TSTP Solution File: BOO076-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO076-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n114.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 00:19:21 EDT 2014
% Result : Timeout 300.06s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : BOO076-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n114.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 : Thu Jun 5 23:00:33 CDT 2014
% % CPUTime : 300.06
% Processing problem /tmp/CiME_18620_n114.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant; nand : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A))) = B;
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% nand lr_lex;
% ";
%
% let p1 = precedence F "
% nand > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% nand mul;
% ";
%
% let p2 = precedence F "
% nand > a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " nand(a,nand(b,nand(a,c))) = nand(nand(nand(c,b),b),a);"
% ;
% (*
% 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 = { nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A)))
% = B } (1 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 = { nand(a,nand(b,nand(a,c))) =
% nand(nand(nand(c,b),b),a) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% nand(nand(nand(A,nand(B,C)),nand(nand(V_3,nand(A,nand(B,C))),nand(A,nand(B,C)))),
% nand(V_3,A)) -> V_3
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] nand(nand(nand(A,B),nand(nand(C,nand(A,B)),nand(A,B))),nand(C,A)) -> C
% Rule
% [2]
% nand(nand(nand(A,nand(B,C)),nand(nand(V_3,nand(A,nand(B,C))),nand(A,nand(B,C)))),
% nand(V_3,A)) -> V_3 collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [4] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,nand(nand(A,C),C)))) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% nand(nand(A,nand(nand(nand(B,nand(nand(B,B),B)),A),A)),B) ->
% nand(B,nand(nand(B,B),B))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [6] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(nand(B,B),B))) -> B
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7] nand(A,nand(nand(B,nand(nand(A,B),B)),A)) -> nand(B,nand(nand(A,B),B))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8] nand(nand(A,nand(nand(A,A),A)),nand(B,nand(nand(A,B),B))) -> A
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(A,nand(nand(B,A),A)))) -> B
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% nand(nand(nand(A,nand(B,A)),nand(A,nand(A,nand(B,A)))),A) ->
% nand(A,nand(nand(A,A),A))
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 9
% Rule [10]
% nand(nand(nand(A,nand(B,A)),nand(A,nand(A,nand(B,A)))),A) ->
% nand(A,nand(nand(A,A),A)) is composed into [10]
% nand(nand(nand(A,nand(B,A)),
% nand(A,nand(A,nand(B,A)))),A)
% -> nand(A,A)
% New rule produced : [11] nand(A,nand(nand(A,A),A)) -> nand(A,A)
% Rule
% [5]
% nand(nand(A,nand(nand(nand(B,nand(nand(B,B),B)),A),A)),B) ->
% nand(B,nand(nand(B,B),B)) collapsed.
% Rule [6] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(nand(B,B),B))) -> B
% collapsed.
% Rule [8] nand(nand(A,nand(nand(A,A),A)),nand(B,nand(nand(A,B),B))) -> A
% collapsed.
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [12] nand(nand(A,nand(nand(B,A),A)),nand(B,B)) -> B
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [13] nand(nand(A,A),nand(B,nand(nand(A,B),B))) -> A
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14] nand(nand(A,nand(nand(nand(B,B),A),A)),B) -> nand(B,B)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [15] nand(nand(A,A),nand(A,A)) -> A
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [16] nand(nand(A,A),nand(A,nand(B,A))) -> A
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [17] nand(nand(A,A),nand(A,nand(B,nand(nand(A,B),B)))) -> A
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [18] nand(nand(nand(A,B),nand(A,B)),nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [19] nand(A,nand(nand(A,A),B)) -> nand(A,A)
% Rule [11] nand(A,nand(nand(A,A),A)) -> nand(A,A) collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [20] nand(A,nand(B,nand(nand(nand(A,A),B),B))) -> nand(A,A)
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [21] nand(nand(A,A),nand(A,B)) -> A
% Rule [15] nand(nand(A,A),nand(A,A)) -> A collapsed.
% Rule [16] nand(nand(A,A),nand(A,nand(B,A))) -> A collapsed.
% Rule [17] nand(nand(A,A),nand(A,nand(B,nand(nand(A,B),B)))) -> A collapsed.
% Rule [18] nand(nand(nand(A,B),nand(A,B)),nand(nand(A,B),A)) -> nand(A,B)
% collapsed.
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [22] nand(nand(nand(A,B),nand(A,nand(A,B))),A) -> nand(A,A)
% Rule
% [10] nand(nand(nand(A,nand(B,A)),nand(A,nand(A,nand(B,A)))),A) -> nand(A,A)
% collapsed.
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [23] nand(A,nand(nand(A,B),nand(A,nand(A,B)))) -> nand(A,A)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [24] nand(nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A)),A) -> nand(A,A)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [25] nand(nand(nand(A,B),nand(A,nand(A,B))),nand(nand(A,A),A)) -> nand(A,A)
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [26] nand(A,nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A))) -> nand(A,A)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [27]
% nand(nand(A,nand(nand(nand(B,nand(nand(A,B),B)),A),A)),A) ->
% nand(B,nand(nand(A,B),B))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% nand(A,nand(nand(B,nand(nand(A,B),B)),nand(C,nand(A,A)))) ->
% nand(B,nand(nand(A,B),B))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% nand(nand(nand(nand(A,A),nand(nand(A,nand(A,A)),nand(A,A))),A),nand(A,A)) ->
% A
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% nand(nand(A,A),nand(nand(nand(A,A),nand(nand(A,nand(A,A)),nand(A,A))),A)) ->
% A
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [31]
% nand(A,nand(nand(B,nand(nand(A,B),B)),nand(B,nand(nand(A,B),B)))) ->
% nand(B,nand(nand(A,B),B))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32]
% nand(nand(nand(A,nand(nand(B,A),A)),nand(A,nand(nand(B,A),A))),B) ->
% nand(A,nand(nand(B,A),A))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33]
% nand(nand(nand(A,B),nand(A,nand(A,B))),nand(nand(A,A),nand(C,nand(A,B)))) ->
% nand(A,A)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% nand(nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A)),nand(nand(A,A),A)) ->
% nand(A,A)
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% nand(nand(nand(nand(A,A),A),nand(nand(A,A),nand(nand(A,A),A))),nand(A,
% nand(A,A))) ->
% A
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [36]
% nand(nand(A,A),nand(nand(B,nand(nand(nand(A,A),B),B)),nand(C,A))) ->
% nand(B,nand(nand(nand(A,A),B),B))
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37] nand(B,nand(nand(nand(nand(A,B),nand(A,B)),B),B)) -> nand(A,B)
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38] nand(nand(A,nand(B,C)),nand(A,nand(A,nand(B,C)))) -> A
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [39] nand(nand(A,B),nand(A,nand(A,B))) -> A
% Rule [22] nand(nand(nand(A,B),nand(A,nand(A,B))),A) -> nand(A,A) collapsed.
% Rule [23] nand(A,nand(nand(A,B),nand(A,nand(A,B)))) -> nand(A,A) collapsed.
% Rule
% [25] nand(nand(nand(A,B),nand(A,nand(A,B))),nand(nand(A,A),A)) -> nand(A,A)
% collapsed.
% Rule
% [33]
% nand(nand(nand(A,B),nand(A,nand(A,B))),nand(nand(A,A),nand(C,nand(A,B)))) ->
% nand(A,A) collapsed.
% Rule
% [35]
% nand(nand(nand(nand(A,A),A),nand(nand(A,A),nand(nand(A,A),A))),nand(A,
% nand(A,A))) ->
% A collapsed.
% Rule [38] nand(nand(A,nand(B,C)),nand(A,nand(A,nand(B,C)))) -> A collapsed.
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [40] nand(A,nand(B,nand(A,A))) -> nand(A,A)
% Rule
% [26] nand(A,nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A))) -> nand(A,A)
% collapsed.
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [41] nand(nand(A,A),nand(B,A)) -> A
% Rule
% [30]
% nand(nand(A,A),nand(nand(nand(A,A),nand(nand(A,nand(A,A)),nand(A,A))),A)) ->
% A collapsed.
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [42] nand(nand(nand(A,A),A),A) -> nand(A,A)
% Rule
% [24] nand(nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A)),A) -> nand(A,A)
% collapsed.
% Rule
% [34]
% nand(nand(nand(A,nand(nand(nand(A,A),A),A)),nand(A,A)),nand(nand(A,A),A)) ->
% nand(A,A) collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [43] nand(nand(nand(A,nand(A,A)),nand(A,A)),A) -> nand(A,A)
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [44] nand(nand(nand(A,nand(A,A)),nand(A,A)),nand(nand(A,A),A)) -> nand(A,A)
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [45] nand(nand(nand(A,B),nand(nand(C,nand(A,B)),nand(A,B))),nand(C,B)) -> C
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [46] nand(A,nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [47] nand(nand(A,B),nand(B,nand(A,B))) -> B
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [48] nand(nand(nand(A,B),nand(A,B)),A) -> nand(A,B)
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [49] nand(A,nand(nand(A,B),nand(A,B))) -> nand(A,B)
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [50] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(A,C))) -> B
% Rule
% [9] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(A,nand(nand(B,A),A)))) -> B
% collapsed.
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [51] nand(A,nand(nand(A,B),nand(C,nand(A,nand(A,B))))) -> nand(A,B)
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [52] nand(nand(A,B),nand(A,A)) -> A
% Rule
% [29]
% nand(nand(nand(nand(A,A),nand(nand(A,nand(A,A)),nand(A,A))),A),nand(A,A)) ->
% A collapsed.
% Rule [43] nand(nand(nand(A,nand(A,A)),nand(A,A)),A) -> nand(A,A) collapsed.
% Rule
% [44] nand(nand(nand(A,nand(A,A)),nand(A,A)),nand(nand(A,A),A)) -> nand(A,A)
% collapsed.
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [53] nand(nand(nand(A,A),A),nand(A,A)) -> A
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [54] nand(nand(A,nand(A,A)),A) -> nand(A,A)
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [55] nand(nand(nand(A,B),nand(A,B)),B) -> nand(A,B)
% Rule [37] nand(B,nand(nand(nand(nand(A,B),nand(A,B)),B),B)) -> nand(A,B)
% collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [56] nand(B,nand(nand(A,B),B)) -> nand(A,B)
% Rule [1] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A))) -> B collapsed.
% Rule
% [3] nand(nand(nand(A,B),nand(nand(C,nand(A,B)),nand(A,B))),nand(C,A)) -> C
% collapsed.
% Rule
% [4] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,nand(nand(A,C),C)))) -> B
% collapsed.
% Rule
% [7] nand(A,nand(nand(B,nand(nand(A,B),B)),A)) -> nand(B,nand(nand(A,B),B))
% collapsed.
% Rule [12] nand(nand(A,nand(nand(B,A),A)),nand(B,B)) -> B collapsed.
% Rule [13] nand(nand(A,A),nand(B,nand(nand(A,B),B))) -> A collapsed.
% Rule [14] nand(nand(A,nand(nand(nand(B,B),A),A)),B) -> nand(B,B) collapsed.
% Rule [20] nand(A,nand(B,nand(nand(nand(A,A),B),B))) -> nand(A,A) collapsed.
% Rule
% [27]
% nand(nand(A,nand(nand(nand(B,nand(nand(A,B),B)),A),A)),A) ->
% nand(B,nand(nand(A,B),B)) collapsed.
% Rule
% [28]
% nand(A,nand(nand(B,nand(nand(A,B),B)),nand(C,nand(A,A)))) ->
% nand(B,nand(nand(A,B),B)) collapsed.
% Rule
% [31]
% nand(A,nand(nand(B,nand(nand(A,B),B)),nand(B,nand(nand(A,B),B)))) ->
% nand(B,nand(nand(A,B),B)) collapsed.
% Rule
% [32]
% nand(nand(nand(A,nand(nand(B,A),A)),nand(A,nand(nand(B,A),A))),B) ->
% nand(A,nand(nand(B,A),A)) collapsed.
% Rule
% [36]
% nand(nand(A,A),nand(nand(B,nand(nand(nand(A,A),B),B)),nand(C,A))) ->
% nand(B,nand(nand(nand(A,A),B),B)) collapsed.
% Rule
% [45] nand(nand(nand(A,B),nand(nand(C,nand(A,B)),nand(A,B))),nand(C,B)) -> C
% collapsed.
% Rule [50] nand(nand(A,nand(nand(B,A),A)),nand(B,nand(A,C))) -> B collapsed.
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [57] nand(nand(B,A),nand(B,nand(C,A))) -> B
% Rule [39] nand(nand(A,B),nand(A,nand(A,B))) -> A collapsed.
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [58] nand(nand(nand(B,B),A),B) -> nand(B,B)
% Rule [42] nand(nand(nand(A,A),A),A) -> nand(A,A) collapsed.
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [59] nand(nand(nand(A,B),A),A) -> nand(A,B)
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [60] nand(nand(C,nand(A,B)),nand(C,A)) -> C
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [61] nand(nand(C,nand(A,B)),nand(C,B)) -> C
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [62] nand(nand(A,nand(B,A)),A) -> nand(B,A)
% Rule [54] nand(nand(A,nand(A,A)),A) -> nand(A,A) collapsed.
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [63] nand(nand(B,A),nand(B,nand(A,C))) -> B
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [64] nand(nand(nand(A,B),A),nand(A,B)) -> A
% Rule [53] nand(nand(nand(A,A),A),nand(A,A)) -> A collapsed.
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [65] nand(nand(A,B),nand(B,B)) -> B
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [66] nand(A,nand(nand(A,B),nand(C,nand(A,A)))) -> nand(A,B)
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [67] nand(nand(A,B),nand(B,nand(C,nand(nand(A,B),B)))) -> B
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [68] nand(A,nand(nand(B,A),nand(B,A))) -> nand(B,A)
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [69] nand(nand(nand(A,B),B),nand(A,B)) -> B
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [70] nand(nand(A,A),A) -> nand(A,nand(A,A))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [71] nand(nand(A,nand(A,B)),A) -> nand(A,B)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [72] nand(nand(nand(A,B),nand(C,B)),A) -> nand(A,B)
% Rule [48] nand(nand(nand(A,B),nand(A,B)),A) -> nand(A,B) collapsed.
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [73] nand(A,nand(A,nand(A,B))) -> nand(A,B)
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [74] nand(nand(A,nand(B,B)),B) -> nand(B,B)
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [75] nand(nand(A,nand(B,A)),nand(B,A)) -> A
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [76] nand(nand(A,B),A) -> nand(A,nand(A,B))
% Rule [46] nand(A,nand(nand(A,B),A)) -> nand(A,B) collapsed.
% Rule [59] nand(nand(nand(A,B),A),A) -> nand(A,B) collapsed.
% Rule [62] nand(nand(A,nand(B,A)),A) -> nand(B,A) collapsed.
% Rule [64] nand(nand(nand(A,B),A),nand(A,B)) -> A collapsed.
% Rule [69] nand(nand(nand(A,B),B),nand(A,B)) -> B collapsed.
% Rule [70] nand(nand(A,A),A) -> nand(A,nand(A,A)) collapsed.
% Rule [71] nand(nand(A,nand(A,B)),A) -> nand(A,B) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [77] nand(A,nand(A,nand(B,A))) -> nand(B,A)
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [78] nand(nand(nand(A,B),B),B) -> nand(A,B)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [79] nand(nand(A,B),nand(nand(A,B),B)) -> B
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [80] nand(nand(nand(A,nand(B,C)),B),A) -> nand(A,nand(B,C))
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [81] nand(A,nand(nand(A,B),nand(C,B))) -> nand(A,B)
% Rule [49] nand(A,nand(nand(A,B),nand(A,B))) -> nand(A,B) collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [82] nand(nand(nand(A,nand(B,C)),C),A) -> nand(A,nand(B,C))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [83] nand(A,nand(nand(A,nand(B,C)),B)) -> nand(A,nand(B,C))
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [84] nand(A,nand(nand(A,nand(B,C)),C)) -> nand(A,nand(B,C))
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [85] nand(nand(nand(A,B),nand(B,C)),A) -> nand(A,B)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [86] nand(A,nand(nand(A,B),nand(B,C))) -> nand(A,B)
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [87] nand(nand(nand(A,B),nand(nand(A,A),C)),A) -> nand(A,B)
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [88] nand(nand(nand(A,B),nand(C,nand(A,A))),A) -> nand(A,B)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [89] nand(A,nand(nand(A,B),nand(nand(A,A),C))) -> nand(A,B)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [90] nand(A,nand(nand(B,A),nand(C,nand(A,A)))) -> nand(B,A)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [91] nand(nand(nand(A,B),nand(nand(B,B),C)),B) -> nand(A,B)
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [92] nand(nand(nand(A,B),nand(C,nand(B,B))),B) -> nand(A,B)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [93] nand(A,nand(nand(B,A),nand(nand(A,A),C))) -> nand(B,A)
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [94] nand(nand(A,B),nand(A,nand(C,nand(A,nand(A,B))))) -> A
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [95] nand(nand(A,nand(B,nand(A,nand(A,C)))),nand(A,C)) -> A
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [96] nand(nand(A,nand(nand(nand(B,A),A),C)),nand(B,A)) -> A
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [97] nand(nand(A,nand(B,nand(nand(C,A),A))),nand(C,A)) -> A
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [98] nand(nand(A,B),nand(B,nand(nand(nand(A,B),B),C))) -> B
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [99] nand(B,nand(A,A)) <-> nand(nand(A,A),B)
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [100] nand(nand(A,A),B) <-> nand(B,nand(A,A))
% Rule [55] nand(nand(nand(A,B),nand(A,B)),B) -> nand(A,B) collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 46
% nand(B,A) = nand(A,B) (birth = 940, lhs_size = 3, rhs_size = 3,trace = Cp of 72 and 58)
% Initializing completion ...
% New rule produced : [1] A <-> (A nand A) nand (A nand B)
% Current number of equations to process: 442
% Current number of ordered equations: 42
% Current number of rules: 1
% New rule produced : [2] (A nand B) nand (B nand B) <-> B
% Current number of equations to process: 442
% Current number of ordered equations: 40
% Current number of rules: 2
% New rule produced : [3] B nand B <-> ((B nand B) nand A) nand B
% Current number of equations to process: 448
% Current number of ordered equations: 38
% Current number of rules: 3
% New rule produced : [4] A nand B <-> ((A nand B) nand B) nand B
% Current number of equations to process: 448
% Current number of ordered equations: 37
% Current number of rules: 4
% New rule produced : [5] A nand B <-> ((A nand B) nand A) nand A
% Current number of equations to process: 448
% Current number of ordered equations: 36
% Current number of rules: 5
% New rule produced : [6] ((A nand B) nand B) nand B <-> A nand B
% Current number of equations to process: 448
% Current number of ordered equations: 35
% Current number of rules: 6
% New rule produced : [7] ((A nand B) nand A) nand A <-> A nand B
% Current number of equations to process: 448
% Current number of ordered equations: 34
% Current number of rules: 7
% New rule produced : [8] ((B nand B) nand A) nand B <-> B nand B
% Current number of equations to process: 448
% Current number of ordered equations: 32
% Current number of rules: 8
% New rule produced : [9] A <-> ((A nand B) nand A) nand (A nand B)
% Current number of equations to process: 508
% Current number of ordered equations: 30
% Current number of rules: 9
% New rule produced : [10] B <-> ((A nand C) nand B) nand (A nand B)
% Rule [9] A <-> ((A nand B) nand A) nand (A nand B) collapsed.
% Current number of equations to process: 508
% Current number of ordered equations: 27
% Current number of rules: 9
% New rule produced : [11] ((A nand B) nand B) nand (A nand B) <-> B
% Current number of equations to process: 511
% Current number of ordered equations: 25
% Current number of rules: 10
% New rule produced : [12] ((A nand B) nand C) nand (A nand C) <-> C
% Rule [11] ((A nand B) nand B) nand (A nand B) <-> B collapsed.
% Current number of equations to process: 511
% Current number of ordered equations: 22
% Current number of rules: 10
% New rule produced : [13] A nand B <-> ((A nand B) nand (A nand B)) nand A
% Current number of equations to process: 562
% Current number of ordered equations: 21
% Current number of rules: 11
% New rule produced : [14] A nand B <-> ((A nand B) nand (B nand C)) nand A
% Rule [13] A nand B <-> ((A nand B) nand (A nand B)) nand A collapsed.
% Current number of equations to process: 567
% Current number of ordered equations: 20
% Current number of rules: 11
% New rule produced : [15] ((A nand B) nand (A nand B)) nand A <-> A nand B
% Current number of equations to process: 567
% Current number of ordered equations: 19
% Current number of rules: 12
% New rule produced : [16] ((A nand B) nand (B nand C)) nand A <-> A nand B
% Rule [15] ((A nand B) nand (A nand B)) nand A <-> A nand B collapsed.
% Current number of equations to process: 567
% Current number of ordered equations: 18
% Current number of rules: 12
% New rule produced :
% [17] (((B nand C) nand A) nand B) nand A <-> (B nand C) nand A
% Current number of equations to process: 645
% Current number of ordered equations: 45
% Current number of rules: 13
% New rule produced :
% [18] (((B nand C) nand A) nand C) nand A <-> (B nand C) nand A
% Current number of equations to process: 645
% Current number of ordered equations: 44
% Current number of rules: 14
% New rule produced :
% [19] (B nand C) nand A <-> (((B nand C) nand A) nand B) nand A
% Current number of equations to process: 645
% Current number of ordered equations: 43
% Current number of rules: 15
% New rule produced :
% [20] (B nand C) nand A <-> (((B nand C) nand A) nand C) nand A
% Current number of equations to process: 645
% Current number of ordered equations: 42
% Current number of rules: 16
% New rule produced :
% [21] (((A nand A) nand C) nand (A nand B)) nand A <-> A nand B
% Current number of equations to process: 959
% Current number of ordered equations: 67
% Current number of rules: 17
% New rule produced :
% [22] (((B nand B) nand C) nand (A nand B)) nand B <-> A nand B
% Current number of equations to process: 959
% Current number of ordered equations: 66
% Current number of rules: 18
% New rule produced :
% [23] A nand B <-> (((A nand A) nand C) nand (A nand B)) nand A
% Current number of equations to process: 959
% Current number of ordered equations: 65
% Current number of rules: 19
% New rule produced :
% [24] A nand B <-> (((B nand B) nand C) nand (A nand B)) nand B
% Current number of equations to process: 959
% Current number of ordered equations: 64
% Current number of rules: 20
% New rule produced :
% [25] A <-> ((((A nand B) nand A) nand C) nand A) nand (A nand B)
% Current number of equations to process: 1217
% Current number of ordered equations: 159
% Current number of rules: 21
% New rule produced :
% [26] B <-> (((A nand B) nand A) nand A) nand ((A nand C) nand B)
% Current number of equations to process: 1217
% Current number of ordered equations: 158
% Current number of rules: 22
% New rule produced :
% [27] ((((A nand B) nand B) nand C) nand B) nand (A nand B) <-> B
% Current number of equations to process: 1217
% Current number of ordered equations: 155
% Current number of rules: 23
% New rule produced :
% [28] (((A nand B) nand A) nand A) nand ((A nand C) nand B) <-> B
% Current number of equations to process: 1217
% Current number of ordered equations: 154
% Current number of rules: 24
% New rule produced :
% [29] ((((A nand B) nand A) nand C) nand (A nand B)) nand A <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 281
% Current number of rules: 25
% New rule produced :
% [30] A nand B <-> ((((A nand B) nand A) nand C) nand (A nand B)) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 280
% Current number of rules: 26
% New rule produced : [31] A nand A <-> ((A nand B) nand B) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 277
% Current number of rules: 27
% New rule produced : [32] ((A nand B) nand B) nand A <-> A nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 274
% Current number of rules: 28
% New rule produced :
% [33] (A nand A) nand (A nand C) <-> (A nand A) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 250
% Current number of rules: 29
% New rule produced : [34] A nand B <-> ((A nand B) nand (A nand B)) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 246
% Current number of rules: 30
% New rule produced : [35] ((A nand B) nand (A nand B)) nand B <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 242
% Current number of rules: 31
% New rule produced :
% [36] ((A nand A) nand C) nand A <-> ((A nand A) nand B) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 220
% Current number of rules: 32
% New rule produced :
% [37] ((A nand B) nand B) nand B <-> ((A nand B) nand A) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 214
% Current number of rules: 33
% New rule produced : [38] ((A nand B) nand (A nand C)) nand B <-> A nand B
% Rule [35] ((A nand B) nand (A nand B)) nand B <-> A nand B collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 209
% Current number of rules: 33
% New rule produced : [39] A nand B <-> ((A nand B) nand (A nand C)) nand B
% Rule [34] A nand B <-> ((A nand B) nand (A nand B)) nand B collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 204
% Current number of rules: 33
% New rule produced : [40] A <-> (((A nand A) nand B) nand A) nand (A nand C)
% Current number of equations to process: 1577
% Current number of ordered equations: 194
% Current number of rules: 34
% New rule produced : [41] (((A nand A) nand B) nand A) nand (A nand C) <-> A
% Current number of equations to process: 1577
% Current number of ordered equations: 184
% Current number of rules: 35
% New rule produced : [42] B <-> (((A nand B) nand A) nand A) nand (B nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 181
% Current number of rules: 36
% New rule produced : [43] (((A nand B) nand A) nand A) nand (B nand B) <-> B
% Current number of equations to process: 1577
% Current number of ordered equations: 178
% Current number of rules: 37
% New rule produced :
% [44] (A nand B) nand (B nand B) <-> ((A nand B) nand B) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 176
% Current number of rules: 38
% New rule produced :
% [45] ((A nand B) nand B) nand (A nand B) <-> (A nand B) nand (B nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 174
% Current number of rules: 39
% New rule produced :
% [46] ((((A nand A) nand B) nand A) nand A) nand A <-> A nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 170
% Current number of rules: 40
% New rule produced :
% [47] A nand A <-> ((((A nand A) nand B) nand A) nand A) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 166
% Current number of rules: 41
% New rule produced :
% [48] ((((A nand B) nand B) nand B) nand A) nand A <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 164
% Current number of rules: 42
% New rule produced :
% [49] ((((A nand B) nand B) nand B) nand B) nand B <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 158
% Current number of rules: 43
% New rule produced :
% [50] A nand B <-> ((((A nand B) nand B) nand B) nand A) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 156
% Current number of rules: 44
% New rule produced :
% [51] A nand B <-> ((((A nand B) nand B) nand B) nand B) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 150
% Current number of rules: 45
% New rule produced :
% [52] ((((A nand B) nand A) nand A) nand A) nand A <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 144
% Current number of rules: 46
% New rule produced :
% [53] A nand B <-> ((((A nand B) nand A) nand A) nand A) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 138
% Current number of rules: 47
% New rule produced :
% [54] ((((A nand B) nand A) nand A) nand B) nand B <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 137
% Current number of rules: 48
% New rule produced :
% [55] A nand B <-> ((((A nand B) nand A) nand A) nand B) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 136
% Current number of rules: 49
% New rule produced :
% [56] ((((A nand A) nand B) nand A) nand C) nand A <-> A nand A
% Rule [46] ((((A nand A) nand B) nand A) nand A) nand A <-> A nand A
% collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 130
% Current number of rules: 49
% New rule produced :
% [57] A nand A <-> ((((A nand A) nand B) nand A) nand C) nand A
% Rule [47] A nand A <-> ((((A nand A) nand B) nand A) nand A) nand A
% collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 124
% Current number of rules: 49
% New rule produced :
% [58] ((((A nand A) nand B) nand B) nand B) nand A <-> A nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 122
% Current number of rules: 50
% New rule produced :
% [59] A nand A <-> ((((A nand A) nand B) nand B) nand B) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 120
% Current number of rules: 51
% New rule produced :
% [60] (A nand B) nand (B nand B) <-> ((C nand V_3) nand B) nand (B nand C)
% Rule [44] (A nand B) nand (B nand B) <-> ((A nand B) nand B) nand (A nand B)
% collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 115
% Current number of rules: 51
% New rule produced :
% [61] ((C nand V_3) nand B) nand (B nand C) <-> (A nand B) nand (B nand B)
% Rule [45] ((A nand B) nand B) nand (A nand B) <-> (A nand B) nand (B nand B)
% collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 110
% Current number of rules: 51
% New rule produced :
% [62] ((A nand B) nand (A nand C)) nand B <-> ((A nand B) nand B) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 104
% Current number of rules: 52
% New rule produced :
% [63] ((A nand B) nand B) nand B <-> ((A nand B) nand (A nand C)) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 98
% Current number of rules: 53
% New rule produced :
% [64] ((A nand B) nand B) nand B <-> ((A nand B) nand (B nand C)) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 96
% Current number of rules: 54
% New rule produced :
% [65] ((A nand B) nand (B nand C)) nand A <-> ((A nand B) nand B) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 94
% Current number of rules: 55
% New rule produced :
% [66] A nand B <-> ((((A nand B) nand B) nand A) nand B) nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 92
% Current number of rules: 56
% New rule produced :
% [67] ((((A nand B) nand B) nand A) nand B) nand B <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 90
% Current number of rules: 57
% New rule produced :
% [68] A nand B <-> ((((A nand B) nand A) nand B) nand A) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 88
% Current number of rules: 58
% New rule produced :
% [69] ((((A nand B) nand A) nand B) nand A) nand A <-> A nand B
% Current number of equations to process: 1577
% Current number of ordered equations: 86
% Current number of rules: 59
% New rule produced :
% [70] (A nand B) nand (A nand B) <-> ((A nand A) nand A) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 85
% Current number of rules: 60
% New rule produced :
% [71] ((A nand A) nand A) nand (A nand B) <-> (A nand B) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 84
% Current number of rules: 61
% New rule produced :
% [72] (A nand B) nand (A nand B) <-> ((B nand B) nand B) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 83
% Current number of rules: 62
% New rule produced :
% [73] ((B nand B) nand B) nand (A nand B) <-> (A nand B) nand (A nand B)
% Current number of equations to process: 1577
% Current number of ordered equations: 82
% Current number of rules: 63
% New rule produced :
% [74] ((((A nand B) nand B) nand B) nand B) nand A <-> A nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 81
% Current number of rules: 64
% New rule produced :
% [75] A nand A <-> ((((A nand B) nand B) nand B) nand B) nand A
% Current number of equations to process: 1577
% Current number of ordered equations: 80
% Current number of rules: 65
% New rule produced :
% [76] A <-> ((((C nand V_3) nand A) nand B) nand A) nand (A nand V_3)
% Rule [25] A <-> ((((A nand B) nand A) nand C) nand A) nand (A nand B)
% collapsed.
% Current number of equations to process: 1577
% Current number of ordered equations: 76
% Current number of rules: 65
% New rule produced :
% [77] ((((C nand V_3) nand A) nand B) nand A) nand (A nand V_3) <-> A
% Rule [27] ((((A nand B) nand B) nand C) nand B) nand (A nand B) <-> B
% collapsed.
% Current number of equations to process: 1701
% Current number of ordered equations: 72
% Current number of rules: 65
% New rule produced :
% [78] A <-> (((A nand A) nand (A nand A)) nand B) nand (A nand A)
% Current number of equations to process: 1701
% Current number of ordered equations: 71
% Current number of rules: 66
% New rule produced :
% [79] (((A nand A) nand (A nand A)) nand B) nand (A nand A) <-> A
% Current number of equations to process: 1701
% Current number of ordered equations: 70
% Current number of rules: 67
% New rule produced :
% [80]
% ((V_3 nand V_4) nand C) nand (C nand V_3) <->
% ((A nand B) nand C) nand (A nand C)
% Current number of equations to process: 1701
% Current number of ordered equations: 66
% Current number of rules: 68
% New rule produced :
% [81] B <-> (((A nand B) nand B) nand B) nand ((A nand C) nand B)
% Current number of equations to process: 1701
% Current number of ordered equations: 64
% Current number of rules: 69
% New rule produced :
% [82] C <-> ((((A nand B) nand B) nand B) nand C) nand (A nand C)
% Current number of equations to process: 1701
% Current number of ordered equations: 61
% Current number of rules: 70
% New rule produced :
% [83] ((((A nand B) nand B) nand B) nand C) nand (A nand C) <-> C
% Current number of equations to process: 1701
% Current number of ordered equations: 58
% Current number of rules: 71
% New rule produced :
% [84] (((A nand B) nand B) nand B) nand ((A nand C) nand B) <-> B
% Current number of equations to process: 1701
% Current number of ordered equations: 56
% Current number of rules: 72
% New rule produced :
% [85]
% ((A nand B) nand (A nand V_3)) nand B <-> ((A nand B) nand (B nand C)) nand A
% Current number of equations to process: 1701
% Current number of ordered equations: 54
% Current number of rules: 73
% New rule produced :
% [86]
% ((A nand B) nand (B nand C)) nand A <-> ((A nand B) nand (B nand V_3)) nand A
% Current number of equations to process: 1701
% Current number of ordered equations: 48
% Current number of rules: 74
% New rule produced :
% [87] B <-> (((A nand B) nand (B nand C)) nand A) nand (B nand B)
% Current number of equations to process: 1701
% Current number of ordered equations: 45
% Current number of rules: 75
% New rule produced :
% [88] (((A nand B) nand (B nand C)) nand A) nand (B nand B) <-> B
% Current number of equations to process: 1701
% Current number of ordered equations: 42
% Current number of rules: 76
% New rule produced :
% [89]
% ((A nand B) nand (B nand B)) nand C <-> ((A nand B) nand (B nand C)) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 40
% Current number of rules: 77
% New rule produced :
% [90]
% ((A nand B) nand (B nand C)) nand C <-> ((A nand B) nand (B nand B)) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 38
% Current number of rules: 78
% New rule produced :
% [91]
% (((A nand B) nand C) nand B) nand C <-> (((A nand B) nand B) nand B) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 31
% Current number of rules: 79
% New rule produced :
% [92]
% (((A nand B) nand B) nand B) nand C <-> (((A nand B) nand C) nand B) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 24
% Current number of rules: 80
% New rule produced :
% [93]
% (((A nand B) nand C) nand A) nand C <-> (((A nand B) nand C) nand C) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 21
% Current number of rules: 81
% New rule produced :
% [94]
% (((A nand B) nand C) nand C) nand C <-> (((A nand B) nand C) nand A) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 18
% Current number of rules: 82
% New rule produced :
% [95]
% (((A nand B) nand C) nand B) nand C <-> (((A nand B) nand C) nand C) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 16
% Current number of rules: 83
% New rule produced :
% [96]
% (((A nand B) nand C) nand C) nand C <-> (((A nand B) nand C) nand B) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 14
% Current number of rules: 84
% New rule produced :
% [97]
% (((A nand B) nand C) nand B) nand C <-> (((A nand B) nand C) nand A) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 8
% Current number of rules: 85
% New rule produced :
% [98]
% (((A nand B) nand C) nand A) nand C <-> (((A nand B) nand B) nand B) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 4
% Current number of rules: 86
% New rule produced :
% [99]
% (((A nand B) nand B) nand B) nand C <-> (((A nand B) nand C) nand A) nand C
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [100] ((A nand C) nand C) nand A <-> ((A nand A) nand B) nand A
% Current number of equations to process: 1838
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [101] ((A nand A) nand B) nand A <-> ((A nand C) nand C) nand A
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [102] (A nand B) nand B <-> (A nand A) nand B
% Current number of equations to process: 1876
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [103] (A nand A) nand B <-> (A nand B) nand B
% Current number of equations to process: 1876
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [104] ((A nand C) nand C) nand A <-> ((A nand B) nand B) nand A
% Current number of equations to process: 1902
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [105] A <-> (((A nand B) nand B) nand A) nand (A nand C)
% Current number of equations to process: 1980
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced : [106] A <-> (((A nand A) nand B) nand B) nand (A nand A)
% Current number of equations to process: 1980
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced : [107] (((A nand B) nand B) nand A) nand (A nand C) <-> A
% Current number of equations to process: 1980
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced : [108] (((A nand A) nand B) nand B) nand (A nand A) <-> A
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [109] A nand A <-> ((((A nand B) nand B) nand A) nand C) nand A
% Current number of equations to process: 2505
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [110] ((((A nand B) nand B) nand A) nand C) nand A <-> A nand A
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [111] ((((A nand B) nand B) nand B) nand A) nand B <-> B nand B
% Current number of equations to process: 2502
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [112] B nand B <-> ((((A nand B) nand B) nand B) nand A) nand B
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [113] ((A nand C) nand C) nand C <-> ((A nand A) nand (A nand B)) nand C
% Current number of equations to process: 3172
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [114] ((A nand A) nand (A nand B)) nand C <-> ((A nand C) nand C) nand C
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [115] ((A nand C) nand A) nand A <-> ((A nand A) nand (A nand B)) nand C
% Current number of equations to process: 3972
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [116] ((A nand A) nand (A nand B)) nand C <-> ((A nand C) nand A) nand A
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [117] A nand B <-> ((A nand A) nand B) nand B
% Current number of equations to process: 4276
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced : [118] ((A nand A) nand B) nand B <-> A nand B
% Current number of equations to process: 4276
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [119] C <-> (((A nand B) nand B) nand C) nand ((A nand A) nand C)
% Current number of equations to process: 3915
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [120] (((A nand B) nand B) nand C) nand ((A nand A) nand C) <-> C
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [121]
% ((B nand B) nand B) nand (A nand B) <-> ((A nand A) nand A) nand (A nand B)
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [122] (A nand A) nand A <-> ((A nand B) nand (A nand B)) nand (A nand A)
% Current number of equations to process: 3913
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [123] ((A nand B) nand (A nand B)) nand (A nand A) <-> (A nand A) nand A
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [124] A <-> (((A nand B) nand C) nand A) nand ((B nand V_3) nand A)
% Rule [81] B <-> (((A nand B) nand B) nand B) nand ((A nand C) nand B)
% collapsed.
% Current number of equations to process: 4197
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [125] (((A nand B) nand C) nand A) nand ((B nand V_3) nand A) <-> A
% Rule [84] (((A nand B) nand B) nand B) nand ((A nand C) nand B) <-> B
% collapsed.
% Current number of equations to process: 4197
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [126] A <-> (((A nand A) nand (A nand B)) nand C) nand (A nand A)
% Rule [78] A <-> (((A nand A) nand (A nand A)) nand B) nand (A nand A)
% collapsed.
% Current number of equations to process: 4722
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [127] (((A nand A) nand (A nand B)) nand C) nand (A nand A) <-> A
% Rule [79] (((A nand A) nand (A nand A)) nand B) nand (A nand A) <-> A
% collapsed.
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [128]
% ((A nand A) nand (A nand B)) nand C <-> ((A nand C) nand (C nand V_3)) nand A
% Current number of equations to process: 4459
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [129]
% ((A nand C) nand (C nand V_3)) nand A <-> ((A nand A) nand (A nand B)) nand C
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [130]
% ((A nand A) nand (A nand B)) nand C <-> ((A nand C) nand (A nand V_3)) nand C
% Rule
% [89]
% ((A nand B) nand (B nand B)) nand C <-> ((A nand B) nand (B nand C)) nand C
% collapsed.
% Current number of equations to process: 4888
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [131]
% ((A nand C) nand (A nand V_3)) nand C <-> ((A nand A) nand (A nand B)) nand C
% Rule
% [90]
% ((A nand B) nand (B nand C)) nand C <-> ((A nand B) nand (B nand B)) nand C
% collapsed.
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [132] (A nand A) nand B <-> (((A nand B) nand A) nand A) nand B
% Current number of equations to process: 2517
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [133] (((A nand B) nand A) nand A) nand B <-> (A nand A) nand B
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [134] (A nand A) nand B <-> (((A nand B)Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------