TSTP Solution File: BOO047-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO047-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n185.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 11:42:03 EST 2019

% Result   : Timeout 292.86s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : BOO047-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04  % Command  : tptp2X_and_run_cime %s
% 0.02/0.24  % Computer : n185.star.cs.uiowa.edu
% 0.02/0.24  % Model    : x86_64 x86_64
% 0.02/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24  % Memory   : 32218.5MB
% 0.02/0.24  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.02/0.24  % CPULimit : 300
% 0.02/0.24  % DateTime : Mon Feb 18 10:41:43 CST 2019
% 0.02/0.24  % CPUTime  : 
% 1.18/1.45  Processing problem /tmp/CiME_44289_n185.star.cs.uiowa.edu
% 1.18/1.45  #verbose 1;
% 1.18/1.45                let F = signature " c,b,a : constant;  tuple : 2;  nand : 2;";
% 1.18/1.45  let X = vars "A B C";
% 1.18/1.45  let Axioms = equations F X "
% 1.18/1.45   nand(nand(nand(A,nand(A,B)),A),nand(B,nand(C,A))) = B;
% 1.18/1.45  ";
% 1.18/1.45  
% 1.18/1.45  let s1 = status F "
% 1.18/1.45   tuple lr_lex;
% 1.18/1.45   c lr_lex;
% 1.18/1.45   b lr_lex;
% 1.18/1.45   a lr_lex;
% 1.18/1.45   nand lr_lex;
% 1.18/1.45  ";
% 1.18/1.45  
% 1.18/1.45  let p1 = precedence F "
% 1.18/1.45  nand > tuple > a > b > c";
% 1.18/1.45  
% 1.18/1.45  let s2 = status F "
% 1.18/1.45  tuple mul;
% 1.18/1.45  c mul;
% 1.18/1.45  b mul;
% 1.18/1.45  a mul;
% 1.18/1.45  nand mul;
% 1.18/1.45  ";
% 1.18/1.45  
% 1.18/1.45  let p2 = precedence F "
% 1.18/1.45  nand > tuple > a = b = c";
% 1.18/1.45  
% 1.18/1.45  let o_auto = AUTO Axioms;
% 1.18/1.45  
% 1.18/1.45  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.18/1.45  
% 1.18/1.45  let Conjectures = equations F X " tuple(nand(a,nand(b,nand(a,c))),nand(nand(a,a),nand(b,a))) = tuple(nand(nand(nand(c,b),b),a),a);"
% 1.18/1.45  ;
% 1.18/1.45  (*
% 1.18/1.45  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.18/1.45  
% 1.18/1.45  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.18/1.45  *)
% 1.18/1.45  #time on;
% 1.18/1.45  
% 1.18/1.45  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.18/1.45  
% 1.18/1.45  #time off;
% 1.18/1.45  
% 1.18/1.45  
% 1.18/1.45  let status = if res then "unsatisfiable" else "satisfiable";
% 1.18/1.45  #quit;
% 1.18/1.45  Verbose level is now 1
% 1.18/1.45  
% 1.18/1.45  F : signature = <signature>
% 1.18/1.45  X : variable_set = <variable set>
% 1.18/1.45  
% 1.18/1.45  Axioms : (F,X) equations = { nand(nand(nand(A,nand(A,B)),A),nand(B,nand(C,A)))
% 1.18/1.45                               = B } (1 equation(s))
% 1.18/1.45  s1 : F status = <status>
% 1.18/1.45  p1 : F precedence = <precedence>
% 1.18/1.45  s2 : F status = <status>
% 1.18/1.45  p2 : F precedence = <precedence>
% 1.18/1.45  o_auto : F term_ordering = <term ordering>
% 1.18/1.45  o : F term_ordering = <term ordering>
% 1.18/1.45  Conjectures : (F,X) equations = { tuple(nand(a,nand(b,nand(a,c))),nand(
% 1.18/1.45                                                                    nand(a,a),
% 1.18/1.45                                                                    nand(b,a)))
% 1.18/1.45                                    = tuple(nand(nand(nand(c,b),b),a),a) }
% 1.18/1.45                                    (1 equation(s))
% 1.18/1.45  time is now on
% 1.18/1.45  
% 1.18/1.45  Initializing completion ...
% 1.18/1.45  New rule produced :
% 1.18/1.45  [1] nand(nand(nand(A,nand(A,B)),A),nand(B,nand(C,A))) -> B
% 1.18/1.45  Current number of equations to process: 0
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 1
% 1.18/1.45  New rule produced :
% 1.18/1.45  [2]
% 1.18/1.45  nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3)),nand(A,
% 1.18/1.45                                                                nand(B,C))),
% 1.18/1.45  nand(V_3,A)) -> V_3
% 1.18/1.45  Current number of equations to process: 2
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 2
% 1.18/1.45  New rule produced :
% 1.18/1.45  [3] nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),nand(C,A)) -> C
% 1.18/1.45  Rule
% 1.18/1.45  [2]
% 1.18/1.45  nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3)),nand(A,
% 1.18/1.45                                                                nand(B,C))),
% 1.18/1.45  nand(V_3,A)) -> V_3 collapsed.
% 1.18/1.45  Current number of equations to process: 5
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 2
% 1.18/1.45  New rule produced :
% 1.18/1.45  [4] nand(nand(nand(A,nand(A,B)),A),nand(B,nand(nand(C,nand(C,A)),C))) -> B
% 1.18/1.45  Current number of equations to process: 12
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 3
% 1.18/1.45  New rule produced :
% 1.18/1.45  [5]
% 1.18/1.45  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(B,nand(B,C)),B))),nand(A,B)),C)
% 1.18/1.45  -> nand(nand(B,nand(B,C)),B)
% 1.18/1.45  Current number of equations to process: 23
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 4
% 1.18/1.45  New rule produced :
% 1.18/1.45  [6]
% 1.18/1.45  nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)))),A),C)
% 1.18/1.45  -> nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B))
% 1.18/1.45  Current number of equations to process: 37
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 5
% 1.18/1.45  New rule produced :
% 1.18/1.45  [7]
% 1.18/1.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 1.18/1.45  nand(nand(B,nand(C,A)),nand(A,nand(A,B)))) -> nand(B,nand(C,A))
% 1.18/1.45  Current number of equations to process: 52
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 6
% 1.18/1.45  New rule produced :
% 1.18/1.45  [8]
% 1.18/1.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 1.18/1.45  nand(nand(B,nand(C,A)),nand(V_3,nand(nand(A,nand(A,B)),A)))) ->
% 1.18/1.45  nand(B,nand(C,A))
% 1.18/1.45  Current number of equations to process: 74
% 1.18/1.45  Current number of ordered equations: 0
% 1.18/1.45  Current number of rules: 7
% 1.18/1.45  New rule produced :
% 1.18/1.45  [9]
% 1.18/1.45  nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(A,nand(B,C)),V_3),
% 1.18/1.45                                             nand(nand(C,nand(C,A)),C))),
% 2.21/2.45       nand(nand(A,nand(B,C)),V_3)),A) -> nand(nand(C,nand(C,A)),C)
% 2.21/2.45  Current number of equations to process: 101
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 8
% 2.21/2.45  New rule produced :
% 2.21/2.45  [10]
% 2.21/2.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% 2.21/2.45                                           nand(nand(B,nand(B,C)),B))),
% 2.21/2.45       nand(nand(A,nand(A,B)),A)),C) -> nand(nand(B,nand(B,C)),B)
% 2.21/2.45  Current number of equations to process: 139
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 9
% 2.21/2.45  New rule produced :
% 2.21/2.45  [11]
% 2.21/2.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 2.21/2.45  nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(A,nand(A,B)))) ->
% 2.21/2.45  nand(B,nand(nand(C,nand(C,A)),C))
% 2.21/2.45  Current number of equations to process: 169
% 2.21/2.45  Current number of ordered equations: 1
% 2.21/2.45  Current number of rules: 10
% 2.21/2.45  New rule produced :
% 2.21/2.45  [12]
% 2.21/2.45  nand(nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(B,C),nand(B,nand(B,A)))),
% 2.21/2.45                          nand(B,C)))),A),nand(B,nand(B,A))) ->
% 2.21/2.45  nand(nand(nand(B,C),nand(nand(B,C),nand(B,nand(B,A)))),nand(B,C))
% 2.21/2.45  Current number of equations to process: 173
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 11
% 2.21/2.45  New rule produced :
% 2.21/2.45  [13]
% 2.21/2.45  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(C,B),nand(nand(C,B),A)))),B))),A),
% 2.21/2.45  nand(nand(C,B),nand(nand(C,B),A))) ->
% 2.21/2.45  nand(nand(B,nand(B,nand(nand(C,B),nand(nand(C,B),A)))),B)
% 2.21/2.45  Current number of equations to process: 251
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 12
% 2.21/2.45  New rule produced :
% 2.21/2.45  [14]
% 2.21/2.45  nand(nand(nand(nand(nand(A,B),C),nand(nand(nand(A,B),C),nand(nand(nand(B,V_3),
% 2.21/2.45                                                               nand(nand(B,V_3),A)),
% 2.21/2.45                                                          nand(B,V_3)))),
% 2.21/2.45       nand(nand(A,B),C)),A) ->
% 2.21/2.45  nand(nand(nand(B,V_3),nand(nand(B,V_3),A)),nand(B,V_3))
% 2.21/2.45  Current number of equations to process: 282
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 13
% 2.21/2.45  New rule produced :
% 2.21/2.45  [15]
% 2.21/2.45  nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3)),nand(A,
% 2.21/2.45                                                                nand(B,C))),
% 2.21/2.45  nand(V_3,nand(nand(nand(nand(C,nand(C,A)),C),A),nand(nand(C,nand(C,A)),C))))
% 2.21/2.45  -> V_3
% 2.21/2.45  Current number of equations to process: 339
% 2.21/2.45  Current number of ordered equations: 1
% 2.21/2.45  Current number of rules: 14
% 2.21/2.45  New rule produced :
% 2.21/2.45  [16]
% 2.21/2.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 2.21/2.45  nand(nand(B,nand(C,A)),nand(nand(V_3,nand(V_3,nand(nand(A,nand(A,B)),A))),V_3)))
% 2.21/2.45  -> nand(B,nand(C,A))
% 2.21/2.45  Current number of equations to process: 422
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 15
% 2.21/2.45  New rule produced :
% 2.21/2.45  [17]
% 2.21/2.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 2.21/2.45  nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(V_3,nand(nand(A,nand(A,B)),A))))
% 2.21/2.45  -> nand(B,nand(nand(C,nand(C,A)),C))
% 2.21/2.45  Current number of equations to process: 500
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 16
% 2.21/2.45  New rule produced :
% 2.21/2.45  [18]
% 2.21/2.45  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),C),nand(
% 2.21/2.45                                                                      nand(
% 2.21/2.45                                                                      nand(A,B),
% 2.21/2.45                                                                      nand(
% 2.21/2.45                                                                      nand(A,B),C)),
% 2.21/2.45                                                                      nand(A,B))),
% 2.21/2.45  nand(nand(C,A),nand(nand(A,B),nand(nand(A,B),C)))) -> nand(C,A)
% 2.21/2.45  Current number of equations to process: 570
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 17
% 2.21/2.45  New rule produced :
% 2.21/2.45  [19]
% 2.21/2.45  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 2.21/2.45  nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(nand(V_3,nand(V_3,nand(nand(A,
% 2.21/2.45                                                                     nand(A,B)),A))),V_3)))
% 2.21/2.45  -> nand(B,nand(nand(C,nand(C,A)),C))
% 2.21/2.45  Current number of equations to process: 641
% 2.21/2.45  Current number of ordered equations: 0
% 2.21/2.45  Current number of rules: 18
% 2.21/2.45  New rule produced :
% 2.21/2.45  [20]
% 2.21/2.45  nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),nand(C,nand(nand(
% 3.69/3.91                                                                     nand(
% 3.69/3.91                                                                     nand(
% 3.69/3.91                                                                     nand(B,V_3),
% 3.69/3.91                                                                     nand(
% 3.69/3.91                                                                     nand(B,V_3),A)),
% 3.69/3.91                                                                     nand(B,V_3)),A),
% 3.69/3.91                                                                nand(nand(
% 3.69/3.91                                                                     nand(B,V_3),
% 3.69/3.91                                                                     nand(
% 3.69/3.91                                                                     nand(B,V_3),A)),
% 3.69/3.91                                                                nand(B,V_3)))))
% 3.69/3.91  -> C
% 3.69/3.91  Current number of equations to process: 726
% 3.69/3.91  Current number of ordered equations: 0
% 3.69/3.91  Current number of rules: 19
% 3.69/3.91  New rule produced :
% 3.69/3.91  [21]
% 3.69/3.91  nand(nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(B,C),nand(nand(C,
% 3.69/3.91                                                                  nand(C,
% 3.69/3.91                                                                  nand(V_3,A))),C))),
% 3.69/3.91                          nand(B,C)))),A),nand(nand(C,nand(C,nand(V_3,A))),C))
% 3.69/3.91  ->
% 3.69/3.91  nand(nand(nand(B,C),nand(nand(B,C),nand(nand(C,nand(C,nand(V_3,A))),C))),
% 3.69/3.91  nand(B,C))
% 3.69/3.91  Current number of equations to process: 828
% 3.69/3.91  Current number of ordered equations: 0
% 3.69/3.91  Current number of rules: 20
% 3.69/3.91  New rule produced :
% 3.69/3.91  [22]
% 3.69/3.91  nand(nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),V_3),nand(nand(
% 3.69/3.91                                                                  nand(A,
% 3.69/3.91                                                                  nand(
% 3.69/3.91                                                                  nand(B,
% 3.69/3.91                                                                  nand(B,C)),B)),V_3),
% 3.69/3.91                                                             nand(nand(C,
% 3.69/3.91                                                                  nand(C,A)),C))),
% 3.69/3.91       nand(nand(A,nand(nand(B,nand(B,C)),B)),V_3)),A) ->
% 3.69/3.91  nand(nand(C,nand(C,A)),C)
% 3.69/3.91  Current number of equations to process: 932
% 3.69/3.91  Current number of ordered equations: 0
% 3.69/3.91  Current number of rules: 21
% 3.69/3.91  New rule produced :
% 3.69/3.91  [23]
% 3.69/3.91  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(C,V_3),nand(nand(C,V_3),
% 3.69/3.91                                                                nand(nand(V_3,
% 3.69/3.91                                                                     nand(V_3,A)),V_3))),
% 3.69/3.91                                          nand(C,V_3)))),nand(A,B)),nand(
% 3.69/3.91                                                                    nand(V_3,
% 3.69/3.91                                                                    nand(V_3,A)),V_3))
% 3.69/3.91  ->
% 3.69/3.91  nand(nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(V_3,nand(V_3,A)),V_3))),
% 3.69/3.91  nand(C,V_3))
% 3.69/3.91  Current number of equations to process: 1037
% 3.69/3.91  Current number of ordered equations: 0
% 3.69/3.91  Current number of rules: 22
% 3.69/3.91  New rule produced :
% 3.69/3.91  [24]
% 3.69/3.91  nand(nand(nand(nand(A,nand(A,B)),nand(nand(A,nand(A,B)),nand(nand(nand(
% 3.69/3.91                                                                    nand(A,
% 3.69/3.91                                                                    nand(A,B)),A),B),
% 3.69/3.91                                                          nand(nand(A,nand(A,B)),A)))),
% 3.69/3.91       nand(A,nand(A,B))),nand(B,nand(C,A))) ->
% 3.69/3.91  nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A))
% 3.69/3.91  Current number of equations to process: 1146
% 3.69/3.91  Current number of ordered equations: 0
% 3.69/3.91  Current number of rules: 23
% 3.69/3.91  New rule produced :
% 3.69/3.91  [25]
% 3.69/3.91  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),C),nand(
% 3.69/3.91                                                                      nand(
% 3.69/3.91                                                                      nand(A,B),
% 3.69/3.91                                                                      nand(
% 3.69/3.91                                                                      nand(A,B),C)),
% 3.69/3.91                                                                      nand(A,B))),
% 3.69/3.91  nand(nand(C,A),nand(V_3,nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)))))
% 6.99/7.25  -> nand(C,A)
% 6.99/7.25  Current number of equations to process: 1269
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 24
% 6.99/7.25  New rule produced :
% 6.99/7.25  [26]
% 6.99/7.25  nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(C,nand(C,
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(C,
% 6.99/7.25                                                                      nand(C,A)),C),A))),C))),
% 6.99/7.25       nand(A,nand(B,C))),nand(nand(nand(C,nand(C,A)),C),A)) ->
% 6.99/7.25  nand(nand(C,nand(C,nand(nand(nand(C,nand(C,A)),C),A))),C)
% 6.99/7.25  Current number of equations to process: 1374
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 25
% 6.99/7.25  New rule produced :
% 6.99/7.25  [27]
% 6.99/7.25  nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(A,
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(C,
% 6.99/7.25                                                                      nand(C,A)),C),A))),A))),
% 6.99/7.25       nand(A,nand(B,C))),nand(nand(nand(C,nand(C,A)),C),A)) ->
% 6.99/7.25  nand(nand(A,nand(A,nand(nand(nand(C,nand(C,A)),C),A))),A)
% 6.99/7.25  Current number of equations to process: 1492
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 26
% 6.99/7.25  New rule produced :
% 6.99/7.25  [28]
% 6.99/7.25  nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),nand(nand(A,nand(nand(B,
% 6.99/7.25                                                                    nand(B,C)),B)),V_3)),
% 6.99/7.25       nand(A,nand(nand(B,nand(B,C)),B))),nand(V_3,nand(nand(nand(nand(C,
% 6.99/7.25                                                                  nand(C,A)),C),A),
% 6.99/7.25                                                   nand(nand(C,nand(C,A)),C))))
% 6.99/7.25  -> V_3
% 6.99/7.25  Current number of equations to process: 1617
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 27
% 6.99/7.25  New rule produced :
% 6.99/7.25  [29]
% 6.99/7.25  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(nand(B,C),nand(nand(B,C),
% 6.99/7.25                                                                 nand(V_3,A))),
% 6.99/7.25                                             nand(B,C)))),B))),A),nand(
% 6.99/7.25                                                                  nand(
% 6.99/7.25                                                                  nand(B,C),
% 6.99/7.25                                                                  nand(
% 6.99/7.25                                                                  nand(B,C),
% 6.99/7.25                                                                  nand(V_3,A))),
% 6.99/7.25                                                                  nand(B,C)))
% 6.99/7.25  ->
% 6.99/7.25  nand(nand(B,nand(B,nand(nand(nand(B,C),nand(nand(B,C),nand(V_3,A))),nand(B,C)))),B)
% 6.99/7.25  Current number of equations to process: 1773
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 28
% 6.99/7.25  New rule produced :
% 6.99/7.25  [30]
% 6.99/7.25  nand(nand(nand(nand(A,nand(A,B)),nand(nand(A,nand(A,B)),nand(nand(nand(
% 6.99/7.25                                                                    nand(A,
% 6.99/7.25                                                                    nand(A,B)),A),B),
% 6.99/7.25                                                          nand(nand(A,nand(A,B)),A)))),
% 6.99/7.25       nand(A,nand(A,B))),nand(B,nand(nand(C,nand(C,A)),C))) ->
% 6.99/7.25  nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A))
% 6.99/7.25  Current number of equations to process: 1914
% 6.99/7.25  Current number of ordered equations: 0
% 6.99/7.25  Current number of rules: 29
% 6.99/7.25  New rule produced :
% 6.99/7.25  [31]
% 6.99/7.25  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),C),nand(
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(A,B),
% 6.99/7.25                                                                      nand(
% 6.99/7.25                                                                      nand(A,B),C)),
% 6.99/7.25                                                                      nand(A,B))),
% 6.99/7.25  nand(nand(C,A),nand(nand(V_3,nand(V_3,nand(nand(nand(A,B),nand(nand(A,B),C)),
% 6.99/7.25                                        nand(A,B)))),V_3))) -> nand(C,A)
% 12.70/12.97  Current number of equations to process: 2056
% 12.70/12.97  Current number of ordered equations: 0
% 12.70/12.97  Current number of rules: 30
% 12.70/12.97  New rule produced :
% 12.70/12.97  [32]
% 12.70/12.97  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(C,nand(C,nand(nand(
% 12.70/12.97                                                                  nand(C,V_3),
% 12.70/12.97                                                                  nand(
% 12.70/12.97                                                                  nand(C,V_3),A)),
% 12.70/12.97                                                             nand(C,V_3)))),C))),
% 12.70/12.97       nand(A,B)),nand(nand(nand(C,V_3),nand(nand(C,V_3),A)),nand(C,V_3))) ->
% 12.70/12.97  nand(nand(C,nand(C,nand(nand(nand(C,V_3),nand(nand(C,V_3),A)),nand(C,V_3)))),C)
% 12.70/12.97  Current number of equations to process: 2197
% 12.70/12.97  Current number of ordered equations: 0
% 12.70/12.97  Current number of rules: 31
% 12.70/12.97  New rule produced :
% 12.70/12.97  [33]
% 12.70/12.97  nand(nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(B,C),nand(nand(C,
% 12.70/12.97                                                                  nand(C,
% 12.70/12.97                                                                  nand(
% 12.70/12.97                                                                  nand(V_3,
% 12.70/12.97                                                                  nand(V_3,A)),V_3))),C))),
% 12.70/12.97                          nand(B,C)))),A),nand(nand(C,nand(C,nand(nand(V_3,
% 12.70/12.97                                                                  nand(V_3,A)),V_3))),C))
% 12.70/12.97  ->
% 12.70/12.97  nand(nand(nand(B,C),nand(nand(B,C),nand(nand(C,nand(C,nand(nand(V_3,nand(V_3,A)),V_3))),C))),
% 12.70/12.97  nand(B,C))
% 12.70/12.97  Current number of equations to process: 2336
% 12.70/12.97  Current number of ordered equations: 1
% 12.70/12.97  Current number of rules: 32
% 12.70/12.97  New rule produced :
% 12.70/12.97  [34]
% 12.70/12.97  nand(nand(nand(A,nand(A,B)),A),nand(B,nand(nand(nand(nand(nand(C,V_3),
% 12.70/12.97                                                       nand(nand(C,V_3),
% 12.70/12.97                                                       nand(nand(V_3,nand(V_3,A)),V_3))),
% 12.70/12.97                                                  nand(C,V_3)),nand(nand(V_3,
% 12.70/12.97                                                                    nand(V_3,A)),V_3)),
% 12.70/12.97                                        nand(nand(nand(C,V_3),nand(nand(C,V_3),
% 12.70/12.97                                                              nand(nand(V_3,
% 12.70/12.97                                                                   nand(V_3,A)),V_3))),
% 12.70/12.97                                        nand(C,V_3))))) -> B
% 12.70/12.97  Current number of equations to process: 2499
% 12.70/12.97  Current number of ordered equations: 0
% 12.70/12.97  Current number of rules: 33
% 12.70/12.97  New rule produced :
% 12.70/12.97  [35]
% 12.70/12.97  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(nand(C,nand(C,B)),C),
% 12.70/12.97                                             nand(nand(nand(C,nand(C,B)),C),A)))),B))),A),
% 12.70/12.97  nand(nand(nand(C,nand(C,B)),C),nand(nand(nand(C,nand(C,B)),C),A))) ->
% 12.70/12.97  nand(nand(B,nand(B,nand(nand(nand(C,nand(C,B)),C),nand(nand(nand(C,nand(C,B)),C),A)))),B)
% 12.70/12.97  Current number of equations to process: 2687
% 12.70/12.97  Current number of ordered equations: 0
% 12.70/12.97  Current number of rules: 34
% 12.70/12.97  New rule produced :
% 12.70/12.97  [36]
% 12.70/12.97  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,nand(A,nand(nand(
% 12.70/12.97                                                                  nand(
% 12.70/12.97                                                                  nand(B,C),
% 12.70/12.97                                                                  nand(
% 12.70/12.97                                                                  nand(B,C),A)),
% 12.70/12.97                                                                  nand(B,C)),A))),A))),
% 12.70/12.97       nand(A,B)),nand(nand(nand(nand(B,C),nand(nand(B,C),A)),nand(B,C)),A)) ->
% 12.70/12.97  nand(nand(A,nand(A,nand(nand(nand(nand(B,C),nand(nand(B,C),A)),nand(B,C)),A))),A)
% 12.70/12.97  Current number of equations to process: 2807
% 12.70/12.97  Current number of ordered equations: 0
% 12.70/12.97  Current number of rules: 35
% 12.70/12.97  New rule produced :
% 12.70/12.97  [37]
% 12.70/12.97  nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),nand(nand(A,nand(nand(B,
% 12.70/12.97                                                                    nand(B,C)),B)),
% 12.70/12.97                                                   nand(nand(nand(nand(B,
% 12.70/12.97                                                                  nand(B,C)),B),C),
% 12.70/12.97                                                   nand(nand(B,nand(B,C)),B)))),
% 12.70/12.97       nand(A,nand(nand(B,nand(B,C)),B))),nand(C,nand(V_3,B))) ->
% 16.89/17.14  nand(nand(nand(nand(B,nand(B,C)),B),C),nand(nand(B,nand(B,C)),B))
% 16.89/17.14  Current number of equations to process: 2959
% 16.89/17.14  Current number of ordered equations: 0
% 16.89/17.14  Current number of rules: 36
% 16.89/17.14  New rule produced :
% 16.89/17.14  [38]
% 16.89/17.14  nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),nand(nand(A,nand(nand(B,
% 16.89/17.14                                                                    nand(B,C)),B)),
% 16.89/17.14                                                   nand(nand(C,nand(C,nand(
% 16.89/17.14                                                                      nand(
% 16.89/17.14                                                                      nand(C,
% 16.89/17.14                                                                      nand(C,A)),C),A))),C))),
% 16.89/17.14       nand(A,nand(nand(B,nand(B,C)),B))),nand(nand(nand(C,nand(C,A)),C),A)) ->
% 16.89/17.14  nand(nand(C,nand(C,nand(nand(nand(C,nand(C,A)),C),A))),C)
% 16.89/17.14  Current number of equations to process: 3168
% 16.89/17.14  Current number of ordered equations: 0
% 16.89/17.14  Current number of rules: 37
% 16.89/17.14  New rule produced :
% 16.89/17.14  [39]
% 16.89/17.14  nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),nand(nand(A,nand(nand(B,
% 16.89/17.14                                                                    nand(B,C)),B)),
% 16.89/17.14                                                   nand(nand(A,nand(A,nand(
% 16.89/17.14                                                                      nand(
% 16.89/17.14                                                                      nand(C,
% 16.89/17.14                                                                      nand(C,A)),C),A))),A))),
% 16.89/17.14       nand(A,nand(nand(B,nand(B,C)),B))),nand(nand(nand(C,nand(C,A)),C),A)) ->
% 16.89/17.14  nand(nand(A,nand(A,nand(nand(nand(C,nand(C,A)),C),A))),A)
% 16.89/17.14  Current number of equations to process: 3335
% 16.89/17.14  Current number of ordered equations: 0
% 16.89/17.14  Current number of rules: 38
% 16.89/17.14  New rule produced :
% 16.89/17.14  [40]
% 16.89/17.14  nand(nand(nand(A,nand(A,B)),A),nand(B,nand(nand(nand(nand(C,nand(C,nand(
% 16.89/17.14                                                                     nand(
% 16.89/17.14                                                                     nand(C,V_3),
% 16.89/17.14                                                                     nand(
% 16.89/17.14                                                                     nand(C,V_3),A)),
% 16.89/17.14                                                                     nand(C,V_3)))),C),
% 16.89/17.14                                             nand(nand(nand(C,V_3),nand(
% 16.89/17.14                                                                   nand(C,V_3),A)),
% 16.89/17.14                                             nand(C,V_3))),nand(nand(C,
% 16.89/17.14                                                                nand(C,
% 16.89/17.14                                                                nand(nand(
% 16.89/17.14                                                                     nand(C,V_3),
% 16.89/17.14                                                                     nand(
% 16.89/17.14                                                                     nand(C,V_3),A)),
% 16.89/17.14                                                                nand(C,V_3)))),C))))
% 16.89/17.14  -> B
% 16.89/17.14  Current number of equations to process: 3497
% 16.89/17.14  Current number of ordered equations: 1
% 16.89/17.14  Current number of rules: 39
% 16.89/17.14  New rule produced :
% 16.89/17.14  [41]
% 16.89/17.14  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(nand(B,C),nand(nand(B,C),
% 16.89/17.14                                                                 nand(nand(V_3,
% 16.89/17.14                                                                      nand(V_3,A)),V_3))),
% 16.89/17.14                                             nand(B,C)))),B))),A),nand(
% 16.89/17.14                                                                  nand(
% 16.89/17.14                                                                  nand(B,C),
% 16.89/17.14                                                                  nand(
% 16.89/17.14                                                                  nand(B,C),
% 16.89/17.14                                                                  nand(
% 16.89/17.14                                                                  nand(V_3,
% 16.89/17.14                                                                  nand(V_3,A)),V_3))),
% 16.89/17.14                                                                  nand(B,C)))
% 16.89/17.14  ->
% 16.89/17.14  nand(nand(B,nand(B,nand(nand(nand(B,C),nand(nand(B,C),nand(nand(V_3,nand(V_3,A)),V_3))),
% 16.89/17.14                     nand(B,C)))),B)
% 16.89/17.14  Current number of equations to process: 3502
% 16.89/17.14  Current number of ordered equations: 0
% 29.80/30.01  Current number of rules: 40
% 29.80/30.01  New rule produced :
% 29.80/30.01  [42]
% 29.80/30.01  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(B,nand(B,C)),B))),
% 29.80/30.01                 nand(A,B)),nand(nand(B,nand(B,C)),B)),nand(nand(nand(A,B),
% 29.80/30.01                                                            nand(nand(A,B),
% 29.80/30.01                                                            nand(nand(B,
% 29.80/30.01                                                                 nand(B,C)),B))),
% 29.80/30.01                                                       nand(A,B))),nand(C,
% 29.80/30.01                                                                   nand(
% 29.80/30.01                                                                   nand(A,B),
% 29.80/30.01                                                                   nand(
% 29.80/30.01                                                                   nand(A,B),
% 29.80/30.01                                                                   nand(
% 29.80/30.01                                                                   nand(B,
% 29.80/30.01                                                                   nand(B,C)),B)))))
% 29.80/30.01  -> C
% 29.80/30.01  Current number of equations to process: 3878
% 29.80/30.01  Current number of ordered equations: 0
% 29.80/30.01  Current number of rules: 41
% 29.80/30.01  New rule produced :
% 29.80/30.01  [43]
% 29.80/30.01  nand(nand(nand(nand(A,nand(nand(B,nand(B,C)),B)),nand(nand(A,nand(nand(B,
% 29.80/30.01                                                                    nand(B,C)),B)),
% 29.80/30.01                                                   nand(nand(nand(nand(B,
% 29.80/30.01                                                                  nand(B,C)),B),C),
% 29.80/30.01                                                   nand(nand(B,nand(B,C)),B)))),
% 29.80/30.01       nand(A,nand(nand(B,nand(B,C)),B))),nand(C,nand(nand(V_3,nand(V_3,B)),V_3)))
% 29.80/30.01  -> nand(nand(nand(nand(B,nand(B,C)),B),C),nand(nand(B,nand(B,C)),B))
% 29.80/30.01  Current number of equations to process: 4053
% 29.80/30.01  Current number of ordered equations: 0
% 29.80/30.01  Current number of rules: 42
% 29.80/30.01  New rule produced :
% 29.80/30.01  [44]
% 29.80/30.01  nand(nand(nand(A,nand(A,nand(nand(nand(nand(B,nand(B,C)),B),nand(nand(
% 29.80/30.01                                                                   nand(B,
% 29.80/30.01                                                                   nand(B,C)),B),
% 29.80/30.01                                                              nand(nand(C,
% 29.80/30.01                                                                   nand(C,
% 29.80/30.01                                                                   nand(V_3,A))),C))),
% 29.80/30.01                          nand(nand(B,nand(B,C)),B)))),A),nand(nand(C,nand(C,
% 29.80/30.01                                                                      nand(V_3,A))),C))
% 29.80/30.01  ->
% 29.80/30.01  nand(nand(nand(nand(B,nand(B,C)),B),nand(nand(nand(B,nand(B,C)),B),nand(
% 29.80/30.01                                                                     nand(C,
% 29.80/30.01                                                                     nand(C,
% 29.80/30.01                                                                     nand(V_3,A))),C))),
% 29.80/30.01  nand(nand(B,nand(B,C)),B))
% 29.80/30.01  Current number of equations to process: 4284
% 29.80/30.01  Current number of ordered equations: 0
% 29.80/30.01  Current number of rules: 43
% 29.80/30.01  New rule produced :
% 29.80/30.01  [45]
% 29.80/30.01  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(nand(A,nand(C,V_3)),V_4),
% 29.80/30.01                                               nand(nand(nand(A,nand(C,V_3)),V_4),
% 29.80/30.01                                               nand(nand(V_3,nand(V_3,A)),V_3))),
% 29.80/30.01                                          nand(nand(A,nand(C,V_3)),V_4)))),
% 29.80/30.01       nand(A,B)),nand(nand(V_3,nand(V_3,A)),V_3)) ->
% 29.80/30.01  nand(nand(nand(nand(A,nand(C,V_3)),V_4),nand(nand(nand(A,nand(C,V_3)),V_4),
% 29.80/30.01                                          nand(nand(V_3,nand(V_3,A)),V_3))),
% 29.80/30.01  nand(nand(A,nand(C,V_3)),V_4))
% 29.80/30.01  Current number of equations to process: 4497
% 29.80/30.01  Current number of ordered equations: 0
% 29.80/30.01  Current number of rules: 44
% 29.80/30.01  New rule produced :
% 29.80/30.01  [46]
% 29.80/30.01  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(nand(C,nand(C,V_3)),C),
% 29.80/30.01                                               nand(nand(nand(C,nand(C,V_3)),C),
% 29.80/30.01                                               nand(nand(V_3,nand(V_3,A)),V_3))),
% 29.80/30.01                                          nand(nand(C,nand(C,V_3)),C)))),
% 29.80/30.01       nand(A,B)),nand(nand(V_3,nand(V_3,A)),V_3)) ->
% 29.80/30.01  nand(nand(nand(nand(C,nand(C,V_3)),C),nand(nand(nand(C,nand(C,V_3)),C),
% 43.58/43.80                                        nand(nand(V_3,nand(V_3,A)),V_3))),
% 43.58/43.80  nand(nand(C,nand(C,V_3)),C))
% 43.58/43.80  Current number of equations to process: 4783
% 43.58/43.80  Current number of ordered equations: 0
% 43.58/43.80  Current number of rules: 45
% 43.58/43.80  New rule produced :
% 43.58/43.80  [47]
% 43.58/43.80  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 43.58/43.80  nand(nand(B,nand(C,A)),nand(nand(nand(nand(nand(A,V_3),nand(nand(A,V_3),
% 43.58/43.80                                                         nand(A,nand(A,B)))),
% 43.58/43.80                                   nand(A,V_3)),nand(A,nand(A,B))),nand(
% 43.58/43.80                                                                   nand(
% 43.58/43.80                                                                   nand(A,V_3),
% 43.58/43.80                                                                   nand(
% 43.58/43.80                                                                   nand(A,V_3),
% 43.58/43.80                                                                   nand(A,
% 43.58/43.80                                                                   nand(A,B)))),
% 43.58/43.80                                                                   nand(A,V_3)))))
% 43.58/43.80  -> nand(B,nand(C,A))
% 43.58/43.80  Current number of equations to process: 2435
% 43.58/43.80  Current number of ordered equations: 0
% 43.58/43.80  Current number of rules: 46
% 43.58/43.80  New rule produced :
% 43.58/43.80  [48]
% 43.58/43.80  nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 43.58/43.80            nand(B,nand(C,A))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% 43.58/43.80                                                                      nand(A,
% 43.58/43.80                                                                      nand(A,B)),A))),
% 43.58/43.80  nand(nand(nand(B,nand(C,A)),nand(A,nand(A,B))),nand(nand(nand(A,nand(A,B)),A),B)))
% 43.58/43.80  -> nand(nand(B,nand(C,A)),nand(A,nand(A,B)))
% 43.58/43.80  Current number of equations to process: 2697
% 43.58/43.80  Current number of ordered equations: 0
% 43.58/43.80  Current number of rules: 47
% 43.58/43.80  New rule produced :
% 43.58/43.80  [49]
% 43.58/43.80  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(B,C),nand(nand(B,C),
% 43.58/43.80                                                              nand(nand(
% 43.58/43.80                                                                   nand(
% 43.58/43.80                                                                   nand(B,C),
% 43.58/43.80                                                                   nand(
% 43.58/43.80                                                                   nand(B,C),A)),
% 43.58/43.80                                                                   nand(B,C)),A))),
% 43.58/43.80                                          nand(B,C)))),nand(A,B)),nand(
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(B,C),
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(B,C),A)),
% 43.58/43.80                                                                  nand(B,C)),A))
% 43.58/43.80  ->
% 43.58/43.80  nand(nand(nand(B,C),nand(nand(B,C),nand(nand(nand(nand(B,C),nand(nand(B,C),A)),
% 43.58/43.80                                          nand(B,C)),A))),nand(B,C))
% 43.58/43.80  Current number of equations to process: 2934
% 43.58/43.80  Current number of ordered equations: 0
% 43.58/43.80  Current number of rules: 48
% 43.58/43.80  New rule produced :
% 43.58/43.80  [50]
% 43.58/43.80  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(nand(C,A),nand(nand(C,A),
% 43.58/43.80                                                                 nand(nand(A,
% 43.58/43.80                                                                      nand(A,
% 43.58/43.80                                                                      nand(V_3,B))),A))),
% 43.58/43.80                                             nand(C,A)))),B))),A),nand(
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(C,A),
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(C,A),
% 43.58/43.80                                                                  nand(
% 43.58/43.80                                                                  nand(A,
% 43.58/43.80                                                                  nand(A,
% 43.58/43.80                                                                  nand(V_3,B))),A))),
% 58.65/58.87                                                                  nand(C,A)))
% 58.65/58.87  ->
% 58.65/58.87  nand(nand(B,nand(B,nand(nand(nand(C,A),nand(nand(C,A),nand(nand(A,nand(A,
% 58.65/58.87                                                                    nand(V_3,B))),A))),
% 58.65/58.87                     nand(C,A)))),B)
% 58.65/58.87  Current number of equations to process: 3127
% 58.65/58.87  Current number of ordered equations: 0
% 58.65/58.87  Current number of rules: 49
% 58.65/58.87  New rule produced :
% 58.65/58.87  [51]
% 58.65/58.87  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(B,nand(B,C)),B))),
% 58.65/58.87                 nand(A,B)),nand(nand(B,nand(B,C)),B)),nand(nand(nand(A,B),
% 58.65/58.87                                                            nand(nand(A,B),
% 58.65/58.87                                                            nand(nand(B,
% 58.65/58.87                                                                 nand(B,C)),B))),
% 58.65/58.87                                                       nand(A,B))),nand(C,
% 58.65/58.87                                                                   nand(V_3,
% 58.65/58.87                                                                   nand(
% 58.65/58.87                                                                   nand(
% 58.65/58.87                                                                   nand(A,B),
% 58.65/58.87                                                                   nand(
% 58.65/58.87                                                                   nand(A,B),
% 58.65/58.87                                                                   nand(
% 58.65/58.87                                                                   nand(B,
% 58.65/58.87                                                                   nand(B,C)),B))),
% 58.65/58.87                                                                   nand(A,B)))))
% 58.65/58.87  -> C
% 58.65/58.87  Current number of equations to process: 3375
% 58.65/58.87  Current number of ordered equations: 0
% 58.65/58.87  Current number of rules: 50
% 58.65/58.87  New rule produced :
% 58.65/58.87  [52]
% 58.65/58.87  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(nand(A,C),V_3),
% 58.65/58.87                                               nand(nand(nand(A,C),V_3),
% 58.65/58.87                                               nand(nand(nand(C,V_4),nand(
% 58.65/58.87                                                                     nand(C,V_4),A)),
% 58.65/58.87                                               nand(C,V_4)))),nand(nand(A,C),V_3)))),
% 58.65/58.87       nand(A,B)),nand(nand(nand(C,V_4),nand(nand(C,V_4),A)),nand(C,V_4))) ->
% 58.65/58.87  nand(nand(nand(nand(A,C),V_3),nand(nand(nand(A,C),V_3),nand(nand(nand(C,V_4),
% 58.65/58.87                                                              nand(nand(C,V_4),A)),
% 58.65/58.87                                                         nand(C,V_4)))),
% 58.65/58.87  nand(nand(A,C),V_3))
% 58.65/58.87  Current number of equations to process: 3607
% 58.65/58.87  Current number of ordered equations: 0
% 58.65/58.87  Current number of rules: 51
% 58.65/58.87  New rule produced :
% 58.65/58.87  [53]
% 58.65/58.87  nand(nand(nand(A,nand(A,nand(nand(nand(B,C),nand(nand(B,C),nand(nand(
% 58.65/58.87                                                                  nand(V_3,A),
% 58.65/58.87                                                                  nand(
% 58.65/58.87                                                                  nand(V_3,A),
% 58.65/58.87                                                                  nand(
% 58.65/58.87                                                                  nand(A,
% 58.65/58.87                                                                  nand(A,B)),A))),
% 58.65/58.87                                                             nand(V_3,A)))),
% 58.65/58.87                          nand(B,C)))),A),nand(nand(nand(V_3,A),nand(nand(V_3,A),
% 58.65/58.87                                                                nand(nand(A,
% 58.65/58.87                                                                     nand(A,B)),A))),
% 58.65/58.87                                          nand(V_3,A))) ->
% 58.65/58.87  nand(nand(nand(B,C),nand(nand(B,C),nand(nand(nand(V_3,A),nand(nand(V_3,A),
% 58.65/58.87                                                           nand(nand(A,
% 58.65/58.87                                                                nand(A,B)),A))),
% 58.65/58.87                                     nand(V_3,A)))),nand(B,C))
% 58.65/58.87  Current number of equations to process: 3943
% 58.65/58.87  Current number of ordered equations: 0
% 58.65/58.87  Current number of rules: 52
% 58.65/58.87  New rule produced :
% 58.65/58.87  [54]
% 58.65/58.87  nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),
% 58.65/58.87                                    nand(A,B)))),A),nand(nand(nand(A,B),
% 58.65/58.87                                                         nand(nand(A,B),C)),
% 77.89/78.15                                                    nand(A,B))),nand(nand(A,
% 77.89/78.15                                                                     nand(A,
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(A,B),
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(A,B),C)),
% 77.89/78.15                                                                     nand(A,B)))),A)),
% 77.89/78.15  nand(C,nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)))))) ->
% 77.89/78.15  C
% 77.89/78.15  Current number of equations to process: 4200
% 77.89/78.15  Current number of ordered equations: 1
% 77.89/78.15  Current number of rules: 53
% 77.89/78.15  New rule produced :
% 77.89/78.15  [55]
% 77.89/78.15  nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(C,nand(C,A))),V_3),nand(
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(A,
% 77.89/78.15                                                                     nand(B,C)),
% 77.89/78.15                                                                     nand(C,
% 77.89/78.15                                                                     nand(C,A))),V_3),
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(C,
% 77.89/78.15                                                                     nand(C,A)),C),A),
% 77.89/78.15                                                                     nand(
% 77.89/78.15                                                                     nand(C,
% 77.89/78.15                                                                     nand(C,A)),C)))),
% 77.89/78.15       nand(nand(nand(A,nand(B,C)),nand(C,nand(C,A))),V_3)),nand(A,nand(B,C)))
% 77.89/78.15  -> nand(nand(nand(nand(C,nand(C,A)),C),A),nand(nand(C,nand(C,A)),C))
% 77.89/78.15  Current number of equations to process: 4203
% 77.89/78.15  Current number of ordered equations: 0
% 77.89/78.15  Current number of rules: 54
% 77.89/78.15  New rule produced :
% 77.89/78.15  [56]
% 77.89/78.15  nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A),nand(
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(A,
% 77.89/78.15                                                                   nand(A,
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(B,
% 77.89/78.15                                                                   nand(B,C)),B))),A),
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(B,
% 77.89/78.15                                                                   nand(B,C)),B),C),
% 77.89/78.15                                                                   nand(
% 77.89/78.15                                                                   nand(B,
% 77.89/78.15                                                                   nand(B,C)),B)))),
% 77.89/78.15       nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A)),nand(C,nand(V_3,B)))
% 77.89/78.15  -> nand(nand(nand(nand(B,nand(B,C)),B),C),nand(nand(B,nand(B,C)),B))
% 77.89/78.15  Current number of equations to process: 4712
% 77.89/78.15  Current number of ordered equations: 0
% 77.89/78.15  Current number of rules: 55
% 77.89/78.15  New rule produced :
% 77.89/78.15  [57]
% 77.89/78.15  nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 77.89/78.15  nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(nand(nand(nand(nand(A,V_3),
% 77.89/78.15                                                        nand(nand(A,V_3),
% 77.89/78.15                                                        nand(A,nand(A,B)))),
% 77.89/78.15                                                   nand(A,V_3)),nand(A,
% 77.89/78.15                                                                nand(A,B))),
% 103.59/103.82                                         nand(nand(nand(A,V_3),nand(nand(A,V_3),
% 103.59/103.82                                                               nand(A,nand(A,B)))),
% 103.59/103.82                                         nand(A,V_3))))) ->
% 103.59/103.82  nand(B,nand(nand(C,nand(C,A)),C))
% 103.59/103.82  Current number of equations to process: 2206
% 103.59/103.82  Current number of ordered equations: 0
% 103.59/103.82  Current number of rules: 56
% 103.59/103.82  New rule produced :
% 103.59/103.82  [58]
% 103.59/103.82  nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 103.59/103.82            nand(B,nand(C,A))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% 103.59/103.82                                                                      nand(A,
% 103.59/103.82                                                                      nand(A,B)),A))),
% 103.59/103.82  nand(nand(nand(B,nand(C,A)),nand(V_3,nand(nand(A,nand(A,B)),A))),nand(
% 103.59/103.82                                                                   nand(
% 103.59/103.82                                                                   nand(A,
% 103.59/103.82                                                                   nand(A,B)),A),B)))
% 103.59/103.82  -> nand(nand(B,nand(C,A)),nand(V_3,nand(nand(A,nand(A,B)),A)))
% 103.59/103.82  Current number of equations to process: 2515
% 103.59/103.82  Current number of ordered equations: 0
% 103.59/103.82  Current number of rules: 57
% 103.59/103.82  New rule produced :
% 103.59/103.82  [59]
% 103.59/103.82  nand(nand(nand(A,nand(A,nand(nand(nand(nand(nand(B,A),nand(C,V_3)),V_4),
% 103.59/103.82                               nand(nand(nand(nand(B,A),nand(C,V_3)),V_4),
% 103.59/103.82                               nand(nand(V_3,nand(V_3,nand(B,A))),V_3))),
% 103.59/103.82                          nand(nand(nand(B,A),nand(C,V_3)),V_4)))),A),nand(
% 103.59/103.82                                                                      nand(V_3,
% 103.59/103.82                                                                      nand(V_3,
% 103.59/103.82                                                                      nand(B,A))),V_3))
% 103.59/103.82  ->
% 103.59/103.82  nand(nand(nand(nand(nand(B,A),nand(C,V_3)),V_4),nand(nand(nand(nand(B,A),
% 103.59/103.82                                                            nand(C,V_3)),V_4),
% 103.59/103.82                                                  nand(nand(V_3,nand(V_3,
% 103.59/103.82                                                                nand(B,A))),V_3))),
% 103.59/103.82  nand(nand(nand(B,A),nand(C,V_3)),V_4))
% 103.59/103.82  Current number of equations to process: 2826
% 103.59/103.82  Current number of ordered equations: 0
% 103.59/103.82  Current number of rules: 58
% 103.59/103.82  New rule produced :
% 103.59/103.82  [60]
% 103.59/103.82  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(C,nand(C,nand(nand(A,
% 103.59/103.82                                                                  nand(A,
% 103.59/103.82                                                                  nand(
% 103.59/103.82                                                                  nand(
% 103.59/103.82                                                                  nand(A,B),
% 103.59/103.82                                                                  nand(
% 103.59/103.82                                                                  nand(A,B),
% 103.59/103.82                                                                  nand(V_3,C))),
% 103.59/103.82                                                                  nand(A,B)))),A))),C))),
% 103.59/103.82       nand(A,B)),nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),
% 103.59/103.82                                                         nand(V_3,C))),
% 103.59/103.82                                     nand(A,B)))),A)) ->
% 103.59/103.82  nand(nand(C,nand(C,nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),
% 103.59/103.82                                                            nand(V_3,C))),
% 103.59/103.82                                        nand(A,B)))),A))),C)
% 103.59/103.82  Current number of equations to process: 3157
% 103.59/103.82  Current number of ordered equations: 0
% 103.59/103.82  Current number of rules: 59
% 103.59/103.82  New rule produced :
% 103.59/103.82  [61]
% 103.59/103.82  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(B,nand(B,C)),B))),
% 103.59/103.82                 nand(A,B)),nand(nand(B,nand(B,C)),B)),nand(nand(nand(A,B),
% 103.59/103.82                                                            nand(nand(A,B),
% 103.59/103.82                                                            nand(nand(B,
% 103.59/103.82                                                                 nand(B,C)),B))),
% 103.59/103.82                                                       nand(A,B))),nand(C,
% 103.59/103.82                                                                   nand(
% 103.59/103.82                                                                   nand(V_3,
% 103.59/103.82                                                                   nand(V_3,
% 129.37/129.63                                                                   nand(
% 129.37/129.63                                                                   nand(
% 129.37/129.63                                                                   nand(A,B),
% 129.37/129.63                                                                   nand(
% 129.37/129.63                                                                   nand(A,B),
% 129.37/129.63                                                                   nand(
% 129.37/129.63                                                                   nand(B,
% 129.37/129.63                                                                   nand(B,C)),B))),
% 129.37/129.63                                                                   nand(A,B)))),V_3)))
% 129.37/129.63  -> C
% 129.37/129.63  Current number of equations to process: 3446
% 129.37/129.63  Current number of ordered equations: 0
% 129.37/129.63  Current number of rules: 60
% 129.37/129.63  New rule produced :
% 129.37/129.63  [62]
% 129.37/129.63  nand(nand(nand(A,nand(A,nand(nand(nand(nand(B,nand(B,C)),B),nand(nand(
% 129.37/129.63                                                                   nand(B,
% 129.37/129.63                                                                   nand(B,C)),B),
% 129.37/129.63                                                              nand(nand(C,
% 129.37/129.63                                                                   nand(C,
% 129.37/129.63                                                                   nand(
% 129.37/129.63                                                                   nand(V_3,
% 129.37/129.63                                                                   nand(V_3,A)),V_3))),C))),
% 129.37/129.63                          nand(nand(B,nand(B,C)),B)))),A),nand(nand(C,nand(C,
% 129.37/129.63                                                                      nand(
% 129.37/129.63                                                                      nand(V_3,
% 129.37/129.63                                                                      nand(V_3,A)),V_3))),C))
% 129.37/129.63  ->
% 129.37/129.63  nand(nand(nand(nand(B,nand(B,C)),B),nand(nand(nand(B,nand(B,C)),B),nand(
% 129.37/129.63                                                                     nand(C,
% 129.37/129.63                                                                     nand(C,
% 129.37/129.63                                                                     nand(
% 129.37/129.63                                                                     nand(V_3,
% 129.37/129.63                                                                     nand(V_3,A)),V_3))),C))),
% 129.37/129.63  nand(nand(B,nand(B,C)),B))
% 129.37/129.63  Current number of equations to process: 3744
% 129.37/129.63  Current number of ordered equations: 0
% 129.37/129.63  Current number of rules: 61
% 129.37/129.63  New rule produced :
% 129.37/129.63  [63]
% 129.37/129.63  nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),
% 129.37/129.63                                                        nand(nand(A,nand(A,C)),A))),
% 129.37/129.63                                    nand(A,B)))),A),nand(nand(nand(A,B),
% 129.37/129.63                                                         nand(nand(A,B),
% 129.37/129.63                                                         nand(nand(A,nand(A,C)),A))),
% 129.37/129.63                                                    nand(A,B))),nand(nand(A,
% 129.37/129.63                                                                     nand(A,
% 129.37/129.63                                                                     nand(
% 129.37/129.63                                                                     nand(
% 129.37/129.63                                                                     nand(A,B),
% 129.37/129.63                                                                     nand(
% 129.37/129.63                                                                     nand(A,B),
% 129.37/129.63                                                                     nand(
% 129.37/129.63                                                                     nand(A,
% 129.37/129.63                                                                     nand(A,C)),A))),
% 129.37/129.63                                                                     nand(A,B)))),A)),C)
% 129.37/129.63  -> nand(nand(A,nand(A,C)),A)
% 129.37/129.63  Current number of equations to process: 4052
% 129.37/129.63  Current number of ordered equations: 0
% 129.37/129.63  Current number of rules: 62
% 129.37/129.63  New rule produced :
% 129.37/129.63  [64]
% 129.37/129.63  nand(nand(nand(nand(nand(A,nand(A,B)),C),nand(nand(nand(A,nand(A,B)),C),
% 129.37/129.63                                           nand(nand(B,nand(B,nand(nand(
% 129.37/129.63                                                                   nand(A,V_3),
% 129.37/129.63                                                                   nand(
% 162.47/162.78                                                                   nand(A,V_3),
% 162.47/162.78                                                                   nand(A,
% 162.47/162.78                                                                   nand(A,B)))),
% 162.47/162.78                                                              nand(A,V_3)))),B))),
% 162.47/162.78       nand(nand(A,nand(A,B)),C)),nand(nand(nand(A,V_3),nand(nand(A,V_3),
% 162.47/162.78                                                        nand(A,nand(A,B)))),
% 162.47/162.78                                  nand(A,V_3))) ->
% 162.47/162.78  nand(nand(B,nand(B,nand(nand(nand(A,V_3),nand(nand(A,V_3),nand(A,nand(A,B)))),
% 162.47/162.78                     nand(A,V_3)))),B)
% 162.47/162.78  Current number of equations to process: 4330
% 162.47/162.78  Current number of ordered equations: 0
% 162.47/162.78  Current number of rules: 63
% 162.47/162.78  New rule produced :
% 162.47/162.78  [65]
% 162.47/162.78  nand(nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),C),nand(
% 162.47/162.78                                                                      nand(
% 162.47/162.78                                                                      nand(A,B),
% 162.47/162.78                                                                      nand(
% 162.47/162.78                                                                      nand(A,B),C)),
% 162.47/162.78                                                                      nand(A,B))),
% 162.47/162.78  nand(nand(C,A),nand(nand(nand(nand(B,nand(B,nand(nand(A,B),nand(nand(A,B),C)))),B),
% 162.47/162.78                      nand(nand(A,B),nand(nand(A,B),C))),nand(nand(B,nand(B,
% 162.47/162.78                                                                     nand(
% 162.47/162.78                                                                     nand(A,B),
% 162.47/162.78                                                                     nand(
% 162.47/162.78                                                                     nand(A,B),C)))),B))))
% 162.47/162.78  -> nand(C,A)
% 162.47/162.78  Current number of equations to process: 4588
% 162.47/162.78  Current number of ordered equations: 0
% 162.47/162.78  Current number of rules: 64
% 162.47/162.78  New rule produced :
% 162.47/162.78  [66]
% 162.47/162.78  nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),
% 162.47/162.78                                    nand(A,B)))),A),nand(nand(nand(A,B),
% 162.47/162.78                                                         nand(nand(A,B),C)),
% 162.47/162.78                                                    nand(A,B))),nand(nand(A,
% 162.47/162.78                                                                     nand(A,
% 162.47/162.78                                                                     nand(
% 162.47/162.78                                                                     nand(
% 162.47/162.78                                                                     nand(A,B),
% 162.47/162.78                                                                     nand(
% 162.47/162.78                                                                     nand(A,B),C)),
% 162.47/162.78                                                                     nand(A,B)))),A)),
% 162.47/162.78  nand(C,nand(V_3,nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),
% 162.47/162.78                                     nand(A,B)))),A)))) -> C
% 162.47/162.78  Current number of equations to process: 4912
% 162.47/162.78  Current number of ordered equations: 0
% 162.47/162.78  Current number of rules: 65
% 162.47/162.78  New rule produced :
% 162.47/162.78  [67]
% 162.47/162.78  nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(nand(nand(A,B),
% 162.47/162.78                                                        nand(nand(A,B),C)),
% 162.47/162.78                                                   nand(nand(nand(nand(
% 162.47/162.78                                                                  nand(A,B),
% 162.47/162.78                                                                  nand(
% 162.47/162.78                                                                  nand(A,B),C)),
% 162.47/162.78                                                             nand(A,B)),C),
% 162.47/162.78                                                   nand(nand(nand(A,B),
% 162.47/162.78                                                        nand(nand(A,B),C)),
% 162.47/162.78                                                   nand(A,B))))),nand(nand(A,B),
% 162.47/162.78                                                                 nand(nand(A,B),C))),
% 162.47/162.78  nand(C,A)) ->
% 162.47/162.78  nand(nand(nand(nand(nand(A,B),nand(nand(A,B),C)),nand(A,B)),C),nand(nand(
% 162.47/162.78                                                                      nand(A,B),
% 162.47/162.78                                                                      nand(
% 162.47/162.78                                                                      nand(A,B),C)),
% 210.36/210.63                                                                 nand(A,B)))
% 210.36/210.63  Current number of equations to process: 2873
% 210.36/210.63  Current number of ordered equations: 0
% 210.36/210.63  Current number of rules: 66
% 210.36/210.63  New rule produced :
% 210.36/210.63  [68]
% 210.36/210.63  nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A),nand(
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(A,
% 210.36/210.63                                                                   nand(A,
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(B,
% 210.36/210.63                                                                   nand(B,C)),B))),A),
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(B,
% 210.36/210.63                                                                   nand(B,C)),B),C),
% 210.36/210.63                                                                   nand(
% 210.36/210.63                                                                   nand(B,
% 210.36/210.63                                                                   nand(B,C)),B)))),
% 210.36/210.63       nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A)),nand(C,nand(nand(V_3,
% 210.36/210.63                                                                      nand(V_3,B)),V_3)))
% 210.36/210.63  -> nand(nand(nand(nand(B,nand(B,C)),B),C),nand(nand(B,nand(B,C)),B))
% 210.36/210.63  Current number of equations to process: 3186
% 210.36/210.63  Current number of ordered equations: 0
% 210.36/210.63  Current number of rules: 67
% 210.36/210.63  New rule produced :
% 210.36/210.63  [69]
% 210.36/210.63  nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 210.36/210.63            nand(B,nand(C,A))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% 210.36/210.63                                                                      nand(A,
% 210.36/210.63                                                                      nand(A,B)),A))),
% 210.36/210.63  nand(nand(nand(B,nand(C,A)),nand(A,nand(A,B))),nand(V_3,nand(nand(nand(
% 210.36/210.63                                                                    nand(A,
% 210.36/210.63                                                                    nand(A,B)),A),B),
% 210.36/210.63                                                          nand(nand(A,nand(A,B)),A)))))
% 210.36/210.63  -> nand(nand(B,nand(C,A)),nand(A,nand(A,B)))
% 210.36/210.63  Current number of equations to process: 3574
% 210.36/210.63  Current number of ordered equations: 0
% 210.36/210.63  Current number of rules: 68
% 210.36/210.63  New rule produced :
% 210.36/210.63  [70]
% 210.36/210.63  nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 210.36/210.63            nand(B,nand(nand(C,nand(C,A)),C))),nand(nand(nand(nand(A,nand(A,B)),A),B),
% 210.36/210.63                                               nand(nand(A,nand(A,B)),A))),
% 210.36/210.63  nand(nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(A,nand(A,B))),nand(nand(
% 210.36/210.63                                                                      nand(A,
% 210.36/210.63                                                                      nand(A,B)),A),B)))
% 210.36/210.63  -> nand(nand(B,nand(nand(C,nand(C,A)),C)),nand(A,nand(A,B)))
% 210.36/210.63  Current number of equations to process: 3933
% 210.36/210.63  Current number of ordered equations: 0
% 210.36/210.63  Current number of rules: 69
% 210.36/210.63  New rule produced :
% 210.36/210.63  [71]
% 210.36/210.63  nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(C,V_3),nand(nand(C,V_3),
% 210.36/210.63                                                                nand(nand(A,
% 210.36/210.63                                                                     nand(A,
% 210.36/210.63                                                                     nand(
% 210.36/210.63                                                                     nand(
% 210.36/210.63                                                                     nand(A,B),
% 210.36/210.63                                                                     nand(
% 210.36/210.63                                                                     nand(A,B),C)),
% 210.36/210.63                                                                     nand(A,B)))),A))),
% 210.36/210.63                                          nand(C,V_3)))),nand(A,B)),nand(
% 210.36/210.63                                                                    nand(A,
% 210.36/210.63                                                                    nand(A,
% 242.95/243.20                                                                    nand(
% 242.95/243.20                                                                    nand(
% 242.95/243.20                                                                    nand(A,B),
% 242.95/243.20                                                                    nand(
% 242.95/243.20                                                                    nand(A,B),C)),
% 242.95/243.20                                                                    nand(A,B)))),A))
% 242.95/243.20  ->
% 242.95/243.20  nand(nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(A,nand(A,nand(nand(nand(A,B),
% 242.95/243.20                                                                 nand(nand(A,B),C)),
% 242.95/243.20                                                            nand(A,B)))),A))),
% 242.95/243.20  nand(C,V_3))
% 242.95/243.20  Current number of equations to process: 4264
% 242.95/243.20  Current number of ordered equations: 0
% 242.95/243.20  Current number of rules: 70
% 242.95/243.20  New rule produced :
% 242.95/243.20  [72]
% 242.95/243.20  nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(nand(nand(C,A),nand(nand(C,A),
% 242.95/243.20                                                                 nand(nand(A,
% 242.95/243.20                                                                      nand(A,
% 242.95/243.20                                                                      nand(
% 242.95/243.20                                                                      nand(V_3,
% 242.95/243.20                                                                      nand(V_3,B)),V_3))),A))),
% 242.95/243.20                                             nand(C,A)))),B))),A),nand(
% 242.95/243.20                                                                  nand(
% 242.95/243.20                                                                  nand(C,A),
% 242.95/243.20                                                                  nand(
% 242.95/243.20                                                                  nand(C,A),
% 242.95/243.20                                                                  nand(
% 242.95/243.20                                                                  nand(A,
% 242.95/243.20                                                                  nand(A,
% 242.95/243.20                                                                  nand(
% 242.95/243.20                                                                  nand(V_3,
% 242.95/243.20                                                                  nand(V_3,B)),V_3))),A))),
% 242.95/243.20                                                                  nand(C,A)))
% 242.95/243.20  ->
% 242.95/243.20  nand(nand(B,nand(B,nand(nand(nand(C,A),nand(nand(C,A),nand(nand(A,nand(A,
% 242.95/243.20                                                                    nand(
% 242.95/243.20                                                                    nand(V_3,
% 242.95/243.20                                                                    nand(V_3,B)),V_3))),A))),
% 242.95/243.20                     nand(C,A)))),B)
% 242.95/243.20  Current number of equations to process: 4584
% 242.95/243.20  Current number of ordered equations: 0
% 242.95/243.20  Current number of rules: 71
% 242.95/243.20  New rule produced :
% 242.95/243.20  [73]
% 242.95/243.20  nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% 242.95/243.20            nand(B,nand(C,A))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% 242.95/243.20                                                                      nand(A,
% 242.95/243.20                                                                      nand(A,B)),A))),
% 242.95/243.20  nand(nand(nand(B,nand(C,A)),nand(nand(V_3,nand(V_3,nand(nand(A,nand(A,B)),A))),V_3)),
% 242.95/243.20  nand(nand(nand(A,nand(A,B)),A),B))) ->
% 242.95/243.20  nand(nand(B,nand(C,A)),nand(nand(V_3,nand(V_3,nand(nand(A,nand(A,B)),A))),V_3))
% 242.95/243.20  Current number of equations to process: 4918
% 242.95/243.20  Current number of ordered equations: 0
% 242.95/243.20  Current number of rules: 72
% 242.95/243.20  New rule produced :
% 242.95/243.20  [74]
% 242.95/243.20  nand(nand(nand(A,nand(A,nand(nand(nand(nand(nand(B,A),C),V_3),nand(nand(
% 242.95/243.20                                                                     nand(
% 242.95/243.20                                                                     nand(B,A),C),V_3),
% 242.95/243.20                                                                nand(nand(
% 242.95/243.20                                                                     nand(C,V_4),
% 242.95/243.20                                                                     nand(
% 242.95/243.20                                                                     nand(C,V_4),
% 242.95/243.20                                                                     nand(B,A))),
% 242.95/243.20                                                                nand(C,V_4)))),
% 242.95/243.20                          nand(nand(nand(B,A),C),V_3)))),A),nand(nand(nand(C,V_4),
% 292.86/293.20                                                                 nand(nand(C,V_4),
% 292.86/293.20                                                                 nand(B,A))),
% 292.86/293.20                                                            nand(C,V_4))) ->
% 292.86/293.20  nand(nand(nand(nand(nand(B,A),C),V_3),nand(nand(nand(nand(B,A),C),V_3),
% 292.86/293.20                                        nand(nand(nand(C,V_4),nand(nand(C,V_4),
% 292.86/293.20                                                              nand(B,A))),
% 292.86/293.20                                        nand(C,V_4)))),nand(nand(nand(B,A),C),V_3))
% 292.86/293.20  Current number of equations to process: 3950
% 292.86/293.20  Current number of ordered equations: 0
% 292.86/293.20  Current number of rules: 73
% 292.86/293.20  New rule produced :
% 292.86/293.20  [75]
% 292.86/293.20  nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),
% 292.86/293.20                                    nand(A,B)))),A),nand(nand(nand(A,B),
% 292.86/293.20                                                         nand(nand(A,B),C)),
% 292.86/293.20                                                    nand(A,B))),nand(nand(A,
% 292.86/293.20                                                                     nand(A,
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(A,B),
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(A,B),C)),
% 292.86/293.20                                                                     nand(A,B)))),A)),
% 292.86/293.20  nand(C,nand(nand(V_3,nand(V_3,nand(nand(A,nand(A,nand(nand(nand(A,B),
% 292.86/293.20                                                        nand(nand(A,B),C)),
% 292.86/293.20                                                   nand(A,B)))),A))),V_3))) ->
% 292.86/293.20  C
% 292.86/293.20  Current number of equations to process: 4359
% 292.86/293.20  Current number of ordered equations: 0
% 292.86/293.20  Current number of rules: 74
% 292.86/293.20  New rule produced :
% 292.86/293.20  [76]
% 292.86/293.20  nand(nand(nand(nand(nand(A,nand(B,C)),nand(C,nand(C,A))),nand(nand(nand(A,
% 292.86/293.20                                                                     nand(B,C)),
% 292.86/293.20                                                                nand(C,
% 292.86/293.20                                                                nand(C,A))),V_3)),
% 292.86/293.20       nand(nand(A,nand(B,C)),nand(C,nand(C,A)))),nand(V_3,nand(nand(nand(
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(C,
% 292.86/293.20                                                                     nand(C,A)),C),A),
% 292.86/293.20                                                                     nand(
% 292.86/293.20                                                                     nand(C,
% 292.86/293.20                                                                     nand(C,A)),C)),
% 292.86/293.20                                                                nand(A,
% 292.86/293.20                                                                nand(B,C))),
% 292.86/293.20                                                           nand(nand(nand(
% 292.86/293.20                                                                     nand(C,
% 292.86/293.20                                                                     nand(C,A)),C),A),
% 292.86/293.20                                                           nand(nand(C,
% 292.86/293.20                                                                nand(C,A)),C)))))
% 292.86/293.20  -> V_3
% 292.86/293.20  Current number of equations to process: 4690
% 292.86/293.20  Current number of ordered equations: 0
% 292.86/293.20  Current number of rules: 75
% 292.86/293.20  New rule produced :
% 292.86/293.20  [77]
% 292.86/293.20  nand(nand(nand(A,nand(A,B)),A),nand(B,nand(nand(nand(nand(nand(nand(A,
% 292.86/293.20                                                                 nand(C,V_3)),V_4),
% 292.86/293.20                                                       nand(nand(nand(A,
% 292.86/293.20                                                                 nand(C,V_3)),V_4),
% 292.86/293.20                                                       nand(nand(V_3,nand(V_3,A)),V_3))),
% 292.86/293.20                                                  nand(nand(A,nand(C,V_3)),V_4)),
% 292.86/293.20                                             nand(nand(V_3,nand(V_3,A)),V_3)),
% 292.86/293.20                                     Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------