.72 Current number of rules: 404
% 7.50/7.72 New rule produced :
% 7.50/7.72 [405] ordered(x,implies(truth big_V truth,y)) <-> implies(truth,true)
% 7.50/7.72 Current number of equations to process: 401
% 7.50/7.72 Current number of ordered equations: 1
% 7.50/7.72 Current number of rules: 405
% 7.50/7.72 New rule produced :
% 7.50/7.72 [406] implies(truth,true) <-> ordered(x,implies(truth big_V truth,y))
% 7.50/7.72 Current number of equations to process: 401
% 7.50/7.72 Current number of ordered equations: 0
% 7.50/7.72 Current number of rules: 406
% 7.50/7.72 New rule produced :
% 7.50/7.72 [407] ordered(implies(truth big_V truth,x),y) <-> implies(truth,true)
% 7.50/7.72 Current number of equations to process: 424
% 7.50/7.72 Current number of ordered equations: 1
% 7.50/7.72 Current number of rules: 407
% 7.50/7.72 New rule produced :
% 7.97/8.17 [408] implies(truth,true) <-> ordered(implies(truth big_V truth,x),y)
% 7.97/8.17 Current number of equations to process: 424
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 408
% 7.97/8.17 New rule produced :
% 7.97/8.17 [409] true big_V truth <-> implies(ordered(x,implies(truth,y)),true)
% 7.97/8.17 Current number of equations to process: 423
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 409
% 7.97/8.17 New rule produced :
% 7.97/8.17 [410] implies(ordered(x,implies(truth,y)),true) <-> true big_V truth
% 7.97/8.17 Current number of equations to process: 423
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 410
% 7.97/8.17 New rule produced :
% 7.97/8.17 [411] ordered(x,implies(truth,y)) <-> implies(truth big_V truth,true)
% 7.97/8.17 Current number of equations to process: 443
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 411
% 7.97/8.17 New rule produced :
% 7.97/8.17 [412] implies(truth big_V truth,true) <-> ordered(x,implies(truth,y))
% 7.97/8.17 Current number of equations to process: 443
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 412
% 7.97/8.17 New rule produced :
% 7.97/8.17 [413] true big_V truth <-> implies(ordered(implies(truth,x),y),true)
% 7.97/8.17 Current number of equations to process: 448
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 413
% 7.97/8.17 New rule produced :
% 7.97/8.17 [414] implies(ordered(implies(truth,x),y),true) <-> true big_V truth
% 7.97/8.17 Current number of equations to process: 448
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 414
% 7.97/8.17 New rule produced :
% 7.97/8.17 [415] ordered(implies(truth,x),y) <-> implies(truth big_V truth,true)
% 7.97/8.17 Current number of equations to process: 470
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 415
% 7.97/8.17 New rule produced :
% 7.97/8.17 [416] implies(truth big_V truth,true) <-> ordered(implies(truth,x),y)
% 7.97/8.17 Current number of equations to process: 470
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 416
% 7.97/8.17 New rule produced :
% 7.97/8.17 [417] implies(A,A) <-> implies(truth,implies(truth,truth) big_V A)
% 7.97/8.17 Current number of equations to process: 473
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 417
% 7.97/8.17 New rule produced :
% 7.97/8.17 [418] implies(truth,implies(truth,truth) big_V A) <-> implies(A,A)
% 7.97/8.17 Current number of equations to process: 473
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 418
% 7.97/8.17 New rule produced :
% 7.97/8.17 [419] implies(truth,truth) big_V A <-> implies(truth,implies(A,A))
% 7.97/8.17 Current number of equations to process: 487
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 419
% 7.97/8.17 New rule produced :
% 7.97/8.17 [420] implies(truth,implies(A,A)) <-> implies(truth,truth) big_V A
% 7.97/8.17 Current number of equations to process: 487
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 420
% 7.97/8.17 New rule produced :
% 7.97/8.17 [421] implies(A,A) <-> implies(truth,truth big_V truth) big_V A
% 7.97/8.17 Current number of equations to process: 489
% 7.97/8.17 Current number of ordered equations: 3
% 7.97/8.17 Current number of rules: 421
% 7.97/8.17 New rule produced :
% 7.97/8.17 [422] implies(A,A) <-> implies(truth big_V truth,truth) big_V A
% 7.97/8.17 Current number of equations to process: 489
% 7.97/8.17 Current number of ordered equations: 2
% 7.97/8.17 Current number of rules: 422
% 7.97/8.17 New rule produced :
% 7.97/8.17 [423] implies(truth,truth big_V truth) big_V A <-> implies(A,A)
% 7.97/8.17 Current number of equations to process: 489
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 423
% 7.97/8.17 New rule produced :
% 7.97/8.17 [424] implies(truth big_V truth,truth) big_V A <-> implies(A,A)
% 7.97/8.17 Current number of equations to process: 489
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 424
% 7.97/8.17 New rule produced :
% 7.97/8.17 [425] A big_V A <-> implies(implies(truth,truth) big_V A,A)
% 7.97/8.17 Current number of equations to process: 488
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 425
% 7.97/8.17 New rule produced :
% 7.97/8.17 [426] implies(implies(truth,truth) big_V A,A) <-> A big_V A
% 7.97/8.17 Current number of equations to process: 488
% 7.97/8.17 Current number of ordered equations: 0
% 7.97/8.17 Current number of rules: 426
% 7.97/8.17 New rule produced :
% 7.97/8.17 [427] truth <-> implies(truth,truth big_V implies(truth,truth))
% 7.97/8.17 Current number of equations to process: 501
% 7.97/8.17 Current number of ordered equations: 1
% 7.97/8.17 Current number of rules: 427
% 7.97/8.17 New rule produced :
% 7.97/8.17 [428] implies(truth,truth big_V implies(truth,truth)) <-> truth
% 7.97/8.17 Current number of equations to process: 501
% 7.97/8.17 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 428
% 8.36/8.56 New rule produced : [429] A <-> implies(truth big_V implies(truth,truth),A)
% 8.36/8.56 Current number of equations to process: 500
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 429
% 8.36/8.56 New rule produced : [430] implies(truth big_V implies(truth,truth),A) <-> A
% 8.36/8.56 Current number of equations to process: 500
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 430
% 8.36/8.56 New rule produced :
% 8.36/8.56 [431]
% 8.36/8.56 implies(truth,truth) big_V implies(truth,truth) <-> implies(truth,truth)
% 8.36/8.56 Current number of equations to process: 503
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 431
% 8.36/8.56 New rule produced :
% 8.36/8.56 [432]
% 8.36/8.56 implies(truth,truth) <-> implies(truth,truth) big_V implies(truth,truth)
% 8.36/8.56 Current number of equations to process: 503
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 432
% 8.36/8.56 New rule produced :
% 8.36/8.56 [433] implies(A,A) <-> (truth big_V implies(truth,truth)) big_V A
% 8.36/8.56 Current number of equations to process: 502
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 433
% 8.36/8.56 New rule produced :
% 8.36/8.56 [434] (truth big_V implies(truth,truth)) big_V A <-> implies(A,A)
% 8.36/8.56 Current number of equations to process: 502
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 434
% 8.36/8.56 New rule produced :
% 8.36/8.56 [435] A big_V A <-> implies(implies(truth,truth big_V A),A)
% 8.36/8.56 Current number of equations to process: 501
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 435
% 8.36/8.56 New rule produced :
% 8.36/8.56 [436] implies(implies(truth,truth big_V A),A) <-> A big_V A
% 8.36/8.56 Current number of equations to process: 501
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 436
% 8.36/8.56 New rule produced :
% 8.36/8.56 [437] implies(truth,truth) big_V A <-> implies(truth,truth big_V A)
% 8.36/8.56 Current number of equations to process: 519
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 437
% 8.36/8.56 New rule produced :
% 8.36/8.56 [438] implies(truth,truth big_V A) <-> implies(truth,truth) big_V A
% 8.36/8.56 Current number of equations to process: 519
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 438
% 8.36/8.56 New rule produced :
% 8.36/8.56 [439] implies(A,A) <-> implies(truth,implies(implies(truth,A),A))
% 8.36/8.56 Current number of equations to process: 524
% 8.36/8.56 Current number of ordered equations: 3
% 8.36/8.56 Current number of rules: 439
% 8.36/8.56 New rule produced :
% 8.36/8.56 [440] implies(A,A) <-> implies(truth,implies(implies(A,truth),truth))
% 8.36/8.56 Current number of equations to process: 524
% 8.36/8.56 Current number of ordered equations: 2
% 8.36/8.56 Current number of rules: 440
% 8.36/8.56 New rule produced :
% 8.36/8.56 [441] implies(truth,implies(implies(truth,A),A)) <-> implies(A,A)
% 8.36/8.56 Current number of equations to process: 524
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 441
% 8.36/8.56 New rule produced :
% 8.36/8.56 [442] implies(truth,implies(implies(A,truth),truth)) <-> implies(A,A)
% 8.36/8.56 Current number of equations to process: 524
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 442
% 8.36/8.56 New rule produced :
% 8.36/8.56 [443] implies(truth,implies(A,A)) <-> implies(implies(truth,A),A)
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 3
% 8.36/8.56 Current number of rules: 443
% 8.36/8.56 New rule produced :
% 8.36/8.56 [444] implies(truth,implies(A,A)) <-> implies(implies(A,truth),truth)
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 2
% 8.36/8.56 Current number of rules: 444
% 8.36/8.56 New rule produced :
% 8.36/8.56 [445] implies(implies(truth,A),A) <-> implies(truth,implies(A,A))
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 1
% 8.36/8.56 Current number of rules: 445
% 8.36/8.56 New rule produced :
% 8.36/8.56 [446] implies(implies(A,truth),truth) <-> implies(truth,implies(A,A))
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 0
% 8.36/8.56 Current number of rules: 446
% 8.36/8.56 New rule produced :
% 8.36/8.56 [447] implies(A,A) <-> implies(truth,(truth big_V truth) big_V A)
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 3
% 8.36/8.56 Current number of rules: 447
% 8.36/8.56 New rule produced :
% 8.36/8.56 [448] implies(A,A) <-> implies(truth big_V truth,truth big_V A)
% 8.36/8.56 Current number of equations to process: 543
% 8.36/8.56 Current number of ordered equations: 2
% 8.36/8.56 Current number of rules: 448
% 8.36/8.56 New rule produced :
% 8.36/8.56 [449] implies(truth,(truth big_V truth) big_V A) <-> implies(A,A)
% 9.07/9.35 Current number of equations to process: 543
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 449
% 9.07/9.35 New rule produced :
% 9.07/9.35 [450] implies(truth big_V truth,truth big_V A) <-> implies(A,A)
% 9.07/9.35 Current number of equations to process: 543
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 450
% 9.07/9.35 New rule produced :
% 9.07/9.35 [451] implies(truth,implies(A,A)) <-> (truth big_V truth) big_V A
% 9.07/9.35 Current number of equations to process: 555
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 451
% 9.07/9.35 New rule produced :
% 9.07/9.35 [452] (truth big_V truth) big_V A <-> implies(truth,implies(A,A))
% 9.07/9.35 Current number of equations to process: 555
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 452
% 9.07/9.35 New rule produced : [453] (eq)(truth,truth big_V truth) -> (true)
% 9.07/9.35 Current number of equations to process: 566
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 453
% 9.07/9.35 New rule produced :
% 9.07/9.35 [454] truth big_V A <-> implies(truth big_V truth,implies(A,A))
% 9.07/9.35 Current number of equations to process: 579
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 454
% 9.07/9.35 New rule produced :
% 9.07/9.35 [455] implies(truth big_V truth,implies(A,A)) <-> truth big_V A
% 9.07/9.35 Current number of equations to process: 579
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 455
% 9.07/9.35 New rule produced :
% 9.07/9.35 [456] truth big_V A <-> implies(truth,implies(truth,truth) big_V A)
% 9.07/9.35 Current number of equations to process: 578
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 456
% 9.07/9.35 New rule produced :
% 9.07/9.35 [457] implies(truth,implies(truth,truth) big_V A) <-> truth big_V A
% 9.07/9.35 Current number of equations to process: 578
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 457
% 9.07/9.35 New rule produced : [458] (eq)(true,ordered(x,y)) -> (true)
% 9.07/9.35 Current number of equations to process: 626
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 458
% 9.07/9.35 New rule produced :
% 9.07/9.35 [459] true big_V implies(truth,truth) <-> implies(ordered(x,y),true)
% 9.07/9.35 Current number of equations to process: 645
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 459
% 9.07/9.35 New rule produced :
% 9.07/9.35 [460] implies(ordered(x,y),true) <-> true big_V implies(truth,truth)
% 9.07/9.35 Current number of equations to process: 645
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 460
% 9.07/9.35 New rule produced :
% 9.07/9.35 [461] ordered(x,y) <-> implies(truth,implies(truth big_V truth,true))
% 9.07/9.35 Current number of equations to process: 651
% 9.07/9.35 Current number of ordered equations: 3
% 9.07/9.35 Current number of rules: 461
% 9.07/9.35 New rule produced :
% 9.07/9.35 [462] ordered(x,y) <-> implies(truth big_V truth,implies(truth,true))
% 9.07/9.35 Current number of equations to process: 651
% 9.07/9.35 Current number of ordered equations: 2
% 9.07/9.35 Current number of rules: 462
% 9.07/9.35 New rule produced :
% 9.07/9.35 [463] implies(truth,implies(truth big_V truth,true)) <-> ordered(x,y)
% 9.07/9.35 Current number of equations to process: 651
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 463
% 9.07/9.35 New rule produced :
% 9.07/9.35 [464] implies(truth big_V truth,implies(truth,true)) <-> ordered(x,y)
% 9.07/9.35 Current number of equations to process: 651
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 464
% 9.07/9.35 New rule produced :
% 9.07/9.35 [465] ordered(x,y) <-> implies(implies(truth,truth big_V truth),true)
% 9.07/9.35 Current number of equations to process: 670
% 9.07/9.35 Current number of ordered equations: 3
% 9.07/9.35 Current number of rules: 465
% 9.07/9.35 New rule produced :
% 9.07/9.35 [466] ordered(x,y) <-> implies(implies(truth big_V truth,truth),true)
% 9.07/9.35 Current number of equations to process: 670
% 9.07/9.35 Current number of ordered equations: 2
% 9.07/9.35 Current number of rules: 466
% 9.07/9.35 New rule produced :
% 9.07/9.35 [467] implies(implies(truth,truth big_V truth),true) <-> ordered(x,y)
% 9.07/9.35 Current number of equations to process: 670
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 467
% 9.07/9.35 New rule produced :
% 9.07/9.35 [468] implies(implies(truth big_V truth,truth),true) <-> ordered(x,y)
% 9.07/9.35 Current number of equations to process: 670
% 9.07/9.35 Current number of ordered equations: 0
% 9.07/9.35 Current number of rules: 468
% 9.07/9.35 New rule produced :
% 9.07/9.35 [469] ordered(x,y) <-> implies(truth big_V implies(truth,truth),true)
% 9.07/9.35 Current number of equations to process: 669
% 9.07/9.35 Current number of ordered equations: 1
% 9.07/9.35 Current number of rules: 469
% 9.07/9.35 New rule produced :
% 9.66/9.94 [470] implies(truth big_V implies(truth,truth),true) <-> ordered(x,y)
% 9.66/9.94 Current number of equations to process: 669
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 470
% 9.66/9.94 New rule produced : [471] truth big_V B <-> implies(ifeq(A,A,B,C),B)
% 9.66/9.94 Current number of equations to process: 679
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 471
% 9.66/9.94 New rule produced : [472] implies(ifeq(A,A,B,C),B) <-> truth big_V B
% 9.66/9.94 Current number of equations to process: 679
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 472
% 9.66/9.94 New rule produced : [473] ifeq(B,B,A,C) <-> implies(truth big_V truth,A)
% 9.66/9.94 Current number of equations to process: 698
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 473
% 9.66/9.94 New rule produced : [474] implies(truth big_V truth,A) <-> ifeq(B,B,A,C)
% 9.66/9.94 Current number of equations to process: 698
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 474
% 9.66/9.94 New rule produced :
% 9.66/9.94 [475] truth big_V implies(truth,truth) <-> ifeq(A,A,truth,B)
% 9.66/9.94 Current number of equations to process: 697
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 475
% 9.66/9.94 New rule produced :
% 9.66/9.94 [476] ifeq(A,A,truth,B) <-> truth big_V implies(truth,truth)
% 9.66/9.94 Current number of equations to process: 697
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 476
% 9.66/9.94 New rule produced :
% 9.66/9.94 [477] implies(truth,truth big_V truth) <-> ifeq(A,A,truth,B)
% 9.66/9.94 Current number of equations to process: 696
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 477
% 9.66/9.94 New rule produced :
% 9.66/9.94 [478] ifeq(A,A,truth,B) <-> implies(truth,truth big_V truth)
% 9.66/9.94 Current number of equations to process: 696
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 478
% 9.66/9.94 New rule produced :
% 9.66/9.94 [479] truth big_V truth <-> implies(truth,ifeq(A,A,truth,B))
% 9.66/9.94 Current number of equations to process: 697
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 479
% 9.66/9.94 New rule produced :
% 9.66/9.94 [480] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V truth
% 9.66/9.94 Current number of equations to process: 697
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 480
% 9.66/9.94 New rule produced : [481] truth big_V B <-> implies(ifeq2(A,A,B,C),B)
% 9.66/9.94 Current number of equations to process: 726
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 481
% 9.66/9.94 New rule produced : [482] implies(ifeq2(A,A,B,C),B) <-> truth big_V B
% 9.66/9.94 Current number of equations to process: 726
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 482
% 9.66/9.94 New rule produced : [483] ifeq2(B,B,A,C) <-> implies(truth big_V truth,A)
% 9.66/9.94 Current number of equations to process: 745
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 483
% 9.66/9.94 New rule produced : [484] implies(truth big_V truth,A) <-> ifeq2(B,B,A,C)
% 9.66/9.94 Current number of equations to process: 745
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 484
% 9.66/9.94 New rule produced :
% 9.66/9.94 [485] truth big_V implies(truth,truth) <-> ifeq2(A,A,truth,B)
% 9.66/9.94 Current number of equations to process: 744
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 485
% 9.66/9.94 New rule produced :
% 9.66/9.94 [486] ifeq2(A,A,truth,B) <-> truth big_V implies(truth,truth)
% 9.66/9.94 Current number of equations to process: 744
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 486
% 9.66/9.94 New rule produced :
% 9.66/9.94 [487] implies(truth,truth big_V truth) <-> ifeq2(A,A,truth,B)
% 9.66/9.94 Current number of equations to process: 743
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 487
% 9.66/9.94 New rule produced :
% 9.66/9.94 [488] ifeq2(A,A,truth,B) <-> implies(truth,truth big_V truth)
% 9.66/9.94 Current number of equations to process: 743
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 488
% 9.66/9.94 New rule produced :
% 9.66/9.94 [489] truth big_V truth <-> implies(truth,ifeq2(A,A,truth,B))
% 9.66/9.94 Current number of equations to process: 744
% 9.66/9.94 Current number of ordered equations: 1
% 9.66/9.94 Current number of rules: 489
% 9.66/9.94 New rule produced :
% 9.66/9.94 [490] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V truth
% 9.66/9.94 Current number of equations to process: 744
% 9.66/9.94 Current number of ordered equations: 0
% 9.66/9.94 Current number of rules: 490
% 9.66/9.94 New rule produced :
% 9.66/9.94 [491] A big_V A <-> implies(implies(implies(A,truth),truth),A)
% 9.66/9.94 Current number of equations to process: 766
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 491
% 10.18/10.36 New rule produced :
% 10.18/10.36 [492] implies(implies(implies(A,truth),truth),A) <-> A big_V A
% 10.18/10.36 Current number of equations to process: 766
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 492
% 10.18/10.36 New rule produced :
% 10.18/10.36 [493] implies(truth,truth) big_V A <-> implies(implies(A,truth),truth)
% 10.18/10.36 Current number of equations to process: 790
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 493
% 10.18/10.36 New rule produced :
% 10.18/10.36 [494] implies(implies(A,truth),truth) <-> implies(truth,truth) big_V A
% 10.18/10.36 Current number of equations to process: 790
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 494
% 10.18/10.36 New rule produced :
% 10.18/10.36 [495] implies(truth,truth big_V A) <-> implies(implies(A,truth),truth)
% 10.18/10.36 Current number of equations to process: 789
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 495
% 10.18/10.36 New rule produced :
% 10.18/10.36 [496] implies(implies(A,truth),truth) <-> implies(truth,truth big_V A)
% 10.18/10.36 Current number of equations to process: 789
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 496
% 10.18/10.36 New rule produced :
% 10.18/10.36 [497] truth big_V implies(A,truth) <-> implies(implies(A,A),truth)
% 10.18/10.36 Current number of equations to process: 788
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 497
% 10.18/10.36 New rule produced :
% 10.18/10.36 [498] implies(implies(A,A),truth) <-> truth big_V implies(A,truth)
% 10.18/10.36 Current number of equations to process: 788
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 498
% 10.18/10.36 New rule produced :
% 10.18/10.36 [499] truth big_V A <-> implies(truth,implies(implies(A,truth),truth))
% 10.18/10.36 Current number of equations to process: 794
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 499
% 10.18/10.36 New rule produced :
% 10.18/10.36 [500] implies(truth,implies(implies(A,truth),truth)) <-> truth big_V A
% 10.18/10.36 Current number of equations to process: 794
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 500
% 10.18/10.36 New rule produced :
% 10.18/10.36 [501] implies(A,A) <-> implies(implies(A,truth),implies(truth,truth))
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 5
% 10.18/10.36 Current number of rules: 501
% 10.18/10.36 New rule produced :
% 10.18/10.36 [502] implies(A,A) <-> implies(implies(truth,implies(A,truth)),truth)
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 4
% 10.18/10.36 Current number of rules: 502
% 10.18/10.36 New rule produced :
% 10.18/10.36 [503] implies(A,A) <-> implies(implies(A,implies(truth,truth)),truth)
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 3
% 10.18/10.36 Current number of rules: 503
% 10.18/10.36 New rule produced :
% 10.18/10.36 [504] implies(implies(A,truth),implies(truth,truth)) <-> implies(A,A)
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 2
% 10.18/10.36 Current number of rules: 504
% 10.18/10.36 New rule produced :
% 10.18/10.36 [505] implies(implies(truth,implies(A,truth)),truth) <-> implies(A,A)
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 505
% 10.18/10.36 New rule produced :
% 10.18/10.36 [506] implies(implies(A,implies(truth,truth)),truth) <-> implies(A,A)
% 10.18/10.36 Current number of equations to process: 791
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 506
% 10.18/10.36 New rule produced :
% 10.18/10.36 [507] implies(truth,A big_V A) <-> implies(truth big_V A,A)
% 10.18/10.36 Current number of equations to process: 809
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 507
% 10.18/10.36 New rule produced :
% 10.18/10.36 [508] implies(truth big_V A,A) <-> implies(truth,A big_V A)
% 10.18/10.36 Current number of equations to process: 809
% 10.18/10.36 Current number of ordered equations: 0
% 10.18/10.36 Current number of rules: 508
% 10.18/10.36 New rule produced :
% 10.18/10.36 [509] implies(implies(A,truth big_V truth),truth) <-> implies(A,A)
% 10.18/10.36 Current number of equations to process: 807
% 10.18/10.36 Current number of ordered equations: 3
% 10.18/10.36 Current number of rules: 509
% 10.18/10.36 New rule produced :
% 10.18/10.36 [510] implies(A,A) <-> implies(implies(A,truth big_V truth),truth)
% 10.18/10.36 Current number of equations to process: 807
% 10.18/10.36 Current number of ordered equations: 2
% 10.18/10.36 Current number of rules: 510
% 10.18/10.36 New rule produced :
% 10.18/10.36 [511] implies(A,A) <-> implies(implies(A,truth),truth big_V truth)
% 10.18/10.36 Current number of equations to process: 807
% 10.18/10.36 Current number of ordered equations: 1
% 10.18/10.36 Current number of rules: 511
% 10.18/10.36 New rule produced :
% 10.62/10.84 [512] implies(implies(A,truth),truth big_V truth) <-> implies(A,A)
% 10.62/10.84 Current number of equations to process: 807
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 512
% 10.62/10.84 New rule produced : [513] (truth big_V A) big_V A <-> implies(A big_V A,A)
% 10.62/10.84 Current number of equations to process: 818
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 513
% 10.62/10.84 New rule produced : [514] implies(A big_V A,A) <-> (truth big_V A) big_V A
% 10.62/10.84 Current number of equations to process: 818
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 514
% 10.62/10.84 New rule produced :
% 10.62/10.84 [515] A big_V A <-> implies(truth,implies(truth big_V A,A))
% 10.62/10.84 Current number of equations to process: 822
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 515
% 10.62/10.84 New rule produced :
% 10.62/10.84 [516] implies(truth,implies(truth big_V A,A)) <-> A big_V A
% 10.62/10.84 Current number of equations to process: 822
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 516
% 10.62/10.84 New rule produced :
% 10.62/10.84 [517] A big_V A <-> implies(implies(implies(truth,A),A),A)
% 10.62/10.84 Current number of equations to process: 821
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 517
% 10.62/10.84 New rule produced :
% 10.62/10.84 [518] implies(implies(implies(truth,A),A),A) <-> A big_V A
% 10.62/10.84 Current number of equations to process: 821
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 518
% 10.62/10.84 New rule produced :
% 10.62/10.84 [519] truth big_V implies(truth,true) <-> implies(ordered(x,y),true)
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 3
% 10.62/10.84 Current number of rules: 519
% 10.62/10.84 New rule produced :
% 10.62/10.84 [520] implies(truth,true big_V truth) <-> implies(ordered(x,y),true)
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 2
% 10.62/10.84 Current number of rules: 520
% 10.62/10.84 New rule produced :
% 10.62/10.84 [521] implies(ordered(x,y),true) <-> truth big_V implies(truth,true)
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 521
% 10.62/10.84 New rule produced :
% 10.62/10.84 [522] implies(ordered(x,y),true) <-> implies(truth,true big_V truth)
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 522
% 10.62/10.84 New rule produced :
% 10.62/10.84 [523] truth big_V ordered(x,y) <-> implies(ordered(x,y),true)
% 10.62/10.84 Current number of equations to process: 839
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 523
% 10.62/10.84 New rule produced :
% 10.62/10.84 [524] implies(ordered(x,y),true) <-> truth big_V ordered(x,y)
% 10.62/10.84 Current number of equations to process: 839
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 524
% 10.62/10.84 New rule produced :
% 10.62/10.84 [525] implies((truth big_V truth) big_V A,A) <-> A big_V A
% 10.62/10.84 Current number of equations to process: 841
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 525
% 10.62/10.84 New rule produced :
% 10.62/10.84 [526] A big_V A <-> implies((truth big_V truth) big_V A,A)
% 10.62/10.84 Current number of equations to process: 841
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 526
% 10.62/10.84 New rule produced :
% 10.62/10.84 [527] truth big_V truth <-> implies(implies(truth big_V truth,truth),truth)
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 527
% 10.62/10.84 New rule produced :
% 10.62/10.84 [528] implies(implies(truth big_V truth,truth),truth) <-> truth big_V truth
% 10.62/10.84 Current number of equations to process: 840
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 528
% 10.62/10.84 New rule produced :
% 10.62/10.84 [529] true big_V (truth big_V truth) <-> implies(ordered(x,y),true)
% 10.62/10.84 Current number of equations to process: 869
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 529
% 10.62/10.84 New rule produced :
% 10.62/10.84 [530] implies(ordered(x,y),true) <-> true big_V (truth big_V truth)
% 10.62/10.84 Current number of equations to process: 869
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 530
% 10.62/10.84 New rule produced :
% 10.62/10.84 [531] implies(truth,implies(true,true)) <-> implies(ordered(x,y),true)
% 10.62/10.84 Current number of equations to process: 868
% 10.62/10.84 Current number of ordered equations: 1
% 10.62/10.84 Current number of rules: 531
% 10.62/10.84 New rule produced :
% 10.62/10.84 [532] implies(ordered(x,y),true) <-> implies(truth,implies(true,true))
% 10.62/10.84 Current number of equations to process: 868
% 10.62/10.84 Current number of ordered equations: 0
% 10.62/10.84 Current number of rules: 532
% 10.98/11.14 New rule produced :
% 10.98/11.14 [533] true big_V ordered(x,y) <-> implies(true big_V truth,true)
% 10.98/11.14 Current number of equations to process: 867
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 533
% 10.98/11.14 New rule produced :
% 10.98/11.14 [534] implies(true big_V truth,true) <-> true big_V ordered(x,y)
% 10.98/11.14 Current number of equations to process: 867
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 534
% 10.98/11.14 New rule produced :
% 10.98/11.14 [535] implies(truth,implies(ordered(x,y),true)) <-> implies(true,true)
% 10.98/11.14 Current number of equations to process: 870
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 535
% 10.98/11.14 New rule produced :
% 10.98/11.14 [536] implies(true,true) <-> implies(truth,implies(ordered(x,y),true))
% 10.98/11.14 Current number of equations to process: 870
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 536
% 10.98/11.14 New rule produced :
% 10.98/11.14 [537] true big_V true <-> implies(implies(ordered(x,y),true),true)
% 10.98/11.14 Current number of equations to process: 869
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 537
% 10.98/11.14 New rule produced :
% 10.98/11.14 [538] implies(implies(ordered(x,y),true),true) <-> true big_V true
% 10.98/11.14 Current number of equations to process: 869
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 538
% 10.98/11.14 New rule produced :
% 10.98/11.14 [539] true big_V truth <-> implies(truth,implies(ordered(x,y),true))
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 5
% 10.98/11.14 Current number of rules: 539
% 10.98/11.14 New rule produced :
% 10.98/11.14 [540] true big_V truth <-> implies(ordered(x,y),implies(truth,true))
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 4
% 10.98/11.14 Current number of rules: 540
% 10.98/11.14 New rule produced :
% 10.98/11.14 [541] true big_V truth <-> implies(implies(truth,ordered(x,y)),true)
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 3
% 10.98/11.14 Current number of rules: 541
% 10.98/11.14 New rule produced :
% 10.98/11.14 [542] implies(truth,implies(ordered(x,y),true)) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 2
% 10.98/11.14 Current number of rules: 542
% 10.98/11.14 New rule produced :
% 10.98/11.14 [543] implies(ordered(x,y),implies(truth,true)) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 543
% 10.98/11.14 New rule produced :
% 10.98/11.14 [544] implies(implies(truth,ordered(x,y)),true) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 866
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 544
% 10.98/11.14 New rule produced :
% 10.98/11.14 [545] true big_V truth <-> implies(ordered(x,y),ordered(x,y))
% 10.98/11.14 Current number of equations to process: 865
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 545
% 10.98/11.14 New rule produced :
% 10.98/11.14 [546] implies(ordered(x,y),ordered(x,y)) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 865
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 546
% 10.98/11.14 New rule produced :
% 10.98/11.14 [547] implies(truth,A big_V B) <-> implies(implies(B,A),A)
% 10.98/11.14 Rule [495] implies(truth,truth big_V A) <-> implies(implies(A,truth),truth)
% 10.98/11.14 collapsed.
% 10.98/11.14 Current number of equations to process: 885
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 546
% 10.98/11.14 New rule produced :
% 10.98/11.14 [548] implies(implies(B,A),A) <-> implies(truth,A big_V B)
% 10.98/11.14 Rule [496] implies(implies(A,truth),truth) <-> implies(truth,truth big_V A)
% 10.98/11.14 collapsed.
% 10.98/11.14 Current number of equations to process: 885
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 546
% 10.98/11.14 New rule produced :
% 10.98/11.14 [549] true big_V truth <-> implies(implies(truth,implies(truth,true)),true)
% 10.98/11.14 Current number of equations to process: 884
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 547
% 10.98/11.14 New rule produced :
% 10.98/11.14 [550] implies(implies(truth,implies(truth,true)),true) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 884
% 10.98/11.14 Current number of ordered equations: 0
% 10.98/11.14 Current number of rules: 548
% 10.98/11.14 New rule produced :
% 10.98/11.14 [551] true big_V truth <-> implies(implies(implies(truth,truth),true),true)
% 10.98/11.14 Current number of equations to process: 883
% 10.98/11.14 Current number of ordered equations: 1
% 10.98/11.14 Current number of rules: 549
% 10.98/11.14 New rule produced :
% 10.98/11.14 [552] implies(implies(implies(truth,truth),true),true) <-> true big_V truth
% 10.98/11.14 Current number of equations to process: 883
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 550
% 20.70/20.86 New rule produced :
% 20.70/20.86 [553] ordered(implies(x,z),implies(y,z)) <-> implies(truth,true)
% 20.70/20.86 Current number of equations to process: 910
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 551
% 20.70/20.86 New rule produced :
% 20.70/20.86 [554] implies(truth,true) <-> ordered(implies(x,z),implies(y,z))
% 20.70/20.86 Current number of equations to process: 910
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 552
% 20.70/20.86 New rule produced : [555] ordered(x,y) <-> ordered(implies(x,z),implies(y,z))
% 20.70/20.86 Current number of equations to process: 909
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 553
% 20.70/20.86 New rule produced : [556] ordered(implies(x,z),implies(y,z)) <-> ordered(x,y)
% 20.70/20.86 Current number of equations to process: 909
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 554
% 20.70/20.86 New rule produced :
% 20.70/20.86 [557] implies(truth,A) big_V A <-> implies(implies(A,A),A)
% 20.70/20.86 Current number of equations to process: 2918
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 555
% 20.70/20.86 New rule produced :
% 20.70/20.86 [558] implies(implies(A,A),A) <-> implies(truth,A) big_V A
% 20.70/20.86 Current number of equations to process: 2918
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 556
% 20.70/20.86 New rule produced :
% 20.70/20.86 [559] ifeq(true,true,implies(x,y),truth) <-> implies(truth,truth)
% 20.70/20.86 Current number of equations to process: 3130
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 557
% 20.70/20.86 New rule produced :
% 20.70/20.86 [560] implies(truth,truth) <-> ifeq(true,true,implies(x,y),truth)
% 20.70/20.86 Current number of equations to process: 3130
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 558
% 20.70/20.86 New rule produced : [561] truth <-> implies(x,y)
% 20.70/20.86 Current number of equations to process: 3200
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 559
% 20.70/20.86 New rule produced : [562] implies(x,y) <-> truth
% 20.70/20.86 Current number of equations to process: 3200
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 560
% 20.70/20.86 New rule produced :
% 20.70/20.86 [563] ifeq(true,true,implies(x,y),truth) <-> truth big_V truth
% 20.70/20.86 Current number of equations to process: 3203
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 561
% 20.70/20.86 New rule produced :
% 20.70/20.86 [564] truth big_V truth <-> ifeq(true,true,implies(x,y),truth)
% 20.70/20.86 Current number of equations to process: 3203
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 562
% 20.70/20.86 New rule produced : [565] truth <-> implies(truth,implies(x,y))
% 20.70/20.86 Current number of equations to process: 3225
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 563
% 20.70/20.86 New rule produced : [566] implies(truth,implies(x,y)) <-> truth
% 20.70/20.86 Current number of equations to process: 3225
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 564
% 20.70/20.86 New rule produced : [567] implies(truth,truth) <-> implies(x,y)
% 20.70/20.86 Current number of equations to process: 3276
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 565
% 20.70/20.86 New rule produced : [568] implies(x,y) <-> implies(truth,truth)
% 20.70/20.86 Current number of equations to process: 3276
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 566
% 20.70/20.86 New rule produced : [569] truth <-> ifeq(A,A,implies(x,y),B)
% 20.70/20.86 Rule [106] truth <-> ifeq(true,true,implies(x,y),truth) collapsed.
% 20.70/20.86 Current number of equations to process: 3290
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 566
% 20.70/20.86 New rule produced : [570] ifeq(A,A,implies(x,y),B) <-> truth
% 20.70/20.86 Rule [107] ifeq(true,true,implies(x,y),truth) <-> truth collapsed.
% 20.70/20.86 Current number of equations to process: 3290
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 566
% 20.70/20.86 New rule produced : [571] truth <-> ifeq2(A,A,implies(x,y),B)
% 20.70/20.86 Current number of equations to process: 3289
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 567
% 20.70/20.86 New rule produced : [572] ifeq2(A,A,implies(x,y),B) <-> truth
% 20.70/20.86 Current number of equations to process: 3289
% 20.70/20.86 Current number of ordered equations: 0
% 20.70/20.86 Current number of rules: 568
% 20.70/20.86 New rule produced :
% 20.70/20.86 [573] ifeq(ordered(truth,A),true,A,truth) <-> implies(truth,truth)
% 20.70/20.86 Current number of equations to process: 3292
% 20.70/20.86 Current number of ordered equations: 1
% 20.70/20.86 Current number of rules: 569
% 22.07/22.27 New rule produced :
% 22.07/22.27 [574] implies(truth,truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 22.07/22.27 Current number of equations to process: 3292
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 570
% 22.07/22.27 New rule produced :
% 22.07/22.27 [575] ifeq(ordered(truth,A),true,A,truth) <-> truth big_V truth
% 22.07/22.27 Current number of equations to process: 3361
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 571
% 22.07/22.27 New rule produced :
% 22.07/22.27 [576] truth big_V truth <-> ifeq(ordered(truth,A),true,A,truth)
% 22.07/22.27 Current number of equations to process: 3361
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 572
% 22.07/22.27 New rule produced :
% 22.07/22.27 [577] implies(truth,truth) <-> implies(implies(not(A),not(truth)),A)
% 22.07/22.27 Current number of equations to process: 3426
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 573
% 22.07/22.27 New rule produced :
% 22.07/22.27 [578] implies(implies(not(A),not(truth)),A) <-> implies(truth,truth)
% 22.07/22.27 Current number of equations to process: 3426
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 574
% 22.07/22.27 New rule produced : [579] truth <-> implies(truth big_V not(truth),truth)
% 22.07/22.27 Current number of equations to process: 3494
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 575
% 22.07/22.27 New rule produced : [580] implies(truth big_V not(truth),truth) <-> truth
% 22.07/22.27 Current number of equations to process: 3494
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 576
% 22.07/22.27 New rule produced : [581] truth <-> not(truth) big_V not(not(truth))
% 22.07/22.27 Current number of equations to process: 3495
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 577
% 22.07/22.27 New rule produced : [582] not(truth) big_V not(not(truth)) <-> truth
% 22.07/22.27 Current number of equations to process: 3495
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 578
% 22.07/22.27 New rule produced :
% 22.07/22.27 [583] truth big_V truth <-> implies(implies(not(A),not(truth)),A)
% 22.07/22.27 Current number of equations to process: 3502
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 579
% 22.07/22.27 New rule produced :
% 22.07/22.27 [584] implies(implies(not(A),not(truth)),A) <-> truth big_V truth
% 22.07/22.27 Current number of equations to process: 3502
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 580
% 22.07/22.27 New rule produced :
% 22.07/22.27 [585] implies(truth,A) <-> implies(not(A),not(truth)) big_V A
% 22.07/22.27 Current number of equations to process: 3501
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 581
% 22.07/22.27 New rule produced :
% 22.07/22.27 [586] implies(not(A),not(truth)) big_V A <-> implies(truth,A)
% 22.07/22.27 Current number of equations to process: 3501
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 582
% 22.07/22.27 New rule produced :
% 22.07/22.27 [587] truth <-> implies(not(truth) big_V implies(truth,truth),truth)
% 22.07/22.27 Current number of equations to process: 3563
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 583
% 22.07/22.27 New rule produced :
% 22.07/22.27 [588] implies(not(truth) big_V implies(truth,truth),truth) <-> truth
% 22.07/22.27 Current number of equations to process: 3563
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 584
% 22.07/22.27 New rule produced :
% 22.07/22.27 [589] truth <-> implies(implies(truth,truth big_V not(truth)),truth)
% 22.07/22.27 Current number of equations to process: 3562
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 585
% 22.07/22.27 New rule produced :
% 22.07/22.27 [590] implies(implies(truth,truth big_V not(truth)),truth) <-> truth
% 22.07/22.27 Current number of equations to process: 3562
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 586
% 22.07/22.27 New rule produced :
% 22.07/22.27 [591] truth <-> implies(implies(implies(not(truth),truth),truth),truth)
% 22.07/22.27 Current number of equations to process: 3561
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 587
% 22.07/22.27 New rule produced :
% 22.07/22.27 [592] implies(implies(implies(not(truth),truth),truth),truth) <-> truth
% 22.07/22.27 Current number of equations to process: 3561
% 22.07/22.27 Current number of ordered equations: 0
% 22.07/22.27 Current number of rules: 588
% 22.07/22.27 New rule produced :
% 22.07/22.27 [593] truth <-> implies(truth,not(truth) big_V not(not(truth)))
% 22.07/22.27 Current number of equations to process: 3560
% 22.07/22.27 Current number of ordered equations: 1
% 22.07/22.27 Current number of rules: 589
% 22.07/22.27 New rule produced :
% 22.07/22.27 [594] implies(truth,not(truth) big_V not(not(truth))) <-> truth
% 22.07/22.27 Current number of equations to process: 3560
% 22.07/22.27 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 590
% 23.59/23.79 New rule produced :
% 23.59/23.79 [595] implies(truth,true) <-> ifeq2(implies(x,y),truth,true,true)
% 23.59/23.79 Current number of equations to process: 3559
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 591
% 23.59/23.79 New rule produced :
% 23.59/23.79 [596] ifeq2(implies(x,y),truth,true,true) <-> implies(truth,true)
% 23.59/23.79 Current number of equations to process: 3559
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 592
% 23.59/23.79 New rule produced :
% 23.59/23.79 [597] ordered(x,y) <-> ifeq2(implies(x,y),truth,true,true)
% 23.59/23.79 Current number of equations to process: 3558
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 593
% 23.59/23.79 New rule produced :
% 23.59/23.79 [598] ifeq2(implies(x,y),truth,true,true) <-> ordered(x,y)
% 23.59/23.79 Current number of equations to process: 3558
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 594
% 23.59/23.79 New rule produced :
% 23.59/23.79 [599] ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth,true)
% 23.59/23.79 Current number of equations to process: 3701
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 595
% 23.59/23.79 New rule produced :
% 23.59/23.79 [600] implies(truth,true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 23.59/23.79 Current number of equations to process: 3701
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 596
% 23.59/23.79 New rule produced :
% 23.59/23.79 [601] ifeq2(A,truth,ordered(truth,A),true) <-> ordered(x,y)
% 23.59/23.79 Current number of equations to process: 3700
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 597
% 23.59/23.79 New rule produced :
% 23.59/23.79 [602] ordered(x,y) <-> ifeq2(A,truth,ordered(truth,A),true)
% 23.59/23.79 Current number of equations to process: 3700
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 598
% 23.59/23.79 New rule produced : [603] true <-> ordered(truth,truth)
% 23.59/23.79 Current number of equations to process: 3749
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 599
% 23.59/23.79 New rule produced : [604] ordered(truth,truth) <-> true
% 23.59/23.79 Current number of equations to process: 3749
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 600
% 23.59/23.79 New rule produced : [605] true <-> implies(truth,ordered(truth,truth))
% 23.59/23.79 Current number of equations to process: 3771
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 601
% 23.59/23.79 New rule produced : [606] implies(truth,ordered(truth,truth)) <-> true
% 23.59/23.79 Current number of equations to process: 3771
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 602
% 23.59/23.79 New rule produced : [607] ordered(truth,truth) <-> implies(truth,true)
% 23.59/23.79 Current number of equations to process: 3810
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 603
% 23.59/23.79 New rule produced : [608] implies(truth,true) <-> ordered(truth,truth)
% 23.59/23.79 Current number of equations to process: 3810
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 604
% 23.59/23.79 New rule produced : [609] true <-> ifeq2(A,A,ordered(truth,truth),B)
% 23.59/23.79 Current number of equations to process: 3825
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 605
% 23.59/23.79 New rule produced : [610] ifeq2(A,A,ordered(truth,truth),B) <-> true
% 23.59/23.79 Current number of equations to process: 3825
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 606
% 23.59/23.79 New rule produced : [611] true <-> ifeq(A,A,ordered(truth,truth),B)
% 23.59/23.79 Current number of equations to process: 3824
% 23.59/23.79 Current number of ordered equations: 1
% 23.59/23.79 Current number of rules: 607
% 23.59/23.79 New rule produced : [612] ifeq(A,A,ordered(truth,truth),B) <-> true
% 23.59/23.79 Current number of equations to process: 3824
% 23.59/23.79 Current number of ordered equations: 0
% 23.59/23.79 Current number of rules: 608
% 23.59/23.79 New rule produced : [613] true <-> ordered(x,implies(truth,ifeq(A,A,y,B)))
% 23.59/23.79 Current number of equations to process: 3821
% 23.59/23.79 Current number of ordered equations: 9
% 23.59/23.79 Current number of rules: 609
% 23.59/23.79 New rule produced : [614] true <-> ordered(x,implies(ifeq(A,A,truth,B),y))
% 23.59/23.79 Current number of equations to process: 3821
% 23.59/23.79 Current number of ordered equations: 8
% 23.59/23.79 Current number of rules: 610
% 23.59/23.79 New rule produced : [615] true <-> ordered(x,ifeq(A,A,implies(truth,y),B))
% 23.59/23.79 Current number of equations to process: 3821
% 23.59/23.79 Current number of ordered equations: 7
% 23.59/23.79 Current number of rules: 611
% 23.59/23.79 New rule produced : [616] true <-> ordered(ifeq(A,A,x,B),implies(truth,y))
% 23.59/23.79 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 6
% 23.94/24.11 Current number of rules: 612
% 23.94/24.11 New rule produced : [617] true <-> ifeq(A,A,ordered(x,implies(truth,y)),B)
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 5
% 23.94/24.11 Current number of rules: 613
% 23.94/24.11 New rule produced : [618] ordered(x,implies(truth,ifeq(A,A,y,B))) <-> true
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 4
% 23.94/24.11 Current number of rules: 614
% 23.94/24.11 New rule produced : [619] ordered(x,implies(ifeq(A,A,truth,B),y)) <-> true
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 3
% 23.94/24.11 Current number of rules: 615
% 23.94/24.11 New rule produced : [620] ordered(x,ifeq(A,A,implies(truth,y),B)) <-> true
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 2
% 23.94/24.11 Current number of rules: 616
% 23.94/24.11 New rule produced : [621] ordered(ifeq(A,A,x,B),implies(truth,y)) <-> true
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 1
% 23.94/24.11 Current number of rules: 617
% 23.94/24.11 New rule produced : [622] ifeq(A,A,ordered(x,implies(truth,y)),B) <-> true
% 23.94/24.11 Current number of equations to process: 3821
% 23.94/24.11 Current number of ordered equations: 0
% 23.94/24.11 Current number of rules: 618
% 23.94/24.11 New rule produced : [623] true <-> ordered(x,implies(truth,ifeq2(A,A,y,B)))
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 9
% 23.94/24.11 Current number of rules: 619
% 23.94/24.11 New rule produced : [624] true <-> ordered(x,implies(ifeq2(A,A,truth,B),y))
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 8
% 23.94/24.11 Current number of rules: 620
% 23.94/24.11 New rule produced : [625] true <-> ordered(x,ifeq2(A,A,implies(truth,y),B))
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 7
% 23.94/24.11 Current number of rules: 621
% 23.94/24.11 New rule produced : [626] true <-> ordered(ifeq2(A,A,x,B),implies(truth,y))
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 6
% 23.94/24.11 Current number of rules: 622
% 23.94/24.11 New rule produced : [627] true <-> ifeq2(A,A,ordered(x,implies(truth,y)),B)
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 5
% 23.94/24.11 Current number of rules: 623
% 23.94/24.11 New rule produced : [628] ordered(x,implies(truth,ifeq2(A,A,y,B))) <-> true
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 4
% 23.94/24.11 Current number of rules: 624
% 23.94/24.11 New rule produced : [629] ordered(x,implies(ifeq2(A,A,truth,B),y)) <-> true
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 3
% 23.94/24.11 Current number of rules: 625
% 23.94/24.11 New rule produced : [630] ordered(x,ifeq2(A,A,implies(truth,y),B)) <-> true
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 2
% 23.94/24.11 Current number of rules: 626
% 23.94/24.11 New rule produced : [631] ordered(ifeq2(A,A,x,B),implies(truth,y)) <-> true
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 1
% 23.94/24.11 Current number of rules: 627
% 23.94/24.11 New rule produced : [632] ifeq2(A,A,ordered(x,implies(truth,y)),B) <-> true
% 23.94/24.11 Current number of equations to process: 3816
% 23.94/24.11 Current number of ordered equations: 0
% 23.94/24.11 Current number of rules: 628
% 23.94/24.11 New rule produced :
% 23.94/24.11 [633] truth <-> ifeq(true,true,implies(x,implies(truth,y)),truth)
% 23.94/24.11 Current number of equations to process: 3815
% 23.94/24.11 Current number of ordered equations: 1
% 23.94/24.11 Current number of rules: 629
% 23.94/24.11 New rule produced :
% 23.94/24.11 [634] ifeq(true,true,implies(x,implies(truth,y)),truth) <-> truth
% 23.94/24.11 Current number of equations to process: 3815
% 23.94/24.11 Current number of ordered equations: 0
% 23.94/24.11 Current number of rules: 630
% 23.94/24.11 New rule produced :
% 23.94/24.11 [635] true <-> ifeq2(implies(x,implies(truth,y)),truth,true,true)
% 23.94/24.11 Current number of equations to process: 3814
% 23.94/24.11 Current number of ordered equations: 1
% 23.94/24.11 Current number of rules: 631
% 23.94/24.11 New rule produced :
% 23.94/24.11 [636] ifeq2(implies(x,implies(truth,y)),truth,true,true) <-> true
% 23.94/24.11 Current number of equations to process: 3814
% 23.94/24.11 Current number of ordered equations: 0
% 23.94/24.11 Current number of rules: 632
% 23.94/24.11 New rule produced : [637] true <-> ordered(implies(truth,x),ifeq(A,A,y,B))
% 23.94/24.11 Current number of equations to process: 3809
% 23.94/24.11 Current number of ordered equations: 9
% 23.94/24.11 Current number of rules: 633
% 23.94/24.11 New rule produced : [638] true <-> ordered(implies(truth,ifeq(A,A,x,B)),y)
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 8
% 24.20/24.44 Current number of rules: 634
% 24.20/24.44 New rule produced : [639] true <-> ordered(ifeq(A,A,implies(truth,x),B),y)
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 7
% 24.20/24.44 Current number of rules: 635
% 24.20/24.44 New rule produced : [640] true <-> ordered(implies(ifeq(A,A,truth,B),x),y)
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 6
% 24.20/24.44 Current number of rules: 636
% 24.20/24.44 New rule produced : [641] true <-> ifeq(A,A,ordered(implies(truth,x),y),B)
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 5
% 24.20/24.44 Current number of rules: 637
% 24.20/24.44 New rule produced : [642] ordered(implies(truth,x),ifeq(A,A,y,B)) <-> true
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 4
% 24.20/24.44 Current number of rules: 638
% 24.20/24.44 New rule produced : [643] ordered(implies(truth,ifeq(A,A,x,B)),y) <-> true
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 3
% 24.20/24.44 Current number of rules: 639
% 24.20/24.44 New rule produced : [644] ordered(ifeq(A,A,implies(truth,x),B),y) <-> true
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 2
% 24.20/24.44 Current number of rules: 640
% 24.20/24.44 New rule produced : [645] ordered(implies(ifeq(A,A,truth,B),x),y) <-> true
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 1
% 24.20/24.44 Current number of rules: 641
% 24.20/24.44 New rule produced : [646] ifeq(A,A,ordered(implies(truth,x),y),B) <-> true
% 24.20/24.44 Current number of equations to process: 3809
% 24.20/24.44 Current number of ordered equations: 0
% 24.20/24.44 Current number of rules: 642
% 24.20/24.44 New rule produced : [647] true <-> ordered(implies(truth,x),ifeq2(A,A,y,B))
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 9
% 24.20/24.44 Current number of rules: 643
% 24.20/24.44 New rule produced : [648] true <-> ordered(implies(truth,ifeq2(A,A,x,B)),y)
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 8
% 24.20/24.44 Current number of rules: 644
% 24.20/24.44 New rule produced : [649] true <-> ordered(ifeq2(A,A,implies(truth,x),B),y)
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 7
% 24.20/24.44 Current number of rules: 645
% 24.20/24.44 New rule produced : [650] true <-> ordered(implies(ifeq2(A,A,truth,B),x),y)
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 6
% 24.20/24.44 Current number of rules: 646
% 24.20/24.44 New rule produced : [651] true <-> ifeq2(A,A,ordered(implies(truth,x),y),B)
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 5
% 24.20/24.44 Current number of rules: 647
% 24.20/24.44 New rule produced : [652] ordered(implies(truth,x),ifeq2(A,A,y,B)) <-> true
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 4
% 24.20/24.44 Current number of rules: 648
% 24.20/24.44 New rule produced : [653] ordered(implies(truth,ifeq2(A,A,x,B)),y) <-> true
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 3
% 24.20/24.44 Current number of rules: 649
% 24.20/24.44 New rule produced : [654] ordered(ifeq2(A,A,implies(truth,x),B),y) <-> true
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 2
% 24.20/24.44 Current number of rules: 650
% 24.20/24.44 New rule produced : [655] ordered(implies(ifeq2(A,A,truth,B),x),y) <-> true
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 1
% 24.20/24.44 Current number of rules: 651
% 24.20/24.44 New rule produced : [656] ifeq2(A,A,ordered(implies(truth,x),y),B) <-> true
% 24.20/24.44 Current number of equations to process: 3804
% 24.20/24.44 Current number of ordered equations: 0
% 24.20/24.44 Current number of rules: 652
% 24.20/24.44 New rule produced :
% 24.20/24.44 [657] truth <-> ifeq(true,true,implies(implies(truth,x),y),truth)
% 24.20/24.44 Current number of equations to process: 3803
% 24.20/24.44 Current number of ordered equations: 1
% 24.20/24.44 Current number of rules: 653
% 24.20/24.44 New rule produced :
% 24.20/24.44 [658] ifeq(true,true,implies(implies(truth,x),y),truth) <-> truth
% 24.20/24.44 Current number of equations to process: 3803
% 24.20/24.44 Current number of ordered equations: 0
% 24.20/24.44 Current number of rules: 654
% 24.20/24.44 New rule produced :
% 24.20/24.44 [659] true <-> ifeq2(implies(implies(truth,x),y),truth,true,true)
% 24.20/24.44 Current number of equations to process: 3802
% 24.63/24.82 Current number of ordered equations: 1
% 24.63/24.82 Current number of rules: 655
% 24.63/24.82 New rule produced :
% 24.63/24.82 [660] ifeq2(implies(implies(truth,x),y),truth,true,true) <-> true
% 24.63/24.82 Current number of equations to process: 3802
% 24.63/24.82 Current number of ordered equations: 0
% 24.63/24.82 Current number of rules: 656
% 24.63/24.82 New rule produced : [661] true <-> implies(truth,ifeq(A,A,ordered(x,y),B))
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 9
% 24.63/24.82 Current number of rules: 657
% 24.63/24.82 New rule produced : [662] true <-> implies(truth,ordered(ifeq(A,A,x,B),y))
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 8
% 24.63/24.82 Current number of rules: 658
% 24.63/24.82 New rule produced : [663] true <-> implies(truth,ordered(x,ifeq(A,A,y,B)))
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 7
% 24.63/24.82 Current number of rules: 659
% 24.63/24.82 New rule produced : [664] true <-> implies(ifeq(A,A,truth,B),ordered(x,y))
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 6
% 24.63/24.82 Current number of rules: 660
% 24.63/24.82 New rule produced : [665] true <-> ifeq(A,A,implies(truth,ordered(x,y)),B)
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 5
% 24.63/24.82 Current number of rules: 661
% 24.63/24.82 New rule produced : [666] implies(truth,ifeq(A,A,ordered(x,y),B)) <-> true
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 4
% 24.63/24.82 Current number of rules: 662
% 24.63/24.82 New rule produced : [667] implies(truth,ordered(ifeq(A,A,x,B),y)) <-> true
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 3
% 24.63/24.82 Current number of rules: 663
% 24.63/24.82 New rule produced : [668] implies(truth,ordered(x,ifeq(A,A,y,B))) <-> true
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 2
% 24.63/24.82 Current number of rules: 664
% 24.63/24.82 New rule produced : [669] implies(ifeq(A,A,truth,B),ordered(x,y)) <-> true
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 1
% 24.63/24.82 Current number of rules: 665
% 24.63/24.82 New rule produced : [670] ifeq(A,A,implies(truth,ordered(x,y)),B) <-> true
% 24.63/24.82 Current number of equations to process: 3797
% 24.63/24.82 Current number of ordered equations: 0
% 24.63/24.82 Current number of rules: 666
% 24.63/24.82 New rule produced : [671] true <-> implies(truth,ifeq2(A,A,ordered(x,y),B))
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 9
% 24.63/24.82 Current number of rules: 667
% 24.63/24.82 New rule produced : [672] true <-> implies(truth,ordered(ifeq2(A,A,x,B),y))
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 8
% 24.63/24.82 Current number of rules: 668
% 24.63/24.82 New rule produced : [673] true <-> implies(truth,ordered(x,ifeq2(A,A,y,B)))
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 7
% 24.63/24.82 Current number of rules: 669
% 24.63/24.82 New rule produced : [674] true <-> implies(ifeq2(A,A,truth,B),ordered(x,y))
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 6
% 24.63/24.82 Current number of rules: 670
% 24.63/24.82 New rule produced : [675] true <-> ifeq2(A,A,implies(truth,ordered(x,y)),B)
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 5
% 24.63/24.82 Current number of rules: 671
% 24.63/24.82 New rule produced : [676] implies(truth,ifeq2(A,A,ordered(x,y),B)) <-> true
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 4
% 24.63/24.82 Current number of rules: 672
% 24.63/24.82 New rule produced : [677] implies(truth,ordered(ifeq2(A,A,x,B),y)) <-> true
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 3
% 24.63/24.82 Current number of rules: 673
% 24.63/24.82 New rule produced : [678] implies(truth,ordered(x,ifeq2(A,A,y,B))) <-> true
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 2
% 24.63/24.82 Current number of rules: 674
% 24.63/24.82 New rule produced : [679] implies(ifeq2(A,A,truth,B),ordered(x,y)) <-> true
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 1
% 24.63/24.82 Current number of rules: 675
% 24.63/24.82 New rule produced : [680] ifeq2(A,A,implies(truth,ordered(x,y)),B) <-> true
% 24.63/24.82 Current number of equations to process: 3792
% 24.63/24.82 Current number of ordered equations: 0
% 24.63/24.82 Current number of rules: 676
% 24.63/24.82 New rule produced :
% 24.63/24.82 [681]
% 24.63/24.82 implies(true,ordered(x,y)) <-> implies(implies(ordered(x,y),truth),truth)
% 24.92/25.13 Current number of equations to process: 3791
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 677
% 24.92/25.13 New rule produced :
% 24.92/25.13 [682]
% 24.92/25.13 implies(implies(ordered(x,y),truth),truth) <-> implies(true,ordered(x,y))
% 24.92/25.13 Current number of equations to process: 3791
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 678
% 24.92/25.13 New rule produced :
% 24.92/25.13 [683] truth <-> ifeq(ordered(truth,ordered(x,y)),true,true,truth)
% 24.92/25.13 Current number of equations to process: 3790
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 679
% 24.92/25.13 New rule produced :
% 24.92/25.13 [684] ifeq(ordered(truth,ordered(x,y)),true,true,truth) <-> truth
% 24.92/25.13 Current number of equations to process: 3790
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 680
% 24.92/25.13 New rule produced :
% 24.92/25.13 [685] truth <-> implies(implies(not(ordered(x,y)),not(truth)),true)
% 24.92/25.13 Current number of equations to process: 3789
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 681
% 24.92/25.13 New rule produced :
% 24.92/25.13 [686] implies(implies(not(ordered(x,y)),not(truth)),true) <-> truth
% 24.92/25.13 Current number of equations to process: 3789
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 682
% 24.92/25.13 New rule produced :
% 24.92/25.13 [687] true <-> ifeq2(true,truth,ordered(truth,ordered(x,y)),true)
% 24.92/25.13 Current number of equations to process: 3788
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 683
% 24.92/25.13 New rule produced :
% 24.92/25.13 [688] ifeq2(true,truth,ordered(truth,ordered(x,y)),true) <-> true
% 24.92/25.13 Current number of equations to process: 3788
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 684
% 24.92/25.13 New rule produced : [689] A <-> implies(truth,implies(truth,ifeq(B,B,A,C)))
% 24.92/25.13 Current number of equations to process: 3787
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 685
% 24.92/25.13 New rule produced : [690] implies(truth,implies(truth,ifeq(B,B,A,C))) <-> A
% 24.92/25.13 Current number of equations to process: 3787
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 686
% 24.92/25.13 New rule produced : [691] A <-> implies(truth,implies(truth,ifeq2(B,B,A,C)))
% 24.92/25.13 Current number of equations to process: 3786
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 687
% 24.92/25.13 New rule produced : [692] implies(truth,implies(truth,ifeq2(B,B,A,C))) <-> A
% 24.92/25.13 Current number of equations to process: 3786
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 688
% 24.92/25.13 New rule produced :
% 24.92/25.13 [693] implies(truth,implies(truth,A big_V B)) <-> implies(implies(A,B),B)
% 24.92/25.13 Current number of equations to process: 3785
% 24.92/25.13 Current number of ordered equations: 1
% 24.92/25.13 Current number of rules: 689
% 24.92/25.13 New rule produced :
% 24.92/25.13 [694] implies(implies(A,B),B) <-> implies(truth,implies(truth,A big_V B))
% 24.92/25.13 Current number of equations to process: 3785
% 24.92/25.13 Current number of ordered equations: 0
% 24.92/25.13 Current number of rules: 690
% 24.92/25.13 New rule produced :
% 24.92/25.13 [695] true <-> ordered(x,implies(truth,implies(truth,implies(truth,y))))
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 7
% 24.92/25.13 Current number of rules: 691
% 24.92/25.13 New rule produced :
% 24.92/25.13 [696] true <-> ordered(x,implies(implies(truth,implies(truth,truth)),y))
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 6
% 24.92/25.13 Current number of rules: 692
% 24.92/25.13 New rule produced :
% 24.92/25.13 [697] true <-> ordered(implies(truth,implies(truth,x)),implies(truth,y))
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 5
% 24.92/25.13 Current number of rules: 693
% 24.92/25.13 New rule produced :
% 24.92/25.13 [698] true <-> implies(truth,implies(truth,ordered(x,implies(truth,y))))
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 4
% 24.92/25.13 Current number of rules: 694
% 24.92/25.13 New rule produced :
% 24.92/25.13 [699] ordered(x,implies(truth,implies(truth,implies(truth,y)))) <-> true
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 3
% 24.92/25.13 Current number of rules: 695
% 24.92/25.13 New rule produced :
% 24.92/25.13 [700] ordered(x,implies(implies(truth,implies(truth,truth)),y)) <-> true
% 24.92/25.13 Current number of equations to process: 3781
% 24.92/25.13 Current number of ordered equations: 2
% 24.92/25.13 Current number of rules: 696
% 24.92/25.13 New rule produced :
% 24.92/25.13 [701] ordered(implies(truth,implies(truth,x)),implies(truth,y)) <-> true
% 24.92/25.13 Current number of equations to process: 3781
% 25.30/25.51 Current number of ordered equations: 1
% 25.30/25.51 Current number of rules: 697
% 25.30/25.51 New rule produced :
% 25.30/25.51 [702] implies(truth,implies(truth,ordered(x,implies(truth,y)))) <-> true
% 25.30/25.51 Current number of equations to process: 3781
% 25.30/25.51 Current number of ordered equations: 0
% 25.30/25.51 Current number of rules: 698
% 25.30/25.51 New rule produced :
% 25.30/25.51 [703] true <-> ordered(implies(truth,x),implies(truth,implies(truth,y)))
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 7
% 25.30/25.51 Current number of rules: 699
% 25.30/25.51 New rule produced :
% 25.30/25.51 [704] true <-> implies(truth,implies(truth,ordered(implies(truth,x),y)))
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 6
% 25.30/25.51 Current number of rules: 700
% 25.30/25.51 New rule produced :
% 25.30/25.51 [705] true <-> ordered(implies(truth,implies(truth,implies(truth,x))),y)
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 5
% 25.30/25.51 Current number of rules: 701
% 25.30/25.51 New rule produced :
% 25.30/25.51 [706] true <-> ordered(implies(implies(truth,implies(truth,truth)),x),y)
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 4
% 25.30/25.51 Current number of rules: 702
% 25.30/25.51 New rule produced :
% 25.30/25.51 [707] ordered(implies(truth,x),implies(truth,implies(truth,y))) <-> true
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 3
% 25.30/25.51 Current number of rules: 703
% 25.30/25.51 New rule produced :
% 25.30/25.51 [708] implies(truth,implies(truth,ordered(implies(truth,x),y))) <-> true
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 2
% 25.30/25.51 Current number of rules: 704
% 25.30/25.51 New rule produced :
% 25.30/25.51 [709] ordered(implies(truth,implies(truth,implies(truth,x))),y) <-> true
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 1
% 25.30/25.51 Current number of rules: 705
% 25.30/25.51 New rule produced :
% 25.30/25.51 [710] ordered(implies(implies(truth,implies(truth,truth)),x),y) <-> true
% 25.30/25.51 Current number of equations to process: 3777
% 25.30/25.51 Current number of ordered equations: 0
% 25.30/25.51 Current number of rules: 706
% 25.30/25.51 New rule produced :
% 25.30/25.51 [711] true <-> implies(truth,implies(truth,implies(truth,ordered(x,y))))
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 7
% 25.30/25.51 Current number of rules: 707
% 25.30/25.51 New rule produced :
% 25.30/25.51 [712] true <-> implies(truth,ordered(x,implies(truth,implies(truth,y))))
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 6
% 25.30/25.51 Current number of rules: 708
% 25.30/25.51 New rule produced :
% 25.30/25.51 [713] true <-> implies(truth,ordered(implies(truth,implies(truth,x)),y))
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 5
% 25.30/25.51 Current number of rules: 709
% 25.30/25.51 New rule produced :
% 25.30/25.51 [714] true <-> implies(implies(truth,implies(truth,truth)),ordered(x,y))
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 4
% 25.30/25.51 Current number of rules: 710
% 25.30/25.51 New rule produced :
% 25.30/25.51 [715] implies(truth,implies(truth,implies(truth,ordered(x,y)))) <-> true
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 3
% 25.30/25.51 Current number of rules: 711
% 25.30/25.51 New rule produced :
% 25.30/25.51 [716] implies(truth,ordered(x,implies(truth,implies(truth,y)))) <-> true
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 2
% 25.30/25.51 Current number of rules: 712
% 25.30/25.51 New rule produced :
% 25.30/25.51 [717] implies(truth,ordered(implies(truth,implies(truth,x)),y)) <-> true
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 1
% 25.30/25.51 Current number of rules: 713
% 25.30/25.51 New rule produced :
% 25.30/25.51 [718] implies(implies(truth,implies(truth,truth)),ordered(x,y)) <-> true
% 25.30/25.51 Current number of equations to process: 3773
% 25.30/25.51 Current number of ordered equations: 0
% 25.30/25.51 Current number of rules: 714
% 25.30/25.51 New rule produced : [719] A <-> implies(implies(truth,truth),ifeq(B,B,A,C))
% 25.30/25.51 Current number of equations to process: 3772
% 25.30/25.51 Current number of ordered equations: 1
% 25.30/25.51 Current number of rules: 715
% 25.30/25.51 New rule produced : [720] implies(implies(truth,truth),ifeq(B,B,A,C)) <-> A
% 25.30/25.51 Current number of equations to process: 3772
% 25.30/25.51 Current number of ordered equations: 0
% 25.30/25.51 Current number of rules: 716
% 25.30/25.51 New rule produced : [721] A <-> implies(implies(truth,truth),ifeq2(B,B,A,C))
% 25.30/25.51 Current number of equations to process: 3771
% 25.70/25.93 Current number of ordered equations: 1
% 25.70/25.93 Current number of rules: 717
% 25.70/25.93 New rule produced : [722] implies(implies(truth,truth),ifeq2(B,B,A,C)) <-> A
% 25.70/25.93 Current number of equations to process: 3771
% 25.70/25.93 Current number of ordered equations: 0
% 25.70/25.93 Current number of rules: 718
% 25.70/25.93 New rule produced :
% 25.70/25.93 [723] implies(implies(A,B),B) <-> implies(implies(truth,truth),A big_V B)
% 25.70/25.93 Current number of equations to process: 3770
% 25.70/25.93 Current number of ordered equations: 1
% 25.70/25.93 Current number of rules: 719
% 25.70/25.93 New rule produced :
% 25.70/25.93 [724] implies(implies(truth,truth),A big_V B) <-> implies(implies(A,B),B)
% 25.70/25.93 Current number of equations to process: 3770
% 25.70/25.93 Current number of ordered equations: 0
% 25.70/25.93 Current number of rules: 720
% 25.70/25.93 New rule produced :
% 25.70/25.93 [725] true <-> ordered(x,implies(implies(truth,truth),implies(truth,y)))
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 9
% 25.70/25.93 Current number of rules: 721
% 25.70/25.93 New rule produced :
% 25.70/25.93 [726] true <-> ordered(x,implies(truth,implies(implies(truth,truth),y)))
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 8
% 25.70/25.93 Current number of rules: 722
% 25.70/25.93 New rule produced :
% 25.70/25.93 [727] true <-> ordered(x,implies(implies(implies(truth,truth),truth),y))
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 7
% 25.70/25.93 Current number of rules: 723
% 25.70/25.93 New rule produced :
% 25.70/25.93 [728] true <-> implies(implies(truth,truth),ordered(x,implies(truth,y)))
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 6
% 25.70/25.93 Current number of rules: 724
% 25.70/25.93 New rule produced :
% 25.70/25.93 [729] true <-> ordered(implies(implies(truth,truth),x),implies(truth,y))
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 5
% 25.70/25.93 Current number of rules: 725
% 25.70/25.93 New rule produced :
% 25.70/25.93 [730] ordered(x,implies(implies(truth,truth),implies(truth,y))) <-> true
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 4
% 25.70/25.93 Current number of rules: 726
% 25.70/25.93 New rule produced :
% 25.70/25.93 [731] ordered(x,implies(truth,implies(implies(truth,truth),y))) <-> true
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 3
% 25.70/25.93 Current number of rules: 727
% 25.70/25.93 New rule produced :
% 25.70/25.93 [732] ordered(x,implies(implies(implies(truth,truth),truth),y)) <-> true
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 2
% 25.70/25.93 Current number of rules: 728
% 25.70/25.93 New rule produced :
% 25.70/25.93 [733] implies(implies(truth,truth),ordered(x,implies(truth,y))) <-> true
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 1
% 25.70/25.93 Current number of rules: 729
% 25.70/25.93 New rule produced :
% 25.70/25.93 [734] ordered(implies(implies(truth,truth),x),implies(truth,y)) <-> true
% 25.70/25.93 Current number of equations to process: 3765
% 25.70/25.93 Current number of ordered equations: 0
% 25.70/25.93 Current number of rules: 730
% 25.70/25.93 New rule produced :
% 25.70/25.93 [735] true <-> ordered(implies(truth,x),implies(implies(truth,truth),y))
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 9
% 25.70/25.93 Current number of rules: 731
% 25.70/25.93 New rule produced :
% 25.70/25.93 [736] true <-> implies(implies(truth,truth),ordered(implies(truth,x),y))
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 8
% 25.70/25.93 Current number of rules: 732
% 25.70/25.93 New rule produced :
% 25.70/25.93 [737] true <-> ordered(implies(truth,implies(implies(truth,truth),x)),y)
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 7
% 25.70/25.93 Current number of rules: 733
% 25.70/25.93 New rule produced :
% 25.70/25.93 [738] true <-> ordered(implies(implies(truth,truth),implies(truth,x)),y)
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 6
% 25.70/25.93 Current number of rules: 734
% 25.70/25.93 New rule produced :
% 25.70/25.93 [739] true <-> ordered(implies(implies(implies(truth,truth),truth),x),y)
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 5
% 25.70/25.93 Current number of rules: 735
% 25.70/25.93 New rule produced :
% 25.70/25.93 [740] ordered(implies(truth,x),implies(implies(truth,truth),y)) <-> true
% 25.70/25.93 Current number of equations to process: 3760
% 25.70/25.93 Current number of ordered equations: 4
% 25.70/25.93 Current number of rules: 736
% 25.70/25.93 New rule produced :
% 25.70/25.93 [741] implies(implies(truth,truth),ordered(implies(truth,x),y)) <-> true
% 25.70/25.93 Current number of equations to process: 3760
% 26.22/26.39 Current number of ordered equations: 3
% 26.22/26.39 Current number of rules: 737
% 26.22/26.39 New rule produced :
% 26.22/26.39 [742] ordered(implies(truth,implies(implies(truth,truth),x)),y) <-> true
% 26.22/26.39 Current number of equations to process: 3760
% 26.22/26.39 Current number of ordered equations: 2
% 26.22/26.39 Current number of rules: 738
% 26.22/26.39 New rule produced :
% 26.22/26.39 [743] ordered(implies(implies(truth,truth),implies(truth,x)),y) <-> true
% 26.22/26.39 Current number of equations to process: 3760
% 26.22/26.39 Current number of ordered equations: 1
% 26.22/26.39 Current number of rules: 739
% 26.22/26.39 New rule produced :
% 26.22/26.39 [744] ordered(implies(implies(implies(truth,truth),truth),x),y) <-> true
% 26.22/26.39 Current number of equations to process: 3760
% 26.22/26.39 Current number of ordered equations: 0
% 26.22/26.39 Current number of rules: 740
% 26.22/26.39 New rule produced :
% 26.22/26.39 [745] true <-> implies(truth,implies(implies(truth,truth),ordered(x,y)))
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 9
% 26.22/26.39 Current number of rules: 741
% 26.22/26.39 New rule produced :
% 26.22/26.39 [746] true <-> implies(truth,ordered(x,implies(implies(truth,truth),y)))
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 8
% 26.22/26.39 Current number of rules: 742
% 26.22/26.39 New rule produced :
% 26.22/26.39 [747] true <-> implies(truth,ordered(implies(implies(truth,truth),x),y))
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 7
% 26.22/26.39 Current number of rules: 743
% 26.22/26.39 New rule produced :
% 26.22/26.39 [748] true <-> implies(implies(truth,truth),implies(truth,ordered(x,y)))
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 6
% 26.22/26.39 Current number of rules: 744
% 26.22/26.39 New rule produced :
% 26.22/26.39 [749] true <-> implies(implies(implies(truth,truth),truth),ordered(x,y))
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 5
% 26.22/26.39 Current number of rules: 745
% 26.22/26.39 New rule produced :
% 26.22/26.39 [750] implies(truth,implies(implies(truth,truth),ordered(x,y))) <-> true
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 4
% 26.22/26.39 Current number of rules: 746
% 26.22/26.39 New rule produced :
% 26.22/26.39 [751] implies(truth,ordered(x,implies(implies(truth,truth),y))) <-> true
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 3
% 26.22/26.39 Current number of rules: 747
% 26.22/26.39 New rule produced :
% 26.22/26.39 [752] implies(truth,ordered(implies(implies(truth,truth),x),y)) <-> true
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 2
% 26.22/26.39 Current number of rules: 748
% 26.22/26.39 New rule produced :
% 26.22/26.39 [753] implies(implies(truth,truth),implies(truth,ordered(x,y))) <-> true
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 1
% 26.22/26.39 Current number of rules: 749
% 26.22/26.39 New rule produced :
% 26.22/26.39 [754] implies(implies(implies(truth,truth),truth),ordered(x,y)) <-> true
% 26.22/26.39 Current number of equations to process: 3755
% 26.22/26.39 Current number of ordered equations: 0
% 26.22/26.39 Current number of rules: 750
% 26.22/26.39 New rule produced : [755] B <-> implies(truth,ifeq(A,A,implies(truth,B),C))
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 7
% 26.22/26.39 Current number of rules: 751
% 26.22/26.39 New rule produced : [756] B <-> ifeq(A,A,implies(truth,implies(truth,B)),C)
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 6
% 26.22/26.39 Current number of rules: 752
% 26.22/26.39 New rule produced : [757] C <-> implies(truth,implies(ifeq(A,A,truth,B),C))
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 5
% 26.22/26.39 Current number of rules: 753
% 26.22/26.39 New rule produced : [758] C <-> implies(ifeq(A,A,truth,B),implies(truth,C))
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 4
% 26.22/26.39 Current number of rules: 754
% 26.22/26.39 New rule produced : [759] implies(truth,implies(ifeq(A,A,truth,B),C)) <-> C
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 3
% 26.22/26.39 Current number of rules: 755
% 26.22/26.39 New rule produced : [760] implies(truth,ifeq(A,A,implies(truth,B),C)) <-> B
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 2
% 26.22/26.39 Current number of rules: 756
% 26.22/26.39 New rule produced : [761] implies(ifeq(A,A,truth,B),implies(truth,C)) <-> C
% 26.22/26.39 Current number of equations to process: 3751
% 26.22/26.39 Current number of ordered equations: 1
% 26.22/26.39 Current number of rules: 757
% 26.22/26.39 New rule produced : [762] ifeq(A,A,implies(truth,implies(truth,B)),C) <-> B
% 26.70/26.84 Current number of equations to process: 3751
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 758
% 26.70/26.84 New rule produced : [763] B <-> implies(truth,ifeq2(A,A,implies(truth,B),C))
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 7
% 26.70/26.84 Current number of rules: 759
% 26.70/26.84 New rule produced : [764] B <-> ifeq2(A,A,implies(truth,implies(truth,B)),C)
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 6
% 26.70/26.84 Current number of rules: 760
% 26.70/26.84 New rule produced : [765] C <-> implies(truth,implies(ifeq2(A,A,truth,B),C))
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 5
% 26.70/26.84 Current number of rules: 761
% 26.70/26.84 New rule produced : [766] C <-> implies(ifeq2(A,A,truth,B),implies(truth,C))
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 4
% 26.70/26.84 Current number of rules: 762
% 26.70/26.84 New rule produced : [767] implies(truth,implies(ifeq2(A,A,truth,B),C)) <-> C
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 3
% 26.70/26.84 Current number of rules: 763
% 26.70/26.84 New rule produced : [768] implies(truth,ifeq2(A,A,implies(truth,B),C)) <-> B
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 2
% 26.70/26.84 Current number of rules: 764
% 26.70/26.84 New rule produced : [769] implies(ifeq2(A,A,truth,B),implies(truth,C)) <-> C
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 1
% 26.70/26.84 Current number of rules: 765
% 26.70/26.84 New rule produced : [770] ifeq2(A,A,implies(truth,implies(truth,B)),C) <-> B
% 26.70/26.84 Current number of equations to process: 3747
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 766
% 26.70/26.84 New rule produced :
% 26.70/26.84 [771]
% 26.70/26.84 implies(implies(implies(truth,A),truth),truth) <->
% 26.70/26.84 implies(A,implies(truth,A))
% 26.70/26.84 Current number of equations to process: 3746
% 26.70/26.84 Current number of ordered equations: 1
% 26.70/26.84 Current number of rules: 767
% 26.70/26.84 New rule produced :
% 26.70/26.84 [772]
% 26.70/26.84 implies(A,implies(truth,A)) <->
% 26.70/26.84 implies(implies(implies(truth,A),truth),truth)
% 26.70/26.84 Current number of equations to process: 3746
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 768
% 26.70/26.84 New rule produced :
% 26.70/26.84 [773] truth <-> ifeq(ordered(truth,implies(truth,A)),true,A,truth)
% 26.70/26.84 Current number of equations to process: 3745
% 26.70/26.84 Current number of ordered equations: 1
% 26.70/26.84 Current number of rules: 769
% 26.70/26.84 New rule produced :
% 26.70/26.84 [774] ifeq(ordered(truth,implies(truth,A)),true,A,truth) <-> truth
% 26.70/26.84 Current number of equations to process: 3745
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 770
% 26.70/26.84 New rule produced :
% 26.70/26.84 [775] truth <-> implies(implies(not(implies(truth,A)),not(truth)),A)
% 26.70/26.84 Current number of equations to process: 3744
% 26.70/26.84 Current number of ordered equations: 1
% 26.70/26.84 Current number of rules: 771
% 26.70/26.84 New rule produced :
% 26.70/26.84 [776] implies(implies(not(implies(truth,A)),not(truth)),A) <-> truth
% 26.70/26.84 Current number of equations to process: 3744
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 772
% 26.70/26.84 New rule produced :
% 26.70/26.84 [777] true <-> ifeq2(A,truth,ordered(truth,implies(truth,A)),true)
% 26.70/26.84 Current number of equations to process: 3743
% 26.70/26.84 Current number of ordered equations: 1
% 26.70/26.84 Current number of rules: 773
% 26.70/26.84 New rule produced :
% 26.70/26.84 [778] ifeq2(A,truth,ordered(truth,implies(truth,A)),true) <-> true
% 26.70/26.84 Current number of equations to process: 3743
% 26.70/26.84 Current number of ordered equations: 0
% 26.70/26.84 Current number of rules: 774
% 26.70/26.84 New rule produced :
% 26.70/26.84 [779] A <-> implies(truth,implies(truth,implies(truth,implies(truth,A))))
% 26.70/26.84 Current number of equations to process: 3740
% 26.70/26.84 Current number of ordered equations: 5
% 26.70/26.84 Current number of rules: 775
% 26.70/26.84 New rule produced :
% 26.70/26.84 [780] A <-> implies(truth,implies(implies(truth,implies(truth,truth)),A))
% 26.70/26.84 Current number of equations to process: 3740
% 26.70/26.84 Current number of ordered equations: 4
% 26.70/26.84 Current number of rules: 776
% 26.70/26.84 New rule produced :
% 26.70/26.84 [781] A <-> implies(implies(truth,implies(truth,truth)),implies(truth,A))
% 26.70/26.84 Current number of equations to process: 3740
% 26.70/26.84 Current number of ordered equations: 3
% 26.70/26.84 Current number of rules: 777
% 26.70/26.84 New rule produced :
% 26.70/26.84 [782] implies(truth,implies(truth,implies(truth,implies(truth,A)))) <-> A
% 26.70/26.84 Current number of equations to process: 3740
% 26.70/26.84 Current number of ordered equations: 2
% 27.25/27.41 Current number of rules: 778
% 27.25/27.41 New rule produced :
% 27.25/27.41 [783] implies(truth,implies(implies(truth,implies(truth,truth)),A)) <-> A
% 27.25/27.41 Current number of equations to process: 3740
% 27.25/27.41 Current number of ordered equations: 1
% 27.25/27.41 Current number of rules: 779
% 27.25/27.41 New rule produced :
% 27.25/27.41 [784] implies(implies(truth,implies(truth,truth)),implies(truth,A)) <-> A
% 27.25/27.41 Current number of equations to process: 3740
% 27.25/27.41 Current number of ordered equations: 0
% 27.25/27.41 Current number of rules: 780
% 27.25/27.41 New rule produced :
% 27.25/27.41 [785] A <-> implies(truth,implies(implies(truth,truth),implies(truth,A)))
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 7
% 27.25/27.41 Current number of rules: 781
% 27.25/27.41 New rule produced :
% 27.25/27.41 [786] A <-> implies(truth,implies(implies(implies(truth,truth),truth),A))
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 6
% 27.25/27.41 Current number of rules: 782
% 27.25/27.41 New rule produced :
% 27.25/27.41 [787] A <-> implies(implies(truth,truth),implies(truth,implies(truth,A)))
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 5
% 27.25/27.41 Current number of rules: 783
% 27.25/27.41 New rule produced :
% 27.25/27.41 [788] A <-> implies(implies(implies(truth,truth),truth),implies(truth,A))
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 4
% 27.25/27.41 Current number of rules: 784
% 27.25/27.41 New rule produced :
% 27.25/27.41 [789] implies(truth,implies(implies(truth,truth),implies(truth,A))) <-> A
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 3
% 27.25/27.41 Current number of rules: 785
% 27.25/27.41 New rule produced :
% 27.25/27.41 [790] implies(truth,implies(implies(implies(truth,truth),truth),A)) <-> A
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 2
% 27.25/27.41 Current number of rules: 786
% 27.25/27.41 New rule produced :
% 27.25/27.41 [791] implies(implies(truth,truth),implies(truth,implies(truth,A))) <-> A
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 1
% 27.25/27.41 Current number of rules: 787
% 27.25/27.41 New rule produced :
% 27.25/27.41 [792] implies(implies(implies(truth,truth),truth),implies(truth,A)) <-> A
% 27.25/27.41 Current number of equations to process: 3736
% 27.25/27.41 Current number of ordered equations: 0
% 27.25/27.41 Current number of rules: 788
% 27.25/27.41 New rule produced : [793] B <-> ifeq(A,A,implies(implies(truth,truth),B),C)
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 7
% 27.25/27.41 Current number of rules: 789
% 27.25/27.41 New rule produced : [794] C <-> implies(ifeq(A,A,implies(truth,truth),B),C)
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 6
% 27.25/27.41 Current number of rules: 790
% 27.25/27.41 New rule produced : [795] C <-> implies(implies(truth,ifeq(A,A,truth,B)),C)
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 5
% 27.25/27.41 Current number of rules: 791
% 27.25/27.41 New rule produced : [796] C <-> implies(implies(ifeq(A,A,truth,B),truth),C)
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 4
% 27.25/27.41 Current number of rules: 792
% 27.25/27.41 New rule produced : [797] ifeq(A,A,implies(implies(truth,truth),B),C) <-> B
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 3
% 27.25/27.41 Current number of rules: 793
% 27.25/27.41 New rule produced : [798] implies(ifeq(A,A,implies(truth,truth),B),C) <-> C
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 2
% 27.25/27.41 Current number of rules: 794
% 27.25/27.41 New rule produced : [799] implies(implies(truth,ifeq(A,A,truth,B)),C) <-> C
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 1
% 27.25/27.41 Current number of rules: 795
% 27.25/27.41 New rule produced : [800] implies(implies(ifeq(A,A,truth,B),truth),C) <-> C
% 27.25/27.41 Current number of equations to process: 3732
% 27.25/27.41 Current number of ordered equations: 0
% 27.25/27.41 Current number of rules: 796
% 27.25/27.41 New rule produced : [801] B <-> ifeq2(A,A,implies(implies(truth,truth),B),C)
% 27.25/27.41 Current number of equations to process: 3728
% 27.25/27.41 Current number of ordered equations: 7
% 27.25/27.41 Current number of rules: 797
% 27.25/27.41 New rule produced : [802] C <-> implies(ifeq2(A,A,implies(truth,truth),B),C)
% 27.25/27.41 Current number of equations to process: 3728
% 27.25/27.41 Current number of ordered equations: 6
% 27.25/27.41 Current number of rules: 798
% 27.25/27.41 New rule produced : [803] C <-> implies(implies(truth,ifeq2(A,A,truth,B)),C)
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 5
% 27.71/27.87 Current number of rules: 799
% 27.71/27.87 New rule produced : [804] C <-> implies(implies(ifeq2(A,A,truth,B),truth),C)
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 4
% 27.71/27.87 Current number of rules: 800
% 27.71/27.87 New rule produced : [805] ifeq2(A,A,implies(implies(truth,truth),B),C) <-> B
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 3
% 27.71/27.87 Current number of rules: 801
% 27.71/27.87 New rule produced : [806] implies(ifeq2(A,A,implies(truth,truth),B),C) <-> C
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 2
% 27.71/27.87 Current number of rules: 802
% 27.71/27.87 New rule produced : [807] implies(implies(truth,ifeq2(A,A,truth,B)),C) <-> C
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 1
% 27.71/27.87 Current number of rules: 803
% 27.71/27.87 New rule produced : [808] implies(implies(ifeq2(A,A,truth,B),truth),C) <-> C
% 27.71/27.87 Current number of equations to process: 3728
% 27.71/27.87 Current number of ordered equations: 0
% 27.71/27.87 Current number of rules: 804
% 27.71/27.87 New rule produced :
% 27.71/27.87 [809] truth <-> ifeq(ordered(implies(truth,truth),A),true,A,truth)
% 27.71/27.87 Current number of equations to process: 3727
% 27.71/27.87 Current number of ordered equations: 1
% 27.71/27.87 Current number of rules: 805
% 27.71/27.87 New rule produced :
% 27.71/27.87 [810] ifeq(ordered(implies(truth,truth),A),true,A,truth) <-> truth
% 27.71/27.87 Current number of equations to process: 3727
% 27.71/27.87 Current number of ordered equations: 0
% 27.71/27.87 Current number of rules: 806
% 27.71/27.87 New rule produced :
% 27.71/27.87 [811] truth <-> implies(implies(not(A),not(implies(truth,truth))),A)
% 27.71/27.87 Current number of equations to process: 3726
% 27.71/27.87 Current number of ordered equations: 1
% 27.71/27.87 Current number of rules: 807
% 27.71/27.87 New rule produced :
% 27.71/27.87 [812] implies(implies(not(A),not(implies(truth,truth))),A) <-> truth
% 27.71/27.87 Current number of equations to process: 3726
% 27.71/27.87 Current number of ordered equations: 0
% 27.71/27.87 Current number of rules: 808
% 27.71/27.87 New rule produced :
% 27.71/27.87 [813] true <-> ifeq2(A,truth,ordered(implies(truth,truth),A),true)
% 27.71/27.87 Current number of equations to process: 3725
% 27.71/27.87 Current number of ordered equations: 1
% 27.71/27.87 Current number of rules: 809
% 27.71/27.87 New rule produced :
% 27.71/27.87 [814] ifeq2(A,truth,ordered(implies(truth,truth),A),true) <-> true
% 27.71/27.87 Current number of equations to process: 3725
% 27.71/27.87 Current number of ordered equations: 0
% 27.71/27.87 Current number of rules: 810
% 27.71/27.87 New rule produced :
% 27.71/27.87 [815] A <-> implies(truth,implies(truth,implies(implies(truth,truth),A)))
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 5
% 27.71/27.87 Current number of rules: 811
% 27.71/27.87 New rule produced :
% 27.71/27.87 [816] A <-> implies(implies(truth,implies(truth,implies(truth,truth))),A)
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 4
% 27.71/27.87 Current number of rules: 812
% 27.71/27.87 New rule produced :
% 27.71/27.87 [817] A <-> implies(implies(implies(truth,implies(truth,truth)),truth),A)
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 3
% 27.71/27.87 Current number of rules: 813
% 27.71/27.87 New rule produced :
% 27.71/27.87 [818] implies(truth,implies(truth,implies(implies(truth,truth),A))) <-> A
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 2
% 27.71/27.87 Current number of rules: 814
% 27.71/27.87 New rule produced :
% 27.71/27.87 [819] implies(implies(truth,implies(truth,implies(truth,truth))),A) <-> A
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 1
% 27.71/27.87 Current number of rules: 815
% 27.71/27.87 New rule produced :
% 27.71/27.87 [820] implies(implies(implies(truth,implies(truth,truth)),truth),A) <-> A
% 27.71/27.87 Current number of equations to process: 3722
% 27.71/27.87 Current number of ordered equations: 0
% 27.71/27.87 Current number of rules: 816
% 27.71/27.87 New rule produced :
% 27.71/27.87 [821] A <-> implies(implies(implies(implies(truth,truth),truth),truth),A)
% 27.71/27.87 Current number of equations to process: 3718
% 27.71/27.87 Current number of ordered equations: 7
% 27.71/27.87 Current number of rules: 817
% 27.71/27.87 New rule produced :
% 27.71/27.87 [822] A <-> implies(implies(truth,truth),implies(implies(truth,truth),A))
% 27.71/27.87 Current number of equations to process: 3718
% 27.71/27.87 Current number of ordered equations: 6
% 27.71/27.87 Current number of rules: 818
% 27.71/27.87 New rule produced :
% 27.71/27.87 [823] A <-> implies(implies(implies(truth,truth),implies(truth,truth)),A)
% 27.71/27.87 Current number of equations to process: 3718
% 27.71/27.87 Current number of ordered equations: 5
% 28.01/28.19 Current number of rules: 819
% 28.01/28.19 New rule produced :
% 28.01/28.19 [824] A <-> implies(implies(truth,implies(implies(truth,truth),truth)),A)
% 28.01/28.19 Current number of equations to process: 3718
% 28.01/28.19 Current number of ordered equations: 4
% 28.01/28.19 Current number of rules: 820
% 28.01/28.19 New rule produced :
% 28.01/28.19 [825] implies(implies(implies(implies(truth,truth),truth),truth),A) <-> A
% 28.01/28.19 Current number of equations to process: 3718
% 28.01/28.19 Current number of ordered equations: 3
% 28.01/28.19 Current number of rules: 821
% 28.01/28.19 New rule produced :
% 28.01/28.19 [826] implies(implies(truth,truth),implies(implies(truth,truth),A)) <-> A
% 28.01/28.19 Current number of equations to process: 3718
% 28.01/28.19 Current number of ordered equations: 2
% 28.01/28.19 Current number of rules: 822
% 28.01/28.19 New rule produced :
% 28.01/28.19 [827] implies(implies(implies(truth,truth),implies(truth,truth)),A) <-> A
% 28.01/28.19 Current number of equations to process: 3718
% 28.01/28.19 Current number of ordered equations: 1
% 28.01/28.19 Current number of rules: 823
% 28.01/28.19 New rule produced :
% 28.01/28.19 [828] implies(implies(truth,implies(implies(truth,truth),truth)),A) <-> A
% 28.01/28.19 Current number of equations to process: 3718
% 28.01/28.19 Current number of ordered equations: 0
% 28.01/28.19 Current number of rules: 824
% 28.01/28.19 New rule produced :
% 28.01/28.19 [829] ordered(x,implies(truth,y)) <-> implies(truth,ifeq(A,A,true,B))
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 5
% 28.01/28.19 Current number of rules: 825
% 28.01/28.19 New rule produced :
% 28.01/28.19 [830] ordered(x,implies(truth,y)) <-> implies(ifeq(A,A,truth,B),true)
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 4
% 28.01/28.19 Current number of rules: 826
% 28.01/28.19 New rule produced :
% 28.01/28.19 [831] ordered(x,implies(truth,y)) <-> ifeq(A,A,implies(truth,true),B)
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 3
% 28.01/28.19 Current number of rules: 827
% 28.01/28.19 New rule produced :
% 28.01/28.19 [832] implies(truth,ifeq(A,A,true,B)) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 2
% 28.01/28.19 Current number of rules: 828
% 28.01/28.19 New rule produced :
% 28.01/28.19 [833] implies(ifeq(A,A,truth,B),true) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 1
% 28.01/28.19 Current number of rules: 829
% 28.01/28.19 New rule produced :
% 28.01/28.19 [834] ifeq(A,A,implies(truth,true),B) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3715
% 28.01/28.19 Current number of ordered equations: 0
% 28.01/28.19 Current number of rules: 830
% 28.01/28.19 New rule produced :
% 28.01/28.19 [835] ordered(x,implies(truth,y)) <-> implies(truth,ifeq2(A,A,true,B))
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 5
% 28.01/28.19 Current number of rules: 831
% 28.01/28.19 New rule produced :
% 28.01/28.19 [836] ordered(x,implies(truth,y)) <-> implies(ifeq2(A,A,truth,B),true)
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 4
% 28.01/28.19 Current number of rules: 832
% 28.01/28.19 New rule produced :
% 28.01/28.19 [837] ordered(x,implies(truth,y)) <-> ifeq2(A,A,implies(truth,true),B)
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 3
% 28.01/28.19 Current number of rules: 833
% 28.01/28.19 New rule produced :
% 28.01/28.19 [838] implies(truth,ifeq2(A,A,true,B)) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 2
% 28.01/28.19 Current number of rules: 834
% 28.01/28.19 New rule produced :
% 28.01/28.19 [839] implies(ifeq2(A,A,truth,B),true) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 1
% 28.01/28.19 Current number of rules: 835
% 28.01/28.19 New rule produced :
% 28.01/28.19 [840] ifeq2(A,A,implies(truth,true),B) <-> ordered(x,implies(truth,y))
% 28.01/28.19 Current number of equations to process: 3712
% 28.01/28.19 Current number of ordered equations: 0
% 28.01/28.19 Current number of rules: 836
% 28.01/28.19 New rule produced :
% 28.01/28.19 [841]
% 28.01/28.19 implies(ordered(x,implies(truth,y)),true) <->
% 28.01/28.19 implies(implies(true,truth),truth)
% 28.01/28.19 Current number of equations to process: 3711
% 28.01/28.19 Current number of ordered equations: 1
% 28.01/28.19 Current number of rules: 837
% 28.01/28.19 New rule produced :
% 28.01/28.19 [842]
% 28.01/28.19 implies(implies(true,truth),truth) <->
% 28.01/28.19 implies(ordered(x,implies(truth,y)),true)
% 28.01/28.19 Current number of equations to process: 3711
% 28.01/28.19 Current number of ordered equations: 0
% 28.01/28.19 Current number of rules: 838
% 28.01/28.19 New rule produced :
% 28.01/28.19 [843]
% 28.01/28.19 ordered(x,implies(truth,y)) <-> implies(truth,ordered(implies(truth,x),y))
% 28.01/28.19 Current number of equations to process: 3710
% 28.32/28.51 Current number of ordered equations: 1
% 28.32/28.51 Current number of rules: 839
% 28.32/28.51 New rule produced :
% 28.32/28.51 [844]
% 28.32/28.51 implies(truth,ordered(implies(truth,x),y)) <-> ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3710
% 28.32/28.51 Current number of ordered equations: 0
% 28.32/28.51 Current number of rules: 840
% 28.32/28.51 New rule produced :
% 28.32/28.51 [845]
% 28.32/28.51 ordered(x,implies(truth,y)) <-> implies(truth,implies(truth,ordered(x,y)))
% 28.32/28.51 Current number of equations to process: 3709
% 28.32/28.51 Current number of ordered equations: 1
% 28.32/28.51 Current number of rules: 841
% 28.32/28.51 New rule produced :
% 28.32/28.51 [846]
% 28.32/28.51 implies(truth,implies(truth,ordered(x,y))) <-> ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3709
% 28.32/28.51 Current number of ordered equations: 0
% 28.32/28.51 Current number of rules: 842
% 28.32/28.51 New rule produced :
% 28.32/28.51 [847] (eq)(true,implies(truth,ordered(x,implies(truth,y)))) -> (true)
% 28.32/28.51 Current number of equations to process: 3708
% 28.32/28.51 Current number of ordered equations: 0
% 28.32/28.51 Current number of rules: 843
% 28.32/28.51 New rule produced :
% 28.32/28.51 [848]
% 28.32/28.51 ordered(x,implies(truth,y)) <->
% 28.32/28.51 implies(truth,implies(truth,implies(truth,true)))
% 28.32/28.51 Current number of equations to process: 3706
% 28.32/28.51 Current number of ordered equations: 3
% 28.32/28.51 Current number of rules: 844
% 28.32/28.51 New rule produced :
% 28.32/28.51 [849]
% 28.32/28.51 ordered(x,implies(truth,y)) <->
% 28.32/28.51 implies(implies(truth,implies(truth,truth)),true)
% 28.32/28.51 Current number of equations to process: 3706
% 28.32/28.51 Current number of ordered equations: 2
% 28.32/28.51 Current number of rules: 845
% 28.32/28.51 New rule produced :
% 28.32/28.51 [850]
% 28.32/28.51 implies(truth,implies(truth,implies(truth,true))) <->
% 28.32/28.51 ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3706
% 28.32/28.51 Current number of ordered equations: 1
% 28.32/28.51 Current number of rules: 846
% 28.32/28.51 New rule produced :
% 28.32/28.51 [851]
% 28.32/28.51 implies(implies(truth,implies(truth,truth)),true) <->
% 28.32/28.51 ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3706
% 28.32/28.51 Current number of ordered equations: 0
% 28.32/28.51 Current number of rules: 847
% 28.32/28.51 New rule produced :
% 28.32/28.51 [852]
% 28.32/28.51 ordered(x,implies(truth,y)) <->
% 28.32/28.51 implies(truth,implies(implies(truth,truth),true))
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 5
% 28.32/28.51 Current number of rules: 848
% 28.32/28.51 New rule produced :
% 28.32/28.51 [853]
% 28.32/28.51 ordered(x,implies(truth,y)) <->
% 28.32/28.51 implies(implies(truth,truth),implies(truth,true))
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 4
% 28.32/28.51 Current number of rules: 849
% 28.32/28.51 New rule produced :
% 28.32/28.51 [854]
% 28.32/28.51 ordered(x,implies(truth,y)) <->
% 28.32/28.51 implies(implies(implies(truth,truth),truth),true)
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 3
% 28.32/28.51 Current number of rules: 850
% 28.32/28.51 New rule produced :
% 28.32/28.51 [855]
% 28.32/28.51 implies(truth,implies(implies(truth,truth),true)) <->
% 28.32/28.51 ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 2
% 28.32/28.51 Current number of rules: 851
% 28.32/28.51 New rule produced :
% 28.32/28.51 [856]
% 28.32/28.51 implies(implies(truth,truth),implies(truth,true)) <->
% 28.32/28.51 ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 1
% 28.32/28.51 Current number of rules: 852
% 28.32/28.51 New rule produced :
% 28.32/28.51 [857]
% 28.32/28.51 implies(implies(implies(truth,truth),truth),true) <->
% 28.32/28.51 ordered(x,implies(truth,y))
% 28.32/28.51 Current number of equations to process: 3703
% 28.32/28.51 Current number of ordered equations: 0
% 28.32/28.51 Current number of rules: 853
% 28.32/28.51 New rule produced :
% 28.32/28.51 [858] ordered(implies(truth,x),y) <-> implies(truth,ifeq(A,A,true,B))
% 28.32/28.51 Current number of equations to process: 3700
% 28.32/28.51 Current number of ordered equations: 5
% 28.32/28.51 Current number of rules: 854
% 28.32/28.51 New rule produced :
% 28.32/28.51 [859] ordered(implies(truth,x),y) <-> implies(ifeq(A,A,truth,B),true)
% 28.32/28.51 Current number of equations to process: 3700
% 28.32/28.51 Current number of ordered equations: 4
% 28.32/28.51 Current number of rules: 855
% 28.32/28.51 New rule produced :
% 28.32/28.51 [860] ordered(implies(truth,x),y) <-> ifeq(A,A,implies(truth,true),B)
% 28.32/28.51 Current number of equations to process: 3700
% 28.32/28.51 Current number of ordered equations: 3
% 28.32/28.51 Current number of rules: 856
% 28.32/28.51 New rule produced :
% 28.32/28.51 [861] implies(truth,ifeq(A,A,true,B)) <-> ordered(implies(truth,x),y)
% 28.32/28.51 Current number of equations to process: 3700
% 28.32/28.51 Current number of ordered equations: 2
% 28.32/28.51 Current number of rules: 857
% 28.32/28.51 New rule produced :
% 28.32/28.51 [862] implies(ifeq(A,A,truth,B),true) <-> ordered(implies(truth,x),y)
% 28.32/28.51 Current number of equations to process: 3700
% 28.32/28.51 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 858
% 28.70/28.85 New rule produced :
% 28.70/28.85 [863] ifeq(A,A,implies(truth,true),B) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3700
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 859
% 28.70/28.85 New rule produced :
% 28.70/28.85 [864] ordered(implies(truth,x),y) <-> implies(truth,ifeq2(A,A,true,B))
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 5
% 28.70/28.85 Current number of rules: 860
% 28.70/28.85 New rule produced :
% 28.70/28.85 [865] ordered(implies(truth,x),y) <-> implies(ifeq2(A,A,truth,B),true)
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 4
% 28.70/28.85 Current number of rules: 861
% 28.70/28.85 New rule produced :
% 28.70/28.85 [866] ordered(implies(truth,x),y) <-> ifeq2(A,A,implies(truth,true),B)
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 3
% 28.70/28.85 Current number of rules: 862
% 28.70/28.85 New rule produced :
% 28.70/28.85 [867] implies(truth,ifeq2(A,A,true,B)) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 2
% 28.70/28.85 Current number of rules: 863
% 28.70/28.85 New rule produced :
% 28.70/28.85 [868] implies(ifeq2(A,A,truth,B),true) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 864
% 28.70/28.85 New rule produced :
% 28.70/28.85 [869] ifeq2(A,A,implies(truth,true),B) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3697
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 865
% 28.70/28.85 New rule produced :
% 28.70/28.85 [870]
% 28.70/28.85 implies(ordered(implies(truth,x),y),true) <->
% 28.70/28.85 implies(implies(true,truth),truth)
% 28.70/28.85 Current number of equations to process: 3696
% 28.70/28.85 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 866
% 28.70/28.85 New rule produced :
% 28.70/28.85 [871]
% 28.70/28.85 implies(implies(true,truth),truth) <->
% 28.70/28.85 implies(ordered(implies(truth,x),y),true)
% 28.70/28.85 Current number of equations to process: 3696
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 867
% 28.70/28.85 New rule produced :
% 28.70/28.85 [872]
% 28.70/28.85 ordered(implies(truth,x),y) <-> implies(truth,ordered(x,implies(truth,y)))
% 28.70/28.85 Current number of equations to process: 3695
% 28.70/28.85 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 868
% 28.70/28.85 New rule produced :
% 28.70/28.85 [873]
% 28.70/28.85 implies(truth,ordered(x,implies(truth,y))) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3695
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 869
% 28.70/28.85 New rule produced :
% 28.70/28.85 [874]
% 28.70/28.85 ordered(implies(truth,x),y) <-> implies(truth,implies(truth,ordered(x,y)))
% 28.70/28.85 Current number of equations to process: 3694
% 28.70/28.85 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 870
% 28.70/28.85 New rule produced :
% 28.70/28.85 [875]
% 28.70/28.85 implies(truth,implies(truth,ordered(x,y))) <-> ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3694
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 871
% 28.70/28.85 New rule produced :
% 28.70/28.85 [876] (eq)(true,implies(truth,ordered(implies(truth,x),y))) -> (true)
% 28.70/28.85 Current number of equations to process: 3693
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 872
% 28.70/28.85 New rule produced :
% 28.70/28.85 [877]
% 28.70/28.85 ordered(implies(truth,x),y) <->
% 28.70/28.85 implies(truth,implies(truth,implies(truth,true)))
% 28.70/28.85 Current number of equations to process: 3691
% 28.70/28.85 Current number of ordered equations: 3
% 28.70/28.85 Current number of rules: 873
% 28.70/28.85 New rule produced :
% 28.70/28.85 [878]
% 28.70/28.85 ordered(implies(truth,x),y) <->
% 28.70/28.85 implies(implies(truth,implies(truth,truth)),true)
% 28.70/28.85 Current number of equations to process: 3691
% 28.70/28.85 Current number of ordered equations: 2
% 28.70/28.85 Current number of rules: 874
% 28.70/28.85 New rule produced :
% 28.70/28.85 [879]
% 28.70/28.85 implies(truth,implies(truth,implies(truth,true))) <->
% 28.70/28.85 ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3691
% 28.70/28.85 Current number of ordered equations: 1
% 28.70/28.85 Current number of rules: 875
% 28.70/28.85 New rule produced :
% 28.70/28.85 [880]
% 28.70/28.85 implies(implies(truth,implies(truth,truth)),true) <->
% 28.70/28.85 ordered(implies(truth,x),y)
% 28.70/28.85 Current number of equations to process: 3691
% 28.70/28.85 Current number of ordered equations: 0
% 28.70/28.85 Current number of rules: 876
% 28.70/28.85 New rule produced :
% 28.70/28.85 [881]
% 28.70/28.85 ordered(implies(truth,x),y) <->
% 28.70/28.85 implies(truth,implies(implies(truth,truth),true))
% 28.70/28.85 Current number of equations to process: 3688
% 28.70/28.85 Current number of ordered equations: 5
% 28.70/28.85 Current number of rules: 877
% 28.70/28.85 New rule produced :
% 28.99/29.13 [882]
% 28.99/29.13 ordered(implies(truth,x),y) <->
% 28.99/29.13 implies(implies(truth,truth),implies(truth,true))
% 28.99/29.13 Current number of equations to process: 3688
% 28.99/29.13 Current number of ordered equations: 4
% 28.99/29.13 Current number of rules: 878
% 28.99/29.13 New rule produced :
% 28.99/29.13 [883]
% 28.99/29.13 ordered(implies(truth,x),y) <->
% 28.99/29.13 implies(implies(implies(truth,truth),truth),true)
% 28.99/29.13 Current number of equations to process: 3688
% 28.99/29.13 Current number of ordered equations: 3
% 28.99/29.13 Current number of rules: 879
% 28.99/29.13 New rule produced :
% 28.99/29.13 [884]
% 28.99/29.13 implies(truth,implies(implies(truth,truth),true)) <->
% 28.99/29.13 ordered(implies(truth,x),y)
% 28.99/29.13 Current number of equations to process: 3688
% 28.99/29.13 Current number of ordered equations: 2
% 28.99/29.13 Current number of rules: 880
% 28.99/29.13 New rule produced :
% 28.99/29.13 [885]
% 28.99/29.13 implies(implies(truth,truth),implies(truth,true)) <->
% 28.99/29.13 ordered(implies(truth,x),y)
% 28.99/29.13 Current number of equations to process: 3688
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 881
% 28.99/29.13 New rule produced :
% 28.99/29.13 [886]
% 28.99/29.13 implies(implies(implies(truth,truth),truth),true) <->
% 28.99/29.13 ordered(implies(truth,x),y)
% 28.99/29.13 Current number of equations to process: 3688
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 882
% 28.99/29.13 New rule produced :
% 28.99/29.13 [887] implies(truth,truth) big_V B <-> ifeq(A,A,implies(B,B),C)
% 28.99/29.13 Current number of equations to process: 3687
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 883
% 28.99/29.13 New rule produced :
% 28.99/29.13 [888] ifeq(A,A,implies(B,B),C) <-> implies(truth,truth) big_V B
% 28.99/29.13 Current number of equations to process: 3687
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 884
% 28.99/29.13 New rule produced :
% 28.99/29.13 [889] ifeq2(A,A,implies(B,B),C) <-> implies(truth,truth) big_V B
% 28.99/29.13 Current number of equations to process: 3686
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 885
% 28.99/29.13 New rule produced :
% 28.99/29.13 [890] implies(truth,truth) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 28.99/29.13 Current number of equations to process: 3686
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 886
% 28.99/29.13 New rule produced :
% 28.99/29.13 [891] (eq)(truth,implies(truth,truth big_V implies(truth,truth))) -> (true)
% 28.99/29.13 Current number of equations to process: 3685
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 887
% 28.99/29.13 New rule produced :
% 28.99/29.13 [892]
% 28.99/29.13 implies(truth,truth) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 28.99/29.13 Current number of equations to process: 3684
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 888
% 28.99/29.13 New rule produced :
% 28.99/29.13 [893]
% 28.99/29.13 implies(truth,implies(truth,implies(A,A))) <-> implies(truth,truth) big_V A
% 28.99/29.13 Current number of equations to process: 3684
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 889
% 28.99/29.13 New rule produced :
% 28.99/29.13 [894]
% 28.99/29.13 implies(truth,truth) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 28.99/29.13 Current number of equations to process: 3683
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 890
% 28.99/29.13 New rule produced :
% 28.99/29.13 [895]
% 28.99/29.13 implies(implies(truth,truth),implies(A,A)) <-> implies(truth,truth) big_V A
% 28.99/29.13 Current number of equations to process: 3683
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 891
% 28.99/29.13 New rule produced :
% 28.99/29.13 [896] implies(truth,truth big_V B) <-> ifeq(A,A,implies(B,B),C)
% 28.99/29.13 Current number of equations to process: 3682
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 892
% 28.99/29.13 New rule produced :
% 28.99/29.13 [897] ifeq(A,A,implies(B,B),C) <-> implies(truth,truth big_V B)
% 28.99/29.13 Current number of equations to process: 3682
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 893
% 28.99/29.13 New rule produced :
% 28.99/29.13 [898] ifeq2(A,A,implies(B,B),C) <-> implies(truth,truth big_V B)
% 28.99/29.13 Current number of equations to process: 3681
% 28.99/29.13 Current number of ordered equations: 1
% 28.99/29.13 Current number of rules: 894
% 28.99/29.13 New rule produced :
% 28.99/29.13 [899] implies(truth,truth big_V B) <-> ifeq2(A,A,implies(B,B),C)
% 28.99/29.13 Current number of equations to process: 3681
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 895
% 28.99/29.13 New rule produced :
% 28.99/29.13 [900] (eq)(truth,implies(truth,implies(truth,truth big_V truth))) -> (true)
% 28.99/29.13 Current number of equations to process: 3680
% 28.99/29.13 Current number of ordered equations: 0
% 28.99/29.13 Current number of rules: 896
% 28.99/29.13 New rule produced :
% 28.99/29.13 [901]
% 28.99/29.13 implies(truth,truth big_V A) <-> implies(implies(truth,truth),implies(A,A))
% 28.99/29.13 Current number of equations to process: 3679
% 28.99/29.13 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 897
% 29.21/29.43 New rule produced :
% 29.21/29.43 [902]
% 29.21/29.43 implies(implies(truth,truth),implies(A,A)) <-> implies(truth,truth big_V A)
% 29.21/29.43 Current number of equations to process: 3679
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 898
% 29.21/29.43 New rule produced :
% 29.21/29.43 [903] truth big_V (truth big_V A) <-> implies(implies(A,A),truth big_V A)
% 29.21/29.43 Current number of equations to process: 3678
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 899
% 29.21/29.43 New rule produced :
% 29.21/29.43 [904] implies(implies(A,A),truth big_V A) <-> truth big_V (truth big_V A)
% 29.21/29.43 Current number of equations to process: 3678
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 900
% 29.21/29.43 New rule produced :
% 29.21/29.43 [905] (eq)(truth big_V A,implies(truth,implies(A,A))) -> (true)
% 29.21/29.43 Current number of equations to process: 3677
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 901
% 29.21/29.43 New rule produced :
% 29.21/29.43 [906] implies(truth,implies(B,B)) <-> ifeq(A,A,truth big_V B,C)
% 29.21/29.43 Current number of equations to process: 3675
% 29.21/29.43 Current number of ordered equations: 3
% 29.21/29.43 Current number of rules: 902
% 29.21/29.43 New rule produced :
% 29.21/29.43 [907] implies(truth,implies(C,C)) <-> ifeq(A,A,truth,B) big_V C
% 29.21/29.43 Current number of equations to process: 3675
% 29.21/29.43 Current number of ordered equations: 2
% 29.21/29.43 Current number of rules: 903
% 29.21/29.43 New rule produced :
% 29.21/29.43 [908] ifeq(A,A,truth,B) big_V C <-> implies(truth,implies(C,C))
% 29.21/29.43 Current number of equations to process: 3675
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 904
% 29.21/29.43 New rule produced :
% 29.21/29.43 [909] ifeq(A,A,truth big_V B,C) <-> implies(truth,implies(B,B))
% 29.21/29.43 Current number of equations to process: 3675
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 905
% 29.21/29.43 New rule produced :
% 29.21/29.43 [910] ifeq2(A,A,truth big_V B,C) <-> implies(truth,implies(B,B))
% 29.21/29.43 Current number of equations to process: 3673
% 29.21/29.43 Current number of ordered equations: 3
% 29.21/29.43 Current number of rules: 906
% 29.21/29.43 New rule produced :
% 29.21/29.43 [911] implies(truth,implies(B,B)) <-> ifeq2(A,A,truth big_V B,C)
% 29.21/29.43 Current number of equations to process: 3673
% 29.21/29.43 Current number of ordered equations: 2
% 29.21/29.43 Current number of rules: 907
% 29.21/29.43 New rule produced :
% 29.21/29.43 [912] implies(truth,implies(C,C)) <-> ifeq2(A,A,truth,B) big_V C
% 29.21/29.43 Current number of equations to process: 3673
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 908
% 29.21/29.43 New rule produced :
% 29.21/29.43 [913] ifeq2(A,A,truth,B) big_V C <-> implies(truth,implies(C,C))
% 29.21/29.43 Current number of equations to process: 3673
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 909
% 29.21/29.43 New rule produced :
% 29.21/29.43 [914]
% 29.21/29.43 implies(truth,implies(truth,truth)) big_V A <-> implies(truth,implies(A,A))
% 29.21/29.43 Current number of equations to process: 3672
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 910
% 29.21/29.43 New rule produced :
% 29.21/29.43 [915]
% 29.21/29.43 implies(truth,implies(A,A)) <-> implies(truth,implies(truth,truth)) big_V A
% 29.21/29.43 Current number of equations to process: 3672
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 911
% 29.21/29.43 New rule produced :
% 29.21/29.43 [916]
% 29.21/29.43 implies(truth,implies(A,A)) <-> implies(implies(truth,truth),truth big_V A)
% 29.21/29.43 Current number of equations to process: 3670
% 29.21/29.43 Current number of ordered equations: 3
% 29.21/29.43 Current number of rules: 912
% 29.21/29.43 New rule produced :
% 29.21/29.43 [917]
% 29.21/29.43 implies(truth,implies(A,A)) <-> implies(implies(truth,truth),truth) big_V A
% 29.21/29.43 Current number of equations to process: 3670
% 29.21/29.43 Current number of ordered equations: 2
% 29.21/29.43 Current number of rules: 913
% 29.21/29.43 New rule produced :
% 29.21/29.43 [918]
% 29.21/29.43 implies(implies(truth,truth),truth big_V A) <-> implies(truth,implies(A,A))
% 29.21/29.43 Current number of equations to process: 3670
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 914
% 29.21/29.43 New rule produced :
% 29.21/29.43 [919]
% 29.21/29.43 implies(implies(truth,truth),truth) big_V A <-> implies(truth,implies(A,A))
% 29.21/29.43 Current number of equations to process: 3670
% 29.21/29.43 Current number of ordered equations: 0
% 29.21/29.43 Current number of rules: 915
% 29.21/29.43 New rule produced :
% 29.21/29.43 [920] truth big_V implies(A,A) <-> implies(truth big_V A,implies(A,A))
% 29.21/29.43 Current number of equations to process: 3669
% 29.21/29.43 Current number of ordered equations: 1
% 29.21/29.43 Current number of rules: 916
% 29.21/29.43 New rule produced :
% 29.21/29.43 [921] implies(truth big_V A,implies(A,A)) <-> truth big_V implies(A,A)
% 29.21/29.43 Current number of equations to process: 3669
% 29.65/29.81 Current number of ordered equations: 0
% 29.65/29.81 Current number of rules: 917
% 29.65/29.81 New rule produced :
% 29.65/29.81 [922] (eq)(implies(A,A),implies(truth,truth big_V A)) -> (true)
% 29.65/29.81 Current number of equations to process: 3668
% 29.65/29.81 Current number of ordered equations: 0
% 29.65/29.81 Current number of rules: 918
% 29.65/29.81 New rule produced :
% 29.65/29.81 [923] ordered(x,ifeq(A,A,y,B)) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 5
% 29.65/29.81 Current number of rules: 919
% 29.65/29.81 New rule produced :
% 29.65/29.81 [924] ordered(ifeq(A,A,x,B),y) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 4
% 29.65/29.81 Current number of rules: 920
% 29.65/29.81 New rule produced :
% 29.65/29.81 [925] implies(truth,implies(truth,true)) <-> ordered(x,ifeq(A,A,y,B))
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 3
% 29.65/29.81 Current number of rules: 921
% 29.65/29.81 New rule produced :
% 29.65/29.81 [926] implies(truth,implies(truth,true)) <-> ordered(ifeq(A,A,x,B),y)
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 2
% 29.65/29.81 Current number of rules: 922
% 29.65/29.81 New rule produced :
% 29.65/29.81 [927] implies(truth,implies(truth,true)) <-> ifeq(A,A,ordered(x,y),B)
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 1
% 29.65/29.81 Current number of rules: 923
% 29.65/29.81 New rule produced :
% 29.65/29.81 [928] ifeq(A,A,ordered(x,y),B) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3665
% 29.65/29.81 Current number of ordered equations: 0
% 29.65/29.81 Current number of rules: 924
% 29.65/29.81 New rule produced :
% 29.65/29.81 [929] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 5
% 29.65/29.81 Current number of rules: 925
% 29.65/29.81 New rule produced :
% 29.65/29.81 [930] ordered(ifeq2(A,A,x,B),y) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 4
% 29.65/29.81 Current number of rules: 926
% 29.65/29.81 New rule produced :
% 29.65/29.81 [931] implies(truth,implies(truth,true)) <-> ordered(x,ifeq2(A,A,y,B))
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 3
% 29.65/29.81 Current number of rules: 927
% 29.65/29.81 New rule produced :
% 29.65/29.81 [932] implies(truth,implies(truth,true)) <-> ordered(ifeq2(A,A,x,B),y)
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 2
% 29.65/29.81 Current number of rules: 928
% 29.65/29.81 New rule produced :
% 29.65/29.81 [933] implies(truth,implies(truth,true)) <-> ifeq2(A,A,ordered(x,y),B)
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 1
% 29.65/29.81 Current number of rules: 929
% 29.65/29.81 New rule produced :
% 29.65/29.81 [934] ifeq2(A,A,ordered(x,y),B) <-> implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3662
% 29.65/29.81 Current number of ordered equations: 0
% 29.65/29.81 Current number of rules: 930
% 29.65/29.81 New rule produced :
% 29.65/29.81 [935]
% 29.65/29.81 ordered(x,implies(truth,implies(truth,y))) <->
% 29.65/29.81 implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3660
% 29.65/29.81 Current number of ordered equations: 3
% 29.65/29.81 Current number of rules: 931
% 29.65/29.81 New rule produced :
% 29.65/29.81 [936]
% 29.65/29.81 ordered(implies(truth,implies(truth,x)),y) <->
% 29.65/29.81 implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3660
% 29.65/29.81 Current number of ordered equations: 2
% 29.65/29.81 Current number of rules: 932
% 29.65/29.81 New rule produced :
% 29.65/29.81 [937]
% 29.65/29.81 implies(truth,implies(truth,true)) <->
% 29.65/29.81 ordered(x,implies(truth,implies(truth,y)))
% 29.65/29.81 Current number of equations to process: 3660
% 29.65/29.81 Current number of ordered equations: 1
% 29.65/29.81 Current number of rules: 933
% 29.65/29.81 New rule produced :
% 29.65/29.81 [938]
% 29.65/29.81 implies(truth,implies(truth,true)) <->
% 29.65/29.81 ordered(implies(truth,implies(truth,x)),y)
% 29.65/29.81 Current number of equations to process: 3660
% 29.65/29.81 Current number of ordered equations: 0
% 29.65/29.81 Current number of rules: 934
% 29.65/29.81 New rule produced :
% 29.65/29.81 [939]
% 29.65/29.81 ordered(x,implies(implies(truth,truth),y)) <->
% 29.65/29.81 implies(truth,implies(truth,true))
% 29.65/29.81 Current number of equations to process: 3657
% 29.65/29.81 Current number of ordered equations: 5
% 29.65/29.81 Current number of rules: 935
% 29.65/29.81 New rule produced :
% 29.65/29.81 [940]
% 29.65/29.81 implies(truth,implies(truth,true)) <->
% 29.65/29.81 ordered(x,implies(implies(truth,truth),y))
% 29.65/29.81 Current number of equations to process: 3657
% 29.65/29.81 Current number of ordered equations: 4
% 29.65/29.81 Current number of rules: 936
% 29.65/29.81 New rule produced :
% 29.65/29.81 [941]
% 29.65/29.81 implies(truth,implies(truth,true)) <->
% 30.03/30.18 implies(implies(truth,truth),ordered(x,y))
% 30.03/30.18 Current number of equations to process: 3657
% 30.03/30.18 Current number of ordered equations: 3
% 30.03/30.18 Current number of rules: 937
% 30.03/30.18 New rule produced :
% 30.03/30.18 [942]
% 30.03/30.18 implies(truth,implies(truth,true)) <->
% 30.03/30.18 ordered(implies(implies(truth,truth),x),y)
% 30.03/30.18 Current number of equations to process: 3657
% 30.03/30.18 Current number of ordered equations: 2
% 30.03/30.18 Current number of rules: 938
% 30.03/30.18 New rule produced :
% 30.03/30.18 [943]
% 30.03/30.18 implies(implies(truth,truth),ordered(x,y)) <->
% 30.03/30.18 implies(truth,implies(truth,true))
% 30.03/30.18 Current number of equations to process: 3657
% 30.03/30.18 Current number of ordered equations: 1
% 30.03/30.18 Current number of rules: 939
% 30.03/30.18 New rule produced :
% 30.03/30.18 [944]
% 30.03/30.18 ordered(implies(implies(truth,truth),x),y) <->
% 30.03/30.18 implies(truth,implies(truth,true))
% 30.03/30.18 Current number of equations to process: 3657
% 30.03/30.18 Current number of ordered equations: 0
% 30.03/30.18 Current number of rules: 940
% 30.03/30.18 New rule produced :
% 30.03/30.18 [945] ordered(x,ifeq(A,A,y,B)) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 5
% 30.03/30.18 Current number of rules: 941
% 30.03/30.18 New rule produced :
% 30.03/30.18 [946] ordered(ifeq(A,A,x,B),y) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 4
% 30.03/30.18 Current number of rules: 942
% 30.03/30.18 New rule produced :
% 30.03/30.18 [947] implies(implies(truth,truth),true) <-> ordered(x,ifeq(A,A,y,B))
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 3
% 30.03/30.18 Current number of rules: 943
% 30.03/30.18 New rule produced :
% 30.03/30.18 [948] implies(implies(truth,truth),true) <-> ordered(ifeq(A,A,x,B),y)
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 2
% 30.03/30.18 Current number of rules: 944
% 30.03/30.18 New rule produced :
% 30.03/30.18 [949] implies(implies(truth,truth),true) <-> ifeq(A,A,ordered(x,y),B)
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 1
% 30.03/30.18 Current number of rules: 945
% 30.03/30.18 New rule produced :
% 30.03/30.18 [950] ifeq(A,A,ordered(x,y),B) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3654
% 30.03/30.18 Current number of ordered equations: 0
% 30.03/30.18 Current number of rules: 946
% 30.03/30.18 New rule produced :
% 30.03/30.18 [951] ordered(x,ifeq2(A,A,y,B)) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 5
% 30.03/30.18 Current number of rules: 947
% 30.03/30.18 New rule produced :
% 30.03/30.18 [952] ordered(ifeq2(A,A,x,B),y) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 4
% 30.03/30.18 Current number of rules: 948
% 30.03/30.18 New rule produced :
% 30.03/30.18 [953] implies(implies(truth,truth),true) <-> ordered(x,ifeq2(A,A,y,B))
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 3
% 30.03/30.18 Current number of rules: 949
% 30.03/30.18 New rule produced :
% 30.03/30.18 [954] implies(implies(truth,truth),true) <-> ordered(ifeq2(A,A,x,B),y)
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 2
% 30.03/30.18 Current number of rules: 950
% 30.03/30.18 New rule produced :
% 30.03/30.18 [955] implies(implies(truth,truth),true) <-> ifeq2(A,A,ordered(x,y),B)
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 1
% 30.03/30.18 Current number of rules: 951
% 30.03/30.18 New rule produced :
% 30.03/30.18 [956] ifeq2(A,A,ordered(x,y),B) <-> implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3651
% 30.03/30.18 Current number of ordered equations: 0
% 30.03/30.18 Current number of rules: 952
% 30.03/30.18 New rule produced :
% 30.03/30.18 [957]
% 30.03/30.18 ordered(x,implies(truth,implies(truth,y))) <->
% 30.03/30.18 implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3648
% 30.03/30.18 Current number of ordered equations: 5
% 30.03/30.18 Current number of rules: 953
% 30.03/30.18 New rule produced :
% 30.03/30.18 [958]
% 30.03/30.18 ordered(implies(truth,implies(truth,x)),y) <->
% 30.03/30.18 implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3648
% 30.03/30.18 Current number of ordered equations: 4
% 30.03/30.18 Current number of rules: 954
% 30.03/30.18 New rule produced :
% 30.03/30.18 [959]
% 30.03/30.18 implies(truth,implies(truth,ordered(x,y))) <->
% 30.03/30.18 implies(implies(truth,truth),true)
% 30.03/30.18 Current number of equations to process: 3648
% 30.03/30.18 Current number of ordered equations: 3
% 30.03/30.18 Current number of rules: 955
% 30.03/30.18 New rule produced :
% 30.03/30.18 [960]
% 30.03/30.18 implies(implies(truth,truth),true) <->
% 30.03/30.18 ordered(x,implies(truth,implies(truth,y)))
% 30.03/30.18 Current number of equations to process: 3648
% 30.03/30.18 Current number of ordered equations: 2
% 30.32/30.51 Current number of rules: 956
% 30.32/30.51 New rule produced :
% 30.32/30.51 [961]
% 30.32/30.51 implies(implies(truth,truth),true) <->
% 30.32/30.51 ordered(implies(truth,implies(truth,x)),y)
% 30.32/30.51 Current number of equations to process: 3648
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 957
% 30.32/30.51 New rule produced :
% 30.32/30.51 [962]
% 30.32/30.51 implies(implies(truth,truth),true) <->
% 30.32/30.51 implies(truth,implies(truth,ordered(x,y)))
% 30.32/30.51 Current number of equations to process: 3648
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 958
% 30.32/30.51 New rule produced :
% 30.32/30.51 [963]
% 30.32/30.51 ordered(x,implies(implies(truth,truth),y)) <->
% 30.32/30.51 implies(implies(truth,truth),true)
% 30.32/30.51 Current number of equations to process: 3646
% 30.32/30.51 Current number of ordered equations: 3
% 30.32/30.51 Current number of rules: 959
% 30.32/30.51 New rule produced :
% 30.32/30.51 [964]
% 30.32/30.51 implies(implies(truth,truth),true) <->
% 30.32/30.51 ordered(x,implies(implies(truth,truth),y))
% 30.32/30.51 Current number of equations to process: 3646
% 30.32/30.51 Current number of ordered equations: 2
% 30.32/30.51 Current number of rules: 960
% 30.32/30.51 New rule produced :
% 30.32/30.51 [965]
% 30.32/30.51 implies(implies(truth,truth),true) <->
% 30.32/30.51 ordered(implies(implies(truth,truth),x),y)
% 30.32/30.51 Current number of equations to process: 3646
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 961
% 30.32/30.51 New rule produced :
% 30.32/30.51 [966]
% 30.32/30.51 ordered(implies(implies(truth,truth),x),y) <->
% 30.32/30.51 implies(implies(truth,truth),true)
% 30.32/30.51 Current number of equations to process: 3646
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 962
% 30.32/30.51 New rule produced :
% 30.32/30.51 [967]
% 30.32/30.51 truth big_V implies(truth,true) <-> implies(ordered(x,y),implies(truth,true))
% 30.32/30.51 Current number of equations to process: 3645
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 963
% 30.32/30.51 New rule produced :
% 30.32/30.51 [968]
% 30.32/30.51 implies(ordered(x,y),implies(truth,true)) <-> truth big_V implies(truth,true)
% 30.32/30.51 Current number of equations to process: 3645
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 964
% 30.32/30.51 New rule produced :
% 30.32/30.51 [969] (eq)(implies(truth,true),implies(truth,ordered(x,y))) -> (true)
% 30.32/30.51 Current number of equations to process: 3644
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 965
% 30.32/30.51 New rule produced : [970] implies(ifeq(A,A,truth,B),C) <-> ifeq(X,X,C,Y)
% 30.32/30.51 Current number of equations to process: 3642
% 30.32/30.51 Current number of ordered equations: 3
% 30.32/30.51 Current number of rules: 966
% 30.32/30.51 New rule produced : [971] ifeq(X,X,B,Y) <-> ifeq(A,A,implies(truth,B),C)
% 30.32/30.51 Current number of equations to process: 3642
% 30.32/30.51 Current number of ordered equations: 2
% 30.32/30.51 Current number of rules: 967
% 30.32/30.51 New rule produced : [972] ifeq(X,X,C,Y) <-> implies(ifeq(A,A,truth,B),C)
% 30.32/30.51 Current number of equations to process: 3642
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 968
% 30.32/30.51 New rule produced : [973] ifeq(A,A,implies(truth,B),C) <-> ifeq(X,X,B,Y)
% 30.32/30.51 Current number of equations to process: 3642
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 969
% 30.32/30.51 New rule produced : [974] implies(ifeq2(A,A,truth,B),C) <-> ifeq(X,X,C,Y)
% 30.32/30.51 Current number of equations to process: 3640
% 30.32/30.51 Current number of ordered equations: 3
% 30.32/30.51 Current number of rules: 970
% 30.32/30.51 New rule produced : [975] ifeq(X,X,B,Y) <-> ifeq2(A,A,implies(truth,B),C)
% 30.32/30.51 Current number of equations to process: 3640
% 30.32/30.51 Current number of ordered equations: 2
% 30.32/30.51 Current number of rules: 971
% 30.32/30.51 New rule produced : [976] ifeq(X,X,C,Y) <-> implies(ifeq2(A,A,truth,B),C)
% 30.32/30.51 Current number of equations to process: 3640
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 972
% 30.32/30.51 New rule produced : [977] ifeq2(A,A,implies(truth,B),C) <-> ifeq(X,X,B,Y)
% 30.32/30.51 Current number of equations to process: 3640
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 973
% 30.32/30.51 New rule produced :
% 30.32/30.51 [978] implies(ifeq(A,A,B,C),B) <-> implies(implies(B,truth),truth)
% 30.32/30.51 Current number of equations to process: 3639
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 974
% 30.32/30.51 New rule produced :
% 30.32/30.51 [979] implies(implies(B,truth),truth) <-> implies(ifeq(A,A,B,C),B)
% 30.32/30.51 Current number of equations to process: 3639
% 30.32/30.51 Current number of ordered equations: 0
% 30.32/30.51 Current number of rules: 975
% 30.32/30.51 New rule produced : [980] (eq)(A,implies(truth,ifeq(B,B,A,C))) -> (true)
% 30.32/30.51 Current number of equations to process: 3637
% 30.32/30.51 Current number of ordered equations: 1
% 30.32/30.51 Current number of rules: 976
% 30.77/30.90 New rule produced : [981] (eq)(A,ifeq(B,B,implies(truth,A),C)) -> (true)
% 30.77/30.90 Current number of equations to process: 3637
% 30.77/30.90 Current number of ordered equations: 0
% 30.77/30.90 Current number of rules: 977
% 30.77/30.90 New rule produced :
% 30.77/30.90 [982] ifeq(B,B,A,C) <-> implies(truth,implies(truth,implies(truth,A)))
% 30.77/30.90 Current number of equations to process: 3635
% 30.77/30.90 Current number of ordered equations: 3
% 30.77/30.90 Current number of rules: 978
% 30.77/30.90 New rule produced :
% 30.77/30.90 [983] ifeq(B,B,A,C) <-> implies(implies(truth,implies(truth,truth)),A)
% 30.77/30.90 Current number of equations to process: 3635
% 30.77/30.90 Current number of ordered equations: 2
% 30.77/30.90 Current number of rules: 979
% 30.77/30.90 New rule produced :
% 30.77/30.90 [984] implies(truth,implies(truth,implies(truth,A))) <-> ifeq(B,B,A,C)
% 30.77/30.90 Current number of equations to process: 3635
% 30.77/30.90 Current number of ordered equations: 1
% 30.77/30.90 Current number of rules: 980
% 30.77/30.90 New rule produced :
% 30.77/30.90 [985] implies(implies(truth,implies(truth,truth)),A) <-> ifeq(B,B,A,C)
% 30.77/30.90 Current number of equations to process: 3635
% 30.77/30.90 Current number of ordered equations: 0
% 30.77/30.90 Current number of rules: 981
% 30.77/30.90 New rule produced :
% 30.77/30.90 [986] ifeq(B,B,A,C) <-> implies(implies(truth,truth),implies(truth,A))
% 30.77/30.90 Current number of equations to process: 3633
% 30.77/30.90 Current number of ordered equations: 3
% 30.77/30.90 Current number of rules: 982
% 30.77/30.90 New rule produced :
% 30.77/30.90 [987] ifeq(B,B,A,C) <-> implies(implies(implies(truth,truth),truth),A)
% 30.77/30.90 Current number of equations to process: 3633
% 30.77/30.90 Current number of ordered equations: 2
% 30.77/30.90 Current number of rules: 983
% 30.77/30.90 New rule produced :
% 30.77/30.90 [988] implies(implies(truth,truth),implies(truth,A)) <-> ifeq(B,B,A,C)
% 30.77/30.90 Current number of equations to process: 3633
% 30.77/30.90 Current number of ordered equations: 1
% 30.77/30.90 Current number of rules: 984
% 30.77/30.90 New rule produced :
% 30.77/30.90 [989] implies(implies(implies(truth,truth),truth),A) <-> ifeq(B,B,A,C)
% 30.77/30.90 Current number of equations to process: 3633
% 30.77/30.90 Current number of ordered equations: 0
% 30.77/30.90 Current number of rules: 985
% 30.77/30.90 New rule produced : [990] ordered(x,ifeq(A,A,y,B)) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 5
% 30.77/30.90 Current number of rules: 986
% 30.77/30.90 New rule produced : [991] ordered(ifeq(A,A,x,B),y) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 4
% 30.77/30.90 Current number of rules: 987
% 30.77/30.90 New rule produced : [992] ifeq(C,C,true,X) <-> ordered(x,ifeq(A,A,y,B))
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 3
% 30.77/30.90 Current number of rules: 988
% 30.77/30.90 New rule produced : [993] ifeq(C,C,true,X) <-> ordered(ifeq(A,A,x,B),y)
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 2
% 30.77/30.90 Current number of rules: 989
% 30.77/30.90 New rule produced : [994] ifeq(C,C,true,X) <-> ifeq(A,A,ordered(x,y),B)
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 1
% 30.77/30.90 Current number of rules: 990
% 30.77/30.90 New rule produced : [995] ifeq(A,A,ordered(x,y),B) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3630
% 30.77/30.90 Current number of ordered equations: 0
% 30.77/30.90 Current number of rules: 991
% 30.77/30.90 New rule produced : [996] ordered(x,ifeq2(A,A,y,B)) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 5
% 30.77/30.90 Current number of rules: 992
% 30.77/30.90 New rule produced : [997] ordered(ifeq2(A,A,x,B),y) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 4
% 30.77/30.90 Current number of rules: 993
% 30.77/30.90 New rule produced : [998] ifeq(C,C,true,X) <-> ordered(x,ifeq2(A,A,y,B))
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 3
% 30.77/30.90 Current number of rules: 994
% 30.77/30.90 New rule produced : [999] ifeq(C,C,true,X) <-> ordered(ifeq2(A,A,x,B),y)
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 2
% 30.77/30.90 Current number of rules: 995
% 30.77/30.90 New rule produced : [1000] ifeq(C,C,true,X) <-> ifeq2(A,A,ordered(x,y),B)
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 1
% 30.77/30.90 Current number of rules: 996
% 30.77/30.90 New rule produced : [1001] ifeq2(A,A,ordered(x,y),B) <-> ifeq(C,C,true,X)
% 30.77/30.90 Current number of equations to process: 3627
% 30.77/30.90 Current number of ordered equations: 0
% 30.77/30.90 Current number of rules: 997
% 30.77/30.90 New rule produced :
% 30.77/30.90 [1002] ordered(x,implies(truth,implies(truth,y))) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 5
% 31.14/31.27 Current number of rules: 998
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1003] ordered(implies(truth,implies(truth,x)),y) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 4
% 31.14/31.27 Current number of rules: 999
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1004] implies(truth,implies(truth,ordered(x,y))) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 3
% 31.14/31.27 Current number of rules: 1000
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1005] ifeq(A,A,true,B) <-> ordered(x,implies(truth,implies(truth,y)))
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 2
% 31.14/31.27 Current number of rules: 1001
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1006] ifeq(A,A,true,B) <-> ordered(implies(truth,implies(truth,x)),y)
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 1
% 31.14/31.27 Current number of rules: 1002
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1007] ifeq(A,A,true,B) <-> implies(truth,implies(truth,ordered(x,y)))
% 31.14/31.27 Current number of equations to process: 3624
% 31.14/31.27 Current number of ordered equations: 0
% 31.14/31.27 Current number of rules: 1003
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1008] ordered(x,implies(implies(truth,truth),y)) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 5
% 31.14/31.27 Current number of rules: 1004
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1009] implies(implies(truth,truth),ordered(x,y)) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 4
% 31.14/31.27 Current number of rules: 1005
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1010] ordered(implies(implies(truth,truth),x),y) <-> ifeq(A,A,true,B)
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 3
% 31.14/31.27 Current number of rules: 1006
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1011] ifeq(A,A,true,B) <-> ordered(x,implies(implies(truth,truth),y))
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 2
% 31.14/31.27 Current number of rules: 1007
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1012] ifeq(A,A,true,B) <-> implies(implies(truth,truth),ordered(x,y))
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 1
% 31.14/31.27 Current number of rules: 1008
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1013] ifeq(A,A,true,B) <-> ordered(implies(implies(truth,truth),x),y)
% 31.14/31.27 Current number of equations to process: 3621
% 31.14/31.27 Current number of ordered equations: 0
% 31.14/31.27 Current number of rules: 1009
% 31.14/31.27 New rule produced : [1014] implies(ifeq(A,A,truth,B),C) <-> ifeq2(X,X,C,Y)
% 31.14/31.27 Current number of equations to process: 3619
% 31.14/31.27 Current number of ordered equations: 3
% 31.14/31.27 Current number of rules: 1010
% 31.14/31.27 New rule produced : [1015] ifeq2(X,X,B,Y) <-> ifeq(A,A,implies(truth,B),C)
% 31.14/31.27 Current number of equations to process: 3619
% 31.14/31.27 Current number of ordered equations: 2
% 31.14/31.27 Current number of rules: 1011
% 31.14/31.27 New rule produced : [1016] ifeq2(X,X,C,Y) <-> implies(ifeq(A,A,truth,B),C)
% 31.14/31.27 Current number of equations to process: 3619
% 31.14/31.27 Current number of ordered equations: 1
% 31.14/31.27 Current number of rules: 1012
% 31.14/31.27 New rule produced : [1017] ifeq(A,A,implies(truth,B),C) <-> ifeq2(X,X,B,Y)
% 31.14/31.27 Current number of equations to process: 3619
% 31.14/31.27 Current number of ordered equations: 0
% 31.14/31.27 Current number of rules: 1013
% 31.14/31.27 New rule produced : [1018] implies(ifeq2(A,A,truth,B),C) <-> ifeq2(X,X,C,Y)
% 31.14/31.27 Current number of equations to process: 3617
% 31.14/31.27 Current number of ordered equations: 3
% 31.14/31.27 Current number of rules: 1014
% 31.14/31.27 New rule produced : [1019] ifeq2(X,X,B,Y) <-> ifeq2(A,A,implies(truth,B),C)
% 31.14/31.27 Current number of equations to process: 3617
% 31.14/31.27 Current number of ordered equations: 2
% 31.14/31.27 Current number of rules: 1015
% 31.14/31.27 New rule produced : [1020] ifeq2(X,X,C,Y) <-> implies(ifeq2(A,A,truth,B),C)
% 31.14/31.27 Current number of equations to process: 3617
% 31.14/31.27 Current number of ordered equations: 1
% 31.14/31.27 Current number of rules: 1016
% 31.14/31.27 New rule produced : [1021] ifeq2(A,A,implies(truth,B),C) <-> ifeq2(X,X,B,Y)
% 31.14/31.27 Current number of equations to process: 3617
% 31.14/31.27 Current number of ordered equations: 0
% 31.14/31.27 Current number of rules: 1017
% 31.14/31.27 New rule produced :
% 31.14/31.27 [1022] implies(ifeq2(A,A,B,C),B) <-> implies(implies(B,truth),truth)
% 31.14/31.27 Current number of equations to process: 3616
% 31.14/31.27 Current number of ordered equations: 1
% 31.53/31.67 Current number of rules: 1018
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1023] implies(implies(B,truth),truth) <-> implies(ifeq2(A,A,B,C),B)
% 31.53/31.67 Current number of equations to process: 3616
% 31.53/31.67 Current number of ordered equations: 0
% 31.53/31.67 Current number of rules: 1019
% 31.53/31.67 New rule produced : [1024] (eq)(A,implies(truth,ifeq2(B,B,A,C))) -> (true)
% 31.53/31.67 Current number of equations to process: 3614
% 31.53/31.67 Current number of ordered equations: 1
% 31.53/31.67 Current number of rules: 1020
% 31.53/31.67 New rule produced : [1025] (eq)(A,ifeq2(B,B,implies(truth,A),C)) -> (true)
% 31.53/31.67 Current number of equations to process: 3614
% 31.53/31.67 Current number of ordered equations: 0
% 31.53/31.67 Current number of rules: 1021
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1026] ifeq2(B,B,A,C) <-> implies(truth,implies(truth,implies(truth,A)))
% 31.53/31.67 Current number of equations to process: 3612
% 31.53/31.67 Current number of ordered equations: 3
% 31.53/31.67 Current number of rules: 1022
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1027] ifeq2(B,B,A,C) <-> implies(implies(truth,implies(truth,truth)),A)
% 31.53/31.67 Current number of equations to process: 3612
% 31.53/31.67 Current number of ordered equations: 2
% 31.53/31.67 Current number of rules: 1023
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1028] implies(truth,implies(truth,implies(truth,A))) <-> ifeq2(B,B,A,C)
% 31.53/31.67 Current number of equations to process: 3612
% 31.53/31.67 Current number of ordered equations: 1
% 31.53/31.67 Current number of rules: 1024
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1029] implies(implies(truth,implies(truth,truth)),A) <-> ifeq2(B,B,A,C)
% 31.53/31.67 Current number of equations to process: 3612
% 31.53/31.67 Current number of ordered equations: 0
% 31.53/31.67 Current number of rules: 1025
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1030] ifeq2(B,B,A,C) <-> implies(implies(truth,truth),implies(truth,A))
% 31.53/31.67 Current number of equations to process: 3610
% 31.53/31.67 Current number of ordered equations: 3
% 31.53/31.67 Current number of rules: 1026
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1031] ifeq2(B,B,A,C) <-> implies(implies(implies(truth,truth),truth),A)
% 31.53/31.67 Current number of equations to process: 3610
% 31.53/31.67 Current number of ordered equations: 2
% 31.53/31.67 Current number of rules: 1027
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1032] implies(implies(truth,truth),implies(truth,A)) <-> ifeq2(B,B,A,C)
% 31.53/31.67 Current number of equations to process: 3610
% 31.53/31.67 Current number of ordered equations: 1
% 31.53/31.67 Current number of rules: 1028
% 31.53/31.67 New rule produced :
% 31.53/31.67 [1033] implies(implies(implies(truth,truth),truth),A) <-> ifeq2(B,B,A,C)
% 31.53/31.67 Current number of equations to process: 3610
% 31.53/31.67 Current number of ordered equations: 0
% 31.53/31.67 Current number of rules: 1029
% 31.53/31.67 New rule produced : [1034] ordered(x,ifeq(A,A,y,B)) <-> ifeq2(C,C,true,X)
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 5
% 31.53/31.67 Current number of rules: 1030
% 31.53/31.67 New rule produced : [1035] ordered(ifeq(A,A,x,B),y) <-> ifeq2(C,C,true,X)
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 4
% 31.53/31.67 Current number of rules: 1031
% 31.53/31.67 New rule produced : [1036] ifeq2(C,C,true,X) <-> ordered(x,ifeq(A,A,y,B))
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 3
% 31.53/31.67 Current number of rules: 1032
% 31.53/31.67 New rule produced : [1037] ifeq2(C,C,true,X) <-> ordered(ifeq(A,A,x,B),y)
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 2
% 31.53/31.67 Current number of rules: 1033
% 31.53/31.67 New rule produced : [1038] ifeq2(C,C,true,X) <-> ifeq(A,A,ordered(x,y),B)
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 1
% 31.53/31.67 Current number of rules: 1034
% 31.53/31.67 New rule produced : [1039] ifeq(A,A,ordered(x,y),B) <-> ifeq2(C,C,true,X)
% 31.53/31.67 Current number of equations to process: 3607
% 31.53/31.67 Current number of ordered equations: 0
% 31.53/31.67 Current number of rules: 1035
% 31.53/31.67 New rule produced : [1040] ordered(x,ifeq2(A,A,y,B)) <-> ifeq2(C,C,true,X)
% 31.53/31.67 Current number of equations to process: 3604
% 31.53/31.67 Current number of ordered equations: 5
% 31.53/31.67 Current number of rules: 1036
% 31.53/31.67 New rule produced : [1041] ordered(ifeq2(A,A,x,B),y) <-> ifeq2(C,C,true,X)
% 31.53/31.67 Current number of equations to process: 3604
% 31.53/31.67 Current number of ordered equations: 4
% 31.53/31.67 Current number of rules: 1037
% 31.53/31.67 New rule produced : [1042] ifeq2(C,C,true,X) <-> ordered(x,ifeq2(A,A,y,B))
% 31.53/31.67 Current number of equations to process: 3604
% 31.53/31.67 Current number of ordered equations: 3
% 31.53/31.67 Current number of rules: 1038
% 31.53/31.67 New rule produced : [1043] ifeq2(C,C,true,X) <-> ordered(ifeq2(A,A,x,B),y)
% 31.53/31.67 Current number of equations to process: 3604
% 31.53/31.67 Current number of ordered equations: 2
% 31.86/32.03 Current number of rules: 1039
% 31.86/32.03 New rule produced : [1044] ifeq2(C,C,true,X) <-> ifeq2(A,A,ordered(x,y),B)
% 31.86/32.03 Current number of equations to process: 3604
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1040
% 31.86/32.03 New rule produced : [1045] ifeq2(A,A,ordered(x,y),B) <-> ifeq2(C,C,true,X)
% 31.86/32.03 Current number of equations to process: 3604
% 31.86/32.03 Current number of ordered equations: 0
% 31.86/32.03 Current number of rules: 1041
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1046] ordered(x,implies(truth,implies(truth,y))) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 5
% 31.86/32.03 Current number of rules: 1042
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1047] ordered(implies(truth,implies(truth,x)),y) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 4
% 31.86/32.03 Current number of rules: 1043
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1048] implies(truth,implies(truth,ordered(x,y))) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 3
% 31.86/32.03 Current number of rules: 1044
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1049] ifeq2(A,A,true,B) <-> ordered(x,implies(truth,implies(truth,y)))
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 2
% 31.86/32.03 Current number of rules: 1045
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1050] ifeq2(A,A,true,B) <-> ordered(implies(truth,implies(truth,x)),y)
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1046
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1051] ifeq2(A,A,true,B) <-> implies(truth,implies(truth,ordered(x,y)))
% 31.86/32.03 Current number of equations to process: 3601
% 31.86/32.03 Current number of ordered equations: 0
% 31.86/32.03 Current number of rules: 1047
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1052] ordered(x,implies(implies(truth,truth),y)) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 5
% 31.86/32.03 Current number of rules: 1048
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1053] implies(implies(truth,truth),ordered(x,y)) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 4
% 31.86/32.03 Current number of rules: 1049
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1054] ordered(implies(implies(truth,truth),x),y) <-> ifeq2(A,A,true,B)
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 3
% 31.86/32.03 Current number of rules: 1050
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1055] ifeq2(A,A,true,B) <-> ordered(x,implies(implies(truth,truth),y))
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 2
% 31.86/32.03 Current number of rules: 1051
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1056] ifeq2(A,A,true,B) <-> implies(implies(truth,truth),ordered(x,y))
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1052
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1057] ifeq2(A,A,true,B) <-> ordered(implies(implies(truth,truth),x),y)
% 31.86/32.03 Current number of equations to process: 3598
% 31.86/32.03 Current number of ordered equations: 0
% 31.86/32.03 Current number of rules: 1053
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1058] implies(implies(B,truth),truth) <-> ifeq(A,A,implies(B,B),C)
% 31.86/32.03 Current number of equations to process: 3597
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1054
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1059] ifeq(A,A,implies(B,B),C) <-> implies(implies(B,truth),truth)
% 31.86/32.03 Current number of equations to process: 3597
% 31.86/32.03 Current number of ordered equations: 0
% 31.86/32.03 Current number of rules: 1055
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1060] ifeq2(A,A,implies(B,B),C) <-> implies(implies(B,truth),truth)
% 31.86/32.03 Current number of equations to process: 3596
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1056
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1061] implies(implies(B,truth),truth) <-> ifeq2(A,A,implies(B,B),C)
% 31.86/32.03 Current number of equations to process: 3596
% 31.86/32.03 Current number of ordered equations: 0
% 31.86/32.03 Current number of rules: 1057
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1062]
% 31.86/32.03 implies(truth,implies(truth,implies(A,A))) <->
% 31.86/32.03 implies(implies(A,truth),truth)
% 31.86/32.03 Current number of equations to process: 3595
% 31.86/32.03 Current number of ordered equations: 1
% 31.86/32.03 Current number of rules: 1058
% 31.86/32.03 New rule produced :
% 31.86/32.03 [1063]
% 31.86/32.03 implies(implies(A,truth),truth) <->
% 31.86/32.03 implies(truth,implies(truth,implies(A,A)))
% 31.86/32.03 Current number of equations to process: 3595
% 31.86/32.03 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1059
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1064]
% 32.24/32.40 implies(implies(truth,truth),implies(A,A)) <->
% 32.24/32.40 implies(implies(A,truth),truth)
% 32.24/32.40 Current number of equations to process: 3594
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1060
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1065]
% 32.24/32.40 implies(implies(A,truth),truth) <->
% 32.24/32.40 implies(implies(truth,truth),implies(A,A))
% 32.24/32.40 Current number of equations to process: 3594
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1061
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1066]
% 32.24/32.40 implies(implies(A,A),truth) <-> implies(implies(A,truth),implies(A,truth))
% 32.24/32.40 Current number of equations to process: 3593
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1062
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1067]
% 32.24/32.40 implies(implies(A,truth),implies(A,truth)) <-> implies(implies(A,A),truth)
% 32.24/32.40 Current number of equations to process: 3593
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1063
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1068]
% 32.24/32.40 implies(truth big_V A,truth) <-> implies(implies(A,truth),implies(A,truth))
% 32.24/32.40 Current number of equations to process: 3592
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1064
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1069]
% 32.24/32.40 implies(implies(A,truth),implies(A,truth)) <-> implies(truth big_V A,truth)
% 32.24/32.40 Current number of equations to process: 3592
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1065
% 32.24/32.40 New rule produced : [1070] implies(truth big_V B,B) <-> ifeq(A,A,B big_V B,C)
% 32.24/32.40 Current number of equations to process: 3591
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1066
% 32.24/32.40 New rule produced : [1071] ifeq(A,A,B big_V B,C) <-> implies(truth big_V B,B)
% 32.24/32.40 Current number of equations to process: 3591
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1067
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1072] implies(truth big_V B,B) <-> ifeq2(A,A,B big_V B,C)
% 32.24/32.40 Current number of equations to process: 3590
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1068
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1073] ifeq2(A,A,B big_V B,C) <-> implies(truth big_V B,B)
% 32.24/32.40 Current number of equations to process: 3590
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1069
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1074] not(implies(truth big_V not(A),not(A))) <-> A big_hat A
% 32.24/32.40 Current number of equations to process: 3589
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1070
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1075] A big_hat A <-> not(implies(truth big_V not(A),not(A)))
% 32.24/32.40 Current number of equations to process: 3589
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1071
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1076] implies(truth,implies(truth,A big_V A)) <-> implies(truth big_V A,A)
% 32.24/32.40 Current number of equations to process: 3588
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1072
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1077] implies(truth big_V A,A) <-> implies(truth,implies(truth,A big_V A))
% 32.24/32.40 Current number of equations to process: 3588
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1073
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1078] implies(truth big_V A,A) <-> implies(implies(truth,truth),A big_V A)
% 32.24/32.40 Current number of equations to process: 3587
% 32.24/32.40 Current number of ordered equations: 1
% 32.24/32.40 Current number of rules: 1074
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1079] implies(implies(truth,truth),A big_V A) <-> implies(truth big_V A,A)
% 32.24/32.40 Current number of equations to process: 3587
% 32.24/32.40 Current number of ordered equations: 0
% 32.24/32.40 Current number of rules: 1075
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1080] truth big_V ifeq(A,A,true,B) <-> implies(ordered(x,y),true)
% 32.24/32.40 Current number of equations to process: 3584
% 32.24/32.40 Current number of ordered equations: 5
% 32.24/32.40 Current number of rules: 1076
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1081] true big_V ifeq(A,A,truth,B) <-> implies(ordered(x,y),true)
% 32.24/32.40 Current number of equations to process: 3584
% 32.24/32.40 Current number of ordered equations: 4
% 32.24/32.40 Current number of rules: 1077
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1082] implies(ordered(x,y),true) <-> truth big_V ifeq(A,A,true,B)
% 32.24/32.40 Current number of equations to process: 3584
% 32.24/32.40 Current number of ordered equations: 3
% 32.24/32.40 Current number of rules: 1078
% 32.24/32.40 New rule produced :
% 32.24/32.40 [1083] implies(ordered(x,y),true) <-> true big_V ifeq(A,A,truth,B)
% 32.24/32.40 Current number of equations to process: 3584
% 32.63/32.80 Current number of ordered equations: 2
% 32.63/32.80 Current number of rules: 1079
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1084] implies(ordered(x,y),true) <-> ifeq(A,A,true big_V truth,B)
% 32.63/32.80 Current number of equations to process: 3584
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1080
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1085] ifeq(A,A,true big_V truth,B) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3584
% 32.63/32.80 Current number of ordered equations: 0
% 32.63/32.80 Current number of rules: 1081
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1086] ifeq2(A,A,true big_V truth,B) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 5
% 32.63/32.80 Current number of rules: 1082
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1087] truth big_V ifeq2(A,A,true,B) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 4
% 32.63/32.80 Current number of rules: 1083
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1088] true big_V ifeq2(A,A,truth,B) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 3
% 32.63/32.80 Current number of rules: 1084
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1089] implies(ordered(x,y),true) <-> ifeq2(A,A,true big_V truth,B)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 2
% 32.63/32.80 Current number of rules: 1085
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1090] implies(ordered(x,y),true) <-> truth big_V ifeq2(A,A,true,B)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1086
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1091] implies(ordered(x,y),true) <-> true big_V ifeq2(A,A,truth,B)
% 32.63/32.80 Current number of equations to process: 3581
% 32.63/32.80 Current number of ordered equations: 0
% 32.63/32.80 Current number of rules: 1087
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1092] truth big_V ordered(x,implies(truth,y)) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3580
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1088
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1093] implies(ordered(x,y),true) <-> truth big_V ordered(x,implies(truth,y))
% 32.63/32.80 Current number of equations to process: 3580
% 32.63/32.80 Current number of ordered equations: 0
% 32.63/32.80 Current number of rules: 1089
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1094] truth big_V ordered(implies(truth,x),y) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3579
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1090
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1095] implies(ordered(x,y),true) <-> truth big_V ordered(implies(truth,x),y)
% 32.63/32.80 Current number of equations to process: 3579
% 32.63/32.80 Current number of ordered equations: 0
% 32.63/32.80 Current number of rules: 1091
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1096] truth big_V implies(truth,ordered(x,y)) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3578
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1092
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1097] implies(ordered(x,y),true) <-> truth big_V implies(truth,ordered(x,y))
% 32.63/32.80 Current number of equations to process: 3578
% 32.63/32.80 Current number of ordered equations: 0
% 32.63/32.80 Current number of rules: 1093
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1098]
% 32.63/32.80 truth big_V implies(truth,implies(truth,true)) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3575
% 32.63/32.80 Current number of ordered equations: 5
% 32.63/32.80 Current number of rules: 1094
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1099]
% 32.63/32.80 true big_V implies(truth,implies(truth,truth)) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3575
% 32.63/32.80 Current number of ordered equations: 4
% 32.63/32.80 Current number of rules: 1095
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1100]
% 32.63/32.80 implies(truth,implies(truth,true big_V truth)) <-> implies(ordered(x,y),true)
% 32.63/32.80 Current number of equations to process: 3575
% 32.63/32.80 Current number of ordered equations: 3
% 32.63/32.80 Current number of rules: 1096
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1101]
% 32.63/32.80 implies(ordered(x,y),true) <-> truth big_V implies(truth,implies(truth,true))
% 32.63/32.80 Current number of equations to process: 3575
% 32.63/32.80 Current number of ordered equations: 2
% 32.63/32.80 Current number of rules: 1097
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1102]
% 32.63/32.80 implies(ordered(x,y),true) <-> true big_V implies(truth,implies(truth,truth))
% 32.63/32.80 Current number of equations to process: 3575
% 32.63/32.80 Current number of ordered equations: 1
% 32.63/32.80 Current number of rules: 1098
% 32.63/32.80 New rule produced :
% 32.63/32.80 [1103]
% 32.63/32.80 implies(ordered(x,y),true) <-> implies(truth,implies(truth,true big_V truth))
% 33.07/33.20 Current number of equations to process: 3575
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1099
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1104]
% 33.07/33.20 truth big_V implies(implies(truth,truth),true) <-> implies(ordered(x,y),true)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 5
% 33.07/33.20 Current number of rules: 1100
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1105]
% 33.07/33.20 true big_V implies(implies(truth,truth),truth) <-> implies(ordered(x,y),true)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 4
% 33.07/33.20 Current number of rules: 1101
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1106]
% 33.07/33.20 implies(ordered(x,y),true) <-> truth big_V implies(implies(truth,truth),true)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 3
% 33.07/33.20 Current number of rules: 1102
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1107]
% 33.07/33.20 implies(ordered(x,y),true) <-> true big_V implies(implies(truth,truth),truth)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 2
% 33.07/33.20 Current number of rules: 1103
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1108]
% 33.07/33.20 implies(ordered(x,y),true) <-> implies(implies(truth,truth),true big_V truth)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1104
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1109]
% 33.07/33.20 implies(implies(truth,truth),true big_V truth) <-> implies(ordered(x,y),true)
% 33.07/33.20 Current number of equations to process: 3572
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1105
% 33.07/33.20 New rule produced : [1110] implies(implies(C,B),B) <-> ifeq(A,A,B big_V C,X)
% 33.07/33.20 Current number of equations to process: 3571
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1106
% 33.07/33.20 New rule produced : [1111] ifeq(A,A,B big_V C,X) <-> implies(implies(C,B),B)
% 33.07/33.20 Current number of equations to process: 3571
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1107
% 33.07/33.20 New rule produced : [1112] implies(implies(C,B),B) <-> ifeq2(A,A,B big_V C,X)
% 33.07/33.20 Current number of equations to process: 3570
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1108
% 33.07/33.20 New rule produced : [1113] ifeq2(A,A,B big_V C,X) <-> implies(implies(C,B),B)
% 33.07/33.20 Current number of equations to process: 3570
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1109
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1114] implies(truth,implies(truth,A big_V B)) <-> implies(implies(B,A),A)
% 33.07/33.20 Current number of equations to process: 3569
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1110
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1115] implies(implies(B,A),A) <-> implies(truth,implies(truth,A big_V B))
% 33.07/33.20 Current number of equations to process: 3569
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1111
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1116] implies(implies(truth,truth),A big_V B) <-> implies(implies(B,A),A)
% 33.07/33.20 Current number of equations to process: 3568
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1112
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1117] implies(implies(B,A),A) <-> implies(implies(truth,truth),A big_V B)
% 33.07/33.20 Current number of equations to process: 3568
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1113
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1118] ordered(implies(x,z),implies(y,z)) <-> ifeq(A,A,true,B)
% 33.07/33.20 Current number of equations to process: 3563
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1114
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1119] ifeq(A,A,true,B) <-> ordered(implies(x,z),implies(y,z))
% 33.07/33.20 Current number of equations to process: 3563
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1115
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1120] ordered(implies(x,z),implies(y,z)) <-> ifeq2(A,A,true,B)
% 33.07/33.20 Current number of equations to process: 3562
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1116
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1121] ifeq2(A,A,true,B) <-> ordered(implies(x,z),implies(y,z))
% 33.07/33.20 Current number of equations to process: 3562
% 33.07/33.20 Current number of ordered equations: 0
% 33.07/33.20 Current number of rules: 1117
% 33.07/33.20 New rule produced :
% 33.07/33.20 [1122] ordered(x,implies(truth,y)) <-> ordered(implies(x,z),implies(y,z))
% 33.07/33.20 Current number of equations to process: 3561
% 33.07/33.20 Current number of ordered equations: 1
% 33.07/33.20 Current number of rules: 1118
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1123] ordered(implies(x,z),implies(y,z)) <-> ordered(x,implies(truth,y))
% 33.68/33.82 Current number of equations to process: 3561
% 33.68/33.82 Current number of ordered equations: 0
% 33.68/33.82 Current number of rules: 1119
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1124] ordered(implies(x,z),implies(y,z)) <-> ordered(implies(truth,x),y)
% 33.68/33.82 Current number of equations to process: 3560
% 33.68/33.82 Current number of ordered equations: 1
% 33.68/33.82 Current number of rules: 1120
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1125] ordered(implies(truth,x),y) <-> ordered(implies(x,z),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3560
% 33.68/33.82 Current number of ordered equations: 0
% 33.68/33.82 Current number of rules: 1121
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1126] ordered(implies(x,z),implies(y,z)) <-> implies(truth,ordered(x,y))
% 33.68/33.82 Current number of equations to process: 3559
% 33.68/33.82 Current number of ordered equations: 1
% 33.68/33.82 Current number of rules: 1122
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1127] implies(truth,ordered(x,y)) <-> ordered(implies(x,z),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3559
% 33.68/33.82 Current number of ordered equations: 0
% 33.68/33.82 Current number of rules: 1123
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1128]
% 33.68/33.82 ordered(implies(x,z),implies(y,z)) <-> implies(truth,implies(truth,true))
% 33.68/33.82 Current number of equations to process: 3558
% 33.68/33.82 Current number of ordered equations: 1
% 33.68/33.82 Current number of rules: 1124
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1129]
% 33.68/33.82 implies(truth,implies(truth,true)) <-> ordered(implies(x,z),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3558
% 33.68/33.82 Current number of ordered equations: 0
% 33.68/33.82 Current number of rules: 1125
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1130]
% 33.68/33.82 ordered(implies(x,z),implies(y,z)) <-> implies(implies(truth,truth),true)
% 33.68/33.82 Current number of equations to process: 3557
% 33.68/33.82 Current number of ordered equations: 1
% 33.68/33.82 Current number of rules: 1126
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1131]
% 33.68/33.82 implies(implies(truth,truth),true) <-> ordered(implies(x,z),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3557
% 33.68/33.82 Current number of ordered equations: 0
% 33.68/33.82 Current number of rules: 1127
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1132] true <-> ordered(implies(x,z),implies(truth,implies(y,z)))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 13
% 33.68/33.82 Current number of rules: 1128
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1133] true <-> ordered(implies(x,z),implies(implies(truth,y),z))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 12
% 33.68/33.82 Current number of rules: 1129
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1134] true <-> ordered(implies(x,z),implies(y,implies(truth,z)))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 11
% 33.68/33.82 Current number of rules: 1130
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1135] true <-> ordered(implies(truth,implies(x,z)),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 10
% 33.68/33.82 Current number of rules: 1131
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1136] true <-> implies(truth,ordered(implies(x,z),implies(y,z)))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 9
% 33.68/33.82 Current number of rules: 1132
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1137] true <-> ordered(implies(implies(truth,x),z),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 8
% 33.68/33.82 Current number of rules: 1133
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1138] true <-> ordered(implies(x,implies(truth,z)),implies(y,z))
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 7
% 33.68/33.82 Current number of rules: 1134
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1139] ordered(implies(x,z),implies(truth,implies(y,z))) <-> true
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 6
% 33.68/33.82 Current number of rules: 1135
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1140] ordered(implies(x,z),implies(implies(truth,y),z)) <-> true
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 5
% 33.68/33.82 Current number of rules: 1136
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1141] ordered(implies(x,z),implies(y,implies(truth,z))) <-> true
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 4
% 33.68/33.82 Current number of rules: 1137
% 33.68/33.82 New rule produced :
% 33.68/33.82 [1142] ordered(implies(truth,implies(x,z)),implies(y,z)) <-> true
% 33.68/33.82 Current number of equations to process: 3550
% 33.68/33.82 Current number of ordered equations: 3
% 33.68/33.82 Current number of rules: 1138
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1143] implies(truth,ordered(implies(x,z),implies(y,z))) <-> true
% 34.23/34.36 Current number of equations to process: 3550
% 34.23/34.36 Current number of ordered equations: 2
% 34.23/34.36 Current number of rules: 1139
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1144] ordered(implies(implies(truth,x),z),implies(y,z)) <-> true
% 34.23/34.36 Current number of equations to process: 3550
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1140
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1145] ordered(implies(x,implies(truth,z)),implies(y,z)) <-> true
% 34.23/34.36 Current number of equations to process: 3550
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1141
% 34.23/34.36 New rule produced : [1146] implies(truth,ifeq(A,A,B,C)) <-> ifeq(X,X,B,Y)
% 34.23/34.36 Current number of equations to process: 3549
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1142
% 34.23/34.36 New rule produced : [1147] ifeq(X,X,B,Y) <-> implies(truth,ifeq(A,A,B,C))
% 34.23/34.36 Current number of equations to process: 3549
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1143
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1148] ordered(x,ifeq(A,A,y,B)) <-> ordered(implies(truth,x),y)
% 34.23/34.36 Current number of equations to process: 3546
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1144
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1149] ordered(implies(truth,x),y) <-> ordered(x,ifeq(A,A,y,B))
% 34.23/34.36 Current number of equations to process: 3546
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1145
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1150] ordered(x,ifeq(A,A,y,B)) <-> implies(truth,ordered(x,y))
% 34.23/34.36 Current number of equations to process: 3545
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1146
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1151] implies(truth,ordered(x,y)) <-> ordered(x,ifeq(A,A,y,B))
% 34.23/34.36 Current number of equations to process: 3545
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1147
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1152] ordered(x,implies(truth,y)) <-> ordered(ifeq(A,A,x,B),y)
% 34.23/34.36 Current number of equations to process: 3540
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1148
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1153] ordered(ifeq(A,A,x,B),y) <-> ordered(x,implies(truth,y))
% 34.23/34.36 Current number of equations to process: 3540
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1149
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1154] ordered(ifeq(A,A,x,B),y) <-> implies(truth,ordered(x,y))
% 34.23/34.36 Current number of equations to process: 3539
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1150
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1155] implies(truth,ordered(x,y)) <-> ordered(ifeq(A,A,x,B),y)
% 34.23/34.36 Current number of equations to process: 3539
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1151
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1156] ordered(x,implies(truth,y)) <-> ifeq(A,A,ordered(x,y),B)
% 34.23/34.36 Current number of equations to process: 3534
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1152
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1157] ifeq(A,A,ordered(x,y),B) <-> ordered(x,implies(truth,y))
% 34.23/34.36 Current number of equations to process: 3534
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1153
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1158] ordered(implies(truth,x),y) <-> ifeq(A,A,ordered(x,y),B)
% 34.23/34.36 Current number of equations to process: 3533
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1154
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1159] ifeq(A,A,ordered(x,y),B) <-> ordered(implies(truth,x),y)
% 34.23/34.36 Current number of equations to process: 3533
% 34.23/34.36 Current number of ordered equations: 0
% 34.23/34.36 Current number of rules: 1155
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1160] truth <-> truth big_V ifeq(A,A,implies(truth,truth),B)
% 34.23/34.36 Current number of equations to process: 3508
% 34.23/34.36 Current number of ordered equations: 3
% 34.23/34.36 Current number of rules: 1156
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1161] truth <-> ifeq(A,A,implies(truth,truth big_V truth),B)
% 34.23/34.36 Current number of equations to process: 3508
% 34.23/34.36 Current number of ordered equations: 2
% 34.23/34.36 Current number of rules: 1157
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1162] truth big_V ifeq(A,A,implies(truth,truth),B) <-> truth
% 34.23/34.36 Current number of equations to process: 3508
% 34.23/34.36 Current number of ordered equations: 1
% 34.23/34.36 Current number of rules: 1158
% 34.23/34.36 New rule produced :
% 34.23/34.36 [1163] ifeq(A,A,implies(truth,truth big_V truth),B) <-> truth
% 34.23/34.36 Current number of equations to process: 3508
% 34.23/34.36 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1159
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1164] implies(truth,ordered(x,y)) <-> ifeq(A,A,implies(truth,true),B)
% 34.79/34.94 Current number of equations to process: 3505
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1160
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1165] ifeq(A,A,implies(truth,true),B) <-> implies(truth,ordered(x,y))
% 34.79/34.94 Current number of equations to process: 3505
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1161
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1166] ifeq(B,B,implies(truth,A),C) <-> implies(implies(truth,truth),A)
% 34.79/34.94 Current number of equations to process: 3504
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1162
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1167] implies(implies(truth,truth),A) <-> ifeq(B,B,implies(truth,A),C)
% 34.79/34.94 Current number of equations to process: 3504
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1163
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1168] truth <-> truth big_V implies(ifeq(A,A,truth,B),truth)
% 34.79/34.94 Current number of equations to process: 3495
% 34.79/34.94 Current number of ordered equations: 3
% 34.79/34.94 Current number of rules: 1164
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1169] truth <-> implies(ifeq(A,A,truth,B),truth big_V truth)
% 34.79/34.94 Current number of equations to process: 3495
% 34.79/34.94 Current number of ordered equations: 2
% 34.79/34.94 Current number of rules: 1165
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1170] truth big_V implies(ifeq(A,A,truth,B),truth) <-> truth
% 34.79/34.94 Current number of equations to process: 3495
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1166
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1171] implies(ifeq(A,A,truth,B),truth big_V truth) <-> truth
% 34.79/34.94 Current number of equations to process: 3495
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1167
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1172] implies(truth,ordered(x,y)) <-> implies(ifeq(A,A,truth,B),true)
% 34.79/34.94 Current number of equations to process: 3492
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1168
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1173] implies(ifeq(A,A,truth,B),true) <-> implies(truth,ordered(x,y))
% 34.79/34.94 Current number of equations to process: 3492
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1169
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1174] implies(truth,implies(truth,A)) <-> implies(ifeq(B,B,truth,C),A)
% 34.79/34.94 Current number of equations to process: 3491
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1170
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1175] implies(ifeq(B,B,truth,C),A) <-> implies(truth,implies(truth,A))
% 34.79/34.94 Current number of equations to process: 3491
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1171
% 34.79/34.94 New rule produced : [1176] B <-> ifeq(A,A,implies(truth big_V truth,B),C)
% 34.79/34.94 Current number of equations to process: 3487
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1172
% 34.79/34.94 New rule produced : [1177] ifeq(A,A,implies(truth big_V truth,B),C) <-> B
% 34.79/34.94 Current number of equations to process: 3487
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1173
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1178] truth <-> ifeq(A,A,truth big_V implies(truth,truth),B)
% 34.79/34.94 Current number of equations to process: 3484
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1174
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1179] ifeq(A,A,truth big_V implies(truth,truth),B) <-> truth
% 34.79/34.94 Current number of equations to process: 3484
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1175
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1180] truth big_V ifeq(A,A,truth,B) <-> ifeq(A,A,truth,B)
% 34.79/34.94 Current number of equations to process: 3478
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1176
% 34.79/34.94 New rule produced :
% 34.79/34.94 [1181] ifeq(A,A,truth,B) <-> truth big_V ifeq(A,A,truth,B)
% 34.79/34.94 Current number of equations to process: 3478
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1177
% 34.79/34.94 New rule produced : [1182] C <-> implies(ifeq(A,A,truth big_V truth,B),C)
% 34.79/34.94 Current number of equations to process: 3477
% 34.79/34.94 Current number of ordered equations: 1
% 34.79/34.94 Current number of rules: 1178
% 34.79/34.94 New rule produced : [1183] implies(ifeq(A,A,truth big_V truth,B),C) <-> C
% 34.79/34.94 Current number of equations to process: 3477
% 34.79/34.94 Current number of ordered equations: 0
% 34.79/34.94 Current number of rules: 1179
% 34.79/34.94 New rule produced : [1184] implies(truth,ifeq2(A,A,B,C)) <-> ifeq2(X,X,B,Y)
% 34.79/34.94 Current number of equations to process: 3476
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1180
% 35.41/35.52 New rule produced : [1185] ifeq2(X,X,B,Y) <-> implies(truth,ifeq2(A,A,B,C))
% 35.41/35.52 Current number of equations to process: 3476
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1181
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1186] ordered(x,ifeq2(A,A,y,B)) <-> ordered(implies(truth,x),y)
% 35.41/35.52 Current number of equations to process: 3473
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1182
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1187] ordered(implies(truth,x),y) <-> ordered(x,ifeq2(A,A,y,B))
% 35.41/35.52 Current number of equations to process: 3473
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1183
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1188] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,ordered(x,y))
% 35.41/35.52 Current number of equations to process: 3472
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1184
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1189] implies(truth,ordered(x,y)) <-> ordered(x,ifeq2(A,A,y,B))
% 35.41/35.52 Current number of equations to process: 3472
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1185
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1190] ordered(x,implies(truth,y)) <-> ordered(ifeq2(A,A,x,B),y)
% 35.41/35.52 Current number of equations to process: 3467
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1186
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1191] ordered(ifeq2(A,A,x,B),y) <-> ordered(x,implies(truth,y))
% 35.41/35.52 Current number of equations to process: 3467
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1187
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1192] ordered(ifeq2(A,A,x,B),y) <-> implies(truth,ordered(x,y))
% 35.41/35.52 Current number of equations to process: 3466
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1188
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1193] implies(truth,ordered(x,y)) <-> ordered(ifeq2(A,A,x,B),y)
% 35.41/35.52 Current number of equations to process: 3466
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1189
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1194] ordered(x,implies(truth,y)) <-> ifeq2(A,A,ordered(x,y),B)
% 35.41/35.52 Current number of equations to process: 3461
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1190
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1195] ifeq2(A,A,ordered(x,y),B) <-> ordered(x,implies(truth,y))
% 35.41/35.52 Current number of equations to process: 3461
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1191
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1196] ordered(implies(truth,x),y) <-> ifeq2(A,A,ordered(x,y),B)
% 35.41/35.52 Current number of equations to process: 3460
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1192
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1197] ifeq2(A,A,ordered(x,y),B) <-> ordered(implies(truth,x),y)
% 35.41/35.52 Current number of equations to process: 3460
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1193
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1198] truth <-> ifeq2(A,A,implies(truth,truth big_V truth),B)
% 35.41/35.52 Current number of equations to process: 3435
% 35.41/35.52 Current number of ordered equations: 3
% 35.41/35.52 Current number of rules: 1194
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1199] truth <-> truth big_V ifeq2(A,A,implies(truth,truth),B)
% 35.41/35.52 Current number of equations to process: 3435
% 35.41/35.52 Current number of ordered equations: 2
% 35.41/35.52 Current number of rules: 1195
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1200] ifeq2(A,A,implies(truth,truth big_V truth),B) <-> truth
% 35.41/35.52 Current number of equations to process: 3435
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1196
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1201] truth big_V ifeq2(A,A,implies(truth,truth),B) <-> truth
% 35.41/35.52 Current number of equations to process: 3435
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1197
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1202] implies(truth,ordered(x,y)) <-> ifeq2(A,A,implies(truth,true),B)
% 35.41/35.52 Current number of equations to process: 3432
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1198
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1203] ifeq2(A,A,implies(truth,true),B) <-> implies(truth,ordered(x,y))
% 35.41/35.52 Current number of equations to process: 3432
% 35.41/35.52 Current number of ordered equations: 0
% 35.41/35.52 Current number of rules: 1199
% 35.41/35.52 New rule produced :
% 35.41/35.52 [1204] ifeq2(B,B,implies(truth,A),C) <-> implies(implies(truth,truth),A)
% 35.41/35.52 Current number of equations to process: 3431
% 35.41/35.52 Current number of ordered equations: 1
% 35.41/35.52 Current number of rules: 1200
% 35.41/35.52 New rule produced :
% 35.96/36.10 [1205] implies(implies(truth,truth),A) <-> ifeq2(B,B,implies(truth,A),C)
% 35.96/36.10 Current number of equations to process: 3431
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1201
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1206] truth <-> truth big_V implies(ifeq2(A,A,truth,B),truth)
% 35.96/36.10 Current number of equations to process: 3422
% 35.96/36.10 Current number of ordered equations: 3
% 35.96/36.10 Current number of rules: 1202
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1207] truth <-> implies(ifeq2(A,A,truth,B),truth big_V truth)
% 35.96/36.10 Current number of equations to process: 3422
% 35.96/36.10 Current number of ordered equations: 2
% 35.96/36.10 Current number of rules: 1203
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1208] truth big_V implies(ifeq2(A,A,truth,B),truth) <-> truth
% 35.96/36.10 Current number of equations to process: 3422
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1204
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1209] implies(ifeq2(A,A,truth,B),truth big_V truth) <-> truth
% 35.96/36.10 Current number of equations to process: 3422
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1205
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1210] implies(truth,ordered(x,y)) <-> implies(ifeq2(A,A,truth,B),true)
% 35.96/36.10 Current number of equations to process: 3419
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1206
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1211] implies(ifeq2(A,A,truth,B),true) <-> implies(truth,ordered(x,y))
% 35.96/36.10 Current number of equations to process: 3419
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1207
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1212] implies(truth,implies(truth,A)) <-> implies(ifeq2(B,B,truth,C),A)
% 35.96/36.10 Current number of equations to process: 3418
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1208
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1213] implies(ifeq2(B,B,truth,C),A) <-> implies(truth,implies(truth,A))
% 35.96/36.10 Current number of equations to process: 3418
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1209
% 35.96/36.10 New rule produced : [1214] B <-> ifeq2(A,A,implies(truth big_V truth,B),C)
% 35.96/36.10 Current number of equations to process: 3414
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1210
% 35.96/36.10 New rule produced : [1215] ifeq2(A,A,implies(truth big_V truth,B),C) <-> B
% 35.96/36.10 Current number of equations to process: 3414
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1211
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1216] truth <-> ifeq2(A,A,truth big_V implies(truth,truth),B)
% 35.96/36.10 Current number of equations to process: 3411
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1212
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1217] ifeq2(A,A,truth big_V implies(truth,truth),B) <-> truth
% 35.96/36.10 Current number of equations to process: 3411
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1213
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1218] truth big_V ifeq2(A,A,truth,B) <-> ifeq2(A,A,truth,B)
% 35.96/36.10 Current number of equations to process: 3405
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1214
% 35.96/36.10 New rule produced :
% 35.96/36.10 [1219] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(A,A,truth,B)
% 35.96/36.10 Current number of equations to process: 3405
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1215
% 35.96/36.10 New rule produced : [1220] C <-> implies(ifeq2(A,A,truth big_V truth,B),C)
% 35.96/36.10 Current number of equations to process: 3404
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1216
% 35.96/36.10 New rule produced : [1221] implies(ifeq2(A,A,truth big_V truth,B),C) <-> C
% 35.96/36.10 Current number of equations to process: 3404
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1217
% 35.96/36.10 New rule produced : [1222] implies(truth,ifeq2(A,A,B,C)) <-> ifeq(X,X,B,Y)
% 35.96/36.10 Current number of equations to process: 3403
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1218
% 35.96/36.10 New rule produced : [1223] ifeq(X,X,B,Y) <-> implies(truth,ifeq2(A,A,B,C))
% 35.96/36.10 Current number of equations to process: 3403
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1219
% 35.96/36.10 New rule produced : [1224] implies(truth,ifeq(A,A,B,C)) <-> ifeq2(X,X,B,Y)
% 35.96/36.10 Current number of equations to process: 3402
% 35.96/36.10 Current number of ordered equations: 1
% 35.96/36.10 Current number of rules: 1220
% 35.96/36.10 New rule produced : [1225] ifeq2(X,X,B,Y) <-> implies(truth,ifeq(A,A,B,C))
% 35.96/36.10 Current number of equations to process: 3402
% 35.96/36.10 Current number of ordered equations: 0
% 35.96/36.10 Current number of rules: 1221
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1226] truth <-> truth big_V implies(truth,ifeq(A,A,truth,B))
% 36.61/36.74 Current number of equations to process: 3393
% 36.61/36.74 Current number of ordered equations: 3
% 36.61/36.74 Current number of rules: 1222
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1227] truth <-> implies(truth,ifeq(A,A,truth big_V truth,B))
% 36.61/36.74 Current number of equations to process: 3393
% 36.61/36.74 Current number of ordered equations: 2
% 36.61/36.74 Current number of rules: 1223
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1228] truth big_V implies(truth,ifeq(A,A,truth,B)) <-> truth
% 36.61/36.74 Current number of equations to process: 3393
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1224
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1229] implies(truth,ifeq(A,A,truth big_V truth,B)) <-> truth
% 36.61/36.74 Current number of equations to process: 3393
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1225
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1230] implies(truth,ifeq(B,B,A,C)) <-> implies(implies(truth,truth),A)
% 36.61/36.74 Current number of equations to process: 3390
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1226
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1231] implies(implies(truth,truth),A) <-> implies(truth,ifeq(B,B,A,C))
% 36.61/36.74 Current number of equations to process: 3390
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1227
% 36.61/36.74 New rule produced : [1232] B <-> implies(truth big_V truth,ifeq(A,A,B,C))
% 36.61/36.74 Current number of equations to process: 3387
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1228
% 36.61/36.74 New rule produced : [1233] implies(truth big_V truth,ifeq(A,A,B,C)) <-> B
% 36.61/36.74 Current number of equations to process: 3387
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1229
% 36.61/36.74 New rule produced : [1234] (eq)(ifeq(A,A,B,C),implies(truth,B)) -> (true)
% 36.61/36.74 Current number of equations to process: 3386
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1230
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1235] truth <-> truth big_V implies(truth,ifeq2(A,A,truth,B))
% 36.61/36.74 Current number of equations to process: 3377
% 36.61/36.74 Current number of ordered equations: 3
% 36.61/36.74 Current number of rules: 1231
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1236] truth <-> implies(truth,ifeq2(A,A,truth big_V truth,B))
% 36.61/36.74 Current number of equations to process: 3377
% 36.61/36.74 Current number of ordered equations: 2
% 36.61/36.74 Current number of rules: 1232
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1237] truth big_V implies(truth,ifeq2(A,A,truth,B)) <-> truth
% 36.61/36.74 Current number of equations to process: 3377
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1233
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1238] implies(truth,ifeq2(A,A,truth big_V truth,B)) <-> truth
% 36.61/36.74 Current number of equations to process: 3377
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1234
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1239] implies(truth,ifeq2(B,B,A,C)) <-> implies(implies(truth,truth),A)
% 36.61/36.74 Current number of equations to process: 3374
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1235
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1240] implies(implies(truth,truth),A) <-> implies(truth,ifeq2(B,B,A,C))
% 36.61/36.74 Current number of equations to process: 3374
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1236
% 36.61/36.74 New rule produced : [1241] B <-> implies(truth big_V truth,ifeq2(A,A,B,C))
% 36.61/36.74 Current number of equations to process: 3371
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1237
% 36.61/36.74 New rule produced : [1242] implies(truth big_V truth,ifeq2(A,A,B,C)) <-> B
% 36.61/36.74 Current number of equations to process: 3371
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1238
% 36.61/36.74 New rule produced : [1243] (eq)(ifeq2(A,A,B,C),implies(truth,B)) -> (true)
% 36.61/36.74 Current number of equations to process: 3370
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1239
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1244] implies(implies(A,B),B) <-> implies(truth big_V truth,A big_V B)
% 36.61/36.74 Current number of equations to process: 3367
% 36.61/36.74 Current number of ordered equations: 1
% 36.61/36.74 Current number of rules: 1240
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1245] implies(truth big_V truth,A big_V B) <-> implies(implies(A,B),B)
% 36.61/36.74 Current number of equations to process: 3367
% 36.61/36.74 Current number of ordered equations: 0
% 36.61/36.74 Current number of rules: 1241
% 36.61/36.74 New rule produced :
% 36.61/36.74 [1246]
% 36.61/36.74 implies(truth,implies(A,A)) <-> implies(implies(implies(truth,truth),A),A)
% 36.61/36.74 Current number of equations to process: 3366
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1242
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1247]
% 37.04/37.18 implies(implies(implies(truth,truth),A),A) <-> implies(truth,implies(A,A))
% 37.04/37.18 Current number of equations to process: 3366
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1243
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1248]
% 37.04/37.18 implies(truth,implies(truth,implies(A,A))) <-> implies(implies(truth,A),A)
% 37.04/37.18 Current number of equations to process: 3364
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1244
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1249]
% 37.04/37.18 implies(implies(truth,A),A) <-> implies(truth,implies(truth,implies(A,A)))
% 37.04/37.18 Current number of equations to process: 3364
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1245
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1250] implies(truth,implies(truth big_V A,A)) <-> implies(implies(A,A),A)
% 37.04/37.18 Current number of equations to process: 3363
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1246
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1251] implies(implies(A,A),A) <-> implies(truth,implies(truth big_V A,A))
% 37.04/37.18 Current number of equations to process: 3363
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1247
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1252]
% 37.04/37.18 implies(truth,implies(ordered(x,y),true)) <->
% 37.04/37.18 implies(implies(truth,true),true)
% 37.04/37.18 Current number of equations to process: 3361
% 37.04/37.18 Current number of ordered equations: 3
% 37.04/37.18 Current number of rules: 1248
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1253]
% 37.04/37.18 implies(truth,implies(ordered(x,y),true)) <->
% 37.04/37.18 implies(implies(true,truth),truth)
% 37.04/37.18 Current number of equations to process: 3361
% 37.04/37.18 Current number of ordered equations: 2
% 37.04/37.18 Current number of rules: 1249
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1254]
% 37.04/37.18 implies(implies(truth,true),true) <->
% 37.04/37.18 implies(truth,implies(ordered(x,y),true))
% 37.04/37.18 Current number of equations to process: 3361
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1250
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1255]
% 37.04/37.18 implies(implies(true,truth),truth) <->
% 37.04/37.18 implies(truth,implies(ordered(x,y),true))
% 37.04/37.18 Current number of equations to process: 3361
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1251
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1256] implies(truth,A big_V B) <-> implies(implies(truth,implies(A,B)),B)
% 37.04/37.18 Current number of equations to process: 3360
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1252
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1257] implies(implies(truth,implies(A,B)),B) <-> implies(truth,A big_V B)
% 37.04/37.18 Current number of equations to process: 3360
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1253
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1258] implies(A,B) big_V B <-> implies(implies(truth,A big_V B),B)
% 37.04/37.18 Current number of equations to process: 3358
% 37.04/37.18 Current number of ordered equations: 3
% 37.04/37.18 Current number of rules: 1254
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1259] implies(truth,implies(B,A) big_V A) <-> implies(A big_V B,A)
% 37.04/37.18 Current number of equations to process: 3358
% 37.04/37.18 Current number of ordered equations: 2
% 37.04/37.18 Current number of rules: 1255
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1260] implies(A big_V B,A) <-> implies(truth,implies(B,A) big_V A)
% 37.04/37.18 Current number of equations to process: 3358
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1256
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1261] implies(implies(truth,A big_V B),B) <-> implies(A,B) big_V B
% 37.04/37.18 Current number of equations to process: 3358
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1257
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1262] implies(truth,truth big_V ordered(x,y)) <-> implies(true,ordered(x,y))
% 37.04/37.18 Current number of equations to process: 3357
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1258
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1263] implies(true,ordered(x,y)) <-> implies(truth,truth big_V ordered(x,y))
% 37.04/37.18 Current number of equations to process: 3357
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1259
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1264]
% 37.04/37.18 implies(A,implies(truth,A)) <-> implies(truth,truth big_V implies(truth,A))
% 37.04/37.18 Current number of equations to process: 3356
% 37.04/37.18 Current number of ordered equations: 1
% 37.04/37.18 Current number of rules: 1260
% 37.04/37.18 New rule produced :
% 37.04/37.18 [1265]
% 37.04/37.18 implies(truth,truth big_V implies(truth,A)) <-> implies(A,implies(truth,A))
% 37.04/37.18 Current number of equations to process: 3356
% 37.04/37.18 Current number of ordered equations: 0
% 37.04/37.18 Current number of rules: 1261
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1266]
% 37.45/37.61 implies(truth,true big_V truth) <-> implies(ordered(x,implies(truth,y)),true)
% 37.45/37.61 Current number of equations to process: 3355
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1262
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1267]
% 37.45/37.61 implies(ordered(x,implies(truth,y)),true) <-> implies(truth,true big_V truth)
% 37.45/37.61 Current number of equations to process: 3355
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1263
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1268]
% 37.45/37.61 implies(truth,true big_V truth) <-> implies(ordered(implies(truth,x),y),true)
% 37.45/37.61 Current number of equations to process: 3354
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1264
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1269]
% 37.45/37.61 implies(ordered(implies(truth,x),y),true) <-> implies(truth,true big_V truth)
% 37.45/37.61 Current number of equations to process: 3354
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1265
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1270] implies(truth,A big_V A) <-> implies(implies(truth,truth) big_V A,A)
% 37.45/37.61 Current number of equations to process: 3353
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1266
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1271] implies(implies(truth,truth) big_V A,A) <-> implies(truth,A big_V A)
% 37.45/37.61 Current number of equations to process: 3353
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1267
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1272] implies(truth,A big_V A) <-> implies(implies(truth,truth big_V A),A)
% 37.45/37.61 Current number of equations to process: 3352
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1268
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1273] implies(implies(truth,truth big_V A),A) <-> implies(truth,A big_V A)
% 37.45/37.61 Current number of equations to process: 3352
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1269
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1274]
% 37.45/37.61 implies(truth,true big_V implies(truth,truth)) <-> implies(ordered(x,y),true)
% 37.45/37.61 Current number of equations to process: 3351
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1270
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1275]
% 37.45/37.61 implies(ordered(x,y),true) <-> implies(truth,true big_V implies(truth,truth))
% 37.45/37.61 Current number of equations to process: 3351
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1271
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1276] implies(ifeq(A,A,B,C),B) <-> implies(truth,truth big_V B)
% 37.45/37.61 Current number of equations to process: 3350
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1272
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1277] implies(truth,truth big_V B) <-> implies(ifeq(A,A,B,C),B)
% 37.45/37.61 Current number of equations to process: 3350
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1273
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1278] implies(ifeq2(A,A,B,C),B) <-> implies(truth,truth big_V B)
% 37.45/37.61 Current number of equations to process: 3349
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1274
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1279] implies(truth,truth big_V B) <-> implies(ifeq2(A,A,B,C),B)
% 37.45/37.61 Current number of equations to process: 3349
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1275
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1280]
% 37.45/37.61 implies(truth,A big_V A) <-> implies(implies(implies(A,truth),truth),A)
% 37.45/37.61 Current number of equations to process: 3348
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1276
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1281]
% 37.45/37.61 implies(implies(implies(A,truth),truth),A) <-> implies(truth,A big_V A)
% 37.45/37.61 Current number of equations to process: 3348
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1277
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1282]
% 37.45/37.61 implies(truth,truth big_V implies(A,truth)) <-> implies(implies(A,A),truth)
% 37.45/37.61 Current number of equations to process: 3347
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1278
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1283]
% 37.45/37.61 implies(implies(A,A),truth) <-> implies(truth,truth big_V implies(A,truth))
% 37.45/37.61 Current number of equations to process: 3347
% 37.45/37.61 Current number of ordered equations: 0
% 37.45/37.61 Current number of rules: 1279
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1284] implies(truth,(truth big_V A) big_V A) <-> implies(A big_V A,A)
% 37.45/37.61 Current number of equations to process: 3346
% 37.45/37.61 Current number of ordered equations: 1
% 37.45/37.61 Current number of rules: 1280
% 37.45/37.61 New rule produced :
% 37.45/37.61 [1285] implies(A big_V A,A) <-> implies(truth,(truth big_V A) big_V A)
% 37.91/38.04 Current number of equations to process: 3346
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1281
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1286]
% 37.91/38.04 implies(truth,true big_V ordered(x,y)) <-> implies(true big_V truth,true)
% 37.91/38.04 Current number of equations to process: 3345
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1282
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1287]
% 37.91/38.04 implies(true big_V truth,true) <-> implies(truth,true big_V ordered(x,y))
% 37.91/38.04 Current number of equations to process: 3345
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1283
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1288] implies(A big_V B,B) <-> implies(truth,implies(A,B)) big_V B
% 37.91/38.04 Current number of equations to process: 3341
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1284
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1289] implies(truth,implies(A,B)) big_V B <-> implies(A big_V B,B)
% 37.91/38.04 Current number of equations to process: 3341
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1285
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1290] (A big_V B) big_V A <-> implies(implies(B,A) big_V A,A)
% 37.91/38.04 Current number of equations to process: 3339
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1286
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1291] implies(implies(B,A) big_V A,A) <-> (A big_V B) big_V A
% 37.91/38.04 Current number of equations to process: 3339
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1287
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1292]
% 37.91/38.04 true big_V ordered(x,implies(truth,y)) <-> implies(true big_V truth,true)
% 37.91/38.04 Current number of equations to process: 3338
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1288
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1293]
% 37.91/38.04 implies(true big_V truth,true) <-> true big_V ordered(x,implies(truth,y))
% 37.91/38.04 Current number of equations to process: 3338
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1289
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1294]
% 37.91/38.04 true big_V ordered(implies(truth,x),y) <-> implies(true big_V truth,true)
% 37.91/38.04 Current number of equations to process: 3337
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1290
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1295]
% 37.91/38.04 implies(true big_V truth,true) <-> true big_V ordered(implies(truth,x),y)
% 37.91/38.04 Current number of equations to process: 3337
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1291
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1296] (implies(truth,truth) big_V A) big_V A <-> implies(A big_V A,A)
% 37.91/38.04 Current number of equations to process: 3336
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1292
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1297] implies(A big_V A,A) <-> (implies(truth,truth) big_V A) big_V A
% 37.91/38.04 Current number of equations to process: 3336
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1293
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1298] implies(truth,truth big_V A) big_V A <-> implies(A big_V A,A)
% 37.91/38.04 Current number of equations to process: 3335
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1294
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1299] implies(A big_V A,A) <-> implies(truth,truth big_V A) big_V A
% 37.91/38.04 Current number of equations to process: 3335
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1295
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1300]
% 37.91/38.04 implies(true big_V implies(truth,truth),true) <-> true big_V ordered(x,y)
% 37.91/38.04 Current number of equations to process: 3334
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1296
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1301]
% 37.91/38.04 true big_V ordered(x,y) <-> implies(true big_V implies(truth,truth),true)
% 37.91/38.04 Current number of equations to process: 3334
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1297
% 37.91/38.04 New rule produced : [1302] ifeq(A,A,B,C) big_V B <-> implies(truth big_V B,B)
% 37.91/38.04 Current number of equations to process: 3333
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1298
% 37.91/38.04 New rule produced : [1303] implies(truth big_V B,B) <-> ifeq(A,A,B,C) big_V B
% 37.91/38.04 Current number of equations to process: 3333
% 37.91/38.04 Current number of ordered equations: 0
% 37.91/38.04 Current number of rules: 1299
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1304] ifeq2(A,A,B,C) big_V B <-> implies(truth big_V B,B)
% 37.91/38.04 Current number of equations to process: 3332
% 37.91/38.04 Current number of ordered equations: 1
% 37.91/38.04 Current number of rules: 1300
% 37.91/38.04 New rule produced :
% 37.91/38.04 [1305] implies(truth big_V B,B) <-> ifeq2(A,A,B,C) big_V B
% 38.39/38.51 Current number of equations to process: 3332
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1301
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1306] implies(implies(A,truth),truth) big_V A <-> implies(A big_V A,A)
% 38.39/38.51 Current number of equations to process: 3331
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1302
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1307] implies(A big_V A,A) <-> implies(implies(A,truth),truth) big_V A
% 38.39/38.51 Current number of equations to process: 3331
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1303
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1308]
% 38.39/38.51 truth big_V implies(A,A) <-> implies(truth big_V implies(A,truth),truth)
% 38.39/38.51 Current number of equations to process: 3330
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1304
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1309]
% 38.39/38.51 implies(truth big_V implies(A,truth),truth) <-> truth big_V implies(A,A)
% 38.39/38.51 Current number of equations to process: 3330
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1305
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1310] (A big_V A) big_V A <-> implies((truth big_V A) big_V A,A)
% 38.39/38.51 Current number of equations to process: 3329
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1306
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1311] implies((truth big_V A) big_V A,A) <-> (A big_V A) big_V A
% 38.39/38.51 Current number of equations to process: 3329
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1307
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1312]
% 38.39/38.51 implies(true big_V ordered(x,y),true) <-> true big_V (true big_V truth)
% 38.39/38.51 Current number of equations to process: 3328
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1308
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1313]
% 38.39/38.51 true big_V (true big_V truth) <-> implies(true big_V ordered(x,y),true)
% 38.39/38.51 Current number of equations to process: 3328
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1309
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1314] implies(A,B) big_V B <-> implies(truth,implies(A big_V B,B))
% 38.39/38.51 Current number of equations to process: 3325
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1310
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1315] implies(truth,implies(A big_V B,B)) <-> implies(A,B) big_V B
% 38.39/38.51 Current number of equations to process: 3325
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1311
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1316] implies(implies(truth,truth),A) big_V A <-> implies(implies(A,A),A)
% 38.39/38.51 Current number of equations to process: 3323
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1312
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1317] implies(implies(A,A),A) <-> implies(implies(truth,truth),A) big_V A
% 38.39/38.51 Current number of equations to process: 3323
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1313
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1318]
% 38.39/38.51 truth big_V implies(A,truth) <-> implies(implies(truth,implies(A,A)),truth)
% 38.39/38.51 Current number of equations to process: 3321
% 38.39/38.51 Current number of ordered equations: 3
% 38.39/38.51 Current number of rules: 1314
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1319] implies(truth,A) big_V A <-> implies(implies(truth,implies(A,A)),A)
% 38.39/38.51 Current number of equations to process: 3321
% 38.39/38.51 Current number of ordered equations: 2
% 38.39/38.51 Current number of rules: 1315
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1320] implies(implies(truth,implies(A,A)),A) <-> implies(truth,A) big_V A
% 38.39/38.51 Current number of equations to process: 3321
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1316
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1321]
% 38.39/38.51 implies(implies(truth,implies(A,A)),truth) <-> truth big_V implies(A,truth)
% 38.39/38.51 Current number of equations to process: 3321
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1317
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1322] implies(A,A) big_V A <-> implies(implies(truth big_V A,A),A)
% 38.39/38.51 Current number of equations to process: 3320
% 38.39/38.51 Current number of ordered equations: 1
% 38.39/38.51 Current number of rules: 1318
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1323] implies(implies(truth big_V A,A),A) <-> implies(A,A) big_V A
% 38.39/38.51 Current number of equations to process: 3320
% 38.39/38.51 Current number of ordered equations: 0
% 38.39/38.51 Current number of rules: 1319
% 38.39/38.51 New rule produced :
% 38.39/38.51 [1324]
% 38.39/38.51 truth big_V implies(true,truth) <-> implies(implies(ordered(x,y),true),truth)
% 38.39/38.51 Current number of equations to process: 3318
% 38.39/38.51 Current number of ordered equations: 3
% 38.39/38.51 Current number of rules: 1320
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1325]
% 38.99/39.11 true big_V implies(truth,true) <-> implies(implies(ordered(x,y),true),true)
% 38.99/39.11 Current number of equations to process: 3318
% 38.99/39.11 Current number of ordered equations: 2
% 38.99/39.11 Current number of rules: 1321
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1326]
% 38.99/39.11 implies(implies(ordered(x,y),true),truth) <-> truth big_V implies(true,truth)
% 38.99/39.11 Current number of equations to process: 3318
% 38.99/39.11 Current number of ordered equations: 1
% 38.99/39.11 Current number of rules: 1322
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1327]
% 38.99/39.11 implies(implies(ordered(x,y),true),true) <-> true big_V implies(truth,true)
% 38.99/39.11 Current number of equations to process: 3318
% 38.99/39.11 Current number of ordered equations: 0
% 38.99/39.11 Current number of rules: 1323
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1328]
% 38.99/39.11 implies(ordered(x,y),implies(truth,true)) <->
% 38.99/39.11 implies(implies(true,truth),truth)
% 38.99/39.11 Current number of equations to process: 3312
% 38.99/39.11 Current number of ordered equations: 3
% 38.99/39.11 Current number of rules: 1324
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1329]
% 38.99/39.11 implies(implies(truth,ordered(x,y)),true) <->
% 38.99/39.11 implies(implies(true,truth),truth)
% 38.99/39.11 Current number of equations to process: 3312
% 38.99/39.11 Current number of ordered equations: 2
% 38.99/39.11 Current number of rules: 1325
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1330]
% 38.99/39.11 implies(implies(true,truth),truth) <->
% 38.99/39.11 implies(ordered(x,y),implies(truth,true))
% 38.99/39.11 Current number of equations to process: 3312
% 38.99/39.11 Current number of ordered equations: 1
% 38.99/39.11 Current number of rules: 1326
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1331]
% 38.99/39.11 implies(implies(true,truth),truth) <->
% 38.99/39.11 implies(implies(truth,ordered(x,y)),true)
% 38.99/39.11 Current number of equations to process: 3312
% 38.99/39.11 Current number of ordered equations: 0
% 38.99/39.11 Current number of rules: 1327
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1332]
% 38.99/39.11 implies(ordered(x,y),ordered(x,y)) <-> implies(implies(true,truth),truth)
% 38.99/39.11 Current number of equations to process: 3311
% 38.99/39.11 Current number of ordered equations: 1
% 38.99/39.11 Current number of rules: 1328
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1333]
% 38.99/39.11 implies(implies(true,truth),truth) <-> implies(ordered(x,y),ordered(x,y))
% 38.99/39.11 Current number of equations to process: 3311
% 38.99/39.11 Current number of ordered equations: 0
% 38.99/39.11 Current number of rules: 1329
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1334]
% 38.99/39.11 true big_V ordered(x,y) <-> implies(implies(implies(true,truth),truth),true)
% 38.99/39.11 Current number of equations to process: 3310
% 38.99/39.11 Current number of ordered equations: 1
% 38.99/39.11 Current number of rules: 1330
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1335]
% 38.99/39.11 implies(implies(implies(true,truth),truth),true) <-> true big_V ordered(x,y)
% 38.99/39.11 Current number of equations to process: 3310
% 38.99/39.11 Current number of ordered equations: 0
% 38.99/39.11 Current number of rules: 1331
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1336]
% 38.99/39.11 implies(implies(implies(truth,truth),true),true) <->
% 38.99/39.11 implies(implies(true,truth),truth)
% 38.99/39.11 Current number of equations to process: 3309
% 38.99/39.11 Current number of ordered equations: 1
% 38.99/39.11 Current number of rules: 1332
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1337]
% 38.99/39.11 implies(implies(true,truth),truth) <->
% 38.99/39.11 implies(implies(implies(truth,truth),true),true)
% 38.99/39.11 Current number of equations to process: 3309
% 38.99/39.11 Current number of ordered equations: 0
% 38.99/39.11 Current number of rules: 1333
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1338]
% 38.99/39.11 implies(implies(implies(truth,true),truth),truth) <->
% 38.99/39.11 implies(ordered(x,y),true)
% 38.99/39.11 Current number of equations to process: 3301
% 38.99/39.11 Current number of ordered equations: 9
% 38.99/39.11 Current number of rules: 1334
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1339]
% 38.99/39.11 implies(truth,implies(implies(true,truth),truth)) <->
% 38.99/39.11 implies(ordered(x,y),true)
% 38.99/39.11 Current number of equations to process: 3301
% 38.99/39.11 Current number of ordered equations: 8
% 38.99/39.11 Current number of rules: 1335
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1340]
% 38.99/39.11 implies(ordered(x,y),true) <->
% 38.99/39.11 implies(implies(implies(truth,true),truth),truth)
% 38.99/39.11 Current number of equations to process: 3301
% 38.99/39.11 Current number of ordered equations: 7
% 38.99/39.11 Current number of rules: 1336
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1341]
% 38.99/39.11 implies(ordered(x,y),true) <->
% 38.99/39.11 implies(truth,implies(implies(true,truth),truth))
% 38.99/39.11 Current number of equations to process: 3301
% 38.99/39.11 Current number of ordered equations: 6
% 38.99/39.11 Current number of rules: 1337
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1342]
% 38.99/39.11 implies(ordered(x,y),true) <->
% 38.99/39.11 implies(implies(true,implies(truth,truth)),truth)
% 38.99/39.11 Current number of equations to process: 3301
% 38.99/39.11 Current number of ordered equations: 5
% 38.99/39.11 Current number of rules: 1338
% 38.99/39.11 New rule produced :
% 38.99/39.11 [1343]
% 38.99/39.11 implies(ordered(x,y),true) <->
% 38.99/39.11 implies(implies(true,truth),implies(truth,truth))
% 39.45/39.60 Current number of equations to process: 3301
% 39.45/39.60 Current number of ordered equations: 4
% 39.45/39.60 Current number of rules: 1339
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1344]
% 39.45/39.60 implies(ordered(x,y),true) <->
% 39.45/39.60 implies(implies(truth,implies(true,truth)),truth)
% 39.45/39.60 Current number of equations to process: 3301
% 39.45/39.60 Current number of ordered equations: 3
% 39.45/39.60 Current number of rules: 1340
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1345]
% 39.45/39.60 implies(implies(true,implies(truth,truth)),truth) <->
% 39.45/39.60 implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3301
% 39.45/39.60 Current number of ordered equations: 2
% 39.45/39.60 Current number of rules: 1341
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1346]
% 39.45/39.60 implies(implies(true,truth),implies(truth,truth)) <->
% 39.45/39.60 implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3301
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1342
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1347]
% 39.45/39.60 implies(implies(truth,implies(true,truth)),truth) <->
% 39.45/39.60 implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3301
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1343
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1348]
% 39.45/39.60 implies(ordered(x,y),true) <-> implies(implies(ordered(x,y),truth),truth)
% 39.45/39.60 Current number of equations to process: 3300
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1344
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1349]
% 39.45/39.60 implies(implies(ordered(x,y),truth),truth) <-> implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3300
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1345
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1350]
% 39.45/39.60 implies(implies(true,truth big_V truth),truth) <-> implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3297
% 39.45/39.60 Current number of ordered equations: 3
% 39.45/39.60 Current number of rules: 1346
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1351]
% 39.45/39.60 implies(ordered(x,y),true) <-> implies(implies(true,truth big_V truth),truth)
% 39.45/39.60 Current number of equations to process: 3297
% 39.45/39.60 Current number of ordered equations: 2
% 39.45/39.60 Current number of rules: 1347
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1352]
% 39.45/39.60 implies(ordered(x,y),true) <-> implies(implies(true,truth),truth big_V truth)
% 39.45/39.60 Current number of equations to process: 3297
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1348
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1353]
% 39.45/39.60 implies(implies(true,truth),truth big_V truth) <-> implies(ordered(x,y),true)
% 39.45/39.60 Current number of equations to process: 3297
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1349
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1354] A <-> implies(ifeq(true,true,implies(x,y),truth),A)
% 39.45/39.60 Current number of equations to process: 3295
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1350
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1355] implies(ifeq(true,true,implies(x,y),truth),A) <-> A
% 39.45/39.60 Current number of equations to process: 3295
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1351
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1356] ifeq(true,true,implies(x,y),truth) <-> ifeq(A,A,truth,B)
% 39.45/39.60 Current number of equations to process: 3294
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1352
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1357] ifeq(A,A,truth,B) <-> ifeq(true,true,implies(x,y),truth)
% 39.45/39.60 Current number of equations to process: 3294
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1353
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1358] ifeq(true,true,implies(x,y),truth) <-> ifeq2(A,A,truth,B)
% 39.45/39.60 Current number of equations to process: 3293
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1354
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1359] ifeq2(A,A,truth,B) <-> ifeq(true,true,implies(x,y),truth)
% 39.45/39.60 Current number of equations to process: 3293
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1355
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1360] truth <-> truth big_V ifeq(true,true,implies(x,y),truth)
% 39.45/39.60 Current number of equations to process: 3292
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1356
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1361] truth big_V ifeq(true,true,implies(x,y),truth) <-> truth
% 39.45/39.60 Current number of equations to process: 3292
% 39.45/39.60 Current number of ordered equations: 0
% 39.45/39.60 Current number of rules: 1357
% 39.45/39.60 New rule produced :
% 39.45/39.60 [1362]
% 39.45/39.60 ifeq(true,true,implies(x,y),truth) <-> implies(truth,implies(truth,truth))
% 39.45/39.60 Current number of equations to process: 3291
% 39.45/39.60 Current number of ordered equations: 1
% 39.45/39.60 Current number of rules: 1358
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1363]
% 40.05/40.21 implies(truth,implies(truth,truth)) <-> ifeq(true,true,implies(x,y),truth)
% 40.05/40.21 Current number of equations to process: 3291
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1359
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1364]
% 40.05/40.21 ifeq(true,true,implies(x,y),truth) <-> implies(implies(truth,truth),truth)
% 40.05/40.21 Current number of equations to process: 3290
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1360
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1365]
% 40.05/40.21 implies(implies(truth,truth),truth) <-> ifeq(true,true,implies(x,y),truth)
% 40.05/40.21 Current number of equations to process: 3290
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1361
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1366] truth <-> ifeq(true,true,implies(truth,implies(x,y)),truth)
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 5
% 40.05/40.21 Current number of rules: 1362
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1367] truth <-> implies(truth,ifeq(true,true,implies(x,y),truth))
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 4
% 40.05/40.21 Current number of rules: 1363
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1368] truth <-> ifeq(true,implies(truth,true),implies(x,y),truth)
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 3
% 40.05/40.21 Current number of rules: 1364
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1369] ifeq(true,true,implies(truth,implies(x,y)),truth) <-> truth
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 2
% 40.05/40.21 Current number of rules: 1365
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1370] implies(truth,ifeq(true,true,implies(x,y),truth)) <-> truth
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1366
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1371] ifeq(true,implies(truth,true),implies(x,y),truth) <-> truth
% 40.05/40.21 Current number of equations to process: 3284
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1367
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1372] truth <-> ifeq(true,ordered(x,y),implies(x,y),truth)
% 40.05/40.21 Current number of equations to process: 3283
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1368
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1373] ifeq(true,ordered(x,y),implies(x,y),truth) <-> truth
% 40.05/40.21 Current number of equations to process: 3283
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1369
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1374] B <-> implies(ifeq(ordered(truth,A),true,A,truth),B)
% 40.05/40.21 Current number of equations to process: 3281
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1370
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1375] implies(ifeq(ordered(truth,A),true,A,truth),B) <-> B
% 40.05/40.21 Current number of equations to process: 3281
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1371
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1376] ifeq(ordered(truth,C),true,C,truth) <-> ifeq(A,A,truth,B)
% 40.05/40.21 Current number of equations to process: 3280
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1372
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1377] ifeq(A,A,truth,B) <-> ifeq(ordered(truth,C),true,C,truth)
% 40.05/40.21 Current number of equations to process: 3280
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1373
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1378] ifeq(ordered(truth,C),true,C,truth) <-> ifeq2(A,A,truth,B)
% 40.05/40.21 Current number of equations to process: 3279
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1374
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1379] ifeq2(A,A,truth,B) <-> ifeq(ordered(truth,C),true,C,truth)
% 40.05/40.21 Current number of equations to process: 3279
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1375
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1380] truth <-> truth big_V ifeq(ordered(truth,A),true,A,truth)
% 40.05/40.21 Current number of equations to process: 3278
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1376
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1381] truth big_V ifeq(ordered(truth,A),true,A,truth) <-> truth
% 40.05/40.21 Current number of equations to process: 3278
% 40.05/40.21 Current number of ordered equations: 0
% 40.05/40.21 Current number of rules: 1377
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1382]
% 40.05/40.21 ifeq(ordered(truth,A),true,A,truth) <-> implies(truth,implies(truth,truth))
% 40.05/40.21 Current number of equations to process: 3277
% 40.05/40.21 Current number of ordered equations: 1
% 40.05/40.21 Current number of rules: 1378
% 40.05/40.21 New rule produced :
% 40.05/40.21 [1383]
% 40.05/40.21 implies(truth,implies(truth,truth)) <-> ifeq(ordered(truth,A),true,A,truth)
% 40.76/40.88 Current number of equations to process: 3277
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1379
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1384]
% 40.76/40.88 ifeq(ordered(truth,A),true,A,truth) <-> implies(implies(truth,truth),truth)
% 40.76/40.88 Current number of equations to process: 3276
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1380
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1385]
% 40.76/40.88 implies(implies(truth,truth),truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 40.76/40.88 Current number of equations to process: 3276
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1381
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1386] truth <-> ifeq(ordered(truth,A),true,A,implies(truth,truth))
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 7
% 40.76/40.88 Current number of rules: 1382
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1387] truth <-> implies(truth,ifeq(ordered(truth,A),true,A,truth))
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 6
% 40.76/40.88 Current number of rules: 1383
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1388] truth <-> ifeq(ordered(truth,A),implies(truth,true),A,truth)
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 5
% 40.76/40.88 Current number of rules: 1384
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1389] truth <-> ifeq(implies(truth,ordered(truth,A)),true,A,truth)
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 4
% 40.76/40.88 Current number of rules: 1385
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1390] ifeq(ordered(truth,A),true,A,implies(truth,truth)) <-> truth
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 3
% 40.76/40.88 Current number of rules: 1386
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1391] implies(truth,ifeq(ordered(truth,A),true,A,truth)) <-> truth
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 2
% 40.76/40.88 Current number of rules: 1387
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1392] ifeq(ordered(truth,A),implies(truth,true),A,truth) <-> truth
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1388
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1393] ifeq(implies(truth,ordered(truth,A)),true,A,truth) <-> truth
% 40.76/40.88 Current number of equations to process: 3271
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1389
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1394] truth <-> ifeq(ordered(truth,A),ordered(x,y),A,truth)
% 40.76/40.88 Current number of equations to process: 3270
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1390
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1395] ifeq(ordered(truth,A),ordered(x,y),A,truth) <-> truth
% 40.76/40.88 Current number of equations to process: 3270
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1391
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1396] truth <-> ifeq(ordered(truth,A),true,A,truth big_V truth)
% 40.76/40.88 Current number of equations to process: 3268
% 40.76/40.88 Current number of ordered equations: 3
% 40.76/40.88 Current number of rules: 1392
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1397] truth <-> ifeq(ordered(truth big_V truth,A),true,A,truth)
% 40.76/40.88 Current number of equations to process: 3268
% 40.76/40.88 Current number of ordered equations: 2
% 40.76/40.88 Current number of rules: 1393
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1398] ifeq(ordered(truth,A),true,A,truth big_V truth) <-> truth
% 40.76/40.88 Current number of equations to process: 3268
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1394
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1399] ifeq(ordered(truth big_V truth,A),true,A,truth) <-> truth
% 40.76/40.88 Current number of equations to process: 3268
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1395
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1400] B <-> implies(implies(implies(not(A),not(truth)),A),B)
% 40.76/40.88 Current number of equations to process: 3267
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1396
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1401] implies(implies(implies(not(A),not(truth)),A),B) <-> B
% 40.76/40.88 Current number of equations to process: 3267
% 40.76/40.88 Current number of ordered equations: 0
% 40.76/40.88 Current number of rules: 1397
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1402] implies(implies(not(C),not(truth)),C) <-> ifeq(A,A,truth,B)
% 40.76/40.88 Current number of equations to process: 3266
% 40.76/40.88 Current number of ordered equations: 1
% 40.76/40.88 Current number of rules: 1398
% 40.76/40.88 New rule produced :
% 40.76/40.88 [1403] ifeq(A,A,truth,B) <-> implies(implies(not(C),not(truth)),C)
% 40.76/40.88 Current number of equations to process: 3266
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1399
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1404] implies(implies(not(C),not(truth)),C) <-> ifeq2(A,A,truth,B)
% 41.36/41.51 Current number of equations to process: 3265
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1400
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1405] ifeq2(A,A,truth,B) <-> implies(implies(not(C),not(truth)),C)
% 41.36/41.51 Current number of equations to process: 3265
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1401
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1406] truth <-> truth big_V implies(implies(not(A),not(truth)),A)
% 41.36/41.51 Current number of equations to process: 3264
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1402
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1407] truth big_V implies(implies(not(A),not(truth)),A) <-> truth
% 41.36/41.51 Current number of equations to process: 3264
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1403
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1408]
% 41.36/41.51 implies(truth,implies(truth,truth)) <-> implies(implies(not(A),not(truth)),A)
% 41.36/41.51 Current number of equations to process: 3263
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1404
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1409]
% 41.36/41.51 implies(implies(not(A),not(truth)),A) <-> implies(truth,implies(truth,truth))
% 41.36/41.51 Current number of equations to process: 3263
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1405
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1410]
% 41.36/41.51 implies(implies(truth,truth),truth) <-> implies(implies(not(A),not(truth)),A)
% 41.36/41.51 Current number of equations to process: 3262
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1406
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1411]
% 41.36/41.51 implies(implies(not(A),not(truth)),A) <-> implies(implies(truth,truth),truth)
% 41.36/41.51 Current number of equations to process: 3262
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1407
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1412] truth <-> implies(truth,implies(implies(not(A),not(truth)),A))
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 7
% 41.36/41.51 Current number of rules: 1408
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1413] truth <-> implies(implies(truth,implies(not(A),not(truth))),A)
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 6
% 41.36/41.51 Current number of rules: 1409
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1414] truth <-> implies(implies(implies(truth,not(A)),not(truth)),A)
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 5
% 41.36/41.51 Current number of rules: 1410
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1415] truth <-> implies(implies(not(A),implies(truth,not(truth))),A)
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 4
% 41.36/41.51 Current number of rules: 1411
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1416] implies(truth,implies(implies(not(A),not(truth)),A)) <-> truth
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 3
% 41.36/41.51 Current number of rules: 1412
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1417] implies(implies(truth,implies(not(A),not(truth))),A) <-> truth
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 2
% 41.36/41.51 Current number of rules: 1413
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1418] implies(implies(implies(truth,not(A)),not(truth)),A) <-> truth
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1414
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1419] implies(implies(not(A),implies(truth,not(truth))),A) <-> truth
% 41.36/41.51 Current number of equations to process: 3257
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1415
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1420] truth <-> implies(implies(A,not(implies(A,not(truth)))),truth)
% 41.36/41.51 Current number of equations to process: 3256
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1416
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1421] implies(implies(A,not(implies(A,not(truth)))),truth) <-> truth
% 41.36/41.51 Current number of equations to process: 3256
% 41.36/41.51 Current number of ordered equations: 0
% 41.36/41.51 Current number of rules: 1417
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1422] truth <-> implies(implies(not(A),not(truth big_V truth)),A)
% 41.36/41.51 Current number of equations to process: 3255
% 41.36/41.51 Current number of ordered equations: 1
% 41.36/41.51 Current number of rules: 1418
% 41.36/41.51 New rule produced :
% 41.36/41.51 [1423] implies(implies(not(A),not(truth big_V truth)),A) <-> truth
% 41.97/42.12 Current number of equations to process: 3255
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1419
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1424] ifeq2(implies(x,y),truth,true,true) <-> ifeq(A,A,true,B)
% 41.97/42.12 Current number of equations to process: 3254
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1420
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1425] ifeq(A,A,true,B) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3254
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1421
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1426] ifeq2(implies(x,y),truth,true,true) <-> ifeq2(A,A,true,B)
% 41.97/42.12 Current number of equations to process: 3253
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1422
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1427] ifeq2(A,A,true,B) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3253
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1423
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1428] ordered(x,implies(truth,y)) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3252
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1424
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1429] ifeq2(implies(x,y),truth,true,true) <-> ordered(x,implies(truth,y))
% 41.97/42.12 Current number of equations to process: 3252
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1425
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1430] ordered(implies(truth,x),y) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3251
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1426
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1431] ifeq2(implies(x,y),truth,true,true) <-> ordered(implies(truth,x),y)
% 41.97/42.12 Current number of equations to process: 3251
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1427
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1432] implies(truth,ordered(x,y)) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3250
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1428
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1433] ifeq2(implies(x,y),truth,true,true) <-> implies(truth,ordered(x,y))
% 41.97/42.12 Current number of equations to process: 3250
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1429
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1434]
% 41.97/42.12 implies(truth,implies(truth,true)) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3249
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1430
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1435]
% 41.97/42.12 ifeq2(implies(x,y),truth,true,true) <-> implies(truth,implies(truth,true))
% 41.97/42.12 Current number of equations to process: 3249
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1431
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1436]
% 41.97/42.12 implies(implies(truth,truth),true) <-> ifeq2(implies(x,y),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3248
% 41.97/42.12 Current number of ordered equations: 1
% 41.97/42.12 Current number of rules: 1432
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1437]
% 41.97/42.12 ifeq2(implies(x,y),truth,true,true) <-> implies(implies(truth,truth),true)
% 41.97/42.12 Current number of equations to process: 3248
% 41.97/42.12 Current number of ordered equations: 0
% 41.97/42.12 Current number of rules: 1433
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1438] true <-> implies(truth,ifeq2(implies(x,y),truth,true,true))
% 41.97/42.12 Current number of equations to process: 3242
% 41.97/42.12 Current number of ordered equations: 7
% 41.97/42.12 Current number of rules: 1434
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1439] true <-> ifeq2(implies(x,y),implies(truth,truth),true,true)
% 41.97/42.12 Current number of equations to process: 3242
% 41.97/42.12 Current number of ordered equations: 6
% 41.97/42.12 Current number of rules: 1435
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1440] true <-> ifeq2(implies(truth,implies(x,y)),truth,true,true)
% 41.97/42.12 Current number of equations to process: 3242
% 41.97/42.12 Current number of ordered equations: 5
% 41.97/42.12 Current number of rules: 1436
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1441] true <-> ifeq2(implies(x,y),truth,true,implies(truth,true))
% 41.97/42.12 Current number of equations to process: 3242
% 41.97/42.12 Current number of ordered equations: 4
% 41.97/42.12 Current number of rules: 1437
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1442] implies(truth,ifeq2(implies(x,y),truth,true,true)) <-> true
% 41.97/42.12 Current number of equations to process: 3242
% 41.97/42.12 Current number of ordered equations: 3
% 41.97/42.12 Current number of rules: 1438
% 41.97/42.12 New rule produced :
% 41.97/42.12 [1443] ifeq2(implies(x,y),implies(truth,truth),true,true) <-> true
% 42.49/42.59 Current number of equations to process: 3242
% 42.49/42.59 Current number of ordered equations: 2
% 42.49/42.59 Current number of rules: 1439
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1444] ifeq2(implies(truth,implies(x,y)),truth,true,true) <-> true
% 42.49/42.59 Current number of equations to process: 3242
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1440
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1445] ifeq2(implies(x,y),truth,true,implies(truth,true)) <-> true
% 42.49/42.59 Current number of equations to process: 3242
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1441
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1446] true <-> ifeq2(implies(x,y),truth,true,ordered(x,y))
% 42.49/42.59 Current number of equations to process: 3241
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1442
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1447] ifeq2(implies(x,y),truth,true,ordered(x,y)) <-> true
% 42.49/42.59 Current number of equations to process: 3241
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1443
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1448] true <-> ifeq2(implies(x,y),truth big_V truth,true,true)
% 42.49/42.59 Current number of equations to process: 3240
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1444
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1449] ifeq2(implies(x,y),truth big_V truth,true,true) <-> true
% 42.49/42.59 Current number of equations to process: 3240
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1445
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1450] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq(A,A,true,B)
% 42.49/42.59 Current number of equations to process: 3239
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1446
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1451] ifeq(A,A,true,B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 42.49/42.59 Current number of equations to process: 3239
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1447
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1452] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq2(A,A,true,B)
% 42.49/42.59 Current number of equations to process: 3238
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1448
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1453] ifeq2(A,A,true,B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 42.49/42.59 Current number of equations to process: 3238
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1449
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1454] ifeq2(A,truth,ordered(truth,A),true) <-> ordered(x,implies(truth,y))
% 42.49/42.59 Current number of equations to process: 3237
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1450
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1455] ordered(x,implies(truth,y)) <-> ifeq2(A,truth,ordered(truth,A),true)
% 42.49/42.59 Current number of equations to process: 3237
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1451
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1456] ifeq2(A,truth,ordered(truth,A),true) <-> ordered(implies(truth,x),y)
% 42.49/42.59 Current number of equations to process: 3236
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1452
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1457] ordered(implies(truth,x),y) <-> ifeq2(A,truth,ordered(truth,A),true)
% 42.49/42.59 Current number of equations to process: 3236
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1453
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1458] ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth,ordered(x,y))
% 42.49/42.59 Current number of equations to process: 3235
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1454
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1459] implies(truth,ordered(x,y)) <-> ifeq2(A,truth,ordered(truth,A),true)
% 42.49/42.59 Current number of equations to process: 3235
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1455
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1460]
% 42.49/42.59 ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth,implies(truth,true))
% 42.49/42.59 Current number of equations to process: 3234
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1456
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1461]
% 42.49/42.59 implies(truth,implies(truth,true)) <-> ifeq2(A,truth,ordered(truth,A),true)
% 42.49/42.59 Current number of equations to process: 3234
% 42.49/42.59 Current number of ordered equations: 0
% 42.49/42.59 Current number of rules: 1457
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1462]
% 42.49/42.59 ifeq2(A,truth,ordered(truth,A),true) <-> implies(implies(truth,truth),true)
% 42.49/42.59 Current number of equations to process: 3233
% 42.49/42.59 Current number of ordered equations: 1
% 42.49/42.59 Current number of rules: 1458
% 42.49/42.59 New rule produced :
% 42.49/42.59 [1463]
% 42.49/42.59 implies(implies(truth,truth),true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 46.79/46.89 Current number of equations to process: 3233
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1459
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1464] true <-> ifeq2(A,truth,ordered(truth,A),implies(truth,true))
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 7
% 46.79/46.89 Current number of rules: 1460
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1465] true <-> ifeq2(A,truth,implies(truth,ordered(truth,A)),true)
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 6
% 46.79/46.89 Current number of rules: 1461
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1466] true <-> implies(truth,ifeq2(A,truth,ordered(truth,A),true))
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 5
% 46.79/46.89 Current number of rules: 1462
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1467] true <-> ifeq2(A,implies(truth,truth),ordered(truth,A),true)
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 4
% 46.79/46.89 Current number of rules: 1463
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1468] ifeq2(A,truth,ordered(truth,A),implies(truth,true)) <-> true
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 3
% 46.79/46.89 Current number of rules: 1464
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1469] ifeq2(A,truth,implies(truth,ordered(truth,A)),true) <-> true
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 2
% 46.79/46.89 Current number of rules: 1465
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1470] implies(truth,ifeq2(A,truth,ordered(truth,A),true)) <-> true
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1466
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1471] ifeq2(A,implies(truth,truth),ordered(truth,A),true) <-> true
% 46.79/46.89 Current number of equations to process: 3228
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1467
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1472] true <-> ifeq2(A,truth,ordered(truth,A),ordered(x,y))
% 46.79/46.89 Current number of equations to process: 3227
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1468
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1473] ifeq2(A,truth,ordered(truth,A),ordered(x,y)) <-> true
% 46.79/46.89 Current number of equations to process: 3227
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1469
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1474] true <-> ifeq2(A,truth,ordered(truth big_V truth,A),true)
% 46.79/46.89 Current number of equations to process: 3225
% 46.79/46.89 Current number of ordered equations: 3
% 46.79/46.89 Current number of rules: 1470
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1475] true <-> ifeq2(A,truth big_V truth,ordered(truth,A),true)
% 46.79/46.89 Current number of equations to process: 3225
% 46.79/46.89 Current number of ordered equations: 2
% 46.79/46.89 Current number of rules: 1471
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1476] ifeq2(A,truth,ordered(truth big_V truth,A),true) <-> true
% 46.79/46.89 Current number of equations to process: 3225
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1472
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1477] ifeq2(A,truth big_V truth,ordered(truth,A),true) <-> true
% 46.79/46.89 Current number of equations to process: 3225
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1473
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1478] ordered(x,ifeq(A,A,y,B)) <-> implies(truth big_V truth,true)
% 46.79/46.89 Current number of equations to process: 3375
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1474
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1479] implies(truth big_V truth,true) <-> ordered(x,ifeq(A,A,y,B))
% 46.79/46.89 Current number of equations to process: 3375
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1475
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1480] ordered(ifeq(A,A,x,B),y) <-> implies(truth big_V truth,true)
% 46.79/46.89 Current number of equations to process: 3438
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1476
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1481] implies(truth big_V truth,true) <-> ordered(ifeq(A,A,x,B),y)
% 46.79/46.89 Current number of equations to process: 3438
% 46.79/46.89 Current number of ordered equations: 0
% 46.79/46.89 Current number of rules: 1477
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1482] implies(truth big_V truth,true) <-> ifeq(A,A,ordered(x,y),B)
% 46.79/46.89 Current number of equations to process: 3494
% 46.79/46.89 Current number of ordered equations: 1
% 46.79/46.89 Current number of rules: 1478
% 46.79/46.89 New rule produced :
% 46.79/46.89 [1483] ifeq(A,A,ordered(x,y),B) <-> implies(truth big_V truth,true)
% 46.79/46.89 Current number of equations to process: 3494
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1479
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1484] ifeq(B,B,truth big_V A,C) <-> implies(truth,truth) big_V A
% 50.66/50.79 Current number of equations to process: 3613
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1480
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1485] implies(truth,truth) big_V A <-> ifeq(B,B,truth big_V A,C)
% 50.66/50.79 Current number of equations to process: 3613
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1481
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1486] ifeq(C,C,truth big_V truth,X) <-> ifeq(A,A,truth,B)
% 50.66/50.79 Current number of equations to process: 3612
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1482
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1487] ifeq(A,A,truth,B) <-> ifeq(C,C,truth big_V truth,X)
% 50.66/50.79 Current number of equations to process: 3612
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1483
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1488] ifeq(C,C,truth big_V truth,X) <-> ifeq2(A,A,truth,B)
% 50.66/50.79 Current number of equations to process: 3611
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1484
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1489] ifeq2(A,A,truth,B) <-> ifeq(C,C,truth big_V truth,X)
% 50.66/50.79 Current number of equations to process: 3611
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1485
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1490] truth <-> implies(truth,truth big_V ifeq(A,A,truth,B))
% 50.66/50.79 Current number of equations to process: 3654
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1486
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1491] implies(truth,truth big_V ifeq(A,A,truth,B)) <-> truth
% 50.66/50.79 Current number of equations to process: 3654
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1487
% 50.66/50.79 New rule produced : [1492] C <-> implies(truth big_V ifeq(A,A,truth,B),C)
% 50.66/50.79 Current number of equations to process: 3653
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1488
% 50.66/50.79 New rule produced : [1493] implies(truth big_V ifeq(A,A,truth,B),C) <-> C
% 50.66/50.79 Current number of equations to process: 3653
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1489
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1494] implies(truth,truth big_V A) <-> ifeq(B,B,truth,C) big_V A
% 50.66/50.79 Current number of equations to process: 3652
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1490
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1495] ifeq(B,B,truth,C) big_V A <-> implies(truth,truth big_V A)
% 50.66/50.79 Current number of equations to process: 3652
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1491
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1496] truth big_V ifeq(C,C,truth,X) <-> ifeq(A,A,truth,B)
% 50.66/50.79 Rule [1180] truth big_V ifeq(A,A,truth,B) <-> ifeq(A,A,truth,B) collapsed.
% 50.66/50.79 Current number of equations to process: 3651
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1491
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1497] ifeq(A,A,truth,B) <-> truth big_V ifeq(C,C,truth,X)
% 50.66/50.79 Rule [1181] ifeq(A,A,truth,B) <-> truth big_V ifeq(A,A,truth,B) collapsed.
% 50.66/50.79 Current number of equations to process: 3651
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1491
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1498] truth big_V ifeq(C,C,truth,X) <-> ifeq2(A,A,truth,B)
% 50.66/50.79 Current number of equations to process: 3650
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1492
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1499] ifeq2(A,A,truth,B) <-> truth big_V ifeq(C,C,truth,X)
% 50.66/50.79 Current number of equations to process: 3650
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1493
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1500] implies(implies(A,truth),truth) <-> ifeq(B,B,truth,C) big_V A
% 50.66/50.79 Current number of equations to process: 3649
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1494
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1501] ifeq(B,B,truth,C) big_V A <-> implies(implies(A,truth),truth)
% 50.66/50.79 Current number of equations to process: 3649
% 50.66/50.79 Current number of ordered equations: 0
% 50.66/50.79 Current number of rules: 1495
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1502] ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,A),A)
% 50.66/50.79 Current number of equations to process: 3723
% 50.66/50.79 Current number of ordered equations: 1
% 50.66/50.79 Current number of rules: 1496
% 50.66/50.79 New rule produced :
% 50.66/50.79 [1503] implies(implies(truth,A),A) <-> ifeq(B,B,implies(A,A),C)
% 50.66/50.79 Current number of equations to process: 3723
% 50.66/50.79 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1497
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1504] ifeq(B,B,implies(A,A),C) <-> (truth big_V truth) big_V A
% 62.77/62.84 Current number of equations to process: 3758
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1498
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1505] (truth big_V truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 62.77/62.84 Current number of equations to process: 3758
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1499
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1506] implies(truth big_V truth,truth) <-> ifeq(A,A,implies(truth,truth),B)
% 62.77/62.84 Current number of equations to process: 3757
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1500
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1507] ifeq(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 62.77/62.84 Current number of equations to process: 3757
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1501
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1508] implies(ordered(x,y),true) <-> ifeq(A,A,implies(true,true),B)
% 62.77/62.84 Current number of equations to process: 3756
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1502
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1509] ifeq(A,A,implies(true,true),B) <-> implies(ordered(x,y),true)
% 62.77/62.84 Current number of equations to process: 3756
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1503
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1510] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth big_V truth,true)
% 62.77/62.84 Current number of equations to process: 4228
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1504
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1511] implies(truth big_V truth,true) <-> ordered(x,ifeq2(A,A,y,B))
% 62.77/62.84 Current number of equations to process: 4228
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1505
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1512] ordered(ifeq2(A,A,x,B),y) <-> implies(truth big_V truth,true)
% 62.77/62.84 Current number of equations to process: 4294
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1506
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1513] implies(truth big_V truth,true) <-> ordered(ifeq2(A,A,x,B),y)
% 62.77/62.84 Current number of equations to process: 4294
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1507
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1514] implies(truth big_V truth,true) <-> ifeq2(A,A,ordered(x,y),B)
% 62.77/62.84 Current number of equations to process: 4352
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1508
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1515] ifeq2(A,A,ordered(x,y),B) <-> implies(truth big_V truth,true)
% 62.77/62.84 Current number of equations to process: 4352
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1509
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1516] ifeq2(B,B,truth big_V A,C) <-> implies(truth,truth) big_V A
% 62.77/62.84 Current number of equations to process: 4474
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1510
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1517] implies(truth,truth) big_V A <-> ifeq2(B,B,truth big_V A,C)
% 62.77/62.84 Current number of equations to process: 4474
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1511
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1518] ifeq2(C,C,truth big_V truth,X) <-> ifeq(A,A,truth,B)
% 62.77/62.84 Current number of equations to process: 4473
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1512
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1519] ifeq(A,A,truth,B) <-> ifeq2(C,C,truth big_V truth,X)
% 62.77/62.84 Current number of equations to process: 4473
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1513
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1520] ifeq2(C,C,truth big_V truth,X) <-> ifeq2(A,A,truth,B)
% 62.77/62.84 Current number of equations to process: 4472
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1514
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1521] ifeq2(A,A,truth,B) <-> ifeq2(C,C,truth big_V truth,X)
% 62.77/62.84 Current number of equations to process: 4472
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1515
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1522] truth <-> implies(truth,truth big_V ifeq2(A,A,truth,B))
% 62.77/62.84 Current number of equations to process: 4517
% 62.77/62.84 Current number of ordered equations: 1
% 62.77/62.84 Current number of rules: 1516
% 62.77/62.84 New rule produced :
% 62.77/62.84 [1523] implies(truth,truth big_V ifeq2(A,A,truth,B)) <-> truth
% 62.77/62.84 Current number of equations to process: 4517
% 62.77/62.84 Current number of ordered equations: 0
% 62.77/62.84 Current number of rules: 1517
% 62.77/62.84 New rule produced : [1524] C <-> implies(truth big_V ifeq2(A,A,truth,B),C)
% 70.51/70.64 Current number of equations to process: 4516
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1518
% 70.51/70.64 New rule produced : [1525] implies(truth big_V ifeq2(A,A,truth,B),C) <-> C
% 70.51/70.64 Current number of equations to process: 4516
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1519
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1526] implies(truth,truth big_V A) <-> ifeq2(B,B,truth,C) big_V A
% 70.51/70.64 Current number of equations to process: 4515
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1520
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1527] ifeq2(B,B,truth,C) big_V A <-> implies(truth,truth big_V A)
% 70.51/70.64 Current number of equations to process: 4515
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1521
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1528] truth big_V ifeq2(C,C,truth,X) <-> ifeq(A,A,truth,B)
% 70.51/70.64 Current number of equations to process: 4514
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1522
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1529] ifeq(A,A,truth,B) <-> truth big_V ifeq2(C,C,truth,X)
% 70.51/70.64 Current number of equations to process: 4514
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1523
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1530] truth big_V ifeq2(C,C,truth,X) <-> ifeq2(A,A,truth,B)
% 70.51/70.64 Rule [1218] truth big_V ifeq2(A,A,truth,B) <-> ifeq2(A,A,truth,B) collapsed.
% 70.51/70.64 Current number of equations to process: 4513
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1523
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1531] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(C,C,truth,X)
% 70.51/70.64 Rule [1219] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(A,A,truth,B) collapsed.
% 70.51/70.64 Current number of equations to process: 4513
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1523
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1532] implies(implies(A,truth),truth) <-> ifeq2(B,B,truth,C) big_V A
% 70.51/70.64 Current number of equations to process: 4512
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1524
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1533] ifeq2(B,B,truth,C) big_V A <-> implies(implies(A,truth),truth)
% 70.51/70.64 Current number of equations to process: 4512
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1525
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1534] ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,A),A)
% 70.51/70.64 Current number of equations to process: 4590
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1526
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1535] implies(implies(truth,A),A) <-> ifeq2(B,B,implies(A,A),C)
% 70.51/70.64 Current number of equations to process: 4590
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1527
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1536] ifeq2(B,B,implies(A,A),C) <-> (truth big_V truth) big_V A
% 70.51/70.64 Current number of equations to process: 4626
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1528
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1537] (truth big_V truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 70.51/70.64 Current number of equations to process: 4626
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1529
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1538] implies(truth big_V truth,truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 70.51/70.64 Current number of equations to process: 4625
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1530
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1539] ifeq2(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 70.51/70.64 Current number of equations to process: 4625
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1531
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1540] ifeq2(A,A,implies(true,true),B) <-> implies(ordered(x,y),true)
% 70.51/70.64 Current number of equations to process: 4624
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1532
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1541] implies(ordered(x,y),true) <-> ifeq2(A,A,implies(true,true),B)
% 70.51/70.64 Current number of equations to process: 4624
% 70.51/70.64 Current number of ordered equations: 0
% 70.51/70.64 Current number of rules: 1533
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1542] implies(truth,implies(implies(A,A),A)) <-> implies(truth big_V A,A)
% 70.51/70.64 Current number of equations to process: 4975
% 70.51/70.64 Current number of ordered equations: 1
% 70.51/70.64 Current number of rules: 1534
% 70.51/70.64 New rule produced :
% 70.51/70.64 [1543] implies(truth big_V A,A) <-> implies(truth,implies(implies(A,A),A))
% 70.51/70.64 Current number of equations to process: 4975
% 70.51/70.64 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1535
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1544]
% 73.56/73.65 implies(truth,implies(implies(truth,true),true)) <->
% 73.56/73.65 implies(ordered(x,y),true)
% 73.56/73.65 Current number of equations to process: 4974
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1536
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1545]
% 73.56/73.65 implies(ordered(x,y),true) <->
% 73.56/73.65 implies(truth,implies(implies(truth,true),true))
% 73.56/73.65 Current number of equations to process: 4974
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1537
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1546]
% 73.56/73.65 implies(truth,implies(A,A)) <-> implies(implies(truth,implies(truth,A)),A)
% 73.56/73.65 Current number of equations to process: 3032
% 73.56/73.65 Current number of ordered equations: 3
% 73.56/73.65 Current number of rules: 1538
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1547]
% 73.56/73.65 implies(truth,implies(A,A)) <->
% 73.56/73.65 implies(implies(truth,implies(A,truth)),truth)
% 73.56/73.65 Current number of equations to process: 3032
% 73.56/73.65 Current number of ordered equations: 2
% 73.56/73.65 Current number of rules: 1539
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1548]
% 73.56/73.65 implies(implies(truth,implies(truth,A)),A) <-> implies(truth,implies(A,A))
% 73.56/73.65 Current number of equations to process: 3032
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1540
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1549]
% 73.56/73.65 implies(implies(truth,implies(A,truth)),truth) <->
% 73.56/73.65 implies(truth,implies(A,A))
% 73.56/73.65 Current number of equations to process: 3032
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1541
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1550] implies(truth,truth) <-> not(truth) big_V not(not(truth))
% 73.56/73.65 Current number of equations to process: 3099
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1542
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1551] not(truth) big_V not(not(truth)) <-> implies(truth,truth)
% 73.56/73.65 Current number of equations to process: 3099
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1543
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1552] truth big_V ordered(x,y) <-> implies(truth,implies(true,ordered(x,y)))
% 73.56/73.65 Current number of equations to process: 3132
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1544
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1553] implies(truth,implies(true,ordered(x,y))) <-> truth big_V ordered(x,y)
% 73.56/73.65 Current number of equations to process: 3132
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1545
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1554]
% 73.56/73.65 truth big_V implies(truth,A) <-> implies(truth,implies(A,implies(truth,A)))
% 73.56/73.65 Current number of equations to process: 3131
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1546
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1555]
% 73.56/73.65 implies(truth,implies(A,implies(truth,A))) <-> truth big_V implies(truth,A)
% 73.56/73.65 Current number of equations to process: 3131
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1547
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1556]
% 73.56/73.65 true big_V implies(truth,truth) <-> implies(truth,implies(ordered(x,y),true))
% 73.56/73.65 Current number of equations to process: 3130
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1548
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1557]
% 73.56/73.65 implies(truth,implies(ordered(x,y),true)) <-> true big_V implies(truth,truth)
% 73.56/73.65 Current number of equations to process: 3130
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1549
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1558]
% 73.56/73.65 truth big_V implies(A,truth) <-> implies(truth,implies(implies(A,A),truth))
% 73.56/73.65 Current number of equations to process: 3129
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1550
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1559]
% 73.56/73.65 implies(truth,implies(implies(A,A),truth)) <-> truth big_V implies(A,truth)
% 73.56/73.65 Current number of equations to process: 3129
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1551
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1560] (truth big_V A) big_V A <-> implies(truth,implies(A big_V A,A))
% 73.56/73.65 Current number of equations to process: 3128
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1552
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1561] implies(truth,implies(A big_V A,A)) <-> (truth big_V A) big_V A
% 73.56/73.65 Current number of equations to process: 3128
% 73.56/73.65 Current number of ordered equations: 0
% 73.56/73.65 Current number of rules: 1553
% 73.56/73.65 New rule produced :
% 73.56/73.65 [1562]
% 73.56/73.65 true big_V ordered(x,y) <-> implies(truth,implies(true big_V truth,true))
% 73.56/73.65 Current number of equations to process: 3127
% 73.56/73.65 Current number of ordered equations: 1
% 73.56/73.65 Current number of rules: 1554
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1563]
% 77.16/77.30 implies(truth,implies(true big_V truth,true)) <-> true big_V ordered(x,y)
% 77.16/77.30 Current number of equations to process: 3127
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1555
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1564] implies(truth,implies(truth,A)) <-> implies(not(A),not(truth)) big_V A
% 77.16/77.30 Current number of equations to process: 3126
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1556
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1565] implies(not(A),not(truth)) big_V A <-> implies(truth,implies(truth,A))
% 77.16/77.30 Current number of equations to process: 3126
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1557
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1566] implies(truth,truth) big_V A <-> implies(implies(truth,A),A)
% 77.16/77.30 Current number of equations to process: 3154
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1558
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1567] implies(implies(truth,A),A) <-> implies(truth,truth) big_V A
% 77.16/77.30 Current number of equations to process: 3154
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1559
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1568] truth big_V ordered(x,y) <-> implies(implies(truth,true),ordered(x,y))
% 77.16/77.30 Current number of equations to process: 3221
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1560
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1569] implies(implies(truth,true),ordered(x,y)) <-> truth big_V ordered(x,y)
% 77.16/77.30 Current number of equations to process: 3221
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1561
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1570]
% 77.16/77.30 true big_V implies(truth,truth) <-> implies(implies(truth,ordered(x,y)),true)
% 77.16/77.30 Current number of equations to process: 3220
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1562
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1571]
% 77.16/77.30 implies(implies(truth,ordered(x,y)),true) <-> true big_V implies(truth,truth)
% 77.16/77.30 Current number of equations to process: 3220
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1563
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1572] (truth big_V A) big_V A <-> implies(implies(truth,A big_V A),A)
% 77.16/77.30 Current number of equations to process: 3219
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1564
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1573] implies(implies(truth,A big_V A),A) <-> (truth big_V A) big_V A
% 77.16/77.30 Current number of equations to process: 3219
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1565
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1574]
% 77.16/77.30 true big_V ordered(x,y) <-> implies(implies(truth,true big_V truth),true)
% 77.16/77.30 Current number of equations to process: 3218
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1566
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1575]
% 77.16/77.30 implies(implies(truth,true big_V truth),true) <-> true big_V ordered(x,y)
% 77.16/77.30 Current number of equations to process: 3218
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1567
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1576] implies(implies(truth,A),A) <-> ifeq(B,B,truth,C) big_V A
% 77.16/77.30 Current number of equations to process: 3217
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1568
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1577] ifeq(B,B,truth,C) big_V A <-> implies(implies(truth,A),A)
% 77.16/77.30 Current number of equations to process: 3217
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1569
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1578] implies(implies(truth,A),A) <-> ifeq2(B,B,truth,C) big_V A
% 77.16/77.30 Current number of equations to process: 3216
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1570
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1579] ifeq2(B,B,truth,C) big_V A <-> implies(implies(truth,A),A)
% 77.16/77.30 Current number of equations to process: 3216
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1571
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1580] implies(implies(truth,truth),A) <-> implies(not(A),not(truth)) big_V A
% 77.16/77.30 Current number of equations to process: 3215
% 77.16/77.30 Current number of ordered equations: 1
% 77.16/77.30 Current number of rules: 1572
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1581] implies(not(A),not(truth)) big_V A <-> implies(implies(truth,truth),A)
% 77.16/77.30 Current number of equations to process: 3215
% 77.16/77.30 Current number of ordered equations: 0
% 77.16/77.30 Current number of rules: 1573
% 77.16/77.30 New rule produced :
% 77.16/77.30 [1582] implies(truth,truth) <-> implies(truth big_V not(A),implies(A,A))
% 77.16/77.30 Current number of equations to process: 3305
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1574
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1583] implies(truth big_V not(A),implies(A,A)) <-> implies(truth,truth)
% 163.73/163.84 Current number of equations to process: 3305
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1575
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1584] truth <-> implies(truth big_V not(A),truth big_V A)
% 163.73/163.84 Current number of equations to process: 3404
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1576
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1585] implies(truth big_V not(A),truth big_V A) <-> truth
% 163.73/163.84 Current number of equations to process: 3404
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1577
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1586] truth big_V truth <-> implies(truth big_V not(A),implies(A,A))
% 163.73/163.84 Current number of equations to process: 3408
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1578
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1587] implies(truth big_V not(A),implies(A,A)) <-> truth big_V truth
% 163.73/163.84 Current number of equations to process: 3408
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1579
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1588] not(not(A) big_V not(B)) <-> implies(truth,implies(truth,A big_hat B))
% 163.73/163.84 Current number of equations to process: 3529
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1580
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1589] implies(truth,implies(truth,A big_hat B)) <-> not(not(A) big_V not(B))
% 163.73/163.84 Current number of equations to process: 3529
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1581
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1590] not(not(A) big_V not(B)) <-> implies(implies(truth,truth),A big_hat B)
% 163.73/163.84 Current number of equations to process: 3528
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1582
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1591] implies(implies(truth,truth),A big_hat B) <-> not(not(A) big_V not(B))
% 163.73/163.84 Current number of equations to process: 3528
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1583
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1592] not(not(A) big_V not(B)) <-> implies(truth big_V truth,A big_hat B)
% 163.73/163.84 Current number of equations to process: 3525
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1584
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1593] implies(truth big_V truth,A big_hat B) <-> not(not(A) big_V not(B))
% 163.73/163.84 Current number of equations to process: 3525
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1585
% 163.73/163.84 New rule produced : [1594] ordered(truth,truth) <-> ifeq(A,A,true,B)
% 163.73/163.84 Current number of equations to process: 4782
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1586
% 163.73/163.84 New rule produced : [1595] ifeq(A,A,true,B) <-> ordered(truth,truth)
% 163.73/163.84 Current number of equations to process: 4782
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1587
% 163.73/163.84 New rule produced : [1596] ordered(truth,truth) <-> ifeq2(A,A,true,B)
% 163.73/163.84 Current number of equations to process: 2285
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1588
% 163.73/163.84 New rule produced : [1597] ifeq2(A,A,true,B) <-> ordered(truth,truth)
% 163.73/163.84 Current number of equations to process: 2285
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1589
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1598] implies(truth,A big_V B) <-> implies(implies(truth,implies(B,A)),A)
% 163.73/163.84 Current number of equations to process: 3322
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1590
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1599] implies(implies(truth,implies(B,A)),A) <-> implies(truth,A big_V B)
% 163.73/163.84 Current number of equations to process: 3322
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1591
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1600] (truth big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 163.73/163.84 Current number of equations to process: 3453
% 163.73/163.84 Current number of ordered equations: 1
% 163.73/163.84 Current number of rules: 1592
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1601] implies(implies(implies(A,A),A),A) <-> (truth big_V A) big_V A
% 163.73/163.84 Current number of equations to process: 3453
% 163.73/163.84 Current number of ordered equations: 0
% 163.73/163.84 Current number of rules: 1593
% 163.73/163.84 New rule produced :
% 163.73/163.84 [1602] truth big_V truth <-> ifeq(ordered(A,B),true,implies(A,B),truth)
% 163.73/163.84 Current number of equations to process: 3193
% 163.73/163.84 Current number of ordered equations: 1
% 164.47/164.54 Current number of rules: 1594
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1603] ifeq(ordered(A,B),true,implies(A,B),truth) <-> truth big_V truth
% 164.47/164.54 Current number of equations to process: 3193
% 164.47/164.54 Current number of ordered equations: 0
% 164.47/164.54 Current number of rules: 1595
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1604] truth big_V truth <-> implies(implies(not(A),not(B)),implies(B,A))
% 164.47/164.54 Current number of equations to process: 3192
% 164.47/164.54 Current number of ordered equations: 1
% 164.47/164.54 Current number of rules: 1596
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1605] implies(implies(not(A),not(B)),implies(B,A)) <-> truth big_V truth
% 164.47/164.54 Current number of equations to process: 3192
% 164.47/164.54 Current number of ordered equations: 0
% 164.47/164.54 Current number of rules: 1597
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1606] A big_V B <-> implies(truth,implies(truth,implies(implies(A,B),B)))
% 164.47/164.54 Current number of equations to process: 3190
% 164.47/164.54 Current number of ordered equations: 3
% 164.47/164.54 Current number of rules: 1598
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1607] A big_V B <-> implies(implies(truth,implies(truth,implies(A,B))),B)
% 164.47/164.54 Current number of equations to process: 3190
% 164.47/164.54 Current number of ordered equations: 2
% 164.47/164.54 Current number of rules: 1599
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1608] implies(truth,implies(truth,implies(implies(A,B),B))) <-> A big_V B
% 164.47/164.54 Current number of equations to process: 3190
% 164.47/164.54 Current number of ordered equations: 1
% 164.47/164.54 Current number of rules: 1600
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1609] implies(implies(truth,implies(truth,implies(A,B))),B) <-> A big_V B
% 164.47/164.54 Current number of equations to process: 3190
% 164.47/164.54 Current number of ordered equations: 0
% 164.47/164.54 Current number of rules: 1601
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1610] A big_V B <-> implies(implies(truth,truth),implies(implies(A,B),B))
% 164.47/164.54 Current number of equations to process: 3188
% 164.47/164.54 Current number of ordered equations: 3
% 164.47/164.54 Current number of rules: 1602
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1611] A big_V B <-> implies(implies(implies(truth,truth),implies(A,B)),B)
% 164.47/164.54 Current number of equations to process: 3188
% 164.47/164.54 Current number of ordered equations: 2
% 164.47/164.54 Current number of rules: 1603
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1612] implies(implies(truth,truth),implies(implies(A,B),B)) <-> A big_V B
% 164.47/164.54 Current number of equations to process: 3188
% 164.47/164.54 Current number of ordered equations: 1
% 164.47/164.54 Current number of rules: 1604
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1613] implies(implies(implies(truth,truth),implies(A,B)),B) <-> A big_V B
% 164.47/164.54 Current number of equations to process: 3188
% 164.47/164.54 Current number of ordered equations: 0
% 164.47/164.54 Current number of rules: 1605
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1614]
% 164.47/164.54 implies(A,A) <->
% 164.47/164.54 implies(implies(A,implies(truth,truth)),implies(truth,truth))
% 164.47/164.54 Current number of equations to process: 3187
% 164.47/164.54 Current number of ordered equations: 1
% 164.47/164.54 Current number of rules: 1606
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1615]
% 164.47/164.54 implies(implies(A,implies(truth,truth)),implies(truth,truth)) <->
% 164.47/164.54 implies(A,A)
% 164.47/164.54 Current number of equations to process: 3187
% 164.47/164.54 Current number of ordered equations: 0
% 164.47/164.54 Current number of rules: 1607
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1616] ordered(x,implies(truth,ifeq(A,A,y,B))) <-> implies(truth,true)
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 9
% 164.47/164.54 Current number of rules: 1608
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1617] ordered(x,implies(ifeq(A,A,truth,B),y)) <-> implies(truth,true)
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 8
% 164.47/164.54 Current number of rules: 1609
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1618] ordered(x,ifeq(A,A,implies(truth,y),B)) <-> implies(truth,true)
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 7
% 164.47/164.54 Current number of rules: 1610
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1619] ordered(ifeq(A,A,x,B),implies(truth,y)) <-> implies(truth,true)
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 6
% 164.47/164.54 Current number of rules: 1611
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1620] implies(truth,true) <-> ordered(x,implies(truth,ifeq(A,A,y,B)))
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 5
% 164.47/164.54 Current number of rules: 1612
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1621] implies(truth,true) <-> ordered(x,implies(ifeq(A,A,truth,B),y))
% 164.47/164.54 Current number of equations to process: 3182
% 164.47/164.54 Current number of ordered equations: 4
% 164.47/164.54 Current number of rules: 1613
% 164.47/164.54 New rule produced :
% 164.47/164.54 [1622] implies(truth,true) <-> ordered(x,ifeq(A,A,implies(truth,y),B))
% 164.47/164.54 Current number of equations to process: 3182
% 165.06/165.20 Current number of ordered equations: 3
% 165.06/165.20 Current number of rules: 1614
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1623] implies(truth,true) <-> ordered(ifeq(A,A,x,B),implies(truth,y))
% 165.06/165.20 Current number of equations to process: 3182
% 165.06/165.20 Current number of ordered equations: 2
% 165.06/165.20 Current number of rules: 1615
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1624] implies(truth,true) <-> ifeq(A,A,ordered(x,implies(truth,y)),B)
% 165.06/165.20 Current number of equations to process: 3182
% 165.06/165.20 Current number of ordered equations: 1
% 165.06/165.20 Current number of rules: 1616
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1625] ifeq(A,A,ordered(x,implies(truth,y)),B) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3182
% 165.06/165.20 Current number of ordered equations: 0
% 165.06/165.20 Current number of rules: 1617
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1626] ordered(x,implies(truth,ifeq2(A,A,y,B))) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 9
% 165.06/165.20 Current number of rules: 1618
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1627] ordered(x,implies(ifeq2(A,A,truth,B),y)) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 8
% 165.06/165.20 Current number of rules: 1619
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1628] ordered(x,ifeq2(A,A,implies(truth,y),B)) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 7
% 165.06/165.20 Current number of rules: 1620
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1629] ordered(ifeq2(A,A,x,B),implies(truth,y)) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 6
% 165.06/165.20 Current number of rules: 1621
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1630] implies(truth,true) <-> ordered(x,implies(truth,ifeq2(A,A,y,B)))
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 5
% 165.06/165.20 Current number of rules: 1622
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1631] implies(truth,true) <-> ordered(x,implies(ifeq2(A,A,truth,B),y))
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 4
% 165.06/165.20 Current number of rules: 1623
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1632] implies(truth,true) <-> ordered(x,ifeq2(A,A,implies(truth,y),B))
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 3
% 165.06/165.20 Current number of rules: 1624
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1633] implies(truth,true) <-> ordered(ifeq2(A,A,x,B),implies(truth,y))
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 2
% 165.06/165.20 Current number of rules: 1625
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1634] implies(truth,true) <-> ifeq2(A,A,ordered(x,implies(truth,y)),B)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 1
% 165.06/165.20 Current number of rules: 1626
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1635] ifeq2(A,A,ordered(x,implies(truth,y)),B) <-> implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3177
% 165.06/165.20 Current number of ordered equations: 0
% 165.06/165.20 Current number of rules: 1627
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1636]
% 165.06/165.20 ordered(x,implies(truth,implies(truth,implies(truth,y)))) <->
% 165.06/165.20 implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 5
% 165.06/165.20 Current number of rules: 1628
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1637]
% 165.06/165.20 ordered(x,implies(implies(truth,implies(truth,truth)),y)) <->
% 165.06/165.20 implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 4
% 165.06/165.20 Current number of rules: 1629
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1638]
% 165.06/165.20 ordered(implies(truth,implies(truth,x)),implies(truth,y)) <->
% 165.06/165.20 implies(truth,true)
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 3
% 165.06/165.20 Current number of rules: 1630
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1639]
% 165.06/165.20 implies(truth,true) <->
% 165.06/165.20 ordered(x,implies(truth,implies(truth,implies(truth,y))))
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 2
% 165.06/165.20 Current number of rules: 1631
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1640]
% 165.06/165.20 implies(truth,true) <->
% 165.06/165.20 ordered(x,implies(implies(truth,implies(truth,truth)),y))
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 1
% 165.06/165.20 Current number of rules: 1632
% 165.06/165.20 New rule produced :
% 165.06/165.20 [1641]
% 165.06/165.20 implies(truth,true) <->
% 165.06/165.20 ordered(implies(truth,implies(truth,x)),implies(truth,y))
% 165.06/165.20 Current number of equations to process: 3174
% 165.06/165.20 Current number of ordered equations: 0
% 165.06/165.20 Current number of rules: 1633
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1642]
% 165.95/166.02 ordered(x,implies(implies(truth,truth),implies(truth,y))) <->
% 165.95/166.02 implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 9
% 165.95/166.02 Current number of rules: 1634
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1643]
% 165.95/166.02 ordered(x,implies(truth,implies(implies(truth,truth),y))) <->
% 165.95/166.02 implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 8
% 165.95/166.02 Current number of rules: 1635
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1644]
% 165.95/166.02 ordered(x,implies(implies(implies(truth,truth),truth),y)) <->
% 165.95/166.02 implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 7
% 165.95/166.02 Current number of rules: 1636
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1645]
% 165.95/166.02 implies(truth,true) <->
% 165.95/166.02 ordered(x,implies(implies(truth,truth),implies(truth,y)))
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 6
% 165.95/166.02 Current number of rules: 1637
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1646]
% 165.95/166.02 implies(truth,true) <->
% 165.95/166.02 ordered(x,implies(truth,implies(implies(truth,truth),y)))
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 5
% 165.95/166.02 Current number of rules: 1638
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1647]
% 165.95/166.02 implies(truth,true) <->
% 165.95/166.02 ordered(x,implies(implies(implies(truth,truth),truth),y))
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 4
% 165.95/166.02 Current number of rules: 1639
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1648]
% 165.95/166.02 implies(truth,true) <->
% 165.95/166.02 implies(implies(truth,truth),ordered(x,implies(truth,y)))
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 3
% 165.95/166.02 Current number of rules: 1640
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1649]
% 165.95/166.02 implies(truth,true) <->
% 165.95/166.02 ordered(implies(implies(truth,truth),x),implies(truth,y))
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 2
% 165.95/166.02 Current number of rules: 1641
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1650]
% 165.95/166.02 implies(implies(truth,truth),ordered(x,implies(truth,y))) <->
% 165.95/166.02 implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 1
% 165.95/166.02 Current number of rules: 1642
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1651]
% 165.95/166.02 ordered(implies(implies(truth,truth),x),implies(truth,y)) <->
% 165.95/166.02 implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3169
% 165.95/166.02 Current number of ordered equations: 0
% 165.95/166.02 Current number of rules: 1643
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1652] ordered(implies(truth,x),ifeq(A,A,y,B)) <-> implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 9
% 165.95/166.02 Current number of rules: 1644
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1653] ordered(implies(truth,ifeq(A,A,x,B)),y) <-> implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 8
% 165.95/166.02 Current number of rules: 1645
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1654] implies(truth,true) <-> ordered(implies(truth,x),ifeq(A,A,y,B))
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 7
% 165.95/166.02 Current number of rules: 1646
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1655] implies(truth,true) <-> ordered(implies(truth,ifeq(A,A,x,B)),y)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 6
% 165.95/166.02 Current number of rules: 1647
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1656] implies(truth,true) <-> ordered(ifeq(A,A,implies(truth,x),B),y)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 5
% 165.95/166.02 Current number of rules: 1648
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1657] implies(truth,true) <-> ordered(implies(ifeq(A,A,truth,B),x),y)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 4
% 165.95/166.02 Current number of rules: 1649
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1658] implies(truth,true) <-> ifeq(A,A,ordered(implies(truth,x),y),B)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 3
% 165.95/166.02 Current number of rules: 1650
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1659] ordered(ifeq(A,A,implies(truth,x),B),y) <-> implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 2
% 165.95/166.02 Current number of rules: 1651
% 165.95/166.02 New rule produced :
% 165.95/166.02 [1660] ordered(implies(ifeq(A,A,truth,B),x),y) <-> implies(truth,true)
% 165.95/166.02 Current number of equations to process: 3164
% 165.95/166.02 Current number of ordered equations: 1
% 165.95/166.02 Current number of rules: 1652
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1661] ifeq(A,A,ordered(implies(truth,x),y),B) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3164
% 166.79/166.86 Current number of ordered equations: 0
% 166.79/166.86 Current number of rules: 1653
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1662] ordered(implies(truth,x),ifeq2(A,A,y,B)) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 9
% 166.79/166.86 Current number of rules: 1654
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1663] ordered(implies(truth,ifeq2(A,A,x,B)),y) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 8
% 166.79/166.86 Current number of rules: 1655
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1664] implies(truth,true) <-> ordered(implies(truth,x),ifeq2(A,A,y,B))
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 7
% 166.79/166.86 Current number of rules: 1656
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1665] implies(truth,true) <-> ordered(implies(truth,ifeq2(A,A,x,B)),y)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 6
% 166.79/166.86 Current number of rules: 1657
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1666] implies(truth,true) <-> ordered(ifeq2(A,A,implies(truth,x),B),y)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 5
% 166.79/166.86 Current number of rules: 1658
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1667] implies(truth,true) <-> ordered(implies(ifeq2(A,A,truth,B),x),y)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 4
% 166.79/166.86 Current number of rules: 1659
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1668] implies(truth,true) <-> ifeq2(A,A,ordered(implies(truth,x),y),B)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 3
% 166.79/166.86 Current number of rules: 1660
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1669] ordered(ifeq2(A,A,implies(truth,x),B),y) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 2
% 166.79/166.86 Current number of rules: 1661
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1670] ordered(implies(ifeq2(A,A,truth,B),x),y) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 1
% 166.79/166.86 Current number of rules: 1662
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1671] ifeq2(A,A,ordered(implies(truth,x),y),B) <-> implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3159
% 166.79/166.86 Current number of ordered equations: 0
% 166.79/166.86 Current number of rules: 1663
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1672]
% 166.79/166.86 ordered(implies(truth,x),implies(truth,implies(truth,y))) <->
% 166.79/166.86 implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 5
% 166.79/166.86 Current number of rules: 1664
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1673]
% 166.79/166.86 implies(truth,true) <->
% 166.79/166.86 ordered(implies(truth,x),implies(truth,implies(truth,y)))
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 4
% 166.79/166.86 Current number of rules: 1665
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1674]
% 166.79/166.86 implies(truth,true) <->
% 166.79/166.86 ordered(implies(truth,implies(truth,implies(truth,x))),y)
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 3
% 166.79/166.86 Current number of rules: 1666
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1675]
% 166.79/166.86 implies(truth,true) <->
% 166.79/166.86 ordered(implies(implies(truth,implies(truth,truth)),x),y)
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 2
% 166.79/166.86 Current number of rules: 1667
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1676]
% 166.79/166.86 ordered(implies(truth,implies(truth,implies(truth,x))),y) <->
% 166.79/166.86 implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 1
% 166.79/166.86 Current number of rules: 1668
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1677]
% 166.79/166.86 ordered(implies(implies(truth,implies(truth,truth)),x),y) <->
% 166.79/166.86 implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3156
% 166.79/166.86 Current number of ordered equations: 0
% 166.79/166.86 Current number of rules: 1669
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1678]
% 166.79/166.86 ordered(implies(truth,x),implies(implies(truth,truth),y)) <->
% 166.79/166.86 implies(truth,true)
% 166.79/166.86 Current number of equations to process: 3151
% 166.79/166.86 Current number of ordered equations: 9
% 166.79/166.86 Current number of rules: 1670
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1679]
% 166.79/166.86 implies(truth,true) <->
% 166.79/166.86 ordered(implies(truth,x),implies(implies(truth,truth),y))
% 166.79/166.86 Current number of equations to process: 3151
% 166.79/166.86 Current number of ordered equations: 8
% 166.79/166.86 Current number of rules: 1671
% 166.79/166.86 New rule produced :
% 166.79/166.86 [1680]
% 166.79/166.86 implies(truth,true) <->
% 167.56/167.63 implies(implies(truth,truth),ordered(implies(truth,x),y))
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 7
% 167.56/167.63 Current number of rules: 1672
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1681]
% 167.56/167.63 implies(truth,true) <->
% 167.56/167.63 ordered(implies(truth,implies(implies(truth,truth),x)),y)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 6
% 167.56/167.63 Current number of rules: 1673
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1682]
% 167.56/167.63 implies(truth,true) <->
% 167.56/167.63 ordered(implies(implies(truth,truth),implies(truth,x)),y)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 5
% 167.56/167.63 Current number of rules: 1674
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1683]
% 167.56/167.63 implies(truth,true) <->
% 167.56/167.63 ordered(implies(implies(implies(truth,truth),truth),x),y)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 4
% 167.56/167.63 Current number of rules: 1675
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1684]
% 167.56/167.63 implies(implies(truth,truth),ordered(implies(truth,x),y)) <->
% 167.56/167.63 implies(truth,true)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 3
% 167.56/167.63 Current number of rules: 1676
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1685]
% 167.56/167.63 ordered(implies(truth,implies(implies(truth,truth),x)),y) <->
% 167.56/167.63 implies(truth,true)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 2
% 167.56/167.63 Current number of rules: 1677
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1686]
% 167.56/167.63 ordered(implies(implies(truth,truth),implies(truth,x)),y) <->
% 167.56/167.63 implies(truth,true)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 1
% 167.56/167.63 Current number of rules: 1678
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1687]
% 167.56/167.63 ordered(implies(implies(implies(truth,truth),truth),x),y) <->
% 167.56/167.63 implies(truth,true)
% 167.56/167.63 Current number of equations to process: 3151
% 167.56/167.63 Current number of ordered equations: 0
% 167.56/167.63 Current number of rules: 1679
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1688] ifeq(A,A,implies(truth,truth),B) big_V C <-> implies(C,C)
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 7
% 167.56/167.63 Current number of rules: 1680
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1689] implies(B,B) <-> ifeq(A,A,implies(truth,truth) big_V B,C)
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 6
% 167.56/167.63 Current number of rules: 1681
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1690] implies(C,C) <-> ifeq(A,A,implies(truth,truth),B) big_V C
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 5
% 167.56/167.63 Current number of rules: 1682
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1691] implies(C,C) <-> implies(truth,ifeq(A,A,truth,B)) big_V C
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 4
% 167.56/167.63 Current number of rules: 1683
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1692] implies(C,C) <-> implies(ifeq(A,A,truth,B),truth) big_V C
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 3
% 167.56/167.63 Current number of rules: 1684
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1693] implies(truth,ifeq(A,A,truth,B)) big_V C <-> implies(C,C)
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 2
% 167.56/167.63 Current number of rules: 1685
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1694] implies(ifeq(A,A,truth,B),truth) big_V C <-> implies(C,C)
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 1
% 167.56/167.63 Current number of rules: 1686
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1695] ifeq(A,A,implies(truth,truth) big_V B,C) <-> implies(B,B)
% 167.56/167.63 Current number of equations to process: 3147
% 167.56/167.63 Current number of ordered equations: 0
% 167.56/167.63 Current number of rules: 1687
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1696] ifeq2(A,A,implies(truth,truth) big_V B,C) <-> implies(B,B)
% 167.56/167.63 Current number of equations to process: 3143
% 167.56/167.63 Current number of ordered equations: 7
% 167.56/167.63 Current number of rules: 1688
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1697] ifeq2(A,A,implies(truth,truth),B) big_V C <-> implies(C,C)
% 167.56/167.63 Current number of equations to process: 3143
% 167.56/167.63 Current number of ordered equations: 6
% 167.56/167.63 Current number of rules: 1689
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1698] implies(B,B) <-> ifeq2(A,A,implies(truth,truth) big_V B,C)
% 167.56/167.63 Current number of equations to process: 3143
% 167.56/167.63 Current number of ordered equations: 5
% 167.56/167.63 Current number of rules: 1690
% 167.56/167.63 New rule produced :
% 167.56/167.63 [1699] implies(C,C) <-> ifeq2(A,A,implies(truth,truth),B) big_V C
% 167.56/167.63 Current number of equations to process: 3143
% 167.56/167.63 Current number of ordered equations: 4
% 168.24/168.38 Current number of rules: 1691
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1700] implies(C,C) <-> implies(truth,ifeq2(A,A,truth,B)) big_V C
% 168.24/168.38 Current number of equations to process: 3143
% 168.24/168.38 Current number of ordered equations: 3
% 168.24/168.38 Current number of rules: 1692
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1701] implies(C,C) <-> implies(ifeq2(A,A,truth,B),truth) big_V C
% 168.24/168.38 Current number of equations to process: 3143
% 168.24/168.38 Current number of ordered equations: 2
% 168.24/168.38 Current number of rules: 1693
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1702] implies(truth,ifeq2(A,A,truth,B)) big_V C <-> implies(C,C)
% 168.24/168.38 Current number of equations to process: 3143
% 168.24/168.38 Current number of ordered equations: 1
% 168.24/168.38 Current number of rules: 1694
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1703] implies(ifeq2(A,A,truth,B),truth) big_V C <-> implies(C,C)
% 168.24/168.38 Current number of equations to process: 3143
% 168.24/168.38 Current number of ordered equations: 0
% 168.24/168.38 Current number of rules: 1695
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1704]
% 168.24/168.38 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth) big_V A))
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 5
% 168.24/168.38 Current number of rules: 1696
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1705]
% 168.24/168.38 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth))) big_V A
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 4
% 168.24/168.38 Current number of rules: 1697
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1706]
% 168.24/168.38 implies(A,A) <-> implies(implies(truth,implies(truth,truth)),truth) big_V A
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 3
% 168.24/168.38 Current number of rules: 1698
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1707]
% 168.24/168.38 implies(truth,implies(truth,implies(truth,truth) big_V A)) <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 2
% 168.24/168.38 Current number of rules: 1699
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1708]
% 168.24/168.38 implies(truth,implies(truth,implies(truth,truth))) big_V A <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 1
% 168.24/168.38 Current number of rules: 1700
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1709]
% 168.24/168.38 implies(implies(truth,implies(truth,truth)),truth) big_V A <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3139
% 168.24/168.38 Current number of ordered equations: 0
% 168.24/168.38 Current number of rules: 1701
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1710]
% 168.24/168.38 implies(implies(implies(truth,truth),truth),truth) big_V A <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 7
% 168.24/168.38 Current number of rules: 1702
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1711]
% 168.24/168.38 implies(A,A) <-> implies(implies(implies(truth,truth),truth),truth) big_V A
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 6
% 168.24/168.38 Current number of rules: 1703
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1712]
% 168.24/168.38 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth) big_V A)
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 5
% 168.24/168.38 Current number of rules: 1704
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1713]
% 168.24/168.38 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth)) big_V A
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 4
% 168.24/168.38 Current number of rules: 1705
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1714]
% 168.24/168.38 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth)) big_V A
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 3
% 168.24/168.38 Current number of rules: 1706
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1715]
% 168.24/168.38 implies(implies(truth,truth),implies(truth,truth) big_V A) <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 2
% 168.24/168.38 Current number of rules: 1707
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1716]
% 168.24/168.38 implies(implies(truth,truth),implies(truth,truth)) big_V A <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 1
% 168.24/168.38 Current number of rules: 1708
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1717]
% 168.24/168.38 implies(truth,implies(implies(truth,truth),truth)) big_V A <-> implies(A,A)
% 168.24/168.38 Current number of equations to process: 3135
% 168.24/168.38 Current number of ordered equations: 0
% 168.24/168.38 Current number of rules: 1709
% 168.24/168.38 New rule produced :
% 168.24/168.38 [1718] truth <-> implies(not(A) big_V implies(truth,truth),implies(A,A))
% 168.24/168.38 Current number of equations to process: 3134
% 168.24/168.38 Current number of ordered equations: 1
% 168.24/168.38 Current number of rules: 1710
% 168.24/168.38 New rule produced :
% 169.07/169.19 [1719] implies(not(A) big_V implies(truth,truth),implies(A,A)) <-> truth
% 169.07/169.19 Current number of equations to process: 3134
% 169.07/169.19 Current number of ordered equations: 0
% 169.07/169.19 Current number of rules: 1711
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1720] truth <-> implies(implies(truth,truth big_V not(A)),implies(A,A))
% 169.07/169.19 Current number of equations to process: 3133
% 169.07/169.19 Current number of ordered equations: 1
% 169.07/169.19 Current number of rules: 1712
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1721] implies(implies(truth,truth big_V not(A)),implies(A,A)) <-> truth
% 169.07/169.19 Current number of equations to process: 3133
% 169.07/169.19 Current number of ordered equations: 0
% 169.07/169.19 Current number of rules: 1713
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1722] implies(B,B) <-> implies(truth,ifeq(A,A,truth big_V B,C))
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 7
% 169.07/169.19 Current number of rules: 1714
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1723] implies(B,B) <-> ifeq(A,A,implies(truth,truth big_V B),C)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 6
% 169.07/169.19 Current number of rules: 1715
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1724] implies(C,C) <-> implies(truth,ifeq(A,A,truth,B) big_V C)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 5
% 169.07/169.19 Current number of rules: 1716
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1725] implies(C,C) <-> implies(ifeq(A,A,truth,B),truth big_V C)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 4
% 169.07/169.19 Current number of rules: 1717
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1726] implies(truth,ifeq(A,A,truth,B) big_V C) <-> implies(C,C)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 3
% 169.07/169.19 Current number of rules: 1718
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1727] implies(truth,ifeq(A,A,truth big_V B,C)) <-> implies(B,B)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 2
% 169.07/169.19 Current number of rules: 1719
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1728] implies(ifeq(A,A,truth,B),truth big_V C) <-> implies(C,C)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 1
% 169.07/169.19 Current number of rules: 1720
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1729] ifeq(A,A,implies(truth,truth big_V B),C) <-> implies(B,B)
% 169.07/169.19 Current number of equations to process: 3129
% 169.07/169.19 Current number of ordered equations: 0
% 169.07/169.19 Current number of rules: 1721
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1730] ifeq2(A,A,implies(truth,truth big_V B),C) <-> implies(B,B)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 7
% 169.07/169.19 Current number of rules: 1722
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1731] implies(B,B) <-> ifeq2(A,A,implies(truth,truth big_V B),C)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 6
% 169.07/169.19 Current number of rules: 1723
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1732] implies(B,B) <-> implies(truth,ifeq2(A,A,truth big_V B,C))
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 5
% 169.07/169.19 Current number of rules: 1724
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1733] implies(C,C) <-> implies(truth,ifeq2(A,A,truth,B) big_V C)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 4
% 169.07/169.19 Current number of rules: 1725
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1734] implies(C,C) <-> implies(ifeq2(A,A,truth,B),truth big_V C)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 3
% 169.07/169.19 Current number of rules: 1726
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1735] implies(truth,ifeq2(A,A,truth,B) big_V C) <-> implies(C,C)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 2
% 169.07/169.19 Current number of rules: 1727
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1736] implies(truth,ifeq2(A,A,truth big_V B,C)) <-> implies(B,B)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 1
% 169.07/169.19 Current number of rules: 1728
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1737] implies(ifeq2(A,A,truth,B),truth big_V C) <-> implies(C,C)
% 169.07/169.19 Current number of equations to process: 3125
% 169.07/169.19 Current number of ordered equations: 0
% 169.07/169.19 Current number of rules: 1729
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1738]
% 169.07/169.19 implies(implies(A,A),truth big_V A) <->
% 169.07/169.19 implies(implies(truth big_V A,truth),truth)
% 169.07/169.19 Current number of equations to process: 3124
% 169.07/169.19 Current number of ordered equations: 1
% 169.07/169.19 Current number of rules: 1730
% 169.07/169.19 New rule produced :
% 169.07/169.19 [1739]
% 169.07/169.19 implies(implies(truth big_V A,truth),truth) <->
% 169.96/170.06 implies(implies(A,A),truth big_V A)
% 169.96/170.06 Current number of equations to process: 3124
% 169.96/170.06 Current number of ordered equations: 0
% 169.96/170.06 Current number of rules: 1731
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1740]
% 169.96/170.06 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth big_V A)))
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 5
% 169.96/170.06 Current number of rules: 1732
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1741]
% 169.96/170.06 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth)) big_V A)
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 4
% 169.96/170.06 Current number of rules: 1733
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1742]
% 169.96/170.06 implies(A,A) <-> implies(implies(truth,implies(truth,truth)),truth big_V A)
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 3
% 169.96/170.06 Current number of rules: 1734
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1743]
% 169.96/170.06 implies(truth,implies(truth,implies(truth,truth big_V A))) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 2
% 169.96/170.06 Current number of rules: 1735
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1744]
% 169.96/170.06 implies(truth,implies(truth,implies(truth,truth)) big_V A) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 1
% 169.96/170.06 Current number of rules: 1736
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1745]
% 169.96/170.06 implies(implies(truth,implies(truth,truth)),truth big_V A) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3121
% 169.96/170.06 Current number of ordered equations: 0
% 169.96/170.06 Current number of rules: 1737
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1746]
% 169.96/170.06 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth big_V A))
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 7
% 169.96/170.06 Current number of rules: 1738
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1747]
% 169.96/170.06 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth) big_V A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 6
% 169.96/170.06 Current number of rules: 1739
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1748]
% 169.96/170.06 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth big_V A))
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 5
% 169.96/170.06 Current number of rules: 1740
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1749]
% 169.96/170.06 implies(A,A) <-> implies(implies(implies(truth,truth),truth),truth big_V A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 4
% 169.96/170.06 Current number of rules: 1741
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1750]
% 169.96/170.06 implies(truth,implies(implies(truth,truth),truth big_V A)) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 3
% 169.96/170.06 Current number of rules: 1742
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1751]
% 169.96/170.06 implies(truth,implies(implies(truth,truth),truth) big_V A) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 2
% 169.96/170.06 Current number of rules: 1743
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1752]
% 169.96/170.06 implies(implies(truth,truth),implies(truth,truth big_V A)) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 1
% 169.96/170.06 Current number of rules: 1744
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1753]
% 169.96/170.06 implies(implies(implies(truth,truth),truth),truth big_V A) <-> implies(A,A)
% 169.96/170.06 Current number of equations to process: 3117
% 169.96/170.06 Current number of ordered equations: 0
% 169.96/170.06 Current number of rules: 1745
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1754] truth big_V B <-> implies(truth,ifeq(A,A,implies(B,B),C))
% 169.96/170.06 Current number of equations to process: 3114
% 169.96/170.06 Current number of ordered equations: 5
% 169.96/170.06 Current number of rules: 1746
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1755] truth big_V B <-> ifeq(A,A,implies(truth,implies(B,B)),C)
% 169.96/170.06 Current number of equations to process: 3114
% 169.96/170.06 Current number of ordered equations: 4
% 169.96/170.06 Current number of rules: 1747
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1756] truth big_V C <-> implies(ifeq(A,A,truth,B),implies(C,C))
% 169.96/170.06 Current number of equations to process: 3114
% 169.96/170.06 Current number of ordered equations: 3
% 169.96/170.06 Current number of rules: 1748
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1757] implies(truth,ifeq(A,A,implies(B,B),C)) <-> truth big_V B
% 169.96/170.06 Current number of equations to process: 3114
% 169.96/170.06 Current number of ordered equations: 2
% 169.96/170.06 Current number of rules: 1749
% 169.96/170.06 New rule produced :
% 169.96/170.06 [1758] implies(ifeq(A,A,truth,B),implies(C,C)) <-> truth big_V C
% 169.96/170.06 Current number of equations to process: 3114
% 170.62/170.76 Current number of ordered equations: 1
% 170.62/170.76 Current number of rules: 1750
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1759] ifeq(A,A,implies(truth,implies(B,B)),C) <-> truth big_V B
% 170.62/170.76 Current number of equations to process: 3114
% 170.62/170.76 Current number of ordered equations: 0
% 170.62/170.76 Current number of rules: 1751
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1760] ifeq2(A,A,implies(truth,implies(B,B)),C) <-> truth big_V B
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 5
% 170.62/170.76 Current number of rules: 1752
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1761] truth big_V B <-> ifeq2(A,A,implies(truth,implies(B,B)),C)
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 4
% 170.62/170.76 Current number of rules: 1753
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1762] truth big_V B <-> implies(truth,ifeq2(A,A,implies(B,B),C))
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 3
% 170.62/170.76 Current number of rules: 1754
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1763] truth big_V C <-> implies(ifeq2(A,A,truth,B),implies(C,C))
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 2
% 170.62/170.76 Current number of rules: 1755
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1764] implies(truth,ifeq2(A,A,implies(B,B),C)) <-> truth big_V B
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 1
% 170.62/170.76 Current number of rules: 1756
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1765] implies(ifeq2(A,A,truth,B),implies(C,C)) <-> truth big_V C
% 170.62/170.76 Current number of equations to process: 3111
% 170.62/170.76 Current number of ordered equations: 0
% 170.62/170.76 Current number of rules: 1757
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1766]
% 170.62/170.76 implies(implies(implies(A,A),truth),truth) <->
% 170.62/170.76 implies(truth big_V A,implies(A,A))
% 170.62/170.76 Current number of equations to process: 3110
% 170.62/170.76 Current number of ordered equations: 1
% 170.62/170.76 Current number of rules: 1758
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1767]
% 170.62/170.76 implies(truth big_V A,implies(A,A)) <->
% 170.62/170.76 implies(implies(implies(A,A),truth),truth)
% 170.62/170.76 Current number of equations to process: 3110
% 170.62/170.76 Current number of ordered equations: 0
% 170.62/170.76 Current number of rules: 1759
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1768]
% 170.62/170.76 truth big_V A <-> implies(truth,implies(truth,implies(truth,implies(A,A))))
% 170.62/170.76 Current number of equations to process: 3108
% 170.62/170.76 Current number of ordered equations: 3
% 170.62/170.76 Current number of rules: 1760
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1769]
% 170.62/170.76 truth big_V A <-> implies(implies(truth,implies(truth,truth)),implies(A,A))
% 170.62/170.76 Current number of equations to process: 3108
% 170.62/170.76 Current number of ordered equations: 2
% 170.62/170.76 Current number of rules: 1761
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1770]
% 170.62/170.76 implies(truth,implies(truth,implies(truth,implies(A,A)))) <-> truth big_V A
% 170.62/170.76 Current number of equations to process: 3108
% 170.62/170.76 Current number of ordered equations: 1
% 170.62/170.76 Current number of rules: 1762
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1771]
% 170.62/170.76 implies(implies(truth,implies(truth,truth)),implies(A,A)) <-> truth big_V A
% 170.62/170.76 Current number of equations to process: 3108
% 170.62/170.76 Current number of ordered equations: 0
% 170.62/170.76 Current number of rules: 1763
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1772]
% 170.62/170.76 truth big_V A <-> implies(truth,implies(implies(truth,truth),implies(A,A)))
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 5
% 170.62/170.76 Current number of rules: 1764
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1773]
% 170.62/170.76 truth big_V A <-> implies(implies(truth,truth),implies(truth,implies(A,A)))
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 4
% 170.62/170.76 Current number of rules: 1765
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1774]
% 170.62/170.76 truth big_V A <-> implies(implies(implies(truth,truth),truth),implies(A,A))
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 3
% 170.62/170.76 Current number of rules: 1766
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1775]
% 170.62/170.76 implies(truth,implies(implies(truth,truth),implies(A,A))) <-> truth big_V A
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 2
% 170.62/170.76 Current number of rules: 1767
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1776]
% 170.62/170.76 implies(implies(truth,truth),implies(truth,implies(A,A))) <-> truth big_V A
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 1
% 170.62/170.76 Current number of rules: 1768
% 170.62/170.76 New rule produced :
% 170.62/170.76 [1777]
% 170.62/170.76 implies(implies(implies(truth,truth),truth),implies(A,A)) <-> truth big_V A
% 170.62/170.76 Current number of equations to process: 3105
% 170.62/170.76 Current number of ordered equations: 0
% 170.62/170.76 Current number of rules: 1769
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1778] ordered(x,y) <-> implies(truth,implies(truth,ifeq(A,A,true,B)))
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 9
% 171.66/171.79 Current number of rules: 1770
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1779] ordered(x,y) <-> implies(truth,ifeq(A,A,implies(truth,true),B))
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 8
% 171.66/171.79 Current number of rules: 1771
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1780] ordered(x,y) <-> implies(truth,implies(ifeq(A,A,truth,B),true))
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 7
% 171.66/171.79 Current number of rules: 1772
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1781] ordered(x,y) <-> implies(ifeq(A,A,truth,B),implies(truth,true))
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 6
% 171.66/171.79 Current number of rules: 1773
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1782] ordered(x,y) <-> ifeq(A,A,implies(truth,implies(truth,true)),B)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 5
% 171.66/171.79 Current number of rules: 1774
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1783] implies(truth,implies(truth,ifeq(A,A,true,B))) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 4
% 171.66/171.79 Current number of rules: 1775
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1784] implies(truth,ifeq(A,A,implies(truth,true),B)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 3
% 171.66/171.79 Current number of rules: 1776
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1785] implies(truth,implies(ifeq(A,A,truth,B),true)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 2
% 171.66/171.79 Current number of rules: 1777
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1786] implies(ifeq(A,A,truth,B),implies(truth,true)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 1
% 171.66/171.79 Current number of rules: 1778
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1787] ifeq(A,A,implies(truth,implies(truth,true)),B) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3100
% 171.66/171.79 Current number of ordered equations: 0
% 171.66/171.79 Current number of rules: 1779
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1788] ordered(x,y) <-> implies(truth,implies(truth,ifeq2(A,A,true,B)))
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 9
% 171.66/171.79 Current number of rules: 1780
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1789] ordered(x,y) <-> implies(truth,ifeq2(A,A,implies(truth,true),B))
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 8
% 171.66/171.79 Current number of rules: 1781
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1790] ordered(x,y) <-> implies(truth,implies(ifeq2(A,A,truth,B),true))
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 7
% 171.66/171.79 Current number of rules: 1782
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1791] ordered(x,y) <-> implies(ifeq2(A,A,truth,B),implies(truth,true))
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 6
% 171.66/171.79 Current number of rules: 1783
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1792] ordered(x,y) <-> ifeq2(A,A,implies(truth,implies(truth,true)),B)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 5
% 171.66/171.79 Current number of rules: 1784
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1793] implies(truth,implies(truth,ifeq2(A,A,true,B))) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 4
% 171.66/171.79 Current number of rules: 1785
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1794] implies(truth,ifeq2(A,A,implies(truth,true),B)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 3
% 171.66/171.79 Current number of rules: 1786
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1795] implies(truth,implies(ifeq2(A,A,truth,B),true)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 2
% 171.66/171.79 Current number of rules: 1787
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1796] implies(ifeq2(A,A,truth,B),implies(truth,true)) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 1
% 171.66/171.79 Current number of rules: 1788
% 171.66/171.79 New rule produced :
% 171.66/171.79 [1797] ifeq2(A,A,implies(truth,implies(truth,true)),B) <-> ordered(x,y)
% 171.66/171.79 Current number of equations to process: 3095
% 171.66/171.79 Current number of ordered equations: 0
% 171.66/171.79 Current number of rules: 1789
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1798]
% 172.68/172.73 implies(implies(implies(truth,true),truth),truth) <->
% 172.68/172.73 implies(ordered(x,y),implies(truth,true))
% 172.68/172.73 Current number of equations to process: 3094
% 172.68/172.73 Current number of ordered equations: 1
% 172.68/172.73 Current number of rules: 1790
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1799]
% 172.68/172.73 implies(ordered(x,y),implies(truth,true)) <->
% 172.68/172.73 implies(implies(implies(truth,true),truth),truth)
% 172.68/172.73 Current number of equations to process: 3094
% 172.68/172.73 Current number of ordered equations: 0
% 172.68/172.73 Current number of rules: 1791
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1800]
% 172.68/172.73 ordered(x,y) <-> implies(truth,implies(truth,ordered(x,implies(truth,y))))
% 172.68/172.73 Current number of equations to process: 3093
% 172.68/172.73 Current number of ordered equations: 1
% 172.68/172.73 Current number of rules: 1792
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1801]
% 172.68/172.73 implies(truth,implies(truth,ordered(x,implies(truth,y)))) <-> ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3093
% 172.68/172.73 Current number of ordered equations: 0
% 172.68/172.73 Current number of rules: 1793
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1802]
% 172.68/172.73 ordered(x,y) <-> implies(truth,implies(truth,ordered(implies(truth,x),y)))
% 172.68/172.73 Current number of equations to process: 3092
% 172.68/172.73 Current number of ordered equations: 1
% 172.68/172.73 Current number of rules: 1794
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1803]
% 172.68/172.73 implies(truth,implies(truth,ordered(implies(truth,x),y))) <-> ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3092
% 172.68/172.73 Current number of ordered equations: 0
% 172.68/172.73 Current number of rules: 1795
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1804]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(truth,implies(truth,implies(truth,implies(truth,true))))
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 5
% 172.68/172.73 Current number of rules: 1796
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1805]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(truth,implies(implies(truth,implies(truth,truth)),true))
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 4
% 172.68/172.73 Current number of rules: 1797
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1806]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(implies(truth,implies(truth,truth)),implies(truth,true))
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 3
% 172.68/172.73 Current number of rules: 1798
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1807]
% 172.68/172.73 implies(truth,implies(truth,implies(truth,implies(truth,true)))) <->
% 172.68/172.73 ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 2
% 172.68/172.73 Current number of rules: 1799
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1808]
% 172.68/172.73 implies(truth,implies(implies(truth,implies(truth,truth)),true)) <->
% 172.68/172.73 ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 1
% 172.68/172.73 Current number of rules: 1800
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1809]
% 172.68/172.73 implies(implies(truth,implies(truth,truth)),implies(truth,true)) <->
% 172.68/172.73 ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3089
% 172.68/172.73 Current number of ordered equations: 0
% 172.68/172.73 Current number of rules: 1801
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1810]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(truth,implies(truth,implies(implies(truth,truth),true)))
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 9
% 172.68/172.73 Current number of rules: 1802
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1811]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(truth,implies(implies(truth,truth),implies(truth,true)))
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 8
% 172.68/172.73 Current number of rules: 1803
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1812]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(truth,implies(implies(implies(truth,truth),truth),true))
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 7
% 172.68/172.73 Current number of rules: 1804
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1813]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(implies(truth,truth),implies(truth,implies(truth,true)))
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 6
% 172.68/172.73 Current number of rules: 1805
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1814]
% 172.68/172.73 ordered(x,y) <->
% 172.68/172.73 implies(implies(implies(truth,truth),truth),implies(truth,true))
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 5
% 172.68/172.73 Current number of rules: 1806
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1815]
% 172.68/172.73 implies(truth,implies(truth,implies(implies(truth,truth),true))) <->
% 172.68/172.73 ordered(x,y)
% 172.68/172.73 Current number of equations to process: 3084
% 172.68/172.73 Current number of ordered equations: 4
% 172.68/172.73 Current number of rules: 1807
% 172.68/172.73 New rule produced :
% 172.68/172.73 [1816]
% 172.68/172.73 implies(truth,implies(implies(truth,truth),implies(truth,true))) <->
% 173.64/173.71 ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3084
% 173.64/173.71 Current number of ordered equations: 3
% 173.64/173.71 Current number of rules: 1808
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1817]
% 173.64/173.71 implies(truth,implies(implies(implies(truth,truth),truth),true)) <->
% 173.64/173.71 ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3084
% 173.64/173.71 Current number of ordered equations: 2
% 173.64/173.71 Current number of rules: 1809
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1818]
% 173.64/173.71 implies(implies(truth,truth),implies(truth,implies(truth,true))) <->
% 173.64/173.71 ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3084
% 173.64/173.71 Current number of ordered equations: 1
% 173.64/173.71 Current number of rules: 1810
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1819]
% 173.64/173.71 implies(implies(implies(truth,truth),truth),implies(truth,true)) <->
% 173.64/173.71 ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3084
% 173.64/173.71 Current number of ordered equations: 0
% 173.64/173.71 Current number of rules: 1811
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1820] implies(ifeq(A,A,implies(truth,truth),B),true) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 9
% 173.64/173.71 Current number of rules: 1812
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1821] ordered(x,y) <-> implies(ifeq(A,A,implies(truth,truth),B),true)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 8
% 173.64/173.71 Current number of rules: 1813
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1822] ordered(x,y) <-> implies(implies(truth,truth),ifeq(A,A,true,B))
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 7
% 173.64/173.71 Current number of rules: 1814
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1823] ordered(x,y) <-> implies(implies(truth,ifeq(A,A,truth,B)),true)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 6
% 173.64/173.71 Current number of rules: 1815
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1824] ordered(x,y) <-> implies(implies(ifeq(A,A,truth,B),truth),true)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 5
% 173.64/173.71 Current number of rules: 1816
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1825] ordered(x,y) <-> ifeq(A,A,implies(implies(truth,truth),true),B)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 4
% 173.64/173.71 Current number of rules: 1817
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1826] implies(implies(truth,truth),ifeq(A,A,true,B)) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 3
% 173.64/173.71 Current number of rules: 1818
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1827] implies(implies(truth,ifeq(A,A,truth,B)),true) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 2
% 173.64/173.71 Current number of rules: 1819
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1828] implies(implies(ifeq(A,A,truth,B),truth),true) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 1
% 173.64/173.71 Current number of rules: 1820
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1829] ifeq(A,A,implies(implies(truth,truth),true),B) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3079
% 173.64/173.71 Current number of ordered equations: 0
% 173.64/173.71 Current number of rules: 1821
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1830] ifeq2(A,A,implies(implies(truth,truth),true),B) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 9
% 173.64/173.71 Current number of rules: 1822
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1831] implies(ifeq2(A,A,implies(truth,truth),B),true) <-> ordered(x,y)
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 8
% 173.64/173.71 Current number of rules: 1823
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1832] ordered(x,y) <-> ifeq2(A,A,implies(implies(truth,truth),true),B)
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 7
% 173.64/173.71 Current number of rules: 1824
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1833] ordered(x,y) <-> implies(ifeq2(A,A,implies(truth,truth),B),true)
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 6
% 173.64/173.71 Current number of rules: 1825
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1834] ordered(x,y) <-> implies(implies(truth,truth),ifeq2(A,A,true,B))
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 5
% 173.64/173.71 Current number of rules: 1826
% 173.64/173.71 New rule produced :
% 173.64/173.71 [1835] ordered(x,y) <-> implies(implies(truth,ifeq2(A,A,truth,B)),true)
% 173.64/173.71 Current number of equations to process: 3074
% 173.64/173.71 Current number of ordered equations: 4
% 173.64/173.71 Current number of rules: 1827
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1836] ordered(x,y) <-> implies(implies(ifeq2(A,A,truth,B),truth),true)
% 174.37/174.48 Current number of equations to process: 3074
% 174.37/174.48 Current number of ordered equations: 3
% 174.37/174.48 Current number of rules: 1828
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1837] implies(implies(truth,truth),ifeq2(A,A,true,B)) <-> ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3074
% 174.37/174.48 Current number of ordered equations: 2
% 174.37/174.48 Current number of rules: 1829
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1838] implies(implies(truth,ifeq2(A,A,truth,B)),true) <-> ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3074
% 174.37/174.48 Current number of ordered equations: 1
% 174.37/174.48 Current number of rules: 1830
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1839] implies(implies(ifeq2(A,A,truth,B),truth),true) <-> ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3074
% 174.37/174.48 Current number of ordered equations: 0
% 174.37/174.48 Current number of rules: 1831
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1840]
% 174.37/174.48 ordered(x,y) <-> implies(implies(truth,truth),ordered(x,implies(truth,y)))
% 174.37/174.48 Current number of equations to process: 3073
% 174.37/174.48 Current number of ordered equations: 1
% 174.37/174.48 Current number of rules: 1832
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1841]
% 174.37/174.48 implies(implies(truth,truth),ordered(x,implies(truth,y))) <-> ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3073
% 174.37/174.48 Current number of ordered equations: 0
% 174.37/174.48 Current number of rules: 1833
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1842]
% 174.37/174.48 ordered(x,y) <-> implies(implies(truth,truth),ordered(implies(truth,x),y))
% 174.37/174.48 Current number of equations to process: 3072
% 174.37/174.48 Current number of ordered equations: 1
% 174.37/174.48 Current number of rules: 1834
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1843]
% 174.37/174.48 implies(implies(truth,truth),ordered(implies(truth,x),y)) <-> ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3072
% 174.37/174.48 Current number of ordered equations: 0
% 174.37/174.48 Current number of rules: 1835
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1844]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(truth,implies(truth,implies(truth,truth))),true)
% 174.37/174.48 Current number of equations to process: 3068
% 174.37/174.48 Current number of ordered equations: 3
% 174.37/174.48 Current number of rules: 1836
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1845]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(implies(truth,implies(truth,truth)),truth),true)
% 174.37/174.48 Current number of equations to process: 3068
% 174.37/174.48 Current number of ordered equations: 2
% 174.37/174.48 Current number of rules: 1837
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1846]
% 174.37/174.48 implies(implies(truth,implies(truth,implies(truth,truth))),true) <->
% 174.37/174.48 ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3068
% 174.37/174.48 Current number of ordered equations: 1
% 174.37/174.48 Current number of rules: 1838
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1847]
% 174.37/174.48 implies(implies(implies(truth,implies(truth,truth)),truth),true) <->
% 174.37/174.48 ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3068
% 174.37/174.48 Current number of ordered equations: 0
% 174.37/174.48 Current number of rules: 1839
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1848]
% 174.37/174.48 implies(implies(implies(implies(truth,truth),truth),truth),true) <->
% 174.37/174.48 ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 7
% 174.37/174.48 Current number of rules: 1840
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1849]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(implies(implies(truth,truth),truth),truth),true)
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 6
% 174.37/174.48 Current number of rules: 1841
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1850]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(truth,truth),implies(implies(truth,truth),true))
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 5
% 174.37/174.48 Current number of rules: 1842
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1851]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(implies(truth,truth),implies(truth,truth)),true)
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 4
% 174.37/174.48 Current number of rules: 1843
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1852]
% 174.37/174.48 ordered(x,y) <->
% 174.37/174.48 implies(implies(truth,implies(implies(truth,truth),truth)),true)
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 3
% 174.37/174.48 Current number of rules: 1844
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1853]
% 174.37/174.48 implies(implies(truth,truth),implies(implies(truth,truth),true)) <->
% 174.37/174.48 ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3064
% 174.37/174.48 Current number of ordered equations: 2
% 174.37/174.48 Current number of rules: 1845
% 174.37/174.48 New rule produced :
% 174.37/174.48 [1854]
% 174.37/174.48 implies(implies(implies(truth,truth),implies(truth,truth)),true) <->
% 174.37/174.48 ordered(x,y)
% 174.37/174.48 Current number of equations to process: 3064
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1846
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1855]
% 175.06/175.15 implies(implies(truth,implies(implies(truth,truth),truth)),true) <->
% 175.06/175.15 ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3064
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1847
% 175.06/175.15 New rule produced : [1856] implies(truth,C) <-> ifeq(A,A,ifeq(B,B,C,X),Y)
% 175.06/175.15 Current number of equations to process: 3063
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1848
% 175.06/175.15 New rule produced : [1857] ifeq(A,A,ifeq(B,B,C,X),Y) <-> implies(truth,C)
% 175.06/175.15 Current number of equations to process: 3063
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1849
% 175.06/175.15 New rule produced : [1858] implies(truth,C) <-> ifeq2(A,A,ifeq(B,B,C,X),Y)
% 175.06/175.15 Current number of equations to process: 3062
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1850
% 175.06/175.15 New rule produced : [1859] ifeq2(A,A,ifeq(B,B,C,X),Y) <-> implies(truth,C)
% 175.06/175.15 Current number of equations to process: 3062
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1851
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1860] implies(truth,B) <-> implies(implies(truth,truth),ifeq(A,A,B,C))
% 175.06/175.15 Current number of equations to process: 3061
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1852
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1861] implies(implies(truth,truth),ifeq(A,A,B,C)) <-> implies(truth,B)
% 175.06/175.15 Current number of equations to process: 3061
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1853
% 175.06/175.15 New rule produced : [1862] ifeq(A,A,ifeq(B,B,true,C),X) <-> ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3060
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1854
% 175.06/175.15 New rule produced : [1863] ordered(x,y) <-> ifeq(A,A,ifeq(B,B,true,C),X)
% 175.06/175.15 Current number of equations to process: 3060
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1855
% 175.06/175.15 New rule produced : [1864] ifeq(A,A,ifeq2(B,B,true,C),X) <-> ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3058
% 175.06/175.15 Current number of ordered equations: 3
% 175.06/175.15 Current number of rules: 1856
% 175.06/175.15 New rule produced : [1865] ifeq2(A,A,ifeq(B,B,true,C),X) <-> ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3058
% 175.06/175.15 Current number of ordered equations: 2
% 175.06/175.15 Current number of rules: 1857
% 175.06/175.15 New rule produced : [1866] ordered(x,y) <-> ifeq(A,A,ifeq2(B,B,true,C),X)
% 175.06/175.15 Current number of equations to process: 3058
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1858
% 175.06/175.15 New rule produced : [1867] ordered(x,y) <-> ifeq2(A,A,ifeq(B,B,true,C),X)
% 175.06/175.15 Current number of equations to process: 3058
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1859
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1868] ordered(x,y) <-> ifeq(A,A,ordered(x,implies(truth,y)),B)
% 175.06/175.15 Current number of equations to process: 3057
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1860
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1869] ifeq(A,A,ordered(x,implies(truth,y)),B) <-> ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3057
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1861
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1870] ordered(x,y) <-> ifeq(A,A,ordered(implies(truth,x),y),B)
% 175.06/175.15 Current number of equations to process: 3056
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1862
% 175.06/175.15 New rule produced :
% 175.06/175.15 [1871] ifeq(A,A,ordered(implies(truth,x),y),B) <-> ordered(x,y)
% 175.06/175.15 Current number of equations to process: 3056
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1863
% 175.06/175.15 New rule produced : [1872] implies(truth,C) <-> ifeq(A,A,ifeq2(B,B,C,X),Y)
% 175.06/175.15 Current number of equations to process: 3051
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1864
% 175.06/175.15 New rule produced : [1873] ifeq(A,A,ifeq2(B,B,C,X),Y) <-> implies(truth,C)
% 175.06/175.15 Current number of equations to process: 3051
% 175.06/175.15 Current number of ordered equations: 0
% 175.06/175.15 Current number of rules: 1865
% 175.06/175.15 New rule produced : [1874] implies(truth,C) <-> ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 175.06/175.15 Current number of equations to process: 3050
% 175.06/175.15 Current number of ordered equations: 1
% 175.06/175.15 Current number of rules: 1866
% 175.06/175.15 New rule produced : [1875] ifeq2(A,A,ifeq2(B,B,C,X),Y) <-> implies(truth,C)
% 175.06/175.15 Current number of equations to process: 3050
% 175.06/175.15 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1867
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1876] implies(truth,B) <-> implies(implies(truth,truth),ifeq2(A,A,B,C))
% 175.98/176.08 Current number of equations to process: 3049
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1868
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1877] implies(implies(truth,truth),ifeq2(A,A,B,C)) <-> implies(truth,B)
% 175.98/176.08 Current number of equations to process: 3049
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1869
% 175.98/176.08 New rule produced : [1878] ifeq2(A,A,ifeq2(B,B,true,C),X) <-> ordered(x,y)
% 175.98/176.08 Current number of equations to process: 3046
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1870
% 175.98/176.08 New rule produced : [1879] ordered(x,y) <-> ifeq2(A,A,ifeq2(B,B,true,C),X)
% 175.98/176.08 Current number of equations to process: 3046
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1871
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1880] ordered(x,y) <-> ifeq2(A,A,ordered(x,implies(truth,y)),B)
% 175.98/176.08 Current number of equations to process: 3045
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1872
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1881] ifeq2(A,A,ordered(x,implies(truth,y)),B) <-> ordered(x,y)
% 175.98/176.08 Current number of equations to process: 3045
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1873
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1882] ordered(x,y) <-> ifeq2(A,A,ordered(implies(truth,x),y),B)
% 175.98/176.08 Current number of equations to process: 3044
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1874
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1883] ifeq2(A,A,ordered(implies(truth,x),y),B) <-> ordered(x,y)
% 175.98/176.08 Current number of equations to process: 3044
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1875
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1884] truth <-> implies(implies(implies(not(A),truth),truth),implies(A,A))
% 175.98/176.08 Current number of equations to process: 3039
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1876
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1885] implies(implies(implies(not(A),truth),truth),implies(A,A)) <-> truth
% 175.98/176.08 Current number of equations to process: 3039
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1877
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1886] implies(B,B) <-> implies(ifeq(A,A,implies(B,truth),C),truth)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 7
% 175.98/176.08 Current number of rules: 1878
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1887] implies(B,B) <-> ifeq(A,A,implies(implies(B,truth),truth),C)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 6
% 175.98/176.08 Current number of rules: 1879
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1888] implies(A,A) <-> implies(implies(A,truth),ifeq(B,B,truth,C))
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 5
% 175.98/176.08 Current number of rules: 1880
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1889] implies(A,A) <-> implies(implies(A,ifeq(B,B,truth,C)),truth)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 4
% 175.98/176.08 Current number of rules: 1881
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1890] implies(implies(A,truth),ifeq(B,B,truth,C)) <-> implies(A,A)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 3
% 175.98/176.08 Current number of rules: 1882
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1891] implies(ifeq(A,A,implies(B,truth),C),truth) <-> implies(B,B)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 2
% 175.98/176.08 Current number of rules: 1883
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1892] ifeq(A,A,implies(implies(B,truth),truth),C) <-> implies(B,B)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 1
% 175.98/176.08 Current number of rules: 1884
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1893] implies(implies(A,ifeq(B,B,truth,C)),truth) <-> implies(A,A)
% 175.98/176.08 Current number of equations to process: 3035
% 175.98/176.08 Current number of ordered equations: 0
% 175.98/176.08 Current number of rules: 1885
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1894] implies(B,B) <-> implies(ifeq2(A,A,implies(B,truth),C),truth)
% 175.98/176.08 Current number of equations to process: 3031
% 175.98/176.08 Current number of ordered equations: 7
% 175.98/176.08 Current number of rules: 1886
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1895] implies(B,B) <-> ifeq2(A,A,implies(implies(B,truth),truth),C)
% 175.98/176.08 Current number of equations to process: 3031
% 175.98/176.08 Current number of ordered equations: 6
% 175.98/176.08 Current number of rules: 1887
% 175.98/176.08 New rule produced :
% 175.98/176.08 [1896] implies(A,A) <-> implies(implies(A,truth),ifeq2(B,B,truth,C))
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 5
% 176.96/177.01 Current number of rules: 1888
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1897] implies(A,A) <-> implies(implies(A,ifeq2(B,B,truth,C)),truth)
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 4
% 176.96/177.01 Current number of rules: 1889
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1898] implies(implies(A,truth),ifeq2(B,B,truth,C)) <-> implies(A,A)
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 3
% 176.96/177.01 Current number of rules: 1890
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1899] implies(ifeq2(A,A,implies(B,truth),C),truth) <-> implies(B,B)
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 2
% 176.96/177.01 Current number of rules: 1891
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1900] ifeq2(A,A,implies(implies(B,truth),truth),C) <-> implies(B,B)
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 1
% 176.96/177.01 Current number of rules: 1892
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1901] implies(implies(A,ifeq2(B,B,truth,C)),truth) <-> implies(A,A)
% 176.96/177.01 Current number of equations to process: 3031
% 176.96/177.01 Current number of ordered equations: 0
% 176.96/177.01 Current number of rules: 1893
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1902]
% 176.96/177.01 implies(implies(implies(truth,A),A),truth) <->
% 176.96/177.01 implies(implies(A,truth),implies(A,truth))
% 176.96/177.01 Current number of equations to process: 3030
% 176.96/177.01 Current number of ordered equations: 1
% 176.96/177.01 Current number of rules: 1894
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1903]
% 176.96/177.01 implies(implies(A,truth),implies(A,truth)) <->
% 176.96/177.01 implies(implies(implies(truth,A),A),truth)
% 176.96/177.01 Current number of equations to process: 3030
% 176.96/177.01 Current number of ordered equations: 0
% 176.96/177.01 Current number of rules: 1895
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1904]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(truth,implies(truth,implies(implies(A,truth),truth)))
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 7
% 176.96/177.01 Current number of rules: 1896
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1905]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(A,truth),implies(truth,implies(truth,truth)))
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 6
% 176.96/177.01 Current number of rules: 1897
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1906]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(truth,implies(truth,implies(A,truth))),truth)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 5
% 176.96/177.01 Current number of rules: 1898
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1907]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(A,implies(truth,implies(truth,truth))),truth)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 4
% 176.96/177.01 Current number of rules: 1899
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1908]
% 176.96/177.01 implies(truth,implies(truth,implies(implies(A,truth),truth))) <->
% 176.96/177.01 implies(A,A)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 3
% 176.96/177.01 Current number of rules: 1900
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1909]
% 176.96/177.01 implies(implies(A,truth),implies(truth,implies(truth,truth))) <->
% 176.96/177.01 implies(A,A)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 2
% 176.96/177.01 Current number of rules: 1901
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1910]
% 176.96/177.01 implies(implies(truth,implies(truth,implies(A,truth))),truth) <->
% 176.96/177.01 implies(A,A)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 1
% 176.96/177.01 Current number of rules: 1902
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1911]
% 176.96/177.01 implies(implies(A,implies(truth,implies(truth,truth))),truth) <->
% 176.96/177.01 implies(A,A)
% 176.96/177.01 Current number of equations to process: 3026
% 176.96/177.01 Current number of ordered equations: 0
% 176.96/177.01 Current number of rules: 1903
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1912]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(truth,truth),implies(implies(A,truth),truth))
% 176.96/177.01 Current number of equations to process: 3022
% 176.96/177.01 Current number of ordered equations: 7
% 176.96/177.01 Current number of rules: 1904
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1913]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(A,truth),implies(implies(truth,truth),truth))
% 176.96/177.01 Current number of equations to process: 3022
% 176.96/177.01 Current number of ordered equations: 6
% 176.96/177.01 Current number of rules: 1905
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1914]
% 176.96/177.01 implies(A,A) <->
% 176.96/177.01 implies(implies(implies(truth,truth),implies(A,truth)),truth)
% 176.96/177.01 Current number of equations to process: 3022
% 176.96/177.01 Current number of ordered equations: 5
% 176.96/177.01 Current number of rules: 1906
% 176.96/177.01 New rule produced :
% 176.96/177.01 [1915]
% 177.86/177.90 implies(A,A) <->
% 177.86/177.90 implies(implies(A,implies(implies(truth,truth),truth)),truth)
% 177.86/177.90 Current number of equations to process: 3022
% 177.86/177.90 Current number of ordered equations: 4
% 177.86/177.90 Current number of rules: 1907
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1916]
% 177.86/177.90 implies(implies(truth,truth),implies(implies(A,truth),truth)) <->
% 177.86/177.90 implies(A,A)
% 177.86/177.90 Current number of equations to process: 3022
% 177.86/177.90 Current number of ordered equations: 3
% 177.86/177.90 Current number of rules: 1908
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1917]
% 177.86/177.90 implies(implies(A,truth),implies(implies(truth,truth),truth)) <->
% 177.86/177.90 implies(A,A)
% 177.86/177.90 Current number of equations to process: 3022
% 177.86/177.90 Current number of ordered equations: 2
% 177.86/177.90 Current number of rules: 1909
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1918]
% 177.86/177.90 implies(implies(implies(truth,truth),implies(A,truth)),truth) <->
% 177.86/177.90 implies(A,A)
% 177.86/177.90 Current number of equations to process: 3022
% 177.86/177.90 Current number of ordered equations: 1
% 177.86/177.90 Current number of rules: 1910
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1919]
% 177.86/177.90 implies(implies(A,implies(implies(truth,truth),truth)),truth) <->
% 177.86/177.90 implies(A,A)
% 177.86/177.90 Current number of equations to process: 3022
% 177.86/177.90 Current number of ordered equations: 0
% 177.86/177.90 Current number of rules: 1911
% 177.86/177.90 New rule produced : [1920] B big_V B <-> ifeq(A,A,implies(truth big_V B,B),C)
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 5
% 177.86/177.90 Current number of rules: 1912
% 177.86/177.90 New rule produced : [1921] B big_V B <-> implies(ifeq(A,A,truth big_V B,C),B)
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 4
% 177.86/177.90 Current number of rules: 1913
% 177.86/177.90 New rule produced : [1922] C big_V C <-> implies(ifeq(A,A,truth,B) big_V C,C)
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 3
% 177.86/177.90 Current number of rules: 1914
% 177.86/177.90 New rule produced : [1923] implies(ifeq(A,A,truth,B) big_V C,C) <-> C big_V C
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 2
% 177.86/177.90 Current number of rules: 1915
% 177.86/177.90 New rule produced : [1924] ifeq(A,A,implies(truth big_V B,B),C) <-> B big_V B
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 1
% 177.86/177.90 Current number of rules: 1916
% 177.86/177.90 New rule produced : [1925] implies(ifeq(A,A,truth big_V B,C),B) <-> B big_V B
% 177.86/177.90 Current number of equations to process: 3019
% 177.86/177.90 Current number of ordered equations: 0
% 177.86/177.90 Current number of rules: 1917
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1926] B big_V B <-> ifeq2(A,A,implies(truth big_V B,B),C)
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 5
% 177.86/177.90 Current number of rules: 1918
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1927] B big_V B <-> implies(ifeq2(A,A,truth big_V B,C),B)
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 4
% 177.86/177.90 Current number of rules: 1919
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1928] C big_V C <-> implies(ifeq2(A,A,truth,B) big_V C,C)
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 3
% 177.86/177.90 Current number of rules: 1920
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1929] implies(ifeq2(A,A,truth,B) big_V C,C) <-> C big_V C
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 2
% 177.86/177.90 Current number of rules: 1921
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1930] ifeq2(A,A,implies(truth big_V B,B),C) <-> B big_V B
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 1
% 177.86/177.90 Current number of rules: 1922
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1931] implies(ifeq2(A,A,truth big_V B,C),B) <-> B big_V B
% 177.86/177.90 Current number of equations to process: 3016
% 177.86/177.90 Current number of ordered equations: 0
% 177.86/177.90 Current number of rules: 1923
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1932] A big_V A <-> implies(truth,implies(truth,implies(truth big_V A,A)))
% 177.86/177.90 Current number of equations to process: 3013
% 177.86/177.90 Current number of ordered equations: 5
% 177.86/177.90 Current number of rules: 1924
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1933] A big_V A <-> implies(implies(truth,implies(truth,truth big_V A)),A)
% 177.86/177.90 Current number of equations to process: 3013
% 177.86/177.90 Current number of ordered equations: 4
% 177.86/177.90 Current number of rules: 1925
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1934] A big_V A <-> implies(implies(truth,implies(truth,truth)) big_V A,A)
% 177.86/177.90 Current number of equations to process: 3013
% 177.86/177.90 Current number of ordered equations: 3
% 177.86/177.90 Current number of rules: 1926
% 177.86/177.90 New rule produced :
% 177.86/177.90 [1935] implies(truth,implies(truth,implies(truth big_V A,A))) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3013
% 178.89/178.95 Current number of ordered equations: 2
% 178.89/178.95 Current number of rules: 1927
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1936] implies(implies(truth,implies(truth,truth big_V A)),A) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3013
% 178.89/178.95 Current number of ordered equations: 1
% 178.89/178.95 Current number of rules: 1928
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1937] implies(implies(truth,implies(truth,truth)) big_V A,A) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3013
% 178.89/178.95 Current number of ordered equations: 0
% 178.89/178.95 Current number of rules: 1929
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1938] A big_V A <-> implies(implies(truth,truth),implies(truth big_V A,A))
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 5
% 178.89/178.95 Current number of rules: 1930
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1939] A big_V A <-> implies(implies(implies(truth,truth),truth big_V A),A)
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 4
% 178.89/178.95 Current number of rules: 1931
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1940] A big_V A <-> implies(implies(implies(truth,truth),truth) big_V A,A)
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 3
% 178.89/178.95 Current number of rules: 1932
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1941] implies(implies(truth,truth),implies(truth big_V A,A)) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 2
% 178.89/178.95 Current number of rules: 1933
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1942] implies(implies(implies(truth,truth),truth big_V A),A) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 1
% 178.89/178.95 Current number of rules: 1934
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1943] implies(implies(implies(truth,truth),truth) big_V A,A) <-> A big_V A
% 178.89/178.95 Current number of equations to process: 3010
% 178.89/178.95 Current number of ordered equations: 0
% 178.89/178.95 Current number of rules: 1935
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1944] true big_V truth <-> implies(ordered(x,y),ifeq(A,A,true,B))
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 9
% 178.89/178.95 Current number of rules: 1936
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1945] true big_V truth <-> implies(ifeq(A,A,ordered(x,y),B),true)
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 8
% 178.89/178.95 Current number of rules: 1937
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1946] true big_V truth <-> implies(ordered(ifeq(A,A,x,B),y),true)
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 7
% 178.89/178.95 Current number of rules: 1938
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1947] true big_V truth <-> implies(ordered(x,ifeq(A,A,y,B)),true)
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 6
% 178.89/178.95 Current number of rules: 1939
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1948] true big_V truth <-> ifeq(A,A,implies(ordered(x,y),true),B)
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 5
% 178.89/178.95 Current number of rules: 1940
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1949] implies(ordered(x,y),ifeq(A,A,true,B)) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 4
% 178.89/178.95 Current number of rules: 1941
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1950] implies(ifeq(A,A,ordered(x,y),B),true) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 3
% 178.89/178.95 Current number of rules: 1942
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1951] implies(ordered(ifeq(A,A,x,B),y),true) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 2
% 178.89/178.95 Current number of rules: 1943
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1952] implies(ordered(x,ifeq(A,A,y,B)),true) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 1
% 178.89/178.95 Current number of rules: 1944
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1953] ifeq(A,A,implies(ordered(x,y),true),B) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3005
% 178.89/178.95 Current number of ordered equations: 0
% 178.89/178.95 Current number of rules: 1945
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1954] ifeq2(A,A,implies(ordered(x,y),true),B) <-> true big_V truth
% 178.89/178.95 Current number of equations to process: 3000
% 178.89/178.95 Current number of ordered equations: 9
% 178.89/178.95 Current number of rules: 1946
% 178.89/178.95 New rule produced :
% 178.89/178.95 [1955] true big_V truth <-> ifeq2(A,A,implies(ordered(x,y),true),B)
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 8
% 179.88/179.95 Current number of rules: 1947
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1956] true big_V truth <-> implies(ordered(x,y),ifeq2(A,A,true,B))
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 7
% 179.88/179.95 Current number of rules: 1948
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1957] true big_V truth <-> implies(ifeq2(A,A,ordered(x,y),B),true)
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 6
% 179.88/179.95 Current number of rules: 1949
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1958] true big_V truth <-> implies(ordered(ifeq2(A,A,x,B),y),true)
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 5
% 179.88/179.95 Current number of rules: 1950
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1959] true big_V truth <-> implies(ordered(x,ifeq2(A,A,y,B)),true)
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 4
% 179.88/179.95 Current number of rules: 1951
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1960] implies(ordered(x,y),ifeq2(A,A,true,B)) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 3
% 179.88/179.95 Current number of rules: 1952
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1961] implies(ifeq2(A,A,ordered(x,y),B),true) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 2
% 179.88/179.95 Current number of rules: 1953
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1962] implies(ordered(ifeq2(A,A,x,B),y),true) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 1
% 179.88/179.95 Current number of rules: 1954
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1963] implies(ordered(x,ifeq2(A,A,y,B)),true) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 3000
% 179.88/179.95 Current number of ordered equations: 0
% 179.88/179.95 Current number of rules: 1955
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1964] true big_V truth <-> implies(ordered(x,y),ordered(x,implies(truth,y)))
% 179.88/179.95 Current number of equations to process: 2999
% 179.88/179.95 Current number of ordered equations: 1
% 179.88/179.95 Current number of rules: 1956
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1965] implies(ordered(x,y),ordered(x,implies(truth,y))) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 2999
% 179.88/179.95 Current number of ordered equations: 0
% 179.88/179.95 Current number of rules: 1957
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1966] true big_V truth <-> implies(ordered(x,y),ordered(implies(truth,x),y))
% 179.88/179.95 Current number of equations to process: 2998
% 179.88/179.95 Current number of ordered equations: 1
% 179.88/179.95 Current number of rules: 1958
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1967] implies(ordered(x,y),ordered(implies(truth,x),y)) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 2998
% 179.88/179.95 Current number of ordered equations: 0
% 179.88/179.95 Current number of rules: 1959
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1968] true big_V truth <-> implies(ordered(x,y),implies(truth,ordered(x,y)))
% 179.88/179.95 Current number of equations to process: 2997
% 179.88/179.95 Current number of ordered equations: 1
% 179.88/179.95 Current number of rules: 1960
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1969] implies(ordered(x,y),implies(truth,ordered(x,y))) <-> true big_V truth
% 179.88/179.95 Current number of equations to process: 2997
% 179.88/179.95 Current number of ordered equations: 0
% 179.88/179.95 Current number of rules: 1961
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1970]
% 179.88/179.95 true big_V truth <-> implies(truth,implies(truth,implies(ordered(x,y),true)))
% 179.88/179.95 Current number of equations to process: 2992
% 179.88/179.95 Current number of ordered equations: 9
% 179.88/179.95 Current number of rules: 1962
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1971]
% 179.88/179.95 true big_V truth <-> implies(ordered(x,y),implies(truth,implies(truth,true)))
% 179.88/179.95 Current number of equations to process: 2992
% 179.88/179.95 Current number of ordered equations: 8
% 179.88/179.95 Current number of rules: 1963
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1972]
% 179.88/179.95 true big_V truth <-> implies(ordered(x,implies(truth,implies(truth,y))),true)
% 179.88/179.95 Current number of equations to process: 2992
% 179.88/179.95 Current number of ordered equations: 7
% 179.88/179.95 Current number of rules: 1964
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1973]
% 179.88/179.95 true big_V truth <-> implies(implies(truth,implies(truth,ordered(x,y))),true)
% 179.88/179.95 Current number of equations to process: 2992
% 179.88/179.95 Current number of ordered equations: 6
% 179.88/179.95 Current number of rules: 1965
% 179.88/179.95 New rule produced :
% 179.88/179.95 [1974]
% 179.88/179.95 true big_V truth <-> implies(ordered(implies(truth,implies(truth,x)),y),true)
% 179.88/179.95 Current number of equations to process: 2992
% 179.88/179.95 Current number of ordered equations: 5
% 179.88/179.95 Current number of rules: 1966
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1975]
% 180.86/180.91 implies(truth,implies(truth,implies(ordered(x,y),true))) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2992
% 180.86/180.91 Current number of ordered equations: 4
% 180.86/180.91 Current number of rules: 1967
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1976]
% 180.86/180.91 implies(ordered(x,y),implies(truth,implies(truth,true))) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2992
% 180.86/180.91 Current number of ordered equations: 3
% 180.86/180.91 Current number of rules: 1968
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1977]
% 180.86/180.91 implies(ordered(x,implies(truth,implies(truth,y))),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2992
% 180.86/180.91 Current number of ordered equations: 2
% 180.86/180.91 Current number of rules: 1969
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1978]
% 180.86/180.91 implies(implies(truth,implies(truth,ordered(x,y))),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2992
% 180.86/180.91 Current number of ordered equations: 1
% 180.86/180.91 Current number of rules: 1970
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1979]
% 180.86/180.91 implies(ordered(implies(truth,implies(truth,x)),y),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2992
% 180.86/180.91 Current number of ordered equations: 0
% 180.86/180.91 Current number of rules: 1971
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1980]
% 180.86/180.91 true big_V truth <-> implies(ordered(x,y),implies(implies(truth,truth),true))
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 9
% 180.86/180.91 Current number of rules: 1972
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1981]
% 180.86/180.91 true big_V truth <-> implies(ordered(x,implies(implies(truth,truth),y)),true)
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 8
% 180.86/180.91 Current number of rules: 1973
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1982]
% 180.86/180.91 true big_V truth <-> implies(implies(truth,truth),implies(ordered(x,y),true))
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 7
% 180.86/180.91 Current number of rules: 1974
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1983]
% 180.86/180.91 true big_V truth <-> implies(ordered(implies(implies(truth,truth),x),y),true)
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 6
% 180.86/180.91 Current number of rules: 1975
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1984]
% 180.86/180.91 true big_V truth <-> implies(implies(implies(truth,truth),ordered(x,y)),true)
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 5
% 180.86/180.91 Current number of rules: 1976
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1985]
% 180.86/180.91 implies(ordered(x,y),implies(implies(truth,truth),true)) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 4
% 180.86/180.91 Current number of rules: 1977
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1986]
% 180.86/180.91 implies(ordered(x,implies(implies(truth,truth),y)),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 3
% 180.86/180.91 Current number of rules: 1978
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1987]
% 180.86/180.91 implies(implies(truth,truth),implies(ordered(x,y),true)) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 2
% 180.86/180.91 Current number of rules: 1979
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1988]
% 180.86/180.91 implies(ordered(implies(implies(truth,truth),x),y),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 1
% 180.86/180.91 Current number of rules: 1980
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1989]
% 180.86/180.91 implies(implies(implies(truth,truth),ordered(x,y)),true) <-> true big_V truth
% 180.86/180.91 Current number of equations to process: 2987
% 180.86/180.91 Current number of ordered equations: 0
% 180.86/180.91 Current number of rules: 1981
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1990] ordered(x,y) <-> implies(truth,ordered(implies(x,z),implies(y,z)))
% 180.86/180.91 Current number of equations to process: 2981
% 180.86/180.91 Current number of ordered equations: 1
% 180.86/180.91 Current number of rules: 1982
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1991] implies(truth,ordered(implies(x,z),implies(y,z))) <-> ordered(x,y)
% 180.86/180.91 Current number of equations to process: 2981
% 180.86/180.91 Current number of ordered equations: 0
% 180.86/180.91 Current number of rules: 1983
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1992] ordered(x,y) <-> implies(truth,ordered(x,ifeq(A,A,y,B)))
% 180.86/180.91 Current number of equations to process: 2980
% 180.86/180.91 Current number of ordered equations: 1
% 180.86/180.91 Current number of rules: 1984
% 180.86/180.91 New rule produced :
% 180.86/180.91 [1993] implies(truth,ordered(x,ifeq(A,A,y,B))) <-> ordered(x,y)
% 180.86/180.91 Current number of equations to process: 2980
% 180.86/180.91 Current number of ordered equations: 0
% 180.86/180.91 Current number of rules: 1985
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1994] ordered(x,ifeq(A,A,y,B)) <-> ordered(implies(x,z),implies(y,z))
% 181.58/181.67 Current number of equations to process: 2979
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1986
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1995] ordered(implies(x,z),implies(y,z)) <-> ordered(x,ifeq(A,A,y,B))
% 181.58/181.67 Current number of equations to process: 2979
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1987
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1996] ordered(x,y) <-> implies(truth,ordered(ifeq(A,A,x,B),y))
% 181.58/181.67 Current number of equations to process: 2978
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1988
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1997] implies(truth,ordered(ifeq(A,A,x,B),y)) <-> ordered(x,y)
% 181.58/181.67 Current number of equations to process: 2978
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1989
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1998] ordered(implies(x,z),implies(y,z)) <-> ordered(ifeq(A,A,x,B),y)
% 181.58/181.67 Current number of equations to process: 2977
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1990
% 181.58/181.67 New rule produced :
% 181.58/181.67 [1999] ordered(ifeq(A,A,x,B),y) <-> ordered(implies(x,z),implies(y,z))
% 181.58/181.67 Current number of equations to process: 2977
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1991
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2000] ordered(x,ifeq(A,A,y,B)) <-> ordered(ifeq(C,C,x,X),y)
% 181.58/181.67 Current number of equations to process: 2976
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1992
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2001] ordered(ifeq(C,C,x,X),y) <-> ordered(x,ifeq(A,A,y,B))
% 181.58/181.67 Current number of equations to process: 2976
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1993
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2002] ordered(implies(x,z),implies(y,z)) <-> ifeq(A,A,ordered(x,y),B)
% 181.58/181.67 Current number of equations to process: 2975
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1994
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2003] ifeq(A,A,ordered(x,y),B) <-> ordered(implies(x,z),implies(y,z))
% 181.58/181.67 Current number of equations to process: 2975
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1995
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2004] ordered(x,ifeq(A,A,y,B)) <-> ifeq(C,C,ordered(x,y),X)
% 181.58/181.67 Current number of equations to process: 2974
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1996
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2005] ifeq(C,C,ordered(x,y),X) <-> ordered(x,ifeq(A,A,y,B))
% 181.58/181.67 Current number of equations to process: 2974
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1997
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2006] ordered(ifeq(A,A,x,B),y) <-> ifeq(C,C,ordered(x,y),X)
% 181.58/181.67 Current number of equations to process: 2973
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 1998
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2007] ifeq(C,C,ordered(x,y),X) <-> ordered(ifeq(A,A,x,B),y)
% 181.58/181.67 Current number of equations to process: 2973
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 1999
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2008] implies(truth,true) <-> ifeq(A,A,implies(truth,ordered(x,y)),B)
% 181.58/181.67 Current number of equations to process: 2970
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 2000
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2009] ifeq(A,A,implies(truth,ordered(x,y)),B) <-> implies(truth,true)
% 181.58/181.67 Current number of equations to process: 2970
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 2001
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2010] ordered(implies(x,z),implies(y,z)) <-> ifeq(A,A,implies(truth,true),B)
% 181.58/181.67 Current number of equations to process: 2963
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 2002
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2011] ifeq(A,A,implies(truth,true),B) <-> ordered(implies(x,z),implies(y,z))
% 181.58/181.67 Current number of equations to process: 2963
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 2003
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2012] ordered(x,ifeq(A,A,y,B)) <-> ifeq(C,C,implies(truth,true),X)
% 181.58/181.67 Current number of equations to process: 2962
% 181.58/181.67 Current number of ordered equations: 1
% 181.58/181.67 Current number of rules: 2004
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2013] ifeq(C,C,implies(truth,true),X) <-> ordered(x,ifeq(A,A,y,B))
% 181.58/181.67 Current number of equations to process: 2962
% 181.58/181.67 Current number of ordered equations: 0
% 181.58/181.67 Current number of rules: 2005
% 181.58/181.67 New rule produced :
% 181.58/181.67 [2014] ordered(ifeq(A,A,x,B),y) <-> ifeq(C,C,implies(truth,true),X)
% 182.28/182.37 Current number of equations to process: 2961
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2006
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2015] ifeq(C,C,implies(truth,true),X) <-> ordered(ifeq(A,A,x,B),y)
% 182.28/182.37 Current number of equations to process: 2961
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2007
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2016] ifeq(C,C,implies(truth,true),X) <-> ifeq(A,A,ordered(x,y),B)
% 182.28/182.37 Current number of equations to process: 2960
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2008
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2017] ifeq(A,A,ordered(x,y),B) <-> ifeq(C,C,implies(truth,true),X)
% 182.28/182.37 Current number of equations to process: 2960
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2009
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2018] implies(truth,true) <-> implies(ifeq(A,A,truth,B),ordered(x,y))
% 182.28/182.37 Current number of equations to process: 2957
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2010
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2019] implies(ifeq(A,A,truth,B),ordered(x,y)) <-> implies(truth,true)
% 182.28/182.37 Current number of equations to process: 2957
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2011
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2020] ordered(implies(x,z),implies(y,z)) <-> implies(ifeq(A,A,truth,B),true)
% 182.28/182.37 Current number of equations to process: 2950
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2012
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2021] implies(ifeq(A,A,truth,B),true) <-> ordered(implies(x,z),implies(y,z))
% 182.28/182.37 Current number of equations to process: 2950
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2013
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2022] ordered(x,ifeq(A,A,y,B)) <-> implies(ifeq(C,C,truth,X),true)
% 182.28/182.37 Current number of equations to process: 2949
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2014
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2023] implies(ifeq(C,C,truth,X),true) <-> ordered(x,ifeq(A,A,y,B))
% 182.28/182.37 Current number of equations to process: 2949
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2015
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2024] ordered(ifeq(A,A,x,B),y) <-> implies(ifeq(C,C,truth,X),true)
% 182.28/182.37 Current number of equations to process: 2948
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2016
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2025] implies(ifeq(C,C,truth,X),true) <-> ordered(ifeq(A,A,x,B),y)
% 182.28/182.37 Current number of equations to process: 2948
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2017
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2026] implies(ifeq(C,C,truth,X),true) <-> ifeq(A,A,ordered(x,y),B)
% 182.28/182.37 Current number of equations to process: 2947
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2018
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2027] ifeq(A,A,ordered(x,y),B) <-> implies(ifeq(C,C,truth,X),true)
% 182.28/182.37 Current number of equations to process: 2947
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2019
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2028] implies(ifeq(X,X,truth,Y),B) <-> ifeq(A,A,implies(truth,B),C)
% 182.28/182.37 Current number of equations to process: 2946
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2020
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2029] ifeq(A,A,implies(truth,B),C) <-> implies(ifeq(X,X,truth,Y),B)
% 182.28/182.37 Current number of equations to process: 2946
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2021
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2030] truth big_V ifeq(A,A,truth,B) <-> implies(truth,ifeq(A,A,truth,B))
% 182.28/182.37 Current number of equations to process: 2945
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2022
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2031] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V ifeq(A,A,truth,B)
% 182.28/182.37 Current number of equations to process: 2945
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2023
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2032] ordered(x,y) <-> implies(truth,ordered(x,ifeq2(A,A,y,B)))
% 182.28/182.37 Current number of equations to process: 2944
% 182.28/182.37 Current number of ordered equations: 1
% 182.28/182.37 Current number of rules: 2024
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2033] implies(truth,ordered(x,ifeq2(A,A,y,B))) <-> ordered(x,y)
% 182.28/182.37 Current number of equations to process: 2944
% 182.28/182.37 Current number of ordered equations: 0
% 182.28/182.37 Current number of rules: 2025
% 182.28/182.37 New rule produced :
% 182.28/182.37 [2034] ordered(x,ifeq2(A,A,y,B)) <-> ordered(implies(x,z),implies(y,z))
% 182.95/183.01 Current number of equations to process: 2943
% 182.95/183.01 Current number of ordered equations: 1
% 182.95/183.01 Current number of rules: 2026
% 182.95/183.01 New rule produced :
% 182.95/183.01 [2035] ordered(implies(x,z),implies(y,z)) <-> ordered(x,ifeq2(A,A,y,B))
% 182.95/183.01 Current number of equations to process: 2943
% 182.95/183.01 Current number of ordered equations: 0
% 182.95/183.01 Current number of rules: 2027
% 182.95/183.01 New rule produced :
% 182.95/183.01 [2036] ordered(x,ifeq2(C,C,y,X)) <-> ordered(ifeq(A,A,x,B),y)
% 182.95/183.01 Current number of equations to process: 2942
% 182.95/183.01 Current number of ordered equations: 1
% 182.95/183.01 Current number of rules: 2028
% 182.95/183.01 New rule produced :
% 182.95/183.01 [2037] ordered(ifeq(A,A,x,B),y) <-> ordered(x,ifeq2(C,C,y,X))
% 182.95/183.01 Current number of equations to process: 2942
% 182.95/183.01 Current number of ordered equations: 0
% 182.95/183.01 Current number of rules: 2029
% 182.95/183.01 New rule produced :
% 182.95/183.01 [2038] ordered(x,ifeq2(C,C,y,X)) <-> ifeq(A,A,ordered(x,y),B)
% 182.95/183.01 Current number of equations to process: 2941
% 182.95/183.01 Current number of ordered equations: 1
% 182.95/183.01 Current number of rules: 2030
% 182.95/183.01 New rule produced :
% 182.95/183.01 [2039] ifeq(A,A,ordered(x,y),B) <-> ordered(x,ifeq2(C,C,y,X))
% 182.95/183.01 Current number of equations to process: 2941
% 182.95/183.02 Current number of ordered equations: 0
% 182.95/183.02 Current number of rules: 2031
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2040] ordered(x,ifeq2(C,C,y,X)) <-> ifeq(A,A,implies(truth,true),B)
% 182.95/183.02 Current number of equations to process: 2940
% 182.95/183.02 Current number of ordered equations: 1
% 182.95/183.02 Current number of rules: 2032
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2041] ifeq(A,A,implies(truth,true),B) <-> ordered(x,ifeq2(C,C,y,X))
% 182.95/183.02 Current number of equations to process: 2940
% 182.95/183.02 Current number of ordered equations: 0
% 182.95/183.02 Current number of rules: 2033
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2042] ordered(x,ifeq2(C,C,y,X)) <-> implies(ifeq(A,A,truth,B),true)
% 182.95/183.02 Current number of equations to process: 2939
% 182.95/183.02 Current number of ordered equations: 1
% 182.95/183.02 Current number of rules: 2034
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2043] implies(ifeq(A,A,truth,B),true) <-> ordered(x,ifeq2(C,C,y,X))
% 182.95/183.02 Current number of equations to process: 2939
% 182.95/183.02 Current number of ordered equations: 0
% 182.95/183.02 Current number of rules: 2035
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2044] ordered(x,y) <-> implies(truth,ordered(ifeq2(A,A,x,B),y))
% 182.95/183.02 Current number of equations to process: 2938
% 182.95/183.02 Current number of ordered equations: 1
% 182.95/183.02 Current number of rules: 2036
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2045] implies(truth,ordered(ifeq2(A,A,x,B),y)) <-> ordered(x,y)
% 182.95/183.02 Current number of equations to process: 2938
% 182.95/183.02 Current number of ordered equations: 0
% 182.95/183.02 Current number of rules: 2037
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2046] ordered(implies(x,z),implies(y,z)) <-> ordered(ifeq2(A,A,x,B),y)
% 182.95/183.02 Current number of equations to process: 2937
% 182.95/183.02 Current number of ordered equations: 1
% 182.95/183.02 Current number of rules: 2038
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2047] ordered(ifeq2(A,A,x,B),y) <-> ordered(implies(x,z),implies(y,z))
% 182.95/183.02 Current number of equations to process: 2937
% 182.95/183.02 Current number of ordered equations: 0
% 182.95/183.02 Current number of rules: 2039
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2048] ordered(x,ifeq(A,A,y,B)) <-> ordered(ifeq2(C,C,x,X),y)
% 182.95/183.02 Current number of equations to process: 2936
% 182.95/183.02 Current number of ordered equations: 1
% 182.95/183.02 Current number of rules: 2040
% 182.95/183.02 New rule produced :
% 182.95/183.02 [2049] ordered(ifeq2(C,C,x,X),y) <-> ordered(x,ifeq(A,A,y,B))
% 182.95/183.02 Current number of equations to process: 2936
% 182.95/183.03 Current number of ordered equations: 0
% 182.95/183.03 Current number of rules: 2041
% 182.95/183.03 New rule produced :
% 182.95/183.03 [2050] ordered(ifeq2(C,C,x,X),y) <-> ifeq(A,A,ordered(x,y),B)
% 182.95/183.03 Current number of equations to process: 2935
% 182.95/183.03 Current number of ordered equations: 1
% 182.95/183.03 Current number of rules: 2042
% 182.95/183.03 New rule produced :
% 182.95/183.03 [2051] ifeq(A,A,ordered(x,y),B) <-> ordered(ifeq2(C,C,x,X),y)
% 182.95/183.03 Current number of equations to process: 2935
% 182.95/183.03 Current number of ordered equations: 0
% 182.95/183.03 Current number of rules: 2043
% 182.95/183.03 New rule produced :
% 182.95/183.03 [2052] ordered(ifeq2(C,C,x,X),y) <-> ifeq(A,A,implies(truth,true),B)
% 182.95/183.03 Current number of equations to process: 2934
% 182.95/183.03 Current number of ordered equations: 1
% 182.95/183.03 Current number of rules: 2044
% 182.95/183.03 New rule produced :
% 182.95/183.03 [2053] ifeq(A,A,implies(truth,true),B) <-> ordered(ifeq2(C,C,x,X),y)
% 182.95/183.03 Current number of equations to process: 2934
% 182.95/183.03 Current number of ordered equations: 0
% 182.95/183.03 Current number of rules: 2045
% 182.95/183.03 New rule produced :
% 182.95/183.03 [2054] implies(ifeq(A,A,truth,B),true) <-> ordered(ifeq2(C,C,x,X),y)
% 182.95/183.03 Current number of equations to process: 2933
% 182.95/183.03 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2046
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2055] ordered(ifeq2(C,C,x,X),y) <-> implies(ifeq(A,A,truth,B),true)
% 183.69/183.74 Current number of equations to process: 2933
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2047
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2056] ordered(x,ifeq2(A,A,y,B)) <-> ordered(ifeq2(C,C,x,X),y)
% 183.69/183.74 Current number of equations to process: 2932
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2048
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2057] ordered(ifeq2(C,C,x,X),y) <-> ordered(x,ifeq2(A,A,y,B))
% 183.69/183.74 Current number of equations to process: 2932
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2049
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2058] ordered(implies(x,z),implies(y,z)) <-> ifeq2(A,A,ordered(x,y),B)
% 183.69/183.74 Current number of equations to process: 2931
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2050
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2059] ifeq2(A,A,ordered(x,y),B) <-> ordered(implies(x,z),implies(y,z))
% 183.69/183.74 Current number of equations to process: 2931
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2051
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2060] ordered(x,ifeq(A,A,y,B)) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2930
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2052
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2061] ifeq2(C,C,ordered(x,y),X) <-> ordered(x,ifeq(A,A,y,B))
% 183.69/183.74 Current number of equations to process: 2930
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2053
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2062] ordered(ifeq(A,A,x,B),y) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2929
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2054
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2063] ifeq2(C,C,ordered(x,y),X) <-> ordered(ifeq(A,A,x,B),y)
% 183.69/183.74 Current number of equations to process: 2929
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2055
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2064] ifeq2(C,C,ordered(x,y),X) <-> ifeq(A,A,implies(truth,true),B)
% 183.69/183.74 Current number of equations to process: 2928
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2056
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2065] ifeq(A,A,implies(truth,true),B) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2928
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2057
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2066] implies(ifeq(A,A,truth,B),true) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2927
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2058
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2067] ifeq2(C,C,ordered(x,y),X) <-> implies(ifeq(A,A,truth,B),true)
% 183.69/183.74 Current number of equations to process: 2927
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2059
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2068] ordered(x,ifeq2(A,A,y,B)) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2926
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2060
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2069] ifeq2(C,C,ordered(x,y),X) <-> ordered(x,ifeq2(A,A,y,B))
% 183.69/183.74 Current number of equations to process: 2926
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2061
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2070] ordered(ifeq2(A,A,x,B),y) <-> ifeq2(C,C,ordered(x,y),X)
% 183.69/183.74 Current number of equations to process: 2925
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2062
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2071] ifeq2(C,C,ordered(x,y),X) <-> ordered(ifeq2(A,A,x,B),y)
% 183.69/183.74 Current number of equations to process: 2925
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2063
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2072] implies(truth,true) <-> ifeq2(A,A,implies(truth,ordered(x,y)),B)
% 183.69/183.74 Current number of equations to process: 2922
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2064
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2073] ifeq2(A,A,implies(truth,ordered(x,y)),B) <-> implies(truth,true)
% 183.69/183.74 Current number of equations to process: 2922
% 183.69/183.74 Current number of ordered equations: 0
% 183.69/183.74 Current number of rules: 2065
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2074]
% 183.69/183.74 ordered(implies(x,z),implies(y,z)) <-> ifeq2(A,A,implies(truth,true),B)
% 183.69/183.74 Current number of equations to process: 2915
% 183.69/183.74 Current number of ordered equations: 1
% 183.69/183.74 Current number of rules: 2066
% 183.69/183.74 New rule produced :
% 183.69/183.74 [2075]
% 183.69/183.74 ifeq2(A,A,implies(truth,true),B) <-> ordered(implies(x,z),implies(y,z))
% 184.48/184.51 Current number of equations to process: 2915
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2067
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2076] ordered(x,ifeq(A,A,y,B)) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2914
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2068
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2077] ifeq2(C,C,implies(truth,true),X) <-> ordered(x,ifeq(A,A,y,B))
% 184.48/184.51 Current number of equations to process: 2914
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2069
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2078] ordered(ifeq(A,A,x,B),y) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2913
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2070
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2079] ifeq2(C,C,implies(truth,true),X) <-> ordered(ifeq(A,A,x,B),y)
% 184.48/184.51 Current number of equations to process: 2913
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2071
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2080] ifeq2(C,C,implies(truth,true),X) <-> ifeq(A,A,ordered(x,y),B)
% 184.48/184.51 Current number of equations to process: 2912
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2072
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2081] ifeq(A,A,ordered(x,y),B) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2912
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2073
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2082] implies(ifeq(A,A,truth,B),C) <-> ifeq2(X,X,implies(truth,C),Y)
% 184.48/184.51 Current number of equations to process: 2911
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2074
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2083] ifeq2(X,X,implies(truth,C),Y) <-> implies(ifeq(A,A,truth,B),C)
% 184.48/184.51 Current number of equations to process: 2911
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2075
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2084] ordered(x,ifeq2(A,A,y,B)) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2910
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2076
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2085] ifeq2(C,C,implies(truth,true),X) <-> ordered(x,ifeq2(A,A,y,B))
% 184.48/184.51 Current number of equations to process: 2910
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2077
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2086] ordered(ifeq2(A,A,x,B),y) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2909
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2078
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2087] ifeq2(C,C,implies(truth,true),X) <-> ordered(ifeq2(A,A,x,B),y)
% 184.48/184.51 Current number of equations to process: 2909
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2079
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2088] ifeq2(C,C,implies(truth,true),X) <-> ifeq2(A,A,ordered(x,y),B)
% 184.48/184.51 Current number of equations to process: 2908
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2080
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2089] ifeq2(A,A,ordered(x,y),B) <-> ifeq2(C,C,implies(truth,true),X)
% 184.48/184.51 Current number of equations to process: 2908
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2081
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2090] implies(truth,true) <-> implies(ifeq2(A,A,truth,B),ordered(x,y))
% 184.48/184.51 Current number of equations to process: 2905
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2082
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2091] implies(ifeq2(A,A,truth,B),ordered(x,y)) <-> implies(truth,true)
% 184.48/184.51 Current number of equations to process: 2905
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2083
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2092]
% 184.48/184.51 ordered(implies(x,z),implies(y,z)) <-> implies(ifeq2(A,A,truth,B),true)
% 184.48/184.51 Current number of equations to process: 2898
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2084
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2093]
% 184.48/184.51 implies(ifeq2(A,A,truth,B),true) <-> ordered(implies(x,z),implies(y,z))
% 184.48/184.51 Current number of equations to process: 2898
% 184.48/184.51 Current number of ordered equations: 0
% 184.48/184.51 Current number of rules: 2085
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2094] ordered(x,ifeq(A,A,y,B)) <-> implies(ifeq2(C,C,truth,X),true)
% 184.48/184.51 Current number of equations to process: 2897
% 184.48/184.51 Current number of ordered equations: 1
% 184.48/184.51 Current number of rules: 2086
% 184.48/184.51 New rule produced :
% 184.48/184.51 [2095] implies(ifeq2(C,C,truth,X),true) <-> ordered(x,ifeq(A,A,y,B))
% 185.16/185.28 Current number of equations to process: 2897
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2087
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2096] ordered(ifeq(A,A,x,B),y) <-> implies(ifeq2(C,C,truth,X),true)
% 185.16/185.28 Current number of equations to process: 2896
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2088
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2097] implies(ifeq2(C,C,truth,X),true) <-> ordered(ifeq(A,A,x,B),y)
% 185.16/185.28 Current number of equations to process: 2896
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2089
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2098] implies(ifeq2(C,C,truth,X),true) <-> ifeq(A,A,ordered(x,y),B)
% 185.16/185.28 Current number of equations to process: 2895
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2090
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2099] ifeq(A,A,ordered(x,y),B) <-> implies(ifeq2(C,C,truth,X),true)
% 185.16/185.28 Current number of equations to process: 2895
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2091
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2100] implies(ifeq2(X,X,truth,Y),B) <-> ifeq(A,A,implies(truth,B),C)
% 185.16/185.28 Current number of equations to process: 2894
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2092
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2101] ifeq(A,A,implies(truth,B),C) <-> implies(ifeq2(X,X,truth,Y),B)
% 185.16/185.28 Current number of equations to process: 2894
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2093
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2102] ordered(x,ifeq2(A,A,y,B)) <-> implies(ifeq2(C,C,truth,X),true)
% 185.16/185.28 Current number of equations to process: 2893
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2094
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2103] implies(ifeq2(C,C,truth,X),true) <-> ordered(x,ifeq2(A,A,y,B))
% 185.16/185.28 Current number of equations to process: 2893
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2095
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2104] ordered(ifeq2(A,A,x,B),y) <-> implies(ifeq2(C,C,truth,X),true)
% 185.16/185.28 Current number of equations to process: 2892
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2096
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2105] implies(ifeq2(C,C,truth,X),true) <-> ordered(ifeq2(A,A,x,B),y)
% 185.16/185.28 Current number of equations to process: 2892
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2097
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2106] implies(ifeq2(C,C,truth,X),true) <-> ifeq2(A,A,ordered(x,y),B)
% 185.16/185.28 Current number of equations to process: 2891
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2098
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2107] ifeq2(A,A,ordered(x,y),B) <-> implies(ifeq2(C,C,truth,X),true)
% 185.16/185.28 Current number of equations to process: 2891
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2099
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2108] implies(ifeq2(X,X,truth,Y),B) <-> ifeq2(A,A,implies(truth,B),C)
% 185.16/185.28 Current number of equations to process: 2890
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2100
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2109] ifeq2(A,A,implies(truth,B),C) <-> implies(ifeq2(X,X,truth,Y),B)
% 185.16/185.28 Current number of equations to process: 2890
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2101
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2110] truth big_V ifeq2(A,A,truth,B) <-> implies(truth,ifeq2(A,A,truth,B))
% 185.16/185.28 Current number of equations to process: 2889
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2102
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2111] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V ifeq2(A,A,truth,B)
% 185.16/185.28 Current number of equations to process: 2889
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2103
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2112] ordered(implies(x,z),implies(y,z)) <-> implies(truth,ifeq(A,A,true,B))
% 185.16/185.28 Current number of equations to process: 2880
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2104
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2113] implies(truth,ifeq(A,A,true,B)) <-> ordered(implies(x,z),implies(y,z))
% 185.16/185.28 Current number of equations to process: 2880
% 185.16/185.28 Current number of ordered equations: 0
% 185.16/185.28 Current number of rules: 2105
% 185.16/185.28 New rule produced :
% 185.16/185.28 [2114] ordered(x,ifeq(A,A,y,B)) <-> implies(truth,ifeq(C,C,true,X))
% 185.16/185.28 Current number of equations to process: 2879
% 185.16/185.28 Current number of ordered equations: 1
% 185.16/185.28 Current number of rules: 2106
% 185.16/185.28 New rule produced :
% 185.88/186.00 [2115] implies(truth,ifeq(C,C,true,X)) <-> ordered(x,ifeq(A,A,y,B))
% 185.88/186.00 Current number of equations to process: 2879
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2107
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2116] ordered(ifeq(A,A,x,B),y) <-> implies(truth,ifeq(C,C,true,X))
% 185.88/186.00 Current number of equations to process: 2878
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2108
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2117] implies(truth,ifeq(C,C,true,X)) <-> ordered(ifeq(A,A,x,B),y)
% 185.88/186.00 Current number of equations to process: 2878
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2109
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2118] implies(truth,ifeq(C,C,true,X)) <-> ifeq(A,A,ordered(x,y),B)
% 185.88/186.00 Current number of equations to process: 2877
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2110
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2119] ifeq(A,A,ordered(x,y),B) <-> implies(truth,ifeq(C,C,true,X))
% 185.88/186.00 Current number of equations to process: 2877
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2111
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2120] implies(truth,ifeq(X,X,B,Y)) <-> ifeq(A,A,implies(truth,B),C)
% 185.88/186.00 Current number of equations to process: 2876
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2112
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2121] ifeq(A,A,implies(truth,B),C) <-> implies(truth,ifeq(X,X,B,Y))
% 185.88/186.00 Current number of equations to process: 2876
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2113
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2122] implies(truth,ifeq(X,X,C,Y)) <-> implies(ifeq(A,A,truth,B),C)
% 185.88/186.00 Current number of equations to process: 2875
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2114
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2123] implies(ifeq(A,A,truth,B),C) <-> implies(truth,ifeq(X,X,C,Y))
% 185.88/186.00 Current number of equations to process: 2875
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2115
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2124] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,ifeq(C,C,true,X))
% 185.88/186.00 Current number of equations to process: 2874
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2116
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2125] implies(truth,ifeq(C,C,true,X)) <-> ordered(x,ifeq2(A,A,y,B))
% 185.88/186.00 Current number of equations to process: 2874
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2117
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2126] ordered(ifeq2(A,A,x,B),y) <-> implies(truth,ifeq(C,C,true,X))
% 185.88/186.00 Current number of equations to process: 2873
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2118
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2127] implies(truth,ifeq(C,C,true,X)) <-> ordered(ifeq2(A,A,x,B),y)
% 185.88/186.00 Current number of equations to process: 2873
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2119
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2128] implies(truth,ifeq(C,C,true,X)) <-> ifeq2(A,A,ordered(x,y),B)
% 185.88/186.00 Current number of equations to process: 2872
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2120
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2129] ifeq2(A,A,ordered(x,y),B) <-> implies(truth,ifeq(C,C,true,X))
% 185.88/186.00 Current number of equations to process: 2872
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2121
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2130] implies(truth,ifeq(X,X,B,Y)) <-> ifeq2(A,A,implies(truth,B),C)
% 185.88/186.00 Current number of equations to process: 2871
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2122
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2131] ifeq2(A,A,implies(truth,B),C) <-> implies(truth,ifeq(X,X,B,Y))
% 185.88/186.00 Current number of equations to process: 2871
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2123
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2132] implies(truth,ifeq(X,X,C,Y)) <-> implies(ifeq2(A,A,truth,B),C)
% 185.88/186.00 Current number of equations to process: 2870
% 185.88/186.00 Current number of ordered equations: 1
% 185.88/186.00 Current number of rules: 2124
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2133] implies(ifeq2(A,A,truth,B),C) <-> implies(truth,ifeq(X,X,C,Y))
% 185.88/186.00 Current number of equations to process: 2870
% 185.88/186.00 Current number of ordered equations: 0
% 185.88/186.00 Current number of rules: 2125
% 185.88/186.00 New rule produced :
% 185.88/186.00 [2134] truth big_V ifeq(B,B,A,C) <-> implies(A,ifeq(B,B,A,C))
% 185.88/186.00 Rule
% 185.88/186.00 [2030] truth big_V ifeq(A,A,truth,B) <-> implies(truth,ifeq(A,A,truth,B))
% 185.88/186.00 collapsed.
% 185.88/186.00 Current number of equations to process: 2869
% 185.88/186.00 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2125
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2135] implies(A,ifeq(B,B,A,C)) <-> truth big_V ifeq(B,B,A,C)
% 186.80/186.82 Rule
% 186.80/186.82 [2031] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V ifeq(A,A,truth,B)
% 186.80/186.82 collapsed.
% 186.80/186.82 Current number of equations to process: 2869
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2125
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2136]
% 186.80/186.82 ordered(implies(x,z),implies(y,z)) <-> implies(truth,ifeq2(A,A,true,B))
% 186.80/186.82 Current number of equations to process: 2860
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2126
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2137]
% 186.80/186.82 implies(truth,ifeq2(A,A,true,B)) <-> ordered(implies(x,z),implies(y,z))
% 186.80/186.82 Current number of equations to process: 2860
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2127
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2138] ordered(x,ifeq(A,A,y,B)) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2859
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2128
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2139] implies(truth,ifeq2(C,C,true,X)) <-> ordered(x,ifeq(A,A,y,B))
% 186.80/186.82 Current number of equations to process: 2859
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2129
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2140] ordered(ifeq(A,A,x,B),y) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2858
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2130
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2141] implies(truth,ifeq2(C,C,true,X)) <-> ordered(ifeq(A,A,x,B),y)
% 186.80/186.82 Current number of equations to process: 2858
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2131
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2142] implies(truth,ifeq2(C,C,true,X)) <-> ifeq(A,A,ordered(x,y),B)
% 186.80/186.82 Current number of equations to process: 2857
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2132
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2143] ifeq(A,A,ordered(x,y),B) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2857
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2133
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2144] implies(truth,ifeq2(X,X,B,Y)) <-> ifeq(A,A,implies(truth,B),C)
% 186.80/186.82 Current number of equations to process: 2856
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2134
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2145] ifeq(A,A,implies(truth,B),C) <-> implies(truth,ifeq2(X,X,B,Y))
% 186.80/186.82 Current number of equations to process: 2856
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2135
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2146] implies(truth,ifeq2(X,X,C,Y)) <-> implies(ifeq(A,A,truth,B),C)
% 186.80/186.82 Current number of equations to process: 2855
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2136
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2147] implies(ifeq(A,A,truth,B),C) <-> implies(truth,ifeq2(X,X,C,Y))
% 186.80/186.82 Current number of equations to process: 2855
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2137
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2148] ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2854
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2138
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2149] implies(truth,ifeq2(C,C,true,X)) <-> ordered(x,ifeq2(A,A,y,B))
% 186.80/186.82 Current number of equations to process: 2854
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2139
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2150] ordered(ifeq2(A,A,x,B),y) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2853
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2140
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2151] implies(truth,ifeq2(C,C,true,X)) <-> ordered(ifeq2(A,A,x,B),y)
% 186.80/186.82 Current number of equations to process: 2853
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2141
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2152] implies(truth,ifeq2(C,C,true,X)) <-> ifeq2(A,A,ordered(x,y),B)
% 186.80/186.82 Current number of equations to process: 2852
% 186.80/186.82 Current number of ordered equations: 1
% 186.80/186.82 Current number of rules: 2142
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2153] ifeq2(A,A,ordered(x,y),B) <-> implies(truth,ifeq2(C,C,true,X))
% 186.80/186.82 Current number of equations to process: 2852
% 186.80/186.82 Current number of ordered equations: 0
% 186.80/186.82 Current number of rules: 2143
% 186.80/186.82 New rule produced :
% 186.80/186.82 [2154] implies(truth,ifeq2(X,X,B,Y)) <-> ifeq2(A,A,implies(truth,B),C)
% 186.80/186.82 Current number of equations to process: 2851
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2144
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2155] ifeq2(A,A,implies(truth,B),C) <-> implies(truth,ifeq2(X,X,B,Y))
% 187.41/187.51 Current number of equations to process: 2851
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2145
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2156] implies(truth,ifeq2(X,X,C,Y)) <-> implies(ifeq2(A,A,truth,B),C)
% 187.41/187.51 Current number of equations to process: 2850
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2146
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2157] implies(ifeq2(A,A,truth,B),C) <-> implies(truth,ifeq2(X,X,C,Y))
% 187.41/187.51 Current number of equations to process: 2850
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2147
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2158] truth big_V ifeq2(B,B,A,C) <-> implies(A,ifeq2(B,B,A,C))
% 187.41/187.51 Rule
% 187.41/187.51 [2110] truth big_V ifeq2(A,A,truth,B) <-> implies(truth,ifeq2(A,A,truth,B))
% 187.41/187.51 collapsed.
% 187.41/187.51 Current number of equations to process: 2849
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2147
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2159] implies(A,ifeq2(B,B,A,C)) <-> truth big_V ifeq2(B,B,A,C)
% 187.41/187.51 Rule
% 187.41/187.51 [2111] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V ifeq2(A,A,truth,B)
% 187.41/187.51 collapsed.
% 187.41/187.51 Current number of equations to process: 2849
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2147
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2160]
% 187.41/187.51 implies(truth,implies(A,B) big_V B) <-> implies(implies(truth,A big_V B),B)
% 187.41/187.51 Current number of equations to process: 2848
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2148
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2161]
% 187.41/187.51 implies(implies(truth,A big_V B),B) <-> implies(truth,implies(A,B) big_V B)
% 187.41/187.51 Current number of equations to process: 2848
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2149
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2162]
% 187.41/187.51 implies(truth,implies(B,A) big_V A) <-> implies(implies(implies(A,B),B),A)
% 187.41/187.51 Current number of equations to process: 2847
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2150
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2163]
% 187.41/187.51 implies(implies(implies(A,B),B),A) <-> implies(truth,implies(B,A) big_V A)
% 187.41/187.51 Current number of equations to process: 2847
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2151
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2164]
% 187.41/187.51 implies(truth,truth big_V (truth big_V A)) <->
% 187.41/187.51 implies(implies(A,A),truth big_V A)
% 187.41/187.51 Current number of equations to process: 2846
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2152
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2165]
% 187.41/187.51 implies(implies(A,A),truth big_V A) <->
% 187.41/187.51 implies(truth,truth big_V (truth big_V A))
% 187.41/187.51 Current number of equations to process: 2846
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2153
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2166]
% 187.41/187.51 implies(truth,truth big_V implies(A,A)) <->
% 187.41/187.51 implies(truth big_V A,implies(A,A))
% 187.41/187.51 Current number of equations to process: 2845
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2154
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2167]
% 187.41/187.51 implies(truth big_V A,implies(A,A)) <->
% 187.41/187.51 implies(truth,truth big_V implies(A,A))
% 187.41/187.51 Current number of equations to process: 2845
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2155
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2168]
% 187.41/187.51 implies(truth,truth big_V implies(truth,true)) <->
% 187.41/187.51 implies(ordered(x,y),implies(truth,true))
% 187.41/187.51 Current number of equations to process: 2844
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2156
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2169]
% 187.41/187.51 implies(ordered(x,y),implies(truth,true)) <->
% 187.41/187.51 implies(truth,truth big_V implies(truth,true))
% 187.41/187.51 Current number of equations to process: 2844
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2157
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2170]
% 187.41/187.51 implies(implies(truth,truth big_V A),truth) <->
% 187.41/187.51 implies(implies(A,truth),implies(A,truth))
% 187.41/187.51 Current number of equations to process: 2843
% 187.41/187.51 Current number of ordered equations: 1
% 187.41/187.51 Current number of rules: 2158
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2171]
% 187.41/187.51 implies(implies(A,truth),implies(A,truth)) <->
% 187.41/187.51 implies(implies(truth,truth big_V A),truth)
% 187.41/187.51 Current number of equations to process: 2843
% 187.41/187.51 Current number of ordered equations: 0
% 187.41/187.51 Current number of rules: 2159
% 187.41/187.51 New rule produced :
% 187.41/187.51 [2172] implies(implies(A,B),B) big_V A <-> implies(implies(B,A) big_V A,A)
% 187.41/187.51 Current number of equations to process: 2840
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2160
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2173] implies(implies(B,A) big_V A,A) <-> implies(implies(A,B),B) big_V A
% 188.19/188.21 Current number of equations to process: 2840
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2161
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2174]
% 188.19/188.21 implies(truth,implies(truth big_V A,truth)) <->
% 188.19/188.21 implies(implies(A,truth),implies(A,truth))
% 188.19/188.21 Current number of equations to process: 2839
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2162
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2175]
% 188.19/188.21 implies(implies(A,truth),implies(A,truth)) <->
% 188.19/188.21 implies(truth,implies(truth big_V A,truth))
% 188.19/188.21 Current number of equations to process: 2839
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2163
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2176]
% 188.19/188.21 implies(truth,implies(A big_V B,B)) <-> implies(implies(implies(A,B),B),B)
% 188.19/188.21 Current number of equations to process: 2836
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2164
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2177]
% 188.19/188.21 implies(implies(implies(A,B),B),B) <-> implies(truth,implies(A big_V B,B))
% 188.19/188.21 Current number of equations to process: 2836
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2165
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2178] implies(implies(A,B) big_V B,B) <-> implies(truth,A big_V B) big_V B
% 188.19/188.21 Current number of equations to process: 2835
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2166
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2179] implies(truth,A big_V B) big_V B <-> implies(implies(A,B) big_V B,B)
% 188.19/188.21 Current number of equations to process: 2835
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2167
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2180]
% 188.19/188.21 implies(truth big_V A,truth big_V A) <->
% 188.19/188.21 implies(truth big_V implies(A,truth),truth)
% 188.19/188.21 Current number of equations to process: 2834
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2168
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2181]
% 188.19/188.21 implies(truth big_V implies(A,truth),truth) <->
% 188.19/188.21 implies(truth big_V A,truth big_V A)
% 188.19/188.21 Current number of equations to process: 2834
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2169
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2182] implies(truth,(A big_V B) big_V B) <-> implies(implies(A,B) big_V B,B)
% 188.19/188.21 Current number of equations to process: 2833
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2170
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2183] implies(implies(A,B) big_V B,B) <-> implies(truth,(A big_V B) big_V B)
% 188.19/188.21 Current number of equations to process: 2833
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2171
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2184] implies((A big_V B) big_V B,B) <-> (implies(A,B) big_V B) big_V B
% 188.19/188.21 Current number of equations to process: 2831
% 188.19/188.21 Current number of ordered equations: 3
% 188.19/188.21 Current number of rules: 2172
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2185] (implies(A,B) big_V B) big_V B <-> implies((A big_V B) big_V B,B)
% 188.19/188.21 Current number of equations to process: 2831
% 188.19/188.21 Current number of ordered equations: 2
% 188.19/188.21 Current number of rules: 2173
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2186] implies(implies(A big_V B,B),B) <-> implies(implies(A,B),B) big_V B
% 188.19/188.21 Current number of equations to process: 2831
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2174
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2187] implies(implies(A,B),B) big_V B <-> implies(implies(A big_V B,B),B)
% 188.19/188.21 Current number of equations to process: 2831
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2175
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2188]
% 188.19/188.21 implies(truth,true big_V ordered(x,y)) <->
% 188.19/188.21 implies(implies(implies(true,truth),truth),true)
% 188.19/188.21 Current number of equations to process: 2830
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2176
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2189]
% 188.19/188.21 implies(implies(implies(true,truth),truth),true) <->
% 188.19/188.21 implies(truth,true big_V ordered(x,y))
% 188.19/188.21 Current number of equations to process: 2830
% 188.19/188.21 Current number of ordered equations: 0
% 188.19/188.21 Current number of rules: 2177
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2190]
% 188.19/188.21 implies(true big_V ordered(x,y),true) <->
% 188.19/188.21 true big_V implies(implies(true,truth),truth)
% 188.19/188.21 Current number of equations to process: 2829
% 188.19/188.21 Current number of ordered equations: 1
% 188.19/188.21 Current number of rules: 2178
% 188.19/188.21 New rule produced :
% 188.19/188.21 [2191]
% 188.19/188.21 true big_V implies(implies(true,truth),truth) <->
% 188.88/188.92 implies(true big_V ordered(x,y),true)
% 188.88/188.92 Current number of equations to process: 2829
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2179
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2192]
% 188.88/188.92 implies(implies(ordered(x,y),true),truth) <->
% 188.88/188.92 implies(implies(true,truth),implies(true,truth))
% 188.88/188.92 Current number of equations to process: 2828
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2180
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2193]
% 188.88/188.92 implies(implies(true,truth),implies(true,truth)) <->
% 188.88/188.92 implies(implies(ordered(x,y),true),truth)
% 188.88/188.92 Current number of equations to process: 2828
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2181
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2194]
% 188.88/188.92 implies(truth,truth big_V implies(true,truth)) <->
% 188.88/188.92 implies(implies(ordered(x,y),true),truth)
% 188.88/188.92 Current number of equations to process: 2827
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2182
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2195]
% 188.88/188.92 implies(implies(ordered(x,y),true),truth) <->
% 188.88/188.92 implies(truth,truth big_V implies(true,truth))
% 188.88/188.92 Current number of equations to process: 2827
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2183
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2196]
% 188.88/188.92 truth big_V implies(ordered(x,y),true) <->
% 188.88/188.92 implies(truth big_V implies(true,truth),truth)
% 188.88/188.92 Current number of equations to process: 2826
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2184
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2197]
% 188.88/188.92 implies(truth big_V implies(true,truth),truth) <->
% 188.88/188.92 truth big_V implies(ordered(x,y),true)
% 188.88/188.92 Current number of equations to process: 2826
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2185
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2198] implies(A,A) <-> ifeq(true,true,implies(x,y),truth) big_V A
% 188.88/188.92 Current number of equations to process: 2825
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2186
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2199] ifeq(true,true,implies(x,y),truth) big_V A <-> implies(A,A)
% 188.88/188.92 Current number of equations to process: 2825
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2187
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2200] ordered(x,y) <-> implies(ifeq(true,true,implies(x,y),truth),true)
% 188.88/188.92 Current number of equations to process: 2824
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2188
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2201] implies(ifeq(true,true,implies(x,y),truth),true) <-> ordered(x,y)
% 188.88/188.92 Current number of equations to process: 2824
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2189
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2202]
% 188.88/188.92 ifeq(true,true,implies(x,y),truth) <-> ifeq(A,A,implies(truth,truth),B)
% 188.88/188.92 Current number of equations to process: 2823
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2190
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2203]
% 188.88/188.92 ifeq(A,A,implies(truth,truth),B) <-> ifeq(true,true,implies(x,y),truth)
% 188.88/188.92 Current number of equations to process: 2823
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2191
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2204]
% 188.88/188.92 ifeq(true,true,implies(x,y),truth) <-> implies(ifeq(A,A,truth,B),truth)
% 188.88/188.92 Current number of equations to process: 2822
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2192
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2205]
% 188.88/188.92 implies(ifeq(A,A,truth,B),truth) <-> ifeq(true,true,implies(x,y),truth)
% 188.88/188.92 Current number of equations to process: 2822
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2193
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2206]
% 188.88/188.92 ifeq(true,true,implies(x,y),truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 188.88/188.92 Current number of equations to process: 2821
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2194
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2207]
% 188.88/188.92 ifeq2(A,A,implies(truth,truth),B) <-> ifeq(true,true,implies(x,y),truth)
% 188.88/188.92 Current number of equations to process: 2821
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2195
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2208]
% 188.88/188.92 ifeq(true,true,implies(x,y),truth) <-> implies(ifeq2(A,A,truth,B),truth)
% 188.88/188.92 Current number of equations to process: 2820
% 188.88/188.92 Current number of ordered equations: 1
% 188.88/188.92 Current number of rules: 2196
% 188.88/188.92 New rule produced :
% 188.88/188.92 [2209]
% 188.88/188.92 implies(ifeq2(A,A,truth,B),truth) <-> ifeq(true,true,implies(x,y),truth)
% 188.88/188.92 Current number of equations to process: 2820
% 188.88/188.92 Current number of ordered equations: 0
% 188.88/188.92 Current number of rules: 2197
% 188.88/188.92 New rule produced :
% 189.57/189.61 [2210]
% 189.57/189.61 ifeq(true,true,implies(x,y),truth) <-> implies(truth,ifeq(A,A,truth,B))
% 189.57/189.61 Current number of equations to process: 2819
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2198
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2211]
% 189.57/189.61 implies(truth,ifeq(A,A,truth,B)) <-> ifeq(true,true,implies(x,y),truth)
% 189.57/189.61 Current number of equations to process: 2819
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2199
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2212]
% 189.57/189.61 ifeq(true,true,implies(x,y),truth) <-> implies(truth,ifeq2(A,A,truth,B))
% 189.57/189.61 Current number of equations to process: 2818
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2200
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2213]
% 189.57/189.61 implies(truth,ifeq2(A,A,truth,B)) <-> ifeq(true,true,implies(x,y),truth)
% 189.57/189.61 Current number of equations to process: 2818
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2201
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2214]
% 189.57/189.61 ifeq(ordered(truth,A),true,A,truth) <-> ifeq(ordered(truth,B),true,B,truth)
% 189.57/189.61 Current number of equations to process: 2817
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2202
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2215] implies(B,B) <-> ifeq(ordered(truth,A),true,A,truth) big_V B
% 189.57/189.61 Current number of equations to process: 2816
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2203
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2216] ifeq(ordered(truth,A),true,A,truth) big_V B <-> implies(B,B)
% 189.57/189.61 Current number of equations to process: 2816
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2204
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2217] ordered(x,y) <-> implies(ifeq(ordered(truth,A),true,A,truth),true)
% 189.57/189.61 Current number of equations to process: 2815
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2205
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2218] implies(ifeq(ordered(truth,A),true,A,truth),true) <-> ordered(x,y)
% 189.57/189.61 Current number of equations to process: 2815
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2206
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2219]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> ifeq(A,A,implies(truth,truth),B)
% 189.57/189.61 Current number of equations to process: 2814
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2207
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2220]
% 189.57/189.61 ifeq(A,A,implies(truth,truth),B) <-> ifeq(ordered(truth,C),true,C,truth)
% 189.57/189.61 Current number of equations to process: 2814
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2208
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2221]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> implies(ifeq(A,A,truth,B),truth)
% 189.57/189.61 Current number of equations to process: 2813
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2209
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2222]
% 189.57/189.61 implies(ifeq(A,A,truth,B),truth) <-> ifeq(ordered(truth,C),true,C,truth)
% 189.57/189.61 Current number of equations to process: 2813
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2210
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2223]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 189.57/189.61 Current number of equations to process: 2812
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2211
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2224]
% 189.57/189.61 ifeq2(A,A,implies(truth,truth),B) <-> ifeq(ordered(truth,C),true,C,truth)
% 189.57/189.61 Current number of equations to process: 2812
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2212
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2225]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> implies(ifeq2(A,A,truth,B),truth)
% 189.57/189.61 Current number of equations to process: 2811
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2213
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2226]
% 189.57/189.61 implies(ifeq2(A,A,truth,B),truth) <-> ifeq(ordered(truth,C),true,C,truth)
% 189.57/189.61 Current number of equations to process: 2811
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2214
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2227]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> implies(truth,ifeq(A,A,truth,B))
% 189.57/189.61 Current number of equations to process: 2810
% 189.57/189.61 Current number of ordered equations: 1
% 189.57/189.61 Current number of rules: 2215
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2228]
% 189.57/189.61 implies(truth,ifeq(A,A,truth,B)) <-> ifeq(ordered(truth,C),true,C,truth)
% 189.57/189.61 Current number of equations to process: 2810
% 189.57/189.61 Current number of ordered equations: 0
% 189.57/189.61 Current number of rules: 2216
% 189.57/189.61 New rule produced :
% 189.57/189.61 [2229]
% 189.57/189.61 ifeq(ordered(truth,C),true,C,truth) <-> implies(truth,ifeq2(A,A,truth,B))
% 190.29/190.34 Current number of equations to process: 2809
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2217
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2230]
% 190.29/190.34 implies(truth,ifeq2(A,A,truth,B)) <-> ifeq(ordered(truth,C),true,C,truth)
% 190.29/190.34 Current number of equations to process: 2809
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2218
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2231] implies(B,B) <-> implies(implies(not(A),not(truth)),A) big_V B
% 190.29/190.34 Current number of equations to process: 2808
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2219
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2232] implies(implies(not(A),not(truth)),A) big_V B <-> implies(B,B)
% 190.29/190.34 Current number of equations to process: 2808
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2220
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2233] ordered(x,y) <-> implies(implies(implies(not(A),not(truth)),A),true)
% 190.29/190.34 Current number of equations to process: 2807
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2221
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2234] implies(implies(implies(not(A),not(truth)),A),true) <-> ordered(x,y)
% 190.29/190.34 Current number of equations to process: 2807
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2222
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2235]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> ifeq(A,A,implies(truth,truth),B)
% 190.29/190.34 Current number of equations to process: 2806
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2223
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2236]
% 190.29/190.34 ifeq(A,A,implies(truth,truth),B) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2806
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2224
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2237]
% 190.29/190.34 implies(ifeq(A,A,truth,B),truth) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2805
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2225
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2238]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> implies(ifeq(A,A,truth,B),truth)
% 190.29/190.34 Current number of equations to process: 2805
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2226
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2239]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> ifeq2(A,A,implies(truth,truth),B)
% 190.29/190.34 Current number of equations to process: 2804
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2227
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2240]
% 190.29/190.34 ifeq2(A,A,implies(truth,truth),B) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2804
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2228
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2241]
% 190.29/190.34 implies(ifeq2(A,A,truth,B),truth) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2803
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2229
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2242]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> implies(ifeq2(A,A,truth,B),truth)
% 190.29/190.34 Current number of equations to process: 2803
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2230
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2243]
% 190.29/190.34 implies(truth,ifeq(A,A,truth,B)) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2802
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2231
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2244]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> implies(truth,ifeq(A,A,truth,B))
% 190.29/190.34 Current number of equations to process: 2802
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2232
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2245]
% 190.29/190.34 implies(truth,ifeq2(A,A,truth,B)) <-> implies(implies(not(C),not(truth)),C)
% 190.29/190.34 Current number of equations to process: 2801
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2233
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2246]
% 190.29/190.34 implies(implies(not(C),not(truth)),C) <-> implies(truth,ifeq2(A,A,truth,B))
% 190.29/190.34 Current number of equations to process: 2801
% 190.29/190.34 Current number of ordered equations: 0
% 190.29/190.34 Current number of rules: 2234
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2247]
% 190.29/190.34 ifeq(ordered(truth,A),true,A,truth) <-> implies(implies(not(B),not(truth)),B)
% 190.29/190.34 Current number of equations to process: 2800
% 190.29/190.34 Current number of ordered equations: 1
% 190.29/190.34 Current number of rules: 2235
% 190.29/190.34 New rule produced :
% 190.29/190.34 [2248]
% 190.29/190.34 implies(implies(not(B),not(truth)),B) <-> ifeq(ordered(truth,A),true,A,truth)
% 191.08/191.11 Current number of equations to process: 2800
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2236
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2249]
% 191.08/191.11 implies(implies(not(A),not(truth)),A) <->
% 191.08/191.11 implies(implies(not(B),not(truth)),B)
% 191.08/191.11 Current number of equations to process: 2799
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2237
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2250] truth <-> implies(implies(not(truth),not(not(truth))),not(not(truth)))
% 191.08/191.11 Current number of equations to process: 2798
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2238
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2251] implies(implies(not(truth),not(not(truth))),not(not(truth))) <-> truth
% 191.08/191.11 Current number of equations to process: 2798
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2239
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2252] implies(truth,A) <-> implies(truth,implies(not(A),not(truth)) big_V A)
% 191.08/191.11 Current number of equations to process: 2797
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2240
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2253] implies(truth,implies(not(A),not(truth)) big_V A) <-> implies(truth,A)
% 191.08/191.11 Current number of equations to process: 2797
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2241
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2254] truth big_V A <-> implies(implies(not(A),not(truth)) big_V A,A)
% 191.08/191.11 Current number of equations to process: 2796
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2242
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2255] implies(implies(not(A),not(truth)) big_V A,A) <-> truth big_V A
% 191.08/191.11 Current number of equations to process: 2796
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2243
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2256] ordered(x,y) <-> implies(truth,ifeq2(implies(x,y),truth,true,true))
% 191.08/191.11 Current number of equations to process: 2795
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2244
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2257] implies(truth,ifeq2(implies(x,y),truth,true,true)) <-> ordered(x,y)
% 191.08/191.11 Current number of equations to process: 2795
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2245
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2258]
% 191.08/191.11 ordered(implies(x,z),implies(y,z)) <-> ifeq2(implies(x,y),truth,true,true)
% 191.08/191.11 Current number of equations to process: 2794
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2246
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2259]
% 191.08/191.11 ifeq2(implies(x,y),truth,true,true) <-> ordered(implies(x,z),implies(y,z))
% 191.08/191.11 Current number of equations to process: 2794
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2247
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2260] ordered(x,ifeq(A,A,y,B)) <-> ifeq2(implies(x,y),truth,true,true)
% 191.08/191.11 Current number of equations to process: 2793
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2248
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2261] ifeq2(implies(x,y),truth,true,true) <-> ordered(x,ifeq(A,A,y,B))
% 191.08/191.11 Current number of equations to process: 2793
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2249
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2262] ordered(ifeq(A,A,x,B),y) <-> ifeq2(implies(x,y),truth,true,true)
% 191.08/191.11 Current number of equations to process: 2792
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2250
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2263] ifeq2(implies(x,y),truth,true,true) <-> ordered(ifeq(A,A,x,B),y)
% 191.08/191.11 Current number of equations to process: 2792
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2251
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2264] ifeq2(implies(x,y),truth,true,true) <-> ifeq(A,A,ordered(x,y),B)
% 191.08/191.11 Current number of equations to process: 2791
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2252
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2265] ifeq(A,A,ordered(x,y),B) <-> ifeq2(implies(x,y),truth,true,true)
% 191.08/191.11 Current number of equations to process: 2791
% 191.08/191.11 Current number of ordered equations: 0
% 191.08/191.11 Current number of rules: 2253
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2266]
% 191.08/191.11 ifeq2(implies(x,y),truth,true,true) <-> ifeq(A,A,implies(truth,true),B)
% 191.08/191.11 Current number of equations to process: 2790
% 191.08/191.11 Current number of ordered equations: 1
% 191.08/191.11 Current number of rules: 2254
% 191.08/191.11 New rule produced :
% 191.08/191.11 [2267]
% 191.08/191.11 ifeq(A,A,implies(truth,true),B) <-> ifeq2(implies(x,y),truth,true,true)
% 191.08/191.11 Current number of equations to process: 2790
% 191.08/191.11 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2255
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2268]
% 191.90/191.90 implies(ifeq(A,A,truth,B),true) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2789
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2256
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2269]
% 191.90/191.90 ifeq2(implies(x,y),truth,true,true) <-> implies(ifeq(A,A,truth,B),true)
% 191.90/191.90 Current number of equations to process: 2789
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2257
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2270] ordered(x,ifeq2(A,A,y,B)) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2788
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2258
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2271] ifeq2(implies(x,y),truth,true,true) <-> ordered(x,ifeq2(A,A,y,B))
% 191.90/191.90 Current number of equations to process: 2788
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2259
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2272] ordered(ifeq2(A,A,x,B),y) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2787
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2260
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2273] ifeq2(implies(x,y),truth,true,true) <-> ordered(ifeq2(A,A,x,B),y)
% 191.90/191.90 Current number of equations to process: 2787
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2261
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2274] ifeq2(implies(x,y),truth,true,true) <-> ifeq2(A,A,ordered(x,y),B)
% 191.90/191.90 Current number of equations to process: 2786
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2262
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2275] ifeq2(A,A,ordered(x,y),B) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2786
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2263
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2276]
% 191.90/191.90 ifeq2(implies(x,y),truth,true,true) <-> ifeq2(A,A,implies(truth,true),B)
% 191.90/191.90 Current number of equations to process: 2785
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2264
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2277]
% 191.90/191.90 ifeq2(A,A,implies(truth,true),B) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2785
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2265
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2278]
% 191.90/191.90 implies(ifeq2(A,A,truth,B),true) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2784
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2266
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2279]
% 191.90/191.90 ifeq2(implies(x,y),truth,true,true) <-> implies(ifeq2(A,A,truth,B),true)
% 191.90/191.90 Current number of equations to process: 2784
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2267
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2280]
% 191.90/191.90 implies(truth,ifeq(A,A,true,B)) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2783
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2268
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2281]
% 191.90/191.90 ifeq2(implies(x,y),truth,true,true) <-> implies(truth,ifeq(A,A,true,B))
% 191.90/191.90 Current number of equations to process: 2783
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2269
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2282]
% 191.90/191.90 implies(truth,ifeq2(A,A,true,B)) <-> ifeq2(implies(x,y),truth,true,true)
% 191.90/191.90 Current number of equations to process: 2782
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2270
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2283]
% 191.90/191.90 ifeq2(implies(x,y),truth,true,true) <-> implies(truth,ifeq2(A,A,true,B))
% 191.90/191.90 Current number of equations to process: 2782
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2271
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2284] ordered(x,y) <-> implies(truth,ifeq2(A,truth,ordered(truth,A),true))
% 191.90/191.90 Current number of equations to process: 2781
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2272
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2285] implies(truth,ifeq2(A,truth,ordered(truth,A),true)) <-> ordered(x,y)
% 191.90/191.90 Current number of equations to process: 2781
% 191.90/191.90 Current number of ordered equations: 0
% 191.90/191.90 Current number of rules: 2273
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2286]
% 191.90/191.90 ifeq2(A,truth,ordered(truth,A),true) <-> ordered(implies(x,z),implies(y,z))
% 191.90/191.90 Current number of equations to process: 2780
% 191.90/191.90 Current number of ordered equations: 1
% 191.90/191.90 Current number of rules: 2274
% 191.90/191.90 New rule produced :
% 191.90/191.90 [2287]
% 191.90/191.90 ordered(implies(x,z),implies(y,z)) <-> ifeq2(A,truth,ordered(truth,A),true)
% 192.59/192.65 Current number of equations to process: 2780
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2275
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2288] ordered(x,ifeq(A,A,y,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2779
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2276
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2289] ifeq2(C,truth,ordered(truth,C),true) <-> ordered(x,ifeq(A,A,y,B))
% 192.59/192.65 Current number of equations to process: 2779
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2277
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2290] ordered(ifeq(A,A,x,B),y) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2778
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2278
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2291] ifeq2(C,truth,ordered(truth,C),true) <-> ordered(ifeq(A,A,x,B),y)
% 192.59/192.65 Current number of equations to process: 2778
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2279
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2292] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq(A,A,ordered(x,y),B)
% 192.59/192.65 Current number of equations to process: 2777
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2280
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2293] ifeq(A,A,ordered(x,y),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2777
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2281
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2294]
% 192.59/192.65 ifeq2(C,truth,ordered(truth,C),true) <-> ifeq(A,A,implies(truth,true),B)
% 192.59/192.65 Current number of equations to process: 2776
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2282
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2295]
% 192.59/192.65 ifeq(A,A,implies(truth,true),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2776
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2283
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2296]
% 192.59/192.65 implies(ifeq(A,A,truth,B),true) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2775
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2284
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2297]
% 192.59/192.65 ifeq2(C,truth,ordered(truth,C),true) <-> implies(ifeq(A,A,truth,B),true)
% 192.59/192.65 Current number of equations to process: 2775
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2285
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2298] ordered(x,ifeq2(A,A,y,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2774
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2286
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2299] ifeq2(C,truth,ordered(truth,C),true) <-> ordered(x,ifeq2(A,A,y,B))
% 192.59/192.65 Current number of equations to process: 2774
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2287
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2300] ordered(ifeq2(A,A,x,B),y) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2773
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2288
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2301] ifeq2(C,truth,ordered(truth,C),true) <-> ordered(ifeq2(A,A,x,B),y)
% 192.59/192.65 Current number of equations to process: 2773
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2289
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2302] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq2(A,A,ordered(x,y),B)
% 192.59/192.65 Current number of equations to process: 2772
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2290
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2303] ifeq2(A,A,ordered(x,y),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2772
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2291
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2304]
% 192.59/192.65 ifeq2(C,truth,ordered(truth,C),true) <-> ifeq2(A,A,implies(truth,true),B)
% 192.59/192.65 Current number of equations to process: 2771
% 192.59/192.65 Current number of ordered equations: 1
% 192.59/192.65 Current number of rules: 2292
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2305]
% 192.59/192.65 ifeq2(A,A,implies(truth,true),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2771
% 192.59/192.65 Current number of ordered equations: 0
% 192.59/192.65 Current number of rules: 2293
% 192.59/192.65 New rule produced :
% 192.59/192.65 [2306]
% 192.59/192.65 implies(ifeq2(A,A,truth,B),true) <-> ifeq2(C,truth,ordered(truth,C),true)
% 192.59/192.65 Current number of equations to process: 2770
% 192.59/192.65 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2294
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2307]
% 193.58/193.60 ifeq2(C,truth,ordered(truth,C),true) <-> implies(ifeq2(A,A,truth,B),true)
% 193.58/193.60 Current number of equations to process: 2770
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2295
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2308]
% 193.58/193.60 implies(truth,ifeq(A,A,true,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 193.58/193.60 Current number of equations to process: 2769
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2296
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2309]
% 193.58/193.60 ifeq2(C,truth,ordered(truth,C),true) <-> implies(truth,ifeq(A,A,true,B))
% 193.58/193.60 Current number of equations to process: 2769
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2297
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2310]
% 193.58/193.60 implies(truth,ifeq2(A,A,true,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 193.58/193.60 Current number of equations to process: 2768
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2298
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2311]
% 193.58/193.60 ifeq2(C,truth,ordered(truth,C),true) <-> implies(truth,ifeq2(A,A,true,B))
% 193.58/193.60 Current number of equations to process: 2768
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2299
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2312]
% 193.58/193.60 ifeq2(A,truth,ordered(truth,A),true) <-> ifeq2(implies(x,y),truth,true,true)
% 193.58/193.60 Current number of equations to process: 2767
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2300
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2313]
% 193.58/193.60 ifeq2(implies(x,y),truth,true,true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 193.58/193.60 Current number of equations to process: 2767
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2301
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2314]
% 193.58/193.60 ifeq2(A,truth,ordered(truth,A),true) <-> ifeq2(B,truth,ordered(truth,B),true)
% 193.58/193.60 Current number of equations to process: 2766
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2302
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2315]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <-> implies(truth,ordered(x,implies(truth,y)))
% 193.58/193.60 Current number of equations to process: 2752
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2303
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2316]
% 193.58/193.60 implies(truth,ordered(x,implies(truth,y))) <-> ordered(x,ifeq(A,A,y,B))
% 193.58/193.60 Current number of equations to process: 2752
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2304
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2317]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <-> implies(truth,ordered(implies(truth,x),y))
% 193.58/193.60 Current number of equations to process: 2751
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2305
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2318]
% 193.58/193.60 implies(truth,ordered(implies(truth,x),y)) <-> ordered(x,ifeq(A,A,y,B))
% 193.58/193.60 Current number of equations to process: 2751
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2306
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2319]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <-> implies(truth,implies(truth,ordered(x,y)))
% 193.58/193.60 Current number of equations to process: 2750
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2307
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2320]
% 193.58/193.60 implies(truth,implies(truth,ordered(x,y))) <-> ordered(x,ifeq(A,A,y,B))
% 193.58/193.60 Current number of equations to process: 2750
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2308
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2321]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <->
% 193.58/193.60 implies(truth,implies(truth,implies(truth,true)))
% 193.58/193.60 Current number of equations to process: 2748
% 193.58/193.60 Current number of ordered equations: 3
% 193.58/193.60 Current number of rules: 2309
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2322]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <->
% 193.58/193.60 implies(implies(truth,implies(truth,truth)),true)
% 193.58/193.60 Current number of equations to process: 2748
% 193.58/193.60 Current number of ordered equations: 2
% 193.58/193.60 Current number of rules: 2310
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2323]
% 193.58/193.60 implies(truth,implies(truth,implies(truth,true))) <->
% 193.58/193.60 ordered(x,ifeq(A,A,y,B))
% 193.58/193.60 Current number of equations to process: 2748
% 193.58/193.60 Current number of ordered equations: 1
% 193.58/193.60 Current number of rules: 2311
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2324]
% 193.58/193.60 implies(implies(truth,implies(truth,truth)),true) <->
% 193.58/193.60 ordered(x,ifeq(A,A,y,B))
% 193.58/193.60 Current number of equations to process: 2748
% 193.58/193.60 Current number of ordered equations: 0
% 193.58/193.60 Current number of rules: 2312
% 193.58/193.60 New rule produced :
% 193.58/193.60 [2325]
% 193.58/193.60 ordered(x,ifeq(A,A,y,B)) <->
% 193.58/193.60 implies(truth,implies(implies(truth,truth),true))
% 193.58/193.60 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 5
% 194.51/194.52 Current number of rules: 2313
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2326]
% 194.51/194.52 ordered(x,ifeq(A,A,y,B)) <->
% 194.51/194.52 implies(implies(truth,truth),implies(truth,true))
% 194.51/194.52 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 4
% 194.51/194.52 Current number of rules: 2314
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2327]
% 194.51/194.52 ordered(x,ifeq(A,A,y,B)) <->
% 194.51/194.52 implies(implies(implies(truth,truth),truth),true)
% 194.51/194.52 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 3
% 194.51/194.52 Current number of rules: 2315
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2328]
% 194.51/194.52 implies(truth,implies(implies(truth,truth),true)) <->
% 194.51/194.52 ordered(x,ifeq(A,A,y,B))
% 194.51/194.52 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 2
% 194.51/194.52 Current number of rules: 2316
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2329]
% 194.51/194.52 implies(implies(truth,truth),implies(truth,true)) <->
% 194.51/194.52 ordered(x,ifeq(A,A,y,B))
% 194.51/194.52 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 1
% 194.51/194.52 Current number of rules: 2317
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2330]
% 194.51/194.52 implies(implies(implies(truth,truth),truth),true) <->
% 194.51/194.52 ordered(x,ifeq(A,A,y,B))
% 194.51/194.52 Current number of equations to process: 2745
% 194.51/194.52 Current number of ordered equations: 0
% 194.51/194.52 Current number of rules: 2318
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2331]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <-> implies(truth,ordered(x,implies(truth,y)))
% 194.51/194.52 Current number of equations to process: 2735
% 194.51/194.52 Current number of ordered equations: 1
% 194.51/194.52 Current number of rules: 2319
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2332]
% 194.51/194.52 implies(truth,ordered(x,implies(truth,y))) <-> ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2735
% 194.51/194.52 Current number of ordered equations: 0
% 194.51/194.52 Current number of rules: 2320
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2333]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <-> implies(truth,ordered(implies(truth,x),y))
% 194.51/194.52 Current number of equations to process: 2734
% 194.51/194.52 Current number of ordered equations: 1
% 194.51/194.52 Current number of rules: 2321
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2334]
% 194.51/194.52 implies(truth,ordered(implies(truth,x),y)) <-> ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2734
% 194.51/194.52 Current number of ordered equations: 0
% 194.51/194.52 Current number of rules: 2322
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2335]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <-> implies(truth,implies(truth,ordered(x,y)))
% 194.51/194.52 Current number of equations to process: 2733
% 194.51/194.52 Current number of ordered equations: 1
% 194.51/194.52 Current number of rules: 2323
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2336]
% 194.51/194.52 implies(truth,implies(truth,ordered(x,y))) <-> ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2733
% 194.51/194.52 Current number of ordered equations: 0
% 194.51/194.52 Current number of rules: 2324
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2337]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <->
% 194.51/194.52 implies(truth,implies(truth,implies(truth,true)))
% 194.51/194.52 Current number of equations to process: 2731
% 194.51/194.52 Current number of ordered equations: 3
% 194.51/194.52 Current number of rules: 2325
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2338]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <->
% 194.51/194.52 implies(implies(truth,implies(truth,truth)),true)
% 194.51/194.52 Current number of equations to process: 2731
% 194.51/194.52 Current number of ordered equations: 2
% 194.51/194.52 Current number of rules: 2326
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2339]
% 194.51/194.52 implies(truth,implies(truth,implies(truth,true))) <->
% 194.51/194.52 ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2731
% 194.51/194.52 Current number of ordered equations: 1
% 194.51/194.52 Current number of rules: 2327
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2340]
% 194.51/194.52 implies(implies(truth,implies(truth,truth)),true) <->
% 194.51/194.52 ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2731
% 194.51/194.52 Current number of ordered equations: 0
% 194.51/194.52 Current number of rules: 2328
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2341]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <->
% 194.51/194.52 implies(truth,implies(implies(truth,truth),true))
% 194.51/194.52 Current number of equations to process: 2728
% 194.51/194.52 Current number of ordered equations: 5
% 194.51/194.52 Current number of rules: 2329
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2342]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <->
% 194.51/194.52 implies(implies(truth,truth),implies(truth,true))
% 194.51/194.52 Current number of equations to process: 2728
% 194.51/194.52 Current number of ordered equations: 4
% 194.51/194.52 Current number of rules: 2330
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2343]
% 194.51/194.52 ordered(ifeq(A,A,x,B),y) <->
% 194.51/194.52 implies(implies(implies(truth,truth),truth),true)
% 194.51/194.52 Current number of equations to process: 2728
% 194.51/194.52 Current number of ordered equations: 3
% 194.51/194.52 Current number of rules: 2331
% 194.51/194.52 New rule produced :
% 194.51/194.52 [2344]
% 194.51/194.52 implies(truth,implies(implies(truth,truth),true)) <->
% 194.51/194.52 ordered(ifeq(A,A,x,B),y)
% 194.51/194.52 Current number of equations to process: 2728
% 195.49/195.54 Current number of ordered equations: 2
% 195.49/195.54 Current number of rules: 2332
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2345]
% 195.49/195.54 implies(implies(truth,truth),implies(truth,true)) <->
% 195.49/195.54 ordered(ifeq(A,A,x,B),y)
% 195.49/195.54 Current number of equations to process: 2728
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2333
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2346]
% 195.49/195.54 implies(implies(implies(truth,truth),truth),true) <->
% 195.49/195.54 ordered(ifeq(A,A,x,B),y)
% 195.49/195.54 Current number of equations to process: 2728
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2334
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2347]
% 195.49/195.54 implies(truth,ordered(x,implies(truth,y))) <-> ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2717
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2335
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2348]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <-> implies(truth,ordered(x,implies(truth,y)))
% 195.49/195.54 Current number of equations to process: 2717
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2336
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2349]
% 195.49/195.54 implies(truth,ordered(implies(truth,x),y)) <-> ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2716
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2337
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2350]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <-> implies(truth,ordered(implies(truth,x),y))
% 195.49/195.54 Current number of equations to process: 2716
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2338
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2351]
% 195.49/195.54 implies(truth,implies(truth,implies(truth,true))) <->
% 195.49/195.54 ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2714
% 195.49/195.54 Current number of ordered equations: 3
% 195.49/195.54 Current number of rules: 2339
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2352]
% 195.49/195.54 implies(implies(truth,implies(truth,truth)),true) <->
% 195.49/195.54 ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2714
% 195.49/195.54 Current number of ordered equations: 2
% 195.49/195.54 Current number of rules: 2340
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2353]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <->
% 195.49/195.54 implies(truth,implies(truth,implies(truth,true)))
% 195.49/195.54 Current number of equations to process: 2714
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2341
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2354]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <->
% 195.49/195.54 implies(implies(truth,implies(truth,truth)),true)
% 195.49/195.54 Current number of equations to process: 2714
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2342
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2355]
% 195.49/195.54 implies(truth,implies(implies(truth,truth),true)) <->
% 195.49/195.54 ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 5
% 195.49/195.54 Current number of rules: 2343
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2356]
% 195.49/195.54 implies(implies(truth,truth),implies(truth,true)) <->
% 195.49/195.54 ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 4
% 195.49/195.54 Current number of rules: 2344
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2357]
% 195.49/195.54 implies(implies(implies(truth,truth),truth),true) <->
% 195.49/195.54 ifeq(A,A,ordered(x,y),B)
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 3
% 195.49/195.54 Current number of rules: 2345
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2358]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <->
% 195.49/195.54 implies(truth,implies(implies(truth,truth),true))
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 2
% 195.49/195.54 Current number of rules: 2346
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2359]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <->
% 195.49/195.54 implies(implies(truth,truth),implies(truth,true))
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2347
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2360]
% 195.49/195.54 ifeq(A,A,ordered(x,y),B) <->
% 195.49/195.54 implies(implies(implies(truth,truth),truth),true)
% 195.49/195.54 Current number of equations to process: 2711
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2348
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2361] implies(truth,true) <-> ifeq(A,A,implies(implies(truth,truth),true),B)
% 195.49/195.54 Current number of equations to process: 2704
% 195.49/195.54 Current number of ordered equations: 1
% 195.49/195.54 Current number of rules: 2349
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2362] ifeq(A,A,implies(implies(truth,truth),true),B) <-> implies(truth,true)
% 195.49/195.54 Current number of equations to process: 2704
% 195.49/195.54 Current number of ordered equations: 0
% 195.49/195.54 Current number of rules: 2350
% 195.49/195.54 New rule produced :
% 195.49/195.54 [2363] implies(B,B) <-> ifeq(A,A,implies(implies(truth,B),B),C)
% 196.41/196.42 Current number of equations to process: 2697
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2351
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2364] ifeq(A,A,implies(implies(truth,B),B),C) <-> implies(B,B)
% 196.41/196.42 Current number of equations to process: 2697
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2352
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2365] ifeq(A,A,(truth big_V truth) big_V B,C) <-> implies(B,B)
% 196.41/196.42 Current number of equations to process: 2696
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2353
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2366] implies(B,B) <-> ifeq(A,A,(truth big_V truth) big_V B,C)
% 196.41/196.42 Current number of equations to process: 2696
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2354
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2367] ifeq(A,A,implies(truth big_V truth,truth),B) <-> implies(truth,truth)
% 196.41/196.42 Current number of equations to process: 2695
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2355
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2368] implies(truth,truth) <-> ifeq(A,A,implies(truth big_V truth,truth),B)
% 196.41/196.42 Current number of equations to process: 2695
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2356
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2369] implies(true,true) <-> ifeq(A,A,implies(ordered(x,y),true),B)
% 196.41/196.42 Current number of equations to process: 2694
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2357
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2370] ifeq(A,A,implies(ordered(x,y),true),B) <-> implies(true,true)
% 196.41/196.42 Current number of equations to process: 2694
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2358
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2371] ifeq(X,X,truth big_V B,Y) <-> ifeq(A,A,implies(B,B),C)
% 196.41/196.42 Current number of equations to process: 2691
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2359
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2372] ifeq(A,A,implies(B,B),C) <-> ifeq(X,X,truth big_V B,Y)
% 196.41/196.42 Current number of equations to process: 2691
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2360
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2373] ifeq2(A,A,implies(B,B),C) <-> ifeq(X,X,truth big_V B,Y)
% 196.41/196.42 Current number of equations to process: 2690
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2361
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2374] ifeq(X,X,truth big_V B,Y) <-> ifeq2(A,A,implies(B,B),C)
% 196.41/196.42 Current number of equations to process: 2690
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2362
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2375]
% 196.41/196.42 ifeq(B,B,truth big_V A,C) <-> implies(truth,implies(truth,implies(A,A)))
% 196.41/196.42 Current number of equations to process: 2688
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2363
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2376]
% 196.41/196.42 implies(truth,implies(truth,implies(A,A))) <-> ifeq(B,B,truth big_V A,C)
% 196.41/196.42 Current number of equations to process: 2688
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2364
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2377]
% 196.41/196.42 ifeq(B,B,truth big_V A,C) <-> implies(implies(truth,truth),implies(A,A))
% 196.41/196.42 Current number of equations to process: 2687
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2365
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2378]
% 196.41/196.42 implies(implies(truth,truth),implies(A,A)) <-> ifeq(B,B,truth big_V A,C)
% 196.41/196.42 Current number of equations to process: 2687
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2366
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2379] ifeq(A,A,truth big_V truth,B) big_V C <-> implies(C,C)
% 196.41/196.42 Current number of equations to process: 2685
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2367
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2380] implies(C,C) <-> ifeq(A,A,truth big_V truth,B) big_V C
% 196.41/196.42 Current number of equations to process: 2685
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2368
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2381] implies(ifeq(A,A,truth big_V truth,B),true) <-> ordered(x,y)
% 196.41/196.42 Current number of equations to process: 2684
% 196.41/196.42 Current number of ordered equations: 1
% 196.41/196.42 Current number of rules: 2369
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2382] ordered(x,y) <-> implies(ifeq(A,A,truth big_V truth,B),true)
% 196.41/196.42 Current number of equations to process: 2684
% 196.41/196.42 Current number of ordered equations: 0
% 196.41/196.42 Current number of rules: 2370
% 196.41/196.42 New rule produced :
% 196.41/196.42 [2383] truth <-> implies(ifeq(A,A,truth big_V not(truth),B),truth)
% 196.41/196.42 Current number of equations to process: 2682
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2371
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2384] implies(ifeq(A,A,truth big_V not(truth),B),truth) <-> truth
% 197.18/197.27 Current number of equations to process: 2682
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2372
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2385] ifeq(X,X,truth,Y) big_V B <-> ifeq(A,A,implies(B,B),C)
% 197.18/197.27 Current number of equations to process: 2681
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2373
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2386] ifeq(A,A,implies(B,B),C) <-> ifeq(X,X,truth,Y) big_V B
% 197.18/197.27 Current number of equations to process: 2681
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2374
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2387] ifeq2(A,A,implies(B,B),C) <-> ifeq(X,X,truth,Y) big_V B
% 197.18/197.27 Current number of equations to process: 2680
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2375
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2388] ifeq(X,X,truth,Y) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 197.18/197.27 Current number of equations to process: 2680
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2376
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2389]
% 197.18/197.27 implies(truth,implies(truth,implies(A,A))) <-> ifeq(B,B,truth,C) big_V A
% 197.18/197.27 Current number of equations to process: 2678
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2377
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2390]
% 197.18/197.27 ifeq(B,B,truth,C) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 197.18/197.27 Current number of equations to process: 2678
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2378
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2391]
% 197.18/197.27 implies(implies(truth,truth),implies(A,A)) <-> ifeq(B,B,truth,C) big_V A
% 197.18/197.27 Current number of equations to process: 2677
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2379
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2392]
% 197.18/197.27 ifeq(B,B,truth,C) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 197.18/197.27 Current number of equations to process: 2677
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2380
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2393] implies(truth,truth) big_V ifeq(A,A,truth,B) <-> implies(truth,truth)
% 197.18/197.27 Current number of equations to process: 2676
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2381
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2394] implies(truth,truth) <-> implies(truth,truth) big_V ifeq(A,A,truth,B)
% 197.18/197.27 Current number of equations to process: 2676
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2382
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2395] implies(C,C) <-> (truth big_V ifeq(A,A,truth,B)) big_V C
% 197.18/197.27 Current number of equations to process: 2675
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2383
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2396] (truth big_V ifeq(A,A,truth,B)) big_V C <-> implies(C,C)
% 197.18/197.27 Current number of equations to process: 2675
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2384
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2397] truth big_V C <-> implies(truth,ifeq(A,A,truth,B) big_V C)
% 197.18/197.27 Current number of equations to process: 2674
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2385
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2398] implies(truth,ifeq(A,A,truth,B) big_V C) <-> truth big_V C
% 197.18/197.27 Current number of equations to process: 2674
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2386
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2399] ordered(x,y) <-> implies(truth big_V ifeq(A,A,truth,B),true)
% 197.18/197.27 Current number of equations to process: 2673
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2387
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2400] implies(truth big_V ifeq(A,A,truth,B),true) <-> ordered(x,y)
% 197.18/197.27 Current number of equations to process: 2673
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2388
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2401] truth <-> implies(not(truth) big_V ifeq(A,A,truth,B),truth)
% 197.18/197.27 Current number of equations to process: 2671
% 197.18/197.27 Current number of ordered equations: 1
% 197.18/197.27 Current number of rules: 2389
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2402] implies(not(truth) big_V ifeq(A,A,truth,B),truth) <-> truth
% 197.18/197.27 Current number of equations to process: 2671
% 197.18/197.27 Current number of ordered equations: 0
% 197.18/197.27 Current number of rules: 2390
% 197.18/197.27 New rule produced :
% 197.18/197.27 [2403] ifeq(X,X,truth,Y) big_V B <-> ifeq(A,A,truth big_V B,C)
% 197.18/197.27 Current number of equations to process: 2670
% 197.18/197.27 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2391
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2404] ifeq(A,A,truth big_V B,C) <-> ifeq(X,X,truth,Y) big_V B
% 198.21/198.25 Current number of equations to process: 2670
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2392
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2405] truth big_V B <-> ifeq(A,A,implies(truth,truth) big_V B,C)
% 198.21/198.25 Current number of equations to process: 2663
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2393
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2406] ifeq(A,A,implies(truth,truth) big_V B,C) <-> truth big_V B
% 198.21/198.25 Current number of equations to process: 2663
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2394
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2407] ifeq(A,A,ifeq(B,B,truth,C),X) <-> truth big_V truth
% 198.21/198.25 Current number of equations to process: 2662
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2395
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2408] truth big_V truth <-> ifeq(A,A,ifeq(B,B,truth,C),X)
% 198.21/198.25 Current number of equations to process: 2662
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2396
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2409] ifeq(A,A,ifeq2(B,B,truth,C),X) <-> truth big_V truth
% 198.21/198.25 Current number of equations to process: 2661
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2397
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2410] truth big_V truth <-> ifeq(A,A,ifeq2(B,B,truth,C),X)
% 198.21/198.25 Current number of equations to process: 2661
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2398
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2411] truth big_V B <-> ifeq(A,A,implies(implies(B,truth),truth),C)
% 198.21/198.25 Current number of equations to process: 2660
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2399
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2412] ifeq(A,A,implies(implies(B,truth),truth),C) <-> truth big_V B
% 198.21/198.25 Current number of equations to process: 2660
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2400
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2413] ifeq2(A,A,truth big_V B,C) <-> ifeq(X,X,implies(B,B),Y)
% 198.21/198.25 Current number of equations to process: 2656
% 198.21/198.25 Current number of ordered equations: 3
% 198.21/198.25 Current number of rules: 2401
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2414] ifeq2(A,A,truth,B) big_V C <-> ifeq(X,X,implies(C,C),Y)
% 198.21/198.25 Current number of equations to process: 2656
% 198.21/198.25 Current number of ordered equations: 2
% 198.21/198.25 Current number of rules: 2402
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2415] ifeq(X,X,implies(B,B),Y) <-> ifeq2(A,A,truth big_V B,C)
% 198.21/198.25 Current number of equations to process: 2656
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2403
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2416] ifeq(X,X,implies(C,C),Y) <-> ifeq2(A,A,truth,B) big_V C
% 198.21/198.25 Current number of equations to process: 2656
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2404
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2417]
% 198.21/198.25 ifeq(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth)) big_V A
% 198.21/198.25 Current number of equations to process: 2654
% 198.21/198.25 Current number of ordered equations: 3
% 198.21/198.25 Current number of rules: 2405
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2418]
% 198.21/198.25 ifeq(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth big_V A))
% 198.21/198.25 Current number of equations to process: 2654
% 198.21/198.25 Current number of ordered equations: 2
% 198.21/198.25 Current number of rules: 2406
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2419]
% 198.21/198.25 implies(truth,implies(truth,truth)) big_V A <-> ifeq(B,B,implies(A,A),C)
% 198.21/198.25 Current number of equations to process: 2654
% 198.21/198.25 Current number of ordered equations: 1
% 198.21/198.25 Current number of rules: 2407
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2420]
% 198.21/198.25 implies(truth,implies(truth,truth big_V A)) <-> ifeq(B,B,implies(A,A),C)
% 198.21/198.25 Current number of equations to process: 2654
% 198.21/198.25 Current number of ordered equations: 0
% 198.21/198.25 Current number of rules: 2408
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2421]
% 198.21/198.25 ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth big_V A)
% 198.21/198.25 Current number of equations to process: 2652
% 198.21/198.25 Current number of ordered equations: 3
% 198.21/198.25 Current number of rules: 2409
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2422]
% 198.21/198.25 ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth) big_V A
% 198.21/198.25 Current number of equations to process: 2652
% 198.21/198.25 Current number of ordered equations: 2
% 198.21/198.25 Current number of rules: 2410
% 198.21/198.25 New rule produced :
% 198.21/198.25 [2423]
% 198.21/198.25 implies(implies(truth,truth),truth big_V A) <-> ifeq(B,B,implies(A,A),C)
% 198.21/198.25 Current number of equations to process: 2652
% 198.21/198.25 Current number of ordered equations: 1
% 199.30/199.33 Current number of rules: 2411
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2424]
% 199.30/199.33 implies(implies(truth,truth),truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 199.30/199.33 Current number of equations to process: 2652
% 199.30/199.33 Current number of ordered equations: 0
% 199.30/199.33 Current number of rules: 2412
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2425]
% 199.30/199.33 ordered(x,implies(truth,implies(truth,y))) <->
% 199.30/199.33 implies(truth,ifeq(A,A,true,B))
% 199.30/199.33 Current number of equations to process: 2644
% 199.30/199.33 Current number of ordered equations: 3
% 199.30/199.33 Current number of rules: 2413
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2426]
% 199.30/199.33 ordered(implies(truth,implies(truth,x)),y) <->
% 199.30/199.33 implies(truth,ifeq(A,A,true,B))
% 199.30/199.33 Current number of equations to process: 2644
% 199.30/199.33 Current number of ordered equations: 2
% 199.30/199.33 Current number of rules: 2414
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2427]
% 199.30/199.33 implies(truth,ifeq(A,A,true,B)) <->
% 199.30/199.33 ordered(x,implies(truth,implies(truth,y)))
% 199.30/199.33 Current number of equations to process: 2644
% 199.30/199.33 Current number of ordered equations: 1
% 199.30/199.33 Current number of rules: 2415
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2428]
% 199.30/199.33 implies(truth,ifeq(A,A,true,B)) <->
% 199.30/199.33 ordered(implies(truth,implies(truth,x)),y)
% 199.30/199.33 Current number of equations to process: 2644
% 199.30/199.33 Current number of ordered equations: 0
% 199.30/199.33 Current number of rules: 2416
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2429]
% 199.30/199.33 ordered(x,implies(implies(truth,truth),y)) <->
% 199.30/199.33 implies(truth,ifeq(A,A,true,B))
% 199.30/199.33 Current number of equations to process: 2641
% 199.30/199.33 Current number of ordered equations: 5
% 199.30/199.33 Current number of rules: 2417
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2430]
% 199.30/199.33 implies(truth,ifeq(A,A,true,B)) <->
% 199.30/199.33 ordered(x,implies(implies(truth,truth),y))
% 199.30/199.33 Current number of equations to process: 2641
% 199.30/199.33 Current number of ordered equations: 4
% 199.30/199.33 Current number of rules: 2418
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2431]
% 199.30/199.33 implies(truth,ifeq(A,A,true,B)) <->
% 199.30/199.33 implies(implies(truth,truth),ordered(x,y))
% 199.30/199.33 Current number of equations to process: 2641
% 199.30/199.33 Current number of ordered equations: 3
% 199.30/199.33 Current number of rules: 2419
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2432]
% 199.30/199.33 implies(truth,ifeq(A,A,true,B)) <->
% 199.30/199.33 ordered(implies(implies(truth,truth),x),y)
% 199.30/199.33 Current number of equations to process: 2641
% 199.30/199.33 Current number of ordered equations: 2
% 199.30/199.33 Current number of rules: 2420
% 199.30/199.33 New rule produced :
% 199.30/199.33 [2433]
% 199.30/199.33 implies(implies(truth,truth),ordered(x,y)) <->
% 199.30/199.34 implies(truth,ifeq(A,A,true,B))
% 199.30/199.34 Current number of equations to process: 2641
% 199.30/199.34 Current number of ordered equations: 1
% 199.30/199.34 Current number of rules: 2421
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2434]
% 199.30/199.34 ordered(implies(implies(truth,truth),x),y) <->
% 199.30/199.34 implies(truth,ifeq(A,A,true,B))
% 199.30/199.34 Current number of equations to process: 2641
% 199.30/199.34 Current number of ordered equations: 0
% 199.30/199.34 Current number of rules: 2422
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2435] true big_V truth <-> implies(implies(truth,ifeq(A,A,true,B)),true)
% 199.30/199.34 Current number of equations to process: 2640
% 199.30/199.34 Current number of ordered equations: 1
% 199.30/199.34 Current number of rules: 2423
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2436] implies(implies(truth,ifeq(A,A,true,B)),true) <-> true big_V truth
% 199.30/199.34 Current number of equations to process: 2640
% 199.30/199.34 Current number of ordered equations: 0
% 199.30/199.34 Current number of rules: 2424
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2437]
% 199.30/199.34 ordered(x,implies(truth,implies(truth,y))) <->
% 199.30/199.34 implies(ifeq(A,A,truth,B),true)
% 199.30/199.34 Current number of equations to process: 2631
% 199.30/199.34 Current number of ordered equations: 5
% 199.30/199.34 Current number of rules: 2425
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2438]
% 199.30/199.34 ordered(implies(truth,implies(truth,x)),y) <->
% 199.30/199.34 implies(ifeq(A,A,truth,B),true)
% 199.30/199.34 Current number of equations to process: 2631
% 199.30/199.34 Current number of ordered equations: 4
% 199.30/199.34 Current number of rules: 2426
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2439]
% 199.30/199.34 implies(truth,implies(truth,ordered(x,y))) <->
% 199.30/199.34 implies(ifeq(A,A,truth,B),true)
% 199.30/199.34 Current number of equations to process: 2631
% 199.30/199.34 Current number of ordered equations: 3
% 199.30/199.34 Current number of rules: 2427
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2440]
% 199.30/199.34 implies(ifeq(A,A,truth,B),true) <->
% 199.30/199.34 ordered(x,implies(truth,implies(truth,y)))
% 199.30/199.34 Current number of equations to process: 2631
% 199.30/199.34 Current number of ordered equations: 2
% 199.30/199.34 Current number of rules: 2428
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2441]
% 199.30/199.34 implies(ifeq(A,A,truth,B),true) <->
% 199.30/199.34 ordered(implies(truth,implies(truth,x)),y)
% 199.30/199.34 Current number of equations to process: 2631
% 199.30/199.34 Current number of ordered equations: 1
% 199.30/199.34 Current number of rules: 2429
% 199.30/199.34 New rule produced :
% 199.30/199.34 [2442]
% 199.30/199.34 implies(ifeq(A,A,truth,B),true) <->
% 199.30/199.34 implies(truth,implies(truth,ordered(x,y)))
% 199.30/199.34 Current number of equations to process: 2631
% 200.39/200.40 Current number of ordered equations: 0
% 200.39/200.40 Current number of rules: 2430
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2443]
% 200.39/200.40 ordered(x,implies(implies(truth,truth),y)) <->
% 200.39/200.40 implies(ifeq(A,A,truth,B),true)
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 5
% 200.39/200.40 Current number of rules: 2431
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2444]
% 200.39/200.40 implies(implies(truth,truth),ordered(x,y)) <->
% 200.39/200.40 implies(ifeq(A,A,truth,B),true)
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 4
% 200.39/200.40 Current number of rules: 2432
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2445]
% 200.39/200.40 implies(ifeq(A,A,truth,B),true) <->
% 200.39/200.40 ordered(x,implies(implies(truth,truth),y))
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 3
% 200.39/200.40 Current number of rules: 2433
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2446]
% 200.39/200.40 implies(ifeq(A,A,truth,B),true) <->
% 200.39/200.40 implies(implies(truth,truth),ordered(x,y))
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 2
% 200.39/200.40 Current number of rules: 2434
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2447]
% 200.39/200.40 implies(ifeq(A,A,truth,B),true) <->
% 200.39/200.40 ordered(implies(implies(truth,truth),x),y)
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 1
% 200.39/200.40 Current number of rules: 2435
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2448]
% 200.39/200.40 ordered(implies(implies(truth,truth),x),y) <->
% 200.39/200.40 implies(ifeq(A,A,truth,B),true)
% 200.39/200.40 Current number of equations to process: 2628
% 200.39/200.40 Current number of ordered equations: 0
% 200.39/200.40 Current number of rules: 2436
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2449] true big_V truth <-> implies(implies(ifeq(A,A,truth,B),true),true)
% 200.39/200.40 Current number of equations to process: 2627
% 200.39/200.40 Current number of ordered equations: 1
% 200.39/200.40 Current number of rules: 2437
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2450] implies(implies(ifeq(A,A,truth,B),true),true) <-> true big_V truth
% 200.39/200.40 Current number of equations to process: 2627
% 200.39/200.40 Current number of ordered equations: 0
% 200.39/200.40 Current number of rules: 2438
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2451]
% 200.39/200.40 ordered(x,implies(truth,implies(truth,y))) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 5
% 200.39/200.40 Current number of rules: 2439
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2452]
% 200.39/200.40 ordered(implies(truth,implies(truth,x)),y) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 4
% 200.39/200.40 Current number of rules: 2440
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2453]
% 200.39/200.40 implies(truth,implies(truth,ordered(x,y))) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 3
% 200.39/200.40 Current number of rules: 2441
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2454]
% 200.39/200.40 ifeq(A,A,implies(truth,true),B) <->
% 200.39/200.40 ordered(x,implies(truth,implies(truth,y)))
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 2
% 200.39/200.40 Current number of rules: 2442
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2455]
% 200.39/200.40 ifeq(A,A,implies(truth,true),B) <->
% 200.39/200.40 ordered(implies(truth,implies(truth,x)),y)
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 1
% 200.39/200.40 Current number of rules: 2443
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2456]
% 200.39/200.40 ifeq(A,A,implies(truth,true),B) <->
% 200.39/200.40 implies(truth,implies(truth,ordered(x,y)))
% 200.39/200.40 Current number of equations to process: 2617
% 200.39/200.40 Current number of ordered equations: 0
% 200.39/200.40 Current number of rules: 2444
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2457]
% 200.39/200.40 ordered(x,implies(implies(truth,truth),y)) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2614
% 200.39/200.40 Current number of ordered equations: 5
% 200.39/200.40 Current number of rules: 2445
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2458]
% 200.39/200.40 implies(implies(truth,truth),ordered(x,y)) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2614
% 200.39/200.40 Current number of ordered equations: 4
% 200.39/200.40 Current number of rules: 2446
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2459]
% 200.39/200.40 ordered(implies(implies(truth,truth),x),y) <->
% 200.39/200.40 ifeq(A,A,implies(truth,true),B)
% 200.39/200.40 Current number of equations to process: 2614
% 200.39/200.40 Current number of ordered equations: 3
% 200.39/200.40 Current number of rules: 2447
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2460]
% 200.39/200.40 ifeq(A,A,implies(truth,true),B) <->
% 200.39/200.40 ordered(x,implies(implies(truth,truth),y))
% 200.39/200.40 Current number of equations to process: 2614
% 200.39/200.40 Current number of ordered equations: 2
% 200.39/200.40 Current number of rules: 2448
% 200.39/200.40 New rule produced :
% 200.39/200.40 [2461]
% 200.39/200.40 ifeq(A,A,implies(truth,true),B) <->
% 200.39/200.40 implies(implies(truth,truth),ordered(x,y))
% 201.59/201.59 Current number of equations to process: 2614
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2449
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2462]
% 201.59/201.59 ifeq(A,A,implies(truth,true),B) <->
% 201.59/201.59 ordered(implies(implies(truth,truth),x),y)
% 201.59/201.59 Current number of equations to process: 2614
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2450
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2463] true big_V truth <-> implies(ifeq(A,A,implies(truth,true),B),true)
% 201.59/201.59 Current number of equations to process: 2613
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2451
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2464] implies(ifeq(A,A,implies(truth,true),B),true) <-> true big_V truth
% 201.59/201.59 Current number of equations to process: 2613
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2452
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2465] ordered(x,y) <-> implies(truth big_V truth,ifeq(A,A,true,B))
% 201.59/201.59 Current number of equations to process: 2607
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2453
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2466] implies(truth big_V truth,ifeq(A,A,true,B)) <-> ordered(x,y)
% 201.59/201.59 Current number of equations to process: 2607
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2454
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2467] ordered(x,y) <-> ifeq(A,A,implies(truth big_V truth,true),B)
% 201.59/201.59 Current number of equations to process: 2596
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2455
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2468] ifeq(A,A,implies(truth big_V truth,true),B) <-> ordered(x,y)
% 201.59/201.59 Current number of equations to process: 2596
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2456
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2469]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,ordered(x,implies(truth,y)))
% 201.59/201.59 Current number of equations to process: 2578
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2457
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2470]
% 201.59/201.59 implies(truth,ordered(x,implies(truth,y))) <-> ordered(x,ifeq2(A,A,y,B))
% 201.59/201.59 Current number of equations to process: 2578
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2458
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2471]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,ordered(implies(truth,x),y))
% 201.59/201.59 Current number of equations to process: 2577
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2459
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2472]
% 201.59/201.59 implies(truth,ordered(implies(truth,x),y)) <-> ordered(x,ifeq2(A,A,y,B))
% 201.59/201.59 Current number of equations to process: 2577
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2460
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2473]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <-> implies(truth,implies(truth,ordered(x,y)))
% 201.59/201.59 Current number of equations to process: 2576
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2461
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2474]
% 201.59/201.59 implies(truth,implies(truth,ordered(x,y))) <-> ordered(x,ifeq2(A,A,y,B))
% 201.59/201.59 Current number of equations to process: 2576
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2462
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2475]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <->
% 201.59/201.59 implies(truth,implies(truth,implies(truth,true)))
% 201.59/201.59 Current number of equations to process: 2574
% 201.59/201.59 Current number of ordered equations: 3
% 201.59/201.59 Current number of rules: 2463
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2476]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <->
% 201.59/201.59 implies(implies(truth,implies(truth,truth)),true)
% 201.59/201.59 Current number of equations to process: 2574
% 201.59/201.59 Current number of ordered equations: 2
% 201.59/201.59 Current number of rules: 2464
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2477]
% 201.59/201.59 implies(truth,implies(truth,implies(truth,true))) <->
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B))
% 201.59/201.59 Current number of equations to process: 2574
% 201.59/201.59 Current number of ordered equations: 1
% 201.59/201.59 Current number of rules: 2465
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2478]
% 201.59/201.59 implies(implies(truth,implies(truth,truth)),true) <->
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B))
% 201.59/201.59 Current number of equations to process: 2574
% 201.59/201.59 Current number of ordered equations: 0
% 201.59/201.59 Current number of rules: 2466
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2479]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <->
% 201.59/201.59 implies(truth,implies(implies(truth,truth),true))
% 201.59/201.59 Current number of equations to process: 2571
% 201.59/201.59 Current number of ordered equations: 5
% 201.59/201.59 Current number of rules: 2467
% 201.59/201.59 New rule produced :
% 201.59/201.59 [2480]
% 201.59/201.59 ordered(x,ifeq2(A,A,y,B)) <->
% 201.59/201.59 implies(implies(truth,truth),implies(truth,true))
% 201.59/201.59 Current number of equations to process: 2571
% 202.59/202.62 Current number of ordered equations: 4
% 202.59/202.62 Current number of rules: 2468
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2481]
% 202.59/202.62 ordered(x,ifeq2(A,A,y,B)) <->
% 202.59/202.62 implies(implies(implies(truth,truth),truth),true)
% 202.59/202.62 Current number of equations to process: 2571
% 202.59/202.62 Current number of ordered equations: 3
% 202.59/202.62 Current number of rules: 2469
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2482]
% 202.59/202.62 implies(truth,implies(implies(truth,truth),true)) <->
% 202.59/202.62 ordered(x,ifeq2(A,A,y,B))
% 202.59/202.62 Current number of equations to process: 2571
% 202.59/202.62 Current number of ordered equations: 2
% 202.59/202.62 Current number of rules: 2470
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2483]
% 202.59/202.62 implies(implies(truth,truth),implies(truth,true)) <->
% 202.59/202.62 ordered(x,ifeq2(A,A,y,B))
% 202.59/202.62 Current number of equations to process: 2571
% 202.59/202.62 Current number of ordered equations: 1
% 202.59/202.62 Current number of rules: 2471
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2484]
% 202.59/202.62 implies(implies(implies(truth,truth),truth),true) <->
% 202.59/202.62 ordered(x,ifeq2(A,A,y,B))
% 202.59/202.62 Current number of equations to process: 2571
% 202.59/202.62 Current number of ordered equations: 0
% 202.59/202.62 Current number of rules: 2472
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2485]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <-> implies(truth,ordered(x,implies(truth,y)))
% 202.59/202.62 Current number of equations to process: 2559
% 202.59/202.62 Current number of ordered equations: 1
% 202.59/202.62 Current number of rules: 2473
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2486]
% 202.59/202.62 implies(truth,ordered(x,implies(truth,y))) <-> ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2559
% 202.59/202.62 Current number of ordered equations: 0
% 202.59/202.62 Current number of rules: 2474
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2487]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <-> implies(truth,ordered(implies(truth,x),y))
% 202.59/202.62 Current number of equations to process: 2558
% 202.59/202.62 Current number of ordered equations: 1
% 202.59/202.62 Current number of rules: 2475
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2488]
% 202.59/202.62 implies(truth,ordered(implies(truth,x),y)) <-> ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2558
% 202.59/202.62 Current number of ordered equations: 0
% 202.59/202.62 Current number of rules: 2476
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2489]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <-> implies(truth,implies(truth,ordered(x,y)))
% 202.59/202.62 Current number of equations to process: 2557
% 202.59/202.62 Current number of ordered equations: 1
% 202.59/202.62 Current number of rules: 2477
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2490]
% 202.59/202.62 implies(truth,implies(truth,ordered(x,y))) <-> ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2557
% 202.59/202.62 Current number of ordered equations: 0
% 202.59/202.62 Current number of rules: 2478
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2491]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <->
% 202.59/202.62 implies(truth,implies(truth,implies(truth,true)))
% 202.59/202.62 Current number of equations to process: 2555
% 202.59/202.62 Current number of ordered equations: 3
% 202.59/202.62 Current number of rules: 2479
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2492]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <->
% 202.59/202.62 implies(implies(truth,implies(truth,truth)),true)
% 202.59/202.62 Current number of equations to process: 2555
% 202.59/202.62 Current number of ordered equations: 2
% 202.59/202.62 Current number of rules: 2480
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2493]
% 202.59/202.62 implies(truth,implies(truth,implies(truth,true))) <->
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2555
% 202.59/202.62 Current number of ordered equations: 1
% 202.59/202.62 Current number of rules: 2481
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2494]
% 202.59/202.62 implies(implies(truth,implies(truth,truth)),true) <->
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2555
% 202.59/202.62 Current number of ordered equations: 0
% 202.59/202.62 Current number of rules: 2482
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2495]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <->
% 202.59/202.62 implies(truth,implies(implies(truth,truth),true))
% 202.59/202.62 Current number of equations to process: 2552
% 202.59/202.62 Current number of ordered equations: 5
% 202.59/202.62 Current number of rules: 2483
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2496]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <->
% 202.59/202.62 implies(implies(truth,truth),implies(truth,true))
% 202.59/202.62 Current number of equations to process: 2552
% 202.59/202.62 Current number of ordered equations: 4
% 202.59/202.62 Current number of rules: 2484
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2497]
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y) <->
% 202.59/202.62 implies(implies(implies(truth,truth),truth),true)
% 202.59/202.62 Current number of equations to process: 2552
% 202.59/202.62 Current number of ordered equations: 3
% 202.59/202.62 Current number of rules: 2485
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2498]
% 202.59/202.62 implies(truth,implies(implies(truth,truth),true)) <->
% 202.59/202.62 ordered(ifeq2(A,A,x,B),y)
% 202.59/202.62 Current number of equations to process: 2552
% 202.59/202.62 Current number of ordered equations: 2
% 202.59/202.62 Current number of rules: 2486
% 202.59/202.62 New rule produced :
% 202.59/202.62 [2499]
% 202.59/202.62 implies(implies(truth,truth),implies(truth,true)) <->
% 203.78/203.84 ordered(ifeq2(A,A,x,B),y)
% 203.78/203.84 Current number of equations to process: 2552
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2487
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2500]
% 203.78/203.84 implies(implies(implies(truth,truth),truth),true) <->
% 203.78/203.84 ordered(ifeq2(A,A,x,B),y)
% 203.78/203.84 Current number of equations to process: 2552
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2488
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2501]
% 203.78/203.84 implies(truth,ordered(x,implies(truth,y))) <-> ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2539
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2489
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2502]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <-> implies(truth,ordered(x,implies(truth,y)))
% 203.78/203.84 Current number of equations to process: 2539
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2490
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2503]
% 203.78/203.84 implies(truth,ordered(implies(truth,x),y)) <-> ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2538
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2491
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2504]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <-> implies(truth,ordered(implies(truth,x),y))
% 203.78/203.84 Current number of equations to process: 2538
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2492
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2505]
% 203.78/203.84 implies(truth,implies(truth,implies(truth,true))) <->
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2536
% 203.78/203.84 Current number of ordered equations: 3
% 203.78/203.84 Current number of rules: 2493
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2506]
% 203.78/203.84 implies(implies(truth,implies(truth,truth)),true) <->
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2536
% 203.78/203.84 Current number of ordered equations: 2
% 203.78/203.84 Current number of rules: 2494
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2507]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <->
% 203.78/203.84 implies(truth,implies(truth,implies(truth,true)))
% 203.78/203.84 Current number of equations to process: 2536
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2495
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2508]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <->
% 203.78/203.84 implies(implies(truth,implies(truth,truth)),true)
% 203.78/203.84 Current number of equations to process: 2536
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2496
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2509]
% 203.78/203.84 implies(truth,implies(implies(truth,truth),true)) <->
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 5
% 203.78/203.84 Current number of rules: 2497
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2510]
% 203.78/203.84 implies(implies(truth,truth),implies(truth,true)) <->
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 4
% 203.78/203.84 Current number of rules: 2498
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2511]
% 203.78/203.84 implies(implies(implies(truth,truth),truth),true) <->
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B)
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 3
% 203.78/203.84 Current number of rules: 2499
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2512]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <->
% 203.78/203.84 implies(truth,implies(implies(truth,truth),true))
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 2
% 203.78/203.84 Current number of rules: 2500
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2513]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <->
% 203.78/203.84 implies(implies(truth,truth),implies(truth,true))
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2501
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2514]
% 203.78/203.84 ifeq2(A,A,ordered(x,y),B) <->
% 203.78/203.84 implies(implies(implies(truth,truth),truth),true)
% 203.78/203.84 Current number of equations to process: 2533
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2502
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2515]
% 203.78/203.84 ifeq2(A,A,implies(implies(truth,truth),true),B) <-> implies(truth,true)
% 203.78/203.84 Current number of equations to process: 2524
% 203.78/203.84 Current number of ordered equations: 1
% 203.78/203.84 Current number of rules: 2503
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2516]
% 203.78/203.84 implies(truth,true) <-> ifeq2(A,A,implies(implies(truth,truth),true),B)
% 203.78/203.84 Current number of equations to process: 2524
% 203.78/203.84 Current number of ordered equations: 0
% 203.78/203.84 Current number of rules: 2504
% 203.78/203.84 New rule produced :
% 203.78/203.84 [2517] ifeq2(A,A,(truth big_V truth) big_V B,C) <-> implies(B,B)
% 203.78/203.84 Current number of equations to process: 2516
% 203.78/203.84 Current number of ordered equations: 3
% 203.78/203.84 Current number of rules: 2505
% 203.78/203.84 New rule produced :
% 204.81/204.82 [2518] implies(B,B) <-> ifeq2(A,A,(truth big_V truth) big_V B,C)
% 204.81/204.82 Current number of equations to process: 2516
% 204.81/204.82 Current number of ordered equations: 2
% 204.81/204.82 Current number of rules: 2506
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2519] ifeq2(A,A,implies(truth big_V truth,truth),B) <-> implies(truth,truth)
% 204.81/204.82 Current number of equations to process: 2515
% 204.81/204.82 Current number of ordered equations: 3
% 204.81/204.82 Current number of rules: 2507
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2520] implies(truth,truth) <-> ifeq2(A,A,implies(truth big_V truth,truth),B)
% 204.81/204.82 Current number of equations to process: 2515
% 204.81/204.82 Current number of ordered equations: 2
% 204.81/204.82 Current number of rules: 2508
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2521] ifeq2(A,A,implies(ordered(x,y),true),B) <-> implies(true,true)
% 204.81/204.82 Current number of equations to process: 2514
% 204.81/204.82 Current number of ordered equations: 3
% 204.81/204.82 Current number of rules: 2509
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2522] implies(true,true) <-> ifeq2(A,A,implies(ordered(x,y),true),B)
% 204.81/204.82 Current number of equations to process: 2514
% 204.81/204.82 Current number of ordered equations: 2
% 204.81/204.82 Current number of rules: 2510
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2523] implies(B,B) <-> ifeq2(A,A,implies(implies(truth,B),B),C)
% 204.81/204.82 Current number of equations to process: 2513
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2511
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2524] ifeq2(A,A,implies(implies(truth,B),B),C) <-> implies(B,B)
% 204.81/204.82 Current number of equations to process: 2513
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2512
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2525] ifeq2(A,A,implies(B,B),C) <-> ifeq2(X,X,truth big_V B,Y)
% 204.81/204.82 Current number of equations to process: 2511
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2513
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2526] ifeq2(X,X,truth big_V B,Y) <-> ifeq2(A,A,implies(B,B),C)
% 204.81/204.82 Current number of equations to process: 2511
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2514
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2527]
% 204.81/204.82 ifeq2(B,B,truth big_V A,C) <-> implies(truth,implies(truth,implies(A,A)))
% 204.81/204.82 Current number of equations to process: 2509
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2515
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2528]
% 204.81/204.82 implies(truth,implies(truth,implies(A,A))) <-> ifeq2(B,B,truth big_V A,C)
% 204.81/204.82 Current number of equations to process: 2509
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2516
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2529]
% 204.81/204.82 ifeq2(B,B,truth big_V A,C) <-> implies(implies(truth,truth),implies(A,A))
% 204.81/204.82 Current number of equations to process: 2508
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2517
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2530]
% 204.81/204.82 implies(implies(truth,truth),implies(A,A)) <-> ifeq2(B,B,truth big_V A,C)
% 204.81/204.82 Current number of equations to process: 2508
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2518
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2531] ifeq2(A,A,truth big_V truth,B) big_V C <-> implies(C,C)
% 204.81/204.82 Current number of equations to process: 2506
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2519
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2532] implies(C,C) <-> ifeq2(A,A,truth big_V truth,B) big_V C
% 204.81/204.82 Current number of equations to process: 2506
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2520
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2533] implies(ifeq2(A,A,truth big_V truth,B),true) <-> ordered(x,y)
% 204.81/204.82 Current number of equations to process: 2505
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2521
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2534] ordered(x,y) <-> implies(ifeq2(A,A,truth big_V truth,B),true)
% 204.81/204.82 Current number of equations to process: 2505
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2522
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2535] truth <-> implies(ifeq2(A,A,truth big_V not(truth),B),truth)
% 204.81/204.82 Current number of equations to process: 2503
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2523
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2536] implies(ifeq2(A,A,truth big_V not(truth),B),truth) <-> truth
% 204.81/204.82 Current number of equations to process: 2503
% 204.81/204.82 Current number of ordered equations: 0
% 204.81/204.82 Current number of rules: 2524
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2537] ifeq(A,A,truth,B) big_V C <-> ifeq2(X,X,truth big_V C,Y)
% 204.81/204.82 Current number of equations to process: 2502
% 204.81/204.82 Current number of ordered equations: 1
% 204.81/204.82 Current number of rules: 2525
% 204.81/204.82 New rule produced :
% 204.81/204.82 [2538] ifeq2(X,X,truth big_V C,Y) <-> ifeq(A,A,truth,B) big_V C
% 205.71/205.72 Current number of equations to process: 2502
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2526
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2539] ifeq2(A,A,implies(B,B),C) <-> ifeq2(X,X,truth,Y) big_V B
% 205.71/205.72 Current number of equations to process: 2500
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2527
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2540] ifeq2(X,X,truth,Y) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 205.71/205.72 Current number of equations to process: 2500
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2528
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2541]
% 205.71/205.72 implies(truth,implies(truth,implies(A,A))) <-> ifeq2(B,B,truth,C) big_V A
% 205.71/205.72 Current number of equations to process: 2498
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2529
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2542]
% 205.71/205.72 ifeq2(B,B,truth,C) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 205.71/205.72 Current number of equations to process: 2498
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2530
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2543]
% 205.71/205.72 implies(implies(truth,truth),implies(A,A)) <-> ifeq2(B,B,truth,C) big_V A
% 205.71/205.72 Current number of equations to process: 2497
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2531
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2544]
% 205.71/205.72 ifeq2(B,B,truth,C) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 205.71/205.72 Current number of equations to process: 2497
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2532
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2545] implies(truth,truth) big_V ifeq2(A,A,truth,B) <-> implies(truth,truth)
% 205.71/205.72 Current number of equations to process: 2496
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2533
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2546] implies(truth,truth) <-> implies(truth,truth) big_V ifeq2(A,A,truth,B)
% 205.71/205.72 Current number of equations to process: 2496
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2534
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2547] implies(C,C) <-> (truth big_V ifeq2(A,A,truth,B)) big_V C
% 205.71/205.72 Current number of equations to process: 2495
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2535
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2548] (truth big_V ifeq2(A,A,truth,B)) big_V C <-> implies(C,C)
% 205.71/205.72 Current number of equations to process: 2495
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2536
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2549] truth big_V C <-> implies(truth,ifeq2(A,A,truth,B) big_V C)
% 205.71/205.72 Current number of equations to process: 2494
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2537
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2550] implies(truth,ifeq2(A,A,truth,B) big_V C) <-> truth big_V C
% 205.71/205.72 Current number of equations to process: 2494
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2538
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2551] ordered(x,y) <-> implies(truth big_V ifeq2(A,A,truth,B),true)
% 205.71/205.72 Current number of equations to process: 2493
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2539
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2552] implies(truth big_V ifeq2(A,A,truth,B),true) <-> ordered(x,y)
% 205.71/205.72 Current number of equations to process: 2493
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2540
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2553] truth <-> implies(not(truth) big_V ifeq2(A,A,truth,B),truth)
% 205.71/205.72 Current number of equations to process: 2491
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2541
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2554] implies(not(truth) big_V ifeq2(A,A,truth,B),truth) <-> truth
% 205.71/205.72 Current number of equations to process: 2491
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2542
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2555] ifeq2(X,X,truth,Y) big_V B <-> ifeq(A,A,truth big_V B,C)
% 205.71/205.72 Current number of equations to process: 2490
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2543
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2556] ifeq(A,A,truth big_V B,C) <-> ifeq2(X,X,truth,Y) big_V B
% 205.71/205.72 Current number of equations to process: 2490
% 205.71/205.72 Current number of ordered equations: 0
% 205.71/205.72 Current number of rules: 2544
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2557] ifeq2(A,A,truth big_V B,C) <-> ifeq2(X,X,truth,Y) big_V B
% 205.71/205.72 Current number of equations to process: 2489
% 205.71/205.72 Current number of ordered equations: 1
% 205.71/205.72 Current number of rules: 2545
% 205.71/205.72 New rule produced :
% 205.71/205.72 [2558] ifeq2(X,X,truth,Y) big_V B <-> ifeq2(A,A,truth big_V B,C)
% 206.71/206.75 Current number of equations to process: 2489
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2546
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2559] ifeq2(A,A,implies(truth,truth) big_V B,C) <-> truth big_V B
% 206.71/206.75 Current number of equations to process: 2482
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2547
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2560] truth big_V B <-> ifeq2(A,A,implies(truth,truth) big_V B,C)
% 206.71/206.75 Current number of equations to process: 2482
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2548
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2561] ifeq2(A,A,ifeq(B,B,truth,C),X) <-> truth big_V truth
% 206.71/206.75 Current number of equations to process: 2481
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2549
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2562] truth big_V truth <-> ifeq2(A,A,ifeq(B,B,truth,C),X)
% 206.71/206.75 Current number of equations to process: 2481
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2550
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2563] ifeq2(A,A,ifeq2(B,B,truth,C),X) <-> truth big_V truth
% 206.71/206.75 Current number of equations to process: 2480
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2551
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2564] truth big_V truth <-> ifeq2(A,A,ifeq2(B,B,truth,C),X)
% 206.71/206.75 Current number of equations to process: 2480
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2552
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2565] truth big_V B <-> ifeq2(A,A,implies(implies(B,truth),truth),C)
% 206.71/206.75 Current number of equations to process: 2479
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2553
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2566] ifeq2(A,A,implies(implies(B,truth),truth),C) <-> truth big_V B
% 206.71/206.75 Current number of equations to process: 2479
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2554
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2567]
% 206.71/206.75 ifeq2(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth)) big_V A
% 206.71/206.75 Current number of equations to process: 2473
% 206.71/206.75 Current number of ordered equations: 3
% 206.71/206.75 Current number of rules: 2555
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2568]
% 206.71/206.75 ifeq2(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth big_V A))
% 206.71/206.75 Current number of equations to process: 2473
% 206.71/206.75 Current number of ordered equations: 2
% 206.71/206.75 Current number of rules: 2556
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2569]
% 206.71/206.75 implies(truth,implies(truth,truth)) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 206.71/206.75 Current number of equations to process: 2473
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2557
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2570]
% 206.71/206.75 implies(truth,implies(truth,truth big_V A)) <-> ifeq2(B,B,implies(A,A),C)
% 206.71/206.75 Current number of equations to process: 2473
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2558
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2571]
% 206.71/206.75 ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth big_V A)
% 206.71/206.75 Current number of equations to process: 2471
% 206.71/206.75 Current number of ordered equations: 3
% 206.71/206.75 Current number of rules: 2559
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2572]
% 206.71/206.75 ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth) big_V A
% 206.71/206.75 Current number of equations to process: 2471
% 206.71/206.75 Current number of ordered equations: 2
% 206.71/206.75 Current number of rules: 2560
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2573]
% 206.71/206.75 implies(implies(truth,truth),truth big_V A) <-> ifeq2(B,B,implies(A,A),C)
% 206.71/206.75 Current number of equations to process: 2471
% 206.71/206.75 Current number of ordered equations: 1
% 206.71/206.75 Current number of rules: 2561
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2574]
% 206.71/206.75 implies(implies(truth,truth),truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 206.71/206.75 Current number of equations to process: 2471
% 206.71/206.75 Current number of ordered equations: 0
% 206.71/206.75 Current number of rules: 2562
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2575]
% 206.71/206.75 ordered(x,implies(truth,implies(truth,y))) <->
% 206.71/206.75 implies(truth,ifeq2(A,A,true,B))
% 206.71/206.75 Current number of equations to process: 2463
% 206.71/206.75 Current number of ordered equations: 3
% 206.71/206.75 Current number of rules: 2563
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2576]
% 206.71/206.75 ordered(implies(truth,implies(truth,x)),y) <->
% 206.71/206.75 implies(truth,ifeq2(A,A,true,B))
% 206.71/206.75 Current number of equations to process: 2463
% 206.71/206.75 Current number of ordered equations: 2
% 206.71/206.75 Current number of rules: 2564
% 206.71/206.75 New rule produced :
% 206.71/206.75 [2577]
% 206.71/206.75 implies(truth,ifeq2(A,A,true,B)) <->
% 206.71/206.75 ordered(x,implies(truth,implies(truth,y)))
% 206.71/206.75 Current number of equations to process: 2463
% 206.71/206.75 Current number of ordered equations: 1
% 207.81/207.88 Current number of rules: 2565
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2578]
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B)) <->
% 207.81/207.88 ordered(implies(truth,implies(truth,x)),y)
% 207.81/207.88 Current number of equations to process: 2463
% 207.81/207.88 Current number of ordered equations: 0
% 207.81/207.88 Current number of rules: 2566
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2579]
% 207.81/207.88 ordered(x,implies(implies(truth,truth),y)) <->
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B))
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 5
% 207.81/207.88 Current number of rules: 2567
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2580]
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B)) <->
% 207.81/207.88 ordered(x,implies(implies(truth,truth),y))
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 4
% 207.81/207.88 Current number of rules: 2568
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2581]
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B)) <->
% 207.81/207.88 implies(implies(truth,truth),ordered(x,y))
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 3
% 207.81/207.88 Current number of rules: 2569
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2582]
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B)) <->
% 207.81/207.88 ordered(implies(implies(truth,truth),x),y)
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 2
% 207.81/207.88 Current number of rules: 2570
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2583]
% 207.81/207.88 implies(implies(truth,truth),ordered(x,y)) <->
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B))
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 1
% 207.81/207.88 Current number of rules: 2571
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2584]
% 207.81/207.88 ordered(implies(implies(truth,truth),x),y) <->
% 207.81/207.88 implies(truth,ifeq2(A,A,true,B))
% 207.81/207.88 Current number of equations to process: 2460
% 207.81/207.88 Current number of ordered equations: 0
% 207.81/207.88 Current number of rules: 2572
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2585] true big_V truth <-> implies(implies(truth,ifeq2(A,A,true,B)),true)
% 207.81/207.88 Current number of equations to process: 2459
% 207.81/207.88 Current number of ordered equations: 1
% 207.81/207.88 Current number of rules: 2573
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2586] implies(implies(truth,ifeq2(A,A,true,B)),true) <-> true big_V truth
% 207.81/207.88 Current number of equations to process: 2459
% 207.81/207.88 Current number of ordered equations: 0
% 207.81/207.88 Current number of rules: 2574
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2587]
% 207.81/207.88 ordered(x,implies(truth,implies(truth,y))) <->
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true)
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 5
% 207.81/207.88 Current number of rules: 2575
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2588]
% 207.81/207.88 ordered(implies(truth,implies(truth,x)),y) <->
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true)
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 4
% 207.81/207.88 Current number of rules: 2576
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2589]
% 207.81/207.88 implies(truth,implies(truth,ordered(x,y))) <->
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true)
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 3
% 207.81/207.88 Current number of rules: 2577
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2590]
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true) <->
% 207.81/207.88 ordered(x,implies(truth,implies(truth,y)))
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 2
% 207.81/207.88 Current number of rules: 2578
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2591]
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true) <->
% 207.81/207.88 ordered(implies(truth,implies(truth,x)),y)
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 1
% 207.81/207.88 Current number of rules: 2579
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2592]
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true) <->
% 207.81/207.88 implies(truth,implies(truth,ordered(x,y)))
% 207.81/207.88 Current number of equations to process: 2448
% 207.81/207.88 Current number of ordered equations: 0
% 207.81/207.88 Current number of rules: 2580
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2593]
% 207.81/207.88 ordered(x,implies(implies(truth,truth),y)) <->
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true)
% 207.81/207.88 Current number of equations to process: 2445
% 207.81/207.88 Current number of ordered equations: 5
% 207.81/207.88 Current number of rules: 2581
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2594]
% 207.81/207.88 implies(implies(truth,truth),ordered(x,y)) <->
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true)
% 207.81/207.88 Current number of equations to process: 2445
% 207.81/207.88 Current number of ordered equations: 4
% 207.81/207.88 Current number of rules: 2582
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2595]
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true) <->
% 207.81/207.88 ordered(x,implies(implies(truth,truth),y))
% 207.81/207.88 Current number of equations to process: 2445
% 207.81/207.88 Current number of ordered equations: 3
% 207.81/207.88 Current number of rules: 2583
% 207.81/207.88 New rule produced :
% 207.81/207.88 [2596]
% 207.81/207.88 implies(ifeq2(A,A,truth,B),true) <->
% 207.81/207.88 implies(implies(truth,truth),ordered(x,y))
% 207.81/207.88 Current number of equations to process: 2445
% 209.02/209.06 Current number of ordered equations: 2
% 209.02/209.06 Current number of rules: 2584
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2597]
% 209.02/209.06 implies(ifeq2(A,A,truth,B),true) <->
% 209.02/209.06 ordered(implies(implies(truth,truth),x),y)
% 209.02/209.06 Current number of equations to process: 2445
% 209.02/209.06 Current number of ordered equations: 1
% 209.02/209.06 Current number of rules: 2585
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2598]
% 209.02/209.06 ordered(implies(implies(truth,truth),x),y) <->
% 209.02/209.06 implies(ifeq2(A,A,truth,B),true)
% 209.02/209.06 Current number of equations to process: 2445
% 209.02/209.06 Current number of ordered equations: 0
% 209.02/209.06 Current number of rules: 2586
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2599] true big_V truth <-> implies(implies(ifeq2(A,A,truth,B),true),true)
% 209.02/209.06 Current number of equations to process: 2444
% 209.02/209.06 Current number of ordered equations: 1
% 209.02/209.06 Current number of rules: 2587
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2600] implies(implies(ifeq2(A,A,truth,B),true),true) <-> true big_V truth
% 209.02/209.06 Current number of equations to process: 2444
% 209.02/209.06 Current number of ordered equations: 0
% 209.02/209.06 Current number of rules: 2588
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2601]
% 209.02/209.06 ordered(x,implies(truth,implies(truth,y))) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 5
% 209.02/209.06 Current number of rules: 2589
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2602]
% 209.02/209.06 ordered(implies(truth,implies(truth,x)),y) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 4
% 209.02/209.06 Current number of rules: 2590
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2603]
% 209.02/209.06 implies(truth,implies(truth,ordered(x,y))) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 3
% 209.02/209.06 Current number of rules: 2591
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2604]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 ordered(x,implies(truth,implies(truth,y)))
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 2
% 209.02/209.06 Current number of rules: 2592
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2605]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 ordered(implies(truth,implies(truth,x)),y)
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 1
% 209.02/209.06 Current number of rules: 2593
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2606]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 implies(truth,implies(truth,ordered(x,y)))
% 209.02/209.06 Current number of equations to process: 2432
% 209.02/209.06 Current number of ordered equations: 0
% 209.02/209.06 Current number of rules: 2594
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2607]
% 209.02/209.06 ordered(x,implies(implies(truth,truth),y)) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 5
% 209.02/209.06 Current number of rules: 2595
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2608]
% 209.02/209.06 implies(implies(truth,truth),ordered(x,y)) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 4
% 209.02/209.06 Current number of rules: 2596
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2609]
% 209.02/209.06 ordered(implies(implies(truth,truth),x),y) <->
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B)
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 3
% 209.02/209.06 Current number of rules: 2597
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2610]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 ordered(x,implies(implies(truth,truth),y))
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 2
% 209.02/209.06 Current number of rules: 2598
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2611]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 implies(implies(truth,truth),ordered(x,y))
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 1
% 209.02/209.06 Current number of rules: 2599
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2612]
% 209.02/209.06 ifeq2(A,A,implies(truth,true),B) <->
% 209.02/209.06 ordered(implies(implies(truth,truth),x),y)
% 209.02/209.06 Current number of equations to process: 2429
% 209.02/209.06 Current number of ordered equations: 0
% 209.02/209.06 Current number of rules: 2600
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2613] true big_V truth <-> implies(ifeq2(A,A,implies(truth,true),B),true)
% 209.02/209.06 Current number of equations to process: 2428
% 209.02/209.06 Current number of ordered equations: 1
% 209.02/209.06 Current number of rules: 2601
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2614] implies(ifeq2(A,A,implies(truth,true),B),true) <-> true big_V truth
% 209.02/209.06 Current number of equations to process: 2428
% 209.02/209.06 Current number of ordered equations: 0
% 209.02/209.06 Current number of rules: 2602
% 209.02/209.06 New rule produced :
% 209.02/209.06 [2615] ordered(x,y) <-> implies(truth big_V truth,ifeq2(A,A,true,B))
% 210.11/210.17 Current number of equations to process: 2420
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2603
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2616] implies(truth big_V truth,ifeq2(A,A,true,B)) <-> ordered(x,y)
% 210.11/210.17 Current number of equations to process: 2420
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2604
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2617] ordered(x,y) <-> ifeq2(A,A,implies(truth big_V truth,true),B)
% 210.11/210.17 Current number of equations to process: 2409
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2605
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2618] ifeq2(A,A,implies(truth big_V truth,true),B) <-> ordered(x,y)
% 210.11/210.17 Current number of equations to process: 2409
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2606
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2619] implies(truth,implies(implies(B,C),C)) <-> ifeq(A,A,B big_V C,X)
% 210.11/210.17 Current number of equations to process: 2404
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2607
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2620] ifeq(A,A,B big_V C,X) <-> implies(truth,implies(implies(B,C),C))
% 210.11/210.17 Current number of equations to process: 2404
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2608
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2621] implies(truth,implies(implies(B,C),C)) <-> ifeq2(A,A,B big_V C,X)
% 210.11/210.17 Current number of equations to process: 2403
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2609
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2622] ifeq2(A,A,B big_V C,X) <-> implies(truth,implies(implies(B,C),C))
% 210.11/210.17 Current number of equations to process: 2403
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2610
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2623]
% 210.11/210.17 implies(truth,implies(implies(A,B),B)) <->
% 210.11/210.17 implies(implies(truth,truth),A big_V B)
% 210.11/210.17 Current number of equations to process: 2402
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2611
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2624]
% 210.11/210.17 implies(implies(truth,truth),A big_V B) <->
% 210.11/210.17 implies(truth,implies(implies(A,B),B))
% 210.11/210.17 Current number of equations to process: 2402
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2612
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2625]
% 210.11/210.17 implies(A,A) <-> implies(truth,implies(implies(implies(truth,truth),A),A))
% 210.11/210.17 Current number of equations to process: 2401
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2613
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2626]
% 210.11/210.17 implies(truth,implies(implies(implies(truth,truth),A),A)) <-> implies(A,A)
% 210.11/210.17 Current number of equations to process: 2401
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2614
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2627]
% 210.11/210.17 implies(A,A) <-> implies(truth,implies(truth,implies(implies(truth,A),A)))
% 210.11/210.17 Current number of equations to process: 2399
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2615
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2628]
% 210.11/210.17 implies(truth,implies(truth,implies(implies(truth,A),A))) <-> implies(A,A)
% 210.11/210.17 Current number of equations to process: 2399
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2616
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2629]
% 210.11/210.17 A big_V A <-> implies(implies(truth,implies(implies(A,truth),truth)),A)
% 210.11/210.17 Current number of equations to process: 2397
% 210.11/210.17 Current number of ordered equations: 3
% 210.11/210.17 Current number of rules: 2617
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2630] A big_V A <-> implies(implies(truth,implies(implies(truth,A),A)),A)
% 210.11/210.17 Current number of equations to process: 2397
% 210.11/210.17 Current number of ordered equations: 2
% 210.11/210.17 Current number of rules: 2618
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2631]
% 210.11/210.17 implies(implies(truth,implies(implies(A,truth),truth)),A) <-> A big_V A
% 210.11/210.17 Current number of equations to process: 2397
% 210.11/210.17 Current number of ordered equations: 1
% 210.11/210.17 Current number of rules: 2619
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2632] implies(implies(truth,implies(implies(truth,A),A)),A) <-> A big_V A
% 210.11/210.17 Current number of equations to process: 2397
% 210.11/210.17 Current number of ordered equations: 0
% 210.11/210.17 Current number of rules: 2620
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2633]
% 210.11/210.17 implies(truth,implies(implies(truth,B),B)) <-> ifeq(A,A,implies(B,B),C)
% 210.11/210.17 Current number of equations to process: 2395
% 210.11/210.17 Current number of ordered equations: 3
% 210.11/210.17 Current number of rules: 2621
% 210.11/210.17 New rule produced :
% 210.11/210.17 [2634]
% 210.11/210.17 implies(truth,implies(implies(B,truth),truth)) <-> ifeq(A,A,implies(B,B),C)
% 210.11/210.17 Current number of equations to process: 2395
% 211.11/211.14 Current number of ordered equations: 2
% 211.11/211.14 Current number of rules: 2622
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2635]
% 211.11/211.14 ifeq(A,A,implies(B,B),C) <-> implies(truth,implies(implies(truth,B),B))
% 211.11/211.14 Current number of equations to process: 2395
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2623
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2636]
% 211.11/211.14 ifeq(A,A,implies(B,B),C) <-> implies(truth,implies(implies(B,truth),truth))
% 211.11/211.14 Current number of equations to process: 2395
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2624
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2637]
% 211.11/211.14 ifeq2(A,A,implies(B,B),C) <-> implies(truth,implies(implies(truth,B),B))
% 211.11/211.14 Current number of equations to process: 2393
% 211.11/211.14 Current number of ordered equations: 3
% 211.11/211.14 Current number of rules: 2625
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2638]
% 211.11/211.14 ifeq2(A,A,implies(B,B),C) <-> implies(truth,implies(implies(B,truth),truth))
% 211.11/211.14 Current number of equations to process: 2393
% 211.11/211.14 Current number of ordered equations: 2
% 211.11/211.14 Current number of rules: 2626
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2639]
% 211.11/211.14 implies(truth,implies(implies(truth,B),B)) <-> ifeq2(A,A,implies(B,B),C)
% 211.11/211.14 Current number of equations to process: 2393
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2627
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2640]
% 211.11/211.14 implies(truth,implies(implies(B,truth),truth)) <-> ifeq2(A,A,implies(B,B),C)
% 211.11/211.14 Current number of equations to process: 2393
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2628
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2641] implies(implies(truth,implies(B,C)),C) <-> ifeq(A,A,B big_V C,X)
% 211.11/211.14 Current number of equations to process: 2392
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2629
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2642] ifeq(A,A,B big_V C,X) <-> implies(implies(truth,implies(B,C)),C)
% 211.11/211.14 Current number of equations to process: 2392
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2630
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2643] implies(implies(truth,implies(B,C)),C) <-> ifeq2(A,A,B big_V C,X)
% 211.11/211.14 Current number of equations to process: 2391
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2631
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2644] ifeq2(A,A,B big_V C,X) <-> implies(implies(truth,implies(B,C)),C)
% 211.11/211.14 Current number of equations to process: 2391
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2632
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2645]
% 211.11/211.14 implies(truth,implies(truth,A big_V B)) <->
% 211.11/211.14 implies(implies(truth,implies(A,B)),B)
% 211.11/211.14 Current number of equations to process: 2390
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2633
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2646]
% 211.11/211.14 implies(implies(truth,implies(A,B)),B) <->
% 211.11/211.14 implies(truth,implies(truth,A big_V B))
% 211.11/211.14 Current number of equations to process: 2390
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2634
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2647]
% 211.11/211.14 implies(implies(truth,truth),A big_V B) <->
% 211.11/211.14 implies(implies(truth,implies(A,B)),B)
% 211.11/211.14 Current number of equations to process: 2389
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2635
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2648]
% 211.11/211.14 implies(implies(truth,implies(A,B)),B) <->
% 211.11/211.14 implies(implies(truth,truth),A big_V B)
% 211.11/211.14 Current number of equations to process: 2389
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2636
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2649]
% 211.11/211.14 implies(A,A) <-> implies(truth,implies(implies(truth,implies(truth,A)),A))
% 211.11/211.14 Current number of equations to process: 2387
% 211.11/211.14 Current number of ordered equations: 3
% 211.11/211.14 Current number of rules: 2637
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2650]
% 211.11/211.14 implies(A,A) <->
% 211.11/211.14 implies(truth,implies(implies(truth,implies(A,truth)),truth))
% 211.11/211.14 Current number of equations to process: 2387
% 211.11/211.14 Current number of ordered equations: 2
% 211.11/211.14 Current number of rules: 2638
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2651]
% 211.11/211.14 implies(truth,implies(implies(truth,implies(truth,A)),A)) <-> implies(A,A)
% 211.11/211.14 Current number of equations to process: 2387
% 211.11/211.14 Current number of ordered equations: 1
% 211.11/211.14 Current number of rules: 2639
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2652]
% 211.11/211.14 implies(truth,implies(implies(truth,implies(A,truth)),truth)) <->
% 211.11/211.14 implies(A,A)
% 211.11/211.14 Current number of equations to process: 2387
% 211.11/211.14 Current number of ordered equations: 0
% 211.11/211.14 Current number of rules: 2640
% 211.11/211.14 New rule produced :
% 211.11/211.14 [2653] A big_V A <-> implies(implies(implies(truth,implies(truth,A)),A),A)
% 211.11/211.14 Current number of equations to process: 2385
% 212.12/212.10 Current number of ordered equations: 3
% 212.12/212.10 Current number of rules: 2641
% 212.12/212.10 New rule produced :
% 212.12/212.10 [2654]
% 212.12/212.10 A big_V A <-> implies(implies(implies(truth,implies(A,truth)),truth),A)
% 212.12/212.10 Current number of equations to process: 2385
% 212.12/212.10 Current number of ordered equations: 2
% 212.12/212.10 Current number of rules: 2642
% 212.12/212.10 New rule produced :
% 212.12/212.10 [2655] implies(implies(implies(truth,implies(truth,A)),A),A) <-> A big_V A
% 212.12/212.10 Current number of equations to process: 2385
% 212.12/212.10 Current number of ordered equations: 1
% 212.12/212.10 Current number of rules: 2643
% 212.12/212.10 New rule produced :
% 212.12/212.10 [2656]
% 212.12/212.10 implies(implies(implies(truth,implies(A,truth)),truth),A) <-> A big_V A
% 212.12/212.10 Current number of equations to process: 2385
% 212.12/212.10 Current number of ordered equations: 0
% 212.12/212.10 Current number of rules: 2644
% 212.12/212.10 New rule produced :
% 212.12/212.10 [2657]
% 212.12/212.10 implies(implies(truth,implies(B,truth)),truth) <-> ifeq(A,A,implies(B,B),C)
% 212.12/212.10 Current number of equations to process: 2383
% 212.12/212.10 Current number of ordered equations: 3
% 212.12/212.10 Current number of rules: 2645
% 212.12/212.10 New rule produced :
% 212.12/212.10 [2658]
% 212.12/212.10 implies(implies(truth,implies(truth,B)),B) <-> ifeq(A,A,implies(B,B),C)
% 212.12/212.11 Current number of equations to process: 2383
% 212.12/212.11 Current number of ordered equations: 2
% 212.12/212.11 Current number of rules: 2646
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2659]
% 212.12/212.11 ifeq(A,A,implies(B,B),C) <-> implies(implies(truth,implies(B,truth)),truth)
% 212.12/212.11 Current number of equations to process: 2383
% 212.12/212.11 Current number of ordered equations: 1
% 212.12/212.11 Current number of rules: 2647
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2660]
% 212.12/212.11 ifeq(A,A,implies(B,B),C) <-> implies(implies(truth,implies(truth,B)),B)
% 212.12/212.11 Current number of equations to process: 2383
% 212.12/212.11 Current number of ordered equations: 0
% 212.12/212.11 Current number of rules: 2648
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2661]
% 212.12/212.11 ifeq2(A,A,implies(B,B),C) <-> implies(implies(truth,implies(B,truth)),truth)
% 212.12/212.11 Current number of equations to process: 2381
% 212.12/212.11 Current number of ordered equations: 3
% 212.12/212.11 Current number of rules: 2649
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2662]
% 212.12/212.11 ifeq2(A,A,implies(B,B),C) <-> implies(implies(truth,implies(truth,B)),B)
% 212.12/212.11 Current number of equations to process: 2381
% 212.12/212.11 Current number of ordered equations: 2
% 212.12/212.11 Current number of rules: 2650
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2663]
% 212.12/212.11 implies(implies(truth,implies(B,truth)),truth) <-> ifeq2(A,A,implies(B,B),C)
% 212.12/212.11 Current number of equations to process: 2381
% 212.12/212.11 Current number of ordered equations: 1
% 212.12/212.11 Current number of rules: 2651
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2664]
% 212.12/212.11 implies(implies(truth,implies(truth,B)),B) <-> ifeq2(A,A,implies(B,B),C)
% 212.12/212.11 Current number of equations to process: 2381
% 212.12/212.11 Current number of ordered equations: 0
% 212.12/212.11 Current number of rules: 2652
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2665]
% 212.12/212.11 implies(truth,implies(implies(A,B),B)) <->
% 212.12/212.11 implies(implies(truth,implies(A,B)),B)
% 212.12/212.11 Current number of equations to process: 2379
% 212.12/212.11 Current number of ordered equations: 3
% 212.12/212.11 Current number of rules: 2653
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2666]
% 212.12/212.11 implies(truth,implies(implies(A,B),B)) <->
% 212.12/212.11 implies(implies(truth,implies(B,A)),A)
% 212.12/212.11 Current number of equations to process: 2379
% 212.12/212.11 Current number of ordered equations: 2
% 212.12/212.11 Current number of rules: 2654
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2667]
% 212.12/212.11 implies(implies(truth,implies(A,B)),B) <->
% 212.12/212.11 implies(truth,implies(implies(A,B),B))
% 212.12/212.11 Current number of equations to process: 2379
% 212.12/212.11 Current number of ordered equations: 1
% 212.12/212.11 Current number of rules: 2655
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2668]
% 212.12/212.11 implies(implies(truth,implies(B,A)),A) <->
% 212.12/212.11 implies(truth,implies(implies(A,B),B))
% 212.12/212.11 Current number of equations to process: 2379
% 212.12/212.11 Current number of ordered equations: 0
% 212.12/212.11 Current number of rules: 2656
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2669]
% 212.12/212.11 implies(implies(truth,implies(A,B)),B) <->
% 212.12/212.11 implies(implies(truth,implies(B,A)),A)
% 212.12/212.11 Current number of equations to process: 2378
% 212.12/212.11 Current number of ordered equations: 0
% 212.12/212.11 Current number of rules: 2657
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2670] A big_V B <-> implies(truth,implies(implies(truth,implies(A,B)),B))
% 212.12/212.11 Current number of equations to process: 2375
% 212.12/212.11 Current number of ordered equations: 1
% 212.12/212.11 Current number of rules: 2658
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2671] implies(truth,implies(implies(truth,implies(A,B)),B)) <-> A big_V B
% 212.12/212.11 Current number of equations to process: 2375
% 212.12/212.11 Current number of ordered equations: 0
% 212.12/212.11 Current number of rules: 2659
% 212.12/212.11 New rule produced :
% 212.12/212.11 [2672] A big_V B <-> implies(truth big_V truth,implies(implies(A,B),B))
% 212.12/212.11 Current number of equations to process: 2374
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2660
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2673] implies(truth big_V truth,implies(implies(A,B),B)) <-> A big_V B
% 213.03/213.02 Current number of equations to process: 2374
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2661
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2674]
% 213.03/213.02 true big_V truth <-> implies(truth,implies(ordered(x,implies(truth,y)),true))
% 213.03/213.02 Current number of equations to process: 2373
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2662
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2675]
% 213.03/213.02 implies(truth,implies(ordered(x,implies(truth,y)),true)) <-> true big_V truth
% 213.03/213.02 Current number of equations to process: 2373
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2663
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2676]
% 213.03/213.02 true big_V truth <-> implies(truth,implies(ordered(implies(truth,x),y),true))
% 213.03/213.02 Current number of equations to process: 2372
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2664
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2677]
% 213.03/213.02 implies(truth,implies(ordered(implies(truth,x),y),true)) <-> true big_V truth
% 213.03/213.02 Current number of equations to process: 2372
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2665
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2678] A big_V A <-> implies(truth,implies(implies(truth,truth) big_V A,A))
% 213.03/213.02 Current number of equations to process: 2371
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2666
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2679] implies(truth,implies(implies(truth,truth) big_V A,A)) <-> A big_V A
% 213.03/213.02 Current number of equations to process: 2371
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2667
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2680] A big_V A <-> implies(truth,implies(implies(truth,truth big_V A),A))
% 213.03/213.02 Current number of equations to process: 2370
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2668
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2681] implies(truth,implies(implies(truth,truth big_V A),A)) <-> A big_V A
% 213.03/213.02 Current number of equations to process: 2370
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2669
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2682] truth big_V B <-> implies(truth,implies(ifeq(A,A,B,C),B))
% 213.03/213.02 Current number of equations to process: 2369
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2670
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2683] implies(truth,implies(ifeq(A,A,B,C),B)) <-> truth big_V B
% 213.03/213.02 Current number of equations to process: 2369
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2671
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2684] truth big_V B <-> implies(truth,implies(ifeq2(A,A,B,C),B))
% 213.03/213.02 Current number of equations to process: 2368
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2672
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2685] implies(truth,implies(ifeq2(A,A,B,C),B)) <-> truth big_V B
% 213.03/213.02 Current number of equations to process: 2368
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2673
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2686]
% 213.03/213.02 A big_V A <-> implies(truth,implies(implies(implies(A,truth),truth),A))
% 213.03/213.02 Current number of equations to process: 2367
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2674
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2687]
% 213.03/213.02 implies(truth,implies(implies(implies(A,truth),truth),A)) <-> A big_V A
% 213.03/213.02 Current number of equations to process: 2367
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2675
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2688]
% 213.03/213.02 true big_V ifeq(A,A,truth,B) <-> implies(truth,implies(ordered(x,y),true))
% 213.03/213.02 Current number of equations to process: 2366
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2676
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2689]
% 213.03/213.02 implies(truth,implies(ordered(x,y),true)) <-> true big_V ifeq(A,A,truth,B)
% 213.03/213.02 Current number of equations to process: 2366
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2677
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2690]
% 213.03/213.02 true big_V ifeq2(A,A,truth,B) <-> implies(truth,implies(ordered(x,y),true))
% 213.03/213.02 Current number of equations to process: 2365
% 213.03/213.02 Current number of ordered equations: 1
% 213.03/213.02 Current number of rules: 2678
% 213.03/213.02 New rule produced :
% 213.03/213.02 [2691]
% 213.03/213.02 implies(truth,implies(ordered(x,y),true)) <-> true big_V ifeq2(A,A,truth,B)
% 213.03/213.02 Current number of equations to process: 2365
% 213.03/213.02 Current number of ordered equations: 0
% 213.03/213.02 Current number of rules: 2679
% 213.03/213.02 New rule produced :
% 213.81/213.85 [2692] implies(implies(truth big_V truth,implies(A,B)),B) <-> A big_V B
% 213.81/213.85 Current number of equations to process: 2361
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2680
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2693] A big_V B <-> implies(implies(truth big_V truth,implies(A,B)),B)
% 213.81/213.85 Current number of equations to process: 2361
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2681
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2694]
% 213.81/213.85 true big_V truth <-> implies(implies(truth,ordered(x,implies(truth,y))),true)
% 213.81/213.85 Current number of equations to process: 2360
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2682
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2695]
% 213.81/213.85 implies(implies(truth,ordered(x,implies(truth,y))),true) <-> true big_V truth
% 213.81/213.85 Current number of equations to process: 2360
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2683
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2696]
% 213.81/213.85 true big_V truth <-> implies(implies(truth,ordered(implies(truth,x),y)),true)
% 213.81/213.85 Current number of equations to process: 2359
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2684
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2697]
% 213.81/213.85 implies(implies(truth,ordered(implies(truth,x),y)),true) <-> true big_V truth
% 213.81/213.85 Current number of equations to process: 2359
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2685
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2698] A big_V A <-> implies(implies(truth,implies(truth,truth) big_V A),A)
% 213.81/213.85 Current number of equations to process: 2358
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2686
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2699] implies(implies(truth,implies(truth,truth) big_V A),A) <-> A big_V A
% 213.81/213.85 Current number of equations to process: 2358
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2687
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2700] truth big_V B <-> implies(implies(truth,ifeq(A,A,B,C)),B)
% 213.81/213.85 Rule
% 213.81/213.85 [2435] true big_V truth <-> implies(implies(truth,ifeq(A,A,true,B)),true)
% 213.81/213.85 collapsed.
% 213.81/213.85 Current number of equations to process: 2356
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2687
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2701] implies(implies(truth,ifeq(A,A,B,C)),B) <-> truth big_V B
% 213.81/213.85 Rule
% 213.81/213.85 [2436] implies(implies(truth,ifeq(A,A,true,B)),true) <-> true big_V truth
% 213.81/213.85 collapsed.
% 213.81/213.85 Current number of equations to process: 2356
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2687
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2702] truth big_V B <-> implies(implies(truth,ifeq2(A,A,B,C)),B)
% 213.81/213.85 Rule
% 213.81/213.85 [2585] true big_V truth <-> implies(implies(truth,ifeq2(A,A,true,B)),true)
% 213.81/213.85 collapsed.
% 213.81/213.85 Current number of equations to process: 2355
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2687
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2703] implies(implies(truth,ifeq2(A,A,B,C)),B) <-> truth big_V B
% 213.81/213.85 Rule
% 213.81/213.85 [2586] implies(implies(truth,ifeq2(A,A,true,B)),true) <-> true big_V truth
% 213.81/213.85 collapsed.
% 213.81/213.85 Current number of equations to process: 2355
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2687
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2704]
% 213.81/213.85 true big_V ifeq(A,A,truth,B) <-> implies(implies(truth,ordered(x,y)),true)
% 213.81/213.85 Current number of equations to process: 2353
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2688
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2705]
% 213.81/213.85 implies(implies(truth,ordered(x,y)),true) <-> true big_V ifeq(A,A,truth,B)
% 213.81/213.85 Current number of equations to process: 2353
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2689
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2706]
% 213.81/213.85 true big_V ifeq2(A,A,truth,B) <-> implies(implies(truth,ordered(x,y)),true)
% 213.81/213.85 Current number of equations to process: 2352
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2690
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2707]
% 213.81/213.85 implies(implies(truth,ordered(x,y)),true) <-> true big_V ifeq2(A,A,truth,B)
% 213.81/213.85 Current number of equations to process: 2352
% 213.81/213.85 Current number of ordered equations: 0
% 213.81/213.85 Current number of rules: 2691
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2708]
% 213.81/213.85 implies(truth,implies(A big_V B,B)) <-> implies(truth,implies(A,B)) big_V B
% 213.81/213.85 Current number of equations to process: 2351
% 213.81/213.85 Current number of ordered equations: 1
% 213.81/213.85 Current number of rules: 2692
% 213.81/213.85 New rule produced :
% 213.81/213.85 [2709]
% 213.81/213.85 implies(truth,implies(A,B)) big_V B <-> implies(truth,implies(A big_V B,B))
% 213.81/213.85 Current number of equations to process: 2351
% 213.81/213.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2693
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2710]
% 214.83/214.85 implies(truth,implies(A,B)) big_V B <-> implies(implies(truth,A big_V B),B)
% 214.83/214.85 Current number of equations to process: 2350
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2694
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2711]
% 214.83/214.85 implies(implies(truth,A big_V B),B) <-> implies(truth,implies(A,B)) big_V B
% 214.83/214.85 Current number of equations to process: 2350
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2695
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2712] not(implies(truth,not(A) big_V not(B))) <-> implies(truth,A big_hat B)
% 214.83/214.85 Current number of equations to process: 2348
% 214.83/214.85 Current number of ordered equations: 3
% 214.83/214.85 Current number of rules: 2696
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2713] not(not(A) big_V implies(truth,not(B))) <-> implies(truth,A big_hat B)
% 214.83/214.85 Current number of equations to process: 2348
% 214.83/214.85 Current number of ordered equations: 2
% 214.83/214.85 Current number of rules: 2697
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2714] implies(truth,A big_hat B) <-> not(implies(truth,not(A) big_V not(B)))
% 214.83/214.85 Current number of equations to process: 2348
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2698
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2715] implies(truth,A big_hat B) <-> not(not(A) big_V implies(truth,not(B)))
% 214.83/214.85 Current number of equations to process: 2348
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2699
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2716] not(implies(truth big_V not(A),not(A))) <-> implies(truth,A big_hat A)
% 214.83/214.85 Current number of equations to process: 2347
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2700
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2717] implies(truth,A big_hat A) <-> not(implies(truth big_V not(A),not(A)))
% 214.83/214.85 Current number of equations to process: 2347
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2701
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2718] B <-> implies(implies(truth big_V not(A),implies(A,A)),B)
% 214.83/214.85 Current number of equations to process: 2346
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2702
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2719] implies(implies(truth big_V not(A),implies(A,A)),B) <-> B
% 214.83/214.85 Current number of equations to process: 2346
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2703
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2720] ifeq(A,A,truth,B) <-> implies(truth big_V not(C),implies(C,C))
% 214.83/214.85 Current number of equations to process: 2345
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2704
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2721] implies(truth big_V not(C),implies(C,C)) <-> ifeq(A,A,truth,B)
% 214.83/214.85 Current number of equations to process: 2345
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2705
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2722] ifeq2(A,A,truth,B) <-> implies(truth big_V not(C),implies(C,C))
% 214.83/214.85 Current number of equations to process: 2344
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2706
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2723] implies(truth big_V not(C),implies(C,C)) <-> ifeq2(A,A,truth,B)
% 214.83/214.85 Current number of equations to process: 2344
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2707
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2724] truth <-> truth big_V implies(truth big_V not(A),implies(A,A))
% 214.83/214.85 Current number of equations to process: 2343
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2708
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2725] truth big_V implies(truth big_V not(A),implies(A,A)) <-> truth
% 214.83/214.85 Current number of equations to process: 2343
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2709
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2726]
% 214.83/214.85 implies(truth,implies(truth,truth)) <->
% 214.83/214.85 implies(truth big_V not(A),implies(A,A))
% 214.83/214.85 Current number of equations to process: 2342
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2710
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2727]
% 214.83/214.85 implies(truth big_V not(A),implies(A,A)) <->
% 214.83/214.85 implies(truth,implies(truth,truth))
% 214.83/214.85 Current number of equations to process: 2342
% 214.83/214.85 Current number of ordered equations: 0
% 214.83/214.85 Current number of rules: 2711
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2728]
% 214.83/214.85 implies(implies(truth,truth),truth) <->
% 214.83/214.85 implies(truth big_V not(A),implies(A,A))
% 214.83/214.85 Current number of equations to process: 2341
% 214.83/214.85 Current number of ordered equations: 1
% 214.83/214.85 Current number of rules: 2712
% 214.83/214.85 New rule produced :
% 214.83/214.85 [2729]
% 214.83/214.85 implies(truth big_V not(A),implies(A,A)) <->
% 216.12/216.12 implies(implies(truth,truth),truth)
% 216.12/216.12 Current number of equations to process: 2341
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2713
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2730] truth <-> implies(truth,implies(truth big_V not(A),implies(A,A)))
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 5
% 216.12/216.12 Current number of rules: 2714
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2731] truth <-> implies(truth big_V not(A),implies(truth,implies(A,A)))
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 4
% 216.12/216.12 Current number of rules: 2715
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2732] truth <-> implies(truth big_V implies(truth,not(A)),implies(A,A))
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 3
% 216.12/216.12 Current number of rules: 2716
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2733] implies(truth,implies(truth big_V not(A),implies(A,A))) <-> truth
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 2
% 216.12/216.12 Current number of rules: 2717
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2734] implies(truth big_V not(A),implies(truth,implies(A,A))) <-> truth
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2718
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2735] implies(truth big_V implies(truth,not(A)),implies(A,A)) <-> truth
% 216.12/216.12 Current number of equations to process: 2336
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2719
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2736]
% 216.12/216.12 implies(truth,implies(A,A)) <-> (truth big_V not(A)) big_V implies(A,A)
% 216.12/216.12 Current number of equations to process: 2334
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2720
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2737]
% 216.12/216.12 (truth big_V not(A)) big_V implies(A,A) <-> implies(truth,implies(A,A))
% 216.12/216.12 Current number of equations to process: 2334
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2721
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2738] truth <-> implies((truth big_V truth) big_V not(A),implies(A,A))
% 216.12/216.12 Current number of equations to process: 2333
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2722
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2739] implies((truth big_V truth) big_V not(A),implies(A,A)) <-> truth
% 216.12/216.12 Current number of equations to process: 2333
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2723
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2740]
% 216.12/216.12 truth <-> implies(truth big_V not(implies(truth,truth)),implies(truth,truth))
% 216.12/216.12 Current number of equations to process: 2332
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2724
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2741]
% 216.12/216.12 implies(truth big_V not(implies(truth,truth)),implies(truth,truth)) <-> truth
% 216.12/216.12 Current number of equations to process: 2332
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2725
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2742] truth <-> implies(truth big_V not(A),implies(truth,truth) big_V A)
% 216.12/216.12 Current number of equations to process: 2331
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2726
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2743] implies(truth big_V not(A),implies(truth,truth) big_V A) <-> truth
% 216.12/216.12 Current number of equations to process: 2331
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2727
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2744] truth <-> implies(truth big_V not(A),implies(truth,truth big_V A))
% 216.12/216.12 Current number of equations to process: 2330
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2728
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2745] implies(truth big_V not(A),implies(truth,truth big_V A)) <-> truth
% 216.12/216.12 Current number of equations to process: 2330
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2729
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2746] truth <-> implies(truth big_V not(truth),ifeq(A,A,truth,B))
% 216.12/216.12 Current number of equations to process: 2329
% 216.12/216.12 Current number of ordered equations: 1
% 216.12/216.12 Current number of rules: 2730
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2747] implies(truth big_V not(truth),ifeq(A,A,truth,B)) <-> truth
% 216.12/216.12 Current number of equations to process: 2329
% 216.12/216.12 Current number of ordered equations: 0
% 216.12/216.12 Current number of rules: 2731
% 216.12/216.12 New rule produced :
% 216.12/216.12 [2748] truth <-> implies(truth big_V not(truth),ifeq2(A,A,truth,B))
% 216.12/216.12 Current number of equations to process: 2328
% 216.12/216.12 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2732
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2749] implies(truth big_V not(truth),ifeq2(A,A,truth,B)) <-> truth
% 217.23/217.24 Current number of equations to process: 2328
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2733
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2750] truth <-> implies(truth big_V not(A),implies(implies(A,truth),truth))
% 217.23/217.24 Current number of equations to process: 2327
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2734
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2751] implies(truth big_V not(A),implies(implies(A,truth),truth)) <-> truth
% 217.23/217.24 Current number of equations to process: 2327
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2735
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2752]
% 217.23/217.24 implies(ordered(x,implies(truth,y)),true) <-> ifeq(A,A,true big_V truth,B)
% 217.23/217.24 Current number of equations to process: 2309
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2736
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2753]
% 217.23/217.24 ifeq(A,A,true big_V truth,B) <-> implies(ordered(x,implies(truth,y)),true)
% 217.23/217.24 Current number of equations to process: 2309
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2737
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2754]
% 217.23/217.24 implies(ordered(implies(truth,x),y),true) <-> ifeq(A,A,true big_V truth,B)
% 217.23/217.24 Current number of equations to process: 2308
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2738
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2755]
% 217.23/217.24 ifeq(A,A,true big_V truth,B) <-> implies(ordered(implies(truth,x),y),true)
% 217.23/217.24 Current number of equations to process: 2308
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2739
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2756] ifeq(B,B,A big_V A,C) <-> implies(implies(truth,truth) big_V A,A)
% 217.23/217.24 Current number of equations to process: 2307
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2740
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2757] implies(implies(truth,truth) big_V A,A) <-> ifeq(B,B,A big_V A,C)
% 217.23/217.24 Current number of equations to process: 2307
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2741
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2758] ifeq(B,B,A big_V A,C) <-> implies(implies(truth,truth big_V A),A)
% 217.23/217.24 Current number of equations to process: 2306
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2742
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2759] implies(implies(truth,truth big_V A),A) <-> ifeq(B,B,A big_V A,C)
% 217.23/217.24 Current number of equations to process: 2306
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2743
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2760] implies(ifeq(A,A,B,C),B) <-> ifeq(X,X,truth big_V B,Y)
% 217.23/217.24 Current number of equations to process: 2305
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2744
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2761] ifeq(X,X,truth big_V B,Y) <-> implies(ifeq(A,A,B,C),B)
% 217.23/217.24 Current number of equations to process: 2305
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2745
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2762] implies(ifeq2(A,A,B,C),B) <-> ifeq(X,X,truth big_V B,Y)
% 217.23/217.24 Current number of equations to process: 2304
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2746
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2763] ifeq(X,X,truth big_V B,Y) <-> implies(ifeq2(A,A,B,C),B)
% 217.23/217.24 Current number of equations to process: 2304
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2747
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2764] ifeq(B,B,A big_V A,C) <-> implies(implies(implies(A,truth),truth),A)
% 217.23/217.24 Current number of equations to process: 2303
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2748
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2765] implies(implies(implies(A,truth),truth),A) <-> ifeq(B,B,A big_V A,C)
% 217.23/217.24 Current number of equations to process: 2303
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2749
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2766] truth <-> ifeq(A,A,not(truth) big_V not(not(truth)),B)
% 217.23/217.24 Current number of equations to process: 2302
% 217.23/217.24 Current number of ordered equations: 1
% 217.23/217.24 Current number of rules: 2750
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2767] ifeq(A,A,not(truth) big_V not(not(truth)),B) <-> truth
% 217.23/217.24 Current number of equations to process: 2302
% 217.23/217.24 Current number of ordered equations: 0
% 217.23/217.24 Current number of rules: 2751
% 217.23/217.24 New rule produced :
% 217.23/217.24 [2768]
% 217.23/217.24 implies(implies(implies(truth,truth),B),B) <-> ifeq(A,A,implies(B,B),C)
% 217.23/217.24 Current number of equations to process: 2301
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2752
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2769]
% 218.22/218.25 ifeq(A,A,implies(B,B),C) <-> implies(implies(implies(truth,truth),B),B)
% 218.22/218.25 Current number of equations to process: 2301
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2753
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2770]
% 218.22/218.25 ifeq2(A,A,true big_V truth,B) <-> implies(ordered(x,implies(truth,y)),true)
% 218.22/218.25 Current number of equations to process: 2297
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2754
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2771]
% 218.22/218.25 implies(ordered(x,implies(truth,y)),true) <-> ifeq2(A,A,true big_V truth,B)
% 218.22/218.25 Current number of equations to process: 2297
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2755
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2772]
% 218.22/218.25 ifeq2(A,A,true big_V truth,B) <-> implies(ordered(implies(truth,x),y),true)
% 218.22/218.25 Current number of equations to process: 2296
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2756
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2773]
% 218.22/218.25 implies(ordered(implies(truth,x),y),true) <-> ifeq2(A,A,true big_V truth,B)
% 218.22/218.25 Current number of equations to process: 2296
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2757
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2774] ifeq2(B,B,A big_V A,C) <-> implies(implies(truth,truth) big_V A,A)
% 218.22/218.25 Current number of equations to process: 2295
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2758
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2775] implies(implies(truth,truth) big_V A,A) <-> ifeq2(B,B,A big_V A,C)
% 218.22/218.25 Current number of equations to process: 2295
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2759
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2776] implies(implies(truth,truth big_V A),A) <-> ifeq2(B,B,A big_V A,C)
% 218.22/218.25 Current number of equations to process: 2294
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2760
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2777] ifeq2(B,B,A big_V A,C) <-> implies(implies(truth,truth big_V A),A)
% 218.22/218.25 Current number of equations to process: 2294
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2761
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2778] implies(ifeq(A,A,B,C),B) <-> ifeq2(X,X,truth big_V B,Y)
% 218.22/218.25 Current number of equations to process: 2293
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2762
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2779] ifeq2(X,X,truth big_V B,Y) <-> implies(ifeq(A,A,B,C),B)
% 218.22/218.25 Current number of equations to process: 2293
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2763
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2780] implies(ifeq2(A,A,B,C),B) <-> ifeq2(X,X,truth big_V B,Y)
% 218.22/218.25 Current number of equations to process: 2292
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2764
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2781] ifeq2(X,X,truth big_V B,Y) <-> implies(ifeq2(A,A,B,C),B)
% 218.22/218.25 Current number of equations to process: 2292
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2765
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2782] ifeq2(B,B,A big_V A,C) <-> implies(implies(implies(A,truth),truth),A)
% 218.22/218.25 Current number of equations to process: 2291
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2766
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2783] implies(implies(implies(A,truth),truth),A) <-> ifeq2(B,B,A big_V A,C)
% 218.22/218.25 Current number of equations to process: 2291
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2767
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2784] truth <-> ifeq2(A,A,not(truth) big_V not(not(truth)),B)
% 218.22/218.25 Current number of equations to process: 2290
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2768
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2785] ifeq2(A,A,not(truth) big_V not(not(truth)),B) <-> truth
% 218.22/218.25 Current number of equations to process: 2290
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2769
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2786]
% 218.22/218.25 ifeq2(A,A,implies(B,B),C) <-> implies(implies(implies(truth,truth),B),B)
% 218.22/218.25 Current number of equations to process: 2289
% 218.22/218.25 Current number of ordered equations: 1
% 218.22/218.25 Current number of rules: 2770
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2787]
% 218.22/218.25 implies(implies(implies(truth,truth),B),B) <-> ifeq2(A,A,implies(B,B),C)
% 218.22/218.25 Current number of equations to process: 2289
% 218.22/218.25 Current number of ordered equations: 0
% 218.22/218.25 Current number of rules: 2771
% 218.22/218.25 New rule produced :
% 218.22/218.25 [2788]
% 218.22/218.25 implies(truth,implies(true,ordered(x,y))) <->
% 218.22/218.25 implies(implies(ordered(x,y),truth),truth)
% 219.13/219.19 Current number of equations to process: 2286
% 219.13/219.19 Current number of ordered equations: 1
% 219.13/219.19 Current number of rules: 2772
% 219.13/219.19 New rule produced :
% 219.13/219.19 [2789]
% 219.13/219.19 implies(implies(ordered(x,y),truth),truth) <->
% 219.13/219.19 implies(truth,implies(true,ordered(x,y)))
% 219.13/219.19 Current number of equations to process: 2286
% 219.13/219.19 Current number of ordered equations: 0
% 219.13/219.19 Current number of rules: 2773
% 219.13/219.19 New rule produced :
% 219.13/219.19 [2790]
% 219.13/219.19 implies(implies(implies(truth,A),truth),truth) <->
% 219.13/219.19 implies(truth,implies(A,implies(truth,A)))
% 219.13/219.19 Current number of equations to process: 2285
% 219.13/219.19 Current number of ordered equations: 1
% 219.13/219.19 Current number of rules: 2774
% 219.13/219.19 New rule produced :
% 219.13/219.19 [2791]
% 219.13/219.19 implies(truth,implies(A,implies(truth,A))) <->
% 219.13/219.19 implies(implies(implies(truth,A),truth),truth)
% 219.13/219.19 Current number of equations to process: 2285
% 219.13/219.19 Current number of ordered equations: 0
% 219.13/219.19 Current number of rules: 2775
% 219.13/219.19 New rule produced :
% 219.13/219.19 [2792]
% 219.13/219.19 implies(truth,implies(implies(true,truth),truth)) <->
% 219.13/219.19 implies(ordered(x,implies(truth,y)),true)
% 219.13/219.19 Current number of equations to process: 2283
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2776
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2793]
% 219.22/219.19 implies(ordered(x,implies(truth,y)),true) <->
% 219.22/219.19 implies(truth,implies(implies(true,truth),truth))
% 219.22/219.19 Current number of equations to process: 2283
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2777
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2794]
% 219.22/219.19 implies(truth,implies(implies(true,truth),truth)) <->
% 219.22/219.19 implies(ordered(implies(truth,x),y),true)
% 219.22/219.19 Current number of equations to process: 2282
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2778
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2795]
% 219.22/219.19 implies(ordered(implies(truth,x),y),true) <->
% 219.22/219.19 implies(truth,implies(implies(true,truth),truth))
% 219.22/219.19 Current number of equations to process: 2282
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2779
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2796]
% 219.22/219.19 implies(truth,implies(implies(A,A),A)) <->
% 219.22/219.19 implies(implies(truth,truth) big_V A,A)
% 219.22/219.19 Current number of equations to process: 2281
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2780
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2797]
% 219.22/219.19 implies(implies(truth,truth) big_V A,A) <->
% 219.22/219.19 implies(truth,implies(implies(A,A),A))
% 219.22/219.19 Current number of equations to process: 2281
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2781
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2798]
% 219.22/219.19 implies(truth,implies(implies(A,A),A)) <->
% 219.22/219.19 implies(implies(truth,truth big_V A),A)
% 219.22/219.19 Current number of equations to process: 2280
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2782
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2799]
% 219.22/219.19 implies(implies(truth,truth big_V A),A) <->
% 219.22/219.19 implies(truth,implies(implies(A,A),A))
% 219.22/219.19 Current number of equations to process: 2280
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2783
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2800]
% 219.22/219.19 implies(ifeq(A,A,B,C),B) <-> implies(truth,implies(implies(B,truth),truth))
% 219.22/219.19 Current number of equations to process: 2279
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2784
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2801]
% 219.22/219.19 implies(truth,implies(implies(B,truth),truth)) <-> implies(ifeq(A,A,B,C),B)
% 219.22/219.19 Current number of equations to process: 2279
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2785
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2802]
% 219.22/219.19 implies(ifeq2(A,A,B,C),B) <-> implies(truth,implies(implies(B,truth),truth))
% 219.22/219.19 Current number of equations to process: 2278
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2786
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2803]
% 219.22/219.19 implies(truth,implies(implies(B,truth),truth)) <-> implies(ifeq2(A,A,B,C),B)
% 219.22/219.19 Current number of equations to process: 2278
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2787
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2804]
% 219.22/219.19 implies(truth,implies(implies(A,A),A)) <->
% 219.22/219.19 implies(implies(implies(A,truth),truth),A)
% 219.22/219.19 Current number of equations to process: 2277
% 219.22/219.19 Current number of ordered equations: 1
% 219.22/219.19 Current number of rules: 2788
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2805]
% 219.22/219.19 implies(implies(implies(A,truth),truth),A) <->
% 219.22/219.19 implies(truth,implies(implies(A,A),A))
% 219.22/219.19 Current number of equations to process: 2277
% 219.22/219.19 Current number of ordered equations: 0
% 219.22/219.19 Current number of rules: 2789
% 219.22/219.19 New rule produced :
% 219.22/219.19 [2806]
% 219.22/219.19 implies(ordered(x,implies(truth,y)),true) <->
% 220.11/220.12 implies(implies(truth,implies(true,truth)),truth)
% 220.11/220.12 Current number of equations to process: 2271
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2790
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2807]
% 220.11/220.12 implies(implies(truth,implies(true,truth)),truth) <->
% 220.11/220.12 implies(ordered(x,implies(truth,y)),true)
% 220.11/220.12 Current number of equations to process: 2271
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2791
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2808]
% 220.11/220.12 implies(ordered(implies(truth,x),y),true) <->
% 220.11/220.12 implies(implies(truth,implies(true,truth)),truth)
% 220.11/220.12 Current number of equations to process: 2270
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2792
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2809]
% 220.11/220.12 implies(implies(truth,implies(true,truth)),truth) <->
% 220.11/220.12 implies(ordered(implies(truth,x),y),true)
% 220.11/220.12 Current number of equations to process: 2270
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2793
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2810]
% 220.11/220.12 implies(ifeq(A,A,B,C),B) <-> implies(implies(truth,implies(B,truth)),truth)
% 220.11/220.12 Current number of equations to process: 2269
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2794
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2811]
% 220.11/220.12 implies(implies(truth,implies(B,truth)),truth) <-> implies(ifeq(A,A,B,C),B)
% 220.11/220.12 Current number of equations to process: 2269
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2795
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2812]
% 220.11/220.12 implies(ifeq2(A,A,B,C),B) <-> implies(implies(truth,implies(B,truth)),truth)
% 220.11/220.12 Current number of equations to process: 2268
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2796
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2813]
% 220.11/220.12 implies(implies(truth,implies(B,truth)),truth) <-> implies(ifeq2(A,A,B,C),B)
% 220.11/220.12 Current number of equations to process: 2268
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2797
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2814]
% 220.11/220.12 implies(truth,implies(B,A)) big_V A <-> implies(implies(implies(A,B),B),A)
% 220.11/220.12 Current number of equations to process: 2263
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2798
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2815]
% 220.11/220.12 implies(implies(implies(A,B),B),A) <-> implies(truth,implies(B,A)) big_V A
% 220.11/220.12 Current number of equations to process: 2263
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2799
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2816]
% 220.11/220.12 implies(implies(truth,true),ordered(x,y)) <->
% 220.11/220.12 implies(implies(ordered(x,y),truth),truth)
% 220.11/220.12 Current number of equations to process: 2262
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2800
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2817]
% 220.11/220.12 implies(implies(ordered(x,y),truth),truth) <->
% 220.11/220.12 implies(implies(truth,true),ordered(x,y))
% 220.11/220.12 Current number of equations to process: 2262
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2801
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2818]
% 220.11/220.12 true big_V ordered(x,implies(truth,y)) <->
% 220.11/220.12 implies(implies(implies(true,truth),truth),true)
% 220.11/220.12 Current number of equations to process: 2257
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2802
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2819]
% 220.11/220.12 implies(implies(implies(true,truth),truth),true) <->
% 220.11/220.12 true big_V ordered(x,implies(truth,y))
% 220.11/220.12 Current number of equations to process: 2257
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2803
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2820]
% 220.11/220.12 true big_V ordered(implies(truth,x),y) <->
% 220.11/220.12 implies(implies(implies(true,truth),truth),true)
% 220.11/220.12 Current number of equations to process: 2256
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2804
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2821]
% 220.11/220.12 implies(implies(implies(true,truth),truth),true) <->
% 220.11/220.12 true big_V ordered(implies(truth,x),y)
% 220.11/220.12 Current number of equations to process: 2256
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2805
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2822]
% 220.11/220.12 (implies(truth,truth) big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 220.11/220.12 Current number of equations to process: 2255
% 220.11/220.12 Current number of ordered equations: 1
% 220.11/220.12 Current number of rules: 2806
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2823]
% 220.11/220.12 implies(implies(implies(A,A),A),A) <-> (implies(truth,truth) big_V A) big_V A
% 220.11/220.12 Current number of equations to process: 2255
% 220.11/220.12 Current number of ordered equations: 0
% 220.11/220.12 Current number of rules: 2807
% 220.11/220.12 New rule produced :
% 220.11/220.12 [2824]
% 220.11/220.12 implies(truth,truth big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 221.02/221.04 Current number of equations to process: 2254
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2808
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2825]
% 221.02/221.04 implies(implies(implies(A,A),A),A) <-> implies(truth,truth big_V A) big_V A
% 221.02/221.04 Current number of equations to process: 2254
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2809
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2826] ifeq(A,A,B,C) big_V B <-> implies(implies(implies(B,truth),truth),B)
% 221.02/221.04 Current number of equations to process: 2253
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2810
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2827] implies(implies(implies(B,truth),truth),B) <-> ifeq(A,A,B,C) big_V B
% 221.02/221.04 Current number of equations to process: 2253
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2811
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2828] ifeq2(A,A,B,C) big_V B <-> implies(implies(implies(B,truth),truth),B)
% 221.02/221.04 Current number of equations to process: 2252
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2812
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2829] implies(implies(implies(B,truth),truth),B) <-> ifeq2(A,A,B,C) big_V B
% 221.02/221.04 Current number of equations to process: 2252
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2813
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2830]
% 221.02/221.04 implies(implies(A,truth),truth) big_V A <->
% 221.02/221.04 implies(implies(implies(A,A),A),A)
% 221.02/221.04 Current number of equations to process: 2251
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2814
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2831]
% 221.02/221.04 implies(implies(implies(A,A),A),A) <->
% 221.02/221.04 implies(implies(A,truth),truth) big_V A
% 221.02/221.04 Current number of equations to process: 2251
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2815
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2832]
% 221.02/221.04 truth big_V implies(ordered(x,y),truth) <->
% 221.02/221.04 implies(implies(true,ordered(x,y)),truth)
% 221.02/221.04 Current number of equations to process: 2249
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2816
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2833]
% 221.02/221.04 implies(implies(true,ordered(x,y)),truth) <->
% 221.02/221.04 truth big_V implies(ordered(x,y),truth)
% 221.02/221.04 Current number of equations to process: 2249
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2817
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2834]
% 221.02/221.04 implies(implies(A,implies(truth,A)),truth) <->
% 221.02/221.04 truth big_V implies(implies(truth,A),truth)
% 221.02/221.04 Current number of equations to process: 2248
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2818
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2835]
% 221.02/221.04 truth big_V implies(implies(truth,A),truth) <->
% 221.02/221.04 implies(implies(A,implies(truth,A)),truth)
% 221.02/221.04 Current number of equations to process: 2248
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2819
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2836]
% 221.02/221.04 ifeq(implies(truth,true),true,implies(x,y),truth) <-> implies(truth,truth)
% 221.02/221.04 Current number of equations to process: 2246
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2820
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2837]
% 221.02/221.04 implies(truth,truth) <-> ifeq(implies(truth,true),true,implies(x,y),truth)
% 221.02/221.04 Current number of equations to process: 2246
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2821
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2838]
% 221.02/221.04 ifeq(implies(truth,true),true,implies(x,y),truth) <-> truth big_V truth
% 221.02/221.04 Current number of equations to process: 2245
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2822
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2839]
% 221.02/221.04 truth big_V truth <-> ifeq(implies(truth,true),true,implies(x,y),truth)
% 221.02/221.04 Current number of equations to process: 2245
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2823
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2840] implies(truth,truth) <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 221.02/221.04 Current number of equations to process: 2244
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2824
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2841] ifeq(ordered(A,A),true,truth big_V A,truth) <-> implies(truth,truth)
% 221.02/221.04 Current number of equations to process: 2244
% 221.02/221.04 Current number of ordered equations: 0
% 221.02/221.04 Current number of rules: 2825
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2842] truth big_V truth <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 221.02/221.04 Current number of equations to process: 2243
% 221.02/221.04 Current number of ordered equations: 1
% 221.02/221.04 Current number of rules: 2826
% 221.02/221.04 New rule produced :
% 221.02/221.04 [2843] ifeq(ordered(A,A),true,truth big_V A,truth) <-> truth big_V truth
% 222.03/222.10 Current number of equations to process: 2243
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2827
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2844]
% 222.03/222.10 implies(truth,truth) <-> ifeq(ordered(truth,true),true,ordered(x,y),truth)
% 222.03/222.10 Current number of equations to process: 2242
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2828
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2845]
% 222.03/222.10 ifeq(ordered(truth,true),true,ordered(x,y),truth) <-> implies(truth,truth)
% 222.03/222.10 Current number of equations to process: 2242
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2829
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2846]
% 222.03/222.10 truth big_V truth <-> ifeq(ordered(truth,true),true,ordered(x,y),truth)
% 222.03/222.10 Current number of equations to process: 2241
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2830
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2847]
% 222.03/222.10 ifeq(ordered(truth,true),true,ordered(x,y),truth) <-> truth big_V truth
% 222.03/222.10 Current number of equations to process: 2241
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2831
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2848] implies(truth,truth) <-> implies(implies(not(A),not(A)),truth big_V A)
% 222.03/222.10 Current number of equations to process: 2240
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2832
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2849] implies(implies(not(A),not(A)),truth big_V A) <-> implies(truth,truth)
% 222.03/222.10 Current number of equations to process: 2240
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2833
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2850] truth big_V truth <-> implies(implies(not(A),not(A)),truth big_V A)
% 222.03/222.10 Current number of equations to process: 2239
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2834
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2851] implies(implies(not(A),not(A)),truth big_V A) <-> truth big_V truth
% 222.03/222.10 Current number of equations to process: 2239
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2835
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2852] truth <-> implies(not(A) big_V implies(truth,truth),truth big_V A)
% 222.03/222.10 Current number of equations to process: 2238
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2836
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2853] implies(not(A) big_V implies(truth,truth),truth big_V A) <-> truth
% 222.03/222.10 Current number of equations to process: 2238
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2837
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2854] truth <-> implies(implies(truth,truth big_V not(A)),truth big_V A)
% 222.03/222.10 Current number of equations to process: 2237
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2838
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2855] implies(implies(truth,truth big_V not(A)),truth big_V A) <-> truth
% 222.03/222.10 Current number of equations to process: 2237
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2839
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2856] truth <-> implies(implies(implies(not(A),truth),truth),truth big_V A)
% 222.03/222.10 Current number of equations to process: 2236
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2840
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2857] implies(implies(implies(not(A),truth),truth),truth big_V A) <-> truth
% 222.03/222.10 Current number of equations to process: 2236
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2841
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2858]
% 222.03/222.10 implies(truth,truth) <-> implies(implies(not(true),not(truth)),ordered(x,y))
% 222.03/222.10 Current number of equations to process: 2235
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2842
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2859]
% 222.03/222.10 implies(implies(not(true),not(truth)),ordered(x,y)) <-> implies(truth,truth)
% 222.03/222.10 Current number of equations to process: 2235
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2843
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2860]
% 222.03/222.10 truth big_V truth <-> implies(implies(not(true),not(truth)),ordered(x,y))
% 222.03/222.10 Current number of equations to process: 2234
% 222.03/222.10 Current number of ordered equations: 1
% 222.03/222.10 Current number of rules: 2844
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2861]
% 222.03/222.10 implies(implies(not(true),not(truth)),ordered(x,y)) <-> truth big_V truth
% 222.03/222.10 Current number of equations to process: 2234
% 222.03/222.10 Current number of ordered equations: 0
% 222.03/222.10 Current number of rules: 2845
% 222.03/222.10 New rule produced :
% 222.03/222.10 [2862]
% 222.03/222.10 implies(truth,true) <-> ifeq2(implies(x,y),truth,implies(truth,true),true)
% 222.03/222.10 Current number of equations to process: 2233
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2846
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2863]
% 235.53/235.59 ifeq2(implies(x,y),truth,implies(truth,true),true) <-> implies(truth,true)
% 235.53/235.59 Current number of equations to process: 2233
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2847
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2864] ordered(x,y) <-> ifeq2(implies(x,y),truth,implies(truth,true),true)
% 235.53/235.59 Current number of equations to process: 2232
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2848
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2865] ifeq2(implies(x,y),truth,implies(truth,true),true) <-> ordered(x,y)
% 235.53/235.59 Current number of equations to process: 2232
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2849
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2866] implies(truth,true) <-> ifeq2(truth big_V A,truth,ordered(A,A),true)
% 235.53/235.59 Current number of equations to process: 2231
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2850
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2867] ifeq2(truth big_V A,truth,ordered(A,A),true) <-> implies(truth,true)
% 235.53/235.59 Current number of equations to process: 2231
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2851
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2868] ordered(x,y) <-> ifeq2(truth big_V A,truth,ordered(A,A),true)
% 235.53/235.59 Current number of equations to process: 2230
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2852
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2869] ifeq2(truth big_V A,truth,ordered(A,A),true) <-> ordered(x,y)
% 235.53/235.59 Current number of equations to process: 2230
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2853
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2870]
% 235.53/235.59 implies(truth,true) <-> ifeq2(ordered(x,y),truth,ordered(truth,true),true)
% 235.53/235.59 Current number of equations to process: 2229
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2854
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2871]
% 235.53/235.59 ifeq2(ordered(x,y),truth,ordered(truth,true),true) <-> implies(truth,true)
% 235.53/235.59 Current number of equations to process: 2229
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2855
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2872] ordered(x,y) <-> ifeq2(ordered(x,y),truth,ordered(truth,true),true)
% 235.53/235.59 Current number of equations to process: 2228
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2856
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2873] ifeq2(ordered(x,y),truth,ordered(truth,true),true) <-> ordered(x,y)
% 235.53/235.59 Current number of equations to process: 2228
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2857
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2874] implies(truth,truth) big_V B <-> implies(ifeq(A,A,B,C),B)
% 235.53/235.59 Current number of equations to process: 2644
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2858
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2875] implies(ifeq(A,A,B,C),B) <-> implies(truth,truth) big_V B
% 235.53/235.59 Current number of equations to process: 2644
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2859
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2876] implies(ifeq(A,A,B,C),B) <-> ifeq(X,X,truth,Y) big_V B
% 235.53/235.59 Current number of equations to process: 2684
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2860
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2877] ifeq(X,X,truth,Y) big_V B <-> implies(ifeq(A,A,B,C),B)
% 235.53/235.59 Current number of equations to process: 2684
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2861
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2878] implies(ifeq(A,A,B,C),B) <-> ifeq2(X,X,truth,Y) big_V B
% 235.53/235.59 Current number of equations to process: 2683
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2862
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2879] ifeq2(X,X,truth,Y) big_V B <-> implies(ifeq(A,A,B,C),B)
% 235.53/235.59 Current number of equations to process: 2683
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2863
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2880] implies(ifeq(A,A,truth,B),C) <-> implies(not(C),not(truth)) big_V C
% 235.53/235.59 Current number of equations to process: 2682
% 235.53/235.59 Current number of ordered equations: 1
% 235.53/235.59 Current number of rules: 2864
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2881] implies(not(C),not(truth)) big_V C <-> implies(ifeq(A,A,truth,B),C)
% 235.53/235.59 Current number of equations to process: 2682
% 235.53/235.59 Current number of ordered equations: 0
% 235.53/235.59 Current number of rules: 2865
% 235.53/235.59 New rule produced :
% 235.53/235.59 [2882] not(truth) big_V not(not(truth)) <-> ifeq(A,A,truth,B)
% 235.53/235.59 Current number of equations to process: 2732
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2866
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2883] ifeq(A,A,truth,B) <-> not(truth) big_V not(not(truth))
% 262.82/262.83 Current number of equations to process: 2732
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2867
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2884] implies(not(B),not(truth)) big_V B <-> ifeq(A,A,implies(truth,B),C)
% 262.82/262.83 Current number of equations to process: 2778
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2868
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2885] ifeq(A,A,implies(truth,B),C) <-> implies(not(B),not(truth)) big_V B
% 262.82/262.83 Current number of equations to process: 2778
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2869
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2886] implies(truth,truth) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 262.82/262.83 Current number of equations to process: 3012
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2870
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2887] implies(ifeq2(A,A,B,C),B) <-> implies(truth,truth) big_V B
% 262.82/262.83 Current number of equations to process: 3012
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2871
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2888] implies(ifeq2(A,A,B,C),B) <-> ifeq(X,X,truth,Y) big_V B
% 262.82/262.83 Current number of equations to process: 3055
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2872
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2889] ifeq(X,X,truth,Y) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 262.82/262.83 Current number of equations to process: 3055
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2873
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2890] implies(ifeq2(A,A,B,C),B) <-> ifeq2(X,X,truth,Y) big_V B
% 262.82/262.83 Current number of equations to process: 3054
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2874
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2891] ifeq2(X,X,truth,Y) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 262.82/262.83 Current number of equations to process: 3054
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2875
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2892] implies(ifeq2(A,A,truth,B),C) <-> implies(not(C),not(truth)) big_V C
% 262.82/262.83 Current number of equations to process: 3053
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2876
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2893] implies(not(C),not(truth)) big_V C <-> implies(ifeq2(A,A,truth,B),C)
% 262.82/262.83 Current number of equations to process: 3053
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2877
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2894] not(truth) big_V not(not(truth)) <-> ifeq2(A,A,truth,B)
% 262.82/262.83 Current number of equations to process: 3103
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2878
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2895] ifeq2(A,A,truth,B) <-> not(truth) big_V not(not(truth))
% 262.82/262.83 Current number of equations to process: 3103
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2879
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2896] implies(not(B),not(truth)) big_V B <-> ifeq2(A,A,implies(truth,B),C)
% 262.82/262.83 Current number of equations to process: 3163
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2880
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2897] ifeq2(A,A,implies(truth,B),C) <-> implies(not(B),not(truth)) big_V B
% 262.82/262.83 Current number of equations to process: 3163
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2881
% 262.82/262.83 New rule produced : [2898] not(truth) <-> truth big_hat not(truth)
% 262.82/262.83 Current number of equations to process: 3386
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2882
% 262.82/262.83 New rule produced : [2899] truth big_hat not(truth) <-> not(truth)
% 262.82/262.83 Current number of equations to process: 3386
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2883
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2900]
% 262.82/262.83 implies(truth,true) <-> ifeq2(implies(x,implies(truth,y)),truth,true,true)
% 262.82/262.83 Current number of equations to process: 3790
% 262.82/262.83 Current number of ordered equations: 1
% 262.82/262.83 Current number of rules: 2884
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2901]
% 262.82/262.83 ifeq2(implies(x,implies(truth,y)),truth,true,true) <-> implies(truth,true)
% 262.82/262.83 Current number of equations to process: 3790
% 262.82/262.83 Current number of ordered equations: 0
% 262.82/262.83 Current number of rules: 2885
% 262.82/262.83 New rule produced :
% 262.82/262.83 [2902]
% 262.82/262.83 ifeq2(implies(implies(truth,x),y),truth,true,true) <-> implies(truth,true)
% 262.82/262.83 Current number of equations to process: 3789
% 262.82/262.83 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2886
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2903]
% 277.61/277.66 implies(truth,true) <-> ifeq2(implies(implies(truth,x),y),truth,true,true)
% 277.61/277.66 Current number of equations to process: 3789
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2887
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2904]
% 277.61/277.66 ifeq2(true,truth,ordered(truth,ordered(x,y)),true) <-> implies(truth,true)
% 277.61/277.66 Current number of equations to process: 3788
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2888
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2905]
% 277.61/277.66 implies(truth,true) <-> ifeq2(true,truth,ordered(truth,ordered(x,y)),true)
% 277.61/277.66 Current number of equations to process: 3788
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2889
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2906]
% 277.61/277.66 implies(truth,true) <-> ifeq2(A,truth,ordered(truth,implies(truth,A)),true)
% 277.61/277.66 Current number of equations to process: 3787
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2890
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2907]
% 277.61/277.66 ifeq2(A,truth,ordered(truth,implies(truth,A)),true) <-> implies(truth,true)
% 277.61/277.66 Current number of equations to process: 3787
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2891
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2908]
% 277.61/277.66 implies(truth,true) <-> ifeq2(A,truth,ordered(implies(truth,truth),A),true)
% 277.61/277.66 Current number of equations to process: 3786
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2892
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2909]
% 277.61/277.66 ifeq2(A,truth,ordered(implies(truth,truth),A),true) <-> implies(truth,true)
% 277.61/277.66 Current number of equations to process: 3786
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2893
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2910] ordered(x,y) <-> ifeq2(implies(x,implies(truth,y)),truth,true,true)
% 277.61/277.66 Current number of equations to process: 4050
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2894
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2911] ifeq2(implies(x,implies(truth,y)),truth,true,true) <-> ordered(x,y)
% 277.61/277.66 Current number of equations to process: 4050
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2895
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2912] ifeq2(implies(implies(truth,x),y),truth,true,true) <-> ordered(x,y)
% 277.61/277.66 Current number of equations to process: 4049
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2896
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2913] ordered(x,y) <-> ifeq2(implies(implies(truth,x),y),truth,true,true)
% 277.61/277.66 Current number of equations to process: 4049
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2897
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2914] ifeq2(true,truth,ordered(truth,ordered(x,y)),true) <-> ordered(x,y)
% 277.61/277.66 Current number of equations to process: 4048
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2898
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2915] ordered(x,y) <-> ifeq2(true,truth,ordered(truth,ordered(x,y)),true)
% 277.61/277.66 Current number of equations to process: 4048
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2899
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2916] ordered(x,y) <-> ifeq2(A,truth,ordered(truth,implies(truth,A)),true)
% 277.61/277.66 Current number of equations to process: 4047
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2900
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2917] ifeq2(A,truth,ordered(truth,implies(truth,A)),true) <-> ordered(x,y)
% 277.61/277.66 Current number of equations to process: 4047
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2901
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2918] ordered(x,y) <-> ifeq2(A,truth,ordered(implies(truth,truth),A),true)
% 277.61/277.66 Current number of equations to process: 4046
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2902
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2919] ifeq2(A,truth,ordered(implies(truth,truth),A),true) <-> ordered(x,y)
% 277.61/277.66 Current number of equations to process: 4046
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2903
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2920]
% 277.61/277.66 implies(truth,truth) <-> ifeq(true,true,implies(x,implies(truth,y)),truth)
% 277.61/277.66 Current number of equations to process: 4347
% 277.61/277.66 Current number of ordered equations: 1
% 277.61/277.66 Current number of rules: 2904
% 277.61/277.66 New rule produced :
% 277.61/277.66 [2921]
% 277.61/277.66 ifeq(true,true,implies(x,implies(truth,y)),truth) <-> implies(truth,truth)
% 277.61/277.66 Current number of equations to process: 4347
% 277.61/277.66 Current number of ordered equations: 0
% 277.61/277.66 Current number of rules: 2905
% 277.61/277.66 New rule produced :
% 289.81/289.81 [2922]
% 289.81/289.81 ifeq(true,true,implies(implies(truth,x),y),truth) <-> implies(truth,truth)
% 289.81/289.81 Current number of equations to process: 4346
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2906
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2923]
% 289.81/289.81 implies(truth,truth) <-> ifeq(true,true,implies(implies(truth,x),y),truth)
% 289.81/289.81 Current number of equations to process: 4346
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2907
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2924]
% 289.81/289.81 implies(truth,truth) <-> ifeq(ordered(truth,ordered(x,y)),true,true,truth)
% 289.81/289.81 Current number of equations to process: 4345
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2908
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2925]
% 289.81/289.81 ifeq(ordered(truth,ordered(x,y)),true,true,truth) <-> implies(truth,truth)
% 289.81/289.81 Current number of equations to process: 4345
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2909
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2926]
% 289.81/289.81 implies(truth,truth) <-> ifeq(ordered(truth,implies(truth,A)),true,A,truth)
% 289.81/289.81 Current number of equations to process: 4344
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2910
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2927]
% 289.81/289.81 ifeq(ordered(truth,implies(truth,A)),true,A,truth) <-> implies(truth,truth)
% 289.81/289.81 Current number of equations to process: 4344
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2911
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2928]
% 289.81/289.81 ifeq(ordered(implies(truth,truth),A),true,A,truth) <-> implies(truth,truth)
% 289.81/289.81 Current number of equations to process: 4343
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2912
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2929]
% 289.81/289.81 implies(truth,truth) <-> ifeq(ordered(implies(truth,truth),A),true,A,truth)
% 289.81/289.81 Current number of equations to process: 4343
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2913
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2930] truth <-> implies(implies(A,not(not(A))),implies(truth,truth))
% 289.81/289.81 Current number of equations to process: 4568
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2914
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2931] implies(implies(A,not(not(A))),implies(truth,truth)) <-> truth
% 289.81/289.81 Current number of equations to process: 4568
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2915
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2932] truth <-> implies(implies(implies(A,A),truth),truth)
% 289.81/289.81 Current number of equations to process: 4775
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2916
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2933] implies(implies(implies(A,A),truth),truth) <-> truth
% 289.81/289.81 Current number of equations to process: 4775
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2917
% 289.81/289.81 New rule produced : [2934] truth <-> truth big_V implies(implies(truth,A),A)
% 289.81/289.81 Rule [337] truth <-> truth big_V implies(implies(truth,truth),truth)
% 289.81/289.81 collapsed.
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 5
% 289.81/289.81 Current number of rules: 2917
% 289.81/289.81 New rule produced : [2935] truth <-> implies(implies(A big_V B,A),truth)
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 4
% 289.81/289.81 Current number of rules: 2918
% 289.81/289.81 New rule produced : [2936] truth <-> implies(implies(A,A) big_V A,truth)
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 3
% 289.81/289.81 Current number of rules: 2919
% 289.81/289.81 New rule produced : [2937] truth big_V implies(implies(truth,A),A) <-> truth
% 289.81/289.81 Rule [339] truth big_V implies(implies(truth,truth),truth) <-> truth
% 289.81/289.81 collapsed.
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 2
% 289.81/289.81 Current number of rules: 2919
% 289.81/289.81 New rule produced : [2938] implies(implies(A big_V B,A),truth) <-> truth
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2920
% 289.81/289.81 New rule produced : [2939] implies(implies(A,A) big_V A,truth) <-> truth
% 289.81/289.81 Current number of equations to process: 4777
% 289.81/289.81 Current number of ordered equations: 0
% 289.81/289.81 Current number of rules: 2921
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2940] truth <-> implies(implies(implies(truth big_V A,A),A),truth)
% 289.81/289.81 Current number of equations to process: 4787
% 289.81/289.81 Current number of ordered equations: 1
% 289.81/289.81 Current number of rules: 2922
% 289.81/289.81 New rule produced :
% 289.81/289.81 [2941] implies(implies(implies(truth big_V A,A),A),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4787
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2923
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2942] truth <-> implies(implies(implies(ordered(x,y),true),truth),truth)
% 295.61/295.60 Current number of equations to process: 4786
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2924
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2943] implies(implies(implies(ordered(x,y),true),truth),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4786
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2925
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2944] truth <-> implies(implies(implies(implies(A,B),B),B),truth)
% 295.61/295.60 Current number of equations to process: 4785
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2926
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2945] implies(implies(implies(implies(A,B),B),B),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4785
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2927
% 295.61/295.60 New rule produced : [2946] truth <-> implies(implies(implies(A,A),A),truth)
% 295.61/295.60 Current number of equations to process: 4818
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2928
% 295.61/295.60 New rule produced : [2947] implies(implies(implies(A,A),A),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4818
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2929
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2948] truth big_V implies(implies(truth,A),A) <-> implies(truth,truth)
% 295.61/295.60 Current number of equations to process: 4885
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2930
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2949] implies(truth,truth) <-> truth big_V implies(implies(truth,A),A)
% 295.61/295.60 Current number of equations to process: 4885
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2931
% 295.61/295.60 New rule produced : [2950] truth <-> implies(implies(A,B) big_V B,truth)
% 295.61/295.60 Rule [2936] truth <-> implies(implies(A,A) big_V A,truth) collapsed.
% 295.61/295.60 Current number of equations to process: 4940
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2931
% 295.61/295.60 New rule produced : [2951] implies(implies(A,B) big_V B,truth) <-> truth
% 295.61/295.60 Rule [2939] implies(implies(A,A) big_V A,truth) <-> truth collapsed.
% 295.61/295.60 Current number of equations to process: 4940
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2931
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2952] truth <-> implies(implies(implies(true,ordered(x,y)),truth),truth)
% 295.61/295.60 Current number of equations to process: 4946
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2932
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2953] implies(implies(implies(true,ordered(x,y)),truth),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4946
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2933
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2954] truth <-> implies(implies(implies(A,implies(truth,A)),truth),truth)
% 295.61/295.60 Current number of equations to process: 4945
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2934
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2955] implies(implies(implies(A,implies(truth,A)),truth),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4945
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2935
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2956] truth <-> implies(implies(implies(A,A),implies(truth,truth)),truth)
% 295.61/295.60 Current number of equations to process: 4944
% 295.61/295.60 Current number of ordered equations: 1
% 295.61/295.60 Current number of rules: 2936
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2957] implies(implies(implies(A,A),implies(truth,truth)),truth) <-> truth
% 295.61/295.60 Current number of equations to process: 4944
% 295.61/295.60 Current number of ordered equations: 0
% 295.61/295.60 Current number of rules: 2937
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2958] truth <-> implies(truth,truth big_V implies(implies(truth,A),A))
% 295.61/295.60 Current number of equations to process: 4941
% 295.61/295.60 Current number of ordered equations: 5
% 295.61/295.60 Current number of rules: 2938
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2959] truth <-> implies(implies(truth,implies(A,A) big_V A),truth)
% 295.61/295.60 Current number of equations to process: 4941
% 295.61/295.60 Current number of ordered equations: 4
% 295.61/295.60 Current number of rules: 2939
% 295.61/295.60 New rule produced :
% 295.61/295.60 [2960] truth <-> implies(implies(implies(truth,A big_V B),A),truth)
% 295.61/295.60 Current number of equations to process: 4941
% 295.61/295.60 Current number of ordered equations: 3
% 295.61/295.60 Current number of rules:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------