TSTP Solution File: LCL148-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LCL148-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n192.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 300.06s
% 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 : LCL148-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.26 % Computer : n192.star.cs.uiowa.edu
% 0.03/0.26 % Model : x86_64 x86_64
% 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26 % Memory : 32218.5MB
% 0.03/0.26 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.26 % CPULimit : 300
% 0.03/0.26 % DateTime : Thu Feb 21 15:19:40 CST 2019
% 0.03/0.27 % CPUTime :
% 1.15/1.43 Processing problem /tmp/CiME_3488_n192.star.cs.uiowa.edu
% 1.15/1.43 #verbose 1;
% 1.15/1.43 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;";
% 1.15/1.43 let X = vars "A B C X Y Z";
% 1.15/1.43 let Axioms = equations F X "
% 1.15/1.43 ifeq2(A,A,B,C) = B;
% 1.15/1.43 ifeq(A,A,B,C) = B;
% 1.15/1.43 implies(truth,X) = X;
% 1.15/1.43 implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth;
% 1.15/1.43 implies(implies(X,Y),Y) = implies(implies(Y,X),X);
% 1.15/1.43 implies(implies(not(X),not(Y)),implies(Y,X)) = truth;
% 1.15/1.43 big_V(X,Y) = implies(implies(X,Y),Y);
% 1.15/1.43 big_hat(X,Y) = not(big_V(not(X),not(Y)));
% 1.15/1.43 ifeq(ordered(X,Y),true,implies(X,Y),truth) = truth;
% 1.15/1.43 ifeq2(implies(X,Y),truth,ordered(X,Y),true) = true;
% 1.15/1.43 ";
% 1.15/1.43
% 1.15/1.43 let s1 = status F "
% 1.15/1.43 z lr_lex;
% 1.15/1.43 y lr_lex;
% 1.15/1.43 x lr_lex;
% 1.15/1.43 true lr_lex;
% 1.15/1.43 ordered lr_lex;
% 1.15/1.43 big_hat lr_lex;
% 1.15/1.43 big_V lr_lex;
% 1.15/1.43 not lr_lex;
% 1.15/1.43 implies lr_lex;
% 1.15/1.43 truth lr_lex;
% 1.15/1.43 ifeq lr_lex;
% 1.15/1.43 ifeq2 lr_lex;
% 1.15/1.43 ";
% 1.15/1.43
% 1.15/1.43 let p1 = precedence F "
% 1.15/1.43 big_hat > ifeq2 > ifeq > implies > big_V > ordered > not > truth > true > x > y > z";
% 1.15/1.43
% 1.15/1.43 let s2 = status F "
% 1.15/1.43 z mul;
% 1.15/1.43 y mul;
% 1.15/1.43 x mul;
% 1.15/1.43 true mul;
% 1.15/1.43 ordered mul;
% 1.15/1.43 big_hat mul;
% 1.15/1.43 big_V mul;
% 1.15/1.43 not mul;
% 1.15/1.43 implies mul;
% 1.15/1.43 truth mul;
% 1.15/1.43 ifeq mul;
% 1.15/1.43 ifeq2 mul;
% 1.15/1.43 ";
% 1.15/1.43
% 1.15/1.43 let p2 = precedence F "
% 1.15/1.43 big_hat > ifeq2 > ifeq > implies > big_V > ordered > not > truth = true = x = y = z";
% 1.15/1.43
% 1.15/1.43 let o_auto = AUTO Axioms;
% 1.15/1.43
% 1.15/1.43 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.15/1.43
% 1.15/1.43 let Conjectures = equations F X " implies(x,big_hat(y,z)) = big_hat(implies(x,y),implies(x,z));"
% 1.15/1.43 ;
% 1.15/1.43 (*
% 1.15/1.43 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.15/1.43
% 1.15/1.43 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.15/1.43 *)
% 1.15/1.43 #time on;
% 1.15/1.43
% 1.15/1.43 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.15/1.43
% 1.15/1.43 #time off;
% 1.15/1.43
% 1.15/1.43
% 1.15/1.43 let status = if res then "unsatisfiable" else "satisfiable";
% 1.15/1.43 #quit;
% 1.15/1.43 Verbose level is now 1
% 1.15/1.43
% 1.15/1.43 F : signature = <signature>
% 1.15/1.43 X : variable_set = <variable set>
% 1.15/1.43
% 1.15/1.43 Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.15/1.43 ifeq(A,A,B,C) = B,
% 1.15/1.43 implies(truth,X) = X,
% 1.15/1.43 implies(implies(X,Y),implies(implies(Y,Z),
% 1.15/1.43 implies(X,Z))) = truth,
% 1.15/1.43 implies(implies(X,Y),Y) =
% 1.15/1.43 implies(implies(Y,X),X),
% 1.15/1.43 implies(implies(not(X),not(Y)),implies(Y,X)) =
% 1.15/1.43 truth,
% 1.15/1.43 big_V(X,Y) = implies(implies(X,Y),Y),
% 1.15/1.43 big_hat(X,Y) = not(big_V(not(X),not(Y))),
% 1.15/1.43 ifeq(ordered(X,Y),true,implies(X,Y),truth) =
% 1.15/1.43 truth,
% 1.15/1.43 ifeq2(implies(X,Y),truth,ordered(X,Y),true) =
% 1.15/1.43 true } (10 equation(s))
% 1.15/1.43 s1 : F status = <status>
% 1.15/1.43 p1 : F precedence = <precedence>
% 1.15/1.43 s2 : F status = <status>
% 1.15/1.43 p2 : F precedence = <precedence>
% 1.15/1.43 o_auto : F term_ordering = <term ordering>
% 1.15/1.43 o : F term_ordering = <term ordering>
% 1.15/1.43 Conjectures : (F,X) equations = { implies(x,big_hat(y,z)) =
% 1.15/1.43 big_hat(implies(x,y),implies(x,z)) }
% 1.15/1.43 (1 equation(s))
% 1.15/1.43 time is now on
% 1.15/1.43
% 1.15/1.43 Initializing completion ...
% 1.15/1.43 New rule produced : [1] implies(truth,X) -> X
% 1.15/1.43 Current number of equations to process: 0
% 1.15/1.43 Current number of ordered equations: 10
% 1.15/1.43 Current number of rules: 1
% 1.15/1.43 New rule produced : [2] ifeq(A,A,B,C) -> B
% 1.15/1.43 Current number of equations to process: 0
% 1.15/1.43 Current number of ordered equations: 9
% 1.15/1.43 Current number of rules: 2
% 1.15/1.43 New rule produced : [3] ifeq2(A,A,B,C) -> B
% 1.15/1.43 Current number of equations to process: 0
% 1.15/1.43 Current number of ordered equations: 8
% 1.15/1.43 Current number of rules: 3
% 1.15/1.43 New rule produced : [4] implies(implies(X,Y),Y) -> big_V(X,Y)
% 1.15/1.43 Current number of equations to process: 2
% 1.15/1.43 Current number of ordered equations: 5
% 1.15/1.43 Current number of rules: 4
% 1.15/1.43 New rule produced : [5] big_hat(X,Y) -> not(big_V(not(X),not(Y)))
% 1.15/1.43 The conjecture has been reduced.
% 1.15/1.43 Conjecture is now:
% 1.15/1.43 implies(x,not(big_V(not(y),not(z)))) = not(big_V(not(implies(x,y)),not(
% 1.15/1.43 implies(x,z))))
% 1.15/1.43
% 1.15/1.43 Current number of equations to process: 0
% 1.15/1.43 Current number of ordered equations: 6
% 1.19/1.48 Current number of rules: 5
% 1.19/1.48 big_V(X,Y) = big_V(Y,X) (birth = 0, lhs_size = 5, rhs_size = 5,trace = in the starting set)
% 1.19/1.48 Initializing completion ...
% 1.19/1.48 New rule produced : [1] X <-> implies(truth,X)
% 1.19/1.48 Current number of equations to process: 6
% 1.19/1.48 Current number of ordered equations: 17
% 1.19/1.48 Current number of rules: 1
% 1.19/1.48 New rule produced : [2] implies(truth,X) <-> X
% 1.19/1.48 Current number of equations to process: 6
% 1.19/1.48 Current number of ordered equations: 16
% 1.19/1.48 Current number of rules: 2
% 1.19/1.48 New rule produced : [3] B <-> ifeq(A,A,B,C)
% 1.19/1.48 Current number of equations to process: 7
% 1.19/1.48 Current number of ordered equations: 17
% 1.19/1.48 Current number of rules: 3
% 1.19/1.48 New rule produced : [4] B <-> ifeq2(A,A,B,C)
% 1.19/1.48 Current number of equations to process: 7
% 1.19/1.48 Current number of ordered equations: 16
% 1.19/1.48 Current number of rules: 4
% 1.19/1.48 New rule produced : [5] ifeq(A,A,B,C) <-> B
% 1.19/1.48 Current number of equations to process: 7
% 1.19/1.48 Current number of ordered equations: 15
% 1.19/1.48 Current number of rules: 5
% 1.19/1.48 New rule produced : [6] ifeq2(A,A,B,C) <-> B
% 1.19/1.48 Current number of equations to process: 7
% 1.19/1.48 Current number of ordered equations: 14
% 1.19/1.48 Current number of rules: 6
% 1.19/1.48 New rule produced : [7] X big_V Y <-> implies(implies(X,Y),Y)
% 1.19/1.48 Current number of equations to process: 20
% 1.19/1.48 Current number of ordered equations: 17
% 1.19/1.48 Current number of rules: 7
% 1.19/1.48 New rule produced : [8] implies(implies(X,Y),Y) <-> X big_V Y
% 1.19/1.48 Current number of equations to process: 20
% 1.19/1.48 Current number of ordered equations: 16
% 1.19/1.48 Current number of rules: 8
% 1.19/1.48 New rule produced : [9] not(not(X) big_V not(Y)) <-> big_hat(X,Y)
% 1.19/1.48 Current number of equations to process: 29
% 1.19/1.48 Current number of ordered equations: 21
% 1.19/1.48 Current number of rules: 9
% 1.19/1.48 New rule produced : [10] big_hat(X,Y) <-> not(not(X) big_V not(Y))
% 1.19/1.48 Current number of equations to process: 29
% 1.19/1.48 Current number of ordered equations: 20
% 1.19/1.48 Current number of rules: 10
% 1.19/1.48 New rule produced : [11] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X)
% 1.19/1.48 Current number of equations to process: 29
% 1.19/1.48 Current number of ordered equations: 18
% 1.19/1.48 Current number of rules: 11
% 1.19/1.48 New rule produced : [12] true <-> ifeq2(implies(X,Y),truth,ordered(X,Y),true)
% 1.19/1.48 Current number of equations to process: 41
% 1.19/1.48 Current number of ordered equations: 53
% 1.19/1.48 Current number of rules: 12
% 1.19/1.48 New rule produced : [13] truth <-> ifeq(ordered(X,Y),true,implies(X,Y),truth)
% 1.19/1.48 Current number of equations to process: 41
% 1.19/1.48 Current number of ordered equations: 52
% 1.19/1.48 Current number of rules: 13
% 1.19/1.48 New rule produced : [14] ifeq(ordered(X,Y),true,implies(X,Y),truth) <-> truth
% 1.19/1.48 Current number of equations to process: 41
% 1.19/1.48 Current number of ordered equations: 51
% 1.19/1.48 Current number of rules: 14
% 1.19/1.48 New rule produced : [15] ifeq2(implies(X,Y),truth,ordered(X,Y),true) <-> true
% 1.19/1.48 Current number of equations to process: 41
% 1.19/1.48 Current number of ordered equations: 50
% 1.19/1.48 Current number of rules: 15
% 1.19/1.48 New rule produced :
% 1.19/1.48 [16] truth <-> implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))
% 1.19/1.48 Current number of equations to process: 60
% 1.19/1.48 Current number of ordered equations: 105
% 1.19/1.48 Current number of rules: 16
% 1.19/1.48 New rule produced :
% 1.19/1.48 [17] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) <-> truth
% 1.19/1.48 Current number of equations to process: 60
% 1.19/1.48 Current number of ordered equations: 104
% 1.19/1.48 Current number of rules: 17
% 1.19/1.48 New rule produced : [18] truth big_V A <-> implies(A,A)
% 1.19/1.48 Current number of equations to process: 60
% 1.19/1.48 Current number of ordered equations: 102
% 1.19/1.48 Current number of rules: 18
% 1.19/1.48 New rule produced : [19] implies(A,A) <-> truth big_V A
% 1.19/1.48 Current number of equations to process: 60
% 1.19/1.48 Current number of ordered equations: 100
% 1.19/1.48 Current number of rules: 19
% 1.19/1.48 big_hat(B,A) = big_hat(A,B) (birth = 62, lhs_size = 3, rhs_size = 3,trace = Self cp of 9)
% 1.19/1.48 Initializing completion ...
% 1.19/1.48 New rule produced : [1] X <-> implies(truth,X)
% 1.19/1.48 Current number of equations to process: 1
% 1.19/1.48 Current number of ordered equations: 30
% 1.19/1.48 Current number of rules: 1
% 1.19/1.48 New rule produced : [2] (eq)(A,A) -> (true)
% 1.19/1.48 Current number of equations to process: 1
% 1.19/1.48 Current number of ordered equations: 29
% 1.19/1.48 Current number of rules: 2
% 1.19/1.48 New rule produced : [3] implies(truth,X) <-> X
% 1.19/1.48 Current number of equations to process: 1
% 1.19/1.48 Current number of ordered equations: 27
% 1.19/1.48 Current number of rules: 3
% 1.19/1.48 New rule produced : [4] truth big_V A <-> implies(A,A)
% 1.19/1.58 Current number of equations to process: 3
% 1.19/1.58 Current number of ordered equations: 26
% 1.19/1.58 Current number of rules: 4
% 1.19/1.58 New rule produced : [5] implies(A,A) <-> truth big_V A
% 1.19/1.58 Current number of equations to process: 3
% 1.19/1.58 Current number of ordered equations: 25
% 1.19/1.58 Current number of rules: 5
% 1.19/1.58 New rule produced : [6] B <-> ifeq(A,A,B,C)
% 1.19/1.58 Current number of equations to process: 6
% 1.19/1.58 Current number of ordered equations: 25
% 1.19/1.58 Current number of rules: 6
% 1.19/1.58 New rule produced : [7] B <-> ifeq2(A,A,B,C)
% 1.19/1.58 Current number of equations to process: 6
% 1.19/1.58 Current number of ordered equations: 23
% 1.19/1.58 Current number of rules: 7
% 1.19/1.58 New rule produced : [8] (eq)(A,implies(truth,implies(truth,A))) -> (false)
% 1.19/1.58 Current number of equations to process: 6
% 1.19/1.58 Current number of ordered equations: 22
% 1.19/1.58 Current number of rules: 8
% 1.19/1.58 New rule produced : [9] ifeq(A,A,B,C) <-> B
% 1.19/1.58 Current number of equations to process: 6
% 1.19/1.58 Current number of ordered equations: 20
% 1.19/1.58 Current number of rules: 9
% 1.19/1.58 New rule produced : [10] ifeq2(A,A,B,C) <-> B
% 1.19/1.58 Current number of equations to process: 6
% 1.19/1.58 Current number of ordered equations: 18
% 1.19/1.58 Current number of rules: 10
% 1.19/1.58 New rule produced : [11] X big_V Y <-> implies(implies(X,Y),Y)
% 1.19/1.58 Current number of equations to process: 36
% 1.19/1.58 Current number of ordered equations: 23
% 1.19/1.58 Current number of rules: 11
% 1.19/1.58 New rule produced : [12] implies(implies(X,Y),Y) <-> X big_V Y
% 1.19/1.58 Current number of equations to process: 36
% 1.19/1.58 Current number of ordered equations: 22
% 1.19/1.58 Current number of rules: 12
% 1.19/1.58 New rule produced : [13] not(not(X) big_V not(Y)) <-> X big_hat Y
% 1.19/1.58 Current number of equations to process: 42
% 1.19/1.58 Current number of ordered equations: 35
% 1.19/1.58 Current number of rules: 13
% 1.19/1.58 New rule produced : [14] X big_hat Y <-> not(not(X) big_V not(Y))
% 1.19/1.58 Current number of equations to process: 42
% 1.19/1.58 Current number of ordered equations: 34
% 1.19/1.58 Current number of rules: 14
% 1.19/1.58 New rule produced : [15] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X)
% 1.19/1.58 Current number of equations to process: 42
% 1.19/1.58 Current number of ordered equations: 32
% 1.19/1.58 Current number of rules: 15
% 1.19/1.58 New rule produced : [16] true <-> ifeq2(implies(X,Y),truth,ordered(X,Y),true)
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 77
% 1.19/1.58 Current number of rules: 16
% 1.19/1.58 New rule produced : [17] truth <-> ifeq(ordered(X,Y),true,implies(X,Y),truth)
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 76
% 1.19/1.58 Current number of rules: 17
% 1.19/1.58 New rule produced :
% 1.19/1.58 [18] truth <-> implies(implies(not(X),not(Y)),implies(Y,X))
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 75
% 1.19/1.58 Current number of rules: 18
% 1.19/1.58 New rule produced : [19] ifeq(ordered(X,Y),true,implies(X,Y),truth) <-> truth
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 74
% 1.19/1.58 Current number of rules: 19
% 1.19/1.58 New rule produced :
% 1.19/1.58 [20] implies(implies(not(X),not(Y)),implies(Y,X)) <-> truth
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 73
% 1.19/1.58 Current number of rules: 20
% 1.19/1.58 New rule produced : [21] ifeq2(implies(X,Y),truth,ordered(X,Y),true) <-> true
% 1.19/1.58 Current number of equations to process: 41
% 1.19/1.58 Current number of ordered equations: 71
% 1.19/1.58 Current number of rules: 21
% 1.19/1.58 New rule produced :
% 1.19/1.58 [22] truth <-> implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))
% 1.19/1.58 Current number of equations to process: 94
% 1.19/1.58 Current number of ordered equations: 140
% 1.19/1.58 Current number of rules: 22
% 1.19/1.58 New rule produced :
% 1.19/1.58 [23] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) <-> truth
% 1.19/1.58 Current number of equations to process: 94
% 1.19/1.58 Current number of ordered equations: 139
% 1.19/1.58 Current number of rules: 23
% 1.19/1.58 New rule produced : [24] truth <-> truth big_V truth
% 1.19/1.58 Current number of equations to process: 94
% 1.19/1.58 Current number of ordered equations: 138
% 1.19/1.58 Current number of rules: 24
% 1.19/1.58 New rule produced : [25] truth big_V truth <-> truth
% 1.19/1.58 Current number of equations to process: 94
% 1.19/1.58 Current number of ordered equations: 137
% 1.19/1.58 Current number of rules: 25
% 1.19/1.58 New rule produced : [26] (eq)(A,implies(truth,A)) -> (false)
% 1.19/1.58 Current number of equations to process: 94
% 1.19/1.58 Current number of ordered equations: 136
% 1.19/1.58 Current number of rules: 26
% 1.19/1.58 New rule produced : [27] A <-> implies(truth,implies(truth,A))
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 135
% 1.57/1.81 Current number of rules: 27
% 1.57/1.81 New rule produced : [28] A <-> implies(implies(truth,truth),A)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 134
% 1.57/1.81 Current number of rules: 28
% 1.57/1.81 New rule produced : [29] implies(truth,implies(truth,A)) <-> A
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 133
% 1.57/1.81 Current number of rules: 29
% 1.57/1.81 New rule produced : [30] implies(implies(truth,truth),A) <-> A
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 132
% 1.57/1.81 Current number of rules: 30
% 1.57/1.81 New rule produced :
% 1.57/1.81 [31] (eq)(truth,implies(truth,truth big_V truth)) -> (false)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 131
% 1.57/1.81 Current number of rules: 31
% 1.57/1.81 New rule produced : [32] implies(truth,truth) big_V A <-> implies(A,A)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 130
% 1.57/1.81 Current number of rules: 32
% 1.57/1.81 New rule produced : [33] implies(A,A) <-> implies(truth,truth) big_V A
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 129
% 1.57/1.81 Current number of rules: 33
% 1.57/1.81 New rule produced : [34] implies(A,A) <-> implies(truth,truth big_V A)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 128
% 1.57/1.81 Current number of rules: 34
% 1.57/1.81 New rule produced : [35] implies(truth,truth big_V A) <-> implies(A,A)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 127
% 1.57/1.81 Current number of rules: 35
% 1.57/1.81 New rule produced : [36] truth big_V A <-> implies(truth,implies(A,A))
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 126
% 1.57/1.81 Current number of rules: 36
% 1.57/1.81 New rule produced : [37] implies(truth,implies(A,A)) <-> truth big_V A
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 125
% 1.57/1.81 Current number of rules: 37
% 1.57/1.81 New rule produced : [38] implies(truth,A) <-> ifeq(B,B,A,C)
% 1.57/1.81 Current number of equations to process: 94
% 1.57/1.81 Current number of ordered equations: 124
% 1.57/1.82 Current number of rules: 38
% 1.57/1.82 New rule produced : [39] ifeq(B,B,A,C) <-> implies(truth,A)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 123
% 1.57/1.82 Current number of rules: 39
% 1.57/1.82 New rule produced : [40] implies(truth,A) <-> ifeq2(B,B,A,C)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 122
% 1.57/1.82 Current number of rules: 40
% 1.57/1.82 New rule produced : [41] ifeq2(B,B,A,C) <-> implies(truth,A)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 121
% 1.57/1.82 Current number of rules: 41
% 1.57/1.82 New rule produced : [42] implies(A,A) <-> implies(implies(A,truth),truth)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 119
% 1.57/1.82 Current number of rules: 42
% 1.57/1.82 New rule produced : [43] implies(implies(A,truth),truth) <-> implies(A,A)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 117
% 1.57/1.82 Current number of rules: 43
% 1.57/1.82 New rule produced : [44] A big_V A <-> implies(truth big_V A,A)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 116
% 1.57/1.82 Current number of rules: 44
% 1.57/1.82 New rule produced : [45] implies(truth big_V A,A) <-> A big_V A
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 115
% 1.57/1.82 Current number of rules: 45
% 1.57/1.82 New rule produced : [46] A big_V B <-> implies(implies(B,A),A)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 114
% 1.57/1.82 Current number of rules: 46
% 1.57/1.82 New rule produced : [47] implies(implies(B,A),A) <-> A big_V B
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 113
% 1.57/1.82 Current number of rules: 47
% 1.57/1.82 New rule produced : [48] ifeq(X,X,B,Y) <-> ifeq(A,A,B,C)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 111
% 1.57/1.82 Current number of rules: 48
% 1.57/1.82 New rule produced : [49] A <-> ifeq(B,B,implies(truth,A),C)
% 1.57/1.82 Current number of equations to process: 94
% 1.57/1.82 Current number of ordered equations: 110
% 1.57/1.82 Current number of rules: 49
% 1.57/1.82 New rule produced : [50] C <-> implies(ifeq(A,A,truth,B),C)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 109
% 1.88/2.12 Current number of rules: 50
% 1.88/2.12 New rule produced : [51] implies(ifeq(A,A,truth,B),C) <-> C
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 108
% 1.88/2.12 Current number of rules: 51
% 1.88/2.12 New rule produced : [52] ifeq(B,B,implies(truth,A),C) <-> A
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 107
% 1.88/2.12 Current number of rules: 52
% 1.88/2.12 New rule produced : [53] ifeq2(X,X,B,Y) <-> ifeq2(A,A,B,C)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 105
% 1.88/2.12 Current number of rules: 53
% 1.88/2.12 New rule produced : [54] A <-> ifeq2(B,B,implies(truth,A),C)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 104
% 1.88/2.12 Current number of rules: 54
% 1.88/2.12 New rule produced : [55] C <-> implies(ifeq2(A,A,truth,B),C)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 103
% 1.88/2.12 Current number of rules: 55
% 1.88/2.12 New rule produced : [56] implies(ifeq2(A,A,truth,B),C) <-> C
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 102
% 1.88/2.12 Current number of rules: 56
% 1.88/2.12 New rule produced : [57] ifeq2(B,B,implies(truth,A),C) <-> A
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 101
% 1.88/2.12 Current number of rules: 57
% 1.88/2.12 New rule produced : [58] ifeq2(X,X,B,Y) <-> ifeq(A,A,B,C)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 100
% 1.88/2.12 Current number of rules: 58
% 1.88/2.12 New rule produced : [59] ifeq(A,A,B,C) <-> ifeq2(X,X,B,Y)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 99
% 1.88/2.12 Current number of rules: 59
% 1.88/2.12 New rule produced :
% 1.88/2.12 [60] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (false)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 98
% 1.88/2.12 Current number of rules: 60
% 1.88/2.12 New rule produced :
% 1.88/2.12 [61] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (false)
% 1.88/2.12 Current number of equations to process: 94
% 1.88/2.12 Current number of ordered equations: 97
% 1.88/2.12 Current number of rules: 61
% 1.88/2.13 New rule produced :
% 1.88/2.13 [62] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (false)
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 96
% 1.88/2.13 Current number of rules: 62
% 1.88/2.13 New rule produced : [63] B <-> implies(truth,ifeq(A,A,B,C))
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 95
% 1.88/2.13 Current number of rules: 63
% 1.88/2.13 New rule produced : [64] implies(truth,ifeq(A,A,B,C)) <-> B
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 94
% 1.88/2.13 Current number of rules: 64
% 1.88/2.13 New rule produced : [65] B <-> implies(truth,ifeq2(A,A,B,C))
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 93
% 1.88/2.13 Current number of rules: 65
% 1.88/2.13 New rule produced : [66] implies(truth,ifeq2(A,A,B,C)) <-> B
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 92
% 1.88/2.13 Current number of rules: 66
% 1.88/2.13 New rule produced : [67] implies(truth,A big_V B) <-> implies(implies(A,B),B)
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 91
% 1.88/2.13 Current number of rules: 67
% 1.88/2.13 New rule produced : [68] implies(implies(A,B),B) <-> implies(truth,A big_V B)
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 90
% 1.88/2.13 Current number of rules: 68
% 1.88/2.13 New rule produced : [69] implies(A,B) big_V B <-> implies(A big_V B,B)
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 89
% 1.88/2.13 Current number of rules: 69
% 1.88/2.13 New rule produced : [70] implies(A big_V B,B) <-> implies(A,B) big_V B
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 88
% 1.88/2.13 Current number of rules: 70
% 1.88/2.13 New rule produced : [71] truth <-> ifeq(ordered(truth,A),true,A,truth)
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 87
% 1.88/2.13 Current number of rules: 71
% 1.88/2.13 New rule produced : [72] ifeq(ordered(truth,A),true,A,truth) <-> truth
% 1.88/2.13 Current number of equations to process: 94
% 1.88/2.13 Current number of ordered equations: 86
% 1.88/2.13 Current number of rules: 72
% 1.88/2.13 New rule produced : [73] truth <-> implies(implies(not(A),not(truth)),A)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 85
% 2.17/2.45 Current number of rules: 73
% 2.17/2.45 New rule produced : [74] implies(implies(not(A),not(truth)),A) <-> truth
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 84
% 2.17/2.45 Current number of rules: 74
% 2.17/2.45 New rule produced : [75] true <-> ifeq2(A,truth,ordered(truth,A),true)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 83
% 2.17/2.45 Current number of rules: 75
% 2.17/2.45 New rule produced : [76] ifeq2(A,truth,ordered(truth,A),true) <-> true
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 82
% 2.17/2.45 Current number of rules: 76
% 2.17/2.45 New rule produced : [77] implies(A,A) <-> ifeq(B,B,truth big_V A,C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 81
% 2.17/2.45 Current number of rules: 77
% 2.17/2.45 New rule produced : [78] implies(C,C) <-> ifeq(A,A,truth,B) big_V C
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 80
% 2.17/2.45 Current number of rules: 78
% 2.17/2.45 New rule produced : [79] ifeq(A,A,truth,B) big_V C <-> implies(C,C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 79
% 2.17/2.45 Current number of rules: 79
% 2.17/2.45 New rule produced : [80] ifeq(B,B,truth big_V A,C) <-> implies(A,A)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 78
% 2.17/2.45 Current number of rules: 80
% 2.17/2.45 New rule produced : [81] truth big_V A <-> ifeq(B,B,implies(A,A),C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 77
% 2.17/2.45 Current number of rules: 81
% 2.17/2.45 New rule produced : [82] ifeq(B,B,implies(A,A),C) <-> truth big_V A
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 76
% 2.17/2.45 Current number of rules: 82
% 2.17/2.45 New rule produced : [83] implies(A,A) <-> ifeq2(B,B,truth big_V A,C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 75
% 2.17/2.45 Current number of rules: 83
% 2.17/2.45 New rule produced : [84] implies(C,C) <-> ifeq2(A,A,truth,B) big_V C
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 74
% 2.17/2.45 Current number of rules: 84
% 2.17/2.45 New rule produced : [85] ifeq2(A,A,truth,B) big_V C <-> implies(C,C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 73
% 2.17/2.45 Current number of rules: 85
% 2.17/2.45 New rule produced : [86] ifeq2(B,B,truth big_V A,C) <-> implies(A,A)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 72
% 2.17/2.45 Current number of rules: 86
% 2.17/2.45 New rule produced : [87] truth big_V A <-> ifeq2(B,B,implies(A,A),C)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 71
% 2.17/2.45 Current number of rules: 87
% 2.17/2.45 New rule produced : [88] ifeq2(B,B,implies(A,A),C) <-> truth big_V A
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 70
% 2.17/2.45 Current number of rules: 88
% 2.17/2.45 New rule produced : [89] A big_V B <-> implies(truth,implies(implies(A,B),B))
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 69
% 2.17/2.45 Current number of rules: 89
% 2.17/2.45 New rule produced : [90] A big_V B <-> implies(implies(truth,implies(A,B)),B)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 68
% 2.17/2.45 Current number of rules: 90
% 2.17/2.45 New rule produced : [91] implies(truth,implies(implies(A,B),B)) <-> A big_V B
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 67
% 2.17/2.45 Current number of rules: 91
% 2.17/2.45 New rule produced : [92] implies(implies(truth,implies(A,B)),B) <-> A big_V B
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 66
% 2.17/2.45 Current number of rules: 92
% 2.17/2.45 New rule produced :
% 2.17/2.45 [93] not(not(A) big_V not(B)) <-> implies(truth,A big_hat B)
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 65
% 2.17/2.45 Current number of rules: 93
% 2.17/2.45 New rule produced :
% 2.17/2.45 [94] implies(truth,A big_hat B) <-> not(not(A) big_V not(B))
% 2.17/2.45 Current number of equations to process: 94
% 2.17/2.45 Current number of ordered equations: 64
% 2.17/2.45 Current number of rules: 94
% 2.17/2.45 New rule produced : [95] truth <-> implies(truth big_V not(A),implies(A,A))
% 2.17/2.45 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 63
% 2.46/2.71 Current number of rules: 95
% 2.46/2.71 New rule produced : [96] implies(truth big_V not(A),implies(A,A)) <-> truth
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 62
% 2.46/2.71 Current number of rules: 96
% 2.46/2.71 New rule produced :
% 2.46/2.71 [97] implies(x,z) big_hat implies(x,y) <-> implies(x,z big_hat y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 61
% 2.46/2.71 Current number of rules: 97
% 2.46/2.71 New rule produced :
% 2.46/2.71 [98] implies(x,z big_hat y) <-> implies(x,z) big_hat implies(x,y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 60
% 2.46/2.71 Current number of rules: 98
% 2.46/2.71 New rule produced :
% 2.46/2.71 [99] (eq)(A,implies(truth,ifeq(B,B,implies(truth,A),C))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 59
% 2.46/2.71 Current number of rules: 99
% 2.46/2.71 New rule produced :
% 2.46/2.71 [100] (eq)(A,implies(ifeq(B,B,truth,C),implies(truth,A))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 58
% 2.46/2.71 Current number of rules: 100
% 2.46/2.71 New rule produced :
% 2.46/2.71 [101] (eq)(A,implies(truth,implies(ifeq(B,B,truth,C),A))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 57
% 2.46/2.71 Current number of rules: 101
% 2.46/2.71 New rule produced :
% 2.46/2.71 [102] (eq)(A,ifeq(B,B,implies(truth,implies(truth,A)),C)) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 56
% 2.46/2.71 Current number of rules: 102
% 2.46/2.71 New rule produced :
% 2.46/2.71 [103] (eq)(A,implies(truth,ifeq2(B,B,implies(truth,A),C))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 55
% 2.46/2.71 Current number of rules: 103
% 2.46/2.71 New rule produced :
% 2.46/2.71 [104] (eq)(A,implies(ifeq2(B,B,truth,C),implies(truth,A))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 54
% 2.46/2.71 Current number of rules: 104
% 2.46/2.71 New rule produced :
% 2.46/2.71 [105] (eq)(A,implies(truth,implies(ifeq2(B,B,truth,C),A))) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 53
% 2.46/2.71 Current number of rules: 105
% 2.46/2.71 New rule produced :
% 2.46/2.71 [106] (eq)(A,ifeq2(B,B,implies(truth,implies(truth,A)),C)) -> (false)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 52
% 2.46/2.71 Current number of rules: 106
% 2.46/2.71 New rule produced : [107] C <-> ifeq(A,A,ifeq(B,B,C,X),Y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 51
% 2.46/2.71 Current number of rules: 107
% 2.46/2.71 New rule produced : [108] ifeq(A,A,ifeq(B,B,C,X),Y) <-> C
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 50
% 2.46/2.71 Current number of rules: 108
% 2.46/2.71 New rule produced : [109] C <-> ifeq2(A,A,ifeq(B,B,C,X),Y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 49
% 2.46/2.71 Current number of rules: 109
% 2.46/2.71 New rule produced : [110] ifeq2(A,A,ifeq(B,B,C,X),Y) <-> C
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 48
% 2.46/2.71 Current number of rules: 110
% 2.46/2.71 New rule produced : [111] C <-> ifeq(A,A,ifeq2(B,B,C,X),Y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 47
% 2.46/2.71 Current number of rules: 111
% 2.46/2.71 New rule produced : [112] ifeq(A,A,ifeq2(B,B,C,X),Y) <-> C
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 46
% 2.46/2.71 Current number of rules: 112
% 2.46/2.71 New rule produced : [113] C <-> ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 45
% 2.46/2.71 Current number of rules: 113
% 2.46/2.71 New rule produced : [114] ifeq2(A,A,ifeq2(B,B,C,X),Y) <-> C
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 44
% 2.46/2.71 Current number of rules: 114
% 2.46/2.71 New rule produced : [115] implies(implies(B,C),C) <-> ifeq(A,A,B big_V C,X)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 43
% 2.46/2.71 Current number of rules: 115
% 2.46/2.71 New rule produced : [116] ifeq(A,A,B big_V C,X) <-> implies(implies(B,C),C)
% 2.46/2.71 Current number of equations to process: 94
% 2.46/2.71 Current number of ordered equations: 42
% 2.46/2.71 Current number of rules: 116
% 2.46/2.71 New rule produced : [117] implies(implies(B,C),C) <-> ifeq2(A,A,B big_V C,X)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 41
% 2.66/2.91 Current number of rules: 117
% 2.66/2.91 New rule produced : [118] ifeq2(A,A,B big_V C,X) <-> implies(implies(B,C),C)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 40
% 2.66/2.91 Current number of rules: 118
% 2.66/2.91 New rule produced :
% 2.66/2.91 [119] not(implies(truth,not(A) big_V not(B))) <-> A big_hat B
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 39
% 2.66/2.91 Current number of rules: 119
% 2.66/2.91 New rule produced :
% 2.66/2.91 [120] not(not(A) big_V implies(truth,not(B))) <-> A big_hat B
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 38
% 2.66/2.91 Current number of rules: 120
% 2.66/2.91 New rule produced :
% 2.66/2.91 [121] A big_hat B <-> not(implies(truth,not(A) big_V not(B)))
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 37
% 2.66/2.91 Current number of rules: 121
% 2.66/2.91 New rule produced :
% 2.66/2.91 [122] A big_hat B <-> not(not(A) big_V implies(truth,not(B)))
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 36
% 2.66/2.91 Current number of rules: 122
% 2.66/2.91 New rule produced :
% 2.66/2.91 [123] A big_hat B <-> implies(truth,not(not(A) big_V not(B)))
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 35
% 2.66/2.91 Current number of rules: 123
% 2.66/2.91 New rule produced :
% 2.66/2.91 [124] implies(truth,not(not(A) big_V not(B))) <-> A big_hat B
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 34
% 2.66/2.91 Current number of rules: 124
% 2.66/2.91 New rule produced :
% 2.66/2.91 [125] implies(truth,implies(implies(A,B),B)) <-> implies(implies(B,A),A)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 33
% 2.66/2.91 Current number of rules: 125
% 2.66/2.91 New rule produced :
% 2.66/2.91 [126] implies(implies(B,A),A) <-> implies(truth,implies(implies(A,B),B))
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 32
% 2.66/2.91 Current number of rules: 126
% 2.66/2.91 New rule produced :
% 2.66/2.91 [127] implies(implies(B,A),A) <-> implies(implies(truth,implies(A,B)),B)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 31
% 2.66/2.91 Current number of rules: 127
% 2.66/2.91 New rule produced :
% 2.66/2.91 [128] implies(implies(truth,implies(A,B)),B) <-> implies(implies(B,A),A)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 30
% 2.66/2.91 Current number of rules: 128
% 2.66/2.91 New rule produced :
% 2.66/2.91 [129] implies(B,A) big_V A <-> implies(implies(implies(A,B),B),A)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 29
% 2.66/2.91 Current number of rules: 129
% 2.66/2.91 New rule produced :
% 2.66/2.91 [130] implies(implies(implies(A,B),B),A) <-> implies(B,A) big_V A
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 28
% 2.66/2.91 Current number of rules: 130
% 2.66/2.91 New rule produced :
% 2.66/2.91 [131] truth <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 27
% 2.66/2.91 Current number of rules: 131
% 2.66/2.91 New rule produced :
% 2.66/2.91 [132] ifeq(ordered(A,A),true,truth big_V A,truth) <-> truth
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 26
% 2.66/2.91 Current number of rules: 132
% 2.66/2.91 New rule produced :
% 2.66/2.91 [133] truth <-> implies(implies(not(A),not(A)),truth big_V A)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 25
% 2.66/2.91 Current number of rules: 133
% 2.66/2.91 New rule produced :
% 2.66/2.91 [134] implies(implies(not(A),not(A)),truth big_V A) <-> truth
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 24
% 2.66/2.91 Current number of rules: 134
% 2.66/2.91 New rule produced :
% 2.66/2.91 [135] true <-> ifeq2(truth big_V A,truth,ordered(A,A),true)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 23
% 2.66/2.91 Current number of rules: 135
% 2.66/2.91 New rule produced :
% 2.66/2.91 [136] ifeq2(truth big_V A,truth,ordered(A,A),true) <-> true
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 22
% 2.66/2.91 Current number of rules: 136
% 2.66/2.91 New rule produced :
% 2.66/2.91 [137] not(not(B) big_V not(C)) <-> ifeq(A,A,B big_hat C,X)
% 2.66/2.91 Current number of equations to process: 94
% 2.66/2.91 Current number of ordered equations: 21
% 2.66/2.91 Current number of rules: 137
% 2.66/2.91 New rule produced :
% 2.66/2.91 [138] ifeq(A,A,B big_hat C,X) <-> not(not(B) big_V not(C))
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 20
% 2.79/3.07 Current number of rules: 138
% 2.79/3.07 New rule produced :
% 2.79/3.07 [139] not(not(B) big_V not(C)) <-> ifeq2(A,A,B big_hat C,X)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 19
% 2.79/3.07 Current number of rules: 139
% 2.79/3.07 New rule produced :
% 2.79/3.07 [140] ifeq2(A,A,B big_hat C,X) <-> not(not(B) big_V not(C))
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 18
% 2.79/3.07 Current number of rules: 140
% 2.79/3.07 New rule produced : [141] B big_V C <-> implies(ifeq(A,A,implies(B,C),X),C)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 17
% 2.79/3.07 Current number of rules: 141
% 2.79/3.07 New rule produced : [142] B big_V C <-> ifeq(A,A,implies(implies(B,C),C),X)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 16
% 2.79/3.07 Current number of rules: 142
% 2.79/3.07 New rule produced : [143] implies(ifeq(A,A,implies(B,C),X),C) <-> B big_V C
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 15
% 2.79/3.07 Current number of rules: 143
% 2.79/3.07 New rule produced : [144] ifeq(A,A,implies(implies(B,C),C),X) <-> B big_V C
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 14
% 2.79/3.07 Current number of rules: 144
% 2.79/3.07 New rule produced : [145] B big_V C <-> implies(ifeq2(A,A,implies(B,C),X),C)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 13
% 2.79/3.07 Current number of rules: 145
% 2.79/3.07 New rule produced : [146] B big_V C <-> ifeq2(A,A,implies(implies(B,C),C),X)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 12
% 2.79/3.07 Current number of rules: 146
% 2.79/3.07 New rule produced : [147] implies(ifeq2(A,A,implies(B,C),X),C) <-> B big_V C
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 11
% 2.79/3.07 Current number of rules: 147
% 2.79/3.07 New rule produced : [148] ifeq2(A,A,implies(implies(B,C),C),X) <-> B big_V C
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 10
% 2.79/3.07 Current number of rules: 148
% 2.79/3.07 New rule produced :
% 2.79/3.07 [149] not((A big_hat B) big_V not(C)) <-> (not(A) big_V not(B)) big_hat C
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 9
% 2.79/3.07 Current number of rules: 149
% 2.79/3.07 New rule produced :
% 2.79/3.07 [150] (not(A) big_V not(B)) big_hat C <-> not((A big_hat B) big_V not(C))
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 8
% 2.79/3.07 Current number of rules: 150
% 2.79/3.07 New rule produced :
% 2.79/3.07 [151] not(implies(implies(not(A),not(B)),not(B))) <-> A big_hat B
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 7
% 2.79/3.07 Current number of rules: 151
% 2.79/3.07 New rule produced :
% 2.79/3.07 [152] A big_hat B <-> not(implies(implies(not(A),not(B)),not(B)))
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 6
% 2.79/3.07 Current number of rules: 152
% 2.79/3.07 New rule produced :
% 2.79/3.07 [153] implies(truth,true) <-> ifeq2(implies(A,B),truth,ordered(A,B),true)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 5
% 2.79/3.07 Current number of rules: 153
% 2.79/3.07 New rule produced :
% 2.79/3.07 [154] ifeq2(implies(A,B),truth,ordered(A,B),true) <-> implies(truth,true)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 4
% 2.79/3.07 Current number of rules: 154
% 2.79/3.07 New rule produced :
% 2.79/3.07 [155] implies(truth,truth) <-> ifeq(ordered(A,B),true,implies(A,B),truth)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 3
% 2.79/3.07 Current number of rules: 155
% 2.79/3.07 New rule produced :
% 2.79/3.07 [156] ifeq(ordered(A,B),true,implies(A,B),truth) <-> implies(truth,truth)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 2
% 2.79/3.07 Current number of rules: 156
% 2.79/3.07 New rule produced :
% 2.79/3.07 [157] implies(truth,truth) <-> implies(implies(not(A),not(B)),implies(B,A))
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 1
% 2.79/3.07 Current number of rules: 157
% 2.79/3.07 New rule produced :
% 2.79/3.07 [158] implies(implies(not(A),not(B)),implies(B,A)) <-> implies(truth,truth)
% 2.79/3.07 Current number of equations to process: 94
% 2.79/3.07 Current number of ordered equations: 0
% 2.79/3.07 Current number of rules: 158
% 2.79/3.07 New rule produced :
% 2.79/3.07 [159] truth <-> implies(implies(implies(implies(A,B),B),A),truth)
% 2.89/3.17 Current number of equations to process: 139
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 159
% 2.89/3.17 New rule produced :
% 2.89/3.17 [160] implies(implies(implies(implies(A,B),B),A),truth) <-> truth
% 2.89/3.17 Current number of equations to process: 139
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 160
% 2.89/3.17 New rule produced :
% 2.89/3.17 [161] truth <-> implies(A,implies(implies(A,B),implies(truth,B)))
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 5
% 2.89/3.17 Current number of rules: 161
% 2.89/3.17 New rule produced :
% 2.89/3.17 [162] truth <-> implies(implies(truth,A),implies(implies(A,B),B))
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 4
% 2.89/3.17 Current number of rules: 162
% 2.89/3.17 New rule produced :
% 2.89/3.17 [163] truth <-> implies(implies(A,truth),implies(B,implies(A,B)))
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 3
% 2.89/3.17 Current number of rules: 163
% 2.89/3.17 New rule produced :
% 2.89/3.17 [164] implies(A,implies(implies(A,B),implies(truth,B))) <-> truth
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 2
% 2.89/3.17 Current number of rules: 164
% 2.89/3.17 New rule produced :
% 2.89/3.17 [165] implies(implies(truth,A),implies(implies(A,B),B)) <-> truth
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 165
% 2.89/3.17 New rule produced :
% 2.89/3.17 [166] implies(implies(A,truth),implies(B,implies(A,B))) <-> truth
% 2.89/3.17 Current number of equations to process: 136
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 166
% 2.89/3.17 New rule produced :
% 2.89/3.17 [167] truth <-> implies(implies(A,A),truth big_V implies(A,B))
% 2.89/3.17 Current number of equations to process: 135
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 167
% 2.89/3.17 New rule produced :
% 2.89/3.17 [168] implies(implies(A,A),truth big_V implies(A,B)) <-> truth
% 2.89/3.17 Current number of equations to process: 135
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 168
% 2.89/3.17 New rule produced : [169] truth <-> implies(implies(A,not(not(A))),truth)
% 2.89/3.17 Current number of equations to process: 140
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 169
% 2.89/3.17 New rule produced : [170] implies(implies(A,not(not(A))),truth) <-> truth
% 2.89/3.17 Current number of equations to process: 140
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 170
% 2.89/3.17 New rule produced : [171] A <-> implies(truth big_V truth,A)
% 2.89/3.17 Current number of equations to process: 146
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 171
% 2.89/3.17 New rule produced : [172] implies(truth big_V truth,A) <-> A
% 2.89/3.17 Current number of equations to process: 146
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 172
% 2.89/3.17 New rule produced : [173] implies(A,A) <-> (truth big_V truth) big_V A
% 2.89/3.17 Current number of equations to process: 149
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 173
% 2.89/3.17 New rule produced : [174] (truth big_V truth) big_V A <-> implies(A,A)
% 2.89/3.17 Current number of equations to process: 149
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 174
% 2.89/3.17 New rule produced : [175] truth big_V truth <-> ifeq(A,A,truth,B)
% 2.89/3.17 Current number of equations to process: 148
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 175
% 2.89/3.17 New rule produced : [176] ifeq(A,A,truth,B) <-> truth big_V truth
% 2.89/3.17 Current number of equations to process: 148
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 176
% 2.89/3.17 New rule produced : [177] truth big_V truth <-> ifeq2(A,A,truth,B)
% 2.89/3.17 Current number of equations to process: 147
% 2.89/3.17 Current number of ordered equations: 1
% 2.89/3.17 Current number of rules: 177
% 2.89/3.17 New rule produced : [178] ifeq2(A,A,truth,B) <-> truth big_V truth
% 2.89/3.17 Current number of equations to process: 147
% 2.89/3.17 Current number of ordered equations: 0
% 2.89/3.17 Current number of rules: 178
% 2.89/3.17 New rule produced : [179] truth <-> truth big_V implies(truth,truth)
% 2.89/3.17 Current number of equations to process: 152
% 2.89/3.17 Current number of ordered equations: 3
% 2.89/3.17 Current number of rules: 179
% 2.89/3.17 New rule produced : [180] truth <-> implies(truth,truth big_V truth)
% 2.89/3.17 Current number of equations to process: 152
% 2.89/3.17 Current number of ordered equations: 2
% 2.89/3.17 Current number of rules: 180
% 2.97/3.20 New rule produced : [181] truth big_V implies(truth,truth) <-> truth
% 2.97/3.20 Current number of equations to process: 152
% 2.97/3.20 Current number of ordered equations: 1
% 2.97/3.20 Current number of rules: 181
% 2.97/3.20 New rule produced : [182] implies(truth,truth big_V truth) <-> truth
% 2.97/3.20 Current number of equations to process: 152
% 2.97/3.20 Current number of ordered equations: 0
% 2.97/3.20 Current number of rules: 182
% 2.97/3.20 Rule [106] (eq)(A,ifeq2(B,B,implies(truth,implies(truth,A)),C)) -> (false) is composed into
% 2.97/3.20 [106] (eq)(A,ifeq2(B,B,implies(truth,implies(truth,A)),C)) -> (true)
% 2.97/3.20 Rule [105] (eq)(A,implies(truth,implies(ifeq2(B,B,truth,C),A))) -> (false) is composed into
% 2.97/3.20 [105] (eq)(A,implies(truth,implies(ifeq2(B,B,truth,C),A))) -> (true)
% 2.97/3.20 Rule [104] (eq)(A,implies(ifeq2(B,B,truth,C),implies(truth,A))) -> (false) is composed into
% 2.97/3.20 [104] (eq)(A,implies(ifeq2(B,B,truth,C),implies(truth,A))) -> (true)
% 2.97/3.20 Rule [103] (eq)(A,implies(truth,ifeq2(B,B,implies(truth,A),C))) -> (false) is composed into
% 2.97/3.20 [103] (eq)(A,implies(truth,ifeq2(B,B,implies(truth,A),C))) -> (true)
% 2.97/3.20 Rule [102] (eq)(A,ifeq(B,B,implies(truth,implies(truth,A)),C)) -> (false) is composed into
% 2.97/3.20 [102] (eq)(A,ifeq(B,B,implies(truth,implies(truth,A)),C)) -> (true)
% 2.97/3.20 Rule [101] (eq)(A,implies(truth,implies(ifeq(B,B,truth,C),A))) -> (false) is composed into
% 2.97/3.20 [101] (eq)(A,implies(truth,implies(ifeq(B,B,truth,C),A))) -> (true)
% 2.97/3.20 Rule [100] (eq)(A,implies(ifeq(B,B,truth,C),implies(truth,A))) -> (false) is composed into
% 2.97/3.20 [100] (eq)(A,implies(ifeq(B,B,truth,C),implies(truth,A))) -> (true)
% 2.97/3.20 Rule [99] (eq)(A,implies(truth,ifeq(B,B,implies(truth,A),C))) -> (false) is composed into
% 2.97/3.20 [99] (eq)(A,implies(truth,ifeq(B,B,implies(truth,A),C))) -> (true)
% 2.97/3.20 Rule [62] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (false) is composed into
% 2.97/3.20 [62] (eq)(A,implies(implies(truth,truth),implies(truth,A))) -> (true)
% 2.97/3.20 Rule [61] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (false) is composed into
% 2.97/3.20 [61] (eq)(A,implies(truth,implies(implies(truth,truth),A))) -> (true)
% 2.97/3.20 Rule [60] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (false) is composed into
% 2.97/3.20 [60] (eq)(A,implies(truth,implies(truth,implies(truth,A)))) -> (true)
% 2.97/3.20 Rule [31] (eq)(truth,implies(truth,truth big_V truth)) -> (false) is composed into
% 2.97/3.20 [31] (eq)(truth,implies(truth,truth big_V truth)) -> (true)
% 2.97/3.20 Rule [26] (eq)(A,implies(truth,A)) -> (false) is composed into [26]
% 2.97/3.20 (eq)(A,
% 2.97/3.20 implies(truth,A))
% 2.97/3.20 -> (true)
% 2.97/3.20 Rule [8] (eq)(A,implies(truth,implies(truth,A))) -> (false) is composed into
% 2.97/3.20 [8] (eq)(A,implies(truth,implies(truth,A))) -> (true)
% 2.97/3.20 New rule produced : [183] (false) -> (true)
% 2.97/3.20 The conjecture has been reduced.
% 2.97/3.20 Conjecture is now:
% 2.97/3.20 Trivial
% 2.97/3.20
% 2.97/3.20 Current number of equations to process: 157
% 2.97/3.20 Current number of ordered equations: 0
% 2.97/3.20 Current number of rules: 183
% 2.97/3.20 The current conjecture is true and the solution is the identity
% 2.97/3.20 % SZS output start Refutation
% 2.97/3.20
% 2.97/3.20 The following 4 rules have been used:
% 2.97/3.20 [3]
% 2.97/3.20 implies(truth,X) <-> X; trace = in the starting set
% 2.97/3.20 [8] (eq)(A,implies(truth,implies(truth,A))) -> (false); trace = in the starting set
% 2.97/3.20 [26] (eq)(A,implies(truth,A)) -> (false); trace = Cp of 8 and 3
% 2.97/3.20 [183] (false) -> (true); trace = Cp of 26 and 3
% 2.97/3.20 The current conjecture A = implies(implies(truth,truth),A)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 implies(truth,implies(truth,A)) = A
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 implies(implies(truth,truth),A) = A
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 implies(truth,A) = ifeq(B,B,A,C)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 ifeq(B,B,A,C) = implies(truth,A)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 implies(truth,A) = ifeq2(B,B,A,C)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 ifeq2(B,B,A,C) = implies(truth,A)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.20 The current conjecture
% 2.97/3.20 implies(A,A) = implies(implies(A,truth),truth)
% 2.97/3.20 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(implies(A,truth),truth) = implies(A,A)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 A big_V B = implies(implies(B,A),A)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(implies(B,A),A) = A big_V B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(A,B) big_V B = implies(A big_V B,B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(A big_V B,B) = implies(A,B) big_V B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq(X,X,B,Y) = ifeq(A,A,B,C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq(A,A,B,C) = ifeq(X,X,B,Y)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture A =
% 2.97/3.22 ifeq(B,B,implies(truth,A),C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture C =
% 2.97/3.22 implies(ifeq(A,A,truth,B),C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(ifeq(A,A,truth,B),C) = C
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq(B,B,implies(truth,A),C) = A
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq2(X,X,B,Y) = ifeq2(A,A,B,C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq2(A,A,B,C) = ifeq2(X,X,B,Y)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture A =
% 2.97/3.22 ifeq2(B,B,implies(truth,A),C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture C =
% 2.97/3.22 implies(ifeq2(A,A,truth,B),C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(ifeq2(A,A,truth,B),C) = C
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq2(B,B,implies(truth,A),C) = A
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq2(X,X,B,Y) = ifeq(A,A,B,C)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq(A,A,B,C) = ifeq2(X,X,B,Y)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture B =
% 2.97/3.22 implies(truth,ifeq(A,A,B,C))
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(truth,ifeq(A,A,B,C)) = B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture B =
% 2.97/3.22 implies(truth,ifeq2(A,A,B,C))
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(truth,ifeq2(A,A,B,C)) = B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(truth,A big_V B) = implies(implies(A,B),B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(implies(A,B),B) = implies(truth,A big_V B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(A,B) big_V B = implies(A big_V B,B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(A big_V B,B) = implies(A,B) big_V B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture truth =
% 2.97/3.22 ifeq(ordered(truth,A),true,A,truth)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq(ordered(truth,A),true,A,truth) = truth
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture true =
% 2.97/3.22 ifeq2(A,truth,ordered(truth,A),true)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 ifeq2(A,truth,ordered(truth,A),true) = true
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 A big_V B = implies(truth,implies(implies(A,B),B))
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 A big_V B = implies(implies(truth,implies(A,B)),B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(truth,implies(implies(A,B),B)) = A big_V B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(implies(truth,implies(A,B)),B) = A big_V B
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 not(not(A) big_V not(B)) = implies(truth,A big_hat B)
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(truth,A big_hat B) = not(not(A) big_V not(B))
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture truth =
% 2.97/3.22 implies(implies(not(X),not(Y)),implies(Y,X))
% 2.97/3.22 is true and the solution is the identity
% 2.97/3.22 The current conjecture
% 2.97/3.22 implies(implies(not(X),not(Y)),implies(Y,X)) = truth
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture C =
% 2.97/3.24 ifeq(A,A,ifeq(B,B,C,X),Y)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq(A,A,ifeq(B,B,C,X),Y) = C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture C =
% 2.97/3.24 ifeq2(A,A,ifeq(B,B,C,X),Y)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq2(A,A,ifeq(B,B,C,X),Y) = C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture C =
% 2.97/3.24 ifeq(A,A,ifeq2(B,B,C,X),Y)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq(A,A,ifeq2(B,B,C,X),Y) = C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture C =
% 2.97/3.24 ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq2(A,A,ifeq2(B,B,C,X),Y) = C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(B,C),C) = ifeq(A,A,B big_V C,X)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq(A,A,B big_V C,X) = implies(implies(B,C),C)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(B,C),C) = ifeq2(A,A,B big_V C,X)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq2(A,A,B big_V C,X) = implies(implies(B,C),C)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 not(implies(truth,not(A) big_V not(B))) = A big_hat B
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 not(not(A) big_V implies(truth,not(B))) = A big_hat B
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 not(not(A) big_V implies(truth,not(B))) = A big_hat B
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 A big_hat B = not(not(A) big_V implies(truth,not(B)))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 A big_hat B = not(implies(truth,not(A) big_V not(B)))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 A big_hat B = not(not(A) big_V implies(truth,not(B)))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 A big_hat B = implies(truth,not(not(A) big_V not(B)))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(truth,not(not(A) big_V not(B))) = A big_hat B
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(truth,implies(implies(A,B),B)) = implies(implies(B,A),A)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(B,A),A) = implies(truth,implies(implies(A,B),B))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(B,A),A) = implies(implies(truth,implies(A,B)),B)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(truth,implies(A,B)),B) = implies(implies(B,A),A)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(B,A) big_V A = implies(implies(implies(A,B),B),A)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(implies(implies(A,B),B),A) = implies(B,A) big_V A
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 not(not(B) big_V not(C)) = ifeq(A,A,B big_hat C,X)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq(A,A,B big_hat C,X) = not(not(B) big_V not(C))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 not(not(B) big_V not(C)) = ifeq2(A,A,B big_hat C,X)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq2(A,A,B big_hat C,X) = not(not(B) big_V not(C))
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 B big_V C = implies(ifeq(A,A,implies(B,C),X),C)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 B big_V C = ifeq(A,A,implies(implies(B,C),C),X)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 implies(ifeq(A,A,implies(B,C),X),C) = B big_V C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 ifeq(A,A,implies(implies(B,C),C),X) = B big_V C
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 B big_V C = implies(ifeq2(A,A,implies(B,C),X),C)
% 2.97/3.24 is true and the solution is the identity
% 2.97/3.24 The current conjecture
% 2.97/3.24 B big_V C = ifeq2(A,A,implies(implies(B,C),C),X)
% 2.97/3.24 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 implies(ifeq2(A,A,implies(B,C),X),C) = B big_V C
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 ifeq2(A,A,implies(implies(B,C),C),X) = B big_V C
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 not((A big_hat B) big_V not(C)) = (not(A) big_V not(B)) big_hat C
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 not((A big_hat B) big_V not(C)) = (not(A) big_V not(B)) big_hat C
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 (not(A) big_V not(B)) big_hat C = not((A big_hat B) big_V not(C))
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 (not(A) big_V not(B)) big_hat C = not((A big_hat B) big_V not(C))
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 not(implies(implies(not(A),not(B)),not(B))) = A big_hat B
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 not(implies(implies(not(A),not(B)),not(B))) = A big_hat B
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 A big_hat B = not(implies(implies(not(A),not(B)),not(B)))
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 A big_hat B = not(implies(implies(not(A),not(B)),not(B)))
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 implies(truth,true) = ifeq2(implies(A,B),truth,ordered(A,B),true)
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 ifeq2(implies(A,B),truth,ordered(A,B),true) = implies(truth,true)
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 implies(truth,truth) = ifeq(ordered(A,B),true,implies(A,B),truth)
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 ifeq(ordered(A,B),true,implies(A,B),truth) = implies(truth,truth)
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34 The current conjecture
% 3.11/3.34 implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth
% 3.11/3.34 is true and the solution is the identity
% 3.11/3.34
% 3.11/3.34 New rule produced :
% 3.11/3.34 [184] (eq)(not(not(A) big_V ifeq(B,B,not(C),X)),A big_hat C) -> (true)
% 3.11/3.34 Current number of equations to process: 148
% 3.11/3.34 Current number of ordered equations: 0
% 3.11/3.34 Current number of rules: 184
% 3.11/3.34 New rule produced : [185] truth <-> truth big_V (truth big_V truth)
% 3.11/3.34 Current number of equations to process: 152
% 3.11/3.34 Current number of ordered equations: 1
% 3.11/3.34 Current number of rules: 185
% 3.11/3.34 New rule produced : [186] truth big_V (truth big_V truth) <-> truth
% 3.11/3.34 Current number of equations to process: 152
% 3.11/3.34 Current number of ordered equations: 0
% 3.11/3.34 Current number of rules: 186
% 3.11/3.34 New rule produced : [187] (eq)(truth,truth big_V truth) -> (true)
% 3.11/3.34 Current number of equations to process: 151
% 3.11/3.34 Current number of ordered equations: 0
% 3.11/3.34 Current number of rules: 187
% 3.11/3.34 New rule produced : [188] truth <-> truth big_V ifeq(A,A,truth,B)
% 3.11/3.34 Current number of equations to process: 192
% 3.11/3.34 Current number of ordered equations: 3
% 3.11/3.34 Current number of rules: 188
% 3.11/3.34 New rule produced : [189] truth <-> ifeq(A,A,truth big_V truth,B)
% 3.11/3.34 Current number of equations to process: 192
% 3.11/3.34 Current number of ordered equations: 2
% 3.11/3.34 Current number of rules: 189
% 3.11/3.34 New rule produced : [190] truth big_V ifeq(A,A,truth,B) <-> truth
% 3.11/3.34 Current number of equations to process: 192
% 3.11/3.34 Current number of ordered equations: 1
% 3.11/3.34 Current number of rules: 190
% 3.11/3.34 New rule produced : [191] ifeq(A,A,truth big_V truth,B) <-> truth
% 3.11/3.34 Current number of equations to process: 192
% 3.11/3.34 Current number of ordered equations: 0
% 3.11/3.34 Current number of rules: 191
% 3.11/3.34 New rule produced : [192] truth <-> truth big_V ifeq2(A,A,truth,B)
% 3.11/3.34 Current number of equations to process: 190
% 3.11/3.34 Current number of ordered equations: 3
% 3.11/3.34 Current number of rules: 192
% 3.11/3.34 New rule produced : [193] truth <-> ifeq2(A,A,truth big_V truth,B)
% 3.11/3.34 Current number of equations to process: 190
% 3.11/3.34 Current number of ordered equations: 2
% 3.11/3.34 Current number of rules: 193
% 3.11/3.34 New rule produced : [194] truth big_V ifeq2(A,A,truth,B) <-> truth
% 3.11/3.34 Current number of equations to process: 190
% 3.11/3.34 Current number of ordered equations: 1
% 3.11/3.34 Current number of rules: 194
% 3.11/3.34 New rule produced : [195] ifeq2(A,A,truth big_V truth,B) <-> truth
% 3.11/3.34 Current number of equations to process: 190
% 3.11/3.34 Current number of ordered equations: 0
% 3.11/3.34 Current number of rules: 195
% 3.35/3.57 New rule produced : [196] (eq)(A,implies(truth big_V truth,A)) -> (true)
% 3.35/3.57 Current number of equations to process: 189
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 196
% 3.35/3.57 New rule produced :
% 3.35/3.57 [197] A <-> implies(truth,implies(truth,implies(truth,A)))
% 3.35/3.57 Current number of equations to process: 187
% 3.35/3.57 Current number of ordered equations: 3
% 3.35/3.57 Current number of rules: 197
% 3.35/3.57 New rule produced :
% 3.35/3.57 [198] A <-> implies(implies(truth,implies(truth,truth)),A)
% 3.35/3.57 Current number of equations to process: 187
% 3.35/3.57 Current number of ordered equations: 2
% 3.35/3.57 Current number of rules: 198
% 3.35/3.57 New rule produced :
% 3.35/3.57 [199] implies(truth,implies(truth,implies(truth,A))) <-> A
% 3.35/3.57 Current number of equations to process: 187
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 199
% 3.35/3.57 New rule produced :
% 3.35/3.57 [200] implies(implies(truth,implies(truth,truth)),A) <-> A
% 3.35/3.57 Current number of equations to process: 187
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 200
% 3.35/3.57 New rule produced : [201] implies(truth,implies(truth,B)) <-> ifeq(A,A,B,C)
% 3.35/3.57 Current number of equations to process: 186
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 201
% 3.35/3.57 New rule produced : [202] ifeq(A,A,B,C) <-> implies(truth,implies(truth,B))
% 3.35/3.57 Current number of equations to process: 186
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 202
% 3.35/3.57 New rule produced : [203] implies(truth,implies(truth,B)) <-> ifeq2(A,A,B,C)
% 3.35/3.57 Current number of equations to process: 185
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 203
% 3.35/3.57 New rule produced : [204] ifeq2(A,A,B,C) <-> implies(truth,implies(truth,B))
% 3.35/3.57 Current number of equations to process: 185
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 204
% 3.35/3.57 New rule produced :
% 3.35/3.57 [205] truth <-> truth big_V implies(truth,implies(truth,truth))
% 3.35/3.57 Current number of equations to process: 232
% 3.35/3.57 Current number of ordered equations: 3
% 3.35/3.57 Current number of rules: 205
% 3.35/3.57 New rule produced :
% 3.35/3.57 [206] truth <-> implies(truth,implies(truth,truth big_V truth))
% 3.35/3.57 Current number of equations to process: 232
% 3.35/3.57 Current number of ordered equations: 2
% 3.35/3.57 Current number of rules: 206
% 3.35/3.57 New rule produced :
% 3.35/3.57 [207] truth big_V implies(truth,implies(truth,truth)) <-> truth
% 3.35/3.57 Current number of equations to process: 232
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 207
% 3.35/3.57 New rule produced :
% 3.35/3.57 [208] implies(truth,implies(truth,truth big_V truth)) <-> truth
% 3.35/3.57 Current number of equations to process: 232
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 208
% 3.35/3.57 New rule produced :
% 3.35/3.57 [209] A <-> implies(implies(truth,truth),implies(truth,A))
% 3.35/3.57 Current number of equations to process: 230
% 3.35/3.57 Current number of ordered equations: 3
% 3.35/3.57 Current number of rules: 209
% 3.35/3.57 New rule produced :
% 3.35/3.57 [210] A <-> implies(implies(implies(truth,truth),truth),A)
% 3.35/3.57 Current number of equations to process: 230
% 3.35/3.57 Current number of ordered equations: 2
% 3.35/3.57 Current number of rules: 210
% 3.35/3.57 New rule produced :
% 3.35/3.57 [211] implies(implies(truth,truth),implies(truth,A)) <-> A
% 3.35/3.57 Current number of equations to process: 230
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 211
% 3.35/3.57 New rule produced :
% 3.35/3.57 [212] implies(implies(implies(truth,truth),truth),A) <-> A
% 3.35/3.57 Current number of equations to process: 230
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 212
% 3.35/3.57 New rule produced : [213] implies(implies(truth,truth),B) <-> ifeq(A,A,B,C)
% 3.35/3.57 Current number of equations to process: 229
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 213
% 3.35/3.57 New rule produced : [214] ifeq(A,A,B,C) <-> implies(implies(truth,truth),B)
% 3.35/3.57 Current number of equations to process: 229
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 214
% 3.35/3.57 New rule produced : [215] implies(implies(truth,truth),B) <-> ifeq2(A,A,B,C)
% 3.35/3.57 Current number of equations to process: 228
% 3.35/3.57 Current number of ordered equations: 1
% 3.35/3.57 Current number of rules: 215
% 3.35/3.57 New rule produced : [216] ifeq2(A,A,B,C) <-> implies(implies(truth,truth),B)
% 3.35/3.57 Current number of equations to process: 228
% 3.35/3.57 Current number of ordered equations: 0
% 3.35/3.57 Current number of rules: 216
% 3.35/3.57 New rule produced :
% 3.35/3.57 [217] truth <-> truth big_V implies(implies(truth,truth),truth)
% 3.35/3.57 Current number of equations to process: 254
% 3.56/3.85 Current number of ordered equations: 3
% 3.56/3.85 Current number of rules: 217
% 3.56/3.85 New rule produced :
% 3.56/3.85 [218] truth <-> implies(implies(truth,truth),truth big_V truth)
% 3.56/3.85 Current number of equations to process: 254
% 3.56/3.85 Current number of ordered equations: 2
% 3.56/3.85 Current number of rules: 218
% 3.56/3.85 New rule produced :
% 3.56/3.85 [219] truth big_V implies(implies(truth,truth),truth) <-> truth
% 3.56/3.85 Current number of equations to process: 254
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 219
% 3.56/3.85 New rule produced :
% 3.56/3.85 [220] implies(implies(truth,truth),truth big_V truth) <-> truth
% 3.56/3.85 Current number of equations to process: 254
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 220
% 3.56/3.85 New rule produced :
% 3.56/3.85 [221] implies(truth,implies(truth,A)) <-> implies(implies(truth,truth),A)
% 3.56/3.85 Current number of equations to process: 253
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 221
% 3.56/3.85 New rule produced :
% 3.56/3.85 [222] implies(implies(truth,truth),A) <-> implies(truth,implies(truth,A))
% 3.56/3.85 Current number of equations to process: 253
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 222
% 3.56/3.85 New rule produced :
% 3.56/3.85 [223] A <-> implies(truth,implies(implies(truth,truth),A))
% 3.56/3.85 Current number of equations to process: 252
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 223
% 3.56/3.85 New rule produced :
% 3.56/3.85 [224] implies(truth,implies(implies(truth,truth),A)) <-> A
% 3.56/3.85 Current number of equations to process: 252
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 224
% 3.56/3.85 New rule produced :
% 3.56/3.85 [225] truth big_V implies(truth,A) <-> implies(A,implies(truth,A))
% 3.56/3.85 Current number of equations to process: 251
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 225
% 3.56/3.85 New rule produced :
% 3.56/3.85 [226] implies(A,implies(truth,A)) <-> truth big_V implies(truth,A)
% 3.56/3.85 Current number of equations to process: 251
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 226
% 3.56/3.85 New rule produced : [227] (eq)(implies(truth,A),A) -> (true)
% 3.56/3.85 Current number of equations to process: 273
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 227
% 3.56/3.85 New rule produced : [228] A <-> implies(truth,implies(truth big_V truth,A))
% 3.56/3.85 Current number of equations to process: 279
% 3.56/3.85 Current number of ordered equations: 3
% 3.56/3.85 Current number of rules: 228
% 3.56/3.85 New rule produced : [229] A <-> implies(truth big_V truth,implies(truth,A))
% 3.56/3.85 Current number of equations to process: 279
% 3.56/3.85 Current number of ordered equations: 2
% 3.56/3.85 Current number of rules: 229
% 3.56/3.85 New rule produced : [230] implies(truth,implies(truth big_V truth,A)) <-> A
% 3.56/3.85 Current number of equations to process: 279
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 230
% 3.56/3.85 New rule produced : [231] implies(truth big_V truth,implies(truth,A)) <-> A
% 3.56/3.85 Current number of equations to process: 279
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 231
% 3.56/3.85 New rule produced :
% 3.56/3.85 [232] truth <-> implies(implies(truth,A),implies(truth,A))
% 3.56/3.85 Current number of equations to process: 313
% 3.56/3.85 Current number of ordered equations: 3
% 3.56/3.85 Current number of rules: 232
% 3.56/3.85 New rule produced :
% 3.56/3.85 [233] truth <-> implies(implies(A,truth),implies(A,truth))
% 3.56/3.85 Current number of equations to process: 313
% 3.56/3.85 Current number of ordered equations: 2
% 3.56/3.85 Current number of rules: 233
% 3.56/3.85 New rule produced :
% 3.56/3.85 [234] implies(implies(truth,A),implies(truth,A)) <-> truth
% 3.56/3.85 Current number of equations to process: 313
% 3.56/3.85 Current number of ordered equations: 1
% 3.56/3.85 Current number of rules: 234
% 3.56/3.85 New rule produced :
% 3.56/3.85 [235] implies(implies(A,truth),implies(A,truth)) <-> truth
% 3.56/3.85 Current number of equations to process: 313
% 3.56/3.85 Current number of ordered equations: 0
% 3.56/3.85 Current number of rules: 235
% 3.56/3.85 New rule produced : [236] A <-> implies(implies(truth,truth big_V truth),A)
% 3.56/3.85 Current number of equations to process: 311
% 3.56/3.85 Current number of ordered equations: 3
% 3.56/3.85 Current number of rules: 236
% 3.56/3.85 New rule produced : [237] A <-> implies(implies(truth big_V truth,truth),A)
% 3.56/3.85 Current number of equations to process: 311
% 3.56/3.85 Current number of ordered equations: 2
% 3.56/3.85 Current number of rules: 237
% 3.56/3.85 New rule produced : [238] implies(implies(truth,truth big_V truth),A) <-> A
% 3.56/3.85 Current number of equations to process: 311
% 3.56/3.85 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 238
% 3.85/4.09 New rule produced : [239] implies(implies(truth big_V truth,truth),A) <-> A
% 3.85/4.09 Current number of equations to process: 311
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 239
% 3.85/4.09 New rule produced :
% 3.85/4.09 [240] implies(truth,implies(truth,truth)) big_V A <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 339
% 3.85/4.09 Current number of ordered equations: 3
% 3.85/4.09 Current number of rules: 240
% 3.85/4.09 New rule produced :
% 3.85/4.09 [241] implies(A,A) <-> implies(truth,implies(truth,truth)) big_V A
% 3.85/4.09 Current number of equations to process: 339
% 3.85/4.09 Current number of ordered equations: 2
% 3.85/4.09 Current number of rules: 241
% 3.85/4.09 New rule produced :
% 3.85/4.09 [242] implies(A,A) <-> implies(truth,implies(truth,truth big_V A))
% 3.85/4.09 Current number of equations to process: 339
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 242
% 3.85/4.09 New rule produced :
% 3.85/4.09 [243] implies(truth,implies(truth,truth big_V A)) <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 339
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 243
% 3.85/4.09 New rule produced :
% 3.85/4.09 [244] truth big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 3.85/4.09 Current number of equations to process: 338
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 244
% 3.85/4.09 New rule produced :
% 3.85/4.09 [245] implies(truth,implies(truth,implies(A,A))) <-> truth big_V A
% 3.85/4.09 Current number of equations to process: 338
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 245
% 3.85/4.09 New rule produced :
% 3.85/4.09 [246] implies(A,A) <-> implies(implies(truth,truth),truth big_V A)
% 3.85/4.09 Current number of equations to process: 336
% 3.85/4.09 Current number of ordered equations: 3
% 3.85/4.09 Current number of rules: 246
% 3.85/4.09 New rule produced :
% 3.85/4.09 [247] implies(A,A) <-> implies(implies(truth,truth),truth) big_V A
% 3.85/4.09 Current number of equations to process: 336
% 3.85/4.09 Current number of ordered equations: 2
% 3.85/4.09 Current number of rules: 247
% 3.85/4.09 New rule produced :
% 3.85/4.09 [248] implies(implies(truth,truth),truth big_V A) <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 336
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 248
% 3.85/4.09 New rule produced :
% 3.85/4.09 [249] implies(implies(truth,truth),truth) big_V A <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 336
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 249
% 3.85/4.09 New rule produced :
% 3.85/4.09 [250] truth big_V A <-> implies(implies(truth,truth),implies(A,A))
% 3.85/4.09 Current number of equations to process: 335
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 250
% 3.85/4.09 New rule produced :
% 3.85/4.09 [251] implies(implies(truth,truth),implies(A,A)) <-> truth big_V A
% 3.85/4.09 Current number of equations to process: 335
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 251
% 3.85/4.09 New rule produced :
% 3.85/4.09 [252] implies(A,A) <-> implies(truth,implies(truth,truth) big_V A)
% 3.85/4.09 Current number of equations to process: 332
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 252
% 3.85/4.09 New rule produced :
% 3.85/4.09 [253] implies(truth,implies(truth,truth) big_V A) <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 332
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 253
% 3.85/4.09 New rule produced :
% 3.85/4.09 [254] implies(truth,truth) big_V A <-> implies(truth,implies(A,A))
% 3.85/4.09 Current number of equations to process: 347
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 254
% 3.85/4.09 New rule produced :
% 3.85/4.09 [255] implies(truth,implies(A,A)) <-> implies(truth,truth) big_V A
% 3.85/4.09 Current number of equations to process: 347
% 3.85/4.09 Current number of ordered equations: 0
% 3.85/4.09 Current number of rules: 255
% 3.85/4.09 New rule produced :
% 3.85/4.09 [256] implies(A,A) <-> implies(truth,truth big_V truth) big_V A
% 3.85/4.09 Current number of equations to process: 349
% 3.85/4.09 Current number of ordered equations: 3
% 3.85/4.09 Current number of rules: 256
% 3.85/4.09 New rule produced :
% 3.85/4.09 [257] implies(A,A) <-> implies(truth big_V truth,truth) big_V A
% 3.85/4.09 Current number of equations to process: 349
% 3.85/4.09 Current number of ordered equations: 2
% 3.85/4.09 Current number of rules: 257
% 3.85/4.09 New rule produced :
% 3.85/4.09 [258] implies(truth,truth big_V truth) big_V A <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 349
% 3.85/4.09 Current number of ordered equations: 1
% 3.85/4.09 Current number of rules: 258
% 3.85/4.09 New rule produced :
% 3.85/4.09 [259] implies(truth big_V truth,truth) big_V A <-> implies(A,A)
% 3.85/4.09 Current number of equations to process: 349
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 259
% 4.16/4.41 New rule produced :
% 4.16/4.41 [260] A big_V A <-> implies(implies(truth,truth) big_V A,A)
% 4.16/4.41 Current number of equations to process: 348
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 260
% 4.16/4.41 New rule produced :
% 4.16/4.41 [261] implies(implies(truth,truth) big_V A,A) <-> A big_V A
% 4.16/4.41 Current number of equations to process: 348
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 261
% 4.16/4.41 New rule produced :
% 4.16/4.41 [262] (eq)(truth,truth big_V implies(truth,truth)) -> (true)
% 4.16/4.41 Current number of equations to process: 362
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 262
% 4.16/4.41 New rule produced :
% 4.16/4.41 [263] truth <-> implies(truth,truth big_V implies(truth,truth))
% 4.16/4.41 Current number of equations to process: 361
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 263
% 4.16/4.41 New rule produced :
% 4.16/4.41 [264] implies(truth,truth big_V implies(truth,truth)) <-> truth
% 4.16/4.41 Current number of equations to process: 361
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 264
% 4.16/4.41 New rule produced : [265] A <-> implies(truth big_V implies(truth,truth),A)
% 4.16/4.41 Current number of equations to process: 360
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 265
% 4.16/4.41 New rule produced : [266] implies(truth big_V implies(truth,truth),A) <-> A
% 4.16/4.41 Current number of equations to process: 360
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 266
% 4.16/4.41 New rule produced :
% 4.16/4.41 [267]
% 4.16/4.41 implies(truth,truth) big_V implies(truth,truth) <-> implies(truth,truth)
% 4.16/4.41 Current number of equations to process: 363
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 267
% 4.16/4.41 New rule produced :
% 4.16/4.41 [268]
% 4.16/4.41 implies(truth,truth) <-> implies(truth,truth) big_V implies(truth,truth)
% 4.16/4.41 Current number of equations to process: 363
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 268
% 4.16/4.41 New rule produced :
% 4.16/4.41 [269] implies(A,A) <-> (truth big_V implies(truth,truth)) big_V A
% 4.16/4.41 Current number of equations to process: 362
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 269
% 4.16/4.41 New rule produced :
% 4.16/4.41 [270] (truth big_V implies(truth,truth)) big_V A <-> implies(A,A)
% 4.16/4.41 Current number of equations to process: 362
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 270
% 4.16/4.41 New rule produced :
% 4.16/4.41 [271] A big_V A <-> implies(implies(truth,truth big_V A),A)
% 4.16/4.41 Current number of equations to process: 361
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 271
% 4.16/4.41 New rule produced :
% 4.16/4.41 [272] implies(implies(truth,truth big_V A),A) <-> A big_V A
% 4.16/4.41 Current number of equations to process: 361
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 272
% 4.16/4.41 New rule produced :
% 4.16/4.41 [273] implies(truth,truth) big_V A <-> implies(truth,truth big_V A)
% 4.16/4.41 Current number of equations to process: 379
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 273
% 4.16/4.41 New rule produced :
% 4.16/4.41 [274] implies(truth,truth big_V A) <-> implies(truth,truth) big_V A
% 4.16/4.41 Current number of equations to process: 379
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 274
% 4.16/4.41 New rule produced :
% 4.16/4.41 [275] implies(A,A) <-> implies(truth,implies(implies(truth,A),A))
% 4.16/4.41 Current number of equations to process: 384
% 4.16/4.41 Current number of ordered equations: 3
% 4.16/4.41 Current number of rules: 275
% 4.16/4.41 New rule produced :
% 4.16/4.41 [276] implies(A,A) <-> implies(truth,implies(implies(A,truth),truth))
% 4.16/4.41 Current number of equations to process: 384
% 4.16/4.41 Current number of ordered equations: 2
% 4.16/4.41 Current number of rules: 276
% 4.16/4.41 New rule produced :
% 4.16/4.41 [277] implies(truth,implies(implies(truth,A),A)) <-> implies(A,A)
% 4.16/4.41 Current number of equations to process: 384
% 4.16/4.41 Current number of ordered equations: 1
% 4.16/4.41 Current number of rules: 277
% 4.16/4.41 New rule produced :
% 4.16/4.41 [278] implies(truth,implies(implies(A,truth),truth)) <-> implies(A,A)
% 4.16/4.41 Current number of equations to process: 384
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 278
% 4.16/4.41 New rule produced : [279] (eq)(truth big_V A,implies(A,A)) -> (true)
% 4.16/4.41 Current number of equations to process: 404
% 4.16/4.41 Current number of ordered equations: 0
% 4.16/4.41 Current number of rules: 279
% 4.16/4.41 New rule produced :
% 4.16/4.41 [280] implies(truth,implies(A,A)) <-> implies(implies(truth,A),A)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 3
% 4.45/4.70 Current number of rules: 280
% 4.45/4.70 New rule produced :
% 4.45/4.70 [281] implies(truth,implies(A,A)) <-> implies(implies(A,truth),truth)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 2
% 4.45/4.70 Current number of rules: 281
% 4.45/4.70 New rule produced :
% 4.45/4.70 [282] implies(implies(truth,A),A) <-> implies(truth,implies(A,A))
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 282
% 4.45/4.70 New rule produced :
% 4.45/4.70 [283] implies(implies(A,truth),truth) <-> implies(truth,implies(A,A))
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 283
% 4.45/4.70 New rule produced :
% 4.45/4.70 [284] implies(A,A) <-> implies(truth,(truth big_V truth) big_V A)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 3
% 4.45/4.70 Current number of rules: 284
% 4.45/4.70 New rule produced :
% 4.45/4.70 [285] implies(A,A) <-> implies(truth big_V truth,truth big_V A)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 2
% 4.45/4.70 Current number of rules: 285
% 4.45/4.70 New rule produced :
% 4.45/4.70 [286] implies(truth,(truth big_V truth) big_V A) <-> implies(A,A)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 286
% 4.45/4.70 New rule produced :
% 4.45/4.70 [287] implies(truth big_V truth,truth big_V A) <-> implies(A,A)
% 4.45/4.70 Current number of equations to process: 402
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 287
% 4.45/4.70 New rule produced :
% 4.45/4.70 [288] implies(truth,implies(A,A)) <-> (truth big_V truth) big_V A
% 4.45/4.70 Current number of equations to process: 415
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 288
% 4.45/4.70 New rule produced :
% 4.45/4.70 [289] (truth big_V truth) big_V A <-> implies(truth,implies(A,A))
% 4.45/4.70 Current number of equations to process: 415
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 289
% 4.45/4.70 New rule produced : [290] (eq)(implies(A,A),truth big_V A) -> (true)
% 4.45/4.70 Current number of equations to process: 439
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 290
% 4.45/4.70 New rule produced :
% 4.45/4.70 [291] truth big_V A <-> implies(truth big_V truth,implies(A,A))
% 4.45/4.70 Current number of equations to process: 443
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 291
% 4.45/4.70 New rule produced :
% 4.45/4.70 [292] implies(truth big_V truth,implies(A,A)) <-> truth big_V A
% 4.45/4.70 Current number of equations to process: 443
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 292
% 4.45/4.70 New rule produced :
% 4.45/4.70 [293] truth big_V A <-> implies(truth,implies(truth,truth) big_V A)
% 4.45/4.70 Current number of equations to process: 442
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 293
% 4.45/4.70 New rule produced :
% 4.45/4.70 [294] implies(truth,implies(truth,truth) big_V A) <-> truth big_V A
% 4.45/4.70 Current number of equations to process: 442
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 294
% 4.45/4.70 New rule produced : [295] truth big_V B <-> implies(ifeq(A,A,B,C),B)
% 4.45/4.70 Current number of equations to process: 441
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 295
% 4.45/4.70 New rule produced : [296] implies(ifeq(A,A,B,C),B) <-> truth big_V B
% 4.45/4.70 Current number of equations to process: 441
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 296
% 4.45/4.70 New rule produced : [297] implies(truth big_V truth,A) <-> ifeq(B,B,A,C)
% 4.45/4.70 Current number of equations to process: 456
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 297
% 4.45/4.70 New rule produced : [298] ifeq(B,B,A,C) <-> implies(truth big_V truth,A)
% 4.45/4.70 Current number of equations to process: 456
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 298
% 4.45/4.70 New rule produced : [299] (eq)(A,ifeq(B,B,A,C)) -> (true)
% 4.45/4.70 Current number of equations to process: 455
% 4.45/4.70 Current number of ordered equations: 0
% 4.45/4.70 Current number of rules: 299
% 4.45/4.70 New rule produced :
% 4.45/4.70 [300] truth big_V implies(truth,truth) <-> ifeq(A,A,truth,B)
% 4.45/4.70 Current number of equations to process: 454
% 4.45/4.70 Current number of ordered equations: 1
% 4.45/4.70 Current number of rules: 300
% 4.45/4.70 New rule produced :
% 4.45/4.70 [301] ifeq(A,A,truth,B) <-> truth big_V implies(truth,truth)
% 4.45/4.70 Current number of equations to process: 454
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 301
% 4.76/5.01 New rule produced :
% 4.76/5.01 [302] implies(truth,truth big_V truth) <-> ifeq(A,A,truth,B)
% 4.76/5.01 Current number of equations to process: 453
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 302
% 4.76/5.01 New rule produced :
% 4.76/5.01 [303] ifeq(A,A,truth,B) <-> implies(truth,truth big_V truth)
% 4.76/5.01 Current number of equations to process: 453
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 303
% 4.76/5.01 New rule produced :
% 4.76/5.01 [304] truth big_V truth <-> implies(truth,ifeq(A,A,truth,B))
% 4.76/5.01 Current number of equations to process: 452
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 304
% 4.76/5.01 New rule produced :
% 4.76/5.01 [305] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V truth
% 4.76/5.01 Current number of equations to process: 452
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 305
% 4.76/5.01 New rule produced : [306] truth big_V B <-> implies(ifeq2(A,A,B,C),B)
% 4.76/5.01 Current number of equations to process: 465
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 306
% 4.76/5.01 New rule produced : [307] implies(ifeq2(A,A,B,C),B) <-> truth big_V B
% 4.76/5.01 Current number of equations to process: 465
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 307
% 4.76/5.01 New rule produced : [308] implies(truth big_V truth,A) <-> ifeq2(B,B,A,C)
% 4.76/5.01 Current number of equations to process: 480
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 308
% 4.76/5.01 New rule produced : [309] ifeq2(B,B,A,C) <-> implies(truth big_V truth,A)
% 4.76/5.01 Current number of equations to process: 480
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 309
% 4.76/5.01 New rule produced : [310] (eq)(A,ifeq2(B,B,A,C)) -> (true)
% 4.76/5.01 Current number of equations to process: 479
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 310
% 4.76/5.01 New rule produced :
% 4.76/5.01 [311] truth big_V implies(truth,truth) <-> ifeq2(A,A,truth,B)
% 4.76/5.01 Current number of equations to process: 478
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 311
% 4.76/5.01 New rule produced :
% 4.76/5.01 [312] ifeq2(A,A,truth,B) <-> truth big_V implies(truth,truth)
% 4.76/5.01 Current number of equations to process: 478
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 312
% 4.76/5.01 New rule produced :
% 4.76/5.01 [313] implies(truth,truth big_V truth) <-> ifeq2(A,A,truth,B)
% 4.76/5.01 Current number of equations to process: 477
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 313
% 4.76/5.01 New rule produced :
% 4.76/5.01 [314] ifeq2(A,A,truth,B) <-> implies(truth,truth big_V truth)
% 4.76/5.01 Current number of equations to process: 477
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 314
% 4.76/5.01 New rule produced :
% 4.76/5.01 [315] truth big_V truth <-> implies(truth,ifeq2(A,A,truth,B))
% 4.76/5.01 Current number of equations to process: 476
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 315
% 4.76/5.01 New rule produced :
% 4.76/5.01 [316] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V truth
% 4.76/5.01 Current number of equations to process: 476
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 316
% 4.76/5.01 New rule produced :
% 4.76/5.01 [317] A big_V A <-> implies(implies(implies(A,truth),truth),A)
% 4.76/5.01 Current number of equations to process: 483
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 317
% 4.76/5.01 New rule produced :
% 4.76/5.01 [318] implies(implies(implies(A,truth),truth),A) <-> A big_V A
% 4.76/5.01 Current number of equations to process: 483
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 318
% 4.76/5.01 New rule produced :
% 4.76/5.01 [319] (eq)(truth,implies(implies(truth,truth),truth)) -> (true)
% 4.76/5.01 Current number of equations to process: 508
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 319
% 4.76/5.01 New rule produced :
% 4.76/5.01 [320] implies(truth,truth) big_V A <-> implies(implies(A,truth),truth)
% 4.76/5.01 Current number of equations to process: 507
% 4.76/5.01 Current number of ordered equations: 1
% 4.76/5.01 Current number of rules: 320
% 4.76/5.01 New rule produced :
% 4.76/5.01 [321] implies(implies(A,truth),truth) <-> implies(truth,truth) big_V A
% 4.76/5.01 Current number of equations to process: 507
% 4.76/5.01 Current number of ordered equations: 0
% 4.76/5.01 Current number of rules: 321
% 4.76/5.01 New rule produced :
% 4.76/5.01 [322] implies(truth,truth big_V A) <-> implies(implies(A,truth),truth)
% 4.76/5.01 Current number of equations to process: 506
% 4.76/5.01 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 322
% 5.07/5.31 New rule produced :
% 5.07/5.31 [323] implies(implies(A,truth),truth) <-> implies(truth,truth big_V A)
% 5.07/5.31 Current number of equations to process: 506
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 323
% 5.07/5.31 New rule produced :
% 5.07/5.31 [324] truth big_V implies(A,truth) <-> implies(implies(A,A),truth)
% 5.07/5.31 Current number of equations to process: 505
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 324
% 5.07/5.31 New rule produced :
% 5.07/5.31 [325] implies(implies(A,A),truth) <-> truth big_V implies(A,truth)
% 5.07/5.31 Current number of equations to process: 505
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 325
% 5.07/5.31 New rule produced :
% 5.07/5.31 [326] truth big_V A <-> implies(truth,implies(implies(A,truth),truth))
% 5.07/5.31 Current number of equations to process: 511
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 326
% 5.07/5.31 New rule produced :
% 5.07/5.31 [327] implies(truth,implies(implies(A,truth),truth)) <-> truth big_V A
% 5.07/5.31 Current number of equations to process: 511
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 327
% 5.07/5.31 New rule produced :
% 5.07/5.31 [328] implies(A,A) <-> implies(implies(A,truth),implies(truth,truth))
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 5
% 5.07/5.31 Current number of rules: 328
% 5.07/5.31 New rule produced :
% 5.07/5.31 [329] implies(A,A) <-> implies(implies(truth,implies(A,truth)),truth)
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 4
% 5.07/5.31 Current number of rules: 329
% 5.07/5.31 New rule produced :
% 5.07/5.31 [330] implies(A,A) <-> implies(implies(A,implies(truth,truth)),truth)
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 3
% 5.07/5.31 Current number of rules: 330
% 5.07/5.31 New rule produced :
% 5.07/5.31 [331] implies(implies(A,truth),implies(truth,truth)) <-> implies(A,A)
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 2
% 5.07/5.31 Current number of rules: 331
% 5.07/5.31 New rule produced :
% 5.07/5.31 [332] implies(implies(truth,implies(A,truth)),truth) <-> implies(A,A)
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 332
% 5.07/5.31 New rule produced :
% 5.07/5.31 [333] implies(implies(A,implies(truth,truth)),truth) <-> implies(A,A)
% 5.07/5.31 Current number of equations to process: 508
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 333
% 5.07/5.31 New rule produced :
% 5.07/5.31 [334] implies(truth,A big_V A) <-> implies(truth big_V A,A)
% 5.07/5.31 Current number of equations to process: 526
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 334
% 5.07/5.31 New rule produced :
% 5.07/5.31 [335] implies(truth big_V A,A) <-> implies(truth,A big_V A)
% 5.07/5.31 Current number of equations to process: 526
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 335
% 5.07/5.31 New rule produced :
% 5.07/5.31 [336] implies(implies(A,truth big_V truth),truth) <-> implies(A,A)
% 5.07/5.31 Current number of equations to process: 524
% 5.07/5.31 Current number of ordered equations: 3
% 5.07/5.31 Current number of rules: 336
% 5.07/5.31 New rule produced :
% 5.07/5.31 [337] implies(A,A) <-> implies(implies(A,truth big_V truth),truth)
% 5.07/5.31 Current number of equations to process: 524
% 5.07/5.31 Current number of ordered equations: 2
% 5.07/5.31 Current number of rules: 337
% 5.07/5.31 New rule produced :
% 5.07/5.31 [338] implies(A,A) <-> implies(implies(A,truth),truth big_V truth)
% 5.07/5.31 Current number of equations to process: 524
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 338
% 5.07/5.31 New rule produced :
% 5.07/5.31 [339] implies(implies(A,truth),truth big_V truth) <-> implies(A,A)
% 5.07/5.31 Current number of equations to process: 524
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 339
% 5.07/5.31 New rule produced : [340] (truth big_V A) big_V A <-> implies(A big_V A,A)
% 5.07/5.31 Current number of equations to process: 536
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 340
% 5.07/5.31 New rule produced : [341] implies(A big_V A,A) <-> (truth big_V A) big_V A
% 5.07/5.31 Current number of equations to process: 536
% 5.07/5.31 Current number of ordered equations: 0
% 5.07/5.31 Current number of rules: 341
% 5.07/5.31 New rule produced :
% 5.07/5.31 [342] A big_V A <-> implies(truth,implies(truth big_V A,A))
% 5.07/5.31 Current number of equations to process: 540
% 5.07/5.31 Current number of ordered equations: 1
% 5.07/5.31 Current number of rules: 342
% 5.07/5.31 New rule produced :
% 5.07/5.31 [343] implies(truth,implies(truth big_V A,A)) <-> A big_V A
% 5.07/5.31 Current number of equations to process: 540
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 343
% 10.52/10.78 New rule produced :
% 10.52/10.78 [344] A big_V A <-> implies(implies(implies(truth,A),A),A)
% 10.52/10.78 Current number of equations to process: 539
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 344
% 10.52/10.78 New rule produced :
% 10.52/10.78 [345] implies(implies(implies(truth,A),A),A) <-> A big_V A
% 10.52/10.78 Current number of equations to process: 539
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 345
% 10.52/10.78 New rule produced :
% 10.52/10.78 [346] implies(truth,A big_V B) <-> implies(implies(B,A),A)
% 10.52/10.78 Rule [322] implies(truth,truth big_V A) <-> implies(implies(A,truth),truth)
% 10.52/10.78 collapsed.
% 10.52/10.78 Current number of equations to process: 553
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 345
% 10.52/10.78 New rule produced :
% 10.52/10.78 [347] implies(implies(B,A),A) <-> implies(truth,A big_V B)
% 10.52/10.78 Rule [323] implies(implies(A,truth),truth) <-> implies(truth,truth big_V A)
% 10.52/10.78 collapsed.
% 10.52/10.78 Current number of equations to process: 553
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 345
% 10.52/10.78 New rule produced :
% 10.52/10.78 [348] implies((truth big_V truth) big_V A,A) <-> A big_V A
% 10.52/10.78 Current number of equations to process: 552
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 346
% 10.52/10.78 New rule produced :
% 10.52/10.78 [349] A big_V A <-> implies((truth big_V truth) big_V A,A)
% 10.52/10.78 Current number of equations to process: 552
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 347
% 10.52/10.78 New rule produced :
% 10.52/10.78 [350] truth big_V truth <-> implies(implies(truth big_V truth,truth),truth)
% 10.52/10.78 Current number of equations to process: 551
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 348
% 10.52/10.78 New rule produced :
% 10.52/10.78 [351] implies(implies(truth big_V truth,truth),truth) <-> truth big_V truth
% 10.52/10.78 Current number of equations to process: 551
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 349
% 10.52/10.78 New rule produced : [352] (eq)(A,implies(implies(truth,truth),A)) -> (true)
% 10.52/10.78 Rule [319] (eq)(truth,implies(implies(truth,truth),truth)) -> (true)
% 10.52/10.78 collapsed.
% 10.52/10.78 Current number of equations to process: 1234
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 349
% 10.52/10.78 New rule produced : [353] (eq)(ifeq(A,A,B,C),B) -> (true)
% 10.52/10.78 Current number of equations to process: 1564
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 350
% 10.52/10.78 New rule produced : [354] (eq)(ifeq2(A,A,B,C),B) -> (true)
% 10.52/10.78 Current number of equations to process: 1732
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 351
% 10.52/10.78 New rule produced :
% 10.52/10.78 [355] implies(truth,A) big_V A <-> implies(implies(A,A),A)
% 10.52/10.78 Current number of equations to process: 1884
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 352
% 10.52/10.78 New rule produced :
% 10.52/10.78 [356] implies(implies(A,A),A) <-> implies(truth,A) big_V A
% 10.52/10.78 Current number of equations to process: 1884
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 353
% 10.52/10.78 New rule produced :
% 10.52/10.78 [357] implies(truth,truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 10.52/10.78 Current number of equations to process: 1928
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 354
% 10.52/10.78 New rule produced :
% 10.52/10.78 [358] ifeq(ordered(truth,A),true,A,truth) <-> implies(truth,truth)
% 10.52/10.78 Current number of equations to process: 1928
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 355
% 10.52/10.78 New rule produced :
% 10.52/10.78 [359] truth big_V truth <-> ifeq(ordered(truth,A),true,A,truth)
% 10.52/10.78 Current number of equations to process: 1993
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 356
% 10.52/10.78 New rule produced :
% 10.52/10.78 [360] ifeq(ordered(truth,A),true,A,truth) <-> truth big_V truth
% 10.52/10.78 Current number of equations to process: 1993
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 357
% 10.52/10.78 New rule produced :
% 10.52/10.78 [361] implies(truth,truth) <-> implies(implies(not(A),not(truth)),A)
% 10.52/10.78 Current number of equations to process: 2050
% 10.52/10.78 Current number of ordered equations: 1
% 10.52/10.78 Current number of rules: 358
% 10.52/10.78 New rule produced :
% 10.52/10.78 [362] implies(implies(not(A),not(truth)),A) <-> implies(truth,truth)
% 10.52/10.78 Current number of equations to process: 2050
% 10.52/10.78 Current number of ordered equations: 0
% 10.52/10.78 Current number of rules: 359
% 10.52/10.78 New rule produced : [363] truth <-> implies(truth big_V not(truth),truth)
% 10.52/10.78 Current number of equations to process: 2114
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 360
% 11.05/11.28 New rule produced : [364] implies(truth big_V not(truth),truth) <-> truth
% 11.05/11.28 Current number of equations to process: 2114
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 361
% 11.05/11.28 New rule produced : [365] truth <-> not(truth) big_V not(not(truth))
% 11.05/11.28 Current number of equations to process: 2115
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 362
% 11.05/11.28 New rule produced : [366] not(truth) big_V not(not(truth)) <-> truth
% 11.05/11.28 Current number of equations to process: 2115
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 363
% 11.05/11.28 New rule produced :
% 11.05/11.28 [367] truth big_V truth <-> implies(implies(not(A),not(truth)),A)
% 11.05/11.28 Current number of equations to process: 2122
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 364
% 11.05/11.28 New rule produced :
% 11.05/11.28 [368] implies(implies(not(A),not(truth)),A) <-> truth big_V truth
% 11.05/11.28 Current number of equations to process: 2122
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 365
% 11.05/11.28 New rule produced :
% 11.05/11.28 [369] implies(truth,A) <-> implies(not(A),not(truth)) big_V A
% 11.05/11.28 Current number of equations to process: 2121
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 366
% 11.05/11.28 New rule produced :
% 11.05/11.28 [370] implies(not(A),not(truth)) big_V A <-> implies(truth,A)
% 11.05/11.28 Current number of equations to process: 2121
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 367
% 11.05/11.28 New rule produced :
% 11.05/11.28 [371] truth <-> implies(not(truth) big_V implies(truth,truth),truth)
% 11.05/11.28 Current number of equations to process: 2182
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 368
% 11.05/11.28 New rule produced :
% 11.05/11.28 [372] implies(not(truth) big_V implies(truth,truth),truth) <-> truth
% 11.05/11.28 Current number of equations to process: 2182
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 369
% 11.05/11.28 New rule produced :
% 11.05/11.28 [373] truth <-> implies(implies(truth,truth big_V not(truth)),truth)
% 11.05/11.28 Current number of equations to process: 2181
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 370
% 11.05/11.28 New rule produced :
% 11.05/11.28 [374] implies(implies(truth,truth big_V not(truth)),truth) <-> truth
% 11.05/11.28 Current number of equations to process: 2181
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 371
% 11.05/11.28 New rule produced :
% 11.05/11.28 [375] truth <-> implies(implies(implies(not(truth),truth),truth),truth)
% 11.05/11.28 Current number of equations to process: 2180
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 372
% 11.05/11.28 New rule produced :
% 11.05/11.28 [376] implies(implies(implies(not(truth),truth),truth),truth) <-> truth
% 11.05/11.28 Current number of equations to process: 2180
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 373
% 11.05/11.28 New rule produced :
% 11.05/11.28 [377] truth <-> implies(truth,not(truth) big_V not(not(truth)))
% 11.05/11.28 Current number of equations to process: 2179
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 374
% 11.05/11.28 New rule produced :
% 11.05/11.28 [378] implies(truth,not(truth) big_V not(not(truth))) <-> truth
% 11.05/11.28 Current number of equations to process: 2179
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 375
% 11.05/11.28 New rule produced :
% 11.05/11.28 [379] implies(truth,true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 11.05/11.28 Current number of equations to process: 2178
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 376
% 11.05/11.28 New rule produced :
% 11.05/11.28 [380] ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth,true)
% 11.05/11.28 Current number of equations to process: 2178
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 377
% 11.05/11.28 New rule produced : [381] true <-> ordered(truth,truth)
% 11.05/11.28 Current number of equations to process: 2202
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 378
% 11.05/11.28 New rule produced : [382] ordered(truth,truth) <-> true
% 11.05/11.28 Current number of equations to process: 2202
% 11.05/11.28 Current number of ordered equations: 0
% 11.05/11.28 Current number of rules: 379
% 11.05/11.28 New rule produced : [383] true <-> implies(truth,ordered(truth,truth))
% 11.05/11.28 Current number of equations to process: 2221
% 11.05/11.28 Current number of ordered equations: 1
% 11.05/11.28 Current number of rules: 380
% 11.05/11.28 New rule produced : [384] implies(truth,ordered(truth,truth)) <-> true
% 11.05/11.28 Current number of equations to process: 2221
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 381
% 11.38/11.59 New rule produced : [385] ordered(truth,truth) <-> implies(truth,true)
% 11.38/11.59 Current number of equations to process: 2253
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 382
% 11.38/11.59 New rule produced : [386] implies(truth,true) <-> ordered(truth,truth)
% 11.38/11.59 Current number of equations to process: 2253
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 383
% 11.38/11.59 New rule produced : [387] true <-> ifeq2(A,A,ordered(truth,truth),B)
% 11.38/11.59 Current number of equations to process: 2257
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 384
% 11.38/11.59 New rule produced : [388] ifeq2(A,A,ordered(truth,truth),B) <-> true
% 11.38/11.59 Current number of equations to process: 2257
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 385
% 11.38/11.59 New rule produced : [389] true <-> ifeq(A,A,ordered(truth,truth),B)
% 11.38/11.59 Current number of equations to process: 2256
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 386
% 11.38/11.59 New rule produced : [390] ifeq(A,A,ordered(truth,truth),B) <-> true
% 11.38/11.59 Current number of equations to process: 2256
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 387
% 11.38/11.59 New rule produced : [391] (eq)(A,ifeq(B,B,implies(truth,A),C)) -> (true)
% 11.38/11.59 Current number of equations to process: 2263
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 388
% 11.38/11.59 New rule produced : [392] (eq)(A,implies(ifeq(B,B,truth,C),A)) -> (true)
% 11.38/11.59 Current number of equations to process: 2263
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 389
% 11.38/11.59 New rule produced : [393] (eq)(A,ifeq2(B,B,implies(truth,A),C)) -> (true)
% 11.38/11.59 Current number of equations to process: 2261
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 390
% 11.38/11.59 New rule produced : [394] (eq)(A,implies(ifeq2(B,B,truth,C),A)) -> (true)
% 11.38/11.59 Current number of equations to process: 2261
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 391
% 11.38/11.59 New rule produced : [395] A <-> implies(truth,implies(truth,ifeq(B,B,A,C)))
% 11.38/11.59 Current number of equations to process: 2260
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 392
% 11.38/11.59 New rule produced : [396] implies(truth,implies(truth,ifeq(B,B,A,C))) <-> A
% 11.38/11.59 Current number of equations to process: 2260
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 393
% 11.38/11.59 New rule produced : [397] A <-> implies(truth,implies(truth,ifeq2(B,B,A,C)))
% 11.38/11.59 Current number of equations to process: 2259
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 394
% 11.38/11.59 New rule produced : [398] implies(truth,implies(truth,ifeq2(B,B,A,C))) <-> A
% 11.38/11.59 Current number of equations to process: 2259
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 395
% 11.38/11.59 New rule produced :
% 11.38/11.59 [399] implies(truth,implies(truth,A big_V B)) <-> implies(implies(A,B),B)
% 11.38/11.59 Current number of equations to process: 2258
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 396
% 11.38/11.59 New rule produced :
% 11.38/11.59 [400] implies(implies(A,B),B) <-> implies(truth,implies(truth,A big_V B))
% 11.38/11.59 Current number of equations to process: 2258
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 397
% 11.38/11.59 New rule produced :
% 11.38/11.59 [401] (eq)(A,implies(implies(truth,implies(truth,truth)),A)) -> (true)
% 11.38/11.59 Current number of equations to process: 2257
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 398
% 11.38/11.59 New rule produced : [402] A <-> implies(implies(truth,truth),ifeq(B,B,A,C))
% 11.38/11.59 Current number of equations to process: 2256
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 399
% 11.38/11.59 New rule produced : [403] implies(implies(truth,truth),ifeq(B,B,A,C)) <-> A
% 11.38/11.59 Current number of equations to process: 2256
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 400
% 11.38/11.59 New rule produced : [404] A <-> implies(implies(truth,truth),ifeq2(B,B,A,C))
% 11.38/11.59 Current number of equations to process: 2255
% 11.38/11.59 Current number of ordered equations: 1
% 11.38/11.59 Current number of rules: 401
% 11.38/11.59 New rule produced : [405] implies(implies(truth,truth),ifeq2(B,B,A,C)) <-> A
% 11.38/11.59 Current number of equations to process: 2255
% 11.38/11.59 Current number of ordered equations: 0
% 11.38/11.59 Current number of rules: 402
% 11.38/11.59 New rule produced :
% 11.38/11.59 [406] implies(implies(A,B),B) <-> implies(implies(truth,truth),A big_V B)
% 11.57/11.83 Current number of equations to process: 2254
% 11.57/11.83 Current number of ordered equations: 1
% 11.57/11.83 Current number of rules: 403
% 11.57/11.83 New rule produced :
% 11.57/11.83 [407] implies(implies(truth,truth),A big_V B) <-> implies(implies(A,B),B)
% 11.57/11.83 Current number of equations to process: 2254
% 11.57/11.83 Current number of ordered equations: 0
% 11.57/11.83 Current number of rules: 404
% 11.57/11.83 New rule produced :
% 11.57/11.83 [408] (eq)(A,implies(implies(implies(truth,truth),truth),A)) -> (true)
% 11.57/11.83 Current number of equations to process: 2253
% 11.57/11.83 Current number of ordered equations: 0
% 11.57/11.83 Current number of rules: 405
% 11.57/11.83 New rule produced : [409] B <-> implies(truth,ifeq(A,A,implies(truth,B),C))
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 7
% 11.57/11.83 Current number of rules: 406
% 11.57/11.83 New rule produced : [410] B <-> ifeq(A,A,implies(truth,implies(truth,B)),C)
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 6
% 11.57/11.83 Current number of rules: 407
% 11.57/11.83 New rule produced : [411] C <-> implies(truth,implies(ifeq(A,A,truth,B),C))
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 5
% 11.57/11.83 Current number of rules: 408
% 11.57/11.83 New rule produced : [412] C <-> implies(ifeq(A,A,truth,B),implies(truth,C))
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 4
% 11.57/11.83 Current number of rules: 409
% 11.57/11.83 New rule produced : [413] implies(truth,implies(ifeq(A,A,truth,B),C)) <-> C
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 3
% 11.57/11.83 Current number of rules: 410
% 11.57/11.83 New rule produced : [414] implies(truth,ifeq(A,A,implies(truth,B),C)) <-> B
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 2
% 11.57/11.83 Current number of rules: 411
% 11.57/11.83 New rule produced : [415] implies(ifeq(A,A,truth,B),implies(truth,C)) <-> C
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 1
% 11.57/11.83 Current number of rules: 412
% 11.57/11.83 New rule produced : [416] ifeq(A,A,implies(truth,implies(truth,B)),C) <-> B
% 11.57/11.83 Current number of equations to process: 2249
% 11.57/11.83 Current number of ordered equations: 0
% 11.57/11.83 Current number of rules: 413
% 11.57/11.83 New rule produced : [417] B <-> implies(truth,ifeq2(A,A,implies(truth,B),C))
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 7
% 11.57/11.83 Current number of rules: 414
% 11.57/11.83 New rule produced : [418] B <-> ifeq2(A,A,implies(truth,implies(truth,B)),C)
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 6
% 11.57/11.83 Current number of rules: 415
% 11.57/11.83 New rule produced : [419] C <-> implies(truth,implies(ifeq2(A,A,truth,B),C))
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 5
% 11.57/11.83 Current number of rules: 416
% 11.57/11.83 New rule produced : [420] C <-> implies(ifeq2(A,A,truth,B),implies(truth,C))
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 4
% 11.57/11.83 Current number of rules: 417
% 11.57/11.83 New rule produced : [421] implies(truth,implies(ifeq2(A,A,truth,B),C)) <-> C
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 3
% 11.57/11.83 Current number of rules: 418
% 11.57/11.83 New rule produced : [422] implies(truth,ifeq2(A,A,implies(truth,B),C)) <-> B
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 2
% 11.57/11.83 Current number of rules: 419
% 11.57/11.83 New rule produced : [423] implies(ifeq2(A,A,truth,B),implies(truth,C)) <-> C
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 1
% 11.57/11.83 Current number of rules: 420
% 11.57/11.83 New rule produced : [424] ifeq2(A,A,implies(truth,implies(truth,B)),C) <-> B
% 11.57/11.83 Current number of equations to process: 2245
% 11.57/11.83 Current number of ordered equations: 0
% 11.57/11.83 Current number of rules: 421
% 11.57/11.83 New rule produced :
% 11.57/11.83 [425]
% 11.57/11.83 implies(A,implies(truth,A)) <->
% 11.57/11.83 implies(implies(implies(truth,A),truth),truth)
% 11.57/11.83 Current number of equations to process: 2244
% 11.57/11.83 Current number of ordered equations: 1
% 11.57/11.83 Current number of rules: 422
% 11.57/11.83 New rule produced :
% 11.57/11.83 [426]
% 11.57/11.83 implies(implies(implies(truth,A),truth),truth) <->
% 11.57/11.83 implies(A,implies(truth,A))
% 11.57/11.83 Current number of equations to process: 2244
% 11.57/11.83 Current number of ordered equations: 0
% 11.57/11.83 Current number of rules: 423
% 11.57/11.83 New rule produced :
% 11.57/11.83 [427] truth <-> ifeq(ordered(truth,implies(truth,A)),true,A,truth)
% 11.80/12.06 Current number of equations to process: 2243
% 11.80/12.06 Current number of ordered equations: 1
% 11.80/12.06 Current number of rules: 424
% 11.80/12.06 New rule produced :
% 11.80/12.06 [428] ifeq(ordered(truth,implies(truth,A)),true,A,truth) <-> truth
% 11.80/12.06 Current number of equations to process: 2243
% 11.80/12.06 Current number of ordered equations: 0
% 11.80/12.06 Current number of rules: 425
% 11.80/12.06 New rule produced :
% 11.80/12.06 [429] truth <-> implies(implies(not(implies(truth,A)),not(truth)),A)
% 11.80/12.06 Current number of equations to process: 2242
% 11.80/12.06 Current number of ordered equations: 1
% 11.80/12.06 Current number of rules: 426
% 11.80/12.06 New rule produced :
% 11.80/12.06 [430] implies(implies(not(implies(truth,A)),not(truth)),A) <-> truth
% 11.80/12.06 Current number of equations to process: 2242
% 11.80/12.06 Current number of ordered equations: 0
% 11.80/12.06 Current number of rules: 427
% 11.80/12.06 New rule produced :
% 11.80/12.06 [431] true <-> ifeq2(A,truth,ordered(truth,implies(truth,A)),true)
% 11.80/12.06 Current number of equations to process: 2241
% 11.80/12.06 Current number of ordered equations: 1
% 11.80/12.06 Current number of rules: 428
% 11.80/12.06 New rule produced :
% 11.80/12.06 [432] ifeq2(A,truth,ordered(truth,implies(truth,A)),true) <-> true
% 11.80/12.06 Current number of equations to process: 2241
% 11.80/12.06 Current number of ordered equations: 0
% 11.80/12.06 Current number of rules: 429
% 11.80/12.06 New rule produced :
% 11.80/12.06 [433] A <-> implies(truth,implies(truth,implies(truth,implies(truth,A))))
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 5
% 11.80/12.06 Current number of rules: 430
% 11.80/12.06 New rule produced :
% 11.80/12.06 [434] A <-> implies(truth,implies(implies(truth,implies(truth,truth)),A))
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 4
% 11.80/12.06 Current number of rules: 431
% 11.80/12.06 New rule produced :
% 11.80/12.06 [435] A <-> implies(implies(truth,implies(truth,truth)),implies(truth,A))
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 3
% 11.80/12.06 Current number of rules: 432
% 11.80/12.06 New rule produced :
% 11.80/12.06 [436] implies(truth,implies(truth,implies(truth,implies(truth,A)))) <-> A
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 2
% 11.80/12.06 Current number of rules: 433
% 11.80/12.06 New rule produced :
% 11.80/12.06 [437] implies(truth,implies(implies(truth,implies(truth,truth)),A)) <-> A
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 1
% 11.80/12.06 Current number of rules: 434
% 11.80/12.06 New rule produced :
% 11.80/12.06 [438] implies(implies(truth,implies(truth,truth)),implies(truth,A)) <-> A
% 11.80/12.06 Current number of equations to process: 2238
% 11.80/12.06 Current number of ordered equations: 0
% 11.80/12.06 Current number of rules: 435
% 11.80/12.06 New rule produced :
% 11.80/12.06 [439] A <-> implies(truth,implies(implies(truth,truth),implies(truth,A)))
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 7
% 11.80/12.06 Current number of rules: 436
% 11.80/12.06 New rule produced :
% 11.80/12.06 [440] A <-> implies(truth,implies(implies(implies(truth,truth),truth),A))
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 6
% 11.80/12.06 Current number of rules: 437
% 11.80/12.06 New rule produced :
% 11.80/12.06 [441] A <-> implies(implies(truth,truth),implies(truth,implies(truth,A)))
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 5
% 11.80/12.06 Current number of rules: 438
% 11.80/12.06 New rule produced :
% 11.80/12.06 [442] A <-> implies(implies(implies(truth,truth),truth),implies(truth,A))
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 4
% 11.80/12.06 Current number of rules: 439
% 11.80/12.06 New rule produced :
% 11.80/12.06 [443] implies(truth,implies(implies(truth,truth),implies(truth,A))) <-> A
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 3
% 11.80/12.06 Current number of rules: 440
% 11.80/12.06 New rule produced :
% 11.80/12.06 [444] implies(truth,implies(implies(implies(truth,truth),truth),A)) <-> A
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 2
% 11.80/12.06 Current number of rules: 441
% 11.80/12.06 New rule produced :
% 11.80/12.06 [445] implies(implies(truth,truth),implies(truth,implies(truth,A))) <-> A
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 1
% 11.80/12.06 Current number of rules: 442
% 11.80/12.06 New rule produced :
% 11.80/12.06 [446] implies(implies(implies(truth,truth),truth),implies(truth,A)) <-> A
% 11.80/12.06 Current number of equations to process: 2234
% 11.80/12.06 Current number of ordered equations: 0
% 11.80/12.06 Current number of rules: 443
% 11.80/12.06 New rule produced : [447] B <-> ifeq(A,A,implies(implies(truth,truth),B),C)
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 7
% 12.09/12.33 Current number of rules: 444
% 12.09/12.33 New rule produced : [448] C <-> implies(implies(truth,ifeq(A,A,truth,B)),C)
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 6
% 12.09/12.33 Current number of rules: 445
% 12.09/12.33 New rule produced : [449] C <-> implies(implies(ifeq(A,A,truth,B),truth),C)
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 5
% 12.09/12.33 Current number of rules: 446
% 12.09/12.33 New rule produced : [450] C <-> implies(ifeq(A,A,implies(truth,truth),B),C)
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 4
% 12.09/12.33 Current number of rules: 447
% 12.09/12.33 New rule produced : [451] implies(implies(truth,ifeq(A,A,truth,B)),C) <-> C
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 3
% 12.09/12.33 Current number of rules: 448
% 12.09/12.33 New rule produced : [452] implies(implies(ifeq(A,A,truth,B),truth),C) <-> C
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 2
% 12.09/12.33 Current number of rules: 449
% 12.09/12.33 New rule produced : [453] implies(ifeq(A,A,implies(truth,truth),B),C) <-> C
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 1
% 12.09/12.33 Current number of rules: 450
% 12.09/12.33 New rule produced : [454] ifeq(A,A,implies(implies(truth,truth),B),C) <-> B
% 12.09/12.33 Current number of equations to process: 2230
% 12.09/12.33 Current number of ordered equations: 0
% 12.09/12.33 Current number of rules: 451
% 12.09/12.33 New rule produced : [455] B <-> ifeq2(A,A,implies(implies(truth,truth),B),C)
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 7
% 12.09/12.33 Current number of rules: 452
% 12.09/12.33 New rule produced : [456] C <-> implies(implies(truth,ifeq2(A,A,truth,B)),C)
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 6
% 12.09/12.33 Current number of rules: 453
% 12.09/12.33 New rule produced : [457] C <-> implies(implies(ifeq2(A,A,truth,B),truth),C)
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 5
% 12.09/12.33 Current number of rules: 454
% 12.09/12.33 New rule produced : [458] C <-> implies(ifeq2(A,A,implies(truth,truth),B),C)
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 4
% 12.09/12.33 Current number of rules: 455
% 12.09/12.33 New rule produced : [459] implies(implies(truth,ifeq2(A,A,truth,B)),C) <-> C
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 3
% 12.09/12.33 Current number of rules: 456
% 12.09/12.33 New rule produced : [460] implies(implies(ifeq2(A,A,truth,B),truth),C) <-> C
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 2
% 12.09/12.33 Current number of rules: 457
% 12.09/12.33 New rule produced : [461] implies(ifeq2(A,A,implies(truth,truth),B),C) <-> C
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 1
% 12.09/12.33 Current number of rules: 458
% 12.09/12.33 New rule produced : [462] ifeq2(A,A,implies(implies(truth,truth),B),C) <-> B
% 12.09/12.33 Current number of equations to process: 2226
% 12.09/12.33 Current number of ordered equations: 0
% 12.09/12.33 Current number of rules: 459
% 12.09/12.33 New rule produced :
% 12.09/12.33 [463] truth <-> ifeq(ordered(implies(truth,truth),A),true,A,truth)
% 12.09/12.33 Current number of equations to process: 2225
% 12.09/12.33 Current number of ordered equations: 1
% 12.09/12.33 Current number of rules: 460
% 12.09/12.33 New rule produced :
% 12.09/12.33 [464] ifeq(ordered(implies(truth,truth),A),true,A,truth) <-> truth
% 12.09/12.33 Current number of equations to process: 2225
% 12.09/12.33 Current number of ordered equations: 0
% 12.09/12.33 Current number of rules: 461
% 12.09/12.33 New rule produced :
% 12.09/12.33 [465] truth <-> implies(implies(not(A),not(implies(truth,truth))),A)
% 12.09/12.33 Current number of equations to process: 2224
% 12.09/12.33 Current number of ordered equations: 1
% 12.09/12.33 Current number of rules: 462
% 12.09/12.33 New rule produced :
% 12.09/12.33 [466] implies(implies(not(A),not(implies(truth,truth))),A) <-> truth
% 12.09/12.33 Current number of equations to process: 2224
% 12.09/12.33 Current number of ordered equations: 0
% 12.09/12.33 Current number of rules: 463
% 12.09/12.33 New rule produced :
% 12.09/12.33 [467] true <-> ifeq2(A,truth,ordered(implies(truth,truth),A),true)
% 12.09/12.33 Current number of equations to process: 2223
% 12.09/12.33 Current number of ordered equations: 1
% 12.09/12.33 Current number of rules: 464
% 12.09/12.33 New rule produced :
% 12.09/12.33 [468] ifeq2(A,truth,ordered(implies(truth,truth),A),true) <-> true
% 12.09/12.33 Current number of equations to process: 2223
% 12.31/12.59 Current number of ordered equations: 0
% 12.31/12.59 Current number of rules: 465
% 12.31/12.59 New rule produced :
% 12.31/12.59 [469] A <-> implies(truth,implies(truth,implies(implies(truth,truth),A)))
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 5
% 12.31/12.59 Current number of rules: 466
% 12.31/12.59 New rule produced :
% 12.31/12.59 [470] A <-> implies(implies(truth,implies(truth,implies(truth,truth))),A)
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 4
% 12.31/12.59 Current number of rules: 467
% 12.31/12.59 New rule produced :
% 12.31/12.59 [471] A <-> implies(implies(implies(truth,implies(truth,truth)),truth),A)
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 3
% 12.31/12.59 Current number of rules: 468
% 12.31/12.59 New rule produced :
% 12.31/12.59 [472] implies(truth,implies(truth,implies(implies(truth,truth),A))) <-> A
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 2
% 12.31/12.59 Current number of rules: 469
% 12.31/12.59 New rule produced :
% 12.31/12.59 [473] implies(implies(truth,implies(truth,implies(truth,truth))),A) <-> A
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 1
% 12.31/12.59 Current number of rules: 470
% 12.31/12.59 New rule produced :
% 12.31/12.59 [474] implies(implies(implies(truth,implies(truth,truth)),truth),A) <-> A
% 12.31/12.59 Current number of equations to process: 2220
% 12.31/12.59 Current number of ordered equations: 0
% 12.31/12.59 Current number of rules: 471
% 12.31/12.59 New rule produced :
% 12.31/12.59 [475] A <-> implies(implies(implies(implies(truth,truth),truth),truth),A)
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 7
% 12.31/12.59 Current number of rules: 472
% 12.31/12.59 New rule produced :
% 12.31/12.59 [476] A <-> implies(implies(truth,truth),implies(implies(truth,truth),A))
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 6
% 12.31/12.59 Current number of rules: 473
% 12.31/12.59 New rule produced :
% 12.31/12.59 [477] A <-> implies(implies(implies(truth,truth),implies(truth,truth)),A)
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 5
% 12.31/12.59 Current number of rules: 474
% 12.31/12.59 New rule produced :
% 12.31/12.59 [478] A <-> implies(implies(truth,implies(implies(truth,truth),truth)),A)
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 4
% 12.31/12.59 Current number of rules: 475
% 12.31/12.59 New rule produced :
% 12.31/12.59 [479] implies(implies(implies(implies(truth,truth),truth),truth),A) <-> A
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 3
% 12.31/12.59 Current number of rules: 476
% 12.31/12.59 New rule produced :
% 12.31/12.59 [480] implies(implies(truth,truth),implies(implies(truth,truth),A)) <-> A
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 2
% 12.31/12.59 Current number of rules: 477
% 12.31/12.59 New rule produced :
% 12.31/12.59 [481] implies(implies(implies(truth,truth),implies(truth,truth)),A) <-> A
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 1
% 12.31/12.59 Current number of rules: 478
% 12.31/12.59 New rule produced :
% 12.31/12.59 [482] implies(implies(truth,implies(implies(truth,truth),truth)),A) <-> A
% 12.31/12.59 Current number of equations to process: 2216
% 12.31/12.59 Current number of ordered equations: 0
% 12.31/12.59 Current number of rules: 479
% 12.31/12.59 New rule produced :
% 12.31/12.59 [483] (eq)(truth,implies(truth,implies(truth,truth big_V truth))) -> (true)
% 12.31/12.59 Current number of equations to process: 2212
% 12.31/12.59 Current number of ordered equations: 3
% 12.31/12.59 Current number of rules: 480
% 12.31/12.59 New rule produced :
% 12.31/12.59 [484] (eq)(truth,implies(implies(truth,truth),truth big_V truth)) -> (true)
% 12.31/12.59 Current number of equations to process: 2212
% 12.31/12.59 Current number of ordered equations: 2
% 12.31/12.59 Current number of rules: 481
% 12.31/12.59 New rule produced :
% 12.31/12.59 [485] (eq)(truth,implies(truth,truth big_V implies(truth,truth))) -> (true)
% 12.31/12.59 Current number of equations to process: 2212
% 12.31/12.59 Current number of ordered equations: 1
% 12.31/12.59 Current number of rules: 482
% 12.31/12.59 New rule produced :
% 12.31/12.59 [486] (eq)(implies(truth,truth),implies(truth,truth big_V truth)) -> (true)
% 12.31/12.59 Current number of equations to process: 2212
% 12.31/12.59 Current number of ordered equations: 0
% 12.31/12.59 Current number of rules: 483
% 12.31/12.59 New rule produced :
% 12.31/12.59 [487] (eq)(truth,implies(truth big_V truth,truth big_V truth)) -> (true)
% 12.31/12.59 Current number of equations to process: 2210
% 12.31/12.59 Current number of ordered equations: 1
% 12.31/12.59 Current number of rules: 484
% 12.31/12.59 New rule produced :
% 12.31/12.59 [488] (eq)(truth,implies(truth,truth big_V (truth big_V truth))) -> (true)
% 12.49/12.76 Current number of equations to process: 2210
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 485
% 12.49/12.76 New rule produced :
% 12.49/12.76 [489] implies(truth,truth) big_V B <-> ifeq(A,A,implies(B,B),C)
% 12.49/12.76 Current number of equations to process: 2209
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 486
% 12.49/12.76 New rule produced :
% 12.49/12.76 [490] ifeq(A,A,implies(B,B),C) <-> implies(truth,truth) big_V B
% 12.49/12.76 Current number of equations to process: 2209
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 487
% 12.49/12.76 New rule produced :
% 12.49/12.76 [491] implies(truth,truth) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 12.49/12.76 Current number of equations to process: 2208
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 488
% 12.49/12.76 New rule produced :
% 12.49/12.76 [492] ifeq2(A,A,implies(B,B),C) <-> implies(truth,truth) big_V B
% 12.49/12.76 Current number of equations to process: 2208
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 489
% 12.49/12.76 New rule produced :
% 12.49/12.76 [493]
% 12.49/12.76 implies(truth,truth) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 12.49/12.76 Current number of equations to process: 2206
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 490
% 12.49/12.76 New rule produced :
% 12.49/12.76 [494]
% 12.49/12.76 implies(truth,implies(truth,implies(A,A))) <-> implies(truth,truth) big_V A
% 12.49/12.76 Current number of equations to process: 2206
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 491
% 12.49/12.76 New rule produced :
% 12.49/12.76 [495]
% 12.49/12.76 implies(truth,truth) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 12.49/12.76 Current number of equations to process: 2205
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 492
% 12.49/12.76 New rule produced :
% 12.49/12.76 [496]
% 12.49/12.76 implies(implies(truth,truth),implies(A,A)) <-> implies(truth,truth) big_V A
% 12.49/12.76 Current number of equations to process: 2205
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 493
% 12.49/12.76 New rule produced :
% 12.49/12.76 [497] implies(truth,truth big_V B) <-> ifeq(A,A,implies(B,B),C)
% 12.49/12.76 Current number of equations to process: 2204
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 494
% 12.49/12.76 New rule produced :
% 12.49/12.76 [498] ifeq(A,A,implies(B,B),C) <-> implies(truth,truth big_V B)
% 12.49/12.76 Current number of equations to process: 2204
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 495
% 12.49/12.76 New rule produced :
% 12.49/12.76 [499] implies(truth,truth big_V B) <-> ifeq2(A,A,implies(B,B),C)
% 12.49/12.76 Current number of equations to process: 2203
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 496
% 12.49/12.76 New rule produced :
% 12.49/12.76 [500] ifeq2(A,A,implies(B,B),C) <-> implies(truth,truth big_V B)
% 12.49/12.76 Current number of equations to process: 2203
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 497
% 12.49/12.76 New rule produced :
% 12.49/12.76 [501]
% 12.49/12.76 implies(truth,truth big_V A) <-> implies(implies(truth,truth),implies(A,A))
% 12.49/12.76 Current number of equations to process: 2201
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 498
% 12.49/12.76 New rule produced :
% 12.49/12.76 [502]
% 12.49/12.76 implies(implies(truth,truth),implies(A,A)) <-> implies(truth,truth big_V A)
% 12.49/12.76 Current number of equations to process: 2201
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 499
% 12.49/12.76 New rule produced :
% 12.49/12.76 [503] (eq)(truth big_V A,implies(truth,implies(A,A))) -> (true)
% 12.49/12.76 Current number of equations to process: 2200
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 500
% 12.49/12.76 New rule produced :
% 12.49/12.76 [504] truth big_V (truth big_V A) <-> implies(implies(A,A),truth big_V A)
% 12.49/12.76 Current number of equations to process: 2199
% 12.49/12.76 Current number of ordered equations: 1
% 12.49/12.76 Current number of rules: 501
% 12.49/12.76 New rule produced :
% 12.49/12.76 [505] implies(implies(A,A),truth big_V A) <-> truth big_V (truth big_V A)
% 12.49/12.76 Current number of equations to process: 2199
% 12.49/12.76 Current number of ordered equations: 0
% 12.49/12.76 Current number of rules: 502
% 12.49/12.76 New rule produced :
% 12.49/12.76 [506] implies(truth,implies(B,B)) <-> ifeq(A,A,truth big_V B,C)
% 12.49/12.76 Current number of equations to process: 2197
% 12.49/12.76 Current number of ordered equations: 3
% 12.49/12.76 Current number of rules: 503
% 12.49/12.76 New rule produced :
% 12.49/12.76 [507] implies(truth,implies(C,C)) <-> ifeq(A,A,truth,B) big_V C
% 12.49/12.76 Current number of equations to process: 2197
% 12.49/12.76 Current number of ordered equations: 2
% 12.49/12.76 Current number of rules: 504
% 12.49/12.76 New rule produced :
% 12.49/12.76 [508] ifeq(A,A,truth,B) big_V C <-> implies(truth,implies(C,C))
% 12.71/12.94 Current number of equations to process: 2197
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 505
% 12.71/12.94 New rule produced :
% 12.71/12.94 [509] ifeq(A,A,truth big_V B,C) <-> implies(truth,implies(B,B))
% 12.71/12.94 Current number of equations to process: 2197
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 506
% 12.71/12.94 New rule produced :
% 12.71/12.94 [510] implies(truth,implies(B,B)) <-> ifeq2(A,A,truth big_V B,C)
% 12.71/12.94 Current number of equations to process: 2195
% 12.71/12.94 Current number of ordered equations: 3
% 12.71/12.94 Current number of rules: 507
% 12.71/12.94 New rule produced :
% 12.71/12.94 [511] implies(truth,implies(C,C)) <-> ifeq2(A,A,truth,B) big_V C
% 12.71/12.94 Current number of equations to process: 2195
% 12.71/12.94 Current number of ordered equations: 2
% 12.71/12.94 Current number of rules: 508
% 12.71/12.94 New rule produced :
% 12.71/12.94 [512] ifeq2(A,A,truth,B) big_V C <-> implies(truth,implies(C,C))
% 12.71/12.94 Current number of equations to process: 2195
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 509
% 12.71/12.94 New rule produced :
% 12.71/12.94 [513] ifeq2(A,A,truth big_V B,C) <-> implies(truth,implies(B,B))
% 12.71/12.94 Current number of equations to process: 2195
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 510
% 12.71/12.94 New rule produced :
% 12.71/12.94 [514]
% 12.71/12.94 implies(truth,implies(truth,truth)) big_V A <-> implies(truth,implies(A,A))
% 12.71/12.94 Current number of equations to process: 2194
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 511
% 12.71/12.94 New rule produced :
% 12.71/12.94 [515]
% 12.71/12.94 implies(truth,implies(A,A)) <-> implies(truth,implies(truth,truth)) big_V A
% 12.71/12.94 Current number of equations to process: 2194
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 512
% 12.71/12.94 New rule produced :
% 12.71/12.94 [516]
% 12.71/12.94 implies(truth,implies(A,A)) <-> implies(implies(truth,truth),truth big_V A)
% 12.71/12.94 Current number of equations to process: 2192
% 12.71/12.94 Current number of ordered equations: 3
% 12.71/12.94 Current number of rules: 513
% 12.71/12.94 New rule produced :
% 12.71/12.94 [517]
% 12.71/12.94 implies(truth,implies(A,A)) <-> implies(implies(truth,truth),truth) big_V A
% 12.71/12.94 Current number of equations to process: 2192
% 12.71/12.94 Current number of ordered equations: 2
% 12.71/12.94 Current number of rules: 514
% 12.71/12.94 New rule produced :
% 12.71/12.94 [518]
% 12.71/12.94 implies(implies(truth,truth),truth big_V A) <-> implies(truth,implies(A,A))
% 12.71/12.94 Current number of equations to process: 2192
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 515
% 12.71/12.94 New rule produced :
% 12.71/12.94 [519]
% 12.71/12.94 implies(implies(truth,truth),truth) big_V A <-> implies(truth,implies(A,A))
% 12.71/12.94 Current number of equations to process: 2192
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 516
% 12.71/12.94 New rule produced :
% 12.71/12.94 [520] (eq)(implies(A,A),implies(truth,truth big_V A)) -> (true)
% 12.71/12.94 Rule
% 12.71/12.94 [486] (eq)(implies(truth,truth),implies(truth,truth big_V truth)) -> (true)
% 12.71/12.94 collapsed.
% 12.71/12.94 Current number of equations to process: 2191
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 516
% 12.71/12.94 New rule produced :
% 12.71/12.94 [521] truth big_V implies(A,A) <-> implies(truth big_V A,implies(A,A))
% 12.71/12.94 Current number of equations to process: 2190
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 517
% 12.71/12.94 New rule produced :
% 12.71/12.94 [522] implies(truth big_V A,implies(A,A)) <-> truth big_V implies(A,A)
% 12.71/12.94 Current number of equations to process: 2190
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 518
% 12.71/12.94 New rule produced : [523] implies(ifeq(A,A,truth,B),C) <-> ifeq(X,X,C,Y)
% 12.71/12.94 Current number of equations to process: 2188
% 12.71/12.94 Current number of ordered equations: 3
% 12.71/12.94 Current number of rules: 519
% 12.71/12.94 New rule produced : [524] ifeq(X,X,B,Y) <-> ifeq(A,A,implies(truth,B),C)
% 12.71/12.94 Current number of equations to process: 2188
% 12.71/12.94 Current number of ordered equations: 2
% 12.71/12.94 Current number of rules: 520
% 12.71/12.94 New rule produced : [525] ifeq(X,X,C,Y) <-> implies(ifeq(A,A,truth,B),C)
% 12.71/12.94 Current number of equations to process: 2188
% 12.71/12.94 Current number of ordered equations: 1
% 12.71/12.94 Current number of rules: 521
% 12.71/12.94 New rule produced : [526] ifeq(A,A,implies(truth,B),C) <-> ifeq(X,X,B,Y)
% 12.71/12.94 Current number of equations to process: 2188
% 12.71/12.94 Current number of ordered equations: 0
% 12.71/12.94 Current number of rules: 522
% 12.71/12.94 New rule produced : [527] implies(ifeq2(A,A,truth,B),C) <-> ifeq(X,X,C,Y)
% 12.71/12.94 Current number of equations to process: 2186
% 12.71/12.94 Current number of ordered equations: 3
% 12.71/12.94 Current number of rules: 523
% 12.71/12.94 New rule produced : [528] ifeq(X,X,B,Y) <-> ifeq2(A,A,implies(truth,B),C)
% 12.89/13.13 Current number of equations to process: 2186
% 12.89/13.13 Current number of ordered equations: 2
% 12.89/13.13 Current number of rules: 524
% 12.89/13.13 New rule produced : [529] ifeq(X,X,C,Y) <-> implies(ifeq2(A,A,truth,B),C)
% 12.89/13.13 Current number of equations to process: 2186
% 12.89/13.13 Current number of ordered equations: 1
% 12.89/13.13 Current number of rules: 525
% 12.89/13.13 New rule produced : [530] ifeq2(A,A,implies(truth,B),C) <-> ifeq(X,X,B,Y)
% 12.89/13.13 Current number of equations to process: 2186
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 526
% 12.89/13.13 New rule produced : [531] (eq)(A,implies(truth,ifeq(B,B,A,C))) -> (true)
% 12.89/13.13 Current number of equations to process: 2184
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 527
% 12.89/13.13 New rule produced :
% 12.89/13.13 [532] implies(ifeq(A,A,B,C),B) <-> implies(implies(B,truth),truth)
% 12.89/13.13 Current number of equations to process: 2183
% 12.89/13.13 Current number of ordered equations: 1
% 12.89/13.13 Current number of rules: 528
% 12.89/13.13 New rule produced :
% 12.89/13.13 [533] implies(implies(B,truth),truth) <-> implies(ifeq(A,A,B,C),B)
% 12.89/13.13 Current number of equations to process: 2183
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 529
% 12.89/13.13 New rule produced :
% 12.89/13.13 [534] implies(truth,implies(truth,implies(truth,A))) <-> ifeq(B,B,A,C)
% 12.89/13.13 Current number of equations to process: 2181
% 12.89/13.13 Current number of ordered equations: 3
% 12.89/13.13 Current number of rules: 530
% 12.89/13.13 New rule produced :
% 12.89/13.13 [535] implies(implies(truth,implies(truth,truth)),A) <-> ifeq(B,B,A,C)
% 12.89/13.13 Current number of equations to process: 2181
% 12.89/13.13 Current number of ordered equations: 2
% 12.89/13.13 Current number of rules: 531
% 12.89/13.13 New rule produced :
% 12.89/13.13 [536] ifeq(B,B,A,C) <-> implies(truth,implies(truth,implies(truth,A)))
% 12.89/13.13 Current number of equations to process: 2181
% 12.89/13.13 Current number of ordered equations: 1
% 12.89/13.13 Current number of rules: 532
% 12.89/13.13 New rule produced :
% 12.89/13.13 [537] ifeq(B,B,A,C) <-> implies(implies(truth,implies(truth,truth)),A)
% 12.89/13.13 Current number of equations to process: 2181
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 533
% 12.89/13.13 New rule produced :
% 12.89/13.13 [538] implies(implies(truth,truth),implies(truth,A)) <-> ifeq(B,B,A,C)
% 12.89/13.13 Current number of equations to process: 2179
% 12.89/13.13 Current number of ordered equations: 3
% 12.89/13.13 Current number of rules: 534
% 12.89/13.13 New rule produced :
% 12.89/13.13 [539] implies(implies(implies(truth,truth),truth),A) <-> ifeq(B,B,A,C)
% 12.89/13.13 Current number of equations to process: 2179
% 12.89/13.13 Current number of ordered equations: 2
% 12.89/13.13 Current number of rules: 535
% 12.89/13.13 New rule produced :
% 12.89/13.13 [540] ifeq(B,B,A,C) <-> implies(implies(truth,truth),implies(truth,A))
% 12.89/13.13 Current number of equations to process: 2179
% 12.89/13.13 Current number of ordered equations: 1
% 12.89/13.13 Current number of rules: 536
% 12.89/13.13 New rule produced :
% 12.89/13.13 [541] ifeq(B,B,A,C) <-> implies(implies(implies(truth,truth),truth),A)
% 12.89/13.13 Current number of equations to process: 2179
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 537
% 12.89/13.13 New rule produced : [542] (eq)(truth,ifeq(A,A,truth big_V truth,B)) -> (true)
% 12.89/13.13 Current number of equations to process: 2178
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 538
% 12.89/13.13 New rule produced : [543] implies(ifeq(A,A,truth,B),C) <-> ifeq2(X,X,C,Y)
% 12.89/13.13 Current number of equations to process: 2176
% 12.89/13.13 Current number of ordered equations: 3
% 12.89/13.13 Current number of rules: 539
% 12.89/13.13 New rule produced : [544] ifeq2(X,X,B,Y) <-> ifeq(A,A,implies(truth,B),C)
% 12.89/13.13 Current number of equations to process: 2176
% 12.89/13.13 Current number of ordered equations: 2
% 12.89/13.13 Current number of rules: 540
% 12.89/13.13 New rule produced : [545] ifeq2(X,X,C,Y) <-> implies(ifeq(A,A,truth,B),C)
% 12.89/13.13 Current number of equations to process: 2176
% 12.89/13.13 Current number of ordered equations: 1
% 12.89/13.13 Current number of rules: 541
% 12.89/13.13 New rule produced : [546] ifeq(A,A,implies(truth,B),C) <-> ifeq2(X,X,B,Y)
% 12.89/13.13 Current number of equations to process: 2176
% 12.89/13.13 Current number of ordered equations: 0
% 12.89/13.13 Current number of rules: 542
% 12.89/13.13 New rule produced : [547] implies(ifeq2(A,A,truth,B),C) <-> ifeq2(X,X,C,Y)
% 12.89/13.13 Current number of equations to process: 2174
% 12.89/13.13 Current number of ordered equations: 3
% 12.89/13.13 Current number of rules: 543
% 12.89/13.13 New rule produced : [548] ifeq2(X,X,B,Y) <-> ifeq2(A,A,implies(truth,B),C)
% 12.89/13.13 Current number of equations to process: 2174
% 12.89/13.13 Current number of ordered equations: 2
% 12.89/13.13 Current number of rules: 544
% 12.89/13.13 New rule produced : [549] ifeq2(X,X,C,Y) <-> implies(ifeq2(A,A,truth,B),C)
% 12.89/13.13 Current number of equations to process: 2174
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 545
% 13.11/13.32 New rule produced : [550] ifeq2(A,A,implies(truth,B),C) <-> ifeq2(X,X,B,Y)
% 13.11/13.32 Current number of equations to process: 2174
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 546
% 13.11/13.32 New rule produced : [551] (eq)(A,implies(truth,ifeq2(B,B,A,C))) -> (true)
% 13.11/13.32 Current number of equations to process: 2172
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 547
% 13.11/13.32 New rule produced :
% 13.11/13.32 [552] implies(ifeq2(A,A,B,C),B) <-> implies(implies(B,truth),truth)
% 13.11/13.32 Current number of equations to process: 2171
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 548
% 13.11/13.32 New rule produced :
% 13.11/13.32 [553] implies(implies(B,truth),truth) <-> implies(ifeq2(A,A,B,C),B)
% 13.11/13.32 Current number of equations to process: 2171
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 549
% 13.11/13.32 New rule produced :
% 13.11/13.32 [554] implies(truth,implies(truth,implies(truth,A))) <-> ifeq2(B,B,A,C)
% 13.11/13.32 Current number of equations to process: 2169
% 13.11/13.32 Current number of ordered equations: 3
% 13.11/13.32 Current number of rules: 550
% 13.11/13.32 New rule produced :
% 13.11/13.32 [555] implies(implies(truth,implies(truth,truth)),A) <-> ifeq2(B,B,A,C)
% 13.11/13.32 Current number of equations to process: 2169
% 13.11/13.32 Current number of ordered equations: 2
% 13.11/13.32 Current number of rules: 551
% 13.11/13.32 New rule produced :
% 13.11/13.32 [556] ifeq2(B,B,A,C) <-> implies(truth,implies(truth,implies(truth,A)))
% 13.11/13.32 Current number of equations to process: 2169
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 552
% 13.11/13.32 New rule produced :
% 13.11/13.32 [557] ifeq2(B,B,A,C) <-> implies(implies(truth,implies(truth,truth)),A)
% 13.11/13.32 Current number of equations to process: 2169
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 553
% 13.11/13.32 New rule produced :
% 13.11/13.32 [558] implies(implies(truth,truth),implies(truth,A)) <-> ifeq2(B,B,A,C)
% 13.11/13.32 Current number of equations to process: 2167
% 13.11/13.32 Current number of ordered equations: 3
% 13.11/13.32 Current number of rules: 554
% 13.11/13.32 New rule produced :
% 13.11/13.32 [559] implies(implies(implies(truth,truth),truth),A) <-> ifeq2(B,B,A,C)
% 13.11/13.32 Current number of equations to process: 2167
% 13.11/13.32 Current number of ordered equations: 2
% 13.11/13.32 Current number of rules: 555
% 13.11/13.32 New rule produced :
% 13.11/13.32 [560] ifeq2(B,B,A,C) <-> implies(implies(truth,truth),implies(truth,A))
% 13.11/13.32 Current number of equations to process: 2167
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 556
% 13.11/13.32 New rule produced :
% 13.11/13.32 [561] ifeq2(B,B,A,C) <-> implies(implies(implies(truth,truth),truth),A)
% 13.11/13.32 Current number of equations to process: 2167
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 557
% 13.11/13.32 New rule produced :
% 13.11/13.32 [562] (eq)(truth,ifeq2(A,A,truth big_V truth,B)) -> (true)
% 13.11/13.32 Current number of equations to process: 2166
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 558
% 13.11/13.32 New rule produced :
% 13.11/13.32 [563] ifeq(A,A,implies(B,B),C) <-> implies(implies(B,truth),truth)
% 13.11/13.32 Current number of equations to process: 2165
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 559
% 13.11/13.32 New rule produced :
% 13.11/13.32 [564] implies(implies(B,truth),truth) <-> ifeq(A,A,implies(B,B),C)
% 13.11/13.32 Current number of equations to process: 2165
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 560
% 13.11/13.32 New rule produced :
% 13.11/13.32 [565] ifeq2(A,A,implies(B,B),C) <-> implies(implies(B,truth),truth)
% 13.11/13.32 Current number of equations to process: 2164
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 561
% 13.11/13.32 New rule produced :
% 13.11/13.32 [566] implies(implies(B,truth),truth) <-> ifeq2(A,A,implies(B,B),C)
% 13.11/13.32 Current number of equations to process: 2164
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 562
% 13.11/13.32 New rule produced :
% 13.11/13.32 [567]
% 13.11/13.32 implies(truth,implies(truth,implies(A,A))) <->
% 13.11/13.32 implies(implies(A,truth),truth)
% 13.11/13.32 Current number of equations to process: 2163
% 13.11/13.32 Current number of ordered equations: 1
% 13.11/13.32 Current number of rules: 563
% 13.11/13.32 New rule produced :
% 13.11/13.32 [568]
% 13.11/13.32 implies(implies(A,truth),truth) <->
% 13.11/13.32 implies(truth,implies(truth,implies(A,A)))
% 13.11/13.32 Current number of equations to process: 2163
% 13.11/13.32 Current number of ordered equations: 0
% 13.11/13.32 Current number of rules: 564
% 13.11/13.32 New rule produced :
% 13.11/13.32 [569]
% 13.11/13.32 implies(implies(truth,truth),implies(A,A)) <->
% 13.11/13.32 implies(implies(A,truth),truth)
% 13.11/13.32 Current number of equations to process: 2162
% 13.21/13.50 Current number of ordered equations: 1
% 13.21/13.50 Current number of rules: 565
% 13.21/13.50 New rule produced :
% 13.21/13.50 [570]
% 13.21/13.50 implies(implies(A,truth),truth) <->
% 13.21/13.50 implies(implies(truth,truth),implies(A,A))
% 13.21/13.50 Current number of equations to process: 2162
% 13.21/13.50 Current number of ordered equations: 0
% 13.21/13.50 Current number of rules: 566
% 13.21/13.50 New rule produced :
% 13.21/13.50 [571]
% 13.21/13.50 implies(implies(A,A),truth) <-> implies(implies(A,truth),implies(A,truth))
% 13.21/13.50 Current number of equations to process: 2161
% 13.21/13.50 Current number of ordered equations: 1
% 13.21/13.50 Current number of rules: 567
% 13.21/13.50 New rule produced :
% 13.21/13.50 [572]
% 13.21/13.50 implies(implies(A,truth),implies(A,truth)) <-> implies(implies(A,A),truth)
% 13.21/13.50 Current number of equations to process: 2161
% 13.21/13.50 Current number of ordered equations: 0
% 13.21/13.50 Current number of rules: 568
% 13.21/13.50 New rule produced :
% 13.21/13.50 [573]
% 13.21/13.50 implies(truth big_V A,truth) <-> implies(implies(A,truth),implies(A,truth))
% 13.21/13.50 Current number of equations to process: 2160
% 13.21/13.50 Current number of ordered equations: 1
% 13.21/13.50 Current number of rules: 569
% 13.21/13.50 New rule produced :
% 13.21/13.50 [574]
% 13.21/13.50 implies(implies(A,truth),implies(A,truth)) <-> implies(truth big_V A,truth)
% 13.29/13.50 Current number of equations to process: 2160
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 570
% 13.29/13.50 New rule produced : [575] implies(truth big_V B,B) <-> ifeq(A,A,B big_V B,C)
% 13.29/13.50 Current number of equations to process: 2159
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 571
% 13.29/13.50 New rule produced : [576] ifeq(A,A,B big_V B,C) <-> implies(truth big_V B,B)
% 13.29/13.50 Current number of equations to process: 2159
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 572
% 13.29/13.50 New rule produced : [577] implies(truth big_V B,B) <-> ifeq2(A,A,B big_V B,C)
% 13.29/13.50 Current number of equations to process: 2158
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 573
% 13.29/13.50 New rule produced : [578] ifeq2(A,A,B big_V B,C) <-> implies(truth big_V B,B)
% 13.29/13.50 Current number of equations to process: 2158
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 574
% 13.29/13.50 New rule produced :
% 13.29/13.50 [579] not(implies(truth big_V not(A),not(A))) <-> A big_hat A
% 13.29/13.50 Current number of equations to process: 2157
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 575
% 13.29/13.50 New rule produced :
% 13.29/13.50 [580] A big_hat A <-> not(implies(truth big_V not(A),not(A)))
% 13.29/13.50 Current number of equations to process: 2157
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 576
% 13.29/13.50 New rule produced :
% 13.29/13.50 [581] implies(truth,implies(truth,A big_V A)) <-> implies(truth big_V A,A)
% 13.29/13.50 Current number of equations to process: 2156
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 577
% 13.29/13.50 New rule produced :
% 13.29/13.50 [582] implies(truth big_V A,A) <-> implies(truth,implies(truth,A big_V A))
% 13.29/13.50 Current number of equations to process: 2156
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 578
% 13.29/13.50 New rule produced :
% 13.29/13.50 [583] implies(truth big_V A,A) <-> implies(implies(truth,truth),A big_V A)
% 13.29/13.50 Current number of equations to process: 2155
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 579
% 13.29/13.50 New rule produced :
% 13.29/13.50 [584] implies(implies(truth,truth),A big_V A) <-> implies(truth big_V A,A)
% 13.29/13.50 Current number of equations to process: 2155
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 580
% 13.29/13.50 New rule produced :
% 13.29/13.50 [585] (eq)(truth,implies(truth,implies(truth big_V truth,truth))) -> (true)
% 13.29/13.50 Current number of equations to process: 2154
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 581
% 13.29/13.50 New rule produced : [586] implies(implies(C,B),B) <-> ifeq(A,A,B big_V C,X)
% 13.29/13.50 Current number of equations to process: 2153
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 582
% 13.29/13.50 New rule produced : [587] ifeq(A,A,B big_V C,X) <-> implies(implies(C,B),B)
% 13.29/13.50 Current number of equations to process: 2153
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 583
% 13.29/13.50 New rule produced : [588] implies(implies(C,B),B) <-> ifeq2(A,A,B big_V C,X)
% 13.29/13.50 Current number of equations to process: 2152
% 13.29/13.50 Current number of ordered equations: 1
% 13.29/13.50 Current number of rules: 584
% 13.29/13.50 New rule produced : [589] ifeq2(A,A,B big_V C,X) <-> implies(implies(C,B),B)
% 13.29/13.50 Current number of equations to process: 2152
% 13.29/13.50 Current number of ordered equations: 0
% 13.29/13.50 Current number of rules: 585
% 13.51/13.77 New rule produced :
% 13.51/13.77 [590] implies(truth,implies(truth,A big_V B)) <-> implies(implies(B,A),A)
% 13.51/13.77 Current number of equations to process: 2151
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 586
% 13.51/13.77 New rule produced :
% 13.51/13.77 [591] implies(implies(B,A),A) <-> implies(truth,implies(truth,A big_V B))
% 13.51/13.77 Current number of equations to process: 2151
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 587
% 13.51/13.77 New rule produced :
% 13.51/13.77 [592] implies(implies(truth,truth),A big_V B) <-> implies(implies(B,A),A)
% 13.51/13.77 Current number of equations to process: 2150
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 588
% 13.51/13.77 New rule produced :
% 13.51/13.77 [593] implies(implies(B,A),A) <-> implies(implies(truth,truth),A big_V B)
% 13.51/13.77 Current number of equations to process: 2150
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 589
% 13.51/13.77 New rule produced : [594] implies(truth,ifeq(A,A,B,C)) <-> ifeq(X,X,B,Y)
% 13.51/13.77 Current number of equations to process: 2146
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 590
% 13.51/13.77 New rule produced : [595] ifeq(X,X,B,Y) <-> implies(truth,ifeq(A,A,B,C))
% 13.51/13.77 Current number of equations to process: 2146
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 591
% 13.51/13.77 New rule produced :
% 13.51/13.77 [596] truth <-> truth big_V ifeq(A,A,implies(truth,truth),B)
% 13.51/13.77 Current number of equations to process: 2140
% 13.51/13.77 Current number of ordered equations: 3
% 13.51/13.77 Current number of rules: 592
% 13.51/13.77 New rule produced :
% 13.51/13.77 [597] truth <-> ifeq(A,A,implies(truth,truth big_V truth),B)
% 13.51/13.77 Current number of equations to process: 2140
% 13.51/13.77 Current number of ordered equations: 2
% 13.51/13.77 Current number of rules: 593
% 13.51/13.77 New rule produced :
% 13.51/13.77 [598] truth big_V ifeq(A,A,implies(truth,truth),B) <-> truth
% 13.51/13.77 Current number of equations to process: 2140
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 594
% 13.51/13.77 New rule produced :
% 13.51/13.77 [599] ifeq(A,A,implies(truth,truth big_V truth),B) <-> truth
% 13.51/13.77 Current number of equations to process: 2140
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 595
% 13.51/13.77 New rule produced :
% 13.51/13.77 [600] implies(implies(truth,truth),A) <-> ifeq(B,B,implies(truth,A),C)
% 13.51/13.77 Current number of equations to process: 2139
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 596
% 13.51/13.77 New rule produced :
% 13.51/13.77 [601] ifeq(B,B,implies(truth,A),C) <-> implies(implies(truth,truth),A)
% 13.51/13.77 Current number of equations to process: 2139
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 597
% 13.51/13.77 New rule produced :
% 13.51/13.77 [602] truth <-> truth big_V implies(ifeq(A,A,truth,B),truth)
% 13.51/13.77 Current number of equations to process: 2133
% 13.51/13.77 Current number of ordered equations: 3
% 13.51/13.77 Current number of rules: 598
% 13.51/13.77 New rule produced :
% 13.51/13.77 [603] truth <-> implies(ifeq(A,A,truth,B),truth big_V truth)
% 13.51/13.77 Current number of equations to process: 2133
% 13.51/13.77 Current number of ordered equations: 2
% 13.51/13.77 Current number of rules: 599
% 13.51/13.77 New rule produced :
% 13.51/13.77 [604] truth big_V implies(ifeq(A,A,truth,B),truth) <-> truth
% 13.51/13.77 Current number of equations to process: 2133
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 600
% 13.51/13.77 New rule produced :
% 13.51/13.77 [605] implies(ifeq(A,A,truth,B),truth big_V truth) <-> truth
% 13.51/13.77 Current number of equations to process: 2133
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 601
% 13.51/13.77 New rule produced :
% 13.51/13.77 [606] implies(truth,implies(truth,A)) <-> implies(ifeq(B,B,truth,C),A)
% 13.51/13.77 Current number of equations to process: 2132
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 602
% 13.51/13.77 New rule produced :
% 13.51/13.77 [607] implies(ifeq(B,B,truth,C),A) <-> implies(truth,implies(truth,A))
% 13.51/13.77 Current number of equations to process: 2132
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 603
% 13.51/13.77 New rule produced : [608] truth big_V ifeq(A,A,truth,B) <-> ifeq(A,A,truth,B)
% 13.51/13.77 Current number of equations to process: 2128
% 13.51/13.77 Current number of ordered equations: 1
% 13.51/13.77 Current number of rules: 604
% 13.51/13.77 New rule produced : [609] ifeq(A,A,truth,B) <-> truth big_V ifeq(A,A,truth,B)
% 13.51/13.77 Current number of equations to process: 2128
% 13.51/13.77 Current number of ordered equations: 0
% 13.51/13.77 Current number of rules: 605
% 13.51/13.77 New rule produced : [610] C <-> implies(ifeq(A,A,truth big_V truth,B),C)
% 13.51/13.77 Current number of equations to process: 2127
% 13.51/13.77 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 606
% 13.82/14.07 New rule produced : [611] implies(ifeq(A,A,truth big_V truth,B),C) <-> C
% 13.82/14.07 Current number of equations to process: 2127
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 607
% 13.82/14.07 New rule produced : [612] B <-> ifeq(A,A,implies(truth big_V truth,B),C)
% 13.82/14.07 Current number of equations to process: 2123
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 608
% 13.82/14.07 New rule produced : [613] ifeq(A,A,implies(truth big_V truth,B),C) <-> B
% 13.82/14.07 Current number of equations to process: 2123
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 609
% 13.82/14.07 New rule produced :
% 13.82/14.07 [614] truth <-> ifeq(A,A,truth big_V implies(truth,truth),B)
% 13.82/14.07 Current number of equations to process: 2122
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 610
% 13.82/14.07 New rule produced :
% 13.82/14.07 [615] ifeq(A,A,truth big_V implies(truth,truth),B) <-> truth
% 13.82/14.07 Current number of equations to process: 2122
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 611
% 13.82/14.07 New rule produced : [616] implies(truth,ifeq2(A,A,B,C)) <-> ifeq2(X,X,B,Y)
% 13.82/14.07 Current number of equations to process: 2119
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 612
% 13.82/14.07 New rule produced : [617] ifeq2(X,X,B,Y) <-> implies(truth,ifeq2(A,A,B,C))
% 13.82/14.07 Current number of equations to process: 2119
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 613
% 13.82/14.07 New rule produced :
% 13.82/14.07 [618] truth <-> truth big_V ifeq2(A,A,implies(truth,truth),B)
% 13.82/14.07 Current number of equations to process: 2113
% 13.82/14.07 Current number of ordered equations: 3
% 13.82/14.07 Current number of rules: 614
% 13.82/14.07 New rule produced :
% 13.82/14.07 [619] truth <-> ifeq2(A,A,implies(truth,truth big_V truth),B)
% 13.82/14.07 Current number of equations to process: 2113
% 13.82/14.07 Current number of ordered equations: 2
% 13.82/14.07 Current number of rules: 615
% 13.82/14.07 New rule produced :
% 13.82/14.07 [620] truth big_V ifeq2(A,A,implies(truth,truth),B) <-> truth
% 13.82/14.07 Current number of equations to process: 2113
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 616
% 13.82/14.07 New rule produced :
% 13.82/14.07 [621] ifeq2(A,A,implies(truth,truth big_V truth),B) <-> truth
% 13.82/14.07 Current number of equations to process: 2113
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 617
% 13.82/14.07 New rule produced :
% 13.82/14.07 [622] implies(implies(truth,truth),A) <-> ifeq2(B,B,implies(truth,A),C)
% 13.82/14.07 Current number of equations to process: 2112
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 618
% 13.82/14.07 New rule produced :
% 13.82/14.07 [623] ifeq2(B,B,implies(truth,A),C) <-> implies(implies(truth,truth),A)
% 13.82/14.07 Current number of equations to process: 2112
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 619
% 13.82/14.07 New rule produced :
% 13.82/14.07 [624] truth <-> truth big_V implies(ifeq2(A,A,truth,B),truth)
% 13.82/14.07 Current number of equations to process: 2106
% 13.82/14.07 Current number of ordered equations: 3
% 13.82/14.07 Current number of rules: 620
% 13.82/14.07 New rule produced :
% 13.82/14.07 [625] truth <-> implies(ifeq2(A,A,truth,B),truth big_V truth)
% 13.82/14.07 Current number of equations to process: 2106
% 13.82/14.07 Current number of ordered equations: 2
% 13.82/14.07 Current number of rules: 621
% 13.82/14.07 New rule produced :
% 13.82/14.07 [626] truth big_V implies(ifeq2(A,A,truth,B),truth) <-> truth
% 13.82/14.07 Current number of equations to process: 2106
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 622
% 13.82/14.07 New rule produced :
% 13.82/14.07 [627] implies(ifeq2(A,A,truth,B),truth big_V truth) <-> truth
% 13.82/14.07 Current number of equations to process: 2106
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 623
% 13.82/14.07 New rule produced :
% 13.82/14.07 [628] implies(truth,implies(truth,A)) <-> implies(ifeq2(B,B,truth,C),A)
% 13.82/14.07 Current number of equations to process: 2105
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 624
% 13.82/14.07 New rule produced :
% 13.82/14.07 [629] implies(ifeq2(B,B,truth,C),A) <-> implies(truth,implies(truth,A))
% 13.82/14.07 Current number of equations to process: 2105
% 13.82/14.07 Current number of ordered equations: 0
% 13.82/14.07 Current number of rules: 625
% 13.82/14.07 New rule produced :
% 13.82/14.07 [630] truth big_V ifeq2(A,A,truth,B) <-> ifeq2(A,A,truth,B)
% 13.82/14.07 Current number of equations to process: 2101
% 13.82/14.07 Current number of ordered equations: 1
% 13.82/14.07 Current number of rules: 626
% 13.82/14.07 New rule produced :
% 13.82/14.07 [631] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(A,A,truth,B)
% 13.82/14.07 Current number of equations to process: 2101
% 13.82/14.07 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 627
% 14.12/14.38 New rule produced : [632] C <-> implies(ifeq2(A,A,truth big_V truth,B),C)
% 14.12/14.38 Current number of equations to process: 2100
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 628
% 14.12/14.38 New rule produced : [633] implies(ifeq2(A,A,truth big_V truth,B),C) <-> C
% 14.12/14.38 Current number of equations to process: 2100
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 629
% 14.12/14.38 New rule produced : [634] B <-> ifeq2(A,A,implies(truth big_V truth,B),C)
% 14.12/14.38 Current number of equations to process: 2096
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 630
% 14.12/14.38 New rule produced : [635] ifeq2(A,A,implies(truth big_V truth,B),C) <-> B
% 14.12/14.38 Current number of equations to process: 2096
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 631
% 14.12/14.38 New rule produced :
% 14.12/14.38 [636] truth <-> ifeq2(A,A,truth big_V implies(truth,truth),B)
% 14.12/14.38 Current number of equations to process: 2095
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 632
% 14.12/14.38 New rule produced :
% 14.12/14.38 [637] ifeq2(A,A,truth big_V implies(truth,truth),B) <-> truth
% 14.12/14.38 Current number of equations to process: 2095
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 633
% 14.12/14.38 New rule produced : [638] implies(truth,ifeq2(A,A,B,C)) <-> ifeq(X,X,B,Y)
% 14.12/14.38 Current number of equations to process: 2092
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 634
% 14.12/14.38 New rule produced : [639] ifeq(X,X,B,Y) <-> implies(truth,ifeq2(A,A,B,C))
% 14.12/14.38 Current number of equations to process: 2092
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 635
% 14.12/14.38 New rule produced : [640] implies(truth,ifeq(A,A,B,C)) <-> ifeq2(X,X,B,Y)
% 14.12/14.38 Current number of equations to process: 2091
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 636
% 14.12/14.38 New rule produced : [641] ifeq2(X,X,B,Y) <-> implies(truth,ifeq(A,A,B,C))
% 14.12/14.38 Current number of equations to process: 2091
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 637
% 14.12/14.38 New rule produced :
% 14.12/14.38 [642] (eq)(A,implies(truth,implies(truth big_V truth,A))) -> (true)
% 14.12/14.38 Rule
% 14.12/14.38 [585] (eq)(truth,implies(truth,implies(truth big_V truth,truth))) -> (true)
% 14.12/14.38 collapsed.
% 14.12/14.38 Current number of equations to process: 2089
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 637
% 14.12/14.38 New rule produced :
% 14.12/14.38 [643] (eq)(implies(truth,truth),truth big_V implies(truth,truth)) -> (true)
% 14.12/14.38 Current number of equations to process: 2088
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 638
% 14.12/14.38 New rule produced :
% 14.12/14.38 [644] (eq)(A,implies(truth big_V truth,implies(truth,A))) -> (true)
% 14.12/14.38 Current number of equations to process: 2086
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 639
% 14.12/14.38 New rule produced :
% 14.12/14.38 [645] (eq)(implies(truth,A),implies(implies(truth,truth),A)) -> (true)
% 14.12/14.38 Current number of equations to process: 2085
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 640
% 14.12/14.38 New rule produced :
% 14.12/14.38 [646] (eq)(truth,implies(truth,truth) big_V implies(truth,truth)) -> (true)
% 14.12/14.38 Current number of equations to process: 2084
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 641
% 14.12/14.38 New rule produced :
% 14.12/14.38 [647] truth <-> truth big_V implies(truth,ifeq(A,A,truth,B))
% 14.12/14.38 Current number of equations to process: 2076
% 14.12/14.38 Current number of ordered equations: 3
% 14.12/14.38 Current number of rules: 642
% 14.12/14.38 New rule produced :
% 14.12/14.38 [648] truth <-> implies(truth,ifeq(A,A,truth big_V truth,B))
% 14.12/14.38 Current number of equations to process: 2076
% 14.12/14.38 Current number of ordered equations: 2
% 14.12/14.38 Current number of rules: 643
% 14.12/14.38 New rule produced :
% 14.12/14.38 [649] truth big_V implies(truth,ifeq(A,A,truth,B)) <-> truth
% 14.12/14.38 Current number of equations to process: 2076
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 644
% 14.12/14.38 New rule produced :
% 14.12/14.38 [650] implies(truth,ifeq(A,A,truth big_V truth,B)) <-> truth
% 14.12/14.38 Current number of equations to process: 2076
% 14.12/14.38 Current number of ordered equations: 0
% 14.12/14.38 Current number of rules: 645
% 14.12/14.38 New rule produced :
% 14.12/14.38 [651] implies(truth,ifeq(B,B,A,C)) <-> implies(implies(truth,truth),A)
% 14.12/14.38 Current number of equations to process: 2075
% 14.12/14.38 Current number of ordered equations: 1
% 14.12/14.38 Current number of rules: 646
% 14.12/14.38 New rule produced :
% 14.12/14.38 [652] implies(implies(truth,truth),A) <-> implies(truth,ifeq(B,B,A,C))
% 14.44/14.67 Current number of equations to process: 2075
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 647
% 14.44/14.67 New rule produced : [653] (eq)(ifeq(A,A,B,C),implies(truth,B)) -> (true)
% 14.44/14.67 Current number of equations to process: 2072
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 648
% 14.44/14.67 New rule produced : [654] B <-> implies(truth big_V truth,ifeq(A,A,B,C))
% 14.44/14.67 Current number of equations to process: 2071
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 649
% 14.44/14.67 New rule produced : [655] implies(truth big_V truth,ifeq(A,A,B,C)) <-> B
% 14.44/14.67 Current number of equations to process: 2071
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 650
% 14.44/14.67 New rule produced :
% 14.44/14.67 [656] truth <-> truth big_V implies(truth,ifeq2(A,A,truth,B))
% 14.44/14.67 Current number of equations to process: 2065
% 14.44/14.67 Current number of ordered equations: 3
% 14.44/14.67 Current number of rules: 651
% 14.44/14.67 New rule produced :
% 14.44/14.67 [657] truth <-> implies(truth,ifeq2(A,A,truth big_V truth,B))
% 14.44/14.67 Current number of equations to process: 2065
% 14.44/14.67 Current number of ordered equations: 2
% 14.44/14.67 Current number of rules: 652
% 14.44/14.67 New rule produced :
% 14.44/14.67 [658] truth big_V implies(truth,ifeq2(A,A,truth,B)) <-> truth
% 14.44/14.67 Current number of equations to process: 2065
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 653
% 14.44/14.67 New rule produced :
% 14.44/14.67 [659] implies(truth,ifeq2(A,A,truth big_V truth,B)) <-> truth
% 14.44/14.67 Current number of equations to process: 2065
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 654
% 14.44/14.67 New rule produced :
% 14.44/14.67 [660] implies(truth,ifeq2(B,B,A,C)) <-> implies(implies(truth,truth),A)
% 14.44/14.67 Current number of equations to process: 2064
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 655
% 14.44/14.67 New rule produced :
% 14.44/14.67 [661] implies(implies(truth,truth),A) <-> implies(truth,ifeq2(B,B,A,C))
% 14.44/14.67 Current number of equations to process: 2064
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 656
% 14.44/14.67 New rule produced : [662] (eq)(ifeq2(A,A,B,C),implies(truth,B)) -> (true)
% 14.44/14.67 Current number of equations to process: 2061
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 657
% 14.44/14.67 New rule produced : [663] B <-> implies(truth big_V truth,ifeq2(A,A,B,C))
% 14.44/14.67 Current number of equations to process: 2060
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 658
% 14.44/14.67 New rule produced : [664] implies(truth big_V truth,ifeq2(A,A,B,C)) <-> B
% 14.44/14.67 Current number of equations to process: 2060
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 659
% 14.44/14.67 New rule produced :
% 14.44/14.67 [665] implies(implies(A,B),B) <-> implies(truth big_V truth,A big_V B)
% 14.44/14.67 Current number of equations to process: 2057
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 660
% 14.44/14.67 New rule produced :
% 14.44/14.67 [666] implies(truth big_V truth,A big_V B) <-> implies(implies(A,B),B)
% 14.44/14.67 Current number of equations to process: 2057
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 661
% 14.44/14.67 New rule produced : [667] (eq)(A big_V B,implies(implies(A,B),B)) -> (true)
% 14.44/14.67 Current number of equations to process: 2056
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 662
% 14.44/14.67 New rule produced :
% 14.44/14.67 [668]
% 14.44/14.67 implies(truth,implies(A,A)) <-> implies(implies(implies(truth,truth),A),A)
% 14.44/14.67 Current number of equations to process: 2055
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 663
% 14.44/14.67 New rule produced :
% 14.44/14.67 [669]
% 14.44/14.67 implies(implies(implies(truth,truth),A),A) <-> implies(truth,implies(A,A))
% 14.44/14.67 Current number of equations to process: 2055
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 664
% 14.44/14.67 New rule produced :
% 14.44/14.67 [670]
% 14.44/14.67 implies(truth,implies(truth,implies(A,A))) <-> implies(implies(truth,A),A)
% 14.44/14.67 Current number of equations to process: 2053
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 665
% 14.44/14.67 New rule produced :
% 14.44/14.67 [671]
% 14.44/14.67 implies(implies(truth,A),A) <-> implies(truth,implies(truth,implies(A,A)))
% 14.44/14.67 Current number of equations to process: 2053
% 14.44/14.67 Current number of ordered equations: 0
% 14.44/14.67 Current number of rules: 666
% 14.44/14.67 New rule produced :
% 14.44/14.67 [672] implies(truth,implies(truth big_V A,A)) <-> implies(implies(A,A),A)
% 14.44/14.67 Current number of equations to process: 2052
% 14.44/14.67 Current number of ordered equations: 1
% 14.44/14.67 Current number of rules: 667
% 14.70/14.91 New rule produced :
% 14.70/14.91 [673] implies(implies(A,A),A) <-> implies(truth,implies(truth big_V A,A))
% 14.70/14.91 Current number of equations to process: 2052
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 668
% 14.70/14.91 New rule produced :
% 14.70/14.91 [674] implies(truth,A big_V B) <-> implies(implies(truth,implies(A,B)),B)
% 14.70/14.91 Current number of equations to process: 2051
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 669
% 14.70/14.91 New rule produced :
% 14.70/14.91 [675] implies(implies(truth,implies(A,B)),B) <-> implies(truth,A big_V B)
% 14.70/14.91 Current number of equations to process: 2051
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 670
% 14.70/14.91 New rule produced :
% 14.70/14.91 [676] implies(A,B) big_V B <-> implies(implies(truth,A big_V B),B)
% 14.70/14.91 Current number of equations to process: 2049
% 14.70/14.91 Current number of ordered equations: 3
% 14.70/14.91 Current number of rules: 671
% 14.70/14.91 New rule produced :
% 14.70/14.91 [677] implies(truth,implies(B,A) big_V A) <-> implies(A big_V B,A)
% 14.70/14.91 Current number of equations to process: 2049
% 14.70/14.91 Current number of ordered equations: 2
% 14.70/14.91 Current number of rules: 672
% 14.70/14.91 New rule produced :
% 14.70/14.91 [678] implies(A big_V B,A) <-> implies(truth,implies(B,A) big_V A)
% 14.70/14.91 Current number of equations to process: 2049
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 673
% 14.70/14.91 New rule produced :
% 14.70/14.91 [679] implies(implies(truth,A big_V B),B) <-> implies(A,B) big_V B
% 14.70/14.91 Current number of equations to process: 2049
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 674
% 14.70/14.91 New rule produced :
% 14.70/14.91 [680]
% 14.70/14.91 implies(A,implies(truth,A)) <-> implies(truth,truth big_V implies(truth,A))
% 14.70/14.91 Current number of equations to process: 2048
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 675
% 14.70/14.91 New rule produced :
% 14.70/14.91 [681]
% 14.70/14.91 implies(truth,truth big_V implies(truth,A)) <-> implies(A,implies(truth,A))
% 14.70/14.91 Current number of equations to process: 2048
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 676
% 14.70/14.91 New rule produced :
% 14.70/14.91 [682] implies(truth,A big_V A) <-> implies(implies(truth,truth) big_V A,A)
% 14.70/14.91 Current number of equations to process: 2047
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 677
% 14.70/14.91 New rule produced :
% 14.70/14.91 [683] implies(implies(truth,truth) big_V A,A) <-> implies(truth,A big_V A)
% 14.70/14.91 Current number of equations to process: 2047
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 678
% 14.70/14.91 New rule produced :
% 14.70/14.91 [684] implies(truth,A big_V A) <-> implies(implies(truth,truth big_V A),A)
% 14.70/14.91 Current number of equations to process: 2046
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 679
% 14.70/14.91 New rule produced :
% 14.70/14.91 [685] implies(implies(truth,truth big_V A),A) <-> implies(truth,A big_V A)
% 14.70/14.91 Current number of equations to process: 2046
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 680
% 14.70/14.91 New rule produced :
% 14.70/14.91 [686] implies(ifeq(A,A,B,C),B) <-> implies(truth,truth big_V B)
% 14.70/14.91 Current number of equations to process: 2045
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 681
% 14.70/14.91 New rule produced :
% 14.70/14.91 [687] implies(truth,truth big_V B) <-> implies(ifeq(A,A,B,C),B)
% 14.70/14.91 Current number of equations to process: 2045
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 682
% 14.70/14.91 New rule produced :
% 14.70/14.91 [688] implies(ifeq2(A,A,B,C),B) <-> implies(truth,truth big_V B)
% 14.70/14.91 Current number of equations to process: 2044
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 683
% 14.70/14.91 New rule produced :
% 14.70/14.91 [689] implies(truth,truth big_V B) <-> implies(ifeq2(A,A,B,C),B)
% 14.70/14.91 Current number of equations to process: 2044
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 684
% 14.70/14.91 New rule produced :
% 14.70/14.91 [690] implies(truth,A big_V A) <-> implies(implies(implies(A,truth),truth),A)
% 14.70/14.91 Current number of equations to process: 2043
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 685
% 14.70/14.91 New rule produced :
% 14.70/14.91 [691] implies(implies(implies(A,truth),truth),A) <-> implies(truth,A big_V A)
% 14.70/14.91 Current number of equations to process: 2043
% 14.70/14.91 Current number of ordered equations: 0
% 14.70/14.91 Current number of rules: 686
% 14.70/14.91 New rule produced :
% 14.70/14.91 [692]
% 14.70/14.91 implies(truth,truth big_V implies(A,truth)) <-> implies(implies(A,A),truth)
% 14.70/14.91 Current number of equations to process: 2042
% 14.70/14.91 Current number of ordered equations: 1
% 14.70/14.91 Current number of rules: 687
% 14.91/15.16 New rule produced :
% 14.91/15.16 [693]
% 14.91/15.16 implies(implies(A,A),truth) <-> implies(truth,truth big_V implies(A,truth))
% 14.91/15.16 Current number of equations to process: 2042
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 688
% 14.91/15.16 New rule produced :
% 14.91/15.16 [694] implies(truth,(truth big_V A) big_V A) <-> implies(A big_V A,A)
% 14.91/15.16 Current number of equations to process: 2041
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 689
% 14.91/15.16 New rule produced :
% 14.91/15.16 [695] implies(A big_V A,A) <-> implies(truth,(truth big_V A) big_V A)
% 14.91/15.16 Current number of equations to process: 2041
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 690
% 14.91/15.16 New rule produced :
% 14.91/15.16 [696] implies(A big_V B,B) <-> implies(truth,implies(A,B)) big_V B
% 14.91/15.16 Current number of equations to process: 2036
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 691
% 14.91/15.16 New rule produced :
% 14.91/15.16 [697] implies(truth,implies(A,B)) big_V B <-> implies(A big_V B,B)
% 14.91/15.16 Current number of equations to process: 2036
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 692
% 14.91/15.16 New rule produced :
% 14.91/15.16 [698] (A big_V B) big_V A <-> implies(implies(B,A) big_V A,A)
% 14.91/15.16 Current number of equations to process: 2034
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 693
% 14.91/15.16 New rule produced :
% 14.91/15.16 [699] implies(implies(B,A) big_V A,A) <-> (A big_V B) big_V A
% 14.91/15.16 Current number of equations to process: 2034
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 694
% 14.91/15.16 New rule produced :
% 14.91/15.16 [700] (implies(truth,truth) big_V A) big_V A <-> implies(A big_V A,A)
% 14.91/15.16 Current number of equations to process: 2033
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 695
% 14.91/15.16 New rule produced :
% 14.91/15.16 [701] implies(A big_V A,A) <-> (implies(truth,truth) big_V A) big_V A
% 14.91/15.16 Current number of equations to process: 2033
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 696
% 14.91/15.16 New rule produced :
% 14.91/15.16 [702] implies(truth,truth big_V A) big_V A <-> implies(A big_V A,A)
% 14.91/15.16 Current number of equations to process: 2032
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 697
% 14.91/15.16 New rule produced :
% 14.91/15.16 [703] implies(A big_V A,A) <-> implies(truth,truth big_V A) big_V A
% 14.91/15.16 Current number of equations to process: 2032
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 698
% 14.91/15.16 New rule produced : [704] ifeq(A,A,B,C) big_V B <-> implies(truth big_V B,B)
% 14.91/15.16 Current number of equations to process: 2031
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 699
% 14.91/15.16 New rule produced : [705] implies(truth big_V B,B) <-> ifeq(A,A,B,C) big_V B
% 14.91/15.16 Current number of equations to process: 2031
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 700
% 14.91/15.16 New rule produced : [706] ifeq2(A,A,B,C) big_V B <-> implies(truth big_V B,B)
% 14.91/15.16 Current number of equations to process: 2030
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 701
% 14.91/15.16 New rule produced : [707] implies(truth big_V B,B) <-> ifeq2(A,A,B,C) big_V B
% 14.91/15.16 Current number of equations to process: 2030
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 702
% 14.91/15.16 New rule produced :
% 14.91/15.16 [708] implies(implies(A,truth),truth) big_V A <-> implies(A big_V A,A)
% 14.91/15.16 Current number of equations to process: 2029
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 703
% 14.91/15.16 New rule produced :
% 14.91/15.16 [709] implies(A big_V A,A) <-> implies(implies(A,truth),truth) big_V A
% 14.91/15.16 Current number of equations to process: 2029
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 704
% 14.91/15.16 New rule produced :
% 14.91/15.16 [710]
% 14.91/15.16 truth big_V implies(A,A) <-> implies(truth big_V implies(A,truth),truth)
% 14.91/15.16 Current number of equations to process: 2028
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 705
% 14.91/15.16 New rule produced :
% 14.91/15.16 [711]
% 14.91/15.16 implies(truth big_V implies(A,truth),truth) <-> truth big_V implies(A,A)
% 14.91/15.16 Current number of equations to process: 2028
% 14.91/15.16 Current number of ordered equations: 0
% 14.91/15.16 Current number of rules: 706
% 14.91/15.16 New rule produced :
% 14.91/15.16 [712] implies((truth big_V A) big_V A,A) <-> (A big_V A) big_V A
% 14.91/15.16 Current number of equations to process: 2027
% 14.91/15.16 Current number of ordered equations: 1
% 14.91/15.16 Current number of rules: 707
% 14.91/15.16 New rule produced :
% 14.91/15.16 [713] (A big_V A) big_V A <-> implies((truth big_V A) big_V A,A)
% 15.20/15.43 Current number of equations to process: 2027
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 708
% 15.20/15.43 New rule produced :
% 15.20/15.43 [714] implies(A,B) big_V B <-> implies(truth,implies(A big_V B,B))
% 15.20/15.43 Current number of equations to process: 2024
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 709
% 15.20/15.43 New rule produced :
% 15.20/15.43 [715] implies(truth,implies(A big_V B,B)) <-> implies(A,B) big_V B
% 15.20/15.43 Current number of equations to process: 2024
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 710
% 15.20/15.43 New rule produced :
% 15.20/15.43 [716] implies(implies(truth,truth),A) big_V A <-> implies(implies(A,A),A)
% 15.20/15.43 Current number of equations to process: 2022
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 711
% 15.20/15.43 New rule produced :
% 15.20/15.43 [717] implies(implies(A,A),A) <-> implies(implies(truth,truth),A) big_V A
% 15.20/15.43 Current number of equations to process: 2022
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 712
% 15.20/15.43 New rule produced :
% 15.20/15.43 [718]
% 15.20/15.43 truth big_V implies(A,truth) <-> implies(implies(truth,implies(A,A)),truth)
% 15.20/15.43 Current number of equations to process: 2020
% 15.20/15.43 Current number of ordered equations: 3
% 15.20/15.43 Current number of rules: 713
% 15.20/15.43 New rule produced :
% 15.20/15.43 [719] implies(truth,A) big_V A <-> implies(implies(truth,implies(A,A)),A)
% 15.20/15.43 Current number of equations to process: 2020
% 15.20/15.43 Current number of ordered equations: 2
% 15.20/15.43 Current number of rules: 714
% 15.20/15.43 New rule produced :
% 15.20/15.43 [720] implies(implies(truth,implies(A,A)),A) <-> implies(truth,A) big_V A
% 15.20/15.43 Current number of equations to process: 2020
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 715
% 15.20/15.43 New rule produced :
% 15.20/15.43 [721]
% 15.20/15.43 implies(implies(truth,implies(A,A)),truth) <-> truth big_V implies(A,truth)
% 15.20/15.43 Current number of equations to process: 2020
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 716
% 15.20/15.43 New rule produced :
% 15.20/15.43 [722] implies(A,A) big_V A <-> implies(implies(truth big_V A,A),A)
% 15.20/15.43 Current number of equations to process: 2019
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 717
% 15.20/15.43 New rule produced :
% 15.20/15.43 [723] implies(implies(truth big_V A,A),A) <-> implies(A,A) big_V A
% 15.20/15.43 Current number of equations to process: 2019
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 718
% 15.20/15.43 New rule produced :
% 15.20/15.43 [724] B <-> implies(ifeq(ordered(truth,A),true,A,truth),B)
% 15.20/15.43 Current number of equations to process: 2017
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 719
% 15.20/15.43 New rule produced :
% 15.20/15.43 [725] implies(ifeq(ordered(truth,A),true,A,truth),B) <-> B
% 15.20/15.43 Current number of equations to process: 2017
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 720
% 15.20/15.43 New rule produced :
% 15.20/15.43 [726] ifeq(ordered(truth,C),true,C,truth) <-> ifeq(A,A,truth,B)
% 15.20/15.43 Current number of equations to process: 2016
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 721
% 15.20/15.43 New rule produced :
% 15.20/15.43 [727] ifeq(A,A,truth,B) <-> ifeq(ordered(truth,C),true,C,truth)
% 15.20/15.43 Current number of equations to process: 2016
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 722
% 15.20/15.43 New rule produced :
% 15.20/15.43 [728] ifeq(ordered(truth,C),true,C,truth) <-> ifeq2(A,A,truth,B)
% 15.20/15.43 Current number of equations to process: 2015
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 723
% 15.20/15.43 New rule produced :
% 15.20/15.43 [729] ifeq2(A,A,truth,B) <-> ifeq(ordered(truth,C),true,C,truth)
% 15.20/15.43 Current number of equations to process: 2015
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 724
% 15.20/15.43 New rule produced :
% 15.20/15.43 [730] truth <-> truth big_V ifeq(ordered(truth,A),true,A,truth)
% 15.20/15.43 Current number of equations to process: 2014
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 725
% 15.20/15.43 New rule produced :
% 15.20/15.43 [731] truth big_V ifeq(ordered(truth,A),true,A,truth) <-> truth
% 15.20/15.43 Current number of equations to process: 2014
% 15.20/15.43 Current number of ordered equations: 0
% 15.20/15.43 Current number of rules: 726
% 15.20/15.43 New rule produced :
% 15.20/15.43 [732]
% 15.20/15.43 implies(truth,implies(truth,truth)) <-> ifeq(ordered(truth,A),true,A,truth)
% 15.20/15.43 Current number of equations to process: 2013
% 15.20/15.43 Current number of ordered equations: 1
% 15.20/15.43 Current number of rules: 727
% 15.20/15.43 New rule produced :
% 15.20/15.43 [733]
% 15.20/15.43 ifeq(ordered(truth,A),true,A,truth) <-> implies(truth,implies(truth,truth))
% 15.20/15.43 Current number of equations to process: 2013
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 728
% 15.51/15.78 New rule produced :
% 15.51/15.78 [734]
% 15.51/15.78 implies(implies(truth,truth),truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 15.51/15.78 Current number of equations to process: 2012
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 729
% 15.51/15.78 New rule produced :
% 15.51/15.78 [735]
% 15.51/15.78 ifeq(ordered(truth,A),true,A,truth) <-> implies(implies(truth,truth),truth)
% 15.51/15.78 Current number of equations to process: 2012
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 730
% 15.51/15.78 New rule produced :
% 15.51/15.78 [736] truth <-> implies(truth,ifeq(ordered(truth,A),true,A,truth))
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 7
% 15.51/15.78 Current number of rules: 731
% 15.51/15.78 New rule produced :
% 15.51/15.78 [737] truth <-> ifeq(ordered(truth,A),implies(truth,true),A,truth)
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 6
% 15.51/15.78 Current number of rules: 732
% 15.51/15.78 New rule produced :
% 15.51/15.78 [738] truth <-> ifeq(implies(truth,ordered(truth,A)),true,A,truth)
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 5
% 15.51/15.78 Current number of rules: 733
% 15.51/15.78 New rule produced :
% 15.51/15.78 [739] truth <-> ifeq(ordered(truth,A),true,A,implies(truth,truth))
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 4
% 15.51/15.78 Current number of rules: 734
% 15.51/15.78 New rule produced :
% 15.51/15.78 [740] implies(truth,ifeq(ordered(truth,A),true,A,truth)) <-> truth
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 3
% 15.51/15.78 Current number of rules: 735
% 15.51/15.78 New rule produced :
% 15.51/15.78 [741] ifeq(ordered(truth,A),implies(truth,true),A,truth) <-> truth
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 2
% 15.51/15.78 Current number of rules: 736
% 15.51/15.78 New rule produced :
% 15.51/15.78 [742] ifeq(implies(truth,ordered(truth,A)),true,A,truth) <-> truth
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 737
% 15.51/15.78 New rule produced :
% 15.51/15.78 [743] ifeq(ordered(truth,A),true,A,implies(truth,truth)) <-> truth
% 15.51/15.78 Current number of equations to process: 2007
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 738
% 15.51/15.78 New rule produced :
% 15.51/15.78 [744] truth <-> ifeq(ordered(truth big_V truth,A),true,A,truth)
% 15.51/15.78 Current number of equations to process: 2005
% 15.51/15.78 Current number of ordered equations: 3
% 15.51/15.78 Current number of rules: 739
% 15.51/15.78 New rule produced :
% 15.51/15.78 [745] truth <-> ifeq(ordered(truth,A),true,A,truth big_V truth)
% 15.51/15.78 Current number of equations to process: 2005
% 15.51/15.78 Current number of ordered equations: 2
% 15.51/15.78 Current number of rules: 740
% 15.51/15.78 New rule produced :
% 15.51/15.78 [746] ifeq(ordered(truth big_V truth,A),true,A,truth) <-> truth
% 15.51/15.78 Current number of equations to process: 2005
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 741
% 15.51/15.78 New rule produced :
% 15.51/15.78 [747] ifeq(ordered(truth,A),true,A,truth big_V truth) <-> truth
% 15.51/15.78 Current number of equations to process: 2005
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 742
% 15.51/15.78 New rule produced :
% 15.51/15.78 [748] B <-> implies(implies(implies(not(A),not(truth)),A),B)
% 15.51/15.78 Current number of equations to process: 2004
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 743
% 15.51/15.78 New rule produced :
% 15.51/15.78 [749] implies(implies(implies(not(A),not(truth)),A),B) <-> B
% 15.51/15.78 Current number of equations to process: 2004
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 744
% 15.51/15.78 New rule produced :
% 15.51/15.78 [750] ifeq(A,A,truth,B) <-> implies(implies(not(C),not(truth)),C)
% 15.51/15.78 Current number of equations to process: 2003
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 745
% 15.51/15.78 New rule produced :
% 15.51/15.78 [751] implies(implies(not(C),not(truth)),C) <-> ifeq(A,A,truth,B)
% 15.51/15.78 Current number of equations to process: 2003
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 746
% 15.51/15.78 New rule produced :
% 15.51/15.78 [752] ifeq2(A,A,truth,B) <-> implies(implies(not(C),not(truth)),C)
% 15.51/15.78 Current number of equations to process: 2002
% 15.51/15.78 Current number of ordered equations: 1
% 15.51/15.78 Current number of rules: 747
% 15.51/15.78 New rule produced :
% 15.51/15.78 [753] implies(implies(not(C),not(truth)),C) <-> ifeq2(A,A,truth,B)
% 15.51/15.78 Current number of equations to process: 2002
% 15.51/15.78 Current number of ordered equations: 0
% 15.51/15.78 Current number of rules: 748
% 15.94/16.15 New rule produced :
% 15.94/16.15 [754] truth <-> truth big_V implies(implies(not(A),not(truth)),A)
% 15.94/16.15 Current number of equations to process: 2001
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 749
% 15.94/16.15 New rule produced :
% 15.94/16.15 [755] truth big_V implies(implies(not(A),not(truth)),A) <-> truth
% 15.94/16.15 Current number of equations to process: 2001
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 750
% 15.94/16.15 New rule produced :
% 15.94/16.15 [756]
% 15.94/16.15 implies(truth,implies(truth,truth)) <-> implies(implies(not(A),not(truth)),A)
% 15.94/16.15 Current number of equations to process: 2000
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 751
% 15.94/16.15 New rule produced :
% 15.94/16.15 [757]
% 15.94/16.15 implies(implies(not(A),not(truth)),A) <-> implies(truth,implies(truth,truth))
% 15.94/16.15 Current number of equations to process: 2000
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 752
% 15.94/16.15 New rule produced :
% 15.94/16.15 [758]
% 15.94/16.15 implies(implies(truth,truth),truth) <-> implies(implies(not(A),not(truth)),A)
% 15.94/16.15 Current number of equations to process: 1999
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 753
% 15.94/16.15 New rule produced :
% 15.94/16.15 [759]
% 15.94/16.15 implies(implies(not(A),not(truth)),A) <-> implies(implies(truth,truth),truth)
% 15.94/16.15 Current number of equations to process: 1999
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 754
% 15.94/16.15 New rule produced :
% 15.94/16.15 [760] truth <-> implies(implies(implies(truth,not(A)),not(truth)),A)
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 7
% 15.94/16.15 Current number of rules: 755
% 15.94/16.15 New rule produced :
% 15.94/16.15 [761] truth <-> implies(implies(not(A),implies(truth,not(truth))),A)
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 6
% 15.94/16.15 Current number of rules: 756
% 15.94/16.15 New rule produced :
% 15.94/16.15 [762] truth <-> implies(truth,implies(implies(not(A),not(truth)),A))
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 5
% 15.94/16.15 Current number of rules: 757
% 15.94/16.15 New rule produced :
% 15.94/16.15 [763] truth <-> implies(implies(truth,implies(not(A),not(truth))),A)
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 4
% 15.94/16.15 Current number of rules: 758
% 15.94/16.15 New rule produced :
% 15.94/16.15 [764] implies(implies(implies(truth,not(A)),not(truth)),A) <-> truth
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 3
% 15.94/16.15 Current number of rules: 759
% 15.94/16.15 New rule produced :
% 15.94/16.15 [765] implies(implies(not(A),implies(truth,not(truth))),A) <-> truth
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 2
% 15.94/16.15 Current number of rules: 760
% 15.94/16.15 New rule produced :
% 15.94/16.15 [766] implies(truth,implies(implies(not(A),not(truth)),A)) <-> truth
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 761
% 15.94/16.15 New rule produced :
% 15.94/16.15 [767] implies(implies(truth,implies(not(A),not(truth))),A) <-> truth
% 15.94/16.15 Current number of equations to process: 1994
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 762
% 15.94/16.15 New rule produced :
% 15.94/16.15 [768] truth <-> implies(implies(A,not(implies(A,not(truth)))),truth)
% 15.94/16.15 Current number of equations to process: 1993
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 763
% 15.94/16.15 New rule produced :
% 15.94/16.15 [769] implies(implies(A,not(implies(A,not(truth)))),truth) <-> truth
% 15.94/16.15 Current number of equations to process: 1993
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 764
% 15.94/16.15 New rule produced :
% 15.94/16.15 [770] truth <-> implies(implies(not(A),not(truth big_V truth)),A)
% 15.94/16.15 Current number of equations to process: 1992
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 765
% 15.94/16.15 New rule produced :
% 15.94/16.15 [771] implies(implies(not(A),not(truth big_V truth)),A) <-> truth
% 15.94/16.15 Current number of equations to process: 1992
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 766
% 15.94/16.15 New rule produced :
% 15.94/16.15 [772] ifeq(A,A,true,B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 15.94/16.15 Current number of equations to process: 1991
% 15.94/16.15 Current number of ordered equations: 1
% 15.94/16.15 Current number of rules: 767
% 15.94/16.15 New rule produced :
% 15.94/16.15 [773] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq(A,A,true,B)
% 15.94/16.15 Current number of equations to process: 1991
% 15.94/16.15 Current number of ordered equations: 0
% 15.94/16.15 Current number of rules: 768
% 15.94/16.15 New rule produced :
% 16.64/16.89 [774] ifeq2(C,truth,ordered(truth,C),true) <-> ifeq2(A,A,true,B)
% 16.64/16.89 Current number of equations to process: 1990
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 769
% 16.64/16.89 New rule produced :
% 16.64/16.89 [775] ifeq2(A,A,true,B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 16.64/16.89 Current number of equations to process: 1990
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 770
% 16.64/16.89 New rule produced :
% 16.64/16.89 [776]
% 16.64/16.89 implies(truth,implies(truth,true)) <-> ifeq2(A,truth,ordered(truth,A),true)
% 16.64/16.89 Current number of equations to process: 1989
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 771
% 16.64/16.89 New rule produced :
% 16.64/16.89 [777]
% 16.64/16.89 ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth,implies(truth,true))
% 16.64/16.89 Current number of equations to process: 1989
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 772
% 16.64/16.89 New rule produced :
% 16.64/16.89 [778]
% 16.64/16.89 implies(implies(truth,truth),true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 16.64/16.89 Current number of equations to process: 1988
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 773
% 16.64/16.89 New rule produced :
% 16.64/16.89 [779]
% 16.64/16.89 ifeq2(A,truth,ordered(truth,A),true) <-> implies(implies(truth,truth),true)
% 16.64/16.89 Current number of equations to process: 1988
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 774
% 16.64/16.89 New rule produced :
% 16.64/16.89 [780] true <-> implies(truth,ifeq2(A,truth,ordered(truth,A),true))
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 7
% 16.64/16.89 Current number of rules: 775
% 16.64/16.89 New rule produced :
% 16.64/16.89 [781] true <-> ifeq2(A,implies(truth,truth),ordered(truth,A),true)
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 6
% 16.64/16.89 Current number of rules: 776
% 16.64/16.89 New rule produced :
% 16.64/16.89 [782] true <-> ifeq2(A,truth,ordered(truth,A),implies(truth,true))
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 5
% 16.64/16.89 Current number of rules: 777
% 16.64/16.89 New rule produced :
% 16.64/16.89 [783] true <-> ifeq2(A,truth,implies(truth,ordered(truth,A)),true)
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 4
% 16.64/16.89 Current number of rules: 778
% 16.64/16.89 New rule produced :
% 16.64/16.89 [784] implies(truth,ifeq2(A,truth,ordered(truth,A),true)) <-> true
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 3
% 16.64/16.89 Current number of rules: 779
% 16.64/16.89 New rule produced :
% 16.64/16.89 [785] ifeq2(A,implies(truth,truth),ordered(truth,A),true) <-> true
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 2
% 16.64/16.89 Current number of rules: 780
% 16.64/16.89 New rule produced :
% 16.64/16.89 [786] ifeq2(A,truth,ordered(truth,A),implies(truth,true)) <-> true
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 781
% 16.64/16.89 New rule produced :
% 16.64/16.89 [787] ifeq2(A,truth,implies(truth,ordered(truth,A)),true) <-> true
% 16.64/16.89 Current number of equations to process: 1983
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 782
% 16.64/16.89 New rule produced :
% 16.64/16.89 [788] true <-> ifeq2(A,truth,ordered(truth big_V truth,A),true)
% 16.64/16.89 Current number of equations to process: 1981
% 16.64/16.89 Current number of ordered equations: 3
% 16.64/16.89 Current number of rules: 783
% 16.64/16.89 New rule produced :
% 16.64/16.89 [789] true <-> ifeq2(A,truth big_V truth,ordered(truth,A),true)
% 16.64/16.89 Current number of equations to process: 1981
% 16.64/16.89 Current number of ordered equations: 2
% 16.64/16.89 Current number of rules: 784
% 16.64/16.89 New rule produced :
% 16.64/16.89 [790] ifeq2(A,truth,ordered(truth big_V truth,A),true) <-> true
% 16.64/16.89 Current number of equations to process: 1981
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 785
% 16.64/16.89 New rule produced :
% 16.64/16.89 [791] ifeq2(A,truth big_V truth,ordered(truth,A),true) <-> true
% 16.64/16.89 Current number of equations to process: 1981
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 786
% 16.64/16.89 New rule produced :
% 16.64/16.89 [792] implies(truth,truth) big_V A <-> ifeq(B,B,truth big_V A,C)
% 16.64/16.89 Current number of equations to process: 2018
% 16.64/16.89 Current number of ordered equations: 1
% 16.64/16.89 Current number of rules: 787
% 16.64/16.89 New rule produced :
% 16.64/16.89 [793] ifeq(B,B,truth big_V A,C) <-> implies(truth,truth) big_V A
% 16.64/16.89 Current number of equations to process: 2018
% 16.64/16.89 Current number of ordered equations: 0
% 16.64/16.89 Current number of rules: 788
% 16.64/16.89 New rule produced : [794] ifeq(C,C,truth big_V truth,X) <-> ifeq(A,A,truth,B)
% 18.72/18.98 Current number of equations to process: 2017
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 789
% 18.72/18.98 New rule produced : [795] ifeq(A,A,truth,B) <-> ifeq(C,C,truth big_V truth,X)
% 18.72/18.98 Current number of equations to process: 2017
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 790
% 18.72/18.98 New rule produced :
% 18.72/18.98 [796] ifeq(C,C,truth big_V truth,X) <-> ifeq2(A,A,truth,B)
% 18.72/18.98 Current number of equations to process: 2016
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 791
% 18.72/18.98 New rule produced :
% 18.72/18.98 [797] ifeq2(A,A,truth,B) <-> ifeq(C,C,truth big_V truth,X)
% 18.72/18.98 Current number of equations to process: 2016
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 792
% 18.72/18.98 New rule produced : [798] (eq)(truth,truth big_V ifeq(A,A,truth,B)) -> (true)
% 18.72/18.98 Current number of equations to process: 2065
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 793
% 18.72/18.98 New rule produced :
% 18.72/18.98 [799] truth <-> implies(truth,truth big_V ifeq(A,A,truth,B))
% 18.72/18.98 Current number of equations to process: 2064
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 794
% 18.72/18.98 New rule produced :
% 18.72/18.98 [800] implies(truth,truth big_V ifeq(A,A,truth,B)) <-> truth
% 18.72/18.98 Current number of equations to process: 2064
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 795
% 18.72/18.98 New rule produced : [801] C <-> implies(truth big_V ifeq(A,A,truth,B),C)
% 18.72/18.98 Current number of equations to process: 2063
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 796
% 18.72/18.98 New rule produced : [802] implies(truth big_V ifeq(A,A,truth,B),C) <-> C
% 18.72/18.98 Current number of equations to process: 2063
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 797
% 18.72/18.98 New rule produced :
% 18.72/18.98 [803] implies(truth,truth big_V A) <-> ifeq(B,B,truth,C) big_V A
% 18.72/18.98 Current number of equations to process: 2062
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 798
% 18.72/18.98 New rule produced :
% 18.72/18.98 [804] ifeq(B,B,truth,C) big_V A <-> implies(truth,truth big_V A)
% 18.72/18.98 Current number of equations to process: 2062
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 799
% 18.72/18.98 New rule produced : [805] truth big_V ifeq(C,C,truth,X) <-> ifeq(A,A,truth,B)
% 18.72/18.98 Rule [608] truth big_V ifeq(A,A,truth,B) <-> ifeq(A,A,truth,B) collapsed.
% 18.72/18.98 Current number of equations to process: 2061
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 799
% 18.72/18.98 New rule produced : [806] ifeq(A,A,truth,B) <-> truth big_V ifeq(C,C,truth,X)
% 18.72/18.98 Rule [609] ifeq(A,A,truth,B) <-> truth big_V ifeq(A,A,truth,B) collapsed.
% 18.72/18.98 Current number of equations to process: 2061
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 799
% 18.72/18.98 New rule produced :
% 18.72/18.98 [807] truth big_V ifeq(C,C,truth,X) <-> ifeq2(A,A,truth,B)
% 18.72/18.98 Current number of equations to process: 2060
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 800
% 18.72/18.98 New rule produced :
% 18.72/18.98 [808] ifeq2(A,A,truth,B) <-> truth big_V ifeq(C,C,truth,X)
% 18.72/18.98 Current number of equations to process: 2060
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 801
% 18.72/18.98 New rule produced :
% 18.72/18.98 [809] implies(implies(A,truth),truth) <-> ifeq(B,B,truth,C) big_V A
% 18.72/18.98 Current number of equations to process: 2059
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 802
% 18.72/18.98 New rule produced :
% 18.72/18.98 [810] ifeq(B,B,truth,C) big_V A <-> implies(implies(A,truth),truth)
% 18.72/18.98 Current number of equations to process: 2059
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 803
% 18.72/18.98 New rule produced :
% 18.72/18.98 [811] implies(implies(truth,A),A) <-> ifeq(B,B,implies(A,A),C)
% 18.72/18.98 Current number of equations to process: 2148
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 804
% 18.72/18.98 New rule produced :
% 18.72/18.98 [812] ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,A),A)
% 18.72/18.98 Current number of equations to process: 2148
% 18.72/18.98 Current number of ordered equations: 0
% 18.72/18.98 Current number of rules: 805
% 18.72/18.98 New rule produced :
% 18.72/18.98 [813] (truth big_V truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 18.72/18.98 Current number of equations to process: 2179
% 18.72/18.98 Current number of ordered equations: 1
% 18.72/18.98 Current number of rules: 806
% 18.72/18.98 New rule produced :
% 18.72/18.98 [814] ifeq(B,B,implies(A,A),C) <-> (truth big_V truth) big_V A
% 18.72/18.98 Current number of equations to process: 2179
% 18.72/18.98 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 807
% 20.42/20.63 New rule produced :
% 20.42/20.63 [815] implies(truth big_V truth,truth) <-> ifeq(A,A,implies(truth,truth),B)
% 20.42/20.63 Current number of equations to process: 2178
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 808
% 20.42/20.63 New rule produced :
% 20.42/20.63 [816] ifeq(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 20.42/20.63 Current number of equations to process: 2178
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 809
% 20.42/20.63 New rule produced :
% 20.42/20.63 [817] implies(truth,truth) big_V A <-> ifeq2(B,B,truth big_V A,C)
% 20.42/20.63 Current number of equations to process: 2248
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 810
% 20.42/20.63 New rule produced :
% 20.42/20.63 [818] ifeq2(B,B,truth big_V A,C) <-> implies(truth,truth) big_V A
% 20.42/20.63 Current number of equations to process: 2248
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 811
% 20.42/20.63 New rule produced :
% 20.42/20.63 [819] ifeq2(C,C,truth big_V truth,X) <-> ifeq(A,A,truth,B)
% 20.42/20.63 Current number of equations to process: 2247
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 812
% 20.42/20.63 New rule produced :
% 20.42/20.63 [820] ifeq(A,A,truth,B) <-> ifeq2(C,C,truth big_V truth,X)
% 20.42/20.63 Current number of equations to process: 2247
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 813
% 20.42/20.63 New rule produced :
% 20.42/20.63 [821] ifeq2(C,C,truth big_V truth,X) <-> ifeq2(A,A,truth,B)
% 20.42/20.63 Current number of equations to process: 2246
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 814
% 20.42/20.63 New rule produced :
% 20.42/20.63 [822] ifeq2(A,A,truth,B) <-> ifeq2(C,C,truth big_V truth,X)
% 20.42/20.63 Current number of equations to process: 2246
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 815
% 20.42/20.63 New rule produced :
% 20.42/20.63 [823] (eq)(truth,truth big_V ifeq2(A,A,truth,B)) -> (true)
% 20.42/20.63 Current number of equations to process: 2297
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 816
% 20.42/20.63 New rule produced :
% 20.42/20.63 [824] truth <-> implies(truth,truth big_V ifeq2(A,A,truth,B))
% 20.42/20.63 Current number of equations to process: 2296
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 817
% 20.42/20.63 New rule produced :
% 20.42/20.63 [825] implies(truth,truth big_V ifeq2(A,A,truth,B)) <-> truth
% 20.42/20.63 Current number of equations to process: 2296
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 818
% 20.42/20.63 New rule produced : [826] C <-> implies(truth big_V ifeq2(A,A,truth,B),C)
% 20.42/20.63 Current number of equations to process: 2295
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 819
% 20.42/20.63 New rule produced : [827] implies(truth big_V ifeq2(A,A,truth,B),C) <-> C
% 20.42/20.63 Current number of equations to process: 2295
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 820
% 20.42/20.63 New rule produced :
% 20.42/20.63 [828] implies(truth,truth big_V A) <-> ifeq2(B,B,truth,C) big_V A
% 20.42/20.63 Current number of equations to process: 2294
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 821
% 20.42/20.63 New rule produced :
% 20.42/20.63 [829] ifeq2(B,B,truth,C) big_V A <-> implies(truth,truth big_V A)
% 20.42/20.63 Current number of equations to process: 2294
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 822
% 20.42/20.63 New rule produced :
% 20.42/20.63 [830] truth big_V ifeq2(C,C,truth,X) <-> ifeq(A,A,truth,B)
% 20.42/20.63 Current number of equations to process: 2293
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 823
% 20.42/20.63 New rule produced :
% 20.42/20.63 [831] ifeq(A,A,truth,B) <-> truth big_V ifeq2(C,C,truth,X)
% 20.42/20.63 Current number of equations to process: 2293
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 824
% 20.42/20.63 New rule produced :
% 20.42/20.63 [832] truth big_V ifeq2(C,C,truth,X) <-> ifeq2(A,A,truth,B)
% 20.42/20.63 Rule [630] truth big_V ifeq2(A,A,truth,B) <-> ifeq2(A,A,truth,B) collapsed.
% 20.42/20.63 Current number of equations to process: 2292
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 824
% 20.42/20.63 New rule produced :
% 20.42/20.63 [833] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(C,C,truth,X)
% 20.42/20.63 Rule [631] ifeq2(A,A,truth,B) <-> truth big_V ifeq2(A,A,truth,B) collapsed.
% 20.42/20.63 Current number of equations to process: 2292
% 20.42/20.63 Current number of ordered equations: 0
% 20.42/20.63 Current number of rules: 824
% 20.42/20.63 New rule produced :
% 20.42/20.63 [834] implies(implies(A,truth),truth) <-> ifeq2(B,B,truth,C) big_V A
% 20.42/20.63 Current number of equations to process: 2291
% 20.42/20.63 Current number of ordered equations: 1
% 20.42/20.63 Current number of rules: 825
% 24.52/24.72 New rule produced :
% 24.52/24.72 [835] ifeq2(B,B,truth,C) big_V A <-> implies(implies(A,truth),truth)
% 24.52/24.72 Current number of equations to process: 2291
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 826
% 24.52/24.72 New rule produced :
% 24.52/24.72 [836] implies(implies(truth,A),A) <-> ifeq2(B,B,implies(A,A),C)
% 24.52/24.72 Current number of equations to process: 2384
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 827
% 24.52/24.72 New rule produced :
% 24.52/24.72 [837] ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,A),A)
% 24.52/24.72 Current number of equations to process: 2384
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 828
% 24.52/24.72 New rule produced :
% 24.52/24.72 [838] (truth big_V truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 24.52/24.72 Current number of equations to process: 2416
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 829
% 24.52/24.72 New rule produced :
% 24.52/24.72 [839] ifeq2(B,B,implies(A,A),C) <-> (truth big_V truth) big_V A
% 24.52/24.72 Current number of equations to process: 2416
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 830
% 24.52/24.72 New rule produced :
% 24.52/24.72 [840] implies(truth big_V truth,truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 24.52/24.72 Current number of equations to process: 2415
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 831
% 24.52/24.72 New rule produced :
% 24.52/24.72 [841] ifeq2(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 24.52/24.72 Current number of equations to process: 2415
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 832
% 24.52/24.72 New rule produced :
% 24.52/24.72 [842] implies(truth,implies(implies(A,A),A)) <-> implies(truth big_V A,A)
% 24.52/24.72 Current number of equations to process: 2474
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 833
% 24.52/24.72 New rule produced :
% 24.52/24.72 [843] implies(truth big_V A,A) <-> implies(truth,implies(implies(A,A),A))
% 24.52/24.72 Current number of equations to process: 2474
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 834
% 24.52/24.72 New rule produced :
% 24.52/24.72 [844]
% 24.52/24.72 implies(truth,implies(A,A)) <-> implies(implies(truth,implies(truth,A)),A)
% 24.52/24.72 Current number of equations to process: 2527
% 24.52/24.72 Current number of ordered equations: 3
% 24.52/24.72 Current number of rules: 835
% 24.52/24.72 New rule produced :
% 24.52/24.72 [845]
% 24.52/24.72 implies(truth,implies(A,A)) <->
% 24.52/24.72 implies(implies(truth,implies(A,truth)),truth)
% 24.52/24.72 Current number of equations to process: 2527
% 24.52/24.72 Current number of ordered equations: 2
% 24.52/24.72 Current number of rules: 836
% 24.52/24.72 New rule produced :
% 24.52/24.72 [846]
% 24.52/24.72 implies(implies(truth,implies(truth,A)),A) <-> implies(truth,implies(A,A))
% 24.52/24.72 Current number of equations to process: 2527
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 837
% 24.52/24.72 New rule produced :
% 24.52/24.72 [847]
% 24.52/24.72 implies(implies(truth,implies(A,truth)),truth) <->
% 24.52/24.72 implies(truth,implies(A,A))
% 24.52/24.72 Current number of equations to process: 2527
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 838
% 24.52/24.72 New rule produced :
% 24.52/24.72 [848] implies(truth,truth) <-> not(truth) big_V not(not(truth))
% 24.52/24.72 Current number of equations to process: 2588
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 839
% 24.52/24.72 New rule produced :
% 24.52/24.72 [849] not(truth) big_V not(not(truth)) <-> implies(truth,truth)
% 24.52/24.72 Current number of equations to process: 2588
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 840
% 24.52/24.72 New rule produced : [850] (eq)(implies(implies(A,B),B),A big_V B) -> (true)
% 24.52/24.72 Current number of equations to process: 2611
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 841
% 24.52/24.72 New rule produced :
% 24.52/24.72 [851]
% 24.52/24.72 truth big_V implies(truth,A) <-> implies(truth,implies(A,implies(truth,A)))
% 24.52/24.72 Current number of equations to process: 2610
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 842
% 24.52/24.72 New rule produced :
% 24.52/24.72 [852]
% 24.52/24.72 implies(truth,implies(A,implies(truth,A))) <-> truth big_V implies(truth,A)
% 24.52/24.72 Current number of equations to process: 2610
% 24.52/24.72 Current number of ordered equations: 0
% 24.52/24.72 Current number of rules: 843
% 24.52/24.72 New rule produced :
% 24.52/24.72 [853]
% 24.52/24.72 truth big_V implies(A,truth) <-> implies(truth,implies(implies(A,A),truth))
% 24.52/24.72 Current number of equations to process: 2609
% 24.52/24.72 Current number of ordered equations: 1
% 24.52/24.72 Current number of rules: 844
% 24.52/24.72 New rule produced :
% 24.52/24.72 [854]
% 24.52/24.72 implies(truth,implies(implies(A,A),truth)) <-> truth big_V implies(A,truth)
% 24.52/24.72 Current number of equations to process: 2609
% 24.52/24.72 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 845
% 28.63/28.84 New rule produced :
% 28.63/28.84 [855] (truth big_V A) big_V A <-> implies(truth,implies(A big_V A,A))
% 28.63/28.84 Current number of equations to process: 2608
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 846
% 28.63/28.84 New rule produced :
% 28.63/28.84 [856] implies(truth,implies(A big_V A,A)) <-> (truth big_V A) big_V A
% 28.63/28.84 Current number of equations to process: 2608
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 847
% 28.63/28.84 New rule produced :
% 28.63/28.84 [857] implies(truth,implies(truth,A)) <-> implies(not(A),not(truth)) big_V A
% 28.63/28.84 Current number of equations to process: 2607
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 848
% 28.63/28.84 New rule produced :
% 28.63/28.84 [858] implies(not(A),not(truth)) big_V A <-> implies(truth,implies(truth,A))
% 28.63/28.84 Current number of equations to process: 2607
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 849
% 28.63/28.84 New rule produced :
% 28.63/28.84 [859] implies(truth,truth) big_V A <-> implies(implies(truth,A),A)
% 28.63/28.84 Current number of equations to process: 2629
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 850
% 28.63/28.84 New rule produced :
% 28.63/28.84 [860] implies(implies(truth,A),A) <-> implies(truth,truth) big_V A
% 28.63/28.84 Current number of equations to process: 2629
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 851
% 28.63/28.84 New rule produced :
% 28.63/28.84 [861] (truth big_V A) big_V A <-> implies(implies(truth,A big_V A),A)
% 28.63/28.84 Current number of equations to process: 2684
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 852
% 28.63/28.84 New rule produced :
% 28.63/28.84 [862] implies(implies(truth,A big_V A),A) <-> (truth big_V A) big_V A
% 28.63/28.84 Current number of equations to process: 2684
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 853
% 28.63/28.84 New rule produced :
% 28.63/28.84 [863] implies(implies(truth,A),A) <-> ifeq(B,B,truth,C) big_V A
% 28.63/28.84 Current number of equations to process: 2683
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 854
% 28.63/28.84 New rule produced :
% 28.63/28.84 [864] ifeq(B,B,truth,C) big_V A <-> implies(implies(truth,A),A)
% 28.63/28.84 Current number of equations to process: 2683
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 855
% 28.63/28.84 New rule produced :
% 28.63/28.84 [865] implies(implies(truth,A),A) <-> ifeq2(B,B,truth,C) big_V A
% 28.63/28.84 Current number of equations to process: 2682
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 856
% 28.63/28.84 New rule produced :
% 28.63/28.84 [866] ifeq2(B,B,truth,C) big_V A <-> implies(implies(truth,A),A)
% 28.63/28.84 Current number of equations to process: 2682
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 857
% 28.63/28.84 New rule produced :
% 28.63/28.84 [867] implies(implies(truth,truth),A) <-> implies(not(A),not(truth)) big_V A
% 28.63/28.84 Current number of equations to process: 2681
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 858
% 28.63/28.84 New rule produced :
% 28.63/28.84 [868] implies(not(A),not(truth)) big_V A <-> implies(implies(truth,truth),A)
% 28.63/28.84 Current number of equations to process: 2681
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 859
% 28.63/28.84 New rule produced :
% 28.63/28.84 [869] implies(truth,truth) <-> implies(truth big_V not(A),implies(A,A))
% 28.63/28.84 Current number of equations to process: 2774
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 860
% 28.63/28.84 New rule produced :
% 28.63/28.84 [870] implies(truth big_V not(A),implies(A,A)) <-> implies(truth,truth)
% 28.63/28.84 Current number of equations to process: 2774
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 861
% 28.63/28.84 New rule produced : [871] truth <-> implies(truth big_V not(A),truth big_V A)
% 28.63/28.84 Current number of equations to process: 2856
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 862
% 28.63/28.84 New rule produced : [872] implies(truth big_V not(A),truth big_V A) <-> truth
% 28.63/28.84 Current number of equations to process: 2856
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 863
% 28.63/28.84 New rule produced :
% 28.63/28.84 [873] truth big_V truth <-> implies(truth big_V not(A),implies(A,A))
% 28.63/28.84 Current number of equations to process: 2860
% 28.63/28.84 Current number of ordered equations: 1
% 28.63/28.84 Current number of rules: 864
% 28.63/28.84 New rule produced :
% 28.63/28.84 [874] implies(truth big_V not(A),implies(A,A)) <-> truth big_V truth
% 28.63/28.84 Current number of equations to process: 2860
% 28.63/28.84 Current number of ordered equations: 0
% 28.63/28.84 Current number of rules: 865
% 28.63/28.84 New rule produced :
% 73.49/73.73 [875] not(not(A) big_V not(B)) <-> implies(truth,implies(truth,A big_hat B))
% 73.49/73.73 Current number of equations to process: 2956
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 866
% 73.49/73.73 New rule produced :
% 73.49/73.73 [876] implies(truth,implies(truth,A big_hat B)) <-> not(not(A) big_V not(B))
% 73.49/73.73 Current number of equations to process: 2956
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 867
% 73.49/73.73 New rule produced :
% 73.49/73.73 [877] not(not(A) big_V not(B)) <-> implies(implies(truth,truth),A big_hat B)
% 73.49/73.73 Current number of equations to process: 2955
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 868
% 73.49/73.73 New rule produced :
% 73.49/73.73 [878] implies(implies(truth,truth),A big_hat B) <-> not(not(A) big_V not(B))
% 73.49/73.73 Current number of equations to process: 2955
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 869
% 73.49/73.73 New rule produced :
% 73.49/73.73 [879] not(not(A) big_V not(B)) <-> implies(truth big_V truth,A big_hat B)
% 73.49/73.73 Current number of equations to process: 2952
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 870
% 73.49/73.73 New rule produced :
% 73.49/73.73 [880] implies(truth big_V truth,A big_hat B) <-> not(not(A) big_V not(B))
% 73.49/73.73 Current number of equations to process: 2952
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 871
% 73.49/73.73 New rule produced : [881] ordered(truth,truth) <-> ifeq(A,A,true,B)
% 73.49/73.73 Current number of equations to process: 4625
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 872
% 73.49/73.73 New rule produced : [882] ifeq(A,A,true,B) <-> ordered(truth,truth)
% 73.49/73.73 Current number of equations to process: 4625
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 873
% 73.49/73.73 New rule produced : [883] ordered(truth,truth) <-> ifeq2(A,A,true,B)
% 73.49/73.73 Current number of equations to process: 4925
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 874
% 73.49/73.73 New rule produced : [884] ifeq2(A,A,true,B) <-> ordered(truth,truth)
% 73.49/73.73 Current number of equations to process: 4925
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 875
% 73.49/73.73 New rule produced :
% 73.49/73.73 [885] implies(truth,A big_V B) <-> implies(implies(truth,implies(B,A)),A)
% 73.49/73.73 Current number of equations to process: 2498
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 876
% 73.49/73.73 New rule produced :
% 73.49/73.73 [886] implies(implies(truth,implies(B,A)),A) <-> implies(truth,A big_V B)
% 73.49/73.73 Current number of equations to process: 2498
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 877
% 73.49/73.73 New rule produced :
% 73.49/73.73 [887] (truth big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 73.49/73.73 Current number of equations to process: 2610
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 878
% 73.49/73.73 New rule produced :
% 73.49/73.73 [888] implies(implies(implies(A,A),A),A) <-> (truth big_V A) big_V A
% 73.49/73.73 Current number of equations to process: 2610
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 879
% 73.49/73.73 New rule produced :
% 73.49/73.73 [889] truth big_V truth <-> ifeq(ordered(A,B),true,implies(A,B),truth)
% 73.49/73.73 Current number of equations to process: 3451
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 880
% 73.49/73.73 New rule produced :
% 73.49/73.73 [890] ifeq(ordered(A,B),true,implies(A,B),truth) <-> truth big_V truth
% 73.49/73.73 Current number of equations to process: 3451
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 881
% 73.49/73.73 New rule produced :
% 73.49/73.73 [891] truth big_V truth <-> implies(implies(not(A),not(B)),implies(B,A))
% 73.49/73.73 Current number of equations to process: 3450
% 73.49/73.73 Current number of ordered equations: 1
% 73.49/73.73 Current number of rules: 882
% 73.49/73.73 New rule produced :
% 73.49/73.73 [892] implies(implies(not(A),not(B)),implies(B,A)) <-> truth big_V truth
% 73.49/73.73 Current number of equations to process: 3450
% 73.49/73.73 Current number of ordered equations: 0
% 73.49/73.73 Current number of rules: 883
% 73.49/73.73 New rule produced :
% 73.49/73.73 [893] A big_V B <-> implies(truth,implies(truth,implies(implies(A,B),B)))
% 73.49/73.73 Current number of equations to process: 3448
% 73.49/73.73 Current number of ordered equations: 3
% 73.49/73.73 Current number of rules: 884
% 73.49/73.73 New rule produced :
% 73.49/73.73 [894] A big_V B <-> implies(implies(truth,implies(truth,implies(A,B))),B)
% 73.49/73.73 Current number of equations to process: 3448
% 73.49/73.73 Current number of ordered equations: 2
% 73.49/73.73 Current number of rules: 885
% 73.49/73.73 New rule produced :
% 73.49/73.73 [895] implies(truth,implies(truth,implies(implies(A,B),B))) <-> A big_V B
% 73.89/74.16 Current number of equations to process: 3448
% 73.89/74.16 Current number of ordered equations: 1
% 73.89/74.16 Current number of rules: 886
% 73.89/74.16 New rule produced :
% 73.89/74.16 [896] implies(implies(truth,implies(truth,implies(A,B))),B) <-> A big_V B
% 73.89/74.16 Current number of equations to process: 3448
% 73.89/74.16 Current number of ordered equations: 0
% 73.89/74.16 Current number of rules: 887
% 73.89/74.16 New rule produced :
% 73.89/74.16 [897] A big_V B <-> implies(implies(truth,truth),implies(implies(A,B),B))
% 73.89/74.16 Current number of equations to process: 3446
% 73.89/74.16 Current number of ordered equations: 3
% 73.89/74.16 Current number of rules: 888
% 73.89/74.16 New rule produced :
% 73.89/74.16 [898] A big_V B <-> implies(implies(implies(truth,truth),implies(A,B)),B)
% 73.89/74.16 Current number of equations to process: 3446
% 73.89/74.16 Current number of ordered equations: 2
% 73.89/74.16 Current number of rules: 889
% 73.89/74.16 New rule produced :
% 73.89/74.16 [899] implies(implies(truth,truth),implies(implies(A,B),B)) <-> A big_V B
% 73.89/74.16 Current number of equations to process: 3446
% 73.89/74.16 Current number of ordered equations: 1
% 73.89/74.16 Current number of rules: 890
% 73.89/74.16 New rule produced :
% 73.89/74.16 [900] implies(implies(implies(truth,truth),implies(A,B)),B) <-> A big_V B
% 73.89/74.17 Current number of equations to process: 3446
% 73.89/74.17 Current number of ordered equations: 0
% 73.89/74.17 Current number of rules: 891
% 73.89/74.17 New rule produced :
% 73.89/74.17 [901]
% 73.89/74.17 implies(A,A) <->
% 73.89/74.17 implies(implies(A,implies(truth,truth)),implies(truth,truth))
% 73.89/74.17 Current number of equations to process: 3445
% 73.89/74.17 Current number of ordered equations: 1
% 73.89/74.17 Current number of rules: 892
% 73.89/74.17 New rule produced :
% 73.89/74.17 [902]
% 73.89/74.17 implies(implies(A,implies(truth,truth)),implies(truth,truth)) <->
% 73.89/74.17 implies(A,A)
% 73.89/74.17 Current number of equations to process: 3445
% 73.89/74.17 Current number of ordered equations: 0
% 73.89/74.17 Current number of rules: 893
% 73.89/74.17 New rule produced :
% 73.89/74.17 [903] implies(B,B) <-> ifeq(A,A,implies(truth,truth) big_V B,C)
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 7
% 73.89/74.17 Current number of rules: 894
% 73.89/74.17 New rule produced :
% 73.89/74.17 [904] implies(C,C) <-> implies(truth,ifeq(A,A,truth,B)) big_V C
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 6
% 73.89/74.17 Current number of rules: 895
% 73.89/74.17 New rule produced :
% 73.89/74.17 [905] implies(C,C) <-> implies(ifeq(A,A,truth,B),truth) big_V C
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 5
% 73.89/74.17 Current number of rules: 896
% 73.89/74.17 New rule produced :
% 73.89/74.17 [906] implies(C,C) <-> ifeq(A,A,implies(truth,truth),B) big_V C
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 4
% 73.89/74.17 Current number of rules: 897
% 73.89/74.17 New rule produced :
% 73.89/74.17 [907] implies(truth,ifeq(A,A,truth,B)) big_V C <-> implies(C,C)
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 3
% 73.89/74.17 Current number of rules: 898
% 73.89/74.17 New rule produced :
% 73.89/74.17 [908] implies(ifeq(A,A,truth,B),truth) big_V C <-> implies(C,C)
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 2
% 73.89/74.17 Current number of rules: 899
% 73.89/74.17 New rule produced :
% 73.89/74.17 [909] ifeq(A,A,implies(truth,truth),B) big_V C <-> implies(C,C)
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 1
% 73.89/74.17 Current number of rules: 900
% 73.89/74.17 New rule produced :
% 73.89/74.17 [910] ifeq(A,A,implies(truth,truth) big_V B,C) <-> implies(B,B)
% 73.89/74.17 Current number of equations to process: 3441
% 73.89/74.17 Current number of ordered equations: 0
% 73.89/74.17 Current number of rules: 901
% 73.89/74.17 New rule produced :
% 73.89/74.17 [911] implies(B,B) <-> ifeq2(A,A,implies(truth,truth) big_V B,C)
% 73.89/74.17 Current number of equations to process: 3437
% 73.89/74.17 Current number of ordered equations: 7
% 73.89/74.17 Current number of rules: 902
% 73.89/74.17 New rule produced :
% 73.89/74.17 [912] implies(C,C) <-> implies(truth,ifeq2(A,A,truth,B)) big_V C
% 73.89/74.17 Current number of equations to process: 3437
% 73.89/74.17 Current number of ordered equations: 6
% 73.89/74.17 Current number of rules: 903
% 73.89/74.17 New rule produced :
% 73.89/74.17 [913] implies(C,C) <-> implies(ifeq2(A,A,truth,B),truth) big_V C
% 73.89/74.17 Current number of equations to process: 3437
% 73.89/74.17 Current number of ordered equations: 5
% 73.89/74.17 Current number of rules: 904
% 73.89/74.17 New rule produced :
% 73.89/74.17 [914] implies(C,C) <-> ifeq2(A,A,implies(truth,truth),B) big_V C
% 73.89/74.17 Current number of equations to process: 3437
% 73.89/74.17 Current number of ordered equations: 4
% 73.89/74.17 Current number of rules: 905
% 73.89/74.17 New rule produced :
% 73.89/74.17 [915] implies(truth,ifeq2(A,A,truth,B)) big_V C <-> implies(C,C)
% 73.89/74.17 Current number of equations to process: 3437
% 74.29/74.59 Current number of ordered equations: 3
% 74.29/74.59 Current number of rules: 906
% 74.29/74.59 New rule produced :
% 74.29/74.59 [916] implies(ifeq2(A,A,truth,B),truth) big_V C <-> implies(C,C)
% 74.29/74.59 Current number of equations to process: 3437
% 74.29/74.59 Current number of ordered equations: 2
% 74.29/74.59 Current number of rules: 907
% 74.29/74.59 New rule produced :
% 74.29/74.59 [917] ifeq2(A,A,implies(truth,truth),B) big_V C <-> implies(C,C)
% 74.29/74.59 Current number of equations to process: 3437
% 74.29/74.59 Current number of ordered equations: 1
% 74.29/74.59 Current number of rules: 908
% 74.29/74.59 New rule produced :
% 74.29/74.59 [918] ifeq2(A,A,implies(truth,truth) big_V B,C) <-> implies(B,B)
% 74.29/74.59 Current number of equations to process: 3437
% 74.29/74.59 Current number of ordered equations: 0
% 74.29/74.59 Current number of rules: 909
% 74.29/74.59 New rule produced :
% 74.29/74.59 [919]
% 74.29/74.59 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth) big_V A))
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 5
% 74.29/74.59 Current number of rules: 910
% 74.29/74.59 New rule produced :
% 74.29/74.59 [920]
% 74.29/74.59 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth))) big_V A
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 4
% 74.29/74.59 Current number of rules: 911
% 74.29/74.59 New rule produced :
% 74.29/74.59 [921]
% 74.29/74.59 implies(A,A) <-> implies(implies(truth,implies(truth,truth)),truth) big_V A
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 3
% 74.29/74.59 Current number of rules: 912
% 74.29/74.59 New rule produced :
% 74.29/74.59 [922]
% 74.29/74.59 implies(truth,implies(truth,implies(truth,truth) big_V A)) <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 2
% 74.29/74.59 Current number of rules: 913
% 74.29/74.59 New rule produced :
% 74.29/74.59 [923]
% 74.29/74.59 implies(truth,implies(truth,implies(truth,truth))) big_V A <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 1
% 74.29/74.59 Current number of rules: 914
% 74.29/74.59 New rule produced :
% 74.29/74.59 [924]
% 74.29/74.59 implies(implies(truth,implies(truth,truth)),truth) big_V A <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3433
% 74.29/74.59 Current number of ordered equations: 0
% 74.29/74.59 Current number of rules: 915
% 74.29/74.59 New rule produced :
% 74.29/74.59 [925]
% 74.29/74.59 implies(implies(implies(truth,truth),truth),truth) big_V A <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 7
% 74.29/74.59 Current number of rules: 916
% 74.29/74.59 New rule produced :
% 74.29/74.59 [926]
% 74.29/74.59 implies(A,A) <-> implies(implies(implies(truth,truth),truth),truth) big_V A
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 6
% 74.29/74.59 Current number of rules: 917
% 74.29/74.59 New rule produced :
% 74.29/74.59 [927]
% 74.29/74.59 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth) big_V A)
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 5
% 74.29/74.59 Current number of rules: 918
% 74.29/74.59 New rule produced :
% 74.29/74.59 [928]
% 74.29/74.59 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth)) big_V A
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 4
% 74.29/74.59 Current number of rules: 919
% 74.29/74.59 New rule produced :
% 74.29/74.59 [929]
% 74.29/74.59 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth)) big_V A
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 3
% 74.29/74.59 Current number of rules: 920
% 74.29/74.59 New rule produced :
% 74.29/74.59 [930]
% 74.29/74.59 implies(implies(truth,truth),implies(truth,truth) big_V A) <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 2
% 74.29/74.59 Current number of rules: 921
% 74.29/74.59 New rule produced :
% 74.29/74.59 [931]
% 74.29/74.59 implies(implies(truth,truth),implies(truth,truth)) big_V A <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 1
% 74.29/74.59 Current number of rules: 922
% 74.29/74.59 New rule produced :
% 74.29/74.59 [932]
% 74.29/74.59 implies(truth,implies(implies(truth,truth),truth)) big_V A <-> implies(A,A)
% 74.29/74.59 Current number of equations to process: 3429
% 74.29/74.59 Current number of ordered equations: 0
% 74.29/74.59 Current number of rules: 923
% 74.29/74.59 New rule produced :
% 74.29/74.59 [933] truth <-> implies(not(A) big_V implies(truth,truth),implies(A,A))
% 74.29/74.59 Current number of equations to process: 3428
% 74.29/74.59 Current number of ordered equations: 1
% 74.29/74.59 Current number of rules: 924
% 74.29/74.59 New rule produced :
% 74.29/74.59 [934] implies(not(A) big_V implies(truth,truth),implies(A,A)) <-> truth
% 74.29/74.59 Current number of equations to process: 3428
% 74.29/74.59 Current number of ordered equations: 0
% 74.29/74.59 Current number of rules: 925
% 74.29/74.59 New rule produced :
% 74.79/75.05 [935] truth <-> implies(implies(truth,truth big_V not(A)),implies(A,A))
% 74.79/75.05 Current number of equations to process: 3427
% 74.79/75.05 Current number of ordered equations: 1
% 74.79/75.05 Current number of rules: 926
% 74.79/75.05 New rule produced :
% 74.79/75.05 [936] implies(implies(truth,truth big_V not(A)),implies(A,A)) <-> truth
% 74.79/75.05 Current number of equations to process: 3427
% 74.79/75.05 Current number of ordered equations: 0
% 74.79/75.05 Current number of rules: 927
% 74.79/75.05 New rule produced :
% 74.79/75.05 [937] implies(B,B) <-> implies(truth,ifeq(A,A,truth big_V B,C))
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 7
% 74.79/75.05 Current number of rules: 928
% 74.79/75.05 New rule produced :
% 74.79/75.05 [938] implies(B,B) <-> ifeq(A,A,implies(truth,truth big_V B),C)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 6
% 74.79/75.05 Current number of rules: 929
% 74.79/75.05 New rule produced :
% 74.79/75.05 [939] implies(C,C) <-> implies(truth,ifeq(A,A,truth,B) big_V C)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 5
% 74.79/75.05 Current number of rules: 930
% 74.79/75.05 New rule produced :
% 74.79/75.05 [940] implies(C,C) <-> implies(ifeq(A,A,truth,B),truth big_V C)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 4
% 74.79/75.05 Current number of rules: 931
% 74.79/75.05 New rule produced :
% 74.79/75.05 [941] implies(truth,ifeq(A,A,truth,B) big_V C) <-> implies(C,C)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 3
% 74.79/75.05 Current number of rules: 932
% 74.79/75.05 New rule produced :
% 74.79/75.05 [942] implies(truth,ifeq(A,A,truth big_V B,C)) <-> implies(B,B)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 2
% 74.79/75.05 Current number of rules: 933
% 74.79/75.05 New rule produced :
% 74.79/75.05 [943] implies(ifeq(A,A,truth,B),truth big_V C) <-> implies(C,C)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 1
% 74.79/75.05 Current number of rules: 934
% 74.79/75.05 New rule produced :
% 74.79/75.05 [944] ifeq(A,A,implies(truth,truth big_V B),C) <-> implies(B,B)
% 74.79/75.05 Current number of equations to process: 3423
% 74.79/75.05 Current number of ordered equations: 0
% 74.79/75.05 Current number of rules: 935
% 74.79/75.05 New rule produced :
% 74.79/75.05 [945] implies(B,B) <-> implies(truth,ifeq2(A,A,truth big_V B,C))
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 7
% 74.79/75.05 Current number of rules: 936
% 74.79/75.05 New rule produced :
% 74.79/75.05 [946] implies(B,B) <-> ifeq2(A,A,implies(truth,truth big_V B),C)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 6
% 74.79/75.05 Current number of rules: 937
% 74.79/75.05 New rule produced :
% 74.79/75.05 [947] implies(C,C) <-> implies(truth,ifeq2(A,A,truth,B) big_V C)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 5
% 74.79/75.05 Current number of rules: 938
% 74.79/75.05 New rule produced :
% 74.79/75.05 [948] implies(C,C) <-> implies(ifeq2(A,A,truth,B),truth big_V C)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 4
% 74.79/75.05 Current number of rules: 939
% 74.79/75.05 New rule produced :
% 74.79/75.05 [949] implies(truth,ifeq2(A,A,truth,B) big_V C) <-> implies(C,C)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 3
% 74.79/75.05 Current number of rules: 940
% 74.79/75.05 New rule produced :
% 74.79/75.05 [950] implies(truth,ifeq2(A,A,truth big_V B,C)) <-> implies(B,B)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 2
% 74.79/75.05 Current number of rules: 941
% 74.79/75.05 New rule produced :
% 74.79/75.05 [951] implies(ifeq2(A,A,truth,B),truth big_V C) <-> implies(C,C)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 1
% 74.79/75.05 Current number of rules: 942
% 74.79/75.05 New rule produced :
% 74.79/75.05 [952] ifeq2(A,A,implies(truth,truth big_V B),C) <-> implies(B,B)
% 74.79/75.05 Current number of equations to process: 3419
% 74.79/75.05 Current number of ordered equations: 0
% 74.79/75.05 Current number of rules: 943
% 74.79/75.05 New rule produced :
% 74.79/75.05 [953]
% 74.79/75.05 implies(implies(A,A),truth big_V A) <->
% 74.79/75.05 implies(implies(truth big_V A,truth),truth)
% 74.79/75.05 Current number of equations to process: 3418
% 74.79/75.05 Current number of ordered equations: 1
% 74.79/75.05 Current number of rules: 944
% 74.79/75.05 New rule produced :
% 74.79/75.05 [954]
% 74.79/75.05 implies(implies(truth big_V A,truth),truth) <->
% 74.79/75.05 implies(implies(A,A),truth big_V A)
% 74.79/75.05 Current number of equations to process: 3418
% 74.79/75.05 Current number of ordered equations: 0
% 74.79/75.05 Current number of rules: 945
% 74.79/75.05 New rule produced :
% 74.79/75.05 [955]
% 74.79/75.05 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth big_V A)))
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 5
% 75.18/75.48 Current number of rules: 946
% 75.18/75.48 New rule produced :
% 75.18/75.48 [956]
% 75.18/75.48 implies(A,A) <-> implies(truth,implies(truth,implies(truth,truth)) big_V A)
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 4
% 75.18/75.48 Current number of rules: 947
% 75.18/75.48 New rule produced :
% 75.18/75.48 [957]
% 75.18/75.48 implies(A,A) <-> implies(implies(truth,implies(truth,truth)),truth big_V A)
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 3
% 75.18/75.48 Current number of rules: 948
% 75.18/75.48 New rule produced :
% 75.18/75.48 [958]
% 75.18/75.48 implies(truth,implies(truth,implies(truth,truth big_V A))) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 2
% 75.18/75.48 Current number of rules: 949
% 75.18/75.48 New rule produced :
% 75.18/75.48 [959]
% 75.18/75.48 implies(truth,implies(truth,implies(truth,truth)) big_V A) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 1
% 75.18/75.48 Current number of rules: 950
% 75.18/75.48 New rule produced :
% 75.18/75.48 [960]
% 75.18/75.48 implies(implies(truth,implies(truth,truth)),truth big_V A) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3415
% 75.18/75.48 Current number of ordered equations: 0
% 75.18/75.48 Current number of rules: 951
% 75.18/75.48 New rule produced :
% 75.18/75.48 [961]
% 75.18/75.48 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth big_V A))
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 7
% 75.18/75.48 Current number of rules: 952
% 75.18/75.48 New rule produced :
% 75.18/75.48 [962]
% 75.18/75.48 implies(A,A) <-> implies(truth,implies(implies(truth,truth),truth) big_V A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 6
% 75.18/75.48 Current number of rules: 953
% 75.18/75.48 New rule produced :
% 75.18/75.48 [963]
% 75.18/75.48 implies(A,A) <-> implies(implies(truth,truth),implies(truth,truth big_V A))
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 5
% 75.18/75.48 Current number of rules: 954
% 75.18/75.48 New rule produced :
% 75.18/75.48 [964]
% 75.18/75.48 implies(A,A) <-> implies(implies(implies(truth,truth),truth),truth big_V A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 4
% 75.18/75.48 Current number of rules: 955
% 75.18/75.48 New rule produced :
% 75.18/75.48 [965]
% 75.18/75.48 implies(truth,implies(implies(truth,truth),truth big_V A)) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 3
% 75.18/75.48 Current number of rules: 956
% 75.18/75.48 New rule produced :
% 75.18/75.48 [966]
% 75.18/75.48 implies(truth,implies(implies(truth,truth),truth) big_V A) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 2
% 75.18/75.48 Current number of rules: 957
% 75.18/75.48 New rule produced :
% 75.18/75.48 [967]
% 75.18/75.48 implies(implies(truth,truth),implies(truth,truth big_V A)) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 1
% 75.18/75.48 Current number of rules: 958
% 75.18/75.48 New rule produced :
% 75.18/75.48 [968]
% 75.18/75.48 implies(implies(implies(truth,truth),truth),truth big_V A) <-> implies(A,A)
% 75.18/75.48 Current number of equations to process: 3411
% 75.18/75.48 Current number of ordered equations: 0
% 75.18/75.48 Current number of rules: 959
% 75.18/75.48 New rule produced :
% 75.18/75.48 [969] truth big_V B <-> implies(truth,ifeq(A,A,implies(B,B),C))
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 5
% 75.18/75.48 Current number of rules: 960
% 75.18/75.48 New rule produced :
% 75.18/75.48 [970] truth big_V B <-> ifeq(A,A,implies(truth,implies(B,B)),C)
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 4
% 75.18/75.48 Current number of rules: 961
% 75.18/75.48 New rule produced :
% 75.18/75.48 [971] truth big_V C <-> implies(ifeq(A,A,truth,B),implies(C,C))
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 3
% 75.18/75.48 Current number of rules: 962
% 75.18/75.48 New rule produced :
% 75.18/75.48 [972] implies(truth,ifeq(A,A,implies(B,B),C)) <-> truth big_V B
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 2
% 75.18/75.48 Current number of rules: 963
% 75.18/75.48 New rule produced :
% 75.18/75.48 [973] implies(ifeq(A,A,truth,B),implies(C,C)) <-> truth big_V C
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 1
% 75.18/75.48 Current number of rules: 964
% 75.18/75.48 New rule produced :
% 75.18/75.48 [974] ifeq(A,A,implies(truth,implies(B,B)),C) <-> truth big_V B
% 75.18/75.48 Current number of equations to process: 3408
% 75.18/75.48 Current number of ordered equations: 0
% 75.18/75.48 Current number of rules: 965
% 75.60/75.89 New rule produced :
% 75.60/75.89 [975] truth big_V B <-> implies(truth,ifeq2(A,A,implies(B,B),C))
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 5
% 75.60/75.89 Current number of rules: 966
% 75.60/75.89 New rule produced :
% 75.60/75.89 [976] truth big_V B <-> ifeq2(A,A,implies(truth,implies(B,B)),C)
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 4
% 75.60/75.89 Current number of rules: 967
% 75.60/75.89 New rule produced :
% 75.60/75.89 [977] truth big_V C <-> implies(ifeq2(A,A,truth,B),implies(C,C))
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 3
% 75.60/75.89 Current number of rules: 968
% 75.60/75.89 New rule produced :
% 75.60/75.89 [978] implies(truth,ifeq2(A,A,implies(B,B),C)) <-> truth big_V B
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 2
% 75.60/75.89 Current number of rules: 969
% 75.60/75.89 New rule produced :
% 75.60/75.89 [979] implies(ifeq2(A,A,truth,B),implies(C,C)) <-> truth big_V C
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 1
% 75.60/75.89 Current number of rules: 970
% 75.60/75.89 New rule produced :
% 75.60/75.89 [980] ifeq2(A,A,implies(truth,implies(B,B)),C) <-> truth big_V B
% 75.60/75.89 Current number of equations to process: 3405
% 75.60/75.89 Current number of ordered equations: 0
% 75.60/75.89 Current number of rules: 971
% 75.60/75.89 New rule produced :
% 75.60/75.89 [981]
% 75.60/75.89 implies(truth big_V A,implies(A,A)) <->
% 75.60/75.89 implies(implies(implies(A,A),truth),truth)
% 75.60/75.89 Current number of equations to process: 3404
% 75.60/75.89 Current number of ordered equations: 1
% 75.60/75.89 Current number of rules: 972
% 75.60/75.89 New rule produced :
% 75.60/75.89 [982]
% 75.60/75.89 implies(implies(implies(A,A),truth),truth) <->
% 75.60/75.89 implies(truth big_V A,implies(A,A))
% 75.60/75.89 Current number of equations to process: 3404
% 75.60/75.89 Current number of ordered equations: 0
% 75.60/75.89 Current number of rules: 973
% 75.60/75.89 New rule produced :
% 75.60/75.89 [983]
% 75.60/75.89 truth big_V A <-> implies(truth,implies(truth,implies(truth,implies(A,A))))
% 75.60/75.89 Current number of equations to process: 3402
% 75.60/75.89 Current number of ordered equations: 3
% 75.60/75.89 Current number of rules: 974
% 75.60/75.89 New rule produced :
% 75.60/75.89 [984]
% 75.60/75.89 truth big_V A <-> implies(implies(truth,implies(truth,truth)),implies(A,A))
% 75.60/75.89 Current number of equations to process: 3402
% 75.60/75.89 Current number of ordered equations: 2
% 75.60/75.89 Current number of rules: 975
% 75.60/75.89 New rule produced :
% 75.60/75.89 [985]
% 75.60/75.89 implies(truth,implies(truth,implies(truth,implies(A,A)))) <-> truth big_V A
% 75.60/75.89 Current number of equations to process: 3402
% 75.60/75.89 Current number of ordered equations: 1
% 75.60/75.89 Current number of rules: 976
% 75.60/75.89 New rule produced :
% 75.60/75.89 [986]
% 75.60/75.89 implies(implies(truth,implies(truth,truth)),implies(A,A)) <-> truth big_V A
% 75.60/75.89 Current number of equations to process: 3402
% 75.60/75.89 Current number of ordered equations: 0
% 75.60/75.89 Current number of rules: 977
% 75.60/75.89 New rule produced :
% 75.60/75.89 [987]
% 75.60/75.89 truth big_V A <-> implies(truth,implies(implies(truth,truth),implies(A,A)))
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 5
% 75.60/75.89 Current number of rules: 978
% 75.60/75.89 New rule produced :
% 75.60/75.89 [988]
% 75.60/75.89 truth big_V A <-> implies(implies(truth,truth),implies(truth,implies(A,A)))
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 4
% 75.60/75.89 Current number of rules: 979
% 75.60/75.89 New rule produced :
% 75.60/75.89 [989]
% 75.60/75.89 truth big_V A <-> implies(implies(implies(truth,truth),truth),implies(A,A))
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 3
% 75.60/75.89 Current number of rules: 980
% 75.60/75.89 New rule produced :
% 75.60/75.89 [990]
% 75.60/75.89 implies(truth,implies(implies(truth,truth),implies(A,A))) <-> truth big_V A
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 2
% 75.60/75.89 Current number of rules: 981
% 75.60/75.89 New rule produced :
% 75.60/75.89 [991]
% 75.60/75.89 implies(implies(truth,truth),implies(truth,implies(A,A))) <-> truth big_V A
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 1
% 75.60/75.89 Current number of rules: 982
% 75.60/75.89 New rule produced :
% 75.60/75.89 [992]
% 75.60/75.89 implies(implies(implies(truth,truth),truth),implies(A,A)) <-> truth big_V A
% 75.60/75.89 Current number of equations to process: 3399
% 75.60/75.89 Current number of ordered equations: 0
% 75.60/75.89 Current number of rules: 983
% 75.60/75.89 New rule produced : [993] implies(truth,C) <-> ifeq(A,A,ifeq(B,B,C,X),Y)
% 75.60/75.89 Current number of equations to process: 3398
% 75.60/75.89 Current number of ordered equations: 1
% 75.60/75.89 Current number of rules: 984
% 75.60/75.89 New rule produced : [994] ifeq(A,A,ifeq(B,B,C,X),Y) <-> implies(truth,C)
% 75.60/75.89 Current number of equations to process: 3398
% 75.60/75.89 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 985
% 76.09/76.34 New rule produced : [995] implies(truth,C) <-> ifeq2(A,A,ifeq(B,B,C,X),Y)
% 76.09/76.34 Current number of equations to process: 3397
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 986
% 76.09/76.34 New rule produced : [996] ifeq2(A,A,ifeq(B,B,C,X),Y) <-> implies(truth,C)
% 76.09/76.34 Current number of equations to process: 3397
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 987
% 76.09/76.34 New rule produced :
% 76.09/76.34 [997] implies(truth,B) <-> implies(implies(truth,truth),ifeq(A,A,B,C))
% 76.09/76.34 Current number of equations to process: 3396
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 988
% 76.09/76.34 New rule produced :
% 76.09/76.34 [998] implies(implies(truth,truth),ifeq(A,A,B,C)) <-> implies(truth,B)
% 76.09/76.34 Current number of equations to process: 3396
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 989
% 76.09/76.34 New rule produced : [999] implies(truth,C) <-> ifeq(A,A,ifeq2(B,B,C,X),Y)
% 76.09/76.34 Current number of equations to process: 3395
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 990
% 76.09/76.34 New rule produced : [1000] ifeq(A,A,ifeq2(B,B,C,X),Y) <-> implies(truth,C)
% 76.09/76.34 Current number of equations to process: 3395
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 991
% 76.09/76.34 New rule produced : [1001] implies(truth,C) <-> ifeq2(A,A,ifeq2(B,B,C,X),Y)
% 76.09/76.34 Current number of equations to process: 3394
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 992
% 76.09/76.34 New rule produced : [1002] ifeq2(A,A,ifeq2(B,B,C,X),Y) <-> implies(truth,C)
% 76.09/76.34 Current number of equations to process: 3394
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 993
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1003] implies(truth,B) <-> implies(implies(truth,truth),ifeq2(A,A,B,C))
% 76.09/76.34 Current number of equations to process: 3393
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 994
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1004] implies(implies(truth,truth),ifeq2(A,A,B,C)) <-> implies(truth,B)
% 76.09/76.34 Current number of equations to process: 3393
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 995
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1005] truth <-> implies(implies(implies(not(A),truth),truth),implies(A,A))
% 76.09/76.34 Current number of equations to process: 3392
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 996
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1006] implies(implies(implies(not(A),truth),truth),implies(A,A)) <-> truth
% 76.09/76.34 Current number of equations to process: 3392
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 997
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1007] implies(B,B) <-> ifeq(A,A,implies(implies(B,truth),truth),C)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 7
% 76.09/76.34 Current number of rules: 998
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1008] implies(B,B) <-> implies(ifeq(A,A,implies(B,truth),C),truth)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 6
% 76.09/76.34 Current number of rules: 999
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1009] implies(A,A) <-> implies(implies(A,truth),ifeq(B,B,truth,C))
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 5
% 76.09/76.34 Current number of rules: 1000
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1010] implies(A,A) <-> implies(implies(A,ifeq(B,B,truth,C)),truth)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 4
% 76.09/76.34 Current number of rules: 1001
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1011] ifeq(A,A,implies(implies(B,truth),truth),C) <-> implies(B,B)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 3
% 76.09/76.34 Current number of rules: 1002
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1012] implies(implies(A,truth),ifeq(B,B,truth,C)) <-> implies(A,A)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 2
% 76.09/76.34 Current number of rules: 1003
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1013] implies(ifeq(A,A,implies(B,truth),C),truth) <-> implies(B,B)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 1
% 76.09/76.34 Current number of rules: 1004
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1014] implies(implies(A,ifeq(B,B,truth,C)),truth) <-> implies(A,A)
% 76.09/76.34 Current number of equations to process: 3388
% 76.09/76.34 Current number of ordered equations: 0
% 76.09/76.34 Current number of rules: 1005
% 76.09/76.34 New rule produced :
% 76.09/76.34 [1015] implies(B,B) <-> ifeq2(A,A,implies(implies(B,truth),truth),C)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 7
% 76.59/76.85 Current number of rules: 1006
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1016] implies(B,B) <-> implies(ifeq2(A,A,implies(B,truth),C),truth)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 6
% 76.59/76.85 Current number of rules: 1007
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1017] implies(A,A) <-> implies(implies(A,truth),ifeq2(B,B,truth,C))
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 5
% 76.59/76.85 Current number of rules: 1008
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1018] implies(A,A) <-> implies(implies(A,ifeq2(B,B,truth,C)),truth)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 4
% 76.59/76.85 Current number of rules: 1009
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1019] implies(implies(A,truth),ifeq2(B,B,truth,C)) <-> implies(A,A)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 3
% 76.59/76.85 Current number of rules: 1010
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1020] ifeq2(A,A,implies(implies(B,truth),truth),C) <-> implies(B,B)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 2
% 76.59/76.85 Current number of rules: 1011
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1021] implies(ifeq2(A,A,implies(B,truth),C),truth) <-> implies(B,B)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 1
% 76.59/76.85 Current number of rules: 1012
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1022] implies(implies(A,ifeq2(B,B,truth,C)),truth) <-> implies(A,A)
% 76.59/76.85 Current number of equations to process: 3384
% 76.59/76.85 Current number of ordered equations: 0
% 76.59/76.85 Current number of rules: 1013
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1023]
% 76.59/76.85 implies(implies(implies(truth,A),A),truth) <->
% 76.59/76.85 implies(implies(A,truth),implies(A,truth))
% 76.59/76.85 Current number of equations to process: 3383
% 76.59/76.85 Current number of ordered equations: 1
% 76.59/76.85 Current number of rules: 1014
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1024]
% 76.59/76.85 implies(implies(A,truth),implies(A,truth)) <->
% 76.59/76.85 implies(implies(implies(truth,A),A),truth)
% 76.59/76.85 Current number of equations to process: 3383
% 76.59/76.85 Current number of ordered equations: 0
% 76.59/76.85 Current number of rules: 1015
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1025]
% 76.59/76.85 implies(implies(A,implies(truth,implies(truth,truth))),truth) <->
% 76.59/76.85 implies(A,A)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 7
% 76.59/76.85 Current number of rules: 1016
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1026]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(implies(A,implies(truth,implies(truth,truth))),truth)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 6
% 76.59/76.85 Current number of rules: 1017
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1027]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(truth,implies(truth,implies(implies(A,truth),truth)))
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 5
% 76.59/76.85 Current number of rules: 1018
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1028]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(implies(A,truth),implies(truth,implies(truth,truth)))
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 4
% 76.59/76.85 Current number of rules: 1019
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1029]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(implies(truth,implies(truth,implies(A,truth))),truth)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 3
% 76.59/76.85 Current number of rules: 1020
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1030]
% 76.59/76.85 implies(truth,implies(truth,implies(implies(A,truth),truth))) <->
% 76.59/76.85 implies(A,A)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 2
% 76.59/76.85 Current number of rules: 1021
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1031]
% 76.59/76.85 implies(implies(A,truth),implies(truth,implies(truth,truth))) <->
% 76.59/76.85 implies(A,A)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 1
% 76.59/76.85 Current number of rules: 1022
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1032]
% 76.59/76.85 implies(implies(truth,implies(truth,implies(A,truth))),truth) <->
% 76.59/76.85 implies(A,A)
% 76.59/76.85 Current number of equations to process: 3379
% 76.59/76.85 Current number of ordered equations: 0
% 76.59/76.85 Current number of rules: 1023
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1033]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(implies(truth,truth),implies(implies(A,truth),truth))
% 76.59/76.85 Current number of equations to process: 3375
% 76.59/76.85 Current number of ordered equations: 7
% 76.59/76.85 Current number of rules: 1024
% 76.59/76.85 New rule produced :
% 76.59/76.85 [1034]
% 76.59/76.85 implies(A,A) <->
% 76.59/76.85 implies(implies(A,truth),implies(implies(truth,truth),truth))
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 6
% 77.11/77.36 Current number of rules: 1025
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1035]
% 77.11/77.36 implies(A,A) <->
% 77.11/77.36 implies(implies(A,implies(implies(truth,truth),truth)),truth)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 5
% 77.11/77.36 Current number of rules: 1026
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1036]
% 77.11/77.36 implies(A,A) <->
% 77.11/77.36 implies(implies(implies(truth,truth),implies(A,truth)),truth)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 4
% 77.11/77.36 Current number of rules: 1027
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1037]
% 77.11/77.36 implies(implies(truth,truth),implies(implies(A,truth),truth)) <->
% 77.11/77.36 implies(A,A)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 3
% 77.11/77.36 Current number of rules: 1028
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1038]
% 77.11/77.36 implies(implies(A,truth),implies(implies(truth,truth),truth)) <->
% 77.11/77.36 implies(A,A)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 2
% 77.11/77.36 Current number of rules: 1029
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1039]
% 77.11/77.36 implies(implies(A,implies(implies(truth,truth),truth)),truth) <->
% 77.11/77.36 implies(A,A)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 1
% 77.11/77.36 Current number of rules: 1030
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1040]
% 77.11/77.36 implies(implies(implies(truth,truth),implies(A,truth)),truth) <->
% 77.11/77.36 implies(A,A)
% 77.11/77.36 Current number of equations to process: 3375
% 77.11/77.36 Current number of ordered equations: 0
% 77.11/77.36 Current number of rules: 1031
% 77.11/77.36 New rule produced : [1041] B big_V B <-> ifeq(A,A,implies(truth big_V B,B),C)
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 5
% 77.11/77.36 Current number of rules: 1032
% 77.11/77.36 New rule produced : [1042] B big_V B <-> implies(ifeq(A,A,truth big_V B,C),B)
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 4
% 77.11/77.36 Current number of rules: 1033
% 77.11/77.36 New rule produced : [1043] C big_V C <-> implies(ifeq(A,A,truth,B) big_V C,C)
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 3
% 77.11/77.36 Current number of rules: 1034
% 77.11/77.36 New rule produced : [1044] implies(ifeq(A,A,truth,B) big_V C,C) <-> C big_V C
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 2
% 77.11/77.36 Current number of rules: 1035
% 77.11/77.36 New rule produced : [1045] ifeq(A,A,implies(truth big_V B,B),C) <-> B big_V B
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 1
% 77.11/77.36 Current number of rules: 1036
% 77.11/77.36 New rule produced : [1046] implies(ifeq(A,A,truth big_V B,C),B) <-> B big_V B
% 77.11/77.36 Current number of equations to process: 3372
% 77.11/77.36 Current number of ordered equations: 0
% 77.11/77.36 Current number of rules: 1037
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1047] B big_V B <-> ifeq2(A,A,implies(truth big_V B,B),C)
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 5
% 77.11/77.36 Current number of rules: 1038
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1048] B big_V B <-> implies(ifeq2(A,A,truth big_V B,C),B)
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 4
% 77.11/77.36 Current number of rules: 1039
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1049] C big_V C <-> implies(ifeq2(A,A,truth,B) big_V C,C)
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 3
% 77.11/77.36 Current number of rules: 1040
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1050] implies(ifeq2(A,A,truth,B) big_V C,C) <-> C big_V C
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 2
% 77.11/77.36 Current number of rules: 1041
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1051] ifeq2(A,A,implies(truth big_V B,B),C) <-> B big_V B
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 1
% 77.11/77.36 Current number of rules: 1042
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1052] implies(ifeq2(A,A,truth big_V B,C),B) <-> B big_V B
% 77.11/77.36 Current number of equations to process: 3369
% 77.11/77.36 Current number of ordered equations: 0
% 77.11/77.36 Current number of rules: 1043
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1053] A big_V A <-> implies(implies(truth,implies(truth,truth)) big_V A,A)
% 77.11/77.36 Current number of equations to process: 3366
% 77.11/77.36 Current number of ordered equations: 5
% 77.11/77.36 Current number of rules: 1044
% 77.11/77.36 New rule produced :
% 77.11/77.36 [1054] A big_V A <-> implies(truth,implies(truth,implies(truth big_V A,A)))
% 77.11/77.36 Current number of equations to process: 3366
% 77.59/77.85 Current number of ordered equations: 4
% 77.59/77.85 Current number of rules: 1045
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1055] A big_V A <-> implies(implies(truth,implies(truth,truth big_V A)),A)
% 77.59/77.85 Current number of equations to process: 3366
% 77.59/77.85 Current number of ordered equations: 3
% 77.59/77.85 Current number of rules: 1046
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1056] implies(implies(truth,implies(truth,truth)) big_V A,A) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3366
% 77.59/77.85 Current number of ordered equations: 2
% 77.59/77.85 Current number of rules: 1047
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1057] implies(truth,implies(truth,implies(truth big_V A,A))) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3366
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1048
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1058] implies(implies(truth,implies(truth,truth big_V A)),A) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3366
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1049
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1059] A big_V A <-> implies(implies(truth,truth),implies(truth big_V A,A))
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 5
% 77.59/77.85 Current number of rules: 1050
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1060] A big_V A <-> implies(implies(implies(truth,truth),truth) big_V A,A)
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 4
% 77.59/77.85 Current number of rules: 1051
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1061] A big_V A <-> implies(implies(implies(truth,truth),truth big_V A),A)
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 3
% 77.59/77.85 Current number of rules: 1052
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1062] implies(implies(truth,truth),implies(truth big_V A,A)) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 2
% 77.59/77.85 Current number of rules: 1053
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1063] implies(implies(implies(truth,truth),truth) big_V A,A) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1054
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1064] implies(implies(implies(truth,truth),truth big_V A),A) <-> A big_V A
% 77.59/77.85 Current number of equations to process: 3363
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1055
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1065] ifeq(A,A,implies(truth,B),C) <-> implies(ifeq(X,X,truth,Y),B)
% 77.59/77.85 Current number of equations to process: 3351
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1056
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1066] implies(ifeq(X,X,truth,Y),B) <-> ifeq(A,A,implies(truth,B),C)
% 77.59/77.85 Current number of equations to process: 3351
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1057
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1067] truth big_V ifeq(A,A,truth,B) <-> implies(truth,ifeq(A,A,truth,B))
% 77.59/77.85 Current number of equations to process: 3350
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1058
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1068] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V ifeq(A,A,truth,B)
% 77.59/77.85 Current number of equations to process: 3350
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1059
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1069] implies(ifeq(A,A,truth,B),C) <-> ifeq2(X,X,implies(truth,C),Y)
% 77.59/77.85 Current number of equations to process: 3346
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1060
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1070] ifeq2(X,X,implies(truth,C),Y) <-> implies(ifeq(A,A,truth,B),C)
% 77.59/77.85 Current number of equations to process: 3346
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1061
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1071] implies(ifeq2(X,X,truth,Y),B) <-> ifeq(A,A,implies(truth,B),C)
% 77.59/77.85 Current number of equations to process: 3342
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1062
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1072] ifeq(A,A,implies(truth,B),C) <-> implies(ifeq2(X,X,truth,Y),B)
% 77.59/77.85 Current number of equations to process: 3342
% 77.59/77.85 Current number of ordered equations: 0
% 77.59/77.85 Current number of rules: 1063
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1073] implies(ifeq2(X,X,truth,Y),B) <-> ifeq2(A,A,implies(truth,B),C)
% 77.59/77.85 Current number of equations to process: 3341
% 77.59/77.85 Current number of ordered equations: 1
% 77.59/77.85 Current number of rules: 1064
% 77.59/77.85 New rule produced :
% 77.59/77.85 [1074] ifeq2(A,A,implies(truth,B),C) <-> implies(ifeq2(X,X,truth,Y),B)
% 77.99/78.23 Current number of equations to process: 3341
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1065
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1075] truth big_V ifeq2(A,A,truth,B) <-> implies(truth,ifeq2(A,A,truth,B))
% 77.99/78.23 Current number of equations to process: 3340
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1066
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1076] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V ifeq2(A,A,truth,B)
% 77.99/78.23 Current number of equations to process: 3340
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1067
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1077] implies(truth,ifeq(X,X,B,Y)) <-> ifeq(A,A,implies(truth,B),C)
% 77.99/78.23 Current number of equations to process: 3336
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1068
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1078] ifeq(A,A,implies(truth,B),C) <-> implies(truth,ifeq(X,X,B,Y))
% 77.99/78.23 Current number of equations to process: 3336
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1069
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1079] implies(truth,ifeq(X,X,C,Y)) <-> implies(ifeq(A,A,truth,B),C)
% 77.99/78.23 Current number of equations to process: 3335
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1070
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1080] implies(ifeq(A,A,truth,B),C) <-> implies(truth,ifeq(X,X,C,Y))
% 77.99/78.23 Current number of equations to process: 3335
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1071
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1081] implies(truth,ifeq(X,X,B,Y)) <-> ifeq2(A,A,implies(truth,B),C)
% 77.99/78.23 Current number of equations to process: 3334
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1072
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1082] ifeq2(A,A,implies(truth,B),C) <-> implies(truth,ifeq(X,X,B,Y))
% 77.99/78.23 Current number of equations to process: 3334
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1073
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1083] implies(truth,ifeq(X,X,C,Y)) <-> implies(ifeq2(A,A,truth,B),C)
% 77.99/78.23 Current number of equations to process: 3333
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1074
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1084] implies(ifeq2(A,A,truth,B),C) <-> implies(truth,ifeq(X,X,C,Y))
% 77.99/78.23 Current number of equations to process: 3333
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1075
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1085] truth big_V ifeq(B,B,A,C) <-> implies(A,ifeq(B,B,A,C))
% 77.99/78.23 Rule
% 77.99/78.23 [1067] truth big_V ifeq(A,A,truth,B) <-> implies(truth,ifeq(A,A,truth,B))
% 77.99/78.23 collapsed.
% 77.99/78.23 Current number of equations to process: 3332
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1075
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1086] implies(A,ifeq(B,B,A,C)) <-> truth big_V ifeq(B,B,A,C)
% 77.99/78.23 Rule
% 77.99/78.23 [1068] implies(truth,ifeq(A,A,truth,B)) <-> truth big_V ifeq(A,A,truth,B)
% 77.99/78.23 collapsed.
% 77.99/78.23 Current number of equations to process: 3332
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1075
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1087] implies(truth,ifeq2(X,X,B,Y)) <-> ifeq(A,A,implies(truth,B),C)
% 77.99/78.23 Current number of equations to process: 3328
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1076
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1088] ifeq(A,A,implies(truth,B),C) <-> implies(truth,ifeq2(X,X,B,Y))
% 77.99/78.23 Current number of equations to process: 3328
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1077
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1089] implies(truth,ifeq2(X,X,C,Y)) <-> implies(ifeq(A,A,truth,B),C)
% 77.99/78.23 Current number of equations to process: 3327
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1078
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1090] implies(ifeq(A,A,truth,B),C) <-> implies(truth,ifeq2(X,X,C,Y))
% 77.99/78.23 Current number of equations to process: 3327
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1079
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1091] implies(truth,ifeq2(X,X,B,Y)) <-> ifeq2(A,A,implies(truth,B),C)
% 77.99/78.23 Current number of equations to process: 3326
% 77.99/78.23 Current number of ordered equations: 1
% 77.99/78.23 Current number of rules: 1080
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1092] ifeq2(A,A,implies(truth,B),C) <-> implies(truth,ifeq2(X,X,B,Y))
% 77.99/78.23 Current number of equations to process: 3326
% 77.99/78.23 Current number of ordered equations: 0
% 77.99/78.23 Current number of rules: 1081
% 77.99/78.23 New rule produced :
% 77.99/78.23 [1093] implies(truth,ifeq2(X,X,C,Y)) <-> implies(ifeq2(A,A,truth,B),C)
% 77.99/78.23 Current number of equations to process: 3325
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1082
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1094] implies(ifeq2(A,A,truth,B),C) <-> implies(truth,ifeq2(X,X,C,Y))
% 78.38/78.62 Current number of equations to process: 3325
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1083
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1095] truth big_V ifeq2(B,B,A,C) <-> implies(A,ifeq2(B,B,A,C))
% 78.38/78.62 Rule
% 78.38/78.62 [1075] truth big_V ifeq2(A,A,truth,B) <-> implies(truth,ifeq2(A,A,truth,B))
% 78.38/78.62 collapsed.
% 78.38/78.62 Current number of equations to process: 3324
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1083
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1096] implies(A,ifeq2(B,B,A,C)) <-> truth big_V ifeq2(B,B,A,C)
% 78.38/78.62 Rule
% 78.38/78.62 [1076] implies(truth,ifeq2(A,A,truth,B)) <-> truth big_V ifeq2(A,A,truth,B)
% 78.38/78.62 collapsed.
% 78.38/78.62 Current number of equations to process: 3324
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1083
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1097]
% 78.38/78.62 implies(truth,implies(A,B) big_V B) <-> implies(implies(truth,A big_V B),B)
% 78.38/78.62 Current number of equations to process: 3323
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1084
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1098]
% 78.38/78.62 implies(implies(truth,A big_V B),B) <-> implies(truth,implies(A,B) big_V B)
% 78.38/78.62 Current number of equations to process: 3323
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1085
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1099]
% 78.38/78.62 implies(truth,implies(B,A) big_V A) <-> implies(implies(implies(A,B),B),A)
% 78.38/78.62 Current number of equations to process: 3322
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1086
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1100]
% 78.38/78.62 implies(implies(implies(A,B),B),A) <-> implies(truth,implies(B,A) big_V A)
% 78.38/78.62 Current number of equations to process: 3322
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1087
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1101]
% 78.38/78.62 implies(truth,truth big_V (truth big_V A)) <->
% 78.38/78.62 implies(implies(A,A),truth big_V A)
% 78.38/78.62 Current number of equations to process: 3321
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1088
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1102]
% 78.38/78.62 implies(implies(A,A),truth big_V A) <->
% 78.38/78.62 implies(truth,truth big_V (truth big_V A))
% 78.38/78.62 Current number of equations to process: 3321
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1089
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1103]
% 78.38/78.62 implies(truth,truth big_V implies(A,A)) <->
% 78.38/78.62 implies(truth big_V A,implies(A,A))
% 78.38/78.62 Current number of equations to process: 3320
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1090
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1104]
% 78.38/78.62 implies(truth big_V A,implies(A,A)) <->
% 78.38/78.62 implies(truth,truth big_V implies(A,A))
% 78.38/78.62 Current number of equations to process: 3320
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1091
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1105]
% 78.38/78.62 implies(implies(truth,truth big_V A),truth) <->
% 78.38/78.62 implies(implies(A,truth),implies(A,truth))
% 78.38/78.62 Current number of equations to process: 3319
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1092
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1106]
% 78.38/78.62 implies(implies(A,truth),implies(A,truth)) <->
% 78.38/78.62 implies(implies(truth,truth big_V A),truth)
% 78.38/78.62 Current number of equations to process: 3319
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1093
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1107] implies(implies(A,B),B) big_V A <-> implies(implies(B,A) big_V A,A)
% 78.38/78.62 Current number of equations to process: 3316
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1094
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1108] implies(implies(B,A) big_V A,A) <-> implies(implies(A,B),B) big_V A
% 78.38/78.62 Current number of equations to process: 3316
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1095
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1109]
% 78.38/78.62 implies(truth,implies(truth big_V A,truth)) <->
% 78.38/78.62 implies(implies(A,truth),implies(A,truth))
% 78.38/78.62 Current number of equations to process: 3315
% 78.38/78.62 Current number of ordered equations: 1
% 78.38/78.62 Current number of rules: 1096
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1110]
% 78.38/78.62 implies(implies(A,truth),implies(A,truth)) <->
% 78.38/78.62 implies(truth,implies(truth big_V A,truth))
% 78.38/78.62 Current number of equations to process: 3315
% 78.38/78.62 Current number of ordered equations: 0
% 78.38/78.62 Current number of rules: 1097
% 78.38/78.62 New rule produced :
% 78.38/78.62 [1111]
% 78.38/78.62 implies(truth,implies(A big_V B,B)) <-> implies(implies(implies(A,B),B),B)
% 78.38/78.62 Current number of equations to process: 3312
% 78.81/79.03 Current number of ordered equations: 1
% 78.81/79.03 Current number of rules: 1098
% 78.81/79.03 New rule produced :
% 78.81/79.03 [1112]
% 78.81/79.03 implies(implies(implies(A,B),B),B) <-> implies(truth,implies(A big_V B,B))
% 78.81/79.03 Current number of equations to process: 3312
% 78.81/79.03 Current number of ordered equations: 0
% 78.81/79.03 Current number of rules: 1099
% 78.81/79.03 New rule produced :
% 78.81/79.03 [1113] implies(implies(A,B) big_V B,B) <-> implies(truth,A big_V B) big_V B
% 78.81/79.03 Current number of equations to process: 3311
% 78.81/79.03 Current number of ordered equations: 1
% 78.81/79.03 Current number of rules: 1100
% 78.81/79.03 New rule produced :
% 78.81/79.03 [1114] implies(truth,A big_V B) big_V B <-> implies(implies(A,B) big_V B,B)
% 78.81/79.03 Current number of equations to process: 3311
% 78.81/79.03 Current number of ordered equations: 0
% 78.81/79.03 Current number of rules: 1101
% 78.81/79.03 New rule produced :
% 78.81/79.03 [1115]
% 78.81/79.03 implies(truth big_V A,truth big_V A) <->
% 78.81/79.03 implies(truth big_V implies(A,truth),truth)
% 78.81/79.03 Current number of equations to process: 3310
% 78.81/79.03 Current number of ordered equations: 1
% 78.81/79.03 Current number of rules: 1102
% 78.81/79.03 New rule produced :
% 78.81/79.03 [1116]
% 78.81/79.03 implies(truth big_V implies(A,truth),truth) <->
% 78.81/79.04 implies(truth big_V A,truth big_V A)
% 78.81/79.04 Current number of equations to process: 3310
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1103
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1117] implies(truth,(A big_V B) big_V B) <-> implies(implies(A,B) big_V B,B)
% 78.81/79.04 Current number of equations to process: 3309
% 78.81/79.04 Current number of ordered equations: 1
% 78.81/79.04 Current number of rules: 1104
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1118] implies(implies(A,B) big_V B,B) <-> implies(truth,(A big_V B) big_V B)
% 78.81/79.04 Current number of equations to process: 3309
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1105
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1119] (implies(A,B) big_V B) big_V B <-> implies((A big_V B) big_V B,B)
% 78.81/79.04 Current number of equations to process: 3307
% 78.81/79.04 Current number of ordered equations: 3
% 78.81/79.04 Current number of rules: 1106
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1120] implies(implies(A big_V B,B),B) <-> implies(implies(A,B),B) big_V B
% 78.81/79.04 Current number of equations to process: 3307
% 78.81/79.04 Current number of ordered equations: 2
% 78.81/79.04 Current number of rules: 1107
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1121] implies(implies(A,B),B) big_V B <-> implies(implies(A big_V B,B),B)
% 78.81/79.04 Current number of equations to process: 3307
% 78.81/79.04 Current number of ordered equations: 1
% 78.81/79.04 Current number of rules: 1108
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1122] implies((A big_V B) big_V B,B) <-> (implies(A,B) big_V B) big_V B
% 78.81/79.04 Current number of equations to process: 3307
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1109
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1123]
% 78.81/79.04 ifeq(ordered(truth,B),true,B,truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 78.81/79.04 Current number of equations to process: 3306
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1110
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1124] implies(B,B) <-> ifeq(ordered(truth,A),true,A,truth) big_V B
% 78.81/79.04 Current number of equations to process: 3305
% 78.81/79.04 Current number of ordered equations: 1
% 78.81/79.04 Current number of rules: 1111
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1125] ifeq(ordered(truth,A),true,A,truth) big_V B <-> implies(B,B)
% 78.81/79.04 Current number of equations to process: 3305
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1112
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1126]
% 78.81/79.04 ifeq(ordered(truth,C),true,C,truth) <-> ifeq(A,A,implies(truth,truth),B)
% 78.81/79.04 Current number of equations to process: 3304
% 78.81/79.04 Current number of ordered equations: 1
% 78.81/79.04 Current number of rules: 1113
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1127]
% 78.81/79.04 ifeq(A,A,implies(truth,truth),B) <-> ifeq(ordered(truth,C),true,C,truth)
% 78.81/79.04 Current number of equations to process: 3304
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1114
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1128]
% 78.81/79.04 implies(ifeq(A,A,truth,B),truth) <-> ifeq(ordered(truth,C),true,C,truth)
% 78.81/79.04 Current number of equations to process: 3303
% 78.81/79.04 Current number of ordered equations: 1
% 78.81/79.04 Current number of rules: 1115
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1129]
% 78.81/79.04 ifeq(ordered(truth,C),true,C,truth) <-> implies(ifeq(A,A,truth,B),truth)
% 78.81/79.04 Current number of equations to process: 3303
% 78.81/79.04 Current number of ordered equations: 0
% 78.81/79.04 Current number of rules: 1116
% 78.81/79.04 New rule produced :
% 78.81/79.04 [1130]
% 78.81/79.04 ifeq(ordered(truth,C),true,C,truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 78.81/79.04 Current number of equations to process: 3302
% 78.81/79.04 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1117
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1131]
% 79.20/79.40 ifeq2(A,A,implies(truth,truth),B) <-> ifeq(ordered(truth,C),true,C,truth)
% 79.20/79.40 Current number of equations to process: 3302
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1118
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1132]
% 79.20/79.40 implies(ifeq2(A,A,truth,B),truth) <-> ifeq(ordered(truth,C),true,C,truth)
% 79.20/79.40 Current number of equations to process: 3301
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1119
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1133]
% 79.20/79.40 ifeq(ordered(truth,C),true,C,truth) <-> implies(ifeq2(A,A,truth,B),truth)
% 79.20/79.40 Current number of equations to process: 3301
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1120
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1134]
% 79.20/79.40 implies(truth,ifeq(A,A,truth,B)) <-> ifeq(ordered(truth,C),true,C,truth)
% 79.20/79.40 Current number of equations to process: 3300
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1121
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1135]
% 79.20/79.40 ifeq(ordered(truth,C),true,C,truth) <-> implies(truth,ifeq(A,A,truth,B))
% 79.20/79.40 Current number of equations to process: 3300
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1122
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1136]
% 79.20/79.40 implies(truth,ifeq2(A,A,truth,B)) <-> ifeq(ordered(truth,C),true,C,truth)
% 79.20/79.40 Current number of equations to process: 3299
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1123
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1137]
% 79.20/79.40 ifeq(ordered(truth,C),true,C,truth) <-> implies(truth,ifeq2(A,A,truth,B))
% 79.20/79.40 Current number of equations to process: 3299
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1124
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1138]
% 79.20/79.40 implies(implies(not(A),not(truth)),A) <->
% 79.20/79.40 implies(implies(not(B),not(truth)),B)
% 79.20/79.40 Current number of equations to process: 3298
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1125
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1139] implies(B,B) <-> implies(implies(not(A),not(truth)),A) big_V B
% 79.20/79.40 Current number of equations to process: 3297
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1126
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1140] implies(implies(not(A),not(truth)),A) big_V B <-> implies(B,B)
% 79.20/79.40 Current number of equations to process: 3297
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1127
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1141]
% 79.20/79.40 ifeq(A,A,implies(truth,truth),B) <-> implies(implies(not(C),not(truth)),C)
% 79.20/79.40 Current number of equations to process: 3296
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1128
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1142]
% 79.20/79.40 implies(implies(not(C),not(truth)),C) <-> ifeq(A,A,implies(truth,truth),B)
% 79.20/79.40 Current number of equations to process: 3296
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1129
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1143]
% 79.20/79.40 implies(ifeq(A,A,truth,B),truth) <-> implies(implies(not(C),not(truth)),C)
% 79.20/79.40 Current number of equations to process: 3295
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1130
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1144]
% 79.20/79.40 implies(implies(not(C),not(truth)),C) <-> implies(ifeq(A,A,truth,B),truth)
% 79.20/79.40 Current number of equations to process: 3295
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1131
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1145]
% 79.20/79.40 ifeq2(A,A,implies(truth,truth),B) <-> implies(implies(not(C),not(truth)),C)
% 79.20/79.40 Current number of equations to process: 3294
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1132
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1146]
% 79.20/79.40 implies(implies(not(C),not(truth)),C) <-> ifeq2(A,A,implies(truth,truth),B)
% 79.20/79.40 Current number of equations to process: 3294
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1133
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1147]
% 79.20/79.40 implies(ifeq2(A,A,truth,B),truth) <-> implies(implies(not(C),not(truth)),C)
% 79.20/79.40 Current number of equations to process: 3293
% 79.20/79.40 Current number of ordered equations: 1
% 79.20/79.40 Current number of rules: 1134
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1148]
% 79.20/79.40 implies(implies(not(C),not(truth)),C) <-> implies(ifeq2(A,A,truth,B),truth)
% 79.20/79.40 Current number of equations to process: 3293
% 79.20/79.40 Current number of ordered equations: 0
% 79.20/79.40 Current number of rules: 1135
% 79.20/79.40 New rule produced :
% 79.20/79.40 [1149]
% 79.20/79.40 implies(truth,ifeq(A,A,truth,B)) <-> implies(implies(not(C),not(truth)),C)
% 79.20/79.40 Current number of equations to process: 3292
% 79.20/79.40 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1136
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1150]
% 79.52/79.78 implies(implies(not(C),not(truth)),C) <-> implies(truth,ifeq(A,A,truth,B))
% 79.52/79.78 Current number of equations to process: 3292
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1137
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1151]
% 79.52/79.78 implies(truth,ifeq2(A,A,truth,B)) <-> implies(implies(not(C),not(truth)),C)
% 79.52/79.78 Current number of equations to process: 3291
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1138
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1152]
% 79.52/79.78 implies(implies(not(C),not(truth)),C) <-> implies(truth,ifeq2(A,A,truth,B))
% 79.52/79.78 Current number of equations to process: 3291
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1139
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1153]
% 79.52/79.78 ifeq(ordered(truth,A),true,A,truth) <-> implies(implies(not(B),not(truth)),B)
% 79.52/79.78 Current number of equations to process: 3290
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1140
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1154]
% 79.52/79.78 implies(implies(not(B),not(truth)),B) <-> ifeq(ordered(truth,A),true,A,truth)
% 79.52/79.78 Current number of equations to process: 3290
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1141
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1155] truth <-> implies(implies(not(truth),not(not(truth))),not(not(truth)))
% 79.52/79.78 Current number of equations to process: 3289
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1142
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1156] implies(implies(not(truth),not(not(truth))),not(not(truth))) <-> truth
% 79.52/79.78 Current number of equations to process: 3289
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1143
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1157] implies(truth,A) <-> implies(truth,implies(not(A),not(truth)) big_V A)
% 79.52/79.78 Current number of equations to process: 3288
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1144
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1158] implies(truth,implies(not(A),not(truth)) big_V A) <-> implies(truth,A)
% 79.52/79.78 Current number of equations to process: 3288
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1145
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1159] implies(implies(not(A),not(truth)) big_V A,A) <-> truth big_V A
% 79.52/79.78 Current number of equations to process: 3287
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1146
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1160] truth big_V A <-> implies(implies(not(A),not(truth)) big_V A,A)
% 79.52/79.78 Current number of equations to process: 3287
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1147
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1161]
% 79.52/79.78 ifeq2(B,truth,ordered(truth,B),true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 79.52/79.78 Current number of equations to process: 3286
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1148
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1162]
% 79.52/79.78 ifeq(A,A,implies(truth,true),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.52/79.78 Current number of equations to process: 3285
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1149
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1163]
% 79.52/79.78 ifeq2(C,truth,ordered(truth,C),true) <-> ifeq(A,A,implies(truth,true),B)
% 79.52/79.78 Current number of equations to process: 3285
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1150
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1164]
% 79.52/79.78 implies(ifeq(A,A,truth,B),true) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.52/79.78 Current number of equations to process: 3284
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1151
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1165]
% 79.52/79.78 ifeq2(C,truth,ordered(truth,C),true) <-> implies(ifeq(A,A,truth,B),true)
% 79.52/79.78 Current number of equations to process: 3284
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1152
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1166]
% 79.52/79.78 ifeq2(C,truth,ordered(truth,C),true) <-> ifeq2(A,A,implies(truth,true),B)
% 79.52/79.78 Current number of equations to process: 3283
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1153
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1167]
% 79.52/79.78 ifeq2(A,A,implies(truth,true),B) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.52/79.78 Current number of equations to process: 3283
% 79.52/79.78 Current number of ordered equations: 0
% 79.52/79.78 Current number of rules: 1154
% 79.52/79.78 New rule produced :
% 79.52/79.78 [1168]
% 79.52/79.78 implies(ifeq2(A,A,truth,B),true) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.52/79.78 Current number of equations to process: 3282
% 79.52/79.78 Current number of ordered equations: 1
% 79.52/79.78 Current number of rules: 1155
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1169]
% 79.92/80.18 ifeq2(C,truth,ordered(truth,C),true) <-> implies(ifeq2(A,A,truth,B),true)
% 79.92/80.18 Current number of equations to process: 3282
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1156
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1170]
% 79.92/80.18 implies(truth,ifeq(A,A,true,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.92/80.18 Current number of equations to process: 3281
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1157
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1171]
% 79.92/80.18 ifeq2(C,truth,ordered(truth,C),true) <-> implies(truth,ifeq(A,A,true,B))
% 79.92/80.18 Current number of equations to process: 3281
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1158
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1172]
% 79.92/80.18 implies(truth,ifeq2(A,A,true,B)) <-> ifeq2(C,truth,ordered(truth,C),true)
% 79.92/80.18 Current number of equations to process: 3280
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1159
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1173]
% 79.92/80.18 ifeq2(C,truth,ordered(truth,C),true) <-> implies(truth,ifeq2(A,A,true,B))
% 79.92/80.18 Current number of equations to process: 3280
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1160
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1174] ifeq(X,X,truth big_V B,Y) <-> ifeq(A,A,implies(B,B),C)
% 79.92/80.18 Current number of equations to process: 3279
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1161
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1175] ifeq(A,A,implies(B,B),C) <-> ifeq(X,X,truth big_V B,Y)
% 79.92/80.18 Current number of equations to process: 3279
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1162
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1176] ifeq(X,X,truth big_V B,Y) <-> ifeq2(A,A,implies(B,B),C)
% 79.92/80.18 Current number of equations to process: 3278
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1163
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1177] ifeq2(A,A,implies(B,B),C) <-> ifeq(X,X,truth big_V B,Y)
% 79.92/80.18 Current number of equations to process: 3278
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1164
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1178]
% 79.92/80.18 implies(truth,implies(truth,implies(A,A))) <-> ifeq(B,B,truth big_V A,C)
% 79.92/80.18 Current number of equations to process: 3276
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1165
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1179]
% 79.92/80.18 ifeq(B,B,truth big_V A,C) <-> implies(truth,implies(truth,implies(A,A)))
% 79.92/80.18 Current number of equations to process: 3276
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1166
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1180]
% 79.92/80.18 implies(implies(truth,truth),implies(A,A)) <-> ifeq(B,B,truth big_V A,C)
% 79.92/80.18 Current number of equations to process: 3275
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1167
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1181]
% 79.92/80.18 ifeq(B,B,truth big_V A,C) <-> implies(implies(truth,truth),implies(A,A))
% 79.92/80.18 Current number of equations to process: 3275
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1168
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1182] ifeq(A,A,truth big_V truth,B) big_V C <-> implies(C,C)
% 79.92/80.18 Current number of equations to process: 3273
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1169
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1183] implies(C,C) <-> ifeq(A,A,truth big_V truth,B) big_V C
% 79.92/80.18 Current number of equations to process: 3273
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1170
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1184] truth <-> implies(ifeq(A,A,truth big_V not(truth),B),truth)
% 79.92/80.18 Current number of equations to process: 3271
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1171
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1185] implies(ifeq(A,A,truth big_V not(truth),B),truth) <-> truth
% 79.92/80.18 Current number of equations to process: 3271
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1172
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1186] ifeq(X,X,truth,Y) big_V B <-> ifeq(A,A,implies(B,B),C)
% 79.92/80.18 Current number of equations to process: 3270
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1173
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1187] ifeq(A,A,implies(B,B),C) <-> ifeq(X,X,truth,Y) big_V B
% 79.92/80.18 Current number of equations to process: 3270
% 79.92/80.18 Current number of ordered equations: 0
% 79.92/80.18 Current number of rules: 1174
% 79.92/80.18 New rule produced :
% 79.92/80.18 [1188] ifeq(X,X,truth,Y) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 79.92/80.18 Current number of equations to process: 3269
% 79.92/80.18 Current number of ordered equations: 1
% 79.92/80.18 Current number of rules: 1175
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1189] ifeq2(A,A,implies(B,B),C) <-> ifeq(X,X,truth,Y) big_V B
% 80.41/80.66 Current number of equations to process: 3269
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1176
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1190]
% 80.41/80.66 implies(truth,implies(truth,implies(A,A))) <-> ifeq(B,B,truth,C) big_V A
% 80.41/80.66 Current number of equations to process: 3267
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1177
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1191]
% 80.41/80.66 ifeq(B,B,truth,C) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 80.41/80.66 Current number of equations to process: 3267
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1178
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1192]
% 80.41/80.66 implies(implies(truth,truth),implies(A,A)) <-> ifeq(B,B,truth,C) big_V A
% 80.41/80.66 Current number of equations to process: 3266
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1179
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1193]
% 80.41/80.66 ifeq(B,B,truth,C) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 80.41/80.66 Current number of equations to process: 3266
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1180
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1194] implies(truth,truth) big_V ifeq(A,A,truth,B) <-> implies(truth,truth)
% 80.41/80.66 Current number of equations to process: 3265
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1181
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1195] implies(truth,truth) <-> implies(truth,truth) big_V ifeq(A,A,truth,B)
% 80.41/80.66 Current number of equations to process: 3265
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1182
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1196] implies(C,C) <-> (truth big_V ifeq(A,A,truth,B)) big_V C
% 80.41/80.66 Current number of equations to process: 3264
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1183
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1197] (truth big_V ifeq(A,A,truth,B)) big_V C <-> implies(C,C)
% 80.41/80.66 Current number of equations to process: 3264
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1184
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1198] truth big_V C <-> implies(truth,ifeq(A,A,truth,B) big_V C)
% 80.41/80.66 Current number of equations to process: 3263
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1185
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1199] implies(truth,ifeq(A,A,truth,B) big_V C) <-> truth big_V C
% 80.41/80.66 Current number of equations to process: 3263
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1186
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1200] truth <-> implies(not(truth) big_V ifeq(A,A,truth,B),truth)
% 80.41/80.66 Current number of equations to process: 3261
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1187
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1201] implies(not(truth) big_V ifeq(A,A,truth,B),truth) <-> truth
% 80.41/80.66 Current number of equations to process: 3261
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1188
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1202] ifeq(X,X,truth,Y) big_V B <-> ifeq(A,A,truth big_V B,C)
% 80.41/80.66 Current number of equations to process: 3260
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1189
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1203] ifeq(A,A,truth big_V B,C) <-> ifeq(X,X,truth,Y) big_V B
% 80.41/80.66 Current number of equations to process: 3260
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1190
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1204] implies(B,B) <-> ifeq(A,A,implies(implies(truth,B),B),C)
% 80.41/80.66 Current number of equations to process: 3251
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1191
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1205] ifeq(A,A,implies(implies(truth,B),B),C) <-> implies(B,B)
% 80.41/80.66 Current number of equations to process: 3251
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1192
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1206] implies(B,B) <-> ifeq(A,A,(truth big_V truth) big_V B,C)
% 80.41/80.66 Current number of equations to process: 3250
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1193
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1207] ifeq(A,A,(truth big_V truth) big_V B,C) <-> implies(B,B)
% 80.41/80.66 Current number of equations to process: 3250
% 80.41/80.66 Current number of ordered equations: 0
% 80.41/80.66 Current number of rules: 1194
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1208] implies(truth,truth) <-> ifeq(A,A,implies(truth big_V truth,truth),B)
% 80.41/80.66 Current number of equations to process: 3249
% 80.41/80.66 Current number of ordered equations: 1
% 80.41/80.66 Current number of rules: 1195
% 80.41/80.66 New rule produced :
% 80.41/80.66 [1209] ifeq(A,A,implies(truth big_V truth,truth),B) <-> implies(truth,truth)
% 80.91/81.13 Current number of equations to process: 3249
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1196
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1210] ifeq2(A,A,truth,B) big_V C <-> ifeq(X,X,implies(C,C),Y)
% 80.91/81.13 Current number of equations to process: 3243
% 80.91/81.13 Current number of ordered equations: 3
% 80.91/81.13 Current number of rules: 1197
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1211] ifeq(X,X,implies(B,B),Y) <-> ifeq2(A,A,truth big_V B,C)
% 80.91/81.13 Current number of equations to process: 3243
% 80.91/81.13 Current number of ordered equations: 2
% 80.91/81.13 Current number of rules: 1198
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1212] ifeq(X,X,implies(C,C),Y) <-> ifeq2(A,A,truth,B) big_V C
% 80.91/81.13 Current number of equations to process: 3243
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1199
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1213] ifeq2(A,A,truth big_V B,C) <-> ifeq(X,X,implies(B,B),Y)
% 80.91/81.13 Current number of equations to process: 3243
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1200
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1214]
% 80.91/81.13 implies(truth,implies(truth,truth)) big_V A <-> ifeq(B,B,implies(A,A),C)
% 80.91/81.13 Current number of equations to process: 3241
% 80.91/81.13 Current number of ordered equations: 3
% 80.91/81.13 Current number of rules: 1201
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1215]
% 80.91/81.13 implies(truth,implies(truth,truth big_V A)) <-> ifeq(B,B,implies(A,A),C)
% 80.91/81.13 Current number of equations to process: 3241
% 80.91/81.13 Current number of ordered equations: 2
% 80.91/81.13 Current number of rules: 1202
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1216]
% 80.91/81.13 ifeq(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth)) big_V A
% 80.91/81.13 Current number of equations to process: 3241
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1203
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1217]
% 80.91/81.13 ifeq(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth big_V A))
% 80.91/81.13 Current number of equations to process: 3241
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1204
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1218]
% 80.91/81.13 implies(implies(truth,truth),truth big_V A) <-> ifeq(B,B,implies(A,A),C)
% 80.91/81.13 Current number of equations to process: 3239
% 80.91/81.13 Current number of ordered equations: 3
% 80.91/81.13 Current number of rules: 1205
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1219]
% 80.91/81.13 implies(implies(truth,truth),truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 80.91/81.13 Current number of equations to process: 3239
% 80.91/81.13 Current number of ordered equations: 2
% 80.91/81.13 Current number of rules: 1206
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1220]
% 80.91/81.13 ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth big_V A)
% 80.91/81.13 Current number of equations to process: 3239
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1207
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1221]
% 80.91/81.13 ifeq(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth) big_V A
% 80.91/81.13 Current number of equations to process: 3239
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1208
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1222] truth big_V B <-> ifeq(A,A,implies(truth,truth) big_V B,C)
% 80.91/81.13 Current number of equations to process: 3236
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1209
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1223] ifeq(A,A,implies(truth,truth) big_V B,C) <-> truth big_V B
% 80.91/81.13 Current number of equations to process: 3236
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1210
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1224] truth big_V truth <-> ifeq(A,A,ifeq(B,B,truth,C),X)
% 80.91/81.13 Current number of equations to process: 3235
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1211
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1225] ifeq(A,A,ifeq(B,B,truth,C),X) <-> truth big_V truth
% 80.91/81.13 Current number of equations to process: 3235
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1212
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1226] truth big_V truth <-> ifeq(A,A,ifeq2(B,B,truth,C),X)
% 80.91/81.13 Current number of equations to process: 3234
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1213
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1227] ifeq(A,A,ifeq2(B,B,truth,C),X) <-> truth big_V truth
% 80.91/81.13 Current number of equations to process: 3234
% 80.91/81.13 Current number of ordered equations: 0
% 80.91/81.13 Current number of rules: 1214
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1228] truth big_V B <-> ifeq(A,A,implies(implies(B,truth),truth),C)
% 80.91/81.13 Current number of equations to process: 3233
% 80.91/81.13 Current number of ordered equations: 1
% 80.91/81.13 Current number of rules: 1215
% 80.91/81.13 New rule produced :
% 80.91/81.13 [1229] ifeq(A,A,implies(implies(B,truth),truth),C) <-> truth big_V B
% 81.31/81.57 Current number of equations to process: 3233
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1216
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1230] ifeq2(X,X,truth big_V B,Y) <-> ifeq2(A,A,implies(B,B),C)
% 81.31/81.57 Current number of equations to process: 3231
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1217
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1231] ifeq2(A,A,implies(B,B),C) <-> ifeq2(X,X,truth big_V B,Y)
% 81.31/81.57 Current number of equations to process: 3231
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1218
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1232]
% 81.31/81.57 implies(truth,implies(truth,implies(A,A))) <-> ifeq2(B,B,truth big_V A,C)
% 81.31/81.57 Current number of equations to process: 3229
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1219
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1233]
% 81.31/81.57 ifeq2(B,B,truth big_V A,C) <-> implies(truth,implies(truth,implies(A,A)))
% 81.31/81.57 Current number of equations to process: 3229
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1220
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1234]
% 81.31/81.57 implies(implies(truth,truth),implies(A,A)) <-> ifeq2(B,B,truth big_V A,C)
% 81.31/81.57 Current number of equations to process: 3228
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1221
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1235]
% 81.31/81.57 ifeq2(B,B,truth big_V A,C) <-> implies(implies(truth,truth),implies(A,A))
% 81.31/81.57 Current number of equations to process: 3228
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1222
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1236] ifeq2(A,A,truth big_V truth,B) big_V C <-> implies(C,C)
% 81.31/81.57 Current number of equations to process: 3226
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1223
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1237] implies(C,C) <-> ifeq2(A,A,truth big_V truth,B) big_V C
% 81.31/81.57 Current number of equations to process: 3226
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1224
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1238] truth <-> implies(ifeq2(A,A,truth big_V not(truth),B),truth)
% 81.31/81.57 Current number of equations to process: 3224
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1225
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1239] implies(ifeq2(A,A,truth big_V not(truth),B),truth) <-> truth
% 81.31/81.57 Current number of equations to process: 3224
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1226
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1240] ifeq(A,A,truth,B) big_V C <-> ifeq2(X,X,truth big_V C,Y)
% 81.31/81.57 Current number of equations to process: 3223
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1227
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1241] ifeq2(X,X,truth big_V C,Y) <-> ifeq(A,A,truth,B) big_V C
% 81.31/81.57 Current number of equations to process: 3223
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1228
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1242] ifeq2(X,X,truth,Y) big_V B <-> ifeq2(A,A,implies(B,B),C)
% 81.31/81.57 Current number of equations to process: 3221
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1229
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1243] ifeq2(A,A,implies(B,B),C) <-> ifeq2(X,X,truth,Y) big_V B
% 81.31/81.57 Current number of equations to process: 3221
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1230
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1244]
% 81.31/81.57 implies(truth,implies(truth,implies(A,A))) <-> ifeq2(B,B,truth,C) big_V A
% 81.31/81.57 Current number of equations to process: 3219
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1231
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1245]
% 81.31/81.57 ifeq2(B,B,truth,C) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 81.31/81.57 Current number of equations to process: 3219
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1232
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1246]
% 81.31/81.57 implies(implies(truth,truth),implies(A,A)) <-> ifeq2(B,B,truth,C) big_V A
% 81.31/81.57 Current number of equations to process: 3218
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1233
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1247]
% 81.31/81.57 ifeq2(B,B,truth,C) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 81.31/81.57 Current number of equations to process: 3218
% 81.31/81.57 Current number of ordered equations: 0
% 81.31/81.57 Current number of rules: 1234
% 81.31/81.57 New rule produced :
% 81.31/81.57 [1248] implies(truth,truth) big_V ifeq2(A,A,truth,B) <-> implies(truth,truth)
% 81.31/81.57 Current number of equations to process: 3217
% 81.31/81.57 Current number of ordered equations: 1
% 81.31/81.57 Current number of rules: 1235
% 81.31/81.57 New rule produced :
% 81.91/82.15 [1249] implies(truth,truth) <-> implies(truth,truth) big_V ifeq2(A,A,truth,B)
% 81.91/82.15 Current number of equations to process: 3217
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1236
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1250] implies(C,C) <-> (truth big_V ifeq2(A,A,truth,B)) big_V C
% 81.91/82.15 Current number of equations to process: 3216
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1237
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1251] (truth big_V ifeq2(A,A,truth,B)) big_V C <-> implies(C,C)
% 81.91/82.15 Current number of equations to process: 3216
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1238
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1252] truth big_V C <-> implies(truth,ifeq2(A,A,truth,B) big_V C)
% 81.91/82.15 Current number of equations to process: 3215
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1239
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1253] implies(truth,ifeq2(A,A,truth,B) big_V C) <-> truth big_V C
% 81.91/82.15 Current number of equations to process: 3215
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1240
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1254] truth <-> implies(not(truth) big_V ifeq2(A,A,truth,B),truth)
% 81.91/82.15 Current number of equations to process: 3213
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1241
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1255] implies(not(truth) big_V ifeq2(A,A,truth,B),truth) <-> truth
% 81.91/82.15 Current number of equations to process: 3213
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1242
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1256] ifeq2(X,X,truth,Y) big_V B <-> ifeq(A,A,truth big_V B,C)
% 81.91/82.15 Current number of equations to process: 3212
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1243
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1257] ifeq(A,A,truth big_V B,C) <-> ifeq2(X,X,truth,Y) big_V B
% 81.91/82.15 Current number of equations to process: 3212
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1244
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1258] ifeq2(X,X,truth,Y) big_V B <-> ifeq2(A,A,truth big_V B,C)
% 81.91/82.15 Current number of equations to process: 3211
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1245
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1259] ifeq2(A,A,truth big_V B,C) <-> ifeq2(X,X,truth,Y) big_V B
% 81.91/82.15 Current number of equations to process: 3211
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1246
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1260] implies(B,B) <-> ifeq2(A,A,implies(implies(truth,B),B),C)
% 81.91/82.15 Current number of equations to process: 3202
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1247
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1261] ifeq2(A,A,implies(implies(truth,B),B),C) <-> implies(B,B)
% 81.91/82.15 Current number of equations to process: 3202
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1248
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1262] implies(B,B) <-> ifeq2(A,A,(truth big_V truth) big_V B,C)
% 81.91/82.15 Current number of equations to process: 3201
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1249
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1263] ifeq2(A,A,(truth big_V truth) big_V B,C) <-> implies(B,B)
% 81.91/82.15 Current number of equations to process: 3201
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1250
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1264] implies(truth,truth) <-> ifeq2(A,A,implies(truth big_V truth,truth),B)
% 81.91/82.15 Current number of equations to process: 3200
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1251
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1265] ifeq2(A,A,implies(truth big_V truth,truth),B) <-> implies(truth,truth)
% 81.91/82.15 Current number of equations to process: 3200
% 81.91/82.15 Current number of ordered equations: 0
% 81.91/82.15 Current number of rules: 1252
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1266]
% 81.91/82.15 implies(truth,implies(truth,truth)) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 81.91/82.15 Current number of equations to process: 3192
% 81.91/82.15 Current number of ordered equations: 3
% 81.91/82.15 Current number of rules: 1253
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1267]
% 81.91/82.15 implies(truth,implies(truth,truth big_V A)) <-> ifeq2(B,B,implies(A,A),C)
% 81.91/82.15 Current number of equations to process: 3192
% 81.91/82.15 Current number of ordered equations: 2
% 81.91/82.15 Current number of rules: 1254
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1268]
% 81.91/82.15 ifeq2(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth)) big_V A
% 81.91/82.15 Current number of equations to process: 3192
% 81.91/82.15 Current number of ordered equations: 1
% 81.91/82.15 Current number of rules: 1255
% 81.91/82.15 New rule produced :
% 81.91/82.15 [1269]
% 82.39/82.61 ifeq2(B,B,implies(A,A),C) <-> implies(truth,implies(truth,truth big_V A))
% 82.39/82.61 Current number of equations to process: 3192
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1256
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1270]
% 82.39/82.61 implies(implies(truth,truth),truth big_V A) <-> ifeq2(B,B,implies(A,A),C)
% 82.39/82.61 Current number of equations to process: 3190
% 82.39/82.61 Current number of ordered equations: 3
% 82.39/82.61 Current number of rules: 1257
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1271]
% 82.39/82.61 implies(implies(truth,truth),truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 82.39/82.61 Current number of equations to process: 3190
% 82.39/82.61 Current number of ordered equations: 2
% 82.39/82.61 Current number of rules: 1258
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1272]
% 82.39/82.61 ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth big_V A)
% 82.39/82.61 Current number of equations to process: 3190
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1259
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1273]
% 82.39/82.61 ifeq2(B,B,implies(A,A),C) <-> implies(implies(truth,truth),truth) big_V A
% 82.39/82.61 Current number of equations to process: 3190
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1260
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1274] truth big_V B <-> ifeq2(A,A,implies(truth,truth) big_V B,C)
% 82.39/82.61 Current number of equations to process: 3187
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1261
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1275] ifeq2(A,A,implies(truth,truth) big_V B,C) <-> truth big_V B
% 82.39/82.61 Current number of equations to process: 3187
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1262
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1276] truth big_V truth <-> ifeq2(A,A,ifeq(B,B,truth,C),X)
% 82.39/82.61 Current number of equations to process: 3186
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1263
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1277] ifeq2(A,A,ifeq(B,B,truth,C),X) <-> truth big_V truth
% 82.39/82.61 Current number of equations to process: 3186
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1264
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1278] truth big_V truth <-> ifeq2(A,A,ifeq2(B,B,truth,C),X)
% 82.39/82.61 Current number of equations to process: 3185
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1265
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1279] ifeq2(A,A,ifeq2(B,B,truth,C),X) <-> truth big_V truth
% 82.39/82.61 Current number of equations to process: 3185
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1266
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1280] truth big_V B <-> ifeq2(A,A,implies(implies(B,truth),truth),C)
% 82.39/82.61 Current number of equations to process: 3184
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1267
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1281] ifeq2(A,A,implies(implies(B,truth),truth),C) <-> truth big_V B
% 82.39/82.61 Current number of equations to process: 3184
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1268
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1282] implies(truth,implies(implies(B,C),C)) <-> ifeq(A,A,B big_V C,X)
% 82.39/82.61 Current number of equations to process: 3183
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1269
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1283] ifeq(A,A,B big_V C,X) <-> implies(truth,implies(implies(B,C),C))
% 82.39/82.61 Current number of equations to process: 3183
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1270
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1284] implies(truth,implies(implies(B,C),C)) <-> ifeq2(A,A,B big_V C,X)
% 82.39/82.61 Current number of equations to process: 3182
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1271
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1285] ifeq2(A,A,B big_V C,X) <-> implies(truth,implies(implies(B,C),C))
% 82.39/82.61 Current number of equations to process: 3182
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1272
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1286]
% 82.39/82.61 implies(truth,implies(implies(A,B),B)) <->
% 82.39/82.61 implies(implies(truth,truth),A big_V B)
% 82.39/82.61 Current number of equations to process: 3181
% 82.39/82.61 Current number of ordered equations: 1
% 82.39/82.61 Current number of rules: 1273
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1287]
% 82.39/82.61 implies(implies(truth,truth),A big_V B) <->
% 82.39/82.61 implies(truth,implies(implies(A,B),B))
% 82.39/82.61 Current number of equations to process: 3181
% 82.39/82.61 Current number of ordered equations: 0
% 82.39/82.61 Current number of rules: 1274
% 82.39/82.61 New rule produced :
% 82.39/82.61 [1288]
% 82.39/82.61 implies(A,A) <-> implies(truth,implies(implies(implies(truth,truth),A),A))
% 82.39/82.61 Current number of equations to process: 3180
% 82.39/82.61 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1275
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1289]
% 82.91/83.11 implies(truth,implies(implies(implies(truth,truth),A),A)) <-> implies(A,A)
% 82.91/83.11 Current number of equations to process: 3180
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1276
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1290]
% 82.91/83.11 implies(A,A) <-> implies(truth,implies(truth,implies(implies(truth,A),A)))
% 82.91/83.11 Current number of equations to process: 3178
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1277
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1291]
% 82.91/83.11 implies(truth,implies(truth,implies(implies(truth,A),A))) <-> implies(A,A)
% 82.91/83.11 Current number of equations to process: 3178
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1278
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1292]
% 82.91/83.11 A big_V A <-> implies(implies(truth,implies(implies(A,truth),truth)),A)
% 82.91/83.11 Current number of equations to process: 3176
% 82.91/83.11 Current number of ordered equations: 3
% 82.91/83.11 Current number of rules: 1279
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1293] A big_V A <-> implies(implies(truth,implies(implies(truth,A),A)),A)
% 82.91/83.11 Current number of equations to process: 3176
% 82.91/83.11 Current number of ordered equations: 2
% 82.91/83.11 Current number of rules: 1280
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1294]
% 82.91/83.11 implies(implies(truth,implies(implies(A,truth),truth)),A) <-> A big_V A
% 82.91/83.11 Current number of equations to process: 3176
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1281
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1295] implies(implies(truth,implies(implies(truth,A),A)),A) <-> A big_V A
% 82.91/83.11 Current number of equations to process: 3176
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1282
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1296]
% 82.91/83.11 implies(truth,implies(implies(truth,B),B)) <-> ifeq(A,A,implies(B,B),C)
% 82.91/83.11 Current number of equations to process: 3174
% 82.91/83.11 Current number of ordered equations: 3
% 82.91/83.11 Current number of rules: 1283
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1297]
% 82.91/83.11 implies(truth,implies(implies(B,truth),truth)) <-> ifeq(A,A,implies(B,B),C)
% 82.91/83.11 Current number of equations to process: 3174
% 82.91/83.11 Current number of ordered equations: 2
% 82.91/83.11 Current number of rules: 1284
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1298]
% 82.91/83.11 ifeq(A,A,implies(B,B),C) <-> implies(truth,implies(implies(truth,B),B))
% 82.91/83.11 Current number of equations to process: 3174
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1285
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1299]
% 82.91/83.11 ifeq(A,A,implies(B,B),C) <-> implies(truth,implies(implies(B,truth),truth))
% 82.91/83.11 Current number of equations to process: 3174
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1286
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1300]
% 82.91/83.11 implies(truth,implies(implies(truth,B),B)) <-> ifeq2(A,A,implies(B,B),C)
% 82.91/83.11 Current number of equations to process: 3172
% 82.91/83.11 Current number of ordered equations: 3
% 82.91/83.11 Current number of rules: 1287
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1301]
% 82.91/83.11 implies(truth,implies(implies(B,truth),truth)) <-> ifeq2(A,A,implies(B,B),C)
% 82.91/83.11 Current number of equations to process: 3172
% 82.91/83.11 Current number of ordered equations: 2
% 82.91/83.11 Current number of rules: 1288
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1302]
% 82.91/83.11 ifeq2(A,A,implies(B,B),C) <-> implies(truth,implies(implies(truth,B),B))
% 82.91/83.11 Current number of equations to process: 3172
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1289
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1303]
% 82.91/83.11 ifeq2(A,A,implies(B,B),C) <-> implies(truth,implies(implies(B,truth),truth))
% 82.91/83.11 Current number of equations to process: 3172
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1290
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1304]
% 82.91/83.11 implies(implies(truth,implies(A,B)),B) <->
% 82.91/83.11 implies(implies(truth,implies(B,A)),A)
% 82.91/83.11 Current number of equations to process: 3171
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1291
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1305] implies(implies(truth,implies(B,C)),C) <-> ifeq(A,A,B big_V C,X)
% 82.91/83.11 Current number of equations to process: 3170
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1292
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1306] ifeq(A,A,B big_V C,X) <-> implies(implies(truth,implies(B,C)),C)
% 82.91/83.11 Current number of equations to process: 3170
% 82.91/83.11 Current number of ordered equations: 0
% 82.91/83.11 Current number of rules: 1293
% 82.91/83.11 New rule produced :
% 82.91/83.11 [1307] implies(implies(truth,implies(B,C)),C) <-> ifeq2(A,A,B big_V C,X)
% 82.91/83.11 Current number of equations to process: 3169
% 82.91/83.11 Current number of ordered equations: 1
% 82.91/83.11 Current number of rules: 1294
% 82.91/83.11 New rule produced :
% 83.32/83.60 [1308] ifeq2(A,A,B big_V C,X) <-> implies(implies(truth,implies(B,C)),C)
% 83.32/83.60 Current number of equations to process: 3169
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1295
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1309]
% 83.32/83.60 implies(truth,implies(truth,A big_V B)) <->
% 83.32/83.60 implies(implies(truth,implies(A,B)),B)
% 83.32/83.60 Current number of equations to process: 3168
% 83.32/83.60 Current number of ordered equations: 1
% 83.32/83.60 Current number of rules: 1296
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1310]
% 83.32/83.60 implies(implies(truth,implies(A,B)),B) <->
% 83.32/83.60 implies(truth,implies(truth,A big_V B))
% 83.32/83.60 Current number of equations to process: 3168
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1297
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1311]
% 83.32/83.60 implies(implies(truth,truth),A big_V B) <->
% 83.32/83.60 implies(implies(truth,implies(A,B)),B)
% 83.32/83.60 Current number of equations to process: 3167
% 83.32/83.60 Current number of ordered equations: 1
% 83.32/83.60 Current number of rules: 1298
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1312]
% 83.32/83.60 implies(implies(truth,implies(A,B)),B) <->
% 83.32/83.60 implies(implies(truth,truth),A big_V B)
% 83.32/83.60 Current number of equations to process: 3167
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1299
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1313]
% 83.32/83.60 implies(A,A) <-> implies(truth,implies(implies(truth,implies(truth,A)),A))
% 83.32/83.60 Current number of equations to process: 3165
% 83.32/83.60 Current number of ordered equations: 3
% 83.32/83.60 Current number of rules: 1300
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1314]
% 83.32/83.60 implies(A,A) <->
% 83.32/83.60 implies(truth,implies(implies(truth,implies(A,truth)),truth))
% 83.32/83.60 Current number of equations to process: 3165
% 83.32/83.60 Current number of ordered equations: 2
% 83.32/83.60 Current number of rules: 1301
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1315]
% 83.32/83.60 implies(truth,implies(implies(truth,implies(truth,A)),A)) <-> implies(A,A)
% 83.32/83.60 Current number of equations to process: 3165
% 83.32/83.60 Current number of ordered equations: 1
% 83.32/83.60 Current number of rules: 1302
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1316]
% 83.32/83.60 implies(truth,implies(implies(truth,implies(A,truth)),truth)) <->
% 83.32/83.60 implies(A,A)
% 83.32/83.60 Current number of equations to process: 3165
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1303
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1317]
% 83.32/83.60 A big_V A <-> implies(implies(implies(truth,implies(A,truth)),truth),A)
% 83.32/83.60 Current number of equations to process: 3163
% 83.32/83.60 Current number of ordered equations: 3
% 83.32/83.60 Current number of rules: 1304
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1318] A big_V A <-> implies(implies(implies(truth,implies(truth,A)),A),A)
% 83.32/83.60 Current number of equations to process: 3163
% 83.32/83.60 Current number of ordered equations: 2
% 83.32/83.60 Current number of rules: 1305
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1319]
% 83.32/83.60 implies(implies(implies(truth,implies(A,truth)),truth),A) <-> A big_V A
% 83.32/83.60 Current number of equations to process: 3163
% 83.32/83.60 Current number of ordered equations: 1
% 83.32/83.60 Current number of rules: 1306
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1320] implies(implies(implies(truth,implies(truth,A)),A),A) <-> A big_V A
% 83.32/83.60 Current number of equations to process: 3163
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1307
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1321]
% 83.32/83.60 implies(implies(truth,implies(truth,B)),B) <-> ifeq(A,A,implies(B,B),C)
% 83.32/83.60 Current number of equations to process: 3161
% 83.32/83.60 Current number of ordered equations: 3
% 83.32/83.60 Current number of rules: 1308
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1322]
% 83.32/83.60 implies(implies(truth,implies(B,truth)),truth) <-> ifeq(A,A,implies(B,B),C)
% 83.32/83.60 Current number of equations to process: 3161
% 83.32/83.60 Current number of ordered equations: 2
% 83.32/83.60 Current number of rules: 1309
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1323]
% 83.32/83.60 ifeq(A,A,implies(B,B),C) <-> implies(implies(truth,implies(truth,B)),B)
% 83.32/83.60 Current number of equations to process: 3161
% 83.32/83.60 Current number of ordered equations: 1
% 83.32/83.60 Current number of rules: 1310
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1324]
% 83.32/83.60 ifeq(A,A,implies(B,B),C) <-> implies(implies(truth,implies(B,truth)),truth)
% 83.32/83.60 Current number of equations to process: 3161
% 83.32/83.60 Current number of ordered equations: 0
% 83.32/83.60 Current number of rules: 1311
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1325]
% 83.32/83.60 implies(implies(truth,implies(truth,B)),B) <-> ifeq2(A,A,implies(B,B),C)
% 83.32/83.60 Current number of equations to process: 3159
% 83.32/83.60 Current number of ordered equations: 3
% 83.32/83.60 Current number of rules: 1312
% 83.32/83.60 New rule produced :
% 83.32/83.60 [1326]
% 83.32/83.60 implies(implies(truth,implies(B,truth)),truth) <-> ifeq2(A,A,implies(B,B),C)
% 83.32/83.60 Current number of equations to process: 3159
% 83.32/83.60 Current number of ordered equations: 2
% 83.32/83.60 Current number of rules: 1313
% 83.91/84.10 New rule produced :
% 83.91/84.10 [1327]
% 83.91/84.10 ifeq2(A,A,implies(B,B),C) <-> implies(implies(truth,implies(truth,B)),B)
% 83.91/84.10 Current number of equations to process: 3159
% 83.91/84.10 Current number of ordered equations: 1
% 83.91/84.10 Current number of rules: 1314
% 83.91/84.10 New rule produced :
% 83.91/84.10 [1328]
% 83.91/84.10 ifeq2(A,A,implies(B,B),C) <-> implies(implies(truth,implies(B,truth)),truth)
% 83.91/84.10 Current number of equations to process: 3159
% 83.91/84.10 Current number of ordered equations: 0
% 83.91/84.10 Current number of rules: 1315
% 83.91/84.10 New rule produced :
% 83.91/84.10 [1329]
% 83.91/84.10 implies(truth,implies(implies(A,B),B)) <->
% 83.91/84.10 implies(implies(truth,implies(A,B)),B)
% 83.91/84.10 Current number of equations to process: 3157
% 83.91/84.10 Current number of ordered equations: 3
% 83.91/84.10 Current number of rules: 1316
% 83.91/84.10 New rule produced :
% 83.91/84.10 [1330]
% 83.91/84.10 implies(truth,implies(implies(A,B),B)) <->
% 83.91/84.10 implies(implies(truth,implies(B,A)),A)
% 83.91/84.10 Current number of equations to process: 3157
% 83.91/84.10 Current number of ordered equations: 2
% 83.91/84.10 Current number of rules: 1317
% 83.91/84.10 New rule produced :
% 83.91/84.10 [1331]
% 83.91/84.10 implies(implies(truth,implies(A,B)),B) <->
% 83.91/84.10 implies(truth,implies(implies(A,B),B))
% 83.91/84.10 Current number of equations to process: 3157
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1318
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1332]
% 83.91/84.11 implies(implies(truth,implies(B,A)),A) <->
% 83.91/84.11 implies(truth,implies(implies(A,B),B))
% 83.91/84.11 Current number of equations to process: 3157
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1319
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1333] A big_V B <-> implies(truth,implies(implies(truth,implies(A,B)),B))
% 83.91/84.11 Current number of equations to process: 3154
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1320
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1334] implies(truth,implies(implies(truth,implies(A,B)),B)) <-> A big_V B
% 83.91/84.11 Current number of equations to process: 3154
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1321
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1335] A big_V B <-> implies(truth big_V truth,implies(implies(A,B),B))
% 83.91/84.11 Current number of equations to process: 3153
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1322
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1336] implies(truth big_V truth,implies(implies(A,B),B)) <-> A big_V B
% 83.91/84.11 Current number of equations to process: 3153
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1323
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1337] A big_V A <-> implies(truth,implies(implies(truth,truth) big_V A,A))
% 83.91/84.11 Current number of equations to process: 3152
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1324
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1338] implies(truth,implies(implies(truth,truth) big_V A,A)) <-> A big_V A
% 83.91/84.11 Current number of equations to process: 3152
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1325
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1339] A big_V A <-> implies(truth,implies(implies(truth,truth big_V A),A))
% 83.91/84.11 Current number of equations to process: 3151
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1326
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1340] implies(truth,implies(implies(truth,truth big_V A),A)) <-> A big_V A
% 83.91/84.11 Current number of equations to process: 3151
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1327
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1341] truth big_V B <-> implies(truth,implies(ifeq(A,A,B,C),B))
% 83.91/84.11 Current number of equations to process: 3150
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1328
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1342] implies(truth,implies(ifeq(A,A,B,C),B)) <-> truth big_V B
% 83.91/84.11 Current number of equations to process: 3150
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1329
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1343] truth big_V B <-> implies(truth,implies(ifeq2(A,A,B,C),B))
% 83.91/84.11 Current number of equations to process: 3149
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1330
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1344] implies(truth,implies(ifeq2(A,A,B,C),B)) <-> truth big_V B
% 83.91/84.11 Current number of equations to process: 3149
% 83.91/84.11 Current number of ordered equations: 0
% 83.91/84.11 Current number of rules: 1331
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1345]
% 83.91/84.11 A big_V A <-> implies(truth,implies(implies(implies(A,truth),truth),A))
% 83.91/84.11 Current number of equations to process: 3148
% 83.91/84.11 Current number of ordered equations: 1
% 83.91/84.11 Current number of rules: 1332
% 83.91/84.11 New rule produced :
% 83.91/84.11 [1346]
% 83.91/84.11 implies(truth,implies(implies(implies(A,truth),truth),A)) <-> A big_V A
% 84.42/84.63 Current number of equations to process: 3148
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1333
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1347]
% 84.42/84.63 implies(truth,implies(A,B)) big_V B <-> implies(implies(truth,A big_V B),B)
% 84.42/84.63 Current number of equations to process: 3147
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1334
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1348]
% 84.42/84.63 implies(implies(truth,A big_V B),B) <-> implies(truth,implies(A,B)) big_V B
% 84.42/84.63 Current number of equations to process: 3147
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1335
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1349] implies(implies(truth big_V truth,implies(A,B)),B) <-> A big_V B
% 84.42/84.63 Current number of equations to process: 3143
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1336
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1350] A big_V B <-> implies(implies(truth big_V truth,implies(A,B)),B)
% 84.42/84.63 Current number of equations to process: 3143
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1337
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1351] A big_V A <-> implies(implies(truth,implies(truth,truth) big_V A),A)
% 84.42/84.63 Current number of equations to process: 3142
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1338
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1352] implies(implies(truth,implies(truth,truth) big_V A),A) <-> A big_V A
% 84.42/84.63 Current number of equations to process: 3142
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1339
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1353] truth big_V B <-> implies(implies(truth,ifeq(A,A,B,C)),B)
% 84.42/84.63 Current number of equations to process: 3140
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1340
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1354] implies(implies(truth,ifeq(A,A,B,C)),B) <-> truth big_V B
% 84.42/84.63 Current number of equations to process: 3140
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1341
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1355] truth big_V B <-> implies(implies(truth,ifeq2(A,A,B,C)),B)
% 84.42/84.63 Current number of equations to process: 3139
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1342
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1356] implies(implies(truth,ifeq2(A,A,B,C)),B) <-> truth big_V B
% 84.42/84.63 Current number of equations to process: 3139
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1343
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1357]
% 84.42/84.63 implies(truth,implies(A big_V B,B)) <-> implies(truth,implies(A,B)) big_V B
% 84.42/84.63 Current number of equations to process: 3137
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1344
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1358]
% 84.42/84.63 implies(truth,implies(A,B)) big_V B <-> implies(truth,implies(A big_V B,B))
% 84.42/84.63 Current number of equations to process: 3137
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1345
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1359] not(implies(truth,not(A) big_V not(B))) <-> implies(truth,A big_hat B)
% 84.42/84.63 Current number of equations to process: 3135
% 84.42/84.63 Current number of ordered equations: 3
% 84.42/84.63 Current number of rules: 1346
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1360] not(not(A) big_V implies(truth,not(B))) <-> implies(truth,A big_hat B)
% 84.42/84.63 Current number of equations to process: 3135
% 84.42/84.63 Current number of ordered equations: 2
% 84.42/84.63 Current number of rules: 1347
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1361] implies(truth,A big_hat B) <-> not(implies(truth,not(A) big_V not(B)))
% 84.42/84.63 Current number of equations to process: 3135
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1348
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1362] implies(truth,A big_hat B) <-> not(not(A) big_V implies(truth,not(B)))
% 84.42/84.63 Current number of equations to process: 3135
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1349
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1363] not(implies(truth big_V not(A),not(A))) <-> implies(truth,A big_hat A)
% 84.42/84.63 Current number of equations to process: 3134
% 84.42/84.63 Current number of ordered equations: 1
% 84.42/84.63 Current number of rules: 1350
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1364] implies(truth,A big_hat A) <-> not(implies(truth big_V not(A),not(A)))
% 84.42/84.63 Current number of equations to process: 3134
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1351
% 84.42/84.63 New rule produced :
% 84.42/84.63 [1365] (eq)(A big_hat B,not(not(A) big_V not(B))) -> (true)
% 84.42/84.63 Current number of equations to process: 3133
% 84.42/84.63 Current number of ordered equations: 0
% 84.42/84.63 Current number of rules: 1352
% 84.42/84.63 New rule produced :
% 84.91/85.18 [1366] B <-> implies(implies(truth big_V not(A),implies(A,A)),B)
% 84.91/85.18 Current number of equations to process: 3132
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1353
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1367] implies(implies(truth big_V not(A),implies(A,A)),B) <-> B
% 84.91/85.18 Current number of equations to process: 3132
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1354
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1368] implies(truth big_V not(C),implies(C,C)) <-> ifeq(A,A,truth,B)
% 84.91/85.18 Current number of equations to process: 3131
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1355
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1369] ifeq(A,A,truth,B) <-> implies(truth big_V not(C),implies(C,C))
% 84.91/85.18 Current number of equations to process: 3131
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1356
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1370] implies(truth big_V not(C),implies(C,C)) <-> ifeq2(A,A,truth,B)
% 84.91/85.18 Current number of equations to process: 3130
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1357
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1371] ifeq2(A,A,truth,B) <-> implies(truth big_V not(C),implies(C,C))
% 84.91/85.18 Current number of equations to process: 3130
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1358
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1372] truth <-> truth big_V implies(truth big_V not(A),implies(A,A))
% 84.91/85.18 Current number of equations to process: 3129
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1359
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1373] truth big_V implies(truth big_V not(A),implies(A,A)) <-> truth
% 84.91/85.18 Current number of equations to process: 3129
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1360
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1374]
% 84.91/85.18 implies(truth,implies(truth,truth)) <->
% 84.91/85.18 implies(truth big_V not(A),implies(A,A))
% 84.91/85.18 Current number of equations to process: 3128
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1361
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1375]
% 84.91/85.18 implies(truth big_V not(A),implies(A,A)) <->
% 84.91/85.18 implies(truth,implies(truth,truth))
% 84.91/85.18 Current number of equations to process: 3128
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1362
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1376]
% 84.91/85.18 implies(implies(truth,truth),truth) <->
% 84.91/85.18 implies(truth big_V not(A),implies(A,A))
% 84.91/85.18 Current number of equations to process: 3127
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1363
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1377]
% 84.91/85.18 implies(truth big_V not(A),implies(A,A)) <->
% 84.91/85.18 implies(implies(truth,truth),truth)
% 84.91/85.18 Current number of equations to process: 3127
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1364
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1378] truth <-> implies(truth,implies(truth big_V not(A),implies(A,A)))
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 5
% 84.91/85.18 Current number of rules: 1365
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1379] truth <-> implies(truth big_V not(A),implies(truth,implies(A,A)))
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 4
% 84.91/85.18 Current number of rules: 1366
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1380] truth <-> implies(truth big_V implies(truth,not(A)),implies(A,A))
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 3
% 84.91/85.18 Current number of rules: 1367
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1381] implies(truth,implies(truth big_V not(A),implies(A,A))) <-> truth
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 2
% 84.91/85.18 Current number of rules: 1368
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1382] implies(truth big_V not(A),implies(truth,implies(A,A))) <-> truth
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1369
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1383] implies(truth big_V implies(truth,not(A)),implies(A,A)) <-> truth
% 84.91/85.18 Current number of equations to process: 3122
% 84.91/85.18 Current number of ordered equations: 0
% 84.91/85.18 Current number of rules: 1370
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1384]
% 84.91/85.18 implies(truth,implies(A,A)) <-> (truth big_V not(A)) big_V implies(A,A)
% 84.91/85.18 Current number of equations to process: 3120
% 84.91/85.18 Current number of ordered equations: 1
% 84.91/85.18 Current number of rules: 1371
% 84.91/85.18 New rule produced :
% 84.91/85.18 [1385]
% 84.91/85.18 (truth big_V not(A)) big_V implies(A,A) <-> implies(truth,implies(A,A))
% 84.91/85.18 Current number of equations to process: 3120
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1372
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1386] truth <-> implies((truth big_V truth) big_V not(A),implies(A,A))
% 85.62/85.88 Current number of equations to process: 3119
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1373
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1387] implies((truth big_V truth) big_V not(A),implies(A,A)) <-> truth
% 85.62/85.88 Current number of equations to process: 3119
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1374
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1388]
% 85.62/85.88 truth <-> implies(truth big_V not(implies(truth,truth)),implies(truth,truth))
% 85.62/85.88 Current number of equations to process: 3118
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1375
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1389]
% 85.62/85.88 implies(truth big_V not(implies(truth,truth)),implies(truth,truth)) <-> truth
% 85.62/85.88 Current number of equations to process: 3118
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1376
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1390] truth <-> implies(truth big_V not(A),implies(truth,truth) big_V A)
% 85.62/85.88 Current number of equations to process: 3117
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1377
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1391] implies(truth big_V not(A),implies(truth,truth) big_V A) <-> truth
% 85.62/85.88 Current number of equations to process: 3117
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1378
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1392] truth <-> implies(truth big_V not(A),implies(truth,truth big_V A))
% 85.62/85.88 Current number of equations to process: 3116
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1379
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1393] implies(truth big_V not(A),implies(truth,truth big_V A)) <-> truth
% 85.62/85.88 Current number of equations to process: 3116
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1380
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1394] truth <-> implies(truth big_V not(truth),ifeq(A,A,truth,B))
% 85.62/85.88 Current number of equations to process: 3115
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1381
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1395] implies(truth big_V not(truth),ifeq(A,A,truth,B)) <-> truth
% 85.62/85.88 Current number of equations to process: 3115
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1382
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1396] truth <-> implies(truth big_V not(truth),ifeq2(A,A,truth,B))
% 85.62/85.88 Current number of equations to process: 3114
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1383
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1397] implies(truth big_V not(truth),ifeq2(A,A,truth,B)) <-> truth
% 85.62/85.88 Current number of equations to process: 3114
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1384
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1398] truth <-> implies(truth big_V not(A),implies(implies(A,truth),truth))
% 85.62/85.88 Current number of equations to process: 3113
% 85.62/85.88 Current number of ordered equations: 1
% 85.62/85.88 Current number of rules: 1385
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1399] implies(truth big_V not(A),implies(implies(A,truth),truth)) <-> truth
% 85.62/85.88 Current number of equations to process: 3113
% 85.62/85.88 Current number of ordered equations: 0
% 85.62/85.88 Current number of rules: 1386
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1400]
% 85.62/85.88 implies(x,z) big_hat implies(x,y) <-> implies(truth,implies(x,z big_hat y))
% 85.62/85.88 Current number of equations to process: 3106
% 85.62/85.88 Current number of ordered equations: 9
% 85.62/85.88 Current number of rules: 1387
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1401]
% 85.62/85.88 implies(x,z) big_hat implies(x,y) <-> implies(x,implies(truth,z big_hat y))
% 85.62/85.88 Current number of equations to process: 3106
% 85.62/85.88 Current number of ordered equations: 8
% 85.62/85.88 Current number of rules: 1388
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1402]
% 85.62/85.88 implies(x,z) big_hat implies(x,y) <-> implies(x,y big_hat implies(truth,z))
% 85.62/85.88 Current number of equations to process: 3106
% 85.62/85.88 Current number of ordered equations: 7
% 85.62/85.88 Current number of rules: 1389
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1403]
% 85.62/85.88 implies(x,z) big_hat implies(x,y) <-> implies(x,z big_hat implies(truth,y))
% 85.62/85.88 Current number of equations to process: 3106
% 85.62/85.88 Current number of ordered equations: 6
% 85.62/85.88 Current number of rules: 1390
% 85.62/85.88 New rule produced :
% 85.62/85.88 [1404]
% 85.62/85.88 implies(x,z) big_hat implies(x,y) <-> implies(implies(truth,x),z big_hat y)
% 85.62/85.88 Current number of equations to process: 3106
% 85.62/85.88 Current number of ordered equations: 5
% 85.62/85.88 Current number of rules: 1391
% 85.62/85.88 New rule produced :
% 86.21/86.40 [1405]
% 86.21/86.40 implies(truth,implies(x,z big_hat y)) <-> implies(x,z) big_hat implies(x,y)
% 86.21/86.40 Current number of equations to process: 3106
% 86.21/86.40 Current number of ordered equations: 4
% 86.21/86.40 Current number of rules: 1392
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1406]
% 86.21/86.40 implies(x,implies(truth,z big_hat y)) <-> implies(x,z) big_hat implies(x,y)
% 86.21/86.40 Current number of equations to process: 3106
% 86.21/86.40 Current number of ordered equations: 3
% 86.21/86.40 Current number of rules: 1393
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1407]
% 86.21/86.40 implies(x,y big_hat implies(truth,z)) <-> implies(x,z) big_hat implies(x,y)
% 86.21/86.40 Current number of equations to process: 3106
% 86.21/86.40 Current number of ordered equations: 2
% 86.21/86.40 Current number of rules: 1394
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1408]
% 86.21/86.40 implies(x,z big_hat implies(truth,y)) <-> implies(x,z) big_hat implies(x,y)
% 86.21/86.40 Current number of equations to process: 3106
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1395
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1409]
% 86.21/86.40 implies(implies(truth,x),z big_hat y) <-> implies(x,z) big_hat implies(x,y)
% 86.21/86.40 Current number of equations to process: 3106
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1396
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1410] ifeq(B,B,A big_V A,C) <-> implies(implies(truth,truth) big_V A,A)
% 86.21/86.40 Current number of equations to process: 3094
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1397
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1411] implies(implies(truth,truth) big_V A,A) <-> ifeq(B,B,A big_V A,C)
% 86.21/86.40 Current number of equations to process: 3094
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1398
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1412] ifeq(B,B,A big_V A,C) <-> implies(implies(truth,truth big_V A),A)
% 86.21/86.40 Current number of equations to process: 3093
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1399
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1413] implies(implies(truth,truth big_V A),A) <-> ifeq(B,B,A big_V A,C)
% 86.21/86.40 Current number of equations to process: 3093
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1400
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1414] implies(ifeq(A,A,B,C),B) <-> ifeq(X,X,truth big_V B,Y)
% 86.21/86.40 Current number of equations to process: 3092
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1401
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1415] ifeq(X,X,truth big_V B,Y) <-> implies(ifeq(A,A,B,C),B)
% 86.21/86.40 Current number of equations to process: 3092
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1402
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1416] implies(ifeq2(A,A,B,C),B) <-> ifeq(X,X,truth big_V B,Y)
% 86.21/86.40 Current number of equations to process: 3091
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1403
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1417] ifeq(X,X,truth big_V B,Y) <-> implies(ifeq2(A,A,B,C),B)
% 86.21/86.40 Current number of equations to process: 3091
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1404
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1418] ifeq(B,B,A big_V A,C) <-> implies(implies(implies(A,truth),truth),A)
% 86.21/86.40 Current number of equations to process: 3090
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1405
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1419] implies(implies(implies(A,truth),truth),A) <-> ifeq(B,B,A big_V A,C)
% 86.21/86.40 Current number of equations to process: 3090
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1406
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1420] truth <-> ifeq(A,A,not(truth) big_V not(not(truth)),B)
% 86.21/86.40 Current number of equations to process: 3089
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1407
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1421] ifeq(A,A,not(truth) big_V not(not(truth)),B) <-> truth
% 86.21/86.40 Current number of equations to process: 3089
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1408
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1422]
% 86.21/86.40 implies(implies(implies(truth,truth),B),B) <-> ifeq(A,A,implies(B,B),C)
% 86.21/86.40 Current number of equations to process: 3088
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1409
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1423]
% 86.21/86.40 ifeq(A,A,implies(B,B),C) <-> implies(implies(implies(truth,truth),B),B)
% 86.21/86.40 Current number of equations to process: 3088
% 86.21/86.40 Current number of ordered equations: 0
% 86.21/86.40 Current number of rules: 1410
% 86.21/86.40 New rule produced :
% 86.21/86.40 [1424] ifeq2(B,B,A big_V A,C) <-> implies(implies(truth,truth) big_V A,A)
% 86.21/86.40 Current number of equations to process: 3084
% 86.21/86.40 Current number of ordered equations: 1
% 86.21/86.40 Current number of rules: 1411
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1425] implies(implies(truth,truth) big_V A,A) <-> ifeq2(B,B,A big_V A,C)
% 86.72/86.92 Current number of equations to process: 3084
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1412
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1426] ifeq2(B,B,A big_V A,C) <-> implies(implies(truth,truth big_V A),A)
% 86.72/86.92 Current number of equations to process: 3083
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1413
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1427] implies(implies(truth,truth big_V A),A) <-> ifeq2(B,B,A big_V A,C)
% 86.72/86.92 Current number of equations to process: 3083
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1414
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1428] implies(ifeq(A,A,B,C),B) <-> ifeq2(X,X,truth big_V B,Y)
% 86.72/86.92 Current number of equations to process: 3082
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1415
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1429] ifeq2(X,X,truth big_V B,Y) <-> implies(ifeq(A,A,B,C),B)
% 86.72/86.92 Current number of equations to process: 3082
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1416
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1430] implies(ifeq2(A,A,B,C),B) <-> ifeq2(X,X,truth big_V B,Y)
% 86.72/86.92 Current number of equations to process: 3081
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1417
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1431] ifeq2(X,X,truth big_V B,Y) <-> implies(ifeq2(A,A,B,C),B)
% 86.72/86.92 Current number of equations to process: 3081
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1418
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1432] ifeq2(B,B,A big_V A,C) <-> implies(implies(implies(A,truth),truth),A)
% 86.72/86.92 Current number of equations to process: 3080
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1419
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1433] implies(implies(implies(A,truth),truth),A) <-> ifeq2(B,B,A big_V A,C)
% 86.72/86.92 Current number of equations to process: 3080
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1420
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1434] truth <-> ifeq2(A,A,not(truth) big_V not(not(truth)),B)
% 86.72/86.92 Current number of equations to process: 3079
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1421
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1435] ifeq2(A,A,not(truth) big_V not(not(truth)),B) <-> truth
% 86.72/86.92 Current number of equations to process: 3079
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1422
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1436]
% 86.72/86.92 implies(implies(implies(truth,truth),B),B) <-> ifeq2(A,A,implies(B,B),C)
% 86.72/86.92 Current number of equations to process: 3078
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1423
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1437]
% 86.72/86.92 ifeq2(A,A,implies(B,B),C) <-> implies(implies(implies(truth,truth),B),B)
% 86.72/86.92 Current number of equations to process: 3078
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1424
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1438] (eq)(not(not(A) big_V not(B)),A big_hat B) -> (true)
% 86.72/86.92 Current number of equations to process: 3075
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1425
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1439]
% 86.72/86.92 implies(truth,implies(A,implies(truth,A))) <->
% 86.72/86.92 implies(implies(implies(truth,A),truth),truth)
% 86.72/86.92 Current number of equations to process: 3074
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1426
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1440]
% 86.72/86.92 implies(implies(implies(truth,A),truth),truth) <->
% 86.72/86.92 implies(truth,implies(A,implies(truth,A)))
% 86.72/86.92 Current number of equations to process: 3074
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1427
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1441]
% 86.72/86.92 implies(truth,implies(implies(A,A),A)) <->
% 86.72/86.92 implies(implies(truth,truth) big_V A,A)
% 86.72/86.92 Current number of equations to process: 3072
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1428
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1442]
% 86.72/86.92 implies(implies(truth,truth) big_V A,A) <->
% 86.72/86.92 implies(truth,implies(implies(A,A),A))
% 86.72/86.92 Current number of equations to process: 3072
% 86.72/86.92 Current number of ordered equations: 0
% 86.72/86.92 Current number of rules: 1429
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1443]
% 86.72/86.92 implies(truth,implies(implies(A,A),A)) <->
% 86.72/86.92 implies(implies(truth,truth big_V A),A)
% 86.72/86.92 Current number of equations to process: 3071
% 86.72/86.92 Current number of ordered equations: 1
% 86.72/86.92 Current number of rules: 1430
% 86.72/86.92 New rule produced :
% 86.72/86.92 [1444]
% 86.72/86.92 implies(implies(truth,truth big_V A),A) <->
% 86.72/86.92 implies(truth,implies(implies(A,A),A))
% 87.32/87.50 Current number of equations to process: 3071
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1431
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1445]
% 87.32/87.50 implies(ifeq(A,A,B,C),B) <-> implies(truth,implies(implies(B,truth),truth))
% 87.32/87.50 Current number of equations to process: 3070
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1432
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1446]
% 87.32/87.50 implies(truth,implies(implies(B,truth),truth)) <-> implies(ifeq(A,A,B,C),B)
% 87.32/87.50 Current number of equations to process: 3070
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1433
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1447]
% 87.32/87.50 implies(ifeq2(A,A,B,C),B) <-> implies(truth,implies(implies(B,truth),truth))
% 87.32/87.50 Current number of equations to process: 3069
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1434
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1448]
% 87.32/87.50 implies(truth,implies(implies(B,truth),truth)) <-> implies(ifeq2(A,A,B,C),B)
% 87.32/87.50 Current number of equations to process: 3069
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1435
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1449]
% 87.32/87.50 implies(truth,implies(implies(A,A),A)) <->
% 87.32/87.50 implies(implies(implies(A,truth),truth),A)
% 87.32/87.50 Current number of equations to process: 3068
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1436
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1450]
% 87.32/87.50 implies(implies(implies(A,truth),truth),A) <->
% 87.32/87.50 implies(truth,implies(implies(A,A),A))
% 87.32/87.50 Current number of equations to process: 3068
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1437
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1451]
% 87.32/87.50 implies(ifeq(A,A,B,C),B) <-> implies(implies(truth,implies(B,truth)),truth)
% 87.32/87.50 Current number of equations to process: 3062
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1438
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1452]
% 87.32/87.50 implies(implies(truth,implies(B,truth)),truth) <-> implies(ifeq(A,A,B,C),B)
% 87.32/87.50 Current number of equations to process: 3062
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1439
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1453]
% 87.32/87.50 implies(ifeq2(A,A,B,C),B) <-> implies(implies(truth,implies(B,truth)),truth)
% 87.32/87.50 Current number of equations to process: 3061
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1440
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1454]
% 87.32/87.50 implies(implies(truth,implies(B,truth)),truth) <-> implies(ifeq2(A,A,B,C),B)
% 87.32/87.50 Current number of equations to process: 3061
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1441
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1455]
% 87.32/87.50 implies(truth,implies(B,A)) big_V A <-> implies(implies(implies(A,B),B),A)
% 87.32/87.50 Current number of equations to process: 3056
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1442
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1456]
% 87.32/87.50 implies(implies(implies(A,B),B),A) <-> implies(truth,implies(B,A)) big_V A
% 87.32/87.50 Current number of equations to process: 3056
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1443
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1457]
% 87.32/87.50 (implies(truth,truth) big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 87.32/87.50 Current number of equations to process: 3052
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1444
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1458]
% 87.32/87.50 implies(implies(implies(A,A),A),A) <-> (implies(truth,truth) big_V A) big_V A
% 87.32/87.50 Current number of equations to process: 3052
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1445
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1459]
% 87.32/87.50 implies(truth,truth big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 87.32/87.50 Current number of equations to process: 3051
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1446
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1460]
% 87.32/87.50 implies(implies(implies(A,A),A),A) <-> implies(truth,truth big_V A) big_V A
% 87.32/87.50 Current number of equations to process: 3051
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1447
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1461] ifeq(A,A,B,C) big_V B <-> implies(implies(implies(B,truth),truth),B)
% 87.32/87.50 Current number of equations to process: 3050
% 87.32/87.50 Current number of ordered equations: 1
% 87.32/87.50 Current number of rules: 1448
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1462] implies(implies(implies(B,truth),truth),B) <-> ifeq(A,A,B,C) big_V B
% 87.32/87.50 Current number of equations to process: 3050
% 87.32/87.50 Current number of ordered equations: 0
% 87.32/87.50 Current number of rules: 1449
% 87.32/87.50 New rule produced :
% 87.32/87.50 [1463] ifeq2(A,A,B,C) big_V B <-> implies(implies(implies(B,truth),truth),B)
% 87.82/88.05 Current number of equations to process: 3049
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1450
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1464] implies(implies(implies(B,truth),truth),B) <-> ifeq2(A,A,B,C) big_V B
% 87.82/88.05 Current number of equations to process: 3049
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1451
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1465]
% 87.82/88.05 implies(implies(A,truth),truth) big_V A <->
% 87.82/88.05 implies(implies(implies(A,A),A),A)
% 87.82/88.05 Current number of equations to process: 3048
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1452
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1466]
% 87.82/88.05 implies(implies(implies(A,A),A),A) <->
% 87.82/88.05 implies(implies(A,truth),truth) big_V A
% 87.82/88.05 Current number of equations to process: 3048
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1453
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1467]
% 87.82/88.05 truth big_V implies(implies(truth,A),truth) <->
% 87.82/88.05 implies(implies(A,implies(truth,A)),truth)
% 87.82/88.05 Current number of equations to process: 3046
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1454
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1468]
% 87.82/88.05 implies(implies(A,implies(truth,A)),truth) <->
% 87.82/88.05 truth big_V implies(implies(truth,A),truth)
% 87.82/88.05 Current number of equations to process: 3046
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1455
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1469] ifeq(ordered(A,A),true,truth big_V A,truth) <-> implies(truth,truth)
% 87.82/88.05 Current number of equations to process: 3044
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1456
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1470] implies(truth,truth) <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 87.82/88.05 Current number of equations to process: 3044
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1457
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1471] ifeq(ordered(A,A),true,truth big_V A,truth) <-> truth big_V truth
% 87.82/88.05 Current number of equations to process: 3043
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1458
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1472] truth big_V truth <-> ifeq(ordered(A,A),true,truth big_V A,truth)
% 87.82/88.05 Current number of equations to process: 3043
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1459
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1473] implies(truth,truth) <-> implies(implies(not(A),not(A)),truth big_V A)
% 87.82/88.05 Current number of equations to process: 3042
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1460
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1474] implies(implies(not(A),not(A)),truth big_V A) <-> implies(truth,truth)
% 87.82/88.05 Current number of equations to process: 3042
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1461
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1475] truth big_V truth <-> implies(implies(not(A),not(A)),truth big_V A)
% 87.82/88.05 Current number of equations to process: 3041
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1462
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1476] implies(implies(not(A),not(A)),truth big_V A) <-> truth big_V truth
% 87.82/88.05 Current number of equations to process: 3041
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1463
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1477] truth <-> implies(not(A) big_V implies(truth,truth),truth big_V A)
% 87.82/88.05 Current number of equations to process: 3040
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1464
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1478] implies(not(A) big_V implies(truth,truth),truth big_V A) <-> truth
% 87.82/88.05 Current number of equations to process: 3040
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1465
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1479] truth <-> implies(implies(truth,truth big_V not(A)),truth big_V A)
% 87.82/88.05 Current number of equations to process: 3039
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1466
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1480] implies(implies(truth,truth big_V not(A)),truth big_V A) <-> truth
% 87.82/88.05 Current number of equations to process: 3039
% 87.82/88.05 Current number of ordered equations: 0
% 87.82/88.05 Current number of rules: 1467
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1481] truth <-> implies(implies(implies(not(A),truth),truth),truth big_V A)
% 87.82/88.05 Current number of equations to process: 3038
% 87.82/88.05 Current number of ordered equations: 1
% 87.82/88.05 Current number of rules: 1468
% 87.82/88.05 New rule produced :
% 87.82/88.05 [1482] implies(implies(implies(not(A),truth),truth),truth big_V A) <-> truth
% 100.73/100.96 Current number of equations to process: 3038
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1469
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1483] implies(truth,true) <-> ifeq2(truth big_V A,truth,ordered(A,A),true)
% 100.73/100.96 Current number of equations to process: 3037
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1470
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1484] ifeq2(truth big_V A,truth,ordered(A,A),true) <-> implies(truth,true)
% 100.73/100.96 Current number of equations to process: 3037
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1471
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1485] implies(truth,truth) big_V B <-> implies(ifeq(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3436
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1472
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1486] implies(ifeq(A,A,B,C),B) <-> implies(truth,truth) big_V B
% 100.73/100.96 Current number of equations to process: 3436
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1473
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1487] implies(ifeq(A,A,B,C),B) <-> ifeq(X,X,truth,Y) big_V B
% 100.73/100.96 Current number of equations to process: 3475
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1474
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1488] ifeq(X,X,truth,Y) big_V B <-> implies(ifeq(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3475
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1475
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1489] implies(ifeq(A,A,B,C),B) <-> ifeq2(X,X,truth,Y) big_V B
% 100.73/100.96 Current number of equations to process: 3474
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1476
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1490] ifeq2(X,X,truth,Y) big_V B <-> implies(ifeq(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3474
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1477
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1491] implies(ifeq(A,A,truth,B),C) <-> implies(not(C),not(truth)) big_V C
% 100.73/100.96 Current number of equations to process: 3473
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1478
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1492] implies(not(C),not(truth)) big_V C <-> implies(ifeq(A,A,truth,B),C)
% 100.73/100.96 Current number of equations to process: 3473
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1479
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1493] not(truth) big_V not(not(truth)) <-> ifeq(A,A,truth,B)
% 100.73/100.96 Current number of equations to process: 3515
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1480
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1494] ifeq(A,A,truth,B) <-> not(truth) big_V not(not(truth))
% 100.73/100.96 Current number of equations to process: 3515
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1481
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1495] ifeq(A,A,implies(truth,B),C) <-> implies(not(B),not(truth)) big_V B
% 100.73/100.96 Current number of equations to process: 3552
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1482
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1496] implies(not(B),not(truth)) big_V B <-> ifeq(A,A,implies(truth,B),C)
% 100.73/100.96 Current number of equations to process: 3552
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1483
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1497] implies(truth,truth) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3767
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1484
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1498] implies(ifeq2(A,A,B,C),B) <-> implies(truth,truth) big_V B
% 100.73/100.96 Current number of equations to process: 3767
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1485
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1499] implies(ifeq2(A,A,B,C),B) <-> ifeq(X,X,truth,Y) big_V B
% 100.73/100.96 Current number of equations to process: 3808
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1486
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1500] ifeq(X,X,truth,Y) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3808
% 100.73/100.96 Current number of ordered equations: 0
% 100.73/100.96 Current number of rules: 1487
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1501] implies(ifeq2(A,A,B,C),B) <-> ifeq2(X,X,truth,Y) big_V B
% 100.73/100.96 Current number of equations to process: 3807
% 100.73/100.96 Current number of ordered equations: 1
% 100.73/100.96 Current number of rules: 1488
% 100.73/100.96 New rule produced :
% 100.73/100.96 [1502] ifeq2(X,X,truth,Y) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 100.73/100.96 Current number of equations to process: 3807
% 100.73/100.96 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1489
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1503] implies(ifeq2(A,A,truth,B),C) <-> implies(not(C),not(truth)) big_V C
% 123.10/123.31 Current number of equations to process: 3806
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1490
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1504] implies(not(C),not(truth)) big_V C <-> implies(ifeq2(A,A,truth,B),C)
% 123.10/123.31 Current number of equations to process: 3806
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1491
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1505] not(truth) big_V not(not(truth)) <-> ifeq2(A,A,truth,B)
% 123.10/123.31 Current number of equations to process: 3848
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1492
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1506] ifeq2(A,A,truth,B) <-> not(truth) big_V not(not(truth))
% 123.10/123.31 Current number of equations to process: 3848
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1493
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1507] implies(not(B),not(truth)) big_V B <-> ifeq2(A,A,implies(truth,B),C)
% 123.10/123.31 Current number of equations to process: 3899
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1494
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1508] ifeq2(A,A,implies(truth,B),C) <-> implies(not(B),not(truth)) big_V B
% 123.10/123.31 Current number of equations to process: 3899
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1495
% 123.10/123.31 New rule produced : [1509] not(truth) <-> truth big_hat not(truth)
% 123.10/123.31 Current number of equations to process: 4125
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1496
% 123.10/123.31 New rule produced : [1510] truth big_hat not(truth) <-> not(truth)
% 123.10/123.31 Current number of equations to process: 4125
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1497
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1511]
% 123.10/123.31 ifeq2(A,truth,ordered(truth,implies(truth,A)),true) <-> implies(truth,true)
% 123.10/123.31 Current number of equations to process: 4460
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1498
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1512]
% 123.10/123.31 implies(truth,true) <-> ifeq2(A,truth,ordered(truth,implies(truth,A)),true)
% 123.10/123.31 Current number of equations to process: 4460
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1499
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1513]
% 123.10/123.31 implies(truth,true) <-> ifeq2(A,truth,ordered(implies(truth,truth),A),true)
% 123.10/123.31 Current number of equations to process: 4459
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1500
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1514]
% 123.10/123.31 ifeq2(A,truth,ordered(implies(truth,truth),A),true) <-> implies(truth,true)
% 123.10/123.31 Current number of equations to process: 4459
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1501
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1515]
% 123.10/123.31 implies(truth,truth) <-> ifeq(ordered(truth,implies(truth,A)),true,A,truth)
% 123.10/123.31 Current number of equations to process: 4704
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1502
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1516]
% 123.10/123.31 ifeq(ordered(truth,implies(truth,A)),true,A,truth) <-> implies(truth,truth)
% 123.10/123.31 Current number of equations to process: 4704
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1503
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1517]
% 123.10/123.31 implies(truth,truth) <-> ifeq(ordered(implies(truth,truth),A),true,A,truth)
% 123.10/123.31 Current number of equations to process: 4703
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1504
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1518]
% 123.10/123.31 ifeq(ordered(implies(truth,truth),A),true,A,truth) <-> implies(truth,truth)
% 123.10/123.31 Current number of equations to process: 4703
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1505
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1519] truth <-> implies(implies(A,not(not(A))),implies(truth,truth))
% 123.10/123.31 Current number of equations to process: 4912
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1506
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1520] implies(implies(A,not(not(A))),implies(truth,truth)) <-> truth
% 123.10/123.31 Current number of equations to process: 4912
% 123.10/123.31 Current number of ordered equations: 0
% 123.10/123.31 Current number of rules: 1507
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1521] truth <-> implies(implies(implies(A,A),truth),truth)
% 123.10/123.31 Current number of equations to process: 1050
% 123.10/123.31 Current number of ordered equations: 1
% 123.10/123.31 Current number of rules: 1508
% 123.10/123.31 New rule produced :
% 123.10/123.31 [1522] implies(implies(implies(A,A),truth),truth) <-> truth
% 123.10/123.31 Current number of equations to process: 1050
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1509
% 126.71/126.97 New rule produced : [1523] truth <-> implies(implies(A,A) big_V A,truth)
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 5
% 126.71/126.97 Current number of rules: 1510
% 126.71/126.97 New rule produced : [1524] truth <-> truth big_V implies(implies(truth,A),A)
% 126.71/126.97 Rule [217] truth <-> truth big_V implies(implies(truth,truth),truth)
% 126.71/126.97 collapsed.
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 4
% 126.71/126.97 Current number of rules: 1510
% 126.71/126.97 New rule produced : [1525] truth <-> implies(implies(A big_V B,A),truth)
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 3
% 126.71/126.97 Current number of rules: 1511
% 126.71/126.97 New rule produced : [1526] implies(implies(A,A) big_V A,truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 2
% 126.71/126.97 Current number of rules: 1512
% 126.71/126.97 New rule produced : [1527] truth big_V implies(implies(truth,A),A) <-> truth
% 126.71/126.97 Rule [219] truth big_V implies(implies(truth,truth),truth) <-> truth
% 126.71/126.97 collapsed.
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1512
% 126.71/126.97 New rule produced : [1528] implies(implies(A big_V B,A),truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1052
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1513
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1529] truth <-> implies(implies(truth,implies(implies(truth,A),A)),truth)
% 126.71/126.97 Current number of equations to process: 1062
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1514
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1530] implies(implies(truth,implies(implies(truth,A),A)),truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1062
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1515
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1531] truth <-> implies(implies(implies(truth big_V A,A),A),truth)
% 126.71/126.97 Current number of equations to process: 1061
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1516
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1532] implies(implies(implies(truth big_V A,A),A),truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1061
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1517
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1533] truth <-> implies(implies(implies(implies(A,B),B),B),truth)
% 126.71/126.97 Current number of equations to process: 1060
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1518
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1534] implies(implies(implies(implies(A,B),B),B),truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1060
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1519
% 126.71/126.97 New rule produced : [1535] truth <-> implies(implies(implies(A,A),A),truth)
% 126.71/126.97 Current number of equations to process: 1088
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1520
% 126.71/126.97 New rule produced : [1536] implies(implies(implies(A,A),A),truth) <-> truth
% 126.71/126.97 Current number of equations to process: 1088
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1521
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1537] truth big_V implies(implies(truth,A),A) <-> implies(truth,truth)
% 126.71/126.97 Current number of equations to process: 1141
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1522
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1538] implies(truth,truth) <-> truth big_V implies(implies(truth,A),A)
% 126.71/126.97 Current number of equations to process: 1141
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1523
% 126.71/126.97 New rule produced : [1539] truth <-> implies(implies(A,B) big_V B,truth)
% 126.71/126.97 Rule [1523] truth <-> implies(implies(A,A) big_V A,truth) collapsed.
% 126.71/126.97 Current number of equations to process: 1197
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1523
% 126.71/126.97 New rule produced : [1540] implies(implies(A,B) big_V B,truth) <-> truth
% 126.71/126.97 Rule [1526] implies(implies(A,A) big_V A,truth) <-> truth collapsed.
% 126.71/126.97 Current number of equations to process: 1197
% 126.71/126.97 Current number of ordered equations: 0
% 126.71/126.97 Current number of rules: 1523
% 126.71/126.97 New rule produced :
% 126.71/126.97 [1541] truth <-> implies(implies(implies(A,implies(truth,A)),truth),truth)
% 126.71/126.97 Current number of equations to process: 1199
% 126.71/126.97 Current number of ordered equations: 1
% 126.71/126.97 Current number of rules: 1524
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1542] implies(implies(implies(A,implies(truth,A)),truth),truth) <-> truth
% 133.31/133.58 Current number of equations to process: 1199
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1525
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1543] truth <-> implies(implies(implies(A,A),implies(truth,truth)),truth)
% 133.31/133.58 Current number of equations to process: 1198
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1526
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1544] implies(implies(implies(A,A),implies(truth,truth)),truth) <-> truth
% 133.31/133.58 Current number of equations to process: 1198
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1527
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1545] truth <-> implies(implies(implies(truth,A big_V B),A),truth)
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 5
% 133.31/133.58 Current number of rules: 1528
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1546] truth <-> implies(truth,truth big_V implies(implies(truth,A),A))
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 4
% 133.31/133.58 Current number of rules: 1529
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1547] truth <-> implies(implies(truth,implies(A,A) big_V A),truth)
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 3
% 133.31/133.58 Current number of rules: 1530
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1548] implies(implies(implies(truth,A big_V B),A),truth) <-> truth
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 2
% 133.31/133.58 Current number of rules: 1531
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1549] implies(truth,truth big_V implies(implies(truth,A),A)) <-> truth
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1532
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1550] implies(implies(truth,implies(A,A) big_V A),truth) <-> truth
% 133.31/133.58 Current number of equations to process: 1195
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1533
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1551] truth big_V implies(implies(truth,C),C) <-> ifeq(A,A,truth,B)
% 133.31/133.58 Current number of equations to process: 1198
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1534
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1552] ifeq(A,A,truth,B) <-> truth big_V implies(implies(truth,C),C)
% 133.31/133.58 Current number of equations to process: 1198
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1535
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1553] truth big_V implies(implies(truth,C),C) <-> ifeq2(A,A,truth,B)
% 133.31/133.58 Current number of equations to process: 1201
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1536
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1554] ifeq2(A,A,truth,B) <-> truth big_V implies(implies(truth,C),C)
% 133.31/133.58 Current number of equations to process: 1201
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1537
% 133.31/133.58 New rule produced : [1555] truth <-> implies(A,implies(implies(A,B),B))
% 133.31/133.58 Current number of equations to process: 1584
% 133.31/133.58 Current number of ordered equations: 3
% 133.31/133.58 Current number of rules: 1538
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1556] truth <-> implies(truth,implies(A,implies(truth,A)))
% 133.31/133.58 Current number of equations to process: 1584
% 133.31/133.58 Current number of ordered equations: 2
% 133.31/133.58 Current number of rules: 1539
% 133.31/133.58 New rule produced : [1557] implies(A,implies(implies(A,B),B)) <-> truth
% 133.31/133.58 Current number of equations to process: 1584
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1540
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1558] implies(truth,implies(A,implies(truth,A))) <-> truth
% 133.31/133.58 Current number of equations to process: 1584
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1541
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1559] truth <-> implies(truth,truth big_V implies(truth,A))
% 133.31/133.58 Rule [263] truth <-> implies(truth,truth big_V implies(truth,truth))
% 133.31/133.58 collapsed.
% 133.31/133.58 Current number of equations to process: 1583
% 133.31/133.58 Current number of ordered equations: 1
% 133.31/133.58 Current number of rules: 1541
% 133.31/133.58 New rule produced :
% 133.31/133.58 [1560] implies(truth,truth big_V implies(truth,A)) <-> truth
% 133.31/133.58 Rule [264] implies(truth,truth big_V implies(truth,truth)) <-> truth
% 133.31/133.58 collapsed.
% 133.31/133.58 Current number of equations to process: 1583
% 133.31/133.58 Current number of ordered equations: 0
% 133.31/133.58 Current number of rules: 1541
% 133.31/133.58 New rule produced : [1561] truth <-> implies(not(not(truth)),truth)
% 133.31/133.58 Current number of equations to process: 1592
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1542
% 137.91/138.14 New rule produced : [1562] implies(not(not(truth)),truth) <-> truth
% 137.91/138.14 Current number of equations to process: 1592
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1543
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1563] truth <-> implies(A,implies(implies(A,truth),truth big_V truth))
% 137.91/138.14 Current number of equations to process: 1591
% 137.91/138.14 Current number of ordered equations: 3
% 137.91/138.14 Current number of rules: 1544
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1564] truth <-> implies(A,implies(truth big_V A,implies(truth,A)))
% 137.91/138.14 Current number of equations to process: 1591
% 137.91/138.14 Current number of ordered equations: 2
% 137.91/138.14 Current number of rules: 1545
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1565] implies(A,implies(implies(A,truth),truth big_V truth)) <-> truth
% 137.91/138.14 Current number of equations to process: 1591
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1546
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1566] implies(A,implies(truth big_V A,implies(truth,A))) <-> truth
% 137.91/138.14 Current number of equations to process: 1591
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1547
% 137.91/138.14 New rule produced : [1567] truth <-> truth big_V implies(truth,A)
% 137.91/138.14 Rule [179] truth <-> truth big_V implies(truth,truth) collapsed.
% 137.91/138.14 Rule [205] truth <-> truth big_V implies(truth,implies(truth,truth))
% 137.91/138.14 collapsed.
% 137.91/138.14 Rule [647] truth <-> truth big_V implies(truth,ifeq(A,A,truth,B)) collapsed.
% 137.91/138.14 Rule [656] truth <-> truth big_V implies(truth,ifeq2(A,A,truth,B)) collapsed.
% 137.91/138.14 Current number of equations to process: 1623
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1544
% 137.91/138.14 New rule produced : [1568] truth big_V implies(truth,A) <-> truth
% 137.91/138.14 Rule [181] truth big_V implies(truth,truth) <-> truth collapsed.
% 137.91/138.14 Rule [207] truth big_V implies(truth,implies(truth,truth)) <-> truth
% 137.91/138.14 collapsed.
% 137.91/138.14 Rule [649] truth big_V implies(truth,ifeq(A,A,truth,B)) <-> truth collapsed.
% 137.91/138.14 Rule [658] truth big_V implies(truth,ifeq2(A,A,truth,B)) <-> truth collapsed.
% 137.91/138.14 Current number of equations to process: 1623
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1541
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1569] truth <-> implies(not(implies(truth,not(truth))),truth)
% 137.91/138.14 Current number of equations to process: 1688
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1542
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1570] implies(not(implies(truth,not(truth))),truth) <-> truth
% 137.91/138.14 Current number of equations to process: 1688
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1543
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1571] implies(truth,truth) <-> implies(implies(truth,A),implies(truth,A))
% 137.91/138.14 Current number of equations to process: 1687
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1544
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1572] implies(implies(truth,A),implies(truth,A)) <-> implies(truth,truth)
% 137.91/138.14 Current number of equations to process: 1687
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1545
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1573] (eq)(implies(implies(truth,A),implies(truth,A)),truth) -> (true)
% 137.91/138.14 Current number of equations to process: 1759
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1546
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1574] truth <-> implies(A,implies(implies(A,implies(truth,B)),B))
% 137.91/138.14 Current number of equations to process: 1757
% 137.91/138.14 Current number of ordered equations: 3
% 137.91/138.14 Current number of rules: 1547
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1575] truth <-> implies(truth,implies(A,implies(truth,implies(truth,A))))
% 137.91/138.14 Current number of equations to process: 1757
% 137.91/138.14 Current number of ordered equations: 2
% 137.91/138.14 Current number of rules: 1548
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1576] implies(A,implies(implies(A,implies(truth,B)),B)) <-> truth
% 137.91/138.14 Current number of equations to process: 1757
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1549
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1577] implies(truth,implies(A,implies(truth,implies(truth,A)))) <-> truth
% 137.91/138.14 Current number of equations to process: 1757
% 137.91/138.14 Current number of ordered equations: 0
% 137.91/138.14 Current number of rules: 1550
% 137.91/138.14 New rule produced :
% 137.91/138.14 [1578] truth <-> implies(implies(implies(truth,truth),A),implies(truth,A))
% 137.91/138.14 Current number of equations to process: 1756
% 137.91/138.14 Current number of ordered equations: 1
% 137.91/138.14 Current number of rules: 1551
% 137.91/138.14 New rule produced :
% 139.61/139.89 [1579] implies(implies(implies(truth,truth),A),implies(truth,A)) <-> truth
% 139.61/139.89 Current number of equations to process: 1756
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1552
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1580] truth <-> implies(truth,implies(truth,truth) big_V implies(truth,A))
% 139.61/139.89 Current number of equations to process: 1755
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1553
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1581] implies(truth,implies(truth,truth) big_V implies(truth,A)) <-> truth
% 139.61/139.89 Current number of equations to process: 1755
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1554
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1582] truth <-> implies(truth,implies(truth,truth big_V implies(truth,A)))
% 139.61/139.89 Current number of equations to process: 1754
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1555
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1583] implies(truth,implies(truth,truth big_V implies(truth,A))) <-> truth
% 139.61/139.89 Current number of equations to process: 1754
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1556
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1584]
% 139.61/139.89 truth <-> implies(truth,implies(implies(implies(truth,A),truth),truth))
% 139.61/139.89 Current number of equations to process: 1753
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1557
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1585]
% 139.61/139.89 implies(truth,implies(implies(implies(truth,A),truth),truth)) <-> truth
% 139.61/139.89 Current number of equations to process: 1753
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1558
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1586] implies(implies(truth,C),implies(truth,C)) <-> ifeq(A,A,truth,B)
% 139.61/139.89 Current number of equations to process: 1752
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1559
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1587] ifeq(A,A,truth,B) <-> implies(implies(truth,C),implies(truth,C))
% 139.61/139.89 Current number of equations to process: 1752
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1560
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1588] implies(implies(truth,C),implies(truth,C)) <-> ifeq2(A,A,truth,B)
% 139.61/139.89 Current number of equations to process: 1751
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1561
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1589] ifeq2(A,A,truth,B) <-> implies(implies(truth,C),implies(truth,C))
% 139.61/139.89 Current number of equations to process: 1751
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1562
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1590]
% 139.61/139.89 implies(truth,A) big_V implies(truth,A) <-> implies(truth,implies(truth,A))
% 139.61/139.89 Current number of equations to process: 1750
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1563
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1591]
% 139.61/139.89 implies(truth,implies(truth,A)) <-> implies(truth,A) big_V implies(truth,A)
% 139.61/139.89 Current number of equations to process: 1750
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1564
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1592] truth <-> implies(not(not(truth)),implies(truth,truth))
% 139.61/139.89 Current number of equations to process: 1766
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1565
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1593] implies(not(not(truth)),implies(truth,truth)) <-> truth
% 139.61/139.89 Current number of equations to process: 1766
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1566
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1594] truth <-> implies(implies(truth,truth),implies(A,A))
% 139.61/139.89 Current number of equations to process: 1790
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1567
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1595] implies(implies(truth,truth),implies(A,A)) <-> truth
% 139.61/139.89 Current number of equations to process: 1790
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1568
% 139.61/139.89 New rule produced : [1596] truth <-> implies(implies(truth,A),A big_V B)
% 139.61/139.89 Rule [218] truth <-> implies(implies(truth,truth),truth big_V truth)
% 139.61/139.89 collapsed.
% 139.61/139.89 Current number of equations to process: 1792
% 139.61/139.89 Current number of ordered equations: 1
% 139.61/139.89 Current number of rules: 1568
% 139.61/139.89 New rule produced : [1597] implies(implies(truth,A),A big_V B) <-> truth
% 139.61/139.89 Rule [220] implies(implies(truth,truth),truth big_V truth) <-> truth
% 139.61/139.89 collapsed.
% 139.61/139.89 Current number of equations to process: 1792
% 139.61/139.89 Current number of ordered equations: 0
% 139.61/139.89 Current number of rules: 1568
% 139.61/139.89 New rule produced :
% 139.61/139.89 [1598] truth <-> implies(implies(truth,A),implies(truth big_V A,A))
% 144.51/144.77 Current number of equations to process: 1799
% 144.51/144.77 Current number of ordered equations: 3
% 144.51/144.77 Current number of rules: 1569
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1599] truth <-> implies(truth big_V truth,implies(implies(truth,A),A))
% 144.51/144.77 Current number of equations to process: 1799
% 144.51/144.77 Current number of ordered equations: 2
% 144.51/144.77 Current number of rules: 1570
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1600] implies(implies(truth,A),implies(truth big_V A,A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1799
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1571
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1601] implies(truth big_V truth,implies(implies(truth,A),A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1799
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1572
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1602] truth <-> implies(implies(truth,A),implies(implies(B,A),A))
% 144.51/144.77 Current number of equations to process: 1798
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1573
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1603] implies(implies(truth,A),implies(implies(B,A),A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1798
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1574
% 144.51/144.77 New rule produced : [1604] truth <-> implies(implies(truth,A),A)
% 144.51/144.77 Current number of equations to process: 1816
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1575
% 144.51/144.77 New rule produced : [1605] implies(implies(truth,A),A) <-> truth
% 144.51/144.77 Current number of equations to process: 1816
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1576
% 144.51/144.77 New rule produced : [1606] truth <-> implies(implies(truth,A),implies(A,A))
% 144.51/144.77 Current number of equations to process: 1831
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1577
% 144.51/144.77 New rule produced : [1607] implies(implies(truth,A),implies(A,A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1831
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1578
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1608] truth <-> implies(A,implies(implies(implies(truth,A),B),B))
% 144.51/144.77 Current number of equations to process: 1942
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1579
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1609] implies(A,implies(implies(implies(truth,A),B),B)) <-> truth
% 144.51/144.77 Current number of equations to process: 1942
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1580
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1610] truth <-> implies(implies(truth,implies(truth,truth)),implies(A,A))
% 144.51/144.77 Current number of equations to process: 1941
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1581
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1611] implies(implies(truth,implies(truth,truth)),implies(A,A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1941
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1582
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1612] (eq)(implies(implies(truth,A),A),implies(truth,truth)) -> (true)
% 144.51/144.77 Current number of equations to process: 1940
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1583
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1613] truth <-> implies(implies(truth,A),implies(truth,A big_V B))
% 144.51/144.77 Current number of equations to process: 1939
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1584
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1614] implies(implies(truth,A),implies(truth,A big_V B)) <-> truth
% 144.51/144.77 Current number of equations to process: 1939
% 144.51/144.77 Current number of ordered equations: 0
% 144.51/144.77 Current number of rules: 1585
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1615] truth <-> implies(implies(A,truth),implies(A,truth big_V A))
% 144.51/144.77 Current number of equations to process: 1992
% 144.51/144.77 Current number of ordered equations: 3
% 144.51/144.77 Current number of rules: 1586
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1616] truth <-> implies(truth big_V truth,implies(A,implies(truth,A)))
% 144.51/144.77 Current number of equations to process: 1992
% 144.51/144.77 Current number of ordered equations: 2
% 144.51/144.77 Current number of rules: 1587
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1617] implies(implies(A,truth),implies(A,truth big_V A)) <-> truth
% 144.51/144.77 Current number of equations to process: 1992
% 144.51/144.77 Current number of ordered equations: 1
% 144.51/144.77 Current number of rules: 1588
% 144.51/144.77 New rule produced :
% 144.51/144.77 [1618] implies(truth big_V truth,implies(A,implies(truth,A))) <-> truth
% 144.51/144.77 Current number of equations to process: 1992
% 144.51/144.77 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1589
% 156.41/156.61 New rule produced : [1619] truth <-> implies(A,implies(truth,A))
% 156.41/156.61 Current number of equations to process: 2011
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1590
% 156.41/156.61 New rule produced : [1620] implies(A,implies(truth,A)) <-> truth
% 156.41/156.61 Current number of equations to process: 2011
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1591
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1621] truth <-> implies(truth,implies(A,implies(implies(truth,truth),A)))
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 5
% 156.41/156.61 Current number of rules: 1592
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1622] truth <-> implies(implies(A,truth),implies(A,implies(truth,truth)))
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 4
% 156.41/156.61 Current number of rules: 1593
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1623] truth <-> implies(implies(implies(truth,truth),truth),implies(A,A))
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 3
% 156.41/156.61 Current number of rules: 1594
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1624] implies(truth,implies(A,implies(implies(truth,truth),A))) <-> truth
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 2
% 156.41/156.61 Current number of rules: 1595
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1625] implies(implies(A,truth),implies(A,implies(truth,truth))) <-> truth
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1596
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1626] implies(implies(implies(truth,truth),truth),implies(A,A)) <-> truth
% 156.41/156.61 Current number of equations to process: 2142
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1597
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1627] (eq)(implies(A,implies(truth,A)),implies(truth,truth)) -> (true)
% 156.41/156.61 Current number of equations to process: 2141
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1598
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1628] truth <-> implies(implies(implies(A,truth),truth),truth big_V A)
% 156.41/156.61 Current number of equations to process: 2140
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1599
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1629] implies(implies(implies(A,truth),truth),truth big_V A) <-> truth
% 156.41/156.61 Current number of equations to process: 2140
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1600
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1630] truth <-> implies(truth big_V A,truth big_V implies(A,B))
% 156.41/156.61 Current number of equations to process: 2319
% 156.41/156.61 Current number of ordered equations: 3
% 156.41/156.61 Current number of rules: 1601
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1631] truth <-> implies(implies(A,A),truth big_V (truth big_V A))
% 156.41/156.61 Current number of equations to process: 2319
% 156.41/156.61 Current number of ordered equations: 2
% 156.41/156.61 Current number of rules: 1602
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1632] implies(truth big_V A,truth big_V implies(A,B)) <-> truth
% 156.41/156.61 Current number of equations to process: 2319
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1603
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1633] implies(implies(A,A),truth big_V (truth big_V A)) <-> truth
% 156.41/156.61 Current number of equations to process: 2319
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1604
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1634] (eq)(truth big_V implies(truth,A),implies(truth,truth)) -> (true)
% 156.41/156.61 Current number of equations to process: 2450
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1605
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1635] truth <-> implies(implies(A,A),implies(truth big_V A,truth))
% 156.41/156.61 Current number of equations to process: 2449
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1606
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1636] implies(implies(A,A),implies(truth big_V A,truth)) <-> truth
% 156.41/156.61 Current number of equations to process: 2449
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1607
% 156.41/156.61 New rule produced : [1637] truth <-> implies(implies(A,A),truth big_V truth)
% 156.41/156.61 Current number of equations to process: 2476
% 156.41/156.61 Current number of ordered equations: 1
% 156.41/156.61 Current number of rules: 1608
% 156.41/156.61 New rule produced : [1638] implies(implies(A,A),truth big_V truth) <-> truth
% 156.41/156.61 Current number of equations to process: 2476
% 156.41/156.61 Current number of ordered equations: 0
% 156.41/156.61 Current number of rules: 1609
% 156.41/156.61 New rule produced :
% 156.41/156.61 [1639] implies(implies(A,not(not(A))),truth) <-> implies(truth,truth)
% 171.12/171.39 Current number of equations to process: 2490
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1610
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1640] implies(truth,truth) <-> implies(implies(A,not(not(A))),truth)
% 171.12/171.39 Current number of equations to process: 2490
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1611
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1641] implies(implies(A,not(not(A))),truth) <-> truth big_V truth
% 171.12/171.39 Current number of equations to process: 2585
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1612
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1642] truth big_V truth <-> implies(implies(A,not(not(A))),truth)
% 171.12/171.39 Current number of equations to process: 2585
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1613
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1643] truth big_V implies(A,not(not(A))) <-> implies(truth,truth)
% 171.12/171.39 Current number of equations to process: 2623
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1614
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1644] implies(truth,truth) <-> truth big_V implies(A,not(not(A)))
% 171.12/171.39 Current number of equations to process: 2623
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1615
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1645] truth <-> implies(not(not(implies(truth,truth))),truth)
% 171.12/171.39 Current number of equations to process: 2677
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1616
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1646] implies(not(not(implies(truth,truth))),truth) <-> truth
% 171.12/171.39 Current number of equations to process: 2677
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1617
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1647] truth <-> truth big_V implies(truth big_V truth,truth)
% 171.12/171.39 Current number of equations to process: 3059
% 171.12/171.39 Current number of ordered equations: 3
% 171.12/171.39 Current number of rules: 1618
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1648] truth <-> implies(truth big_V truth,truth big_V truth)
% 171.12/171.39 Current number of equations to process: 3059
% 171.12/171.39 Current number of ordered equations: 2
% 171.12/171.39 Current number of rules: 1619
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1649] truth big_V implies(truth big_V truth,truth) <-> truth
% 171.12/171.39 Current number of equations to process: 3059
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1620
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1650] implies(truth big_V truth,truth big_V truth) <-> truth
% 171.12/171.39 Current number of equations to process: 3059
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1621
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1651] implies(truth,implies(truth,A)) <-> implies(truth big_V truth,A)
% 171.12/171.39 Current number of equations to process: 3058
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1622
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1652] implies(truth big_V truth,A) <-> implies(truth,implies(truth,A))
% 171.12/171.39 Current number of equations to process: 3058
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1623
% 171.12/171.39 New rule produced : [1653] A <-> implies(truth big_V (truth big_V truth),A)
% 171.12/171.39 Current number of equations to process: 3223
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1624
% 171.12/171.39 New rule produced : [1654] implies(truth big_V (truth big_V truth),A) <-> A
% 171.12/171.39 Current number of equations to process: 3223
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1625
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1655] truth big_V (truth big_V truth) <-> implies(truth,truth big_V truth)
% 171.12/171.39 Current number of equations to process: 3222
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1626
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1656] implies(truth,truth big_V truth) <-> truth big_V (truth big_V truth)
% 171.12/171.39 Current number of equations to process: 3222
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1627
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1657] implies(implies(truth,A),A) <-> (truth big_V truth) big_V A
% 171.12/171.39 Current number of equations to process: 3221
% 171.12/171.39 Current number of ordered equations: 1
% 171.12/171.39 Current number of rules: 1628
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1658] (truth big_V truth) big_V A <-> implies(implies(truth,A),A)
% 171.12/171.39 Current number of equations to process: 3221
% 171.12/171.39 Current number of ordered equations: 0
% 171.12/171.39 Current number of rules: 1629
% 171.12/171.39 New rule produced :
% 171.12/171.39 [1659] truth <-> implies(not(not(truth big_V truth)),truth)
% 171.12/171.39 Current number of equations to process: 3247
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1630
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1660] implies(not(not(truth big_V truth)),truth) <-> truth
% 173.72/173.92 Current number of equations to process: 3247
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1631
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1661] truth big_V truth <-> (truth big_V truth) big_V implies(truth,truth)
% 173.72/173.92 Current number of equations to process: 3249
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1632
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1662] (truth big_V truth) big_V implies(truth,truth) <-> truth big_V truth
% 173.72/173.92 Current number of equations to process: 3249
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1633
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1663] truth big_V truth <-> implies(truth,truth big_V (truth big_V truth))
% 173.72/173.92 Current number of equations to process: 3248
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1634
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1664] implies(truth,truth big_V (truth big_V truth)) <-> truth big_V truth
% 173.72/173.92 Current number of equations to process: 3248
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1635
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1665] (eq)(truth,truth big_V (truth big_V truth)) -> (true)
% 173.72/173.92 Current number of equations to process: 3288
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1636
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1666] truth <-> implies(truth,truth big_V (truth big_V truth))
% 173.72/173.92 Current number of equations to process: 3287
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1637
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1667] implies(truth,truth big_V (truth big_V truth)) <-> truth
% 173.72/173.92 Current number of equations to process: 3287
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1638
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1668] implies(truth,truth big_V A) <-> (truth big_V truth) big_V A
% 173.72/173.92 Rule
% 173.72/173.92 [1656] implies(truth,truth big_V truth) <-> truth big_V (truth big_V truth)
% 173.72/173.92 collapsed.
% 173.72/173.92 Current number of equations to process: 3286
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1638
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1669] (truth big_V truth) big_V A <-> implies(truth,truth big_V A)
% 173.72/173.92 Rule
% 173.72/173.92 [1655] truth big_V (truth big_V truth) <-> implies(truth,truth big_V truth)
% 173.72/173.92 collapsed.
% 173.72/173.92 Current number of equations to process: 3286
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1638
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1670] truth big_V (truth big_V truth) <-> ifeq(A,A,truth,B)
% 173.72/173.92 Current number of equations to process: 3285
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1639
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1671] ifeq(A,A,truth,B) <-> truth big_V (truth big_V truth)
% 173.72/173.92 Current number of equations to process: 3285
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1640
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1672] truth big_V (truth big_V truth) <-> ifeq2(A,A,truth,B)
% 173.72/173.92 Current number of equations to process: 3284
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1641
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1673] ifeq2(A,A,truth,B) <-> truth big_V (truth big_V truth)
% 173.72/173.92 Current number of equations to process: 3284
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1642
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1674] implies(implies(A,truth),truth) <-> (truth big_V truth) big_V A
% 173.72/173.92 Current number of equations to process: 3283
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1643
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1675] (truth big_V truth) big_V A <-> implies(implies(A,truth),truth)
% 173.72/173.92 Current number of equations to process: 3283
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1644
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1676]
% 173.72/173.92 implies(truth,truth) <-> (truth big_V truth) big_V implies(truth,truth)
% 173.72/173.92 Current number of equations to process: 3327
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1645
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1677]
% 173.72/173.92 (truth big_V truth) big_V implies(truth,truth) <-> implies(truth,truth)
% 173.72/173.92 Current number of equations to process: 3327
% 173.72/173.92 Current number of ordered equations: 0
% 173.72/173.92 Current number of rules: 1646
% 173.72/173.92 New rule produced :
% 173.72/173.92 [1678] (truth big_V (truth big_V truth)) big_V A <-> implies(A,A)
% 173.72/173.92 Current number of equations to process: 3326
% 173.72/173.92 Current number of ordered equations: 1
% 173.72/173.92 Current number of rules: 1647
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1679] implies(A,A) <-> (truth big_V (truth big_V truth)) big_V A
% 187.32/187.52 Current number of equations to process: 3326
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1648
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1680] truth big_V A <-> implies(truth,(truth big_V truth) big_V A)
% 187.32/187.52 Rule
% 187.32/187.52 [1663] truth big_V truth <-> implies(truth,truth big_V (truth big_V truth))
% 187.32/187.52 collapsed.
% 187.32/187.52 Current number of equations to process: 3325
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1648
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1681] implies(truth,(truth big_V truth) big_V A) <-> truth big_V A
% 187.32/187.52 Rule
% 187.32/187.52 [1664] implies(truth,truth big_V (truth big_V truth)) <-> truth big_V truth
% 187.32/187.52 collapsed.
% 187.32/187.52 Current number of equations to process: 3325
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1648
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1682] truth <-> implies((truth big_V truth) big_V not(truth),truth)
% 187.32/187.52 Current number of equations to process: 3324
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1649
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1683] implies((truth big_V truth) big_V not(truth),truth) <-> truth
% 187.32/187.52 Current number of equations to process: 3324
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1650
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1684] truth big_V truth <-> (truth big_V truth) big_V (truth big_V truth)
% 187.32/187.52 Current number of equations to process: 3323
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1651
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1685] (truth big_V truth) big_V (truth big_V truth) <-> truth big_V truth
% 187.32/187.52 Current number of equations to process: 3323
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1652
% 187.32/187.52 New rule produced : [1686] (eq)(truth big_V truth,truth) -> (true)
% 187.32/187.52 Current number of equations to process: 3706
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1653
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1687] B <-> implies(implies(implies(A,not(not(A))),truth),B)
% 187.32/187.52 Current number of equations to process: 3816
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1654
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1688] implies(implies(implies(A,not(not(A))),truth),B) <-> B
% 187.32/187.52 Current number of equations to process: 3816
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1655
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1689] ifeq(A,A,truth,B) <-> implies(implies(C,not(not(C))),truth)
% 187.32/187.52 Current number of equations to process: 3815
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1656
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1690] implies(implies(C,not(not(C))),truth) <-> ifeq(A,A,truth,B)
% 187.32/187.52 Current number of equations to process: 3815
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1657
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1691] ifeq2(A,A,truth,B) <-> implies(implies(C,not(not(C))),truth)
% 187.32/187.52 Current number of equations to process: 3814
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1658
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1692] implies(implies(C,not(not(C))),truth) <-> ifeq2(A,A,truth,B)
% 187.32/187.52 Current number of equations to process: 3814
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1659
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1693] truth <-> truth big_V implies(implies(A,not(not(A))),truth)
% 187.32/187.52 Current number of equations to process: 3813
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1660
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1694] truth big_V implies(implies(A,not(not(A))),truth) <-> truth
% 187.32/187.52 Current number of equations to process: 3813
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1661
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1695]
% 187.32/187.52 implies(implies(A,not(not(A))),truth) <-> implies(truth,implies(truth,truth))
% 187.32/187.52 Current number of equations to process: 3812
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1662
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1696]
% 187.32/187.52 implies(truth,implies(truth,truth)) <-> implies(implies(A,not(not(A))),truth)
% 187.32/187.52 Current number of equations to process: 3812
% 187.32/187.52 Current number of ordered equations: 0
% 187.32/187.52 Current number of rules: 1663
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1697]
% 187.32/187.52 implies(implies(A,not(not(A))),truth) <-> implies(implies(truth,truth),truth)
% 187.32/187.52 Current number of equations to process: 3811
% 187.32/187.52 Current number of ordered equations: 1
% 187.32/187.52 Current number of rules: 1664
% 187.32/187.52 New rule produced :
% 187.32/187.52 [1698]
% 187.32/187.52 implies(implies(truth,truth),truth) <-> implies(implies(A,not(not(A))),truth)
% 188.11/188.38 Current number of equations to process: 3811
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1665
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1699] truth <-> implies(implies(truth,implies(A,not(not(A)))),truth)
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 7
% 188.11/188.38 Current number of rules: 1666
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1700] truth <-> implies(implies(A,not(implies(truth,not(A)))),truth)
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 6
% 188.11/188.38 Current number of rules: 1667
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1701] truth <-> implies(implies(A,implies(truth,not(not(A)))),truth)
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 5
% 188.11/188.38 Current number of rules: 1668
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1702] truth <-> implies(truth,implies(implies(A,not(not(A))),truth))
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 4
% 188.11/188.38 Current number of rules: 1669
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1703] implies(implies(truth,implies(A,not(not(A)))),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 3
% 188.11/188.38 Current number of rules: 1670
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1704] implies(implies(A,not(implies(truth,not(A)))),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 2
% 188.11/188.38 Current number of rules: 1671
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1705] implies(implies(A,implies(truth,not(not(A)))),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1672
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1706] implies(truth,implies(implies(A,not(not(A))),truth)) <-> truth
% 188.11/188.38 Current number of equations to process: 3807
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1673
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1707] truth <-> implies(implies(A,not(not(A))),truth big_V truth)
% 188.11/188.38 Current number of equations to process: 3806
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1674
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1708] implies(implies(A,not(not(A))),truth big_V truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3806
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1675
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1709] truth <-> implies(ifeq(A,A,not(not(truth)),B),truth)
% 188.11/188.38 Current number of equations to process: 3805
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1676
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1710] implies(ifeq(A,A,not(not(truth)),B),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3805
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1677
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1711] truth <-> implies(ifeq2(A,A,not(not(truth)),B),truth)
% 188.11/188.38 Current number of equations to process: 3804
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1678
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1712] implies(ifeq2(A,A,not(not(truth)),B),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3804
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1679
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1713] truth <-> implies(not(not(ifeq(A,A,truth,B))),truth)
% 188.11/188.38 Current number of equations to process: 3803
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1680
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1714] implies(not(not(ifeq(A,A,truth,B))),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3803
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1681
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1715] truth <-> implies(not(not(ifeq2(A,A,truth,B))),truth)
% 188.11/188.38 Current number of equations to process: 3802
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1682
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1716] implies(not(not(ifeq2(A,A,truth,B))),truth) <-> truth
% 188.11/188.38 Current number of equations to process: 3802
% 188.11/188.38 Current number of ordered equations: 0
% 188.11/188.38 Current number of rules: 1683
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1717]
% 188.11/188.38 truth big_V implies(A,not(not(A))) <-> implies(truth,implies(truth,truth))
% 188.11/188.38 Current number of equations to process: 3801
% 188.11/188.38 Current number of ordered equations: 1
% 188.11/188.38 Current number of rules: 1684
% 188.11/188.38 New rule produced :
% 188.11/188.38 [1718]
% 188.11/188.38 implies(truth,implies(truth,truth)) <-> truth big_V implies(A,not(not(A)))
% 188.11/188.38 Current number of equations to process: 3801
% 189.12/189.37 Current number of ordered equations: 0
% 189.12/189.37 Current number of rules: 1685
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1719]
% 189.12/189.37 truth big_V implies(A,not(not(A))) <-> implies(implies(truth,truth),truth)
% 189.12/189.37 Current number of equations to process: 3800
% 189.12/189.37 Current number of ordered equations: 1
% 189.12/189.37 Current number of rules: 1686
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1720]
% 189.12/189.37 implies(implies(truth,truth),truth) <-> truth big_V implies(A,not(not(A)))
% 189.12/189.37 Current number of equations to process: 3800
% 189.12/189.37 Current number of ordered equations: 0
% 189.12/189.37 Current number of rules: 1687
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1721] (eq)(A,implies(implies(truth big_V truth,truth),A)) -> (true)
% 189.12/189.37 Current number of equations to process: 3799
% 189.12/189.37 Current number of ordered equations: 0
% 189.12/189.37 Current number of rules: 1688
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1722] A <-> implies(truth,implies(truth big_V truth,implies(truth,A)))
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 7
% 189.12/189.37 Current number of rules: 1689
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1723] A <-> implies(truth,implies(implies(truth big_V truth,truth),A))
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 6
% 189.12/189.37 Current number of rules: 1690
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1724] A <-> implies(truth big_V truth,implies(truth,implies(truth,A)))
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 5
% 189.12/189.37 Current number of rules: 1691
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1725] A <-> implies(implies(truth big_V truth,truth),implies(truth,A))
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 4
% 189.12/189.37 Current number of rules: 1692
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1726] implies(truth,implies(truth big_V truth,implies(truth,A))) <-> A
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 3
% 189.12/189.37 Current number of rules: 1693
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1727] implies(truth,implies(implies(truth big_V truth,truth),A)) <-> A
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 2
% 189.12/189.37 Current number of rules: 1694
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1728] implies(truth big_V truth,implies(truth,implies(truth,A))) <-> A
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 1
% 189.12/189.37 Current number of rules: 1695
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1729] implies(implies(truth big_V truth,truth),implies(truth,A)) <-> A
% 189.12/189.37 Current number of equations to process: 3795
% 189.12/189.37 Current number of ordered equations: 0
% 189.12/189.37 Current number of rules: 1696
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1730] A <-> implies(implies(truth big_V truth,implies(truth,truth)),A)
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 7
% 189.12/189.37 Current number of rules: 1697
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1731] A <-> implies(implies(implies(truth big_V truth,truth),truth),A)
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 6
% 189.12/189.37 Current number of rules: 1698
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1732] A <-> implies(truth big_V truth,implies(implies(truth,truth),A))
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 5
% 189.12/189.37 Current number of rules: 1699
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1733] A <-> implies(implies(truth,implies(truth big_V truth,truth)),A)
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 4
% 189.12/189.37 Current number of rules: 1700
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1734] implies(implies(truth big_V truth,implies(truth,truth)),A) <-> A
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 3
% 189.12/189.37 Current number of rules: 1701
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1735] implies(implies(implies(truth big_V truth,truth),truth),A) <-> A
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 2
% 189.12/189.37 Current number of rules: 1702
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1736] implies(truth big_V truth,implies(implies(truth,truth),A)) <-> A
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 1
% 189.12/189.37 Current number of rules: 1703
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1737] implies(implies(truth,implies(truth big_V truth,truth)),A) <-> A
% 189.12/189.37 Current number of equations to process: 3791
% 189.12/189.37 Current number of ordered equations: 0
% 189.12/189.37 Current number of rules: 1704
% 189.12/189.37 New rule produced :
% 189.12/189.37 [1738]
% 189.12/189.37 implies(truth,truth) big_V A <-> implies(truth big_V truth,implies(A,A))
% 189.71/189.95 Current number of equations to process: 3790
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1705
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1739]
% 189.71/189.95 implies(truth big_V truth,implies(A,A)) <-> implies(truth,truth) big_V A
% 189.71/189.95 Current number of equations to process: 3790
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1706
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1740]
% 189.71/189.95 implies(truth,truth big_V A) <-> implies(truth big_V truth,implies(A,A))
% 189.71/189.95 Current number of equations to process: 3789
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1707
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1741]
% 189.71/189.95 implies(truth big_V truth,implies(A,A)) <-> implies(truth,truth big_V A)
% 189.71/189.95 Current number of equations to process: 3789
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1708
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1742]
% 189.71/189.95 implies(truth,implies(A,A)) <-> implies(truth big_V truth,truth big_V A)
% 189.71/189.95 Current number of equations to process: 3787
% 189.71/189.95 Current number of ordered equations: 3
% 189.71/189.95 Current number of rules: 1709
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1743]
% 189.71/189.95 implies(truth,implies(A,A)) <-> implies(truth big_V truth,truth) big_V A
% 189.71/189.95 Current number of equations to process: 3787
% 189.71/189.95 Current number of ordered equations: 2
% 189.71/189.95 Current number of rules: 1710
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1744]
% 189.71/189.95 implies(truth big_V truth,truth big_V A) <-> implies(truth,implies(A,A))
% 189.71/189.95 Current number of equations to process: 3787
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1711
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1745]
% 189.71/189.95 implies(truth big_V truth,truth) big_V A <-> implies(truth,implies(A,A))
% 189.71/189.95 Current number of equations to process: 3787
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1712
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1746] implies(truth big_V truth,implies(truth,B)) <-> ifeq(A,A,B,C)
% 189.71/189.95 Current number of equations to process: 3785
% 189.71/189.95 Current number of ordered equations: 3
% 189.71/189.95 Current number of rules: 1713
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1747] implies(implies(truth big_V truth,truth),A) <-> ifeq(B,B,A,C)
% 189.71/189.95 Current number of equations to process: 3785
% 189.71/189.95 Current number of ordered equations: 2
% 189.71/189.95 Current number of rules: 1714
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1748] ifeq(A,A,B,C) <-> implies(truth big_V truth,implies(truth,B))
% 189.71/189.95 Current number of equations to process: 3785
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1715
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1749] ifeq(B,B,A,C) <-> implies(implies(truth big_V truth,truth),A)
% 189.71/189.95 Current number of equations to process: 3785
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1716
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1750] implies(truth big_V truth,implies(truth,B)) <-> ifeq2(A,A,B,C)
% 189.71/189.95 Current number of equations to process: 3783
% 189.71/189.95 Current number of ordered equations: 3
% 189.71/189.95 Current number of rules: 1717
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1751] implies(implies(truth big_V truth,truth),A) <-> ifeq2(B,B,A,C)
% 189.71/189.95 Current number of equations to process: 3783
% 189.71/189.95 Current number of ordered equations: 2
% 189.71/189.95 Current number of rules: 1718
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1752] ifeq2(A,A,B,C) <-> implies(truth big_V truth,implies(truth,B))
% 189.71/189.95 Current number of equations to process: 3783
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1719
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1753] ifeq2(B,B,A,C) <-> implies(implies(truth big_V truth,truth),A)
% 189.71/189.95 Current number of equations to process: 3783
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1720
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1754]
% 189.71/189.95 implies(implies(A,truth),truth) <-> implies(truth big_V truth,implies(A,A))
% 189.71/189.95 Current number of equations to process: 3782
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1721
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1755]
% 189.71/189.95 implies(truth big_V truth,implies(A,A)) <-> implies(implies(A,truth),truth)
% 189.71/189.95 Current number of equations to process: 3782
% 189.71/189.95 Current number of ordered equations: 0
% 189.71/189.95 Current number of rules: 1722
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1756] implies(truth big_V A,A) <-> implies(truth big_V truth,A big_V A)
% 189.71/189.95 Current number of equations to process: 3781
% 189.71/189.95 Current number of ordered equations: 1
% 189.71/189.95 Current number of rules: 1723
% 189.71/189.95 New rule produced :
% 189.71/189.95 [1757] implies(truth big_V truth,A big_V A) <-> implies(truth big_V A,A)
% 189.71/189.95 Current number of equations to process: 3781
% 189.71/189.95 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1724
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1758] implies(truth big_V truth,B) <-> ifeq(A,A,implies(truth,B),C)
% 190.51/190.77 Rule
% 190.51/190.77 [815] implies(truth big_V truth,truth) <-> ifeq(A,A,implies(truth,truth),B)
% 190.51/190.77 collapsed.
% 190.51/190.77 Current number of equations to process: 3780
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1724
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1759] ifeq(A,A,implies(truth,B),C) <-> implies(truth big_V truth,B)
% 190.51/190.77 Rule
% 190.51/190.77 [816] ifeq(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 190.51/190.77 collapsed.
% 190.51/190.77 Current number of equations to process: 3780
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1724
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1760] implies(truth big_V truth,B) <-> ifeq2(A,A,implies(truth,B),C)
% 190.51/190.77 Rule
% 190.51/190.77 [840] implies(truth big_V truth,truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 190.51/190.77 collapsed.
% 190.51/190.77 Current number of equations to process: 3779
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1724
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1761] ifeq2(A,A,implies(truth,B),C) <-> implies(truth big_V truth,B)
% 190.51/190.77 Rule
% 190.51/190.77 [841] ifeq2(A,A,implies(truth,truth),B) <-> implies(truth big_V truth,truth)
% 190.51/190.77 collapsed.
% 190.51/190.77 Current number of equations to process: 3779
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1724
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1762] implies(truth,ifeq(A,A,B,C)) <-> implies(truth big_V truth,B)
% 190.51/190.77 Current number of equations to process: 3778
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1725
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1763] implies(truth big_V truth,B) <-> implies(truth,ifeq(A,A,B,C))
% 190.51/190.77 Current number of equations to process: 3778
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1726
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1764] implies(truth,ifeq2(A,A,B,C)) <-> implies(truth big_V truth,B)
% 190.51/190.77 Current number of equations to process: 3777
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1727
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1765] implies(truth big_V truth,B) <-> implies(truth,ifeq2(A,A,B,C))
% 190.51/190.77 Current number of equations to process: 3777
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1728
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1766]
% 190.51/190.77 implies(truth big_V truth,truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 190.51/190.77 Current number of equations to process: 3776
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1729
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1767]
% 190.51/190.77 ifeq(ordered(truth,A),true,A,truth) <-> implies(truth big_V truth,truth)
% 190.51/190.77 Current number of equations to process: 3776
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1730
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1768]
% 190.51/190.77 implies(truth big_V truth,truth) <-> implies(implies(not(A),not(truth)),A)
% 190.51/190.77 Current number of equations to process: 3775
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1731
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1769]
% 190.51/190.77 implies(implies(not(A),not(truth)),A) <-> implies(truth big_V truth,truth)
% 190.51/190.77 Current number of equations to process: 3775
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1732
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1770]
% 190.51/190.77 implies(truth big_V truth,true) <-> ifeq2(A,truth,ordered(truth,A),true)
% 190.51/190.77 Current number of equations to process: 3774
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1733
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1771]
% 190.51/190.77 ifeq2(A,truth,ordered(truth,A),true) <-> implies(truth big_V truth,true)
% 190.51/190.77 Current number of equations to process: 3774
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1734
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1772]
% 190.51/190.77 implies(implies(A,not(not(A))),truth) <-> implies(truth big_V truth,truth)
% 190.51/190.77 Current number of equations to process: 3773
% 190.51/190.77 Current number of ordered equations: 1
% 190.51/190.77 Current number of rules: 1735
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1773]
% 190.51/190.77 implies(truth big_V truth,truth) <-> implies(implies(A,not(not(A))),truth)
% 190.51/190.77 Current number of equations to process: 3773
% 190.51/190.77 Current number of ordered equations: 0
% 190.51/190.77 Current number of rules: 1736
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1774] A <-> implies(truth,implies(truth,implies(truth big_V truth,A)))
% 190.51/190.77 Current number of equations to process: 3770
% 190.51/190.77 Current number of ordered equations: 5
% 190.51/190.77 Current number of rules: 1737
% 190.51/190.77 New rule produced :
% 190.51/190.77 [1775] A <-> implies(implies(truth,implies(truth,truth big_V truth)),A)
% 190.51/190.77 Current number of equations to process: 3770
% 191.31/191.53 Current number of ordered equations: 4
% 191.31/191.53 Current number of rules: 1738
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1776] A <-> implies(truth big_V implies(truth,implies(truth,truth)),A)
% 191.31/191.53 Current number of equations to process: 3770
% 191.31/191.53 Current number of ordered equations: 3
% 191.31/191.53 Current number of rules: 1739
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1777] implies(truth,implies(truth,implies(truth big_V truth,A))) <-> A
% 191.31/191.53 Current number of equations to process: 3770
% 191.31/191.53 Current number of ordered equations: 2
% 191.31/191.53 Current number of rules: 1740
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1778] implies(implies(truth,implies(truth,truth big_V truth)),A) <-> A
% 191.31/191.53 Current number of equations to process: 3770
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1741
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1779] implies(truth big_V implies(truth,implies(truth,truth)),A) <-> A
% 191.31/191.53 Current number of equations to process: 3770
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1742
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1780] A <-> implies(implies(truth,truth),implies(truth big_V truth,A))
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 5
% 191.31/191.53 Current number of rules: 1743
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1781] A <-> implies(implies(implies(truth,truth),truth big_V truth),A)
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 4
% 191.31/191.53 Current number of rules: 1744
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1782] A <-> implies(truth big_V implies(implies(truth,truth),truth),A)
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 3
% 191.31/191.53 Current number of rules: 1745
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1783] implies(implies(truth,truth),implies(truth big_V truth,A)) <-> A
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 2
% 191.31/191.53 Current number of rules: 1746
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1784] implies(implies(implies(truth,truth),truth big_V truth),A) <-> A
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1747
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1785] implies(truth big_V implies(implies(truth,truth),truth),A) <-> A
% 191.31/191.53 Current number of equations to process: 3767
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1748
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1786] truth big_V (truth big_V truth) <-> ifeq(A,A,truth big_V truth,B)
% 191.31/191.53 Current number of equations to process: 3766
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1749
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1787] ifeq(A,A,truth big_V truth,B) <-> truth big_V (truth big_V truth)
% 191.31/191.53 Current number of equations to process: 3766
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1750
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1788] truth big_V (truth big_V truth) <-> ifeq2(A,A,truth big_V truth,B)
% 191.31/191.53 Current number of equations to process: 3765
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1751
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1789] ifeq2(A,A,truth big_V truth,B) <-> truth big_V (truth big_V truth)
% 191.31/191.53 Current number of equations to process: 3765
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1752
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1790] implies(ifeq(A,A,B,C),B) <-> (truth big_V truth) big_V B
% 191.31/191.53 Current number of equations to process: 3764
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1753
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1791] (truth big_V truth) big_V B <-> implies(ifeq(A,A,B,C),B)
% 191.31/191.53 Current number of equations to process: 3764
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1754
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1792] implies(ifeq2(A,A,B,C),B) <-> (truth big_V truth) big_V B
% 191.31/191.53 Current number of equations to process: 3763
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1755
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1793] (truth big_V truth) big_V B <-> implies(ifeq2(A,A,B,C),B)
% 191.31/191.53 Current number of equations to process: 3763
% 191.31/191.53 Current number of ordered equations: 0
% 191.31/191.53 Current number of rules: 1756
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1794] truth <-> implies(implies(implies(A,A),truth big_V truth),truth)
% 191.31/191.53 Current number of equations to process: 3762
% 191.31/191.53 Current number of ordered equations: 1
% 191.31/191.53 Current number of rules: 1757
% 191.31/191.53 New rule produced :
% 191.31/191.53 [1795] implies(implies(implies(A,A),truth big_V truth),truth) <-> truth
% 191.31/191.53 Current number of equations to process: 3762
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1758
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1796] truth <-> implies(implies(truth big_V truth,A),implies(truth,A))
% 192.22/192.44 Current number of equations to process: 3761
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1759
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1797] implies(implies(truth big_V truth,A),implies(truth,A)) <-> truth
% 192.22/192.44 Current number of equations to process: 3761
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1760
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1798] truth <-> implies(implies(truth,truth big_V truth),implies(A,A))
% 192.22/192.44 Current number of equations to process: 3760
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1761
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1799] implies(implies(truth,truth big_V truth),implies(A,A)) <-> truth
% 192.22/192.44 Current number of equations to process: 3760
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1762
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1800] truth <-> implies(truth,implies(A,implies(truth big_V truth,A)))
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 5
% 192.22/192.44 Current number of rules: 1763
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1801] truth <-> implies(implies(A,truth),implies(A,truth big_V truth))
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 4
% 192.22/192.44 Current number of rules: 1764
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1802] truth <-> implies(implies(truth big_V truth,truth),implies(A,A))
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 3
% 192.22/192.44 Current number of rules: 1765
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1803] implies(truth,implies(A,implies(truth big_V truth,A))) <-> truth
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 2
% 192.22/192.44 Current number of rules: 1766
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1804] implies(implies(A,truth),implies(A,truth big_V truth)) <-> truth
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1767
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1805] implies(implies(truth big_V truth,truth),implies(A,A)) <-> truth
% 192.22/192.44 Current number of equations to process: 3757
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1768
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1806] A <-> implies(implies(truth big_V truth,truth big_V truth),A)
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 5
% 192.22/192.44 Current number of rules: 1769
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1807] A <-> implies(truth big_V implies(truth big_V truth,truth),A)
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 4
% 192.22/192.44 Current number of rules: 1770
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1808] A <-> implies(truth big_V truth,implies(truth big_V truth,A))
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 3
% 192.22/192.44 Current number of rules: 1771
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1809] implies(implies(truth big_V truth,truth big_V truth),A) <-> A
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 2
% 192.22/192.44 Current number of rules: 1772
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1810] implies(truth big_V implies(truth big_V truth,truth),A) <-> A
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1773
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1811] implies(truth big_V truth,implies(truth big_V truth,A)) <-> A
% 192.22/192.44 Current number of equations to process: 3754
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1774
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1812]
% 192.22/192.44 implies(truth,implies(truth,implies(A,A))) <-> (truth big_V truth) big_V A
% 192.22/192.44 Current number of equations to process: 3753
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1775
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1813]
% 192.22/192.44 (truth big_V truth) big_V A <-> implies(truth,implies(truth,implies(A,A)))
% 192.22/192.44 Current number of equations to process: 3753
% 192.22/192.44 Current number of ordered equations: 0
% 192.22/192.44 Current number of rules: 1776
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1814]
% 192.22/192.44 implies(implies(truth,truth),implies(A,A)) <-> (truth big_V truth) big_V A
% 192.22/192.44 Current number of equations to process: 3752
% 192.22/192.44 Current number of ordered equations: 1
% 192.22/192.44 Current number of rules: 1777
% 192.22/192.44 New rule produced :
% 192.22/192.44 [1815]
% 192.22/192.44 (truth big_V truth) big_V A <-> implies(implies(truth,truth),implies(A,A))
% 192.92/193.13 Current number of equations to process: 3752
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1778
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1816] truth <-> ifeq(A,A,truth big_V (truth big_V truth),B)
% 192.92/193.13 Current number of equations to process: 3751
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1779
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1817] ifeq(A,A,truth big_V (truth big_V truth),B) <-> truth
% 192.92/193.13 Current number of equations to process: 3751
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1780
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1818] truth <-> ifeq2(A,A,truth big_V (truth big_V truth),B)
% 192.92/193.13 Current number of equations to process: 3750
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1781
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1819] ifeq2(A,A,truth big_V (truth big_V truth),B) <-> truth
% 192.92/193.13 Current number of equations to process: 3750
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1782
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1820] (eq)(truth,(truth big_V truth) big_V implies(truth,truth)) -> (true)
% 192.92/193.13 Current number of equations to process: 3749
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1783
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1821] implies((truth big_V truth) big_V A,A) <-> implies(truth,A big_V A)
% 192.92/193.13 Current number of equations to process: 3748
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1784
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1822] implies(truth,A big_V A) <-> implies((truth big_V truth) big_V A,A)
% 192.92/193.13 Current number of equations to process: 3748
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1785
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1823] ((truth big_V truth) big_V A) big_V A <-> implies(A big_V A,A)
% 192.92/193.13 Current number of equations to process: 3747
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1786
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1824] implies(A big_V A,A) <-> ((truth big_V truth) big_V A) big_V A
% 192.92/193.13 Current number of equations to process: 3747
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1787
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1825] (truth big_V truth) big_V B <-> ifeq(A,A,truth big_V B,C)
% 192.92/193.13 Rule [1786] truth big_V (truth big_V truth) <-> ifeq(A,A,truth big_V truth,B)
% 192.92/193.13 collapsed.
% 192.92/193.13 Current number of equations to process: 3746
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1787
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1826] ifeq(A,A,truth big_V B,C) <-> (truth big_V truth) big_V B
% 192.92/193.13 Rule [1787] ifeq(A,A,truth big_V truth,B) <-> truth big_V (truth big_V truth)
% 192.92/193.13 collapsed.
% 192.92/193.13 Current number of equations to process: 3746
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1787
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1827] (truth big_V truth) big_V B <-> ifeq2(A,A,truth big_V B,C)
% 192.92/193.13 Rule
% 192.92/193.13 [1788] truth big_V (truth big_V truth) <-> ifeq2(A,A,truth big_V truth,B)
% 192.92/193.13 collapsed.
% 192.92/193.13 Current number of equations to process: 3745
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1787
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1828] ifeq2(A,A,truth big_V B,C) <-> (truth big_V truth) big_V B
% 192.92/193.13 Rule
% 192.92/193.13 [1789] ifeq2(A,A,truth big_V truth,B) <-> truth big_V (truth big_V truth)
% 192.92/193.13 collapsed.
% 192.92/193.13 Current number of equations to process: 3745
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1787
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1829] truth <-> implies(truth,(truth big_V truth) big_V implies(truth,A))
% 192.92/193.13 Current number of equations to process: 3744
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1788
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1830] implies(truth,(truth big_V truth) big_V implies(truth,A)) <-> truth
% 192.92/193.13 Current number of equations to process: 3744
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1789
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1831]
% 192.92/193.13 (truth big_V truth) big_V A <-> implies(truth big_V truth,implies(A,A))
% 192.92/193.13 Current number of equations to process: 3743
% 192.92/193.13 Current number of ordered equations: 1
% 192.92/193.13 Current number of rules: 1790
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1832]
% 192.92/193.13 implies(truth big_V truth,implies(A,A)) <-> (truth big_V truth) big_V A
% 192.92/193.13 Current number of equations to process: 3743
% 192.92/193.13 Current number of ordered equations: 0
% 192.92/193.13 Current number of rules: 1791
% 192.92/193.13 New rule produced :
% 192.92/193.13 [1833]
% 192.92/193.13 implies(implies(truth big_V truth,A),A) <-> implies(truth,implies(A,A))
% 192.92/193.13 Current number of equations to process: 3741
% 192.92/193.13 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1792
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1834]
% 193.64/193.80 implies(truth,implies(A,A)) <-> implies(implies(truth big_V truth,A),A)
% 193.64/193.80 Current number of equations to process: 3741
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1793
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1835] implies(truth big_V truth,A) big_V A <-> implies(implies(A,A),A)
% 193.64/193.80 Current number of equations to process: 3740
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1794
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1836] implies(implies(A,A),A) <-> implies(truth big_V truth,A) big_V A
% 193.64/193.80 Current number of equations to process: 3740
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1795
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1837] truth big_V implies(truth,implies(truth,truth)) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3738
% 193.64/193.80 Current number of ordered equations: 3
% 193.64/193.80 Current number of rules: 1796
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1838] implies(truth,implies(truth,truth big_V truth)) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3738
% 193.64/193.80 Current number of ordered equations: 2
% 193.64/193.80 Current number of rules: 1797
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1839] ifeq(A,A,truth,B) <-> truth big_V implies(truth,implies(truth,truth))
% 193.64/193.80 Current number of equations to process: 3738
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1798
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1840] ifeq(A,A,truth,B) <-> implies(truth,implies(truth,truth big_V truth))
% 193.64/193.80 Current number of equations to process: 3738
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1799
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1841] implies(implies(truth,truth),truth big_V truth) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3737
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1800
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1842] ifeq(A,A,truth,B) <-> implies(implies(truth,truth),truth big_V truth)
% 193.64/193.80 Current number of equations to process: 3737
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1801
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1843]
% 193.64/193.80 implies(truth,implies(implies(truth,truth),truth)) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3736
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1802
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1844]
% 193.64/193.80 ifeq(A,A,truth,B) <-> implies(truth,implies(implies(truth,truth),truth))
% 193.64/193.80 Current number of equations to process: 3736
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1803
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1845] truth big_V implies(truth big_V truth,truth) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3734
% 193.64/193.80 Current number of ordered equations: 3
% 193.64/193.80 Current number of rules: 1804
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1846] implies(truth big_V truth,truth big_V truth) <-> ifeq(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3734
% 193.64/193.80 Current number of ordered equations: 2
% 193.64/193.80 Current number of rules: 1805
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1847] ifeq(A,A,truth,B) <-> truth big_V implies(truth big_V truth,truth)
% 193.64/193.80 Current number of equations to process: 3734
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1806
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1848] ifeq(A,A,truth,B) <-> implies(truth big_V truth,truth big_V truth)
% 193.64/193.80 Current number of equations to process: 3734
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1807
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1849] truth big_V implies(truth,implies(truth,truth)) <-> ifeq2(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3732
% 193.64/193.80 Current number of ordered equations: 3
% 193.64/193.80 Current number of rules: 1808
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1850] implies(truth,implies(truth,truth big_V truth)) <-> ifeq2(A,A,truth,B)
% 193.64/193.80 Current number of equations to process: 3732
% 193.64/193.80 Current number of ordered equations: 2
% 193.64/193.80 Current number of rules: 1809
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1851] ifeq2(A,A,truth,B) <-> truth big_V implies(truth,implies(truth,truth))
% 193.64/193.80 Current number of equations to process: 3732
% 193.64/193.80 Current number of ordered equations: 1
% 193.64/193.80 Current number of rules: 1810
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1852] ifeq2(A,A,truth,B) <-> implies(truth,implies(truth,truth big_V truth))
% 193.64/193.80 Current number of equations to process: 3732
% 193.64/193.80 Current number of ordered equations: 0
% 193.64/193.80 Current number of rules: 1811
% 193.64/193.80 New rule produced :
% 193.64/193.80 [1853] implies(implies(truth,truth),truth big_V truth) <-> ifeq2(A,A,truth,B)
% 194.35/194.55 Current number of equations to process: 3731
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1812
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1854] ifeq2(A,A,truth,B) <-> implies(implies(truth,truth),truth big_V truth)
% 194.35/194.55 Current number of equations to process: 3731
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1813
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1855]
% 194.35/194.55 implies(truth,implies(implies(truth,truth),truth)) <-> ifeq2(A,A,truth,B)
% 194.35/194.55 Current number of equations to process: 3730
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1814
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1856]
% 194.35/194.55 ifeq2(A,A,truth,B) <-> implies(truth,implies(implies(truth,truth),truth))
% 194.35/194.55 Current number of equations to process: 3730
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1815
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1857] truth big_V implies(truth big_V truth,truth) <-> ifeq2(A,A,truth,B)
% 194.35/194.55 Current number of equations to process: 3728
% 194.35/194.55 Current number of ordered equations: 3
% 194.35/194.55 Current number of rules: 1816
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1858] implies(truth big_V truth,truth big_V truth) <-> ifeq2(A,A,truth,B)
% 194.35/194.55 Current number of equations to process: 3728
% 194.35/194.55 Current number of ordered equations: 2
% 194.35/194.55 Current number of rules: 1817
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1859] ifeq2(A,A,truth,B) <-> truth big_V implies(truth big_V truth,truth)
% 194.35/194.55 Current number of equations to process: 3728
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1818
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1860] ifeq2(A,A,truth,B) <-> implies(truth big_V truth,truth big_V truth)
% 194.35/194.55 Current number of equations to process: 3728
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1819
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1861] (eq)(A,implies(implies(truth,truth big_V truth),A)) -> (true)
% 194.35/194.55 Current number of equations to process: 3727
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1820
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1862] A <-> implies(truth,implies(implies(truth,truth big_V truth),A))
% 194.35/194.55 Current number of equations to process: 3725
% 194.35/194.55 Current number of ordered equations: 3
% 194.35/194.55 Current number of rules: 1821
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1863] A <-> implies(implies(truth,truth big_V truth),implies(truth,A))
% 194.35/194.55 Current number of equations to process: 3725
% 194.35/194.55 Current number of ordered equations: 2
% 194.35/194.55 Current number of rules: 1822
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1864] implies(truth,implies(implies(truth,truth big_V truth),A)) <-> A
% 194.35/194.55 Current number of equations to process: 3725
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1823
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1865] implies(implies(truth,truth big_V truth),implies(truth,A)) <-> A
% 194.35/194.55 Current number of equations to process: 3725
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1824
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1866] A <-> implies(implies(implies(truth,truth big_V truth),truth),A)
% 194.35/194.55 Current number of equations to process: 3723
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1825
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1867] implies(implies(implies(truth,truth big_V truth),truth),A) <-> A
% 194.35/194.55 Current number of equations to process: 3723
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1826
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1868]
% 194.35/194.55 implies(truth,implies(A,A)) <-> implies(truth,truth big_V truth) big_V A
% 194.35/194.55 Current number of equations to process: 3722
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1827
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1869]
% 194.35/194.55 implies(truth,truth big_V truth) big_V A <-> implies(truth,implies(A,A))
% 194.35/194.55 Current number of equations to process: 3722
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1828
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1870] implies(implies(truth,truth big_V truth),A) <-> ifeq(B,B,A,C)
% 194.35/194.55 Current number of equations to process: 3721
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1829
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1871] ifeq(B,B,A,C) <-> implies(implies(truth,truth big_V truth),A)
% 194.35/194.55 Current number of equations to process: 3721
% 194.35/194.55 Current number of ordered equations: 0
% 194.35/194.55 Current number of rules: 1830
% 194.35/194.55 New rule produced :
% 194.35/194.55 [1872] implies(implies(truth,truth big_V truth),A) <-> ifeq2(B,B,A,C)
% 194.35/194.55 Current number of equations to process: 3720
% 194.35/194.55 Current number of ordered equations: 1
% 194.35/194.55 Current number of rules: 1831
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1873] ifeq2(B,B,A,C) <-> implies(implies(truth,truth big_V truth),A)
% 195.14/195.30 Current number of equations to process: 3720
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1832
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1874]
% 195.14/195.30 implies(truth,truth big_V truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 195.14/195.30 Current number of equations to process: 3719
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1833
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1875]
% 195.14/195.30 ifeq(ordered(truth,A),true,A,truth) <-> implies(truth,truth big_V truth)
% 195.14/195.30 Current number of equations to process: 3719
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1834
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1876]
% 195.14/195.30 implies(truth,truth big_V truth) <-> implies(implies(not(A),not(truth)),A)
% 195.14/195.30 Current number of equations to process: 3718
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1835
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1877]
% 195.14/195.30 implies(implies(not(A),not(truth)),A) <-> implies(truth,truth big_V truth)
% 195.14/195.30 Current number of equations to process: 3718
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1836
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1878]
% 195.14/195.30 implies(implies(A,not(not(A))),truth) <-> implies(truth,truth big_V truth)
% 195.14/195.30 Current number of equations to process: 3717
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1837
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1879]
% 195.14/195.30 implies(truth,truth big_V truth) <-> implies(implies(A,not(not(A))),truth)
% 195.14/195.30 Current number of equations to process: 3717
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1838
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1880] A <-> implies(truth big_V implies(truth,truth big_V truth),A)
% 195.14/195.30 Current number of equations to process: 3716
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1839
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1881] implies(truth big_V implies(truth,truth big_V truth),A) <-> A
% 195.14/195.30 Current number of equations to process: 3716
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1840
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1882] truth big_V implies(truth,truth big_V truth) <-> ifeq(A,A,truth,B)
% 195.14/195.30 Current number of equations to process: 3715
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1841
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1883] ifeq(A,A,truth,B) <-> truth big_V implies(truth,truth big_V truth)
% 195.14/195.30 Current number of equations to process: 3715
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1842
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1884] truth big_V implies(truth,truth big_V truth) <-> ifeq2(A,A,truth,B)
% 195.14/195.30 Current number of equations to process: 3714
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1843
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1885] ifeq2(A,A,truth,B) <-> truth big_V implies(truth,truth big_V truth)
% 195.14/195.30 Current number of equations to process: 3714
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1844
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1886] truth <-> ifeq(ordered(truth,truth big_V truth),true,truth,truth)
% 195.14/195.30 Current number of equations to process: 3713
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1845
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1887] ifeq(ordered(truth,truth big_V truth),true,truth,truth) <-> truth
% 195.14/195.30 Current number of equations to process: 3713
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1846
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1888] truth <-> implies(implies(not(truth big_V truth),not(truth)),truth)
% 195.14/195.30 Current number of equations to process: 3712
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1847
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1889] implies(implies(not(truth big_V truth),not(truth)),truth) <-> truth
% 195.14/195.30 Current number of equations to process: 3712
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1848
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1890] true <-> ifeq2(truth,truth,ordered(truth,truth big_V truth),true)
% 195.14/195.30 Current number of equations to process: 3711
% 195.14/195.30 Current number of ordered equations: 1
% 195.14/195.30 Current number of rules: 1849
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1891] ifeq2(truth,truth,ordered(truth,truth big_V truth),true) <-> true
% 195.14/195.30 Current number of equations to process: 3711
% 195.14/195.30 Current number of ordered equations: 0
% 195.14/195.30 Current number of rules: 1850
% 195.14/195.30 New rule produced :
% 195.14/195.30 [1892]
% 195.14/195.30 truth <-> implies(truth,implies(truth,implies(truth,truth big_V truth)))
% 195.94/196.15 Current number of equations to process: 3709
% 195.94/196.15 Current number of ordered equations: 3
% 195.94/196.15 Current number of rules: 1851
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1893]
% 195.94/196.15 truth <-> implies(implies(truth,implies(truth,truth)),truth big_V truth)
% 195.94/196.15 Current number of equations to process: 3709
% 195.94/196.15 Current number of ordered equations: 2
% 195.94/196.15 Current number of rules: 1852
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1894]
% 195.94/196.15 implies(truth,implies(truth,implies(truth,truth big_V truth))) <-> truth
% 195.94/196.15 Current number of equations to process: 3709
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1853
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1895]
% 195.94/196.15 implies(implies(truth,implies(truth,truth)),truth big_V truth) <-> truth
% 195.94/196.15 Current number of equations to process: 3709
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1854
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1896]
% 195.94/196.15 truth big_V (truth big_V truth) <->
% 195.94/196.15 implies(truth,implies(truth,truth big_V truth))
% 195.94/196.15 Current number of equations to process: 3708
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1855
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1897]
% 195.94/196.15 implies(truth,implies(truth,truth big_V truth)) <->
% 195.94/196.15 truth big_V (truth big_V truth)
% 195.94/196.15 Current number of equations to process: 3708
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1856
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1898] truth <-> implies(A,implies(implies(A,truth big_V truth),truth))
% 195.94/196.15 Current number of equations to process: 3706
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1857
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1899] implies(A,implies(implies(A,truth big_V truth),truth)) <-> truth
% 195.94/196.15 Current number of equations to process: 3706
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1858
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1900] truth <-> implies(truth,implies(implies(truth big_V truth,A),A))
% 195.94/196.15 Current number of equations to process: 3705
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1859
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1901] implies(truth,implies(implies(truth big_V truth,A),A)) <-> truth
% 195.94/196.15 Current number of equations to process: 3705
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1860
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1902] truth <-> implies(truth,implies(truth big_V truth,truth big_V truth))
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 5
% 195.94/196.15 Current number of rules: 1861
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1903] truth <-> implies(truth,truth big_V implies(truth big_V truth,truth))
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 4
% 195.94/196.15 Current number of rules: 1862
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1904] truth <-> implies(implies(truth big_V truth,truth),truth big_V truth)
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 3
% 195.94/196.15 Current number of rules: 1863
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1905] implies(truth,implies(truth big_V truth,truth big_V truth)) <-> truth
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 2
% 195.94/196.15 Current number of rules: 1864
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1906] implies(truth,truth big_V implies(truth big_V truth,truth)) <-> truth
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1865
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1907] implies(implies(truth big_V truth,truth),truth big_V truth) <-> truth
% 195.94/196.15 Current number of equations to process: 3702
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1866
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1908]
% 195.94/196.15 implies(truth,truth) <-> implies(implies(not(implies(truth,A)),not(truth)),A)
% 195.94/196.15 Current number of equations to process: 3701
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1867
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1909]
% 195.94/196.15 implies(implies(not(implies(truth,A)),not(truth)),A) <-> implies(truth,truth)
% 195.94/196.15 Current number of equations to process: 3701
% 195.94/196.15 Current number of ordered equations: 0
% 195.94/196.15 Current number of rules: 1868
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1910]
% 195.94/196.15 implies(truth,truth) <-> implies(implies(not(A),not(implies(truth,truth))),A)
% 195.94/196.15 Current number of equations to process: 3700
% 195.94/196.15 Current number of ordered equations: 1
% 195.94/196.15 Current number of rules: 1869
% 195.94/196.15 New rule produced :
% 195.94/196.15 [1911]
% 195.94/196.15 implies(implies(not(A),not(implies(truth,truth))),A) <-> implies(truth,truth)
% 195.94/196.15 Current number of equations to process: 3700
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1870
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1912]
% 196.64/196.86 implies(truth,truth) <-> implies(implies(implies(implies(A,B),B),A),truth)
% 196.64/196.86 Current number of equations to process: 3699
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1871
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1913]
% 196.64/196.86 implies(implies(implies(implies(A,B),B),A),truth) <-> implies(truth,truth)
% 196.64/196.86 Current number of equations to process: 3699
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1872
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1914]
% 196.64/196.86 truth big_V truth <-> implies(implies(implies(implies(A,B),B),A),truth)
% 196.64/196.86 Current number of equations to process: 3698
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1873
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1915]
% 196.64/196.86 implies(implies(implies(implies(A,B),B),A),truth) <-> truth big_V truth
% 196.64/196.86 Current number of equations to process: 3698
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1874
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1916]
% 196.64/196.86 truth big_V implies(implies(implies(A,B),B),A) <-> implies(truth,truth)
% 196.64/196.86 Current number of equations to process: 3697
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1875
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1917]
% 196.64/196.86 implies(truth,truth) <-> truth big_V implies(implies(implies(A,B),B),A)
% 196.64/196.86 Current number of equations to process: 3697
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1876
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1918]
% 196.64/196.86 implies(A,implies(implies(A,B),implies(truth,B))) <-> implies(truth,truth)
% 196.64/196.86 Current number of equations to process: 3696
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1877
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1919]
% 196.64/196.86 implies(truth,truth) <-> implies(A,implies(implies(A,B),implies(truth,B)))
% 196.64/196.86 Current number of equations to process: 3696
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1878
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1920]
% 196.64/196.86 truth big_V truth <-> implies(A,implies(implies(A,B),implies(truth,B)))
% 196.64/196.86 Current number of equations to process: 3695
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1879
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1921]
% 196.64/196.86 implies(A,implies(implies(A,B),implies(truth,B))) <-> truth big_V truth
% 196.64/196.86 Current number of equations to process: 3695
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1880
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1922]
% 196.64/196.86 implies(truth,truth) <-> implies(implies(truth,A),implies(implies(A,B),B))
% 196.64/196.86 Current number of equations to process: 3694
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1881
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1923]
% 196.64/196.86 implies(implies(truth,A),implies(implies(A,B),B)) <-> implies(truth,truth)
% 196.64/196.86 Current number of equations to process: 3694
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1882
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1924]
% 196.64/196.86 truth big_V truth <-> implies(implies(truth,A),implies(implies(A,B),B))
% 196.64/196.86 Current number of equations to process: 3693
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1883
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1925]
% 196.64/196.86 implies(implies(truth,A),implies(implies(A,B),B)) <-> truth big_V truth
% 196.64/196.86 Current number of equations to process: 3693
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1884
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1926]
% 196.64/196.86 implies(truth,truth) <-> implies(implies(A,truth),implies(B,implies(A,B)))
% 196.64/196.86 Current number of equations to process: 3692
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1885
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1927]
% 196.64/196.86 implies(implies(A,truth),implies(B,implies(A,B))) <-> implies(truth,truth)
% 196.64/196.86 Current number of equations to process: 3692
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1886
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1928]
% 196.64/196.86 truth big_V truth <-> implies(implies(A,truth),implies(B,implies(A,B)))
% 196.64/196.86 Current number of equations to process: 3691
% 196.64/196.86 Current number of ordered equations: 1
% 196.64/196.86 Current number of rules: 1887
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1929]
% 196.64/196.86 implies(implies(A,truth),implies(B,implies(A,B))) <-> truth big_V truth
% 196.64/196.86 Current number of equations to process: 3691
% 196.64/196.86 Current number of ordered equations: 0
% 196.64/196.86 Current number of rules: 1888
% 196.64/196.86 New rule produced :
% 196.64/196.86 [1930]
% 196.64/196.86 implies(truth,truth) <-> implies(implies(A,A),truth big_V implies(A,B))
% 196.64/196.86 Current number of equations to process: 3690
% 196.64/196.86 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1889
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1931]
% 197.34/197.58 implies(implies(A,A),truth big_V implies(A,B)) <-> implies(truth,truth)
% 197.34/197.58 Current number of equations to process: 3690
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1890
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1932] truth big_V truth <-> implies(implies(A,A),truth big_V implies(A,B))
% 197.34/197.58 Current number of equations to process: 3689
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1891
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1933] implies(implies(A,A),truth big_V implies(A,B)) <-> truth big_V truth
% 197.34/197.58 Current number of equations to process: 3689
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1892
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1934]
% 197.34/197.58 implies(implies(A,not(not(A))),truth) <->
% 197.34/197.58 implies(implies(B,not(not(B))),truth)
% 197.34/197.58 Current number of equations to process: 3688
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1893
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1935] implies(implies(A,not(not(A))),truth) big_V B <-> implies(B,B)
% 197.34/197.58 Current number of equations to process: 3687
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1894
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1936] implies(B,B) <-> implies(implies(A,not(not(A))),truth) big_V B
% 197.34/197.58 Current number of equations to process: 3687
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1895
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1937]
% 197.34/197.58 ifeq(A,A,implies(truth,truth),B) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3686
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1896
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1938]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> ifeq(A,A,implies(truth,truth),B)
% 197.34/197.58 Current number of equations to process: 3686
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1897
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1939]
% 197.34/197.58 implies(ifeq(A,A,truth,B),truth) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3685
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1898
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1940]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> implies(ifeq(A,A,truth,B),truth)
% 197.34/197.58 Current number of equations to process: 3685
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1899
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1941]
% 197.34/197.58 ifeq2(A,A,implies(truth,truth),B) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3684
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1900
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1942]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> ifeq2(A,A,implies(truth,truth),B)
% 197.34/197.58 Current number of equations to process: 3684
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1901
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1943]
% 197.34/197.58 implies(ifeq2(A,A,truth,B),truth) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3683
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1902
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1944]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> implies(ifeq2(A,A,truth,B),truth)
% 197.34/197.58 Current number of equations to process: 3683
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1903
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1945]
% 197.34/197.58 implies(truth,ifeq(A,A,truth,B)) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3682
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1904
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1946]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> implies(truth,ifeq(A,A,truth,B))
% 197.34/197.58 Current number of equations to process: 3682
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1905
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1947]
% 197.34/197.58 implies(truth,ifeq2(A,A,truth,B)) <-> implies(implies(C,not(not(C))),truth)
% 197.34/197.58 Current number of equations to process: 3681
% 197.34/197.58 Current number of ordered equations: 1
% 197.34/197.58 Current number of rules: 1906
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1948]
% 197.34/197.58 implies(implies(C,not(not(C))),truth) <-> implies(truth,ifeq2(A,A,truth,B))
% 197.34/197.58 Current number of equations to process: 3681
% 197.34/197.58 Current number of ordered equations: 0
% 197.34/197.58 Current number of rules: 1907
% 197.34/197.58 New rule produced :
% 197.34/197.58 [1949]
% 197.34/197.58 ifeq(ordered(truth,A),true,A,truth) <-> implies(implies(B,not(not(B))),truth)
% 197.34/197.58 Current number of equations to process: 3680
% 197.34/197.58 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1908
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1950]
% 198.13/198.38 implies(implies(B,not(not(B))),truth) <-> ifeq(ordered(truth,A),true,A,truth)
% 198.13/198.38 Current number of equations to process: 3680
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1909
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1951]
% 198.13/198.38 implies(implies(not(A),not(truth)),A) <->
% 198.13/198.38 implies(implies(B,not(not(B))),truth)
% 198.13/198.38 Current number of equations to process: 3679
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1910
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1952]
% 198.13/198.38 implies(implies(B,not(not(B))),truth) <->
% 198.13/198.38 implies(implies(not(A),not(truth)),A)
% 198.13/198.38 Current number of equations to process: 3679
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1911
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1953]
% 198.13/198.38 implies(truth,truth) <-> implies(truth,truth big_V implies(A,not(not(A))))
% 198.13/198.38 Current number of equations to process: 3678
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1912
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1954]
% 198.13/198.38 implies(truth,truth big_V implies(A,not(not(A)))) <-> implies(truth,truth)
% 198.13/198.38 Current number of equations to process: 3678
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1913
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1955]
% 198.13/198.38 implies(truth big_V implies(A,not(not(A))),truth) <-> truth big_V truth
% 198.13/198.38 Current number of equations to process: 3677
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1914
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1956]
% 198.13/198.38 truth big_V truth <-> implies(truth big_V implies(A,not(not(A))),truth)
% 198.13/198.38 Current number of equations to process: 3677
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1915
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1957]
% 198.13/198.38 truth big_V implies(C,not(not(C))) <-> implies(ifeq(A,A,truth,B),truth)
% 198.13/198.38 Current number of equations to process: 3676
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1916
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1958]
% 198.13/198.38 implies(ifeq(A,A,truth,B),truth) <-> truth big_V implies(C,not(not(C)))
% 198.13/198.38 Current number of equations to process: 3676
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1917
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1959]
% 198.13/198.38 truth big_V implies(C,not(not(C))) <-> ifeq(A,A,implies(truth,truth),B)
% 198.13/198.38 Current number of equations to process: 3675
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1918
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1960]
% 198.13/198.38 ifeq(A,A,implies(truth,truth),B) <-> truth big_V implies(C,not(not(C)))
% 198.13/198.38 Current number of equations to process: 3675
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1919
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1961]
% 198.13/198.38 truth big_V implies(C,not(not(C))) <-> implies(ifeq2(A,A,truth,B),truth)
% 198.13/198.38 Current number of equations to process: 3674
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1920
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1962]
% 198.13/198.38 implies(ifeq2(A,A,truth,B),truth) <-> truth big_V implies(C,not(not(C)))
% 198.13/198.38 Current number of equations to process: 3674
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1921
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1963]
% 198.13/198.38 truth big_V implies(C,not(not(C))) <-> ifeq2(A,A,implies(truth,truth),B)
% 198.13/198.38 Current number of equations to process: 3673
% 198.13/198.38 Current number of ordered equations: 1
% 198.13/198.38 Current number of rules: 1922
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1964]
% 198.13/198.38 ifeq2(A,A,implies(truth,truth),B) <-> truth big_V implies(C,not(not(C)))
% 198.13/198.38 Current number of equations to process: 3673
% 198.13/198.38 Current number of ordered equations: 0
% 198.13/198.38 Current number of rules: 1923
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1965]
% 198.13/198.38 implies(truth big_V truth,implies(truth,truth)) big_V A <-> implies(A,A)
% 198.13/198.38 Current number of equations to process: 3669
% 198.13/198.38 Current number of ordered equations: 7
% 198.13/198.38 Current number of rules: 1924
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1966]
% 198.13/198.38 implies(implies(truth big_V truth,truth),truth) big_V A <-> implies(A,A)
% 198.13/198.38 Current number of equations to process: 3669
% 198.13/198.38 Current number of ordered equations: 6
% 198.13/198.38 Current number of rules: 1925
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1967]
% 198.13/198.38 implies(A,A) <-> implies(truth big_V truth,implies(truth,truth)) big_V A
% 198.13/198.38 Current number of equations to process: 3669
% 198.13/198.38 Current number of ordered equations: 5
% 198.13/198.38 Current number of rules: 1926
% 198.13/198.38 New rule produced :
% 198.13/198.38 [1968]
% 198.13/198.38 implies(A,A) <-> implies(implies(truth big_V truth,truth),truth) big_V A
% 198.13/198.38 Current number of equations to process: 3669
% 198.13/198.38 Current number of ordered equations: 4
% 199.15/199.32 Current number of rules: 1927
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1969]
% 199.15/199.32 implies(A,A) <-> implies(truth big_V truth,implies(truth,truth) big_V A)
% 199.15/199.32 Current number of equations to process: 3669
% 199.15/199.32 Current number of ordered equations: 3
% 199.15/199.32 Current number of rules: 1928
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1970]
% 199.15/199.32 implies(A,A) <-> implies(truth,implies(truth big_V truth,truth)) big_V A
% 199.15/199.32 Current number of equations to process: 3669
% 199.15/199.32 Current number of ordered equations: 2
% 199.15/199.32 Current number of rules: 1929
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1971]
% 199.15/199.32 implies(truth big_V truth,implies(truth,truth) big_V A) <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3669
% 199.15/199.32 Current number of ordered equations: 1
% 199.15/199.32 Current number of rules: 1930
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1972]
% 199.15/199.32 implies(truth,implies(truth big_V truth,truth)) big_V A <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3669
% 199.15/199.32 Current number of ordered equations: 0
% 199.15/199.32 Current number of rules: 1931
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1973]
% 199.15/199.32 implies(A,A) <-> implies(truth,implies(truth big_V truth,truth big_V A))
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 7
% 199.15/199.32 Current number of rules: 1932
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1974]
% 199.15/199.32 implies(A,A) <-> implies(truth,implies(truth big_V truth,truth) big_V A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 6
% 199.15/199.32 Current number of rules: 1933
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1975]
% 199.15/199.32 implies(A,A) <-> implies(truth big_V truth,implies(truth,truth big_V A))
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 5
% 199.15/199.32 Current number of rules: 1934
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1976]
% 199.15/199.32 implies(A,A) <-> implies(implies(truth big_V truth,truth),truth big_V A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 4
% 199.15/199.32 Current number of rules: 1935
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1977]
% 199.15/199.32 implies(truth,implies(truth big_V truth,truth big_V A)) <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 3
% 199.15/199.32 Current number of rules: 1936
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1978]
% 199.15/199.32 implies(truth,implies(truth big_V truth,truth) big_V A) <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 2
% 199.15/199.32 Current number of rules: 1937
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1979]
% 199.15/199.32 implies(truth big_V truth,implies(truth,truth big_V A)) <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 1
% 199.15/199.32 Current number of rules: 1938
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1980]
% 199.15/199.32 implies(implies(truth big_V truth,truth),truth big_V A) <-> implies(A,A)
% 199.15/199.32 Current number of equations to process: 3665
% 199.15/199.32 Current number of ordered equations: 0
% 199.15/199.32 Current number of rules: 1939
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1981]
% 199.15/199.32 truth big_V A <-> implies(truth,implies(truth big_V truth,implies(A,A)))
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 5
% 199.15/199.32 Current number of rules: 1940
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1982]
% 199.15/199.32 truth big_V A <-> implies(truth big_V truth,implies(truth,implies(A,A)))
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 4
% 199.15/199.32 Current number of rules: 1941
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1983]
% 199.15/199.32 truth big_V A <-> implies(implies(truth big_V truth,truth),implies(A,A))
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 3
% 199.15/199.32 Current number of rules: 1942
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1984]
% 199.15/199.32 implies(truth,implies(truth big_V truth,implies(A,A))) <-> truth big_V A
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 2
% 199.15/199.32 Current number of rules: 1943
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1985]
% 199.15/199.32 implies(truth big_V truth,implies(truth,implies(A,A))) <-> truth big_V A
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 1
% 199.15/199.32 Current number of rules: 1944
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1986]
% 199.15/199.32 implies(implies(truth big_V truth,truth),implies(A,A)) <-> truth big_V A
% 199.15/199.32 Current number of equations to process: 3662
% 199.15/199.32 Current number of ordered equations: 0
% 199.15/199.32 Current number of rules: 1945
% 199.15/199.32 New rule produced :
% 199.15/199.32 [1987] implies(truth,A) <-> implies(truth big_V truth,ifeq(B,B,A,C))
% 199.15/199.32 Current number of equations to process: 3661
% 199.15/199.32 Current number of ordered equations: 1
% 199.15/199.32 Current number of rules: 1946
% 199.15/199.32 New rule produced :
% 199.95/200.17 [1988] implies(truth big_V truth,ifeq(B,B,A,C)) <-> implies(truth,A)
% 199.95/200.17 Current number of equations to process: 3661
% 199.95/200.17 Current number of ordered equations: 0
% 199.95/200.17 Current number of rules: 1947
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1989] implies(truth,A) <-> implies(truth big_V truth,ifeq2(B,B,A,C))
% 199.95/200.17 Current number of equations to process: 3660
% 199.95/200.17 Current number of ordered equations: 1
% 199.95/200.17 Current number of rules: 1948
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1990] implies(truth big_V truth,ifeq2(B,B,A,C)) <-> implies(truth,A)
% 199.95/200.17 Current number of equations to process: 3660
% 199.95/200.17 Current number of ordered equations: 0
% 199.95/200.17 Current number of rules: 1949
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1991]
% 199.95/200.17 implies(implies(truth big_V truth,implies(A,truth)),truth) <-> implies(A,A)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 7
% 199.95/200.17 Current number of rules: 1950
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1992]
% 199.95/200.17 implies(implies(A,implies(truth big_V truth,truth)),truth) <-> implies(A,A)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 6
% 199.95/200.17 Current number of rules: 1951
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1993]
% 199.95/200.17 implies(A,A) <-> implies(implies(truth big_V truth,implies(A,truth)),truth)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 5
% 199.95/200.17 Current number of rules: 1952
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1994]
% 199.95/200.17 implies(A,A) <-> implies(implies(A,implies(truth big_V truth,truth)),truth)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 4
% 199.95/200.17 Current number of rules: 1953
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1995]
% 199.95/200.17 implies(A,A) <-> implies(implies(A,truth),implies(truth big_V truth,truth))
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 3
% 199.95/200.17 Current number of rules: 1954
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1996]
% 199.95/200.17 implies(A,A) <-> implies(truth big_V truth,implies(implies(A,truth),truth))
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 2
% 199.95/200.17 Current number of rules: 1955
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1997]
% 199.95/200.17 implies(implies(A,truth),implies(truth big_V truth,truth)) <-> implies(A,A)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 1
% 199.95/200.17 Current number of rules: 1956
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1998]
% 199.95/200.17 implies(truth big_V truth,implies(implies(A,truth),truth)) <-> implies(A,A)
% 199.95/200.17 Current number of equations to process: 3656
% 199.95/200.17 Current number of ordered equations: 0
% 199.95/200.17 Current number of rules: 1957
% 199.95/200.17 New rule produced :
% 199.95/200.17 [1999] implies(implies(truth big_V truth,truth big_V A),A) <-> A big_V A
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 5
% 199.95/200.17 Current number of rules: 1958
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2000] implies(implies(truth big_V truth,truth) big_V A,A) <-> A big_V A
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 4
% 199.95/200.17 Current number of rules: 1959
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2001] A big_V A <-> implies(implies(truth big_V truth,truth big_V A),A)
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 3
% 199.95/200.17 Current number of rules: 1960
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2002] A big_V A <-> implies(implies(truth big_V truth,truth) big_V A,A)
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 2
% 199.95/200.17 Current number of rules: 1961
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2003] A big_V A <-> implies(truth big_V truth,implies(truth big_V A,A))
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 1
% 199.95/200.17 Current number of rules: 1962
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2004] implies(truth big_V truth,implies(truth big_V A,A)) <-> A big_V A
% 199.95/200.17 Current number of equations to process: 3653
% 199.95/200.17 Current number of ordered equations: 0
% 199.95/200.17 Current number of rules: 1963
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2005] A big_V B <-> implies(truth big_V truth,implies(implies(B,A),A))
% 199.95/200.17 Current number of equations to process: 3652
% 199.95/200.17 Current number of ordered equations: 1
% 199.95/200.17 Current number of rules: 1964
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2006] implies(truth big_V truth,implies(implies(B,A),A)) <-> A big_V B
% 199.95/200.17 Current number of equations to process: 3652
% 199.95/200.17 Current number of ordered equations: 0
% 199.95/200.17 Current number of rules: 1965
% 199.95/200.17 New rule produced :
% 199.95/200.17 [2007] implies(truth big_V truth,implies(B,B)) <-> ifeq(A,A,truth big_V B,C)
% 199.95/200.17 Current number of equations to process: 3651
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1966
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2008] ifeq(A,A,truth big_V B,C) <-> implies(truth big_V truth,implies(B,B))
% 200.65/200.85 Current number of equations to process: 3651
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1967
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2009] ifeq(A,A,truth,B) big_V C <-> implies(truth big_V truth,implies(C,C))
% 200.65/200.85 Current number of equations to process: 3650
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1968
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2010] implies(truth big_V truth,implies(C,C)) <-> ifeq(A,A,truth,B) big_V C
% 200.65/200.85 Current number of equations to process: 3650
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1969
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2011] implies(truth big_V truth,truth big_V B) <-> ifeq(A,A,implies(B,B),C)
% 200.65/200.85 Current number of equations to process: 3648
% 200.65/200.85 Current number of ordered equations: 3
% 200.65/200.85 Current number of rules: 1970
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2012] implies(truth big_V truth,truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 200.65/200.85 Current number of equations to process: 3648
% 200.65/200.85 Current number of ordered equations: 2
% 200.65/200.85 Current number of rules: 1971
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2013] ifeq(A,A,implies(B,B),C) <-> implies(truth big_V truth,truth big_V B)
% 200.65/200.85 Current number of equations to process: 3648
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1972
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2014] ifeq(B,B,implies(A,A),C) <-> implies(truth big_V truth,truth) big_V A
% 200.65/200.85 Current number of equations to process: 3648
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1973
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2015] implies(truth big_V truth,implies(B,B)) <-> ifeq2(A,A,truth big_V B,C)
% 200.65/200.85 Current number of equations to process: 3647
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1974
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2016] ifeq2(A,A,truth big_V B,C) <-> implies(truth big_V truth,implies(B,B))
% 200.65/200.85 Current number of equations to process: 3647
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1975
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2017] ifeq2(A,A,truth,B) big_V C <-> implies(truth big_V truth,implies(C,C))
% 200.65/200.85 Current number of equations to process: 3646
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1976
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2018] implies(truth big_V truth,implies(C,C)) <-> ifeq2(A,A,truth,B) big_V C
% 200.65/200.85 Current number of equations to process: 3646
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1977
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2019] implies(truth big_V truth,truth big_V B) <-> ifeq2(A,A,implies(B,B),C)
% 200.65/200.85 Current number of equations to process: 3644
% 200.65/200.85 Current number of ordered equations: 3
% 200.65/200.85 Current number of rules: 1978
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2020] implies(truth big_V truth,truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 200.65/200.85 Current number of equations to process: 3644
% 200.65/200.85 Current number of ordered equations: 2
% 200.65/200.85 Current number of rules: 1979
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2021] ifeq2(A,A,implies(B,B),C) <-> implies(truth big_V truth,truth big_V B)
% 200.65/200.85 Current number of equations to process: 3644
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1980
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2022] ifeq2(B,B,implies(A,A),C) <-> implies(truth big_V truth,truth) big_V A
% 200.65/200.85 Current number of equations to process: 3644
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1981
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2023]
% 200.65/200.85 implies(truth,implies(implies(A,B),B)) <->
% 200.65/200.85 implies(truth big_V truth,A big_V B)
% 200.65/200.85 Current number of equations to process: 3643
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1982
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2024]
% 200.65/200.85 implies(truth big_V truth,A big_V B) <->
% 200.65/200.85 implies(truth,implies(implies(A,B),B))
% 200.65/200.85 Current number of equations to process: 3643
% 200.65/200.85 Current number of ordered equations: 0
% 200.65/200.85 Current number of rules: 1983
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2025]
% 200.65/200.85 implies(implies(truth,implies(A,B)),B) <->
% 200.65/200.85 implies(truth big_V truth,A big_V B)
% 200.65/200.85 Current number of equations to process: 3642
% 200.65/200.85 Current number of ordered equations: 1
% 200.65/200.85 Current number of rules: 1984
% 200.65/200.85 New rule produced :
% 200.65/200.85 [2026]
% 200.65/200.85 implies(truth big_V truth,A big_V B) <->
% 200.65/200.85 implies(implies(truth,implies(A,B)),B)
% 200.65/200.85 Current number of equations to process: 3642
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1985
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2027]
% 201.35/201.58 implies(truth big_V truth,truth) <-> implies(truth big_V not(A),implies(A,A))
% 201.35/201.58 Current number of equations to process: 3641
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1986
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2028]
% 201.35/201.58 implies(truth big_V not(A),implies(A,A)) <-> implies(truth big_V truth,truth)
% 201.35/201.58 Current number of equations to process: 3641
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1987
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2029]
% 201.35/201.58 implies(implies(A,truth big_V truth),truth big_V truth) <-> implies(A,A)
% 201.35/201.58 Current number of equations to process: 3640
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1988
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2030]
% 201.35/201.58 implies(A,A) <-> implies(implies(A,truth big_V truth),truth big_V truth)
% 201.35/201.58 Current number of equations to process: 3640
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1989
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2031] truth big_V truth <-> ifeq(A,A,truth big_V (truth big_V truth),B)
% 201.35/201.58 Current number of equations to process: 3639
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1990
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2032] ifeq(A,A,truth big_V (truth big_V truth),B) <-> truth big_V truth
% 201.35/201.58 Current number of equations to process: 3639
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1991
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2033] truth big_V truth <-> (truth big_V truth) big_V ifeq(A,A,truth,B)
% 201.35/201.58 Current number of equations to process: 3638
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1992
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2034] (truth big_V truth) big_V ifeq(A,A,truth,B) <-> truth big_V truth
% 201.35/201.58 Current number of equations to process: 3638
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1993
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2035] truth big_V truth <-> ifeq2(A,A,truth big_V (truth big_V truth),B)
% 201.35/201.58 Current number of equations to process: 3637
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1994
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2036] ifeq2(A,A,truth big_V (truth big_V truth),B) <-> truth big_V truth
% 201.35/201.58 Current number of equations to process: 3637
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1995
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2037] truth big_V truth <-> (truth big_V truth) big_V ifeq2(A,A,truth,B)
% 201.35/201.58 Current number of equations to process: 3636
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1996
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2038] (truth big_V truth) big_V ifeq2(A,A,truth,B) <-> truth big_V truth
% 201.35/201.58 Current number of equations to process: 3636
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1997
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2039]
% 201.35/201.58 truth <-> implies(truth big_V not(truth big_V truth),truth big_V truth)
% 201.35/201.58 Current number of equations to process: 3635
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 1998
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2040]
% 201.35/201.58 implies(truth big_V not(truth big_V truth),truth big_V truth) <-> truth
% 201.35/201.58 Current number of equations to process: 3635
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 1999
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2041]
% 201.35/201.58 ifeq2(A,truth,ordered(truth big_V truth,A),true) <-> implies(truth,true)
% 201.35/201.58 Current number of equations to process: 3634
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 2000
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2042]
% 201.35/201.58 implies(truth,true) <-> ifeq2(A,truth,ordered(truth big_V truth,A),true)
% 201.35/201.58 Current number of equations to process: 3634
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 2001
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2043]
% 201.35/201.58 implies(truth,truth) <-> ifeq(ordered(truth big_V truth,A),true,A,truth)
% 201.35/201.58 Current number of equations to process: 3633
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 2002
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2044]
% 201.35/201.58 ifeq(ordered(truth big_V truth,A),true,A,truth) <-> implies(truth,truth)
% 201.35/201.58 Current number of equations to process: 3633
% 201.35/201.58 Current number of ordered equations: 0
% 201.35/201.58 Current number of rules: 2003
% 201.35/201.58 New rule produced :
% 201.35/201.58 [2045]
% 201.35/201.58 implies(truth,truth) <-> implies(implies(not(A),not(truth big_V truth)),A)
% 201.35/201.58 Current number of equations to process: 3632
% 201.35/201.58 Current number of ordered equations: 1
% 201.35/201.58 Current number of rules: 2004
% 201.35/201.58 New rule produced :
% 202.07/202.29 [2046]
% 202.07/202.29 implies(implies(not(A),not(truth big_V truth)),A) <-> implies(truth,truth)
% 202.07/202.29 Current number of equations to process: 3632
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2005
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2047] truth big_V B <-> ifeq(A,A,(truth big_V truth) big_V B,C)
% 202.07/202.29 Rule [2031] truth big_V truth <-> ifeq(A,A,truth big_V (truth big_V truth),B)
% 202.07/202.29 collapsed.
% 202.07/202.29 Current number of equations to process: 3631
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2005
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2048] ifeq(A,A,(truth big_V truth) big_V B,C) <-> truth big_V B
% 202.07/202.29 Rule [2032] ifeq(A,A,truth big_V (truth big_V truth),B) <-> truth big_V truth
% 202.07/202.29 collapsed.
% 202.07/202.29 Current number of equations to process: 3631
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2005
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2049] truth big_V B <-> ifeq2(A,A,(truth big_V truth) big_V B,C)
% 202.07/202.29 Rule
% 202.07/202.29 [2035] truth big_V truth <-> ifeq2(A,A,truth big_V (truth big_V truth),B)
% 202.07/202.29 collapsed.
% 202.07/202.29 Current number of equations to process: 3630
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2005
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2050] ifeq2(A,A,(truth big_V truth) big_V B,C) <-> truth big_V B
% 202.07/202.29 Rule
% 202.07/202.29 [2036] ifeq2(A,A,truth big_V (truth big_V truth),B) <-> truth big_V truth
% 202.07/202.29 collapsed.
% 202.07/202.29 Current number of equations to process: 3630
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2005
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2051] A big_V A <-> implies(truth,implies((truth big_V truth) big_V A,A))
% 202.07/202.29 Current number of equations to process: 3629
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2006
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2052] implies(truth,implies((truth big_V truth) big_V A,A)) <-> A big_V A
% 202.07/202.29 Current number of equations to process: 3629
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2007
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2053] implies(implies(truth,(truth big_V truth) big_V A),A) <-> A big_V A
% 202.07/202.29 Current number of equations to process: 3628
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2008
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2054] A big_V A <-> implies(implies(truth,(truth big_V truth) big_V A),A)
% 202.07/202.29 Current number of equations to process: 3628
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2009
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2055] truth <-> implies(truth big_V not(A),(truth big_V truth) big_V A)
% 202.07/202.29 Current number of equations to process: 3627
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2010
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2056] implies(truth big_V not(A),(truth big_V truth) big_V A) <-> truth
% 202.07/202.29 Current number of equations to process: 3627
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2011
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2057] ifeq(B,B,A big_V A,C) <-> implies((truth big_V truth) big_V A,A)
% 202.07/202.29 Current number of equations to process: 3626
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2012
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2058] implies((truth big_V truth) big_V A,A) <-> ifeq(B,B,A big_V A,C)
% 202.07/202.29 Current number of equations to process: 3626
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2013
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2059] ifeq2(B,B,A big_V A,C) <-> implies((truth big_V truth) big_V A,A)
% 202.07/202.29 Current number of equations to process: 3625
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2014
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2060] implies((truth big_V truth) big_V A,A) <-> ifeq2(B,B,A big_V A,C)
% 202.07/202.29 Current number of equations to process: 3625
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2015
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2061]
% 202.07/202.29 implies((truth big_V truth) big_V A,A) <->
% 202.07/202.29 implies(truth,implies(implies(A,A),A))
% 202.07/202.29 Current number of equations to process: 3624
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2016
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2062]
% 202.07/202.29 implies(truth,implies(implies(A,A),A)) <->
% 202.07/202.29 implies((truth big_V truth) big_V A,A)
% 202.07/202.29 Current number of equations to process: 3624
% 202.07/202.29 Current number of ordered equations: 0
% 202.07/202.29 Current number of rules: 2017
% 202.07/202.29 New rule produced :
% 202.07/202.29 [2063]
% 202.07/202.29 ((truth big_V truth) big_V A) big_V A <-> implies(implies(implies(A,A),A),A)
% 202.07/202.29 Current number of equations to process: 3623
% 202.07/202.29 Current number of ordered equations: 1
% 202.07/202.29 Current number of rules: 2018
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2064]
% 203.07/203.23 implies(implies(implies(A,A),A),A) <-> ((truth big_V truth) big_V A) big_V A
% 203.07/203.23 Current number of equations to process: 3623
% 203.07/203.23 Current number of ordered equations: 0
% 203.07/203.23 Current number of rules: 2019
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2065] truth <-> implies((truth big_V truth) big_V not(A),truth big_V A)
% 203.07/203.23 Current number of equations to process: 3622
% 203.07/203.23 Current number of ordered equations: 1
% 203.07/203.23 Current number of rules: 2020
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2066] implies((truth big_V truth) big_V not(A),truth big_V A) <-> truth
% 203.07/203.23 Current number of equations to process: 3622
% 203.07/203.23 Current number of ordered equations: 0
% 203.07/203.23 Current number of rules: 2021
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2067]
% 203.07/203.23 implies(A,A) <-> implies(truth,implies(truth,(truth big_V truth) big_V A))
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 5
% 203.07/203.23 Current number of rules: 2022
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2068]
% 203.07/203.23 implies(A,A) <-> implies(truth,implies(truth,truth big_V truth)) big_V A
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 4
% 203.07/203.23 Current number of rules: 2023
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2069]
% 203.07/203.23 implies(A,A) <-> (truth big_V implies(truth,implies(truth,truth))) big_V A
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 3
% 203.07/203.23 Current number of rules: 2024
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2070]
% 203.07/203.23 implies(truth,implies(truth,(truth big_V truth) big_V A)) <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 2
% 203.07/203.23 Current number of rules: 2025
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2071]
% 203.07/203.23 implies(truth,implies(truth,truth big_V truth)) big_V A <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 1
% 203.07/203.23 Current number of rules: 2026
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2072]
% 203.07/203.23 (truth big_V implies(truth,implies(truth,truth))) big_V A <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3618
% 203.07/203.23 Current number of ordered equations: 0
% 203.07/203.23 Current number of rules: 2027
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2073]
% 203.07/203.23 implies(A,A) <-> implies(implies(truth,truth),(truth big_V truth) big_V A)
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 5
% 203.07/203.23 Current number of rules: 2028
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2074]
% 203.07/203.23 implies(A,A) <-> implies(implies(truth,truth),truth big_V truth) big_V A
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 4
% 203.07/203.23 Current number of rules: 2029
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2075]
% 203.07/203.23 implies(A,A) <-> (truth big_V implies(implies(truth,truth),truth)) big_V A
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 3
% 203.07/203.23 Current number of rules: 2030
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2076]
% 203.07/203.23 implies(implies(truth,truth),(truth big_V truth) big_V A) <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 2
% 203.07/203.23 Current number of rules: 2031
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2077]
% 203.07/203.23 implies(implies(truth,truth),truth big_V truth) big_V A <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 1
% 203.07/203.23 Current number of rules: 2032
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2078]
% 203.07/203.23 (truth big_V implies(implies(truth,truth),truth)) big_V A <-> implies(A,A)
% 203.07/203.23 Current number of equations to process: 3615
% 203.07/203.23 Current number of ordered equations: 0
% 203.07/203.23 Current number of rules: 2033
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2079]
% 203.07/203.23 implies(implies(truth,truth),implies(truth,truth)) <->
% 203.07/203.23 implies(truth big_V truth,truth big_V truth)
% 203.07/203.23 Current number of equations to process: 3614
% 203.07/203.23 Current number of ordered equations: 1
% 203.07/203.23 Current number of rules: 2034
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2080]
% 203.07/203.23 implies(truth big_V truth,truth big_V truth) <->
% 203.07/203.23 implies(implies(truth,truth),implies(truth,truth))
% 203.07/203.23 Current number of equations to process: 3614
% 203.07/203.23 Current number of ordered equations: 0
% 203.07/203.23 Current number of rules: 2035
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2081]
% 203.07/203.23 implies(implies(truth,truth),truth big_V truth) <->
% 203.07/203.23 (truth big_V truth) big_V (truth big_V truth)
% 203.07/203.23 Current number of equations to process: 3613
% 203.07/203.23 Current number of ordered equations: 1
% 203.07/203.23 Current number of rules: 2036
% 203.07/203.23 New rule produced :
% 203.07/203.23 [2082]
% 203.07/203.23 (truth big_V truth) big_V (truth big_V truth) <->
% 203.07/203.23 implies(implies(truth,truth),truth big_V truth)
% 203.07/203.23 Current number of equations to process: 3613
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2037
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2083]
% 203.96/204.11 implies(A,A) <-> implies(truth,implies(implies(truth big_V truth,A),A))
% 203.96/204.11 Current number of equations to process: 3609
% 203.96/204.11 Current number of ordered equations: 1
% 203.96/204.11 Current number of rules: 2038
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2084]
% 203.96/204.11 implies(truth,implies(implies(truth big_V truth,A),A)) <-> implies(A,A)
% 203.96/204.11 Current number of equations to process: 3609
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2039
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2085] implies(implies(truth big_V truth,B),B) <-> ifeq(A,A,implies(B,B),C)
% 203.96/204.11 Current number of equations to process: 3608
% 203.96/204.11 Current number of ordered equations: 1
% 203.96/204.11 Current number of rules: 2040
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2086] ifeq(A,A,implies(B,B),C) <-> implies(implies(truth big_V truth,B),B)
% 203.96/204.11 Current number of equations to process: 3608
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2041
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2087] implies(implies(truth big_V truth,B),B) <-> ifeq2(A,A,implies(B,B),C)
% 203.96/204.11 Current number of equations to process: 3607
% 203.96/204.11 Current number of ordered equations: 1
% 203.96/204.11 Current number of rules: 2042
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2088] ifeq2(A,A,implies(B,B),C) <-> implies(implies(truth big_V truth,B),B)
% 203.96/204.11 Current number of equations to process: 3607
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2043
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2089] implies(truth big_V truth,truth big_V truth) big_V A <-> implies(A,A)
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 5
% 203.96/204.11 Current number of rules: 2044
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2090]
% 203.96/204.11 (truth big_V implies(truth big_V truth,truth)) big_V A <-> implies(A,A)
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 4
% 203.96/204.11 Current number of rules: 2045
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2091] implies(A,A) <-> implies(truth big_V truth,truth big_V truth) big_V A
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 3
% 203.96/204.11 Current number of rules: 2046
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2092]
% 203.96/204.11 implies(A,A) <-> (truth big_V implies(truth big_V truth,truth)) big_V A
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 2
% 203.96/204.11 Current number of rules: 2047
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2093]
% 203.96/204.11 implies(A,A) <-> implies(truth big_V truth,(truth big_V truth) big_V A)
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 1
% 203.96/204.11 Current number of rules: 2048
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2094]
% 203.96/204.11 implies(truth big_V truth,(truth big_V truth) big_V A) <-> implies(A,A)
% 203.96/204.11 Current number of equations to process: 3604
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2049
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2095] truth big_V truth <-> implies(truth,implies(truth,ifeq(A,A,truth,B)))
% 203.96/204.11 Current number of equations to process: 3603
% 203.96/204.11 Current number of ordered equations: 1
% 203.96/204.11 Current number of rules: 2050
% 203.96/204.11 New rule produced :
% 203.96/204.11 [2096] implies(truth,implies(truth,ifeq(A,A,truth,B))) <-> truth big_V truth
% 203.96/204.11 Current number of equations to process: 3603
% 203.96/204.11 Current number of ordered equations: 0
% 203.96/204.11 Current number of rules: 2051
% 203.96/204.11 New rule produced :
% 203.96/204.12 [2097] truth big_V truth <-> implies(implies(truth,truth),ifeq(A,A,truth,B))
% 203.96/204.12 Current number of equations to process: 3602
% 203.96/204.12 Current number of ordered equations: 1
% 203.96/204.12 Current number of rules: 2052
% 203.96/204.12 New rule produced :
% 203.96/204.12 [2098] implies(implies(truth,truth),ifeq(A,A,truth,B)) <-> truth big_V truth
% 203.96/204.12 Current number of equations to process: 3602
% 203.96/204.12 Current number of ordered equations: 0
% 203.96/204.12 Current number of rules: 2053
% 203.96/204.12 New rule produced :
% 203.96/204.12 [2099] truth big_V truth <-> implies(truth big_V truth,ifeq(A,A,truth,B))
% 203.96/204.12 Current number of equations to process: 3601
% 203.96/204.12 Current number of ordered equations: 1
% 203.96/204.12 Current number of rules: 2054
% 203.96/204.12 New rule produced :
% 203.96/204.12 [2100] implies(truth big_V truth,ifeq(A,A,truth,B)) <-> truth big_V truth
% 203.96/204.12 Current number of equations to process: 3601
% 203.96/204.12 Current number of ordered equations: 0
% 203.96/204.12 Current number of rules: 2055
% 203.96/204.12 New rule produced :
% 203.96/204.12 [2101] truth big_V truth <-> implies(truth,implies(truth,ifeq2(A,A,truth,B)))
% 203.96/204.12 Current number of equations to process: 3600
% 203.96/204.12 Current number of ordered equations: 1
% 203.96/204.12 Current number of rules: 2056
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2102] implies(truth,implies(truth,ifeq2(A,A,truth,B))) <-> truth big_V truth
% 204.77/204.99 Current number of equations to process: 3600
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2057
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2103] truth big_V truth <-> implies(implies(truth,truth),ifeq2(A,A,truth,B))
% 204.77/204.99 Current number of equations to process: 3599
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2058
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2104] implies(implies(truth,truth),ifeq2(A,A,truth,B)) <-> truth big_V truth
% 204.77/204.99 Current number of equations to process: 3599
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2059
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2105] truth big_V truth <-> implies(truth big_V truth,ifeq2(A,A,truth,B))
% 204.77/204.99 Current number of equations to process: 3598
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2060
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2106] implies(truth big_V truth,ifeq2(A,A,truth,B)) <-> truth big_V truth
% 204.77/204.99 Current number of equations to process: 3598
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2061
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2107]
% 204.77/204.99 implies(A,A) <-> implies(implies(truth,truth big_V truth),truth) big_V A
% 204.77/204.99 Current number of equations to process: 3596
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2062
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2108]
% 204.77/204.99 implies(implies(truth,truth big_V truth),truth) big_V A <-> implies(A,A)
% 204.77/204.99 Current number of equations to process: 3596
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2063
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2109]
% 204.77/204.99 implies(A,A) <-> implies(truth,implies(truth,truth big_V truth) big_V A)
% 204.77/204.99 Current number of equations to process: 3594
% 204.77/204.99 Current number of ordered equations: 3
% 204.77/204.99 Current number of rules: 2064
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2110]
% 204.77/204.99 implies(A,A) <-> implies(implies(truth,truth big_V truth),truth big_V A)
% 204.77/204.99 Current number of equations to process: 3594
% 204.77/204.99 Current number of ordered equations: 2
% 204.77/204.99 Current number of rules: 2065
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2111]
% 204.77/204.99 implies(truth,implies(truth,truth big_V truth) big_V A) <-> implies(A,A)
% 204.77/204.99 Current number of equations to process: 3594
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2066
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2112]
% 204.77/204.99 implies(implies(truth,truth big_V truth),truth big_V A) <-> implies(A,A)
% 204.77/204.99 Current number of equations to process: 3594
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2067
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2113]
% 204.77/204.99 truth big_V A <-> implies(implies(truth,truth big_V truth),implies(A,A))
% 204.77/204.99 Current number of equations to process: 3593
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2068
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2114]
% 204.77/204.99 implies(implies(truth,truth big_V truth),implies(A,A)) <-> truth big_V A
% 204.77/204.99 Current number of equations to process: 3593
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2069
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2115]
% 204.77/204.99 implies(implies(A,implies(truth,truth big_V truth)),truth) <-> implies(A,A)
% 204.77/204.99 Current number of equations to process: 3591
% 204.77/204.99 Current number of ordered equations: 3
% 204.77/204.99 Current number of rules: 2070
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2116]
% 204.77/204.99 implies(A,A) <-> implies(implies(A,implies(truth,truth big_V truth)),truth)
% 204.77/204.99 Current number of equations to process: 3591
% 204.77/204.99 Current number of ordered equations: 2
% 204.77/204.99 Current number of rules: 2071
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2117]
% 204.77/204.99 implies(A,A) <-> implies(implies(A,truth),implies(truth,truth big_V truth))
% 204.77/204.99 Current number of equations to process: 3591
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2072
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2118]
% 204.77/204.99 implies(implies(A,truth),implies(truth,truth big_V truth)) <-> implies(A,A)
% 204.77/204.99 Current number of equations to process: 3591
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2073
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2119] implies(implies(truth,truth big_V truth) big_V A,A) <-> A big_V A
% 204.77/204.99 Current number of equations to process: 3590
% 204.77/204.99 Current number of ordered equations: 1
% 204.77/204.99 Current number of rules: 2074
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2120] A big_V A <-> implies(implies(truth,truth big_V truth) big_V A,A)
% 204.77/204.99 Current number of equations to process: 3590
% 204.77/204.99 Current number of ordered equations: 0
% 204.77/204.99 Current number of rules: 2075
% 204.77/204.99 New rule produced :
% 204.77/204.99 [2121] implies(truth,truth big_V truth) big_V A <-> ifeq(B,B,implies(A,A),C)
% 212.36/212.52 Current number of equations to process: 3589
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2076
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2122] ifeq(B,B,implies(A,A),C) <-> implies(truth,truth big_V truth) big_V A
% 212.36/212.52 Current number of equations to process: 3589
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2077
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2123] implies(truth,truth big_V truth) big_V A <-> ifeq2(B,B,implies(A,A),C)
% 212.36/212.52 Current number of equations to process: 3588
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2078
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2124] ifeq2(B,B,implies(A,A),C) <-> implies(truth,truth big_V truth) big_V A
% 212.36/212.52 Current number of equations to process: 3588
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2079
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2125]
% 212.36/212.52 implies(truth,truth big_V truth) <-> implies(truth big_V not(A),implies(A,A))
% 212.36/212.52 Current number of equations to process: 3587
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2080
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2126]
% 212.36/212.52 implies(truth big_V not(A),implies(A,A)) <-> implies(truth,truth big_V truth)
% 212.36/212.52 Current number of equations to process: 3587
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2081
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2127]
% 212.36/212.52 (truth big_V implies(truth,truth big_V truth)) big_V A <-> implies(A,A)
% 212.36/212.52 Current number of equations to process: 3586
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2082
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2128]
% 212.36/212.52 implies(A,A) <-> (truth big_V implies(truth,truth big_V truth)) big_V A
% 212.36/212.52 Current number of equations to process: 3586
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2083
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2129]
% 212.36/212.52 truth big_V implies(truth big_V truth,truth) <->
% 212.36/212.52 implies(implies(truth,truth big_V truth),truth)
% 212.36/212.52 Current number of equations to process: 3585
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2084
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2130]
% 212.36/212.52 implies(implies(truth,truth big_V truth),truth) <->
% 212.36/212.52 truth big_V implies(truth big_V truth,truth)
% 212.36/212.52 Current number of equations to process: 3585
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2085
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2131]
% 212.36/212.52 implies(truth,true) <->
% 212.36/212.52 ifeq2(truth,truth,ordered(truth,truth big_V truth),true)
% 212.36/212.52 Current number of equations to process: 3584
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2086
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2132]
% 212.36/212.52 ifeq2(truth,truth,ordered(truth,truth big_V truth),true) <->
% 212.36/212.52 implies(truth,true)
% 212.36/212.52 Current number of equations to process: 3584
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2087
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2133]
% 212.36/212.52 implies(truth,truth) <->
% 212.36/212.52 ifeq(ordered(truth,truth big_V truth),true,truth,truth)
% 212.36/212.52 Current number of equations to process: 3583
% 212.36/212.52 Current number of ordered equations: 1
% 212.36/212.52 Current number of rules: 2088
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2134]
% 212.36/212.52 ifeq(ordered(truth,truth big_V truth),true,truth,truth) <->
% 212.36/212.52 implies(truth,truth)
% 212.36/212.52 Current number of equations to process: 3583
% 212.36/212.52 Current number of ordered equations: 0
% 212.36/212.52 Current number of rules: 2089
% 212.36/212.52 New rule produced :
% 212.36/212.52 [2135]
% 212.36/212.52 implies(implies(not(truth big_V truth),not(truth)),truth) <->
% 212.36/212.53 implies(truth,truth)
% 212.36/212.53 Current number of equations to process: 3582
% 212.36/212.53 Current number of ordered equations: 1
% 212.36/212.53 Current number of rules: 2090
% 212.36/212.53 New rule produced :
% 212.36/212.53 [2136]
% 212.36/212.53 implies(truth,truth) <->
% 212.36/212.53 implies(implies(not(truth big_V truth),not(truth)),truth)
% 212.36/212.53 Current number of equations to process: 3582
% 212.36/212.53 Current number of ordered equations: 0
% 212.36/212.53 Current number of rules: 2091
% 212.36/212.53 New rule produced :
% 212.36/212.53 [2137] truth <-> truth big_V (truth big_V (truth big_V truth))
% 212.36/212.53 Current number of equations to process: 3791
% 212.36/212.53 Current number of ordered equations: 1
% 212.36/212.53 Current number of rules: 2092
% 212.36/212.53 New rule produced :
% 212.36/212.53 [2138] truth big_V (truth big_V (truth big_V truth)) <-> truth
% 212.36/212.53 Current number of equations to process: 3791
% 212.36/212.53 Current number of ordered equations: 0
% 212.36/212.53 Current number of rules: 2093
% 212.36/212.53 New rule produced :
% 212.36/212.53 [2139] truth <-> truth big_V (truth big_V implies(truth,truth))
% 212.36/212.53 Current number of equations to process: 3826
% 212.36/212.53 Current number of ordered equations: 3
% 212.36/212.53 Current number of rules: 2094
% 212.36/212.53 New rule producedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------