%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LCL136-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n124.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:27:12 EDT 2014

% Result   : Timeout 300.08s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LCL136-1 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n124.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 01:35:58 CDT 2014
% % CPUTime  : 300.08 
% Processing problem /tmp/CiME_757_n124.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " z,y,x,truth : constant;  not : 1;  implies : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% implies(truth,X) = X;
% implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth;
% implies(implies(X,Y),Y) = implies(implies(Y,X),X);
% implies(implies(not(X),not(Y)),implies(Y,X)) = truth;
% implies(x,y) = implies(y,z);
% ";
% 
% let s1 = status F "
% z lr_lex;
% y lr_lex;
% x lr_lex;
% not lr_lex;
% implies lr_lex;
% truth lr_lex;
% ";
% 
% let p1 = precedence F "
% implies > not > truth > x > y > z";
% 
% let s2 = status F "
% z mul;
% y mul;
% x mul;
% not mul;
% implies mul;
% truth mul;
% ";
% 
% let p2 = precedence F "
% implies > not > truth = x = y = z";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " implies(x,z) = truth;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { implies(truth,X) = X,
% implies(implies(X,Y),implies(implies(Y,Z),
% implies(X,Z))) = truth,
% implies(implies(X,Y),Y) =
% implies(implies(Y,X),X),
% implies(implies(not(X),not(Y)),implies(Y,X)) =
% truth,
% implies(x,y) = implies(y,z) } (5 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { implies(x,z) = truth } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] implies(truth,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced : [2] implies(x,y) -> implies(y,z)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 3
% New rule produced : [4] implies(implies(not(X),not(Y)),implies(Y,X)) -> truth
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) -> truth
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] implies(implies(X,truth),truth) -> implies(X,X)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] implies(implies(y,x),x) -> implies(implies(y,z),y)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] implies(implies(not(X),not(truth)),X) -> truth
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] implies(implies(not(y),not(x)),implies(y,z)) -> truth
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] implies(X,implies(implies(X,Y),Y)) -> truth
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] implies(implies(implies(implies(X,Y),Y),X),truth) -> truth
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] implies(implies(X,truth),implies(Y,implies(X,Y))) -> truth
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] implies(implies(X,not(not(X))),truth) -> truth
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% implies(implies(X,truth),implies(X,truth)) <-> implies(implies(X,X),truth)
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15]
% implies(implies(X,X),truth) <-> implies(implies(X,truth),implies(X,truth))
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] implies(implies(X,not(implies(X,not(truth)))),truth) -> truth
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 16
% Rule [6] implies(implies(X,truth),truth) -> implies(X,X) is composed into 
% [6] implies(implies(X,truth),truth) -> truth
% New rule produced : [17] implies(X,X) -> truth
% Rule
% [14]
% implies(implies(X,truth),implies(X,truth)) <-> implies(implies(X,X),truth)
% collapsed.
% Rule
% [15]
% implies(implies(X,X),truth) <-> implies(implies(X,truth),implies(X,truth))
% collapsed.
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [18] implies(x,implies(implies(y,z),y)) -> truth
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [19] implies(X,implies(implies(Y,X),X)) -> truth
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [20] implies(X,truth) -> truth
% Rule [6] implies(implies(X,truth),truth) -> truth collapsed.
% Rule [11] implies(implies(implies(implies(X,Y),Y),X),truth) -> truth
% collapsed.
% Rule [12] implies(implies(X,truth),implies(Y,implies(X,Y))) -> truth
% collapsed.
% Rule [13] implies(implies(X,not(not(X))),truth) -> truth collapsed.
% Rule [16] implies(implies(X,not(implies(X,not(truth)))),truth) -> truth
% collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [21] implies(Y,implies(X,Y)) -> truth
% Rule [19] implies(X,implies(implies(Y,X),X)) -> truth collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [22] implies(y,implies(y,z)) -> truth
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [23] implies(implies(X,Y),implies(X,implies(Z,Y))) -> truth
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [24] implies(implies(implies(X,Y),Z),implies(Y,Z)) -> truth
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25] implies(implies(X,y),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 46
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [26] implies(implies(implies(y,z),X),implies(y,X)) -> truth
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27] implies(implies(not(truth),not(not(truth))),not(not(truth))) -> truth
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [28] implies(X,implies(Y,implies(Z,X))) -> truth
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [29] implies(y,implies(X,implies(y,z))) -> truth
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30] implies(X,implies(Y,implies(implies(X,Z),Z))) -> truth
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31] implies(x,implies(X,implies(implies(y,z),y))) -> truth
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [32] implies(implies(y,z),implies(x,implies(X,y))) -> truth
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [33] implies(implies(not(X),not(truth)),implies(Y,X)) -> truth
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [34] implies(not(X),implies(X,Y)) -> truth
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [35] implies(not(truth),X) -> truth
% Rule
% [27] implies(implies(not(truth),not(not(truth))),not(not(truth))) -> truth
% collapsed.
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [36] not(not(truth)) -> truth
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [37] implies(not(x),implies(y,z)) -> truth
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [38] implies(X,implies(implies(X,Y),implies(Z,Y))) -> truth
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [39] implies(X,implies(implies(implies(Y,X),Z),Z)) -> truth
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [40] implies(implies(implies(X,x),y),implies(y,z)) -> truth
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [41] implies(implies(not(y),not(truth)),implies(y,z)) -> truth
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [42] implies(y,implies(y,implies(X,z))) -> truth
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [43] implies(y,implies(implies(z,X),implies(y,X))) -> truth
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [44] implies(y,implies(implies(implies(y,z),X),X)) -> truth
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [45] implies(implies(implies(z,y),y),implies(y,z)) -> truth
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [46] implies(X,implies(Y,implies(Z,implies(V_3,X)))) -> truth
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [47] implies(y,implies(X,implies(Y,implies(y,z)))) -> truth
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [48] implies(z,implies(x,implies(X,y))) -> truth
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [49] implies(implies(X,not(truth)),not(truth)) -> X
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [50] implies(not(X),implies(Y,implies(X,Z))) -> truth
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [51] implies(implies(X,not(truth)),implies(X,Y)) -> truth
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [52] implies(not(x),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [53] implies(X,implies(implies(X,y),implies(y,z))) -> truth
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [54] implies(x,implies(implies(y,z),implies(X,y))) -> truth
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [55] implies(y,implies(y,implies(implies(z,X),X))) -> truth
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [56] implies(y,implies(X,implies(y,implies(Y,z)))) -> truth
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [57] implies(y,implies(y,implies(X,implies(Y,z)))) -> truth
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [58] implies(y,implies(implies(implies(z,y),y),z)) -> truth
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [59] implies(not(implies(X,not(truth))),X) -> truth
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [60] implies(X,implies(implies(X,not(truth)),Y)) -> truth
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [61] implies(z,implies(x,implies(implies(y,X),X))) -> truth
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [62] implies(z,implies(X,implies(x,implies(Y,y)))) -> truth
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [63] implies(not(implies(X,not(truth))),implies(Y,X)) -> truth
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [64] implies(implies(x,not(truth)),implies(y,z)) -> truth
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [65] implies(X,implies(not(X),not(truth))) -> truth
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [66] implies(not(implies(y,not(truth))),implies(y,z)) -> truth
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [67] implies(implies(implies(X,Y),Z),implies(not(X),Z)) -> truth
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [68] implies(implies(X,not(Y)),implies(X,implies(Y,Z))) -> truth
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [69] implies(not(implies(X,Y)),implies(implies(Y,X),X)) -> truth
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [70] implies(not(implies(y,x)),implies(implies(y,z),y)) -> truth
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [71] implies(z,implies(x,implies(X,implies(Y,y)))) -> truth
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [72] implies(implies(implies(y,z),X),implies(not(x),X)) -> truth
% Current number of equations to process: 261
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [73] implies(implies(X,not(x)),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [74] implies(not(X),not(truth)) -> X
% Rule [8] implies(implies(not(X),not(truth)),X) -> truth collapsed.
% Rule [33] implies(implies(not(X),not(truth)),implies(Y,X)) -> truth
% collapsed.
% Rule [41] implies(implies(not(y),not(truth)),implies(y,z)) -> truth
% collapsed.
% Rule [65] implies(X,implies(not(X),not(truth))) -> truth collapsed.
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [75] implies(not(X),implies(implies(implies(X,Y),Z),Z)) -> truth
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [76] implies(not(X),implies(Y,implies(Z,implies(X,V_3)))) -> truth
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [77] implies(implies(X,not(truth)),implies(Y,implies(X,Z))) -> truth
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [78] implies(not(x),implies(implies(implies(y,z),X),X)) -> truth
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [79] implies(not(x),implies(X,implies(Y,implies(y,z)))) -> truth
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [80] implies(y,implies(implies(implies(y,z),not(truth)),X)) -> truth
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [81] implies(X,implies(Y,implies(implies(X,not(truth)),Z))) -> truth
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [82] implies(X,implies(implies(implies(Y,X),not(truth)),Z)) -> truth
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [83] implies(y,implies(y,implies(implies(z,not(truth)),X))) -> truth
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [84] implies(z,implies(x,implies(implies(y,not(truth)),X))) -> truth
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [85] implies(implies(x,not(truth)),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [86] implies(not(implies(y,z)),implies(y,X)) -> truth
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [87] implies(not(not(X)),implies(Y,X)) -> truth
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [88] implies(not(not(y)),implies(y,z)) -> truth
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [89] implies(not(implies(X,Y)),implies(Y,Z)) -> truth
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [90] implies(not(y),implies(x,implies(X,y))) -> truth
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [91] implies(not(implies(X,x)),implies(y,z)) -> truth
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [92] implies(not(implies(X,Y)),implies(not(X),Z)) -> truth
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [93] implies(implies(implies(X,Y),Y),implies(not(Y),X)) -> truth
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [94] implies(implies(implies(y,z),y),implies(not(y),x)) -> truth
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [95] implies(not(implies(implies(X,Y),Y)),implies(X,Y)) -> truth
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [96] implies(not(x),implies(y,implies(X,z))) -> truth
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [97] implies(not(implies(y,z)),implies(not(x),X)) -> truth
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [98] implies(not(x),implies(implies(z,X),implies(y,X))) -> truth
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [99] implies(implies(implies(z,y),y),implies(not(x),z)) -> truth
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [100] implies(X,not(truth)) -> not(X)
% Rule [49] implies(implies(X,not(truth)),not(truth)) -> X collapsed.
% Rule [51] implies(implies(X,not(truth)),implies(X,Y)) -> truth collapsed.
% Rule [59] implies(not(implies(X,not(truth))),X) -> truth collapsed.
% Rule [60] implies(X,implies(implies(X,not(truth)),Y)) -> truth collapsed.
% Rule [63] implies(not(implies(X,not(truth))),implies(Y,X)) -> truth
% collapsed.
% Rule [64] implies(implies(x,not(truth)),implies(y,z)) -> truth collapsed.
% Rule [66] implies(not(implies(y,not(truth))),implies(y,z)) -> truth
% collapsed.
% Rule [74] implies(not(X),not(truth)) -> X collapsed.
% Rule [77] implies(implies(X,not(truth)),implies(Y,implies(X,Z))) -> truth
% collapsed.
% Rule [80] implies(y,implies(implies(implies(y,z),not(truth)),X)) -> truth
% collapsed.
% Rule [81] implies(X,implies(Y,implies(implies(X,not(truth)),Z))) -> truth
% collapsed.
% Rule [82] implies(X,implies(implies(implies(Y,X),not(truth)),Z)) -> truth
% collapsed.
% Rule [83] implies(y,implies(y,implies(implies(z,not(truth)),X))) -> truth
% collapsed.
% Rule [84] implies(z,implies(x,implies(implies(y,not(truth)),X))) -> truth
% collapsed.
% Rule [85] implies(implies(x,not(truth)),implies(X,implies(y,z))) -> truth
% collapsed.
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [101] not(not(X)) -> X
% Rule [36] not(not(truth)) -> truth collapsed.
% Rule [87] implies(not(not(X)),implies(Y,X)) -> truth collapsed.
% Rule [88] implies(not(not(y)),implies(y,z)) -> truth collapsed.
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [102] implies(X,implies(not(X),Y)) -> truth
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [103] implies(y,implies(not(implies(y,z)),X)) -> truth
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [104] implies(X,implies(Y,implies(not(X),Z))) -> truth
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [105] implies(X,implies(not(implies(Y,X)),Z)) -> truth
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [106] implies(y,implies(y,implies(not(z),X))) -> truth
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [107] implies(z,implies(x,implies(not(y),X))) -> truth
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [108] implies(not(y),implies(implies(implies(y,z),y),x)) -> truth
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [109] implies(not(X),implies(implies(implies(Y,X),X),Y)) -> truth
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [110] implies(not(x),implies(implies(implies(z,y),y),z)) -> truth
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [111] implies(not(implies(y,z)),implies(X,implies(y,Y))) -> truth
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [112] implies(not(implies(implies(y,z),y)),implies(x,X)) -> truth
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [113] implies(not(implies(implies(X,Y),Y)),implies(X,Z)) -> truth
% Rule [95] implies(not(implies(implies(X,Y),Y)),implies(X,Y)) -> truth
% collapsed.
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [114] implies(not(implies(X,Y)),implies(Z,implies(Y,V_3))) -> truth
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [115] implies(not(y),implies(x,implies(implies(y,X),X))) -> truth
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [116] implies(not(y),implies(X,implies(x,implies(Y,y)))) -> truth
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [117] implies(not(implies(implies(x,X),X)),implies(y,z)) -> truth
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [118] implies(not(implies(X,x)),implies(Y,implies(y,z))) -> truth
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [119] implies(not(implies(X,Y)),implies(not(Y),X)) -> truth
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [120] implies(not(x),implies(y,implies(implies(z,X),X))) -> truth
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [121] implies(not(x),implies(X,implies(y,implies(Y,z)))) -> truth
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [122] implies(not(x),implies(y,implies(X,implies(Y,z)))) -> truth
% Current number of equations to process: 428
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [123] implies(y,implies(not(x),z)) -> truth
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [124] implies(not(implies(z,y)),implies(not(x),z)) -> truth
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [125] implies(not(implies(y,z)),not(y)) -> truth
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [126] implies(not(implies(X,Y)),not(Y)) -> truth
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [127] implies(y,implies(not(z),not(y))) -> truth
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [128] implies(not(implies(X,Y)),X) -> truth
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [129] implies(not(implies(y,z)),x) -> truth
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [130] implies(not(x),implies(not(z),not(y))) -> truth
% Current number of equations to process: 441
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [131] implies(implies(X,Y),implies(not(Y),not(X))) -> truth
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [132] implies(implies(X,not(Y)),implies(Y,not(X))) -> truth
% Current number of equations to process: 444
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [133] implies(implies(not(X),Y),implies(not(Y),X)) -> truth
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [134] implies(not(implies(not(X),Y)),implies(X,Z)) -> truth
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [135] implies(not(X),implies(not(implies(X,Y)),Z)) -> truth
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [136] implies(not(x),implies(not(implies(y,z)),X)) -> truth
% Current number of equations to process: 441
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [137] implies(not(x),implies(y,implies(not(z),X))) -> truth
% Current number of equations to process: 438
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [138] implies(X,implies(Y,implies(Z,implies(not(X),V_3)))) -> truth
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [139] implies(implies(implies(not(X),Y),Z),implies(X,Z)) -> truth
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [140] implies(X,implies(implies(implies(not(X),Y),Z),Z)) -> truth
% Current number of equations to process: 480
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [141] implies(implies(X,Y),implies(X,implies(not(Y),Z))) -> truth
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [142] implies(y,implies(X,implies(not(implies(y,z)),Y))) -> truth
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [143] implies(z,implies(x,implies(not(implies(y,z)),X))) -> truth
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [144] implies(X,implies(Y,implies(not(implies(Z,X)),V_3))) -> truth
% Rule [143] implies(z,implies(x,implies(not(implies(y,z)),X))) -> truth
% collapsed.
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [145] implies(y,implies(y,implies(X,implies(not(z),Y)))) -> truth
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [146] implies(z,implies(x,implies(X,implies(not(y),Y)))) -> truth
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [147] implies(y,implies(not(implies(X,implies(y,z))),Y)) -> truth
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [148] implies(x,implies(not(implies(implies(y,z),y)),X)) -> truth
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [149] implies(X,implies(not(implies(implies(X,Y),Y)),Z)) -> truth
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [150] implies(X,implies(not(implies(Y,implies(Z,X))),V_3)) -> truth
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [151] implies(y,implies(y,implies(not(implies(X,z)),Y))) -> truth
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [152] implies(z,implies(x,implies(not(implies(X,y)),Y))) -> truth
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [153] implies(y,implies(X,implies(y,implies(not(z),Y)))) -> truth
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [154] implies(z,implies(X,implies(x,implies(not(y),Y)))) -> truth
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [155] implies(not(implies(y,z)),implies(X,not(y))) -> truth
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [156] implies(not(implies(implies(y,z),y)),not(x)) -> truth
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [157] implies(not(implies(x,implies(X,y))),implies(z,Y)) -> truth
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [158] implies(not(implies(implies(X,Y),Y)),not(X)) -> truth
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [159] implies(not(implies(X,implies(Y,Z))),implies(Z,V_3)) -> truth
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [160] implies(not(implies(X,implies(y,z))),implies(y,Y)) -> truth
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [161] implies(not(implies(y,implies(X,z))),implies(y,Y)) -> truth
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [162] implies(not(implies(X,Y)),implies(Z,not(Y))) -> truth
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [163] implies(not(y),implies(x,implies(not(y),X))) -> truth
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [164] implies(not(y),implies(x,implies(X,implies(Y,y)))) -> truth
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [165] implies(not(implies(not(x),X)),implies(y,z)) -> truth
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [166] implies(not(implies(X,implies(Y,x))),implies(y,z)) -> truth
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [167] implies(not(implies(X,not(Y))),implies(Y,X)) -> truth
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [168] implies(y,implies(X,implies(not(x),z))) -> truth
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [169] implies(not(implies(not(x),z)),implies(y,X)) -> truth
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [170] implies(not(implies(X,not(Y))),Y) -> truth
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [171] implies(not(implies(X,Y)),implies(Z,X)) -> truth
% Rule [69] implies(not(implies(X,Y)),implies(implies(Y,X),X)) -> truth
% collapsed.
% Rule [70] implies(not(implies(y,x)),implies(implies(y,z),y)) -> truth
% collapsed.
% Rule [119] implies(not(implies(X,Y)),implies(not(Y),X)) -> truth collapsed.
% Rule [124] implies(not(implies(z,y)),implies(not(x),z)) -> truth collapsed.
% Rule [167] implies(not(implies(X,not(Y))),implies(Y,X)) -> truth collapsed.
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [172] implies(not(implies(y,X)),implies(y,z)) -> truth
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [173] implies(not(implies(y,z)),implies(X,x)) -> truth
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [174] implies(y,implies(X,implies(not(z),not(y)))) -> truth
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [175] implies(not(implies(X,implies(Y,Z))),Y) -> truth
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [176] implies(not(implies(x,implies(X,y))),not(z)) -> truth
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [177] implies(Y,X) <-> implies(not(X),not(Y))
% Rule [3] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X) collapsed.
% Rule [7] implies(implies(y,x),x) -> implies(implies(y,z),y) collapsed.
% Rule [9] implies(implies(not(y),not(x)),implies(y,z)) -> truth collapsed.
% Rule [10] implies(X,implies(implies(X,Y),Y)) -> truth collapsed.
% Rule [18] implies(x,implies(implies(y,z),y)) -> truth collapsed.
% Rule [24] implies(implies(implies(X,Y),Z),implies(Y,Z)) -> truth collapsed.
% Rule [26] implies(implies(implies(y,z),X),implies(y,X)) -> truth collapsed.
% Rule [30] implies(X,implies(Y,implies(implies(X,Z),Z))) -> truth collapsed.
% Rule [31] implies(x,implies(X,implies(implies(y,z),y))) -> truth collapsed.
% Rule [39] implies(X,implies(implies(implies(Y,X),Z),Z)) -> truth collapsed.
% Rule [40] implies(implies(implies(X,x),y),implies(y,z)) -> truth collapsed.
% Rule [44] implies(y,implies(implies(implies(y,z),X),X)) -> truth collapsed.
% Rule [45] implies(implies(implies(z,y),y),implies(y,z)) -> truth collapsed.
% Rule [55] implies(y,implies(y,implies(implies(z,X),X))) -> truth collapsed.
% Rule [58] implies(y,implies(implies(implies(z,y),y),z)) -> truth collapsed.
% Rule [61] implies(z,implies(x,implies(implies(y,X),X))) -> truth collapsed.
% Rule [67] implies(implies(implies(X,Y),Z),implies(not(X),Z)) -> truth
% collapsed.
% Rule [72] implies(implies(implies(y,z),X),implies(not(x),X)) -> truth
% collapsed.
% Rule [75] implies(not(X),implies(implies(implies(X,Y),Z),Z)) -> truth
% collapsed.
% Rule [78] implies(not(x),implies(implies(implies(y,z),X),X)) -> truth
% collapsed.
% Rule [93] implies(implies(implies(X,Y),Y),implies(not(Y),X)) -> truth
% collapsed.
% Rule [94] implies(implies(implies(y,z),y),implies(not(y),x)) -> truth
% collapsed.
% Rule [99] implies(implies(implies(z,y),y),implies(not(x),z)) -> truth
% collapsed.
% Rule [108] implies(not(y),implies(implies(implies(y,z),y),x)) -> truth
% collapsed.
% Rule [109] implies(not(X),implies(implies(implies(Y,X),X),Y)) -> truth
% collapsed.
% Rule [110] implies(not(x),implies(implies(implies(z,y),y),z)) -> truth
% collapsed.
% Rule [112] implies(not(implies(implies(y,z),y)),implies(x,X)) -> truth
% collapsed.
% Rule [113] implies(not(implies(implies(X,Y),Y)),implies(X,Z)) -> truth
% collapsed.
% Rule [115] implies(not(y),implies(x,implies(implies(y,X),X))) -> truth
% collapsed.
% Rule [117] implies(not(implies(implies(x,X),X)),implies(y,z)) -> truth
% collapsed.
% Rule [120] implies(not(x),implies(y,implies(implies(z,X),X))) -> truth
% collapsed.
% Rule [123] implies(y,implies(not(x),z)) -> truth collapsed.
% Rule [125] implies(not(implies(y,z)),not(y)) -> truth collapsed.
% Rule [126] implies(not(implies(X,Y)),not(Y)) -> truth collapsed.
% Rule [128] implies(not(implies(X,Y)),X) -> truth collapsed.
% Rule [129] implies(not(implies(y,z)),x) -> truth collapsed.
% Rule [139] implies(implies(implies(not(X),Y),Z),implies(X,Z)) -> truth
% collapsed.
% Rule [140] implies(X,implies(implies(implies(not(X),Y),Z),Z)) -> truth
% collapsed.
% Rule [148] implies(x,implies(not(implies(implies(y,z),y)),X)) -> truth
% collapsed.
% Rule [149] implies(X,implies(not(implies(implies(X,Y),Y)),Z)) -> truth
% collapsed.
% Rule [156] implies(not(implies(implies(y,z),y)),not(x)) -> truth collapsed.
% Rule [158] implies(not(implies(implies(X,Y),Y)),not(X)) -> truth collapsed.
% Rule [165] implies(not(implies(not(x),X)),implies(y,z)) -> truth collapsed.
% Rule [168] implies(y,implies(X,implies(not(x),z))) -> truth collapsed.
% Rule [169] implies(not(implies(not(x),z)),implies(y,X)) -> truth collapsed.
% Rule [170] implies(not(implies(X,not(Y))),Y) -> truth collapsed.
% Rule [175] implies(not(implies(X,implies(Y,Z))),Y) -> truth collapsed.
% Rule [176] implies(not(implies(x,implies(X,y))),not(z)) -> truth collapsed.
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [178] implies(not(X),not(implies(Y,X))) <-> implies(not(Y),not(implies(X,Y)))
% Current number of equations to process: 690
% Current number of ordered equations: 4
% Current number of rules: 92
% New rule produced : [179] implies(y,implies(not(z),x)) -> truth
% Current number of equations to process: 690
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced :
% [180] implies(X,implies(not(Y),not(implies(X,Y)))) -> truth
% Current number of equations to process: 690
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced :
% [181] implies(x,implies(not(y),not(implies(y,z)))) -> truth
% Current number of equations to process: 690
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [182] implies(implies(y,z),implies(not(y),not(x))) -> truth
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [183] implies(X,implies(not(implies(not(X),Y)),Z)) -> truth
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [184] implies(implies(X,y),implies(X,implies(not(z),x))) -> truth
% Current number of equations to process: 710
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [185] implies(not(implies(y,X)),not(implies(implies(not(z),x),X))) -> truth
% Current number of equations to process: 710
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [186] implies(y,implies(X,implies(not(z),x))) -> truth
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [187] implies(not(implies(not(z),not(y))),implies(y,X)) -> truth
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [188] implies(implies(X,Y),implies(not(implies(X,Z)),Y)) -> truth
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [189] implies(not(implies(X,Y)),not(implies(X,not(implies(Y,Z))))) -> truth
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [190] implies(implies(x,X),implies(not(implies(y,z)),X)) -> truth
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [191] implies(not(implies(X,x)),not(implies(X,not(implies(y,z))))) -> truth
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [192] implies(not(x),implies(X,implies(not(z),not(y)))) -> truth
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [193] implies(not(implies(X,implies(y,Y))),implies(y,z)) -> truth
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [194] implies(not(implies(X,implies(Y,Z))),implies(V_3,Y)) -> truth
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [195] implies(not(implies(X,implies(y,z))),implies(Y,x)) -> truth
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [196] implies(implies(y,z),implies(x,implies(not(y),X))) -> truth
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [197] implies(y,implies(not(implies(y,implies(X,z))),Y)) -> truth
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [198] implies(z,implies(not(implies(x,implies(X,y))),Y)) -> truth
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [199] implies(y,implies(not(implies(not(z),not(y))),X)) -> truth
% Current number of equations to process: 757
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [200] implies(not(implies(X,not(y))),implies(y,z)) -> truth
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [201] implies(not(implies(z,X)),implies(x,implies(Y,y))) -> truth
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [202] implies(not(implies(X,Y)),implies(Z,implies(V_3,X))) -> truth
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [203] implies(not(implies(y,X)),implies(Y,implies(y,z))) -> truth
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [204] implies(not(implies(X,not(Y))),implies(Z,Y)) -> truth
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [205] implies(not(implies(y,X)),implies(y,implies(Y,z))) -> truth
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [206] implies(not(y),not(x)) -> implies(y,z)
% Rule [182] implies(implies(y,z),implies(not(y),not(x))) -> truth collapsed.
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [207] implies(not(implies(y,z)),implies(X,implies(Y,x))) -> truth
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [208] implies(implies(x,not(X)),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [209] implies(implies(X,not(Y)),implies(Y,implies(X,Z))) -> truth
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [210] implies(not(implies(X,x)),implies(not(z),not(y))) -> truth
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [211] implies(not(implies(y,X)),implies(not(z),not(y))) -> truth
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [212] implies(not(implies(not(z),not(y))),implies(X,x)) -> truth
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [213] implies(X,not(Y)) <-> implies(Y,not(X))
% Rule [127] implies(y,implies(not(z),not(y))) -> truth collapsed.
% Rule [130] implies(not(x),implies(not(z),not(y))) -> truth collapsed.
% Rule [174] implies(y,implies(X,implies(not(z),not(y)))) -> truth collapsed.
% Rule [187] implies(not(implies(not(z),not(y))),implies(y,X)) -> truth
% collapsed.
% Rule [192] implies(not(x),implies(X,implies(not(z),not(y)))) -> truth
% collapsed.
% Rule [199] implies(y,implies(not(implies(not(z),not(y))),X)) -> truth
% collapsed.
% Rule [206] implies(not(y),not(x)) -> implies(y,z) collapsed.
% Rule [210] implies(not(implies(X,x)),implies(not(z),not(y))) -> truth
% collapsed.
% Rule [211] implies(not(implies(y,X)),implies(not(z),not(y))) -> truth
% collapsed.
% Rule [212] implies(not(implies(not(z),not(y))),implies(X,x)) -> truth
% collapsed.
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [214] implies(not(X),Y) <-> implies(not(Y),X)
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [215] implies(y,implies(not(implies(not(z),x)),X)) -> truth
% Current number of equations to process: 1066
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [216] implies(X,implies(Y,not(implies(X,not(Y))))) -> truth
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [217] implies(X,not(implies(X,not(implies(X,Y))))) -> implies(X,Y)
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [218] implies(x,not(implies(x,not(implies(y,z))))) -> implies(y,z)
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [219] implies(y,implies(not(z),implies(X,x))) -> truth
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [220] implies(y,implies(not(z),implies(not(x),X))) -> truth
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [221] implies(y,implies(implies(x,X),implies(not(z),X))) -> truth
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [222] implies(y,implies(X,implies(Y,implies(not(z),x)))) -> truth
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [223] implies(implies(y,z),implies(not(y),implies(x,X))) -> truth
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [224] implies(not(implies(y,X)),implies(not(z),x)) -> truth
% Current number of equations to process: 1188
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [225] implies(implies(X,Y),implies(not(Y),implies(X,Z))) -> truth
% Current number of equations to process: 1196
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [226] implies(implies(x,X),implies(not(X),implies(y,z))) -> truth
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [227] implies(X,implies(Y,not(implies(Y,not(X))))) -> truth
% Current number of equations to process: 1469
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [228] implies(not(X),implies(Y,not(implies(Y,X)))) -> truth
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [229] implies(X,implies(implies(X,Y),implies(not(Y),Z))) -> truth
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [230] implies(x,implies(implies(y,z),implies(not(y),X))) -> truth
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [231] implies(y,implies(X,implies(not(z),implies(Y,x)))) -> truth
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [232] implies(y,implies(not(z),implies(X,implies(Y,x)))) -> truth
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [233] implies(y,implies(implies(x,X),implies(not(X),z))) -> truth
% Current number of equations to process: 1546
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [234] implies(y,implies(implies(x,not(X)),implies(X,z))) -> truth
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [235] implies(not(implies(not(z),x)),implies(y,X)) -> truth
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [236] implies(not(implies(X,not(y))),implies(not(z),x)) -> truth
% Current number of equations to process: 1598
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [237] implies(y,implies(not(x),implies(not(z),X))) -> truth
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [238] implies(not(y),implies(x,not(implies(y,z)))) -> truth
% Current number of equations to process: 1706
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [239] implies(X,implies(implies(X,not(Y)),implies(Y,Z))) -> truth
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [240] implies(not(implies(not(z),x)),implies(X,not(y))) -> truth
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [241] implies(y,implies(not(x),implies(not(X),z))) -> truth
% Current number of equations to process: 1910
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [242] implies(y,implies(not(x),implies(X,z))) -> truth
% Rule [241] implies(y,implies(not(x),implies(not(X),z))) -> truth collapsed.
% Current number of equations to process: 1913
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [243] implies(X,implies(implies(X,not(x)),implies(y,z))) -> truth
% Current number of equations to process: 1924
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [244] implies(X,implies(implies(Y,not(X)),implies(Y,Z))) -> truth
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [245] implies(not(X),implies(implies(Y,X),implies(Y,Z))) -> truth
% Current number of equations to process: 1940
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [246] implies(y,implies(X,implies(not(x),implies(Y,z)))) -> truth
% Current number of equations to process: 1954
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [247] implies(not(y),implies(implies(y,z),implies(x,X))) -> truth
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [248] implies(implies(y,z),implies(implies(y,X),implies(x,X))) -> truth
% Current number of equations to process: 2140
% Current number of ordered equations: 2
% Current number of rules: 150
% New rule produced :
% [249] implies(implies(X,x),implies(implies(y,z),implies(X,y))) -> truth
% Current number of equations to process: 2140
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [250] implies(implies(x,X),implies(implies(X,y),implies(y,z))) -> truth
% Current number of equations to process: 2140
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [251]
% implies(implies(X,Y),implies(not(Y),not(implies(not(X),not(implies(Y,X))))))
% -> truth
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [252]
% implies(implies(X,Y),implies(X,implies(not(Z),not(implies(Y,Z))))) -> truth
% Current number of equations to process: 2294
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [253]
% implies(not(implies(X,Z)),not(implies(implies(not(Y),not(implies(X,Y))),Z)))
% -> truth
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [254] implies(X,implies(not(Y),implies(implies(X,Y),Z))) -> truth
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [255] implies(x,implies(not(y),implies(implies(y,z),X))) -> truth
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [256] implies(X,implies(Y,implies(implies(X,not(Y)),Z))) -> truth
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [257] implies(X,implies(Y,implies(implies(Y,not(X)),Z))) -> truth
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [258] implies(not(X),implies(Y,implies(implies(Y,X),Z))) -> truth
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [259] implies(not(y),implies(x,implies(implies(y,z),X))) -> truth
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [260]
% implies(not(implies(x,X)),not(implies(implies(not(y),not(implies(y,z))),X)))
% -> truth
% Current number of equations to process: 3072
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [261]
% implies(implies(X,x),implies(X,implies(not(y),not(implies(y,z))))) -> truth
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [262] implies(not(implies(Y,Z)),not(implies(implies(X,Y),Z))) -> truth
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [263] implies(z,implies(not(y),implies(x,X))) -> truth
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [264] implies(z,implies(implies(y,X),implies(x,X))) -> truth
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [265] implies(z,implies(not(y),implies(X,not(x)))) -> truth
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [266] implies(z,implies(X,implies(not(y),implies(x,Y)))) -> truth
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [267] implies(not(implies(y,X)),not(implies(implies(y,z),X))) -> truth
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [268] implies(y,implies(not(z),implies(y,X))) -> truth
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [269] implies(y,implies(not(z),implies(X,not(y)))) -> truth
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [270] implies(y,implies(X,implies(not(z),implies(y,Y)))) -> truth
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [271] implies(implies(X,Y),implies(Z,implies(X,implies(V_3,Y)))) -> truth
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [272] implies(X,implies(Y,implies(not(Z),not(implies(X,Z))))) -> truth
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [273] implies(x,implies(X,implies(not(y),not(implies(y,z))))) -> truth
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [274] implies(implies(not(X),not(Y)),implies(Z,implies(Y,X))) -> truth
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [275] implies(X,implies(not(Z),not(implies(implies(Y,X),Z)))) -> truth
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [276] implies(implies(implies(X,Y),Z),implies(V_3,implies(Y,Z))) -> truth
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [277] implies(implies(X,y),implies(Y,implies(X,implies(y,z)))) -> truth
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [278] implies(y,implies(not(X),not(implies(implies(y,z),X)))) -> truth
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [279] implies(implies(implies(y,z),X),implies(Y,implies(y,X))) -> truth
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [280]
% implies(not(implies(Z,V_3)),not(implies(implies(X,implies(Y,Z)),V_3))) ->
% truth
% Current number of equations to process: 3762
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [281] implies(implies(X,Y),implies(X,implies(Z,implies(V_3,Y)))) -> truth
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [282] implies(implies(X,y),implies(X,implies(Y,implies(y,z)))) -> truth
% Current number of equations to process: 4010
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [283]
% implies(not(implies(y,Y)),not(implies(implies(X,implies(y,z)),Y))) -> truth
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [284]
% implies(X,implies(not(Z),not(implies(implies(not(Y),not(implies(X,Y))),Z))))
% -> truth
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [285]
% implies(X,implies(Y,implies(Z,implies(not(V_3),not(implies(X,V_3)))))) ->
% truth
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [286]
% implies(X,implies(Y,implies(not(V_3),not(implies(implies(Z,X),V_3))))) ->
% truth
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [287]
% implies(y,implies(X,implies(not(Y),not(implies(implies(y,z),Y))))) -> truth
% Current number of equations to process: 4402
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [288]
% implies(x,implies(not(X),not(implies(implies(not(y),not(implies(y,z))),X))))
% -> truth
% Current number of equations to process: 4427
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [289]
% implies(x,implies(X,implies(Y,implies(not(y),not(implies(y,z)))))) -> truth
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [290]
% implies(implies(y,z),implies(x,implies(not(X),not(implies(y,X))))) -> truth
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [291] implies(implies(y,z),implies(X,implies(x,implies(Y,y)))) -> truth
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [292] implies(X,implies(Y,implies(implies(X,Z),implies(V_3,Z)))) -> truth
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [293] implies(y,implies(implies(implies(y,z),X),implies(Y,X))) -> truth
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [294]
% implies(X,implies(implies(X,Y),implies(not(Z),not(implies(Y,Z))))) -> truth
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [295]
% implies(X,implies(implies(X,x),implies(not(y),not(implies(y,z))))) -> truth
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [296] implies(X,implies(implies(implies(Y,X),Z),implies(V_3,Z))) -> truth
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [297]
% implies(X,implies(not(V_3),not(implies(implies(Y,implies(Z,X)),V_3)))) ->
% truth
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [298]
% implies(y,implies(not(Y),not(implies(implies(X,implies(y,z)),Y)))) -> truth
% Current number of equations to process: 1809
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [299]
% implies(not(implies(y,z)),not(implies(not(y),not(implies(not(X),not(implies(x,X)))))))
% -> truth
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [300]
% implies(implies(not(y),not(implies(X,x))),implies(Y,implies(y,z))) -> truth
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [301] implies(implies(X,y),implies(X,implies(y,implies(Y,z)))) -> truth
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [302]
% implies(not(implies(y,Y)),not(implies(implies(y,implies(X,z)),Y))) -> truth
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [303] implies(y,implies(not(implies(y,X)),implies(Y,z))) -> truth
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [304] implies(y,implies(not(implies(X,z)),implies(y,Y))) -> truth
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [305] implies(y,implies(y,implies(not(X),not(implies(z,X))))) -> truth
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [306]
% implies(y,implies(y,implies(X,implies(not(Y),not(implies(z,Y)))))) -> truth
% Current number of equations to process: 1991
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [307] implies(y,implies(X,implies(implies(z,Y),implies(y,Y)))) -> truth
% Current number of equations to process: 2022
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [308] implies(y,implies(y,implies(implies(z,X),implies(Y,X)))) -> truth
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [309]
% implies(y,implies(y,implies(not(Y),not(implies(implies(X,z),Y))))) -> truth
% Current number of equations to process: 2125
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [310]
% implies(implies(not(z),not(implies(y,z))),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [311] implies(y,implies(X,implies(Y,implies(Z,implies(y,z))))) -> truth
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [312] implies(X,implies(Y,implies(Z,implies(V_3,implies(V_4,X))))) -> truth
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [313] implies(y,implies(y,implies(X,implies(Y,implies(Z,z))))) -> truth
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [314] implies(implies(X,z),implies(X,implies(x,implies(Y,y)))) -> truth
% Current number of equations to process: 2246
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [315]
% implies(not(implies(z,Y)),not(implies(implies(x,implies(X,y)),Y))) -> truth
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [316] implies(z,implies(not(implies(x,X)),implies(Y,y))) -> truth
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [317] implies(z,implies(not(implies(X,y)),implies(x,Y))) -> truth
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [318] implies(z,implies(x,implies(not(X),not(implies(y,X))))) -> truth
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [319] implies(X,implies(Y,implies(implies(X,y),implies(y,z)))) -> truth
% Current number of equations to process: 2366
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [320]
% implies(X,implies(not(implies(y,z)),not(implies(not(y),not(implies(Y,X))))))
% -> truth
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [321]
% implies(x,implies(implies(y,z),implies(not(X),not(implies(y,X))))) -> truth
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [322] implies(x,implies(X,implies(implies(y,z),implies(Y,y)))) -> truth
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [323]
% implies(y,implies(X,implies(y,implies(not(Y),not(implies(z,Y)))))) -> truth
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [324]
% implies(y,implies(not(Y),not(implies(implies(y,implies(X,z)),Y)))) -> truth
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [325] implies(y,implies(X,implies(Y,implies(y,implies(Z,z))))) -> truth
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [326] implies(y,implies(X,implies(y,implies(Y,implies(Z,z))))) -> truth
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [327]
% implies(y,implies(X,implies(not(z),not(implies(not(z),not(implies(y,z)))))))
% -> truth
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [328]
% implies(z,implies(x,implies(X,implies(not(Y),not(implies(y,Y)))))) -> truth
% Current number of equations to process: 2542
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [329]
% implies(z,implies(X,implies(x,implies(not(Y),not(implies(y,Y)))))) -> truth
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [330] implies(z,implies(x,implies(implies(y,X),implies(Y,X)))) -> truth
% Current number of equations to process: 2612
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [331]
% implies(z,implies(x,implies(not(Y),not(implies(implies(X,y),Y))))) -> truth
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [332] implies(z,implies(x,implies(X,implies(Y,implies(Z,y))))) -> truth
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [333]
% implies(z,implies(not(Y),not(implies(implies(x,implies(X,y)),Y)))) -> truth
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [334] implies(z,implies(X,implies(Y,implies(x,implies(Z,y))))) -> truth
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [335] implies(z,implies(X,implies(x,implies(Y,implies(Z,y))))) -> truth
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [336] implies(not(implies(X,Y)),implies(Z,implies(not(X),V_3))) -> truth
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [337] implies(not(implies(y,z)),implies(X,implies(not(x),Y))) -> truth
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [338] implies(not(X),implies(Y,implies(not(implies(X,Z)),V_3))) -> truth
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [339] implies(not(x),implies(X,implies(not(implies(y,z)),Y))) -> truth
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [340] implies(not(x),implies(y,implies(X,implies(not(z),Y)))) -> truth
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [341] implies(not(X),implies(not(implies(Y,implies(X,Z))),V_3)) -> truth
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [342] implies(not(x),implies(not(implies(X,implies(y,z))),Y)) -> truth
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [343] implies(not(x),implies(y,implies(not(implies(X,z)),Y))) -> truth
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [344]
% implies(X,implies(not(Y),not(implies(X,not(implies(Y,not(X))))))) -> truth
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [345] implies(not(implies(y,X)),implies(not(implies(y,z)),Y)) -> truth
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [346] implies(not(implies(X,implies(Y,Z))),implies(not(Y),V_3)) -> truth
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [347] implies(not(implies(X,implies(y,z))),implies(not(x),Y)) -> truth
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [348] implies(not(implies(X,Y)),implies(not(implies(Z,X)),V_3)) -> truth
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [349] implies(not(implies(x,implies(X,y))),implies(not(y),Y)) -> truth
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [350] implies(not(implies(x,implies(X,y))),implies(Y,y)) -> truth
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [351] implies(not(implies(X,y)),implies(x,implies(Y,y))) -> truth
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [352] implies(not(implies(y,z)),implies(not(implies(X,x)),Y)) -> truth
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [353] implies(not(implies(y,implies(X,z))),implies(not(x),Y)) -> truth
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [354] implies(not(implies(y,implies(X,z))),implies(Y,x)) -> truth
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [355] implies(not(implies(X,x)),implies(y,implies(Y,z))) -> truth
% Current number of equations to process: 3128
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [356] implies(not(implies(not(implies(y,z)),X)),implies(y,Y)) -> truth
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [357] implies(not(implies(X,implies(not(Y),Z))),implies(Y,V_3)) -> truth
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [358] implies(not(implies(not(implies(X,Y)),Z)),implies(Y,V_3)) -> truth
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [359] implies(not(implies(y,implies(not(z),X))),implies(y,Y)) -> truth
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [360] implies(not(implies(x,implies(not(y),X))),implies(z,Y)) -> truth
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [361] implies(not(y),implies(x,implies(X,implies(not(y),Y)))) -> truth
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [362] implies(not(y),implies(x,implies(not(implies(X,y)),Y))) -> truth
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [363]
% implies(not(implies(X,not(y))),not(implies(X,not(implies(y,z))))) -> truth
% Current number of equations to process: 3269
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [364] implies(implies(not(y),X),implies(not(implies(y,z)),X)) -> truth
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [365] implies(implies(not(X),Y),implies(not(implies(Z,X)),Y)) -> truth
% Current number of equations to process: 3338
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [366]
% implies(not(implies(X,not(Z))),not(implies(X,not(implies(Y,Z))))) -> truth
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [367] implies(implies(X,Y),not(implies(X,not(implies(X,Y))))) -> X
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [368] implies(implies(implies(X,Y),not(Z)),implies(Z,X)) -> truth
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [369] implies(implies(implies(X,Y),Z),implies(not(Z),X)) -> truth
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [370] implies(x,implies(not(y),y)) -> truth
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [371] implies(implies(implies(y,z),not(X)),implies(X,x)) -> truth
% Current number of equations to process: 3548
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [372] implies(implies(implies(y,z),X),implies(not(X),x)) -> truth
% Current number of equations to process: 3576
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [373] implies(x,implies(X,implies(not(y),y))) -> truth
% Current number of equations to process: 3605
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [374] implies(x,implies(not(implies(not(y),y)),X)) -> truth
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [375] implies(not(implies(x,X)),implies(not(y),y)) -> truth
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [376] implies(not(implies(not(y),y)),implies(x,X)) -> truth
% Current number of equations to process: 3613
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [377] implies(implies(X,x),implies(X,implies(not(y),y))) -> truth
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [378] implies(x,implies(X,implies(Y,implies(not(y),y)))) -> truth
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [379] implies(not(implies(X,not(x))),implies(not(y),y)) -> truth
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [380] implies(not(implies(not(y),y)),implies(X,not(x))) -> truth
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [381] implies(implies(y,z),not(implies(x,not(implies(y,z))))) -> x
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [382] implies(not(z),implies(y,x)) -> truth
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced : [383] implies(not(z),implies(X,implies(y,x))) -> truth
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [384] implies(not(implies(X,z)),implies(y,x)) -> truth
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [385] implies(not(z),implies(not(implies(y,x)),X)) -> truth
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [386] implies(not(implies(y,x)),implies(not(z),X)) -> truth
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [387] implies(not(implies(y,x)),implies(X,z)) -> truth
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [388] implies(implies(X,not(z)),implies(X,implies(y,x))) -> truth
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [389] implies(z,not(implies(z,not(implies(y,x))))) -> implies(y,x)
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [390] implies(not(z),implies(X,implies(Y,implies(y,x)))) -> truth
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [391] implies(not(implies(X,z)),implies(Y,implies(y,x))) -> truth
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [392] implies(not(implies(X,implies(Y,z))),implies(y,x)) -> truth
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [393] implies(not(implies(y,x)),implies(X,implies(Y,z))) -> truth
% Current number of equations to process: 3896
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [394] implies(not(implies(X,implies(y,x))),implies(Y,z)) -> truth
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [395] implies(implies(z,not(X)),implies(X,implies(y,x))) -> truth
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [396] implies(implies(z,X),implies(not(implies(y,x)),X)) -> truth
% Current number of equations to process: 3925
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [397] implies(implies(z,X),implies(not(X),implies(y,x))) -> truth
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [398] implies(X,implies(implies(X,not(z)),implies(y,x))) -> truth
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [399] implies(X,implies(implies(z,not(X)),implies(y,x))) -> truth
% Current number of equations to process: 3922
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [400] implies(not(X),implies(implies(z,X),implies(y,x))) -> truth
% Current number of equations to process: 3921
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [401] implies(implies(implies(y,x),not(X)),implies(X,z)) -> truth
% Current number of equations to process: 3952
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [402] implies(implies(implies(y,x),X),implies(not(X),z)) -> truth
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced : [403] implies(not(z),implies(y,implies(X,x))) -> truth
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [404] implies(not(z),implies(y,implies(not(x),X))) -> truth
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [405] implies(not(z),implies(X,implies(y,implies(Y,x)))) -> truth
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [406] implies(not(implies(X,z)),implies(y,implies(Y,x))) -> truth
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [407] implies(not(implies(y,implies(X,x))),implies(Y,z)) -> truth
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [408]
% implies(not(implies(y,z)),not(implies(not(y),not(implies(X,x))))) -> truth
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [409]
% implies(y,implies(not(z),not(implies(not(z),not(implies(y,z)))))) -> truth
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [410] implies(not(implies(X,Y)),not(implies(not(Y),not(X)))) -> truth
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [411] implies(implies(X,Y),implies(Z,implies(not(Y),not(X)))) -> truth
% Current number of equations to process: 4379
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [412] implies(not(implies(not(X),not(Y))),not(implies(Y,X))) -> truth
% Current number of equations to process: 4422
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [413] implies(implies(X,not(Y)),implies(Z,implies(Y,not(X)))) -> truth
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [414] implies(not(implies(X,not(Y))),not(implies(Y,not(X)))) -> truth
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [415] implies(implies(not(X),Y),implies(Z,implies(not(Y),X))) -> truth
% Current number of equations to process: 4484
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [416] implies(not(implies(not(X),Y)),not(implies(not(Y),X))) -> truth
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [417] implies(not(implies(not(X),Y)),implies(Z,implies(X,V_3))) -> truth
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [418] implies(not(x),implies(X,implies(y,implies(not(z),Y)))) -> truth
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [419] implies(not(implies(y,z)),implies(not(implies(y,X)),Y)) -> truth
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [420] implies(not(implies(X,Y)),implies(not(implies(Y,Z)),V_3)) -> truth
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [421] implies(not(y),implies(not(implies(x,implies(X,y))),Y)) -> truth
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [422] implies(not(implies(X,x)),implies(not(implies(y,z)),Y)) -> truth
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [423] implies(not(x),implies(not(implies(y,implies(X,z))),Y)) -> truth
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [424] implies(y,implies(not(implies(not(implies(y,z)),X)),Y)) -> truth
% Current number of equations to process: 4664
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [425] implies(X,implies(not(implies(Y,implies(not(X),Z))),V_3)) -> truth
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [426] implies(X,implies(not(implies(not(implies(Y,X)),Z)),V_3)) -> truth
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [427] implies(y,implies(not(implies(y,implies(not(z),X))),Y)) -> truth
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [428] implies(z,implies(not(implies(x,implies(not(y),X))),Y)) -> truth
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [429] implies(not(implies(y,z)),implies(X,implies(Y,not(y)))) -> truth
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [430] implies(not(implies(X,Y)),implies(Z,implies(V_3,not(Y)))) -> truth
% Current number of equations to process: 4823
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [431] implies(not(y),implies(X,implies(x,implies(not(y),Y)))) -> truth
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [432] implies(x,implies(not(implies(X,y)),not(implies(y,z)))) -> truth
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [433] implies(X,implies(implies(not(Y),not(X)),implies(Z,Y))) -> truth
% Current number of equations to process: 4865
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [434] implies(X,implies(not(implies(Y,Z)),not(implies(X,Z)))) -> truth
% Current number of equations to process: 4865
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [435] implies(implies(X,y),implies(not(implies(y,z)),not(X))) -> truth
% Current number of equations to process: 2298
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [436] implies(implies(not(y),not(X)),implies(X,implies(y,z))) -> truth
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [437] implies(implies(X,Y),implies(not(implies(Z,Y)),not(X))) -> truth
% Current number of equations to process: 2343
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [438] implies(implies(not(X),not(Y)),implies(Y,implies(Z,X))) -> truth
% Current number of equations to process: 2343
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [439] implies(X,implies(not(implies(y,z)),not(implies(X,y)))) -> truth
% Current number of equations to process: 2469
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [440]
% implies(X,not(implies(Y,not(X)))) <-> implies(not(Y),not(implies(not(X),Y)))
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [441]
% implies(not(Y),not(implies(not(X),Y))) <-> implies(X,not(implies(Y,not(X))))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [442] implies(Y,not(implies(not(X),not(Y)))) -> implies(X,not(implies(X,Y)))
% Current number of equations to process: 2526
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [443] implies(X,not(implies(X,Y))) <-> implies(Y,not(implies(Y,X)))
% Current number of equations to process: 2659
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [444] implies(x,not(implies(y,z))) -> implies(y,not(implies(y,x)))
% Rule [218] implies(x,not(implies(x,not(implies(y,z))))) -> implies(y,z)
% collapsed.
% Rule [238] implies(not(y),implies(x,not(implies(y,z)))) -> truth collapsed.
% Rule [381] implies(implies(y,z),not(implies(x,not(implies(y,z))))) -> x
% collapsed.
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [445] implies(x,not(implies(y,not(implies(y,x))))) -> implies(y,z)
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [446] implies(X,not(implies(Y,not(implies(Y,X))))) -> implies(X,Y)
% Rule [445] implies(x,not(implies(y,not(implies(y,x))))) -> implies(y,z)
% collapsed.
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [447] implies(implies(z,not(implies(z,y))),implies(y,x)) -> truth
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [448] implies(implies(y,z),not(implies(y,not(implies(y,x))))) -> x
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [449] implies(X,implies(Y,implies(not(implies(not(X),Z)),V_3))) -> truth
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [450] implies(y,implies(y,implies(not(implies(not(z),X)),Y))) -> truth
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [451] implies(y,implies(X,implies(not(implies(not(z),x)),Y))) -> truth
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [452] implies(y,implies(not(implies(X,implies(not(z),x))),Y)) -> truth
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [453] implies(not(implies(z,X)),implies(x,implies(not(y),Y))) -> truth
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [454] implies(not(implies(not(x),X)),implies(Y,implies(y,z))) -> truth
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [455] implies(not(implies(not(y),X)),implies(x,implies(Y,y))) -> truth
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [456] implies(not(implies(not(x),X)),implies(y,implies(Y,z))) -> truth
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [457] implies(not(implies(y,X)),implies(y,implies(not(z),Y))) -> truth
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [458] implies(not(implies(not(implies(X,Y)),Z)),implies(V_3,X)) -> truth
% Current number of equations to process: 3929
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [459] implies(not(implies(not(implies(y,z)),X)),implies(Y,x)) -> truth
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [460] implies(not(implies(y,X)),implies(Y,implies(not(z),x))) -> truth
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [461] implies(not(implies(X,not(y))),implies(Y,implies(y,z))) -> truth
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [462] implies(not(implies(X,not(Y))),implies(Z,implies(V_3,Y))) -> truth
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [463] implies(not(implies(X,not(y))),implies(y,implies(Y,z))) -> truth
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [464] implies(implies(X,not(Y)),implies(Y,implies(Z,not(X)))) -> truth
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [465] implies(not(implies(x,implies(X,y))),implies(Y,not(z))) -> truth
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [466] implies(y,implies(implies(X,not(z)),implies(y,not(X)))) -> truth
% Current number of equations to process: 4159
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [467] implies(y,implies(implies(z,not(X)),implies(X,not(y)))) -> truth
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [468] implies(X,implies(implies(Y,not(X)),implies(Z,not(Y)))) -> truth
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [469] implies(not(implies(X,implies(Y,Z))),implies(V_3,not(Z))) -> truth
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [470] implies(not(implies(X,implies(y,z))),implies(Y,not(y))) -> truth
% Current number of equations to process: 4272
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [471] implies(not(implies(y,implies(X,z))),implies(Y,not(y))) -> truth
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [472] implies(implies(X,Y),implies(not(implies(Z,not(X))),Y)) -> truth
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [473] implies(not(implies(X,implies(Y,not(y)))),implies(y,z)) -> truth
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [474] implies(not(implies(X,implies(Y,not(Z)))),implies(V_3,Z)) -> truth
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [475] implies(not(implies(X,not(z))),implies(x,implies(Y,y))) -> truth
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [476] implies(implies(not(X),Y),implies(not(Y),implies(Z,X))) -> truth
% Current number of equations to process: 4607
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [477] implies(implies(not(X),Y),implies(not(implies(Z,Y)),X)) -> truth
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [478] implies(implies(not(y),X),implies(not(X),implies(y,z))) -> truth
% Current number of equations to process: 4894
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [479] implies(implies(not(X),y),implies(not(implies(y,z)),X)) -> truth
% Current number of equations to process: 4894
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [480] implies(not(X),implies(implies(not(Y),X),implies(Z,Y))) -> truth
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [481] implies(z,implies(x,implies(not(implies(not(y),X)),Y))) -> truth
% Current number of equations to process: 738
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [482]
% implies(Y,not(implies(X,not(Y)))) <-> implies(not(X),not(implies(not(X),Y)))
% Rule [367] implies(implies(X,Y),not(implies(X,not(implies(X,Y))))) -> X
% collapsed.
% Current number of equations to process: 748
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [483]
% implies(not(X),not(implies(not(X),Y))) <-> implies(Y,not(implies(X,not(Y))))
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [484] implies(y,implies(y,implies(X,not(implies(z,not(X)))))) -> truth
% Current number of equations to process: 1153
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [485] implies(X,implies(Y,implies(Z,not(implies(X,not(Z)))))) -> truth
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [486] implies(y,implies(not(implies(not(z),implies(X,x))),Y)) -> truth
% Current number of equations to process: 1241
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [487] implies(not(implies(y,X)),implies(not(z),implies(Y,x))) -> truth
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [488] implies(y,implies(X,implies(not(z),implies(not(x),Y)))) -> truth
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [489] implies(y,implies(not(z),implies(X,implies(not(x),Y)))) -> truth
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [490] implies(y,implies(not(z),implies(not(implies(X,x)),Y))) -> truth
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [491] implies(implies(y,z),implies(not(y),implies(X,not(x)))) -> truth
% Current number of equations to process: 1340
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [492] implies(not(implies(X,implies(not(z),x))),implies(y,Y)) -> truth
% Current number of equations to process: 1353
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [493] implies(implies(X,Y),implies(not(Y),implies(Z,not(X)))) -> truth
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [494] implies(not(implies(not(z),implies(X,x))),implies(y,Y)) -> truth
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [495] implies(y,implies(y,implies(X,not(implies(X,not(z)))))) -> truth
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [496] implies(X,implies(Y,implies(Z,not(implies(Z,not(X)))))) -> truth
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [497] implies(not(X),implies(Y,implies(Z,not(implies(Z,X))))) -> truth
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [498] implies(not(implies(not(z),x)),implies(X,implies(y,Y))) -> truth
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [499] implies(y,implies(X,implies(not(x),implies(not(z),Y)))) -> truth
% Current number of equations to process: 2075
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [500] implies(y,implies(not(implies(not(x),implies(X,z))),Y)) -> truth
% Current number of equations to process: 2093
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [501] implies(not(implies(y,X)),implies(not(x),implies(Y,z))) -> truth
% Current number of equations to process: 2113
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [502] implies(not(implies(not(x),implies(X,z))),implies(y,Y)) -> truth
% Current number of equations to process: 2141
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [503] implies(not(X),implies(implies(Y,X),implies(Z,not(Y)))) -> truth
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [504] implies(not(y),implies(implies(y,z),implies(X,not(x)))) -> truth
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [505] implies(implies(y,z),implies(x,implies(X,implies(Y,y)))) -> truth
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [506] implies(X,implies(not(Y),implies(Z,not(implies(X,Y))))) -> truth
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [507] implies(x,implies(not(y),implies(X,not(implies(y,z))))) -> truth
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [508] implies(X,implies(Y,implies(Z,not(implies(X,not(Y)))))) -> truth
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [509] implies(X,implies(Y,implies(Z,not(implies(Y,not(X)))))) -> truth
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [510] implies(not(X),implies(Y,implies(Z,not(implies(Y,X))))) -> truth
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [511] implies(not(y),implies(x,implies(X,not(implies(y,z))))) -> truth
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [512] implies(X,implies(Y,not(implies(implies(Z,X),not(Y))))) -> truth
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [513] implies(X,implies(Y,not(implies(Y,not(implies(Z,X)))))) -> truth
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [514] implies(z,implies(not(implies(not(y),implies(x,X))),Y)) -> truth
% Current number of equations to process: 3426
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [515] implies(not(implies(z,X)),implies(not(y),implies(x,Y))) -> truth
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [516] implies(not(implies(not(y),implies(x,X))),implies(z,Y)) -> truth
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [517] implies(z,implies(X,implies(implies(y,Y),implies(x,Y)))) -> truth
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [518] implies(z,implies(implies(X,not(y)),implies(x,not(X)))) -> truth
% Current number of equations to process: 3596
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [519] implies(z,implies(implies(y,not(X)),implies(X,not(x)))) -> truth
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [520] implies(z,implies(x,implies(X,not(implies(y,not(X)))))) -> truth
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [521] implies(z,implies(x,implies(X,not(implies(X,not(y)))))) -> truth
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [522] implies(z,implies(X,implies(not(y),implies(Y,not(x))))) -> truth
% Current number of equations to process: 3673
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [523] implies(y,implies(X,not(implies(implies(y,z),not(X))))) -> truth
% Current number of equations to process: 3685
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [524] implies(y,implies(X,not(implies(X,not(implies(y,z)))))) -> truth
% Rule
% [409]
% implies(y,implies(not(z),not(implies(not(z),not(implies(y,z)))))) -> truth
% collapsed.
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [525] implies(y,implies(not(implies(not(z),implies(y,X))),Y)) -> truth
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [526] implies(not(implies(y,X)),implies(not(z),implies(y,Y))) -> truth
% Current number of equations to process: 3749
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [527] implies(not(implies(not(z),implies(y,X))),implies(y,Y)) -> truth
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [528] implies(y,implies(X,implies(not(z),implies(Y,not(y))))) -> truth
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [529] implies(X,implies(implies(X,z),implies(x,implies(Y,y)))) -> truth
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [530] implies(X,implies(implies(X,y),implies(Y,implies(y,z)))) -> truth
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [531] implies(X,implies(implies(X,Y),implies(Z,implies(V_3,Y)))) -> truth
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [532] implies(X,implies(implies(X,y),implies(y,implies(Y,z)))) -> truth
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [533] implies(y,implies(not(implies(X,not(y))),implies(Y,z))) -> truth
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [534] implies(y,implies(not(implies(y,X)),implies(not(z),Y))) -> truth
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [535] implies(y,implies(not(implies(X,z)),implies(Y,not(y)))) -> truth
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [536] implies(y,implies(not(implies(not(z),X)),implies(y,Y))) -> truth
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [537] implies(z,implies(not(implies(X,not(x))),implies(Y,y))) -> truth
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [538] implies(z,implies(not(implies(x,X)),implies(not(y),Y))) -> truth
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [539] implies(z,implies(not(implies(X,y)),implies(Y,not(x)))) -> truth
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [540] implies(z,implies(not(implies(not(y),X)),implies(x,Y))) -> truth
% Current number of equations to process: 4423
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [541] implies(x,implies(implies(y,z),implies(X,implies(Y,y)))) -> truth
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [542] implies(not(implies(x,implies(not(y),X))),implies(Y,y)) -> truth
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [543] implies(not(implies(X,y)),implies(x,implies(not(y),Y))) -> truth
% Current number of equations to process: 4465
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [544] implies(not(implies(y,implies(not(z),X))),implies(Y,x)) -> truth
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [545] implies(not(implies(X,x)),implies(y,implies(not(z),Y))) -> truth
% Current number of equations to process: 4526
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [546] implies(not(implies(y,z)),implies(X,not(implies(X,y)))) -> truth
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [547] implies(not(implies(X,implies(y,Y))),implies(not(z),x)) -> truth
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [548] implies(not(implies(X,Y)),implies(Z,not(implies(Z,Y)))) -> truth
% Current number of equations to process: 4586
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [549] implies(implies(implies(X,not(Y)),not(Z)),implies(Z,Y)) -> truth
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [550] implies(implies(implies(X,not(Y)),Z),implies(not(Z),Y)) -> truth
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [551] implies(x,implies(not(implies(X,implies(not(y),y))),Y)) -> truth
% Current number of equations to process: 1601
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [552] implies(not(implies(x,X)),implies(Y,implies(not(y),y))) -> truth
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [553] implies(not(implies(X,implies(not(y),y))),implies(x,Y)) -> truth
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [554] implies(x,implies(X,implies(not(implies(not(y),y)),Y))) -> truth
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [555] implies(not(implies(X,implies(x,Y))),implies(not(y),y)) -> truth
% Current number of equations to process: 1707
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [556] implies(not(implies(not(y),y)),implies(X,implies(x,Y))) -> truth
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [557] implies(x,implies(z,not(implies(y,not(implies(y,x)))))) -> truth
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [558] implies(not(z),implies(not(implies(X,implies(y,x))),Y)) -> truth
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [559] implies(not(implies(not(z),X)),implies(Y,implies(y,x))) -> truth
% Current number of equations to process: 1799
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [560] implies(not(implies(X,implies(y,x))),implies(not(z),Y)) -> truth
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [561] implies(not(implies(X,z)),implies(not(implies(y,x)),Y)) -> truth
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [562] implies(not(implies(y,x)),implies(not(implies(X,z)),Y)) -> truth
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [563] implies(not(z),implies(X,implies(not(implies(y,x)),Y))) -> truth
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [564] implies(not(implies(y,x)),implies(X,implies(not(z),Y))) -> truth
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [565] implies(not(implies(not(implies(y,x)),X)),implies(Y,z)) -> truth
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [566] implies(not(z),implies(not(implies(y,implies(X,x))),Y)) -> truth
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [567] implies(not(implies(not(z),X)),implies(y,implies(Y,x))) -> truth
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [568] implies(not(implies(y,implies(X,x))),implies(not(z),Y)) -> truth
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [569] implies(not(z),implies(X,implies(y,implies(not(x),Y)))) -> truth
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [570] implies(not(implies(X,z)),implies(y,implies(not(x),Y))) -> truth
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [571] implies(not(implies(y,implies(not(x),X))),implies(Y,z)) -> truth
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 467
% Rule [440]
% implies(X,not(implies(Y,not(X)))) <->
% implies(not(Y),not(implies(not(X),Y))) is composed into [440]
% implies(X,
% not(implies(Y,
% not(X))))
% <->
% implies(X,
% not(implies(X,
% not(Y))))
% New rule produced :
% [572]
% implies(not(Y),not(implies(not(X),Y))) -> implies(X,not(implies(X,not(Y))))
% Rule
% [441]
% implies(not(Y),not(implies(not(X),Y))) <-> implies(X,not(implies(Y,not(X))))
% collapsed.
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [573] implies(not(implies(X,not(implies(X,Y)))),implies(Z,Y)) -> truth
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [574] implies(not(implies(X,not(implies(X,y)))),implies(y,z)) -> truth
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [575] implies(z,implies(not(y),implies(X,not(implies(X,x))))) -> truth
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [576] implies(y,implies(not(z),implies(X,not(implies(X,y))))) -> truth
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [577] implies(implies(z,not(implies(z,y))),implies(y,not(y))) -> truth
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [578] implies(implies(X,Y),not(implies(Y,not(implies(Y,X))))) -> X
% Current number of equations to process: 2952
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [579] implies(implies(X,not(implies(X,Y))),not(implies(Y,X))) -> Y
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [580] implies(y,implies(implies(X,not(z)),implies(X,not(y)))) -> truth
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [581] implies(not(z),implies(y,implies(y,not(implies(y,x))))) -> truth
% Current number of equations to process: 3790
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [582] implies(z,implies(implies(X,not(y)),implies(X,not(x)))) -> truth
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [583] implies(implies(implies(X,Y),not(Z)),implies(Z,not(Y))) -> truth
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [584] implies(implies(implies(X,Y),Z),implies(not(Z),not(Y))) -> truth
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [585] implies(implies(implies(y,z),not(X)),implies(X,not(y))) -> truth
% Current number of equations to process: 3866
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [586] implies(X,not(implies(X,not(implies(Y,not(X)))))) -> implies(X,not(Y))
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [587] implies(not(implies(not(z),x)),implies(X,implies(Y,not(y)))) -> truth
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [588]
% implies(not(implies(implies(X,Y),implies(X,Z))),implies(V_3,Y)) -> truth
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [589] implies(not(implies(implies(y,z),implies(x,X))),implies(Y,y)) -> truth
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [590]
% implies(not(implies(X,implies(implies(X,Y),Z))),implies(V_3,Y)) -> truth
% Current number of equations to process: 4623
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [591] implies(not(implies(x,implies(implies(y,z),X))),implies(Y,y)) -> truth
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [592] implies(not(implies(X,y)),implies(Y,implies(x,implies(Z,y)))) -> truth
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [593] implies(not(implies(x,implies(X,y))),implies(Y,implies(Z,y))) -> truth
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [594] implies(not(implies(X,x)),implies(Y,implies(y,implies(Z,z)))) -> truth
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [595] implies(not(implies(y,implies(X,z))),implies(Y,implies(Z,x))) -> truth
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [596] implies(not(implies(not(y),y)),implies(X,implies(Y,not(x)))) -> truth
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [597] implies(not(implies(X,implies(Y,implies(y,x)))),implies(Z,z)) -> truth
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [598] implies(not(implies(X,implies(y,x))),implies(Y,implies(Z,z))) -> truth
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [599] implies(not(implies(y,x)),implies(X,implies(Y,implies(Z,z)))) -> truth
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [600] implies(not(implies(X,implies(Y,z))),implies(Z,implies(y,x))) -> truth
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [601] implies(not(implies(X,z)),implies(Y,implies(Z,implies(y,x)))) -> truth
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [602] implies(not(implies(implies(z,X),implies(y,x))),implies(Y,X)) -> truth
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [603] implies(not(implies(X,implies(y,implies(Y,x)))),implies(Z,z)) -> truth
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [604] implies(not(implies(y,implies(X,x))),implies(Y,implies(Z,z))) -> truth
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [605] implies(not(implies(X,z)),implies(Y,implies(y,implies(Z,x)))) -> truth
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [606]
% implies(not(X),not(implies(Y,X))) <->
% implies(not(Y),not(implies(not(Y),not(X))))
% Current number of equations to process: 1244
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [607]
% implies(not(Y),not(implies(not(Y),not(X)))) <->
% implies(not(X),not(implies(Y,X)))
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [608] implies(y,implies(not(x),implies(X,not(implies(z,not(X)))))) -> truth
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [609] implies(not(implies(X,Y)),implies(Z,not(implies(X,not(Z))))) -> truth
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [610] implies(not(implies(y,z)),implies(X,not(implies(x,not(X))))) -> truth
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [611] implies(not(implies(X,not(implies(Y,not(X))))),implies(Y,Z)) -> truth
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [612] implies(not(X),implies(Y,not(implies(implies(X,Z),not(Y))))) -> truth
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [613] implies(not(x),implies(X,not(implies(implies(y,z),not(X))))) -> truth
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [614] implies(not(x),implies(y,implies(X,not(implies(z,not(X)))))) -> truth
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [615] implies(not(y),implies(x,implies(X,not(implies(y,not(X)))))) -> truth
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [616] implies(not(X),not(implies(not(Y),not(implies(X,Y))))) -> implies(Y,X)
% Rule
% [251]
% implies(implies(X,Y),implies(not(Y),not(implies(not(X),not(implies(Y,X))))))
% -> truth collapsed.
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [617] implies(X,implies(not(implies(Y,not(implies(X,not(Y))))),Z)) -> truth
% Current number of equations to process: 2573
% Current number of ordered equations: 1
% Current number of rules: 511
% New rule produced :
% [618] implies(X,implies(Y,not(implies(implies(not(X),Z),not(Y))))) -> truth
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [619] implies(y,implies(X,not(implies(implies(not(z),x),not(X))))) -> truth
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [620] implies(y,implies(not(z),implies(X,not(implies(x,not(X)))))) -> truth
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [621] implies(x,implies(X,not(implies(implies(not(y),y),not(X))))) -> truth
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [622] implies(not(z),implies(X,not(implies(implies(y,x),not(X))))) -> truth
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [623] implies(not(implies(y,x)),implies(X,not(implies(z,not(X))))) -> truth
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [624] implies(not(z),implies(y,implies(X,not(implies(x,not(X)))))) -> truth
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [625] implies(y,implies(not(implies(not(z),implies(not(x),X))),Y)) -> truth
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [626] implies(not(implies(X,not(y))),implies(not(z),implies(Y,x))) -> truth
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [627] implies(not(implies(y,X)),implies(not(z),implies(not(x),Y))) -> truth
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [628] implies(y,implies(not(z),implies(not(implies(not(x),X)),Y))) -> truth
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [629] implies(not(implies(X,implies(not(z),x))),implies(Y,not(y))) -> truth
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [630] implies(not(implies(not(implies(not(z),x)),X)),implies(y,Y)) -> truth
% Current number of equations to process: 3025
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [631] implies(not(implies(X,not(x))),implies(Y,implies(not(y),y))) -> truth
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [632] implies(not(implies(X,not(y))),implies(Y,implies(not(z),x))) -> truth
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [633] implies(not(implies(y,implies(X,z))),implies(Y,implies(y,Z))) -> truth
% Current number of equations to process: 3130
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [634] implies(implies(X,not(implies(y,z))),implies(Y,implies(X,x))) -> truth
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [635] implies(not(implies(y,z)),implies(X,implies(Y,implies(Z,x)))) -> truth
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [636] implies(not(implies(z,X)),implies(Y,implies(x,implies(Z,y)))) -> truth
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [637] implies(not(implies(X,implies(y,z))),implies(Y,implies(Z,x))) -> truth
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [638] implies(not(implies(y,implies(X,implies(Y,z)))),implies(Z,x)) -> truth
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [639]
% implies(not(implies(X,implies(Y,Z))),implies(V_3,implies(V_4,Y))) -> truth
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [640] implies(not(implies(x,implies(not(y),X))),implies(Y,not(z))) -> truth
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [641] implies(not(implies(X,implies(y,Y))),implies(Z,implies(y,z))) -> truth
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [642] implies(not(implies(X,implies(Y,implies(y,z)))),implies(Z,x)) -> truth
% Current number of equations to process: 3505
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [643] implies(not(implies(implies(z,X),implies(y,X))),implies(Y,x)) -> truth
% Current number of equations to process: 3542
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [644] implies(not(implies(X,implies(x,implies(Y,y)))),implies(Z,y)) -> truth
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [645] implies(not(implies(x,implies(X,implies(Y,y)))),implies(Z,y)) -> truth
% Current number of equations to process: 3669
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [646]
% implies(not(implies(X,implies(Y,implies(Z,V_3)))),implies(V_4,Z)) -> truth
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [647] implies(not(implies(not(implies(y,z)),X)),implies(Y,not(y))) -> truth
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [648] implies(not(implies(not(implies(X,Y)),Z)),implies(V_3,not(Y))) -> truth
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [649] implies(not(implies(y,implies(not(z),X))),implies(Y,not(y))) -> truth
% Current number of equations to process: 3874
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [650] implies(not(implies(not(z),implies(X,x))),implies(Y,not(y))) -> truth
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [651] implies(not(implies(not(x),implies(X,z))),implies(Y,not(y))) -> truth
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [652] implies(not(implies(not(y),implies(x,X))),implies(Y,not(z))) -> truth
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [653] implies(not(implies(not(z),implies(y,X))),implies(Y,not(y))) -> truth
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [654] implies(not(implies(X,implies(not(y),y))),implies(Y,not(x))) -> truth
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [655] implies(not(implies(not(z),implies(not(x),X))),implies(y,Y)) -> truth
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [656] implies(implies(implies(not(z),x),X),implies(Y,implies(y,X))) -> truth
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [657]
% implies(implies(X,not(implies(Y,Z))),implies(V_3,implies(X,Y))) -> truth
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [658] implies(X,implies(not(implies(Y,not(implies(Y,not(X))))),Z)) -> truth
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [659] implies(not(implies(X,implies(y,implies(Y,z)))),implies(Z,x)) -> truth
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [660]
% implies(not(implies(X,Y)),implies(Z,implies(V_3,implies(V_4,X)))) -> truth
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [661] implies(not(implies(y,X)),implies(Y,implies(Z,implies(y,z)))) -> truth
% Current number of equations to process: 4456
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [662] implies(not(implies(y,X)),implies(Y,implies(y,implies(Z,z)))) -> truth
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [663] implies(not(implies(y,z)),implies(X,implies(Y,implies(y,Z)))) -> truth
% Current number of equations to process: 4531
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [664]
% implies(not(implies(X,Y)),implies(Z,implies(V_3,implies(Y,V_4)))) -> truth
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [665] implies(not(implies(X,x)),implies(Y,implies(Z,implies(y,z)))) -> truth
% Current number of equations to process: 4637
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [666] implies(not(implies(x,implies(X,y))),implies(Y,implies(z,Z))) -> truth
% Current number of equations to process: 4673
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [667]
% implies(not(implies(X,implies(Y,Z))),implies(V_3,implies(Z,V_4))) -> truth
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [668] implies(not(implies(X,implies(y,z))),implies(Y,implies(y,Z))) -> truth
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [669] implies(not(implies(X,implies(Y,x))),implies(Z,implies(y,z))) -> truth
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [670] implies(not(X),implies(not(implies(Y,not(implies(Y,X)))),Z)) -> truth
% Current number of equations to process: 4848
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [671] implies(not(implies(not(z),x)),implies(not(implies(y,X)),Y)) -> truth
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [672] implies(y,implies(not(implies(not(x),implies(not(z),X))),Y)) -> truth
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [673] implies(not(implies(X,not(y))),implies(not(x),implies(Y,z))) -> truth
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [674] implies(not(implies(y,X)),implies(not(x),implies(not(z),Y))) -> truth
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [675] implies(not(implies(not(x),implies(not(z),X))),implies(y,Y)) -> truth
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [676] implies(implies(y,z),implies(x,implies(X,implies(not(y),Y)))) -> truth
% Current number of equations to process: 2314
% Current number of ordered equations: 1
% Current number of rules: 570
% New rule produced :
% [677] implies(implies(y,z),implies(x,implies(not(implies(X,y)),Y))) -> truth
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [678] implies(X,implies(Y,not(implies(Y,not(implies(not(X),Z)))))) -> truth
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [679] implies(not(implies(y,z)),implies(not(X),not(implies(x,X)))) -> truth
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [680] implies(z,implies(not(implies(not(y),implies(X,not(x)))),Y)) -> truth
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [681] implies(not(implies(z,X)),implies(not(y),implies(Y,not(x)))) -> truth
% Current number of equations to process: 2461
% Current number of ordered equations: 1
% CurrentCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------