%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LCL165-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n061.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 00:27:14 EDT 2014

% Result   : Timeout 300.10s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LCL165-1 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n061.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 02:35:03 CDT 2014
% % CPUTime  : 300.10 
% Processing problem /tmp/CiME_55657_n061.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " and,or : AC; 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;
% X or Y = implies(not(X),Y);
% X and Y = not(not(X) or not(Y));
% ";
% 
% let s1 = status F "
% x lr_lex;
% not lr_lex;
% implies lr_lex;
% truth lr_lex;
% and mul;
% or mul;
% ";
% 
% let p1 = precedence F "
% implies > not > and > or > truth > x";
% 
% let s2 = status F "
% x mul;
% and mul;
% or mul;
% not mul;
% implies mul;
% truth mul;
% ";
% 
% let p2 = precedence F "
% implies > not > and > or > truth = x";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " not((x and (x or x)) or (x and x)) = not(x) and ((not(x) or not(x)) or (not(x) and not(x)));"
% ;
% (*
% 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,
% X or Y = implies(not(X),Y),
% X and Y = not(not(X) or not(Y)) }
% (6 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 = { not(((x or x) and x) or (x and x)) =
% ((not(x) and not(x)) or not(x) or not(x)) and 
% not(x) } (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: 6
% Current number of rules: 1
% New rule produced : [2] implies(not(X),Y) -> X or Y
% Current number of equations to process: 1
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] not(not(X) or not(Y)) -> X and Y
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] 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: 4
% New rule produced : [5] implies(not(Y) or X,implies(Y,X)) -> truth
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [6] 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: 6
% New rule produced : [7] implies(implies(X,truth),truth) -> implies(X,X)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] implies(not(truth) or X,X) -> truth
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] implies(X and Y,Z) -> not(X) or not(Y) or Z
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] implies(implies(Y,not(X)),not(X)) -> implies(X or Y,Y)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] implies(not(not(X)) or Y,X or Y) -> truth
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] not((X and Y) or not(Z)) -> (not(X) or not(Y)) and Z
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] 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: 13
% New rule produced :
% [14] implies(implies(implies(implies(X,Y),Y),X),truth) -> truth
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] implies(implies(X,truth),implies(Y,implies(X,Y))) -> truth
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] implies(truth or X,truth) -> not(X) or X
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% implies(implies(X,truth),implies(X,truth)) <-> implies(implies(X,X),truth)
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18]
% implies(implies(X,X),truth) <-> implies(implies(X,truth),implies(X,truth))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] implies(not(not(truth) or X) or X,truth) -> truth
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20] implies(truth or not(truth),truth or not(truth)) -> truth
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] implies(truth or not(implies(X,truth)),implies(X,X)) -> truth
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22] implies(implies(X,Y),implies(not(truth) or X,Y)) -> truth
% Current number of equations to process: 46
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [23] implies(implies(X,not(truth) or Y),implies(X,Y)) -> truth
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24] implies(not(Y) or X,not(Y)) <-> implies(not(X) or Y,not(X))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 24
% Rule [7] implies(implies(X,truth),truth) -> implies(X,X) is composed into 
% [7] implies(implies(X,truth),truth) -> truth
% New rule produced : [25] implies(X,X) -> truth
% Rule
% [17]
% implies(implies(X,truth),implies(X,truth)) <-> implies(implies(X,X),truth)
% collapsed.
% Rule
% [18]
% implies(implies(X,X),truth) <-> implies(implies(X,truth),implies(X,truth))
% collapsed.
% Rule [20] implies(truth or not(truth),truth or not(truth)) -> truth
% collapsed.
% Rule [21] implies(truth or not(implies(X,truth)),implies(X,X)) -> truth
% collapsed.
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [26] implies(X or Y,Y) or X -> truth
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [27] implies(X,implies(implies(Y,X),X)) -> truth
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [28] not(not(implies(X,truth))) or not(implies(X,truth)) -> truth
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [29] implies(X,truth) -> truth
% Rule [7] implies(implies(X,truth),truth) -> truth collapsed.
% Rule [14] implies(implies(implies(implies(X,Y),Y),X),truth) -> truth
% collapsed.
% Rule [15] implies(implies(X,truth),implies(Y,implies(X,Y))) -> truth
% collapsed.
% Rule [16] implies(truth or X,truth) -> not(X) or X collapsed.
% Rule [19] implies(not(not(truth) or X) or X,truth) -> truth collapsed.
% Rule [28] not(not(implies(X,truth))) or not(implies(X,truth)) -> truth
% collapsed.
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [30] not(X) or X -> truth
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [31] implies(Y,implies(X,Y)) -> truth
% Rule [27] implies(X,implies(implies(Y,X),X)) -> truth collapsed.
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [32] implies(not(truth) or not(truth) or X,X) -> truth
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [33] implies(not(truth) or X,implies(implies(X,Y),Y)) -> truth
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [34] implies(not(truth) or not(not(X)),X) -> truth
% Current number of equations to process: 68
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced : [35] implies(not(not(not(truth))) or X,X) -> truth
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [36] implies(not(not(truth)) or X,not(not(truth))) -> truth
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [37] implies(X,implies(not(X) or Y,Y)) -> truth
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [38] truth or X -> truth
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [39] not(truth) <-> not(X) and X
% Rule [8] implies(not(truth) or X,X) -> truth collapsed.
% Rule [22] implies(implies(X,Y),implies(not(truth) or X,Y)) -> truth
% collapsed.
% Rule [23] implies(implies(X,not(truth) or Y),implies(X,Y)) -> truth
% collapsed.
% Rule [32] implies(not(truth) or not(truth) or X,X) -> truth collapsed.
% Rule [33] implies(not(truth) or X,implies(implies(X,Y),Y)) -> truth
% collapsed.
% Rule [34] implies(not(truth) or not(not(X)),X) -> truth collapsed.
% Rule [35] implies(not(not(not(truth))) or X,X) -> truth collapsed.
% Rule [36] implies(not(not(truth)) or X,not(not(truth))) -> truth collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [40] not(X) and X <-> x and not(x)
% Current number of equations to process: 163
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced : [41] x and not(x) <-> not(X) and X
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [42] implies(X,X or Y) -> truth
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced : [43] implies(X,not(not(X))) -> truth
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [44] not(not(not(X))) or X -> truth
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [45] not(not(not(X))) -> not(X)
% Rule [44] not(not(not(X))) or X -> truth collapsed.
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [46] implies(X,not(not(X)) or Y) -> truth
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [47] implies((x and not(x)) or X,X) -> truth
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [48] implies(X,not(Y)) or Y -> truth
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [49] (X and Y) or not(X) or not(Y) -> truth
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [50] implies(not(not(X)) or Y,Y) or X -> truth
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [51] implies(X,not(not(X) or Y) or Y) -> truth
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [52] implies(implies(X,Y),implies(X,implies(Z,Y))) -> truth
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [53] implies(implies(implies(X,Y),Z),implies(Y,Z)) -> truth
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [54] not(X) and X <-> not(Y) and Y
% Rule [40] not(X) and X <-> x and not(x) collapsed.
% Rule [41] x and not(x) <-> not(X) and X collapsed.
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [55] not(not(X)) -> X
% Rule [11] implies(not(not(X)) or Y,X or Y) -> truth collapsed.
% Rule [43] implies(X,not(not(X))) -> truth collapsed.
% Rule [45] not(not(not(X))) -> not(X) collapsed.
% Rule [46] implies(X,not(not(X)) or Y) -> truth collapsed.
% Rule [50] implies(not(not(X)) or Y,Y) or X -> truth collapsed.
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [56] implies((not(X) and X) or Y,Y) -> truth
% Rule [47] implies((x and not(x)) or X,X) -> truth collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [57] implies(implies(X,Y),implies(X,Y or Z)) -> truth
% Current number of equations to process: 189
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [58] implies(implies(X or Y,Z),implies(X,Z)) -> truth
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [59] implies(X,(X and Y) or not(Y)) -> truth
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [60] implies(X,implies(Y,implies(Z,X))) -> truth
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [61] not((not(X) and X) or Y) or Y -> truth
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [62] implies(X or Y,implies(Z,Y) or X) -> truth
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [63] implies(X,implies(Y,implies(implies(X,Z),Z))) -> truth
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [64] implies(X,implies(Y,X or Z)) -> truth
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [65] implies(X,implies(implies(X,Y),implies(Z,Y))) -> truth
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [66] implies(X,implies(implies(implies(Y,X),Z),Z)) -> truth
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [67] implies(X,implies(Y,X) or Z) -> truth
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [68] not(Y) and Y <-> truth and not(X) and X
% Current number of equations to process: 240
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced : [69] truth and not(X) and X <-> not(Y) and Y
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [70] not(not(X) and X) -> truth
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [71] implies(X,Y) -> not(X) or Y
% Rule [1] implies(truth,X) -> X collapsed.
% Rule [2] implies(not(X),Y) -> X or Y collapsed.
% Rule [4] implies(implies(X,Y),Y) <-> implies(implies(Y,X),X) collapsed.
% Rule [5] implies(not(Y) or X,implies(Y,X)) -> truth collapsed.
% Rule [6] implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) -> truth
% collapsed.
% Rule [9] implies(X and Y,Z) -> not(X) or not(Y) or Z collapsed.
% Rule [10] implies(implies(Y,not(X)),not(X)) -> implies(X or Y,Y) collapsed.
% Rule [13] implies(X,implies(implies(X,Y),Y)) -> truth collapsed.
% Rule [24] implies(not(Y) or X,not(Y)) <-> implies(not(X) or Y,not(X))
% collapsed.
% Rule [25] implies(X,X) -> truth collapsed.
% Rule [26] implies(X or Y,Y) or X -> truth collapsed.
% Rule [29] implies(X,truth) -> truth collapsed.
% Rule [31] implies(Y,implies(X,Y)) -> truth collapsed.
% Rule [37] implies(X,implies(not(X) or Y,Y)) -> truth collapsed.
% Rule [42] implies(X,X or Y) -> truth collapsed.
% Rule [48] implies(X,not(Y)) or Y -> truth collapsed.
% Rule [51] implies(X,not(not(X) or Y) or Y) -> truth collapsed.
% Rule [52] implies(implies(X,Y),implies(X,implies(Z,Y))) -> truth collapsed.
% Rule [53] implies(implies(implies(X,Y),Z),implies(Y,Z)) -> truth collapsed.
% Rule [56] implies((not(X) and X) or Y,Y) -> truth collapsed.
% Rule [57] implies(implies(X,Y),implies(X,Y or Z)) -> truth collapsed.
% Rule [58] implies(implies(X or Y,Z),implies(X,Z)) -> truth collapsed.
% Rule [59] implies(X,(X and Y) or not(Y)) -> truth collapsed.
% Rule [60] implies(X,implies(Y,implies(Z,X))) -> truth collapsed.
% Rule [62] implies(X or Y,implies(Z,Y) or X) -> truth collapsed.
% Rule [63] implies(X,implies(Y,implies(implies(X,Z),Z))) -> truth collapsed.
% Rule [64] implies(X,implies(Y,X or Z)) -> truth collapsed.
% Rule [65] implies(X,implies(implies(X,Y),implies(Z,Y))) -> truth collapsed.
% Rule [66] implies(X,implies(implies(implies(Y,X),Z),Z)) -> truth collapsed.
% Rule [67] implies(X,implies(Y,X) or Z) -> truth collapsed.
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [72] (x and not(x)) or X -> X
% Current number of equations to process: 326
% Current number of ordered equations: 3
% Current number of rules: 14
% New rule produced : [73] not(not(Y) or X) or X <-> not(not(X) or Y) or Y
% Current number of equations to process: 539
% Current number of ordered equations: 21
% Current number of rules: 15
% New rule produced :
% [74] not(not(X) or Y) or not(not(Y) or Z) or not(X) or Z -> truth
% Current number of equations to process: 539
% Current number of ordered equations: 20
% Current number of rules: 16
% Rule [68] not(Y) and Y <-> truth and not(X) and X is composed into [68]
% not(Y) and Y
% <->
% not(X) and X
% New rule produced : [75] truth and X -> X
% Rule [69] truth and not(X) and X <-> not(Y) and Y collapsed.
% Current number of equations to process: 540
% Current number of ordered equations: 7
% Current number of rules: 16
% New rule produced : [76] (not(X) and X) or Y -> Y
% Rule [61] not((not(X) and X) or Y) or Y -> truth collapsed.
% Rule [72] (x and not(x)) or X -> X collapsed.
% Current number of equations to process: 540
% Current number of ordered equations: 6
% Current number of rules: 15
% New rule produced : [77] not(X and Y) -> not(X) or not(Y)
% Rule [70] not(not(X) and X) -> truth collapsed.
% Current number of equations to process: 542
% Current number of ordered equations: 2
% Current number of rules: 15
% New rule produced : [78] not(not(X) or Y) -> not(Y) and X
% Rule [3] not(not(X) or not(Y)) -> X and Y collapsed.
% Rule [12] not((X and Y) or not(Z)) -> (not(X) or not(Y)) and Z collapsed.
% Rule [73] not(not(Y) or X) or X <-> not(not(X) or Y) or Y collapsed.
% Rule [74] not(not(X) or Y) or not(not(Y) or Z) or not(X) or Z -> truth
% collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced : [79] (not(X) and Y) or X <-> (not(Y) and X) or Y
% Current number of equations to process: 555
% Current number of ordered equations: 5
% Current number of rules: 13
% New rule produced :
% [80] (not(Y) and X) or (not(Z) and Y) or not(X) or Z -> truth
% Current number of equations to process: 555
% Current number of ordered equations: 4
% Current number of rules: 14
% New rule produced : [81] not(X or Y) -> not(X) and not(Y)
% Rule [78] not(not(X) or Y) -> not(Y) and X collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% ((not(x) and not(x)) or not(x)) and (not(x) or not(x)) = ((not(x) and not(x)) or 
% not(x) or not(x)) and 
% not(x)
% 
% Current number of equations to process: 555
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced : [82] (not(X) and not(Y)) or Y -> (X and Y) or not(X)
% Current number of equations to process: 561
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [83] (not(X) and Y) or not(Y) or X -> truth
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [84] (not(X) and not(X) and X) or X -> X
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [85] ((not(X) or not(Y)) and not(Z)) or Y or Z -> truth
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [86] ((not(Y) or X) and not(Z)) or not(X) or Z -> truth
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [87] x and not(x) <-> (not(X) or not(Y)) and X and Y
% Current number of equations to process: 549
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [88] (not(X) or not(Y)) and X and Y <-> x and not(x)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [89] not(Z) and Z <-> (not(X) or not(Y)) and X and Y
% Rule [87] x and not(x) <-> (not(X) or not(Y)) and X and Y collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced : [90] (not(X) or not(Y)) and X and Y <-> not(Z) and Z
% Rule [88] (not(X) or not(Y)) and X and Y <-> x and not(x) collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [91] not(Z) and Z <-> (not(X) or Y) and not(Y) and X
% Current number of equations to process: 543
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [92] (not(X) or Y) and not(Y) and X <-> not(Z) and Z
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [93] ((not(Y) or X) and not(X)) or (not(Y) and X) or Y -> truth
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [94] (((not(Y) and X) or Y) and not(Z)) or not(X) or Z -> truth
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [95] (not(X) and Y) or not(Y) <-> (not(Y) and X) or not(X)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [96] x and not(x) <-> (not(X) or not(Y)) and not(Z) and Z
% Current number of equations to process: 516
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced : [97] (not(X) or not(Y)) and not(Z) and Z <-> x and not(x)
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [98] x and not(x) <-> (not(X) or not(Y)) and not(Z) and X and Y
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [99] (not(X) or not(Y)) and not(Z) and X and Y <-> x and not(x)
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [100] ((not(X) or Y) and not(Y)) or X -> not(Y) or X
% Rule [93] ((not(Y) or X) and not(X)) or (not(Y) and X) or Y -> truth
% collapsed.
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [101] (not(Z) and X and Y) or not(X) or not(Y) or Z -> truth
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [102] ((not(X) or Y) and not(Z)) or (not(Y) and X) or Z -> truth
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [103] (not(Y) and not(Z) and X) or not(X) or Y or Z -> truth
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [104] ((X or Y) and not(Z)) or not(X) or Z -> truth
% Rule [86] ((not(Y) or X) and not(Z)) or not(X) or Z -> truth collapsed.
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [105] ((not(X) or not(Y)) and not(Z)) or (X and Y) or Z -> truth
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [106] ((not(X) or not(Y)) and Z) or (X and Y) <-> (not(Z) and X and Y) or Z
% Current number of equations to process: 477
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [107] (not(Z) and X and Y) or Z <-> ((not(X) or not(Y)) and Z) or (X and Y)
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [108] ((X or Y) and not(Z)) or (not(X) and not(Y)) or Z -> truth
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [109] (not(X) and not(Y) and not(Z)) or X or Y or Z -> truth
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [110] ((not(Y) or not(Z)) and X) or (Y and Z) or not(X) -> truth
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [111]
% ((not(X) or not(Y) or Z) and not(V_3)) or (not(Z) and X) or V_3 -> truth
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [112]
% ((not(X) or Y) and not(Z)) or ((not(V_3) or X) and not(Y)) or Z -> truth
% Current number of equations to process: 446
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [113] ((not(Y) or Z) and not(V_3) and X) or not(X) or not(Z) or V_3 -> truth
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [114] ((not(X) or not(Y) or Z) and not(Z)) or (not(Y) and Z) or Y -> truth
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [115] ((not(X) or Y) and X) or not(Y) -> not(Y) or X
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [116] x and not(x) <-> not(X) and not(Y) and Y
% Current number of equations to process: 438
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [117] not(X) and not(Y) and Y <-> x and not(x)
% Current number of equations to process: 438
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [118] (not(Y) or X) and not(X) <-> (not(X) or Y) and not(Y)
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [119] (not(X) and not(Y) and X) or Y -> Y
% Rule [84] (not(X) and not(X) and X) or X -> X collapsed.
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [120] not(Z) and Z <-> (X or Y) and not(X) and not(Y)
% Current number of equations to process: 453
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced : [121] (X or Y) and not(X) and not(Y) <-> not(Z) and Z
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [122] (X or Y) and not(X) <-> (not(X) or not(Y)) and Y
% Current number of equations to process: 462
% Current number of ordered equations: 2
% Current number of rules: 50
% New rule produced : [123] (not(X) or not(Y)) and X <-> (X or Y) and not(Y)
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [124] ((not(X) or Y) and not(Z)) or X or Z -> truth
% Rule [85] ((not(X) or not(Y)) and not(Z)) or Y or Z -> truth collapsed.
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [125] ((not(X) or not(Y)) and X and Y) or Z -> Z
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [126] x and not(x) <-> not(X) and not(Y) and not(Z) and Z
% Current number of equations to process: 490
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [127] not(X) and not(Y) and not(Z) and Z <-> x and not(x)
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [128] ((not(X) or not(Y)) and Z) or not(Z) or Y -> truth
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [129] ((not(X) or Y) and not(Y) and X) or Z -> Z
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [130] not(Z) and Z <-> not(X) and X and Y
% Rule [96] x and not(x) <-> (not(X) or not(Y)) and not(Z) and Z collapsed.
% Rule [116] x and not(x) <-> not(X) and not(Y) and Y collapsed.
% Rule [126] x and not(x) <-> not(X) and not(Y) and not(Z) and Z collapsed.
% Current number of equations to process: 556
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced : [131] not(X) and X and Y <-> not(Z) and Z
% Rule [97] (not(X) or not(Y)) and not(Z) and Z <-> x and not(x) collapsed.
% Rule [117] not(X) and not(Y) and Y <-> x and not(x) collapsed.
% Rule [127] not(X) and not(Y) and not(Z) and Z <-> x and not(x) collapsed.
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [132] (not(X) and X and Y) or not(Y) -> not(Y)
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [133] not(Z) and Z <-> (not(X) or not(Y)) and X and Y and Z
% Current number of equations to process: 621
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [134] (not(X) or not(Y)) and X and Y and Z <-> not(Z) and Z
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [135] (not(Y) or X) and Y <->Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------