TSTP Solution File: BOO108-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO108-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n051.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 00:19:25 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO108-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n051.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 01:00:53 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_7086_n051.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(nand(nand(A,B),C),C),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(nand(nand(A,B),C),C),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(nand(nand(A,B),C),C),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(nand(nand(A,B),nand(nand(nand(B,C),A),A)),C),C),C) ->
% nand(nand(nand(B,C),A),A)
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% nand(nand(A,nand(A,nand(B,C))),nand(B,nand(nand(A,nand(B,C)),nand(nand(C,A),B))))
% -> B
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% nand(nand(nand(A,B),B),nand(nand(A,nand(C,V_3)),nand(B,nand(nand(nand(V_3,A),C),C))))
% -> nand(A,nand(C,V_3))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% nand(nand(nand(nand(A,B),C),C),nand(B,nand(B,nand(nand(C,A),nand(nand(
% nand(A,B),C),C)))))
% -> B
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(C,A),B),B)),
% nand(nand(nand(C,A),B),B)),nand(V_3,A)) -> V_3
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% nand(nand(nand(nand(nand(A,B),C),C),B),nand(B,nand(B,nand(nand(nand(C,A),
% nand(nand(nand(A,B),C),C)),B))))
% -> B
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(C,A),B)),nand(A,
% nand(A,
% nand(B,C)))),B),B),B)
% -> nand(A,nand(A,nand(B,C)))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% nand(nand(nand(nand(nand(A,nand(nand(B,C),nand(nand(nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B)),A),A),A) ->
% nand(nand(nand(C,A),B),B)
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% nand(nand(nand(nand(nand(nand(A,B),C),C),V_3),V_3),nand(B,nand(V_3,nand(
% nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B),B))))
% -> B
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% nand(nand(A,nand(A,nand(B,C))),nand(B,nand(B,nand(nand(nand(A,nand(B,C)),
% nand(nand(C,A),B)),
% nand(A,nand(A,nand(B,C))))))) ->
% B
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% nand(nand(A,nand(A,nand(B,C))),nand(A,nand(nand(A,nand(B,C)),nand(nand(
% nand(
% nand(B,C),
% nand(
% nand(
% nand(C,A),B),B)),A),A))))
% -> A
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% nand(nand(nand(nand(A,B),C),C),nand(B,nand(B,nand(nand(B,nand(nand(C,A),
% nand(nand(nand(A,B),C),C))),
% nand(nand(nand(A,B),C),C))))) ->
% B
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),nand(nand(nand(C,A),B),B)),A)),
% nand(nand(nand(nand(C,A),B),B),A)),A),A),A) ->
% nand(nand(nand(nand(C,A),B),B),A)
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),V_3),V_3)),nand(nand(C,A),A)),
% nand(C,nand(V_3,B))),nand(C,nand(V_3,B))),nand(C,nand(V_3,B))) ->
% nand(nand(C,A),A)
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% nand(nand(nand(A,nand(A,nand(B,C))),B),nand(B,nand(B,nand(nand(nand(nand(A,
% nand(B,C)),
% nand(nand(C,A),B)),
% nand(A,nand(A,
% nand(B,C)))),B))))
% -> B
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% nand(nand(nand(nand(nand(A,nand(nand(B,nand(A,C)),nand(nand(C,B),A))),V_3),
% nand(B,nand(B,nand(A,C)))),nand(B,nand(B,nand(A,C)))),nand(V_3,A))
% -> V_3
% Current number of equations to process: 1033
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18]
% nand(nand(nand(A,B),B),nand(nand(A,nand(nand(C,nand(A,V_3)),nand(nand(V_3,C),A))),
% nand(B,nand(C,nand(C,nand(A,V_3)))))) ->
% nand(A,nand(nand(C,nand(A,V_3)),nand(nand(V_3,C),A)))
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% nand(nand(nand(A,B),B),nand(nand(A,nand(C,V_3)),nand(nand(A,nand(C,V_3)),
% nand(nand(B,nand(nand(
% nand(V_3,A),C),C)),
% nand(nand(A,B),B))))) ->
% nand(A,nand(C,V_3))
% Current number of equations to process: 1356
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% nand(nand(A,nand(A,B)),nand(nand(nand(nand(C,B),V_3),V_3),nand(nand(A,B),
% nand(nand(nand(B,
% nand(V_3,C)),A),
% nand(nand(nand(C,B),V_3),V_3)))))
% -> nand(nand(nand(C,B),V_3),V_3)
% Current number of equations to process: 1533
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% nand(nand(nand(A,B),B),nand(nand(A,C),nand(B,nand(nand(nand(nand(C,nand(V_3,V_4)),A),
% nand(nand(nand(V_4,C),V_3),V_3)),
% nand(nand(nand(V_4,C),V_3),V_3)))))
% -> nand(A,C)
% Current number of equations to process: 1731
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [22]
% nand(nand(nand(A,B),B),nand(nand(nand(nand(A,B),B),B),nand(nand(nand(
% nand(A,B),B),B),
% nand(nand(B,nand(B,A)),
% nand(nand(A,B),B)))))
% -> nand(nand(nand(A,B),B),B)
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(V_3,nand(nand(nand(C,A),B),B))),V_4),
% nand(nand(A,V_3),V_3)),nand(nand(A,V_3),V_3)),nand(V_4,nand(A,
% nand(B,C))))
% -> V_4
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,C),nand(nand(nand(C,A),B),B)))),V_3),
% nand(nand(nand(C,A),B),B)),nand(nand(nand(C,A),B),B)),nand(V_3,A))
% -> V_3
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% nand(nand(nand(nand(nand(A,B),C),C),B),nand(B,nand(B,nand(nand(nand(B,
% nand(nand(C,A),
% nand(nand(
% nand(A,B),C),C))),
% nand(nand(nand(A,B),C),C)),B))))
% -> B
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% nand(nand(nand(A,B),B),nand(nand(A,nand(A,nand(nand(C,V_3),nand(nand(
% nand(V_3,A),C),C)))),
% nand(B,nand(nand(nand(V_3,A),C),C)))) ->
% nand(A,nand(A,nand(nand(C,V_3),nand(nand(nand(V_3,A),C),C))))
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,nand(A,C)),nand(nand(C,B),A)),
% nand(B,nand(B,nand(A,C))))),nand(B,nand(B,
% nand(A,C)))),A),A),A)
% -> nand(B,nand(B,nand(A,C)))
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,C),nand(
% nand(
% nand(C,A),B),B)),A),A)),
% nand(A,nand(A,nand(B,C)))),A),A),A) ->
% nand(A,nand(A,nand(B,C)))
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% nand(nand(A,nand(A,nand(nand(B,nand(A,C)),nand(nand(C,B),A)))),nand(nand(B,
% nand(A,C)),
% nand(nand(A,
% nand(
% nand(B,
% nand(A,C)),
% nand(
% nand(C,B),A))),B)))
% -> nand(B,nand(A,C))
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% nand(nand(nand(nand(A,nand(A,nand(B,C))),V_3),V_3),nand(B,nand(V_3,nand(
% nand(
% nand(
% nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(C,A),B)),
% nand(A,
% nand(A,
% nand(B,C)))),B),B))))
% -> B
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% nand(nand(nand(nand(nand(A,B),C),C),B),nand(B,nand(B,nand(nand(B,nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B)),
% nand(nand(nand(nand(A,B),C),C),B)))))
% -> B
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% nand(nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(C,V_3),B),B)),V_3),V_3)),
% nand(nand(nand(nand(nand(C,V_3),B),B),A),A)),V_3),V_3),V_3) ->
% nand(nand(nand(nand(nand(C,V_3),B),B),A),A)
% Current number of equations to process: 4264
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% nand(nand(nand(nand(A,nand(B,C)),V_3),V_3),nand(nand(nand(A,nand(B,C)),
% nand(V_4,nand(nand(nand(C,A),B),B))),
% nand(V_3,nand(nand(A,V_4),V_4))))
% -> nand(nand(A,nand(B,C)),nand(V_4,nand(nand(nand(C,A),B),B)))
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34]
% nand(nand(nand(nand(nand(A,nand(nand(A,nand(nand(B,C),nand(nand(nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B))),nand(nand(nand(C,A),B),B)),A),A),A)
% -> nand(nand(nand(C,A),B),B)
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(V_3,nand(nand(nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B)),nand(nand(A,V_3),V_3)),nand(
% nand(A,V_3),V_3)),A)
% -> nand(nand(nand(C,A),B),B)
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% nand(nand(A,nand(A,nand(A,nand(nand(B,C),nand(nand(nand(C,A),B),B))))),
% nand(B,nand(nand(A,nand(A,nand(nand(B,C),nand(nand(nand(C,A),B),B)))),
% nand(nand(C,A),B)))) -> B
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% nand(nand(nand(nand(nand(nand(A,B),C),C),V_3),V_3),nand(B,nand(V_3,nand(
% nand(
% nand(
% nand(B,
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C))),
% nand(
% nand(
% nand(A,B),C),C)),B),B))))
% -> B
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [38]
% nand(nand(A,nand(A,nand(B,C))),nand(B,nand(B,nand(nand(B,nand(nand(nand(A,
% nand(B,C)),
% nand(nand(C,A),B)),
% nand(A,nand(A,
% nand(B,C))))),
% nand(A,nand(A,nand(B,C))))))) ->
% B
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(B,nand(nand(
% nand(
% nand(B,
% nand(C,V_3)),A),
% nand(
% nand(
% nand(V_3,B),C),C)),
% nand(nand(
% nand(V_3,B),C),C))),A),A))))
% -> A
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [40]
% nand(nand(A,nand(A,nand(B,C))),nand(A,nand(A,nand(nand(nand(A,nand(B,C)),
% nand(nand(nand(nand(B,C),
% nand(nand(
% nand(C,A),B),B)),A),A)),
% nand(A,nand(A,nand(B,C))))))) ->
% A
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% nand(nand(A,nand(A,nand(B,C))),nand(A,nand(nand(A,nand(B,C)),nand(nand(
% nand(
% nand(A,
% nand(
% nand(B,C),
% nand(
% nand(
% nand(C,A),B),B))),
% nand(
% nand(
% nand(C,A),B),B)),A),A))))
% -> A
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42]
% nand(nand(nand(nand(A,nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(
% nand(C,A),B),B)),
% nand(nand(nand(C,A),B),B))),V_3),V_3),V_3) ->
% nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(C,A),B),B)),nand(
% nand(
% nand(C,A),B),B))
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [43]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(V_3,nand(nand(
% nand(C,A),B),B)))),
% nand(V_3,nand(nand(nand(A,nand(B,C)),nand(V_3,nand(nand(nand(C,A),B),B))),
% nand(A,V_3)))) -> V_3
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [44]
% nand(nand(nand(A,B),B),nand(nand(A,nand(A,nand(nand(nand(C,V_3),nand(
% nand(
% nand(V_3,A),C),C)),A))),
% nand(B,nand(nand(nand(nand(V_3,A),C),C),A)))) ->
% nand(A,nand(A,nand(nand(nand(C,V_3),nand(nand(nand(V_3,A),C),C)),A)))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [45]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(nand(C,A),B),B)),A))),V_3),
% nand(nand(nand(nand(C,A),B),B),A)),nand(nand(nand(nand(C,A),B),B),A)),
% nand(V_3,A)) -> V_3
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [46]
% nand(nand(nand(A,nand(nand(nand(nand(A,B),C),C),C)),nand(nand(nand(nand(A,B),C),C),C)),
% nand(nand(A,nand(nand(C,nand(A,B)),nand(nand(B,C),A))),C)) ->
% nand(A,nand(nand(C,nand(A,B)),nand(nand(B,C),A)))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% nand(nand(nand(nand(nand(nand(A,B),C),C),B),B),nand(B,nand(B,nand(nand(
% nand(B,
% nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B)),
% nand(
% nand(
% nand(
% nand(A,B),C),C),B)),B))))
% -> B
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [48]
% nand(nand(nand(nand(nand(A,nand(nand(nand(nand(B,nand(A,C)),nand(nand(C,B),A)),
% nand(B,nand(B,nand(A,C)))),A)),nand(nand(B,
% nand(B,
% nand(A,C))),A)),A),A),A)
% -> nand(nand(B,nand(B,nand(A,C))),A)
% Current number of equations to process: 3759
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [49]
% nand(nand(nand(nand(A,B),C),C),nand(B,nand(B,nand(nand(B,nand(nand(B,
% nand(nand(C,A),
% nand(nand(
% nand(A,B),C),C))),
% nand(nand(nand(A,B),C),C))),
% nand(nand(nand(A,B),C),C))))) ->
% B
% Current number of equations to process: 4208
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [50]
% nand(nand(A,nand(A,B)),nand(nand(C,nand(C,nand(B,V_3))),nand(nand(A,B),
% nand(nand(nand(B,
% nand(
% nand(C,
% nand(B,V_3)),
% nand(
% nand(V_3,C),B))),A),
% nand(C,nand(C,
% nand(B,V_3)))))))
% -> nand(C,nand(C,nand(B,V_3)))
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [51]
% nand(nand(A,nand(A,nand(B,C))),nand(nand(nand(nand(nand(C,A),B),B),nand(V_3,V_4)),
% nand(nand(A,nand(B,C)),nand(nand(nand(V_4,
% nand(
% nand(
% nand(C,A),B),B)),V_3),V_3))))
% -> nand(nand(nand(nand(C,A),B),B),nand(V_3,V_4))
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [52]
% nand(nand(nand(A,B),B),nand(nand(A,C),nand(B,nand(nand(nand(nand(C,nand(
% nand(V_3,
% nand(C,V_4)),
% nand(
% nand(V_4,V_3),C))),A),
% nand(V_3,nand(V_3,nand(C,V_4)))),
% nand(V_3,nand(V_3,nand(C,V_4)))))))
% -> nand(A,C)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53]
% nand(nand(nand(nand(A,B),nand(nand(nand(nand(C,V_3),nand(nand(nand(V_3,A),C),C)),A),A)),
% nand(nand(nand(nand(C,V_3),nand(nand(nand(V_3,A),C),C)),A),A)),nand(B,
% nand(
% nand(
% nand(V_3,A),C),C)))
% -> B
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [54]
% nand(nand(nand(nand(nand(nand(A,B),C),C),V_3),V_3),nand(B,nand(B,nand(
% nand(V_3,
% nand(
% nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B),B)),
% nand(
% nand(
% nand(
% nand(
% nand(A,B),C),C),V_3),V_3)))))
% -> B
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [55]
% nand(nand(nand(nand(nand(A,nand(nand(nand(nand(B,nand(C,V_3)),V_4),nand(
% nand(
% nand(V_3,B),C),C)),
% nand(nand(nand(V_3,B),C),C))),nand(nand(V_4,A),A)),
% nand(V_4,B)),nand(V_4,B)),nand(V_4,B)) -> nand(nand(V_4,A),A)
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [56]
% nand(nand(nand(nand(nand(A,nand(nand(nand(A,nand(nand(B,C),nand(nand(
% nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B)),A)),nand(nand(
% nand(
% nand(C,A),B),B),A)),A),A),A)
% -> nand(nand(nand(nand(C,A),B),B),A)
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [57]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(B,nand(A,C)),nand(nand(C,B),A)),
% nand(B,nand(B,nand(A,C)))))),V_3),nand(B,
% nand(B,
% nand(A,C)))),
% nand(B,nand(B,nand(A,C)))),nand(V_3,A)) -> V_3
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [58]
% nand(nand(nand(A,nand(A,nand(B,C))),B),nand(B,nand(B,nand(nand(nand(B,
% nand(nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(C,A),B)),
% nand(A,
% nand(A,
% nand(B,C))))),
% nand(A,nand(A,
% nand(B,C)))),B))))
% -> B
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [59]
% nand(nand(nand(nand(nand(A,nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,C),
% nand(nand(
% nand(C,A),B),B)),A),A))),V_3),
% nand(A,nand(A,nand(B,C)))),nand(A,nand(A,nand(B,C)))),nand(V_3,A))
% -> V_3
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [60]
% nand(nand(nand(A,nand(A,nand(B,C))),A),nand(A,nand(A,nand(nand(nand(nand(A,
% nand(B,C)),
% nand(nand(
% nand(
% nand(B,C),
% nand(
% nand(
% nand(C,A),B),B)),A),A)),
% nand(A,nand(A,
% nand(B,C)))),A))))
% -> A
% Current number of equations to process: 4267
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [61]
% nand(nand(A,nand(A,B)),nand(nand(nand(nand(C,B),V_3),V_3),nand(nand(A,B),
% nand(nand(nand(B,
% nand(B,
% nand(
% nand(V_3,C),
% nand(
% nand(
% nand(C,B),V_3),V_3)))),A),
% nand(nand(nand(C,B),V_3),V_3)))))
% -> nand(nand(nand(C,B),V_3),V_3)
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [62]
% nand(nand(nand(A,B),B),nand(nand(A,C),nand(B,nand(nand(nand(nand(C,nand(C,
% nand(
% nand(V_3,V_4),
% nand(
% nand(
% nand(V_4,C),V_3),V_3)))),A),
% nand(nand(nand(V_4,C),V_3),V_3)),
% nand(nand(nand(V_4,C),V_3),V_3)))))
% -> nand(A,C)
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(V_3,V_4)),nand(nand(nand(C,A),B),B)),
% nand(nand(nand(V_4,nand(A,nand(B,C))),V_3),V_3)),nand(nand(
% nand(V_4,
% nand(A,
% nand(B,C))),V_3),V_3)),A)
% -> nand(nand(nand(C,A),B),B)
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [64]
% nand(nand(nand(A,B),B),nand(nand(A,C),nand(nand(A,C),nand(nand(B,nand(
% nand(
% nand(
% nand(C,
% nand(V_3,V_4)),A),
% nand(
% nand(
% nand(V_4,C),V_3),V_3)),
% nand(
% nand(
% nand(V_4,C),V_3),V_3))),
% nand(nand(A,B),B))))) ->
% nand(A,C)
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [65]
% nand(nand(nand(A,B),B),nand(nand(nand(nand(A,B),B),B),nand(nand(nand(
% nand(A,B),B),B),
% nand(nand(B,nand(B,
% nand(
% nand(B,A),
% nand(
% nand(
% nand(A,B),B),B)))),
% nand(nand(A,B),B)))))
% -> nand(nand(nand(A,B),B),B)
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [66]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(V_3,A)),B),B)),
% nand(V_3,A)),nand(V_3,A))),V_3),V_3),nand(
% nand(
% nand(C,
% nand(V_3,A)),B),B))
% ->
% nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(V_3,A)),B),B)),nand(V_3,A)),
% nand(V_3,A))
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [67]
% nand(nand(nand(nand(nand(A,B),B),C),C),nand(nand(A,nand(V_3,V_4)),nand(C,
% nand(
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(V_4,A),V_3),V_3)),
% nand(
% nand(A,B),B)),
% nand(A,
% nand(V_3,V_4))),
% nand(A,
% nand(V_3,V_4))))))
% -> nand(A,nand(V_3,V_4))
% Current number of equations to process: 3698
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [68]
% nand(nand(A,nand(A,nand(A,nand(nand(nand(B,C),nand(nand(nand(C,A),B),B)),A)))),
% nand(A,nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(nand(C,A),B),B)),A))),
% nand(nand(nand(C,A),B),B)))) -> A
% Current number of equations to process: 4452
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [69]
% nand(nand(nand(nand(A,B),B),nand(A,nand(C,V_3))),nand(nand(A,nand(C,V_3)),
% nand(nand(A,nand(C,V_3)),
% nand(nand(nand(B,nand(
% nand(
% nand(V_3,A),C),C)),
% nand(nand(A,B),B)),
% nand(A,nand(C,V_3)))))) ->
% nand(A,nand(C,V_3))
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [70]
% nand(nand(nand(nand(nand(nand(nand(A,B),C),C),B),V_3),V_3),nand(B,nand(V_3,
% nand(
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B)),
% nand(
% nand(
% nand(
% nand(A,B),C),C),B)),B),B))))
% -> B
% Current number of equations to process: 2580
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [71]
% nand(nand(nand(A,nand(A,nand(B,C))),B),nand(B,nand(B,nand(nand(B,nand(
% nand(
% nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(C,A),B)),
% nand(A,
% nand(A,
% nand(B,C)))),B)),
% nand(nand(A,nand(A,
% nand(B,C))),B)))))
% -> B
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [72]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(V_3,nand(nand(nand(C,A),B),B)),
% nand(nand(A,V_3),V_3))),nand(
% nand(A,V_3),V_3)),
% nand(A,nand(B,C))),nand(A,nand(B,C))),nand(A,nand(B,C))) ->
% nand(nand(A,V_3),V_3)
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [73]
% nand(nand(nand(nand(nand(A,nand(nand(A,nand(nand(nand(B,C),nand(nand(
% nand(C,A),B),B)),A)),
% nand(nand(nand(nand(C,A),B),B),A))),nand(nand(
% nand(
% nand(C,A),B),B),A)),A),A),A)
% -> nand(nand(nand(nand(C,A),B),B),A)
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [74]
% nand(nand(nand(nand(nand(A,B),C),C),B),nand(B,nand(B,nand(nand(nand(B,
% nand(nand(B,
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C))),
% nand(nand(
% nand(A,B),C),C))),
% nand(nand(nand(A,B),C),C)),B))))
% -> B
% Current number of equations to process: 2411
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [75]
% nand(nand(nand(A,B),B),nand(nand(A,nand(C,V_3)),nand(nand(A,nand(C,V_3)),
% nand(nand(nand(A,nand(C,V_3)),
% nand(nand(B,nand(
% nand(
% nand(V_3,A),C),C)),
% nand(nand(A,B),B))),
% nand(nand(A,B),B))))) ->
% nand(A,nand(C,V_3))
% Current number of equations to process: 2963
% Current number of ordered equations: 2
% Current number of rules: 75
% New rule produced :
% [76]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(A,nand(nand(B,C),nand(nand(
% nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B)))),V_3),nand(
% nand(
% nand(C,A),B),B)),
% nand(nand(nand(C,A),B),B)),nand(V_3,A)) -> V_3
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [77]
% nand(nand(nand(nand(nand(nand(A,B),nand(nand(nand(B,nand(nand(nand(nand(B,
% nand(C,V_3)),A),
% nand(nand(nand(V_3,B),C),C)),
% nand(nand(nand(V_3,B),C),C))),A),A)),
% nand(A,nand(A,B))),A),A),A) -> nand(A,nand(A,B))
% Current number of equations to process: 4476
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [78]
% nand(nand(nand(A,B),B),nand(nand(A,nand(C,nand(V_3,V_4))),nand(B,nand(
% nand(
% nand(
% nand(
% nand(C,
% nand(V_3,V_4)),
% nand(V_5,
% nand(
% nand(
% nand(V_4,C),V_3),V_3))),A),
% nand(
% nand(C,V_5),V_5)),
% nand(
% nand(C,V_5),V_5)))))
% -> nand(A,nand(C,nand(V_3,V_4)))
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [79]
% nand(nand(nand(A,B),B),nand(nand(A,nand(C,nand(nand(nand(nand(V_3,V_4),
% nand(nand(nand(V_4,A),V_3),V_3)),A),A))),
% nand(B,nand(nand(nand(nand(nand(V_4,A),V_3),V_3),C),C))))
% ->
% nand(A,nand(C,nand(nand(nand(nand(V_3,V_4),nand(nand(nand(V_4,A),V_3),V_3)),A),A)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [80]
% nand(nand(nand(A,nand(nand(nand(B,nand(nand(C,A),nand(V_3,B))),V_3),V_3)),
% nand(nand(nand(B,nand(nand(C,A),nand(V_3,B))),V_3),V_3)),nand(nand(A,
% nand(
% nand(V_3,B),C)),
% nand(nand(C,A),
% nand(V_3,B))))
% -> nand(A,nand(nand(V_3,B),C))
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [81]
% nand(nand(nand(nand(nand(A,nand(nand(nand(nand(nand(B,nand(C,V_3)),nand(
% nand(V_3,B),C)),
% nand(B,nand(B,nand(C,V_3)))),C),C)),
% nand(nand(nand(B,nand(B,nand(C,V_3))),A),A)),C),C),C) ->
% nand(nand(nand(B,nand(B,nand(C,V_3))),A),A)
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [82]
% nand(nand(nand(nand(nand(A,nand(nand(A,nand(nand(nand(B,nand(A,C)),nand(
% nand(C,B),A)),
% nand(B,nand(B,nand(A,C))))),nand(B,
% nand(B,
% nand(A,C))))),
% nand(B,nand(B,nand(A,C)))),A),A),A) ->
% nand(B,nand(B,nand(A,C)))
% Current number of equations to process: 3135
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [83]
% nand(nand(nand(nand(nand(A,nand(nand(nand(A,nand(B,C)),nand(nand(nand(
% nand(B,C),
% nand(
% nand(
% nand(C,A),B),B)),A),A)),
% nand(A,nand(A,nand(B,C))))),nand(A,nand(A,
% nand(B,C)))),A),A),A)
% -> nand(A,nand(A,nand(B,C)))
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [84]
% nand(nand(nand(nand(nand(nand(A,nand(nand(B,nand(A,C)),nand(nand(C,B),A))),
% nand(V_3,nand(B,nand(B,nand(A,C))))),nand(B,nand(B,
% nand(A,C)))),
% nand(nand(A,V_3),V_3)),nand(nand(A,V_3),V_3)),A) ->
% nand(B,nand(B,nand(A,C)))
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [85]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(A,nand(
% nand(B,C),
% nand(
% nand(
% nand(C,A),B),B))),
% nand(nand(nand(C,A),B),B)),A),A)),
% nand(A,nand(A,nand(B,C)))),A),A),A) ->
% nand(A,nand(A,nand(B,C)))
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [86]
% nand(nand(A,nand(A,nand(B,nand(C,V_3)))),nand(nand(nand(B,V_4),V_4),nand(
% nand(A,
% nand(B,
% nand(C,V_3))),
% nand(
% nand(
% nand(
% nand(B,
% nand(C,V_3)),
% nand(V_4,
% nand(
% nand(
% nand(V_3,B),C),C))),A),
% nand(
% nand(B,V_4),V_4)))))
% -> nand(nand(B,V_4),V_4)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [87]
% nand(nand(nand(nand(nand(nand(A,B),nand(C,nand(nand(nand(nand(B,nand(V_3,V_4)),A),
% nand(nand(nand(V_4,B),V_3),V_3)),
% nand(nand(nand(V_4,B),V_3),V_3)))),V_5),
% nand(nand(A,C),C)),nand(nand(A,C),C)),nand(V_5,nand(A,B))) -> V_5
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [88]
% nand(nand(nand(nand(nand(A,nand(B,nand(nand(nand(nand(C,V_3),nand(nand(
% nand(V_3,A),C),C)),A),A))),V_4),
% nand(nand(nand(nand(nand(V_3,A),C),C),B),B)),nand(nand(nand(
% nand(
% nand(V_3,A),C),C),B),B)),
% nand(V_4,A)) -> V_4
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [89]
% nand(nand(nand(nand(nand(nand(nand(A,B),C),C),V_3),V_3),B),nand(B,nand(B,
% nand(
% nand(
% nand(V_3,
% nand(
% nand(
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C)),B),B)),
% nand(
% nand(
% nand(
% nand(
% nand(A,B),C),C),V_3),V_3)),B))))
% -> B
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [90]
% nand(nand(nand(nand(nand(A,B),C),C),B),nand(B,nand(B,nand(nand(B,nand(
% nand(
% nand(B,
% nand(
% nand(C,A),
% nand(
% nand(
% nand(A,B),C),C))),
% nand(
% nand(
% nand(A,B),C),C)),B)),
% nand(nand(nand(nand(A,B),C),C),B)))))
% -> B
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [91]
% nand(nand(nand(nand(A,nand(A,nand(B,C))),V_3),V_3),nand(B,nand(V_3,nand(
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(C,A),B)),
% nand(A,
% nand(A,
% nand(B,C))))),
% nand(A,
% nand(A,
% nand(B,C)))),B),B))))
% -> B
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(B,nand(nand(
% nand(
% nand(B,
% nand(
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------