TSTP Solution File: BOO056-10 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO056-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n187.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 291.63s
% 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 : BOO056-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.02/0.24 % Computer : n187.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 10:53:58 CST 2019
% 0.02/0.25 % CPUTime :
% 1.18/1.49 Processing problem /tmp/CiME_34468_n187.star.cs.uiowa.edu
% 1.18/1.49 #verbose 1;
% 1.18/1.49 let F = signature " c,b,a : constant; tuple : 2; nand : 2;";
% 1.18/1.49 let X = vars "A B C";
% 1.18/1.49 let Axioms = equations F X "
% 1.18/1.49 nand(nand(A,nand(nand(B,C),A)),nand(B,nand(C,A))) = B;
% 1.18/1.49 ";
% 1.18/1.49
% 1.18/1.49 let s1 = status F "
% 1.18/1.49 tuple lr_lex;
% 1.18/1.49 c lr_lex;
% 1.18/1.49 b lr_lex;
% 1.18/1.49 a lr_lex;
% 1.18/1.49 nand lr_lex;
% 1.18/1.49 ";
% 1.18/1.49
% 1.18/1.49 let p1 = precedence F "
% 1.18/1.49 nand > tuple > a > b > c";
% 1.18/1.49
% 1.18/1.49 let s2 = status F "
% 1.18/1.49 tuple mul;
% 1.18/1.49 c mul;
% 1.18/1.49 b mul;
% 1.18/1.49 a mul;
% 1.18/1.49 nand mul;
% 1.18/1.49 ";
% 1.18/1.49
% 1.18/1.49 let p2 = precedence F "
% 1.18/1.49 nand > tuple > a = b = c";
% 1.18/1.49
% 1.18/1.49 let o_auto = AUTO Axioms;
% 1.18/1.49
% 1.18/1.49 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.18/1.49
% 1.18/1.49 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);"
% 1.18/1.49 ;
% 1.18/1.49 (*
% 1.18/1.49 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.18/1.49
% 1.18/1.49 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.18/1.49 *)
% 1.18/1.49 #time on;
% 1.18/1.49
% 1.18/1.49 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.18/1.49
% 1.18/1.49 #time off;
% 1.18/1.49
% 1.18/1.49
% 1.18/1.49 let status = if res then "unsatisfiable" else "satisfiable";
% 1.18/1.49 #quit;
% 1.18/1.49 Verbose level is now 1
% 1.18/1.49
% 1.18/1.49 F : signature = <signature>
% 1.18/1.49 X : variable_set = <variable set>
% 1.18/1.49
% 1.18/1.49 Axioms : (F,X) equations = { nand(nand(A,nand(nand(B,C),A)),nand(B,nand(C,A)))
% 1.18/1.49 = B } (1 equation(s))
% 1.18/1.49 s1 : F status = <status>
% 1.18/1.49 p1 : F precedence = <precedence>
% 1.18/1.49 s2 : F status = <status>
% 1.18/1.49 p2 : F precedence = <precedence>
% 1.18/1.49 o_auto : F term_ordering = <term ordering>
% 1.18/1.49 o : F term_ordering = <term ordering>
% 1.18/1.49 Conjectures : (F,X) equations = { tuple(nand(a,nand(b,nand(a,c))),nand(
% 1.18/1.49 nand(a,a),
% 1.18/1.49 nand(b,a)))
% 1.18/1.49 = tuple(nand(nand(nand(c,b),b),a),a) }
% 1.18/1.49 (1 equation(s))
% 1.18/1.49 time is now on
% 1.18/1.49
% 1.18/1.49 Initializing completion ...
% 1.18/1.49 New rule produced :
% 1.18/1.49 [1] nand(nand(A,nand(nand(B,C),A)),nand(B,nand(C,A))) -> B
% 1.18/1.49 Current number of equations to process: 0
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 1
% 1.18/1.49 New rule produced :
% 1.18/1.49 [2]
% 1.18/1.49 nand(nand(nand(A,nand(B,C)),A),nand(C,nand(nand(nand(A,B),C),nand(A,nand(B,C)))))
% 1.18/1.49 -> C
% 1.18/1.49 Current number of equations to process: 3
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 2
% 1.18/1.49 New rule produced :
% 1.18/1.49 [3]
% 1.18/1.49 nand(nand(nand(A,B),nand(nand(nand(B,nand(nand(C,A),B)),C),nand(A,B))),C) ->
% 1.18/1.49 nand(B,nand(nand(C,A),B))
% 1.18/1.49 Current number of equations to process: 13
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 3
% 1.18/1.49 New rule produced :
% 1.18/1.49 [4]
% 1.18/1.49 nand(nand(A,nand(B,A)),nand(nand(C,nand(nand(B,V_3),C)),nand(nand(B,nand(V_3,C)),A)))
% 1.18/1.49 -> nand(C,nand(nand(B,V_3),C))
% 1.18/1.49 Current number of equations to process: 28
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 4
% 1.18/1.49 New rule produced :
% 1.18/1.49 [5]
% 1.18/1.49 nand(nand(nand(A,nand(B,C)),nand(nand(V_3,nand(C,nand(nand(A,B),C))),
% 1.18/1.49 nand(A,nand(B,C)))),nand(V_3,A)) -> V_3
% 1.18/1.49 Current number of equations to process: 59
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 5
% 1.18/1.49 New rule produced :
% 1.18/1.49 [6]
% 1.18/1.49 nand(nand(nand(A,nand(B,C)),nand(C,nand(A,nand(B,C)))),nand(nand(C,nand(
% 1.18/1.49 nand(C,
% 1.18/1.49 nand(A,B)),C)),A))
% 1.18/1.49 -> nand(C,nand(nand(C,nand(A,B)),C))
% 1.18/1.49 Current number of equations to process: 100
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 6
% 1.18/1.49 New rule produced :
% 1.18/1.49 [7]
% 1.18/1.49 nand(nand(A,nand(B,nand(nand(A,C),B))),nand(nand(C,B),nand(nand(nand(
% 1.18/1.49 nand(B,
% 1.18/1.49 nand(
% 1.18/1.49 nand(A,C),B)),A),
% 1.18/1.49 nand(C,B)),A))) ->
% 1.18/1.49 nand(C,B)
% 1.18/1.49 Current number of equations to process: 144
% 1.18/1.49 Current number of ordered equations: 0
% 1.18/1.49 Current number of rules: 7
% 1.18/1.49 New rule produced :
% 1.18/1.49 [8]
% 1.18/1.49 nand(nand(A,nand(B,A)),nand(nand(nand(C,nand(V_3,B)),C),nand(nand(B,nand(
% 1.18/1.49 nand(
% 1.18/1.49 nand(C,V_3),B),
% 1.88/2.22 nand(C,
% 1.88/2.22 nand(V_3,B)))),A)))
% 1.88/2.22 -> nand(nand(C,nand(V_3,B)),C)
% 1.88/2.22 Current number of equations to process: 186
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 8
% 1.88/2.22 New rule produced :
% 1.88/2.22 [9]
% 1.88/2.22 nand(nand(nand(A,B),A),nand(nand(B,nand(C,V_3)),nand(nand(nand(A,nand(V_3,
% 1.88/2.22 nand(
% 1.88/2.22 nand(B,C),V_3))),
% 1.88/2.22 nand(B,nand(C,V_3))),
% 1.88/2.22 nand(A,B)))) ->
% 1.88/2.22 nand(B,nand(C,V_3))
% 1.88/2.22 Current number of equations to process: 252
% 1.88/2.22 Current number of ordered equations: 1
% 1.88/2.22 Current number of rules: 9
% 1.88/2.22 New rule produced :
% 1.88/2.22 [10]
% 1.88/2.22 nand(nand(A,nand(nand(B,nand(nand(C,V_3),nand(nand(nand(V_3,nand(nand(A,C),V_3)),A),
% 1.88/2.22 nand(C,V_3)))),A)),nand(B,nand(V_3,
% 1.88/2.22 nand(
% 1.88/2.22 nand(A,C),V_3))))
% 1.88/2.22 -> B
% 1.88/2.22 Current number of equations to process: 252
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 10
% 1.88/2.22 New rule produced :
% 1.88/2.22 [11]
% 1.88/2.22 nand(nand(nand(A,B),nand(nand(C,nand(nand(B,nand(V_3,V_4)),nand(nand(A,
% 1.88/2.22 nand(V_4,
% 1.88/2.22 nand(
% 1.88/2.22 nand(B,V_3),V_4))),
% 1.88/2.22 nand(B,nand(V_3,V_4))))),
% 1.88/2.22 nand(A,B))),nand(C,A)) -> C
% 1.88/2.22 Current number of equations to process: 416
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 11
% 1.88/2.22 New rule produced :
% 1.88/2.22 [12]
% 1.88/2.22 nand(nand(A,nand(nand(B,nand(nand(C,V_3),B)),A)),nand(nand(V_4,nand(C,V_4)),
% 1.88/2.22 nand(nand(nand(B,nand(
% 1.88/2.22 nand(C,V_3),B)),
% 1.88/2.22 nand(nand(C,nand(V_3,B)),V_4)),A)))
% 1.88/2.22 -> nand(V_4,nand(C,V_4))
% 1.88/2.22 Current number of equations to process: 537
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 12
% 1.88/2.22 New rule produced :
% 1.88/2.22 [13]
% 1.88/2.22 nand(nand(A,nand(nand(nand(B,nand(nand(B,nand(A,C)),B)),nand(nand(C,B),
% 1.88/2.22 nand(nand(nand(B,
% 1.88/2.22 nand(
% 1.88/2.22 nand(A,C),B)),A),
% 1.88/2.22 nand(C,B)))),A)),B)
% 1.88/2.22 -> nand(B,nand(nand(B,nand(A,C)),B))
% 1.88/2.22 Current number of equations to process: 665
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 13
% 1.88/2.22 New rule produced :
% 1.88/2.22 [14]
% 1.88/2.22 nand(nand(nand(A,nand(B,C)),A),nand(nand(V_3,nand(A,V_3)),nand(nand(nand(C,
% 1.88/2.22 nand(
% 1.88/2.22 nand(A,B),C)),
% 1.88/2.22 nand(nand(A,
% 1.88/2.22 nand(B,C)),V_3)),
% 1.88/2.22 nand(A,nand(B,C)))))
% 1.88/2.22 -> nand(V_3,nand(A,V_3))
% 1.88/2.22 Current number of equations to process: 782
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 14
% 1.88/2.22 New rule produced :
% 1.88/2.22 [15]
% 1.88/2.22 nand(nand(nand(nand(nand(A,B),C),nand(A,nand(B,C))),nand(nand(nand(nand(A,
% 1.88/2.22 nand(B,C)),A),C),
% 1.88/2.22 nand(nand(nand(A,B),C),
% 1.88/2.22 nand(A,nand(B,C))))),C)
% 1.88/2.22 -> nand(nand(A,nand(B,C)),A)
% 1.88/2.22 Current number of equations to process: 931
% 1.88/2.22 Current number of ordered equations: 0
% 1.88/2.22 Current number of rules: 15
% 1.88/2.22 New rule produced :
% 3.33/3.61 [16]
% 3.33/3.61 nand(nand(nand(A,nand(nand(nand(B,C),A),nand(B,nand(C,A)))),A),nand(nand(B,
% 3.33/3.61 nand(C,A)),
% 3.33/3.61 nand(B,
% 3.33/3.61 nand(A,
% 3.33/3.61 nand(nand(
% 3.33/3.61 nand(B,C),A),
% 3.33/3.61 nand(B,
% 3.33/3.61 nand(C,A)))))))
% 3.33/3.61 -> nand(B,nand(C,A))
% 3.33/3.61 Current number of equations to process: 1063
% 3.33/3.61 Current number of ordered equations: 0
% 3.33/3.61 Current number of rules: 16
% 3.33/3.61 New rule produced :
% 3.33/3.61 [17]
% 3.33/3.61 nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(V_3,nand(A,V_3)),
% 3.33/3.61 nand(C,nand(nand(A,B),C))),
% 3.33/3.61 nand(nand(A,nand(B,C)),V_3))),nand(C,
% 3.33/3.61 nand(
% 3.33/3.61 nand(A,B),C)))
% 3.33/3.61 -> nand(V_3,nand(A,V_3))
% 3.33/3.61 Current number of equations to process: 1189
% 3.33/3.61 Current number of ordered equations: 1
% 3.33/3.61 Current number of rules: 17
% 3.33/3.61 New rule produced :
% 3.33/3.61 [18]
% 3.33/3.61 nand(nand(A,nand(nand(nand(nand(A,nand(B,C)),nand(nand(V_3,nand(C,nand(
% 3.33/3.61 nand(A,B),C))),
% 3.33/3.61 nand(A,nand(B,C)))),V_3),A)),V_3)
% 3.33/3.61 ->
% 3.33/3.61 nand(nand(A,nand(B,C)),nand(nand(V_3,nand(C,nand(nand(A,B),C))),nand(A,
% 3.33/3.61 nand(B,C))))
% 3.33/3.61 Current number of equations to process: 1189
% 3.33/3.61 Current number of ordered equations: 0
% 3.33/3.61 Current number of rules: 18
% 3.33/3.61 New rule produced :
% 3.33/3.61 [19]
% 3.33/3.61 nand(nand(nand(A,nand(nand(nand(B,C),A),nand(B,nand(C,A)))),nand(nand(V_3,
% 3.33/3.61 nand(
% 3.33/3.61 nand(B,
% 3.33/3.61 nand(C,A)),B)),
% 3.33/3.61 nand(A,nand(
% 3.33/3.61 nand(
% 3.33/3.61 nand(B,C),A),
% 3.33/3.61 nand(B,
% 3.33/3.61 nand(C,A)))))),
% 3.33/3.61 nand(V_3,A)) -> V_3
% 3.33/3.61 Current number of equations to process: 1540
% 3.33/3.61 Current number of ordered equations: 0
% 3.33/3.61 Current number of rules: 19
% 3.33/3.61 New rule produced :
% 3.33/3.61 [20]
% 3.33/3.61 nand(nand(A,nand(nand(B,nand(nand(C,V_3),B)),A)),nand(nand(nand(V_3,B),
% 3.33/3.61 nand(nand(nand(B,
% 3.33/3.61 nand(
% 3.33/3.61 nand(C,V_3),B)),C),
% 3.33/3.61 nand(V_3,B))),nand(C,A)))
% 3.33/3.61 -> nand(nand(V_3,B),nand(nand(nand(B,nand(nand(C,V_3),B)),C),nand(V_3,B)))
% 3.33/3.61 Current number of equations to process: 1736
% 3.33/3.61 Current number of ordered equations: 0
% 3.33/3.61 Current number of rules: 20
% 3.33/3.61 New rule produced :
% 3.33/3.61 [21]
% 3.33/3.61 nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(B,C),nand(nand(nand(C,nand(
% 3.33/3.61 nand(A,B),C)),A),
% 3.33/3.61 nand(B,C))),nand(A,
% 3.33/3.61 nand(A,
% 3.33/3.61 nand(B,C)))))
% 3.33/3.61 -> nand(nand(B,C),nand(nand(nand(C,nand(nand(A,B),C)),A),nand(B,C)))
% 3.33/3.61 Current number of equations to process: 1914
% 3.33/3.61 Current number of ordered equations: 0
% 3.33/3.61 Current number of rules: 21
% 3.33/3.61 New rule produced :
% 3.33/3.61 [22]
% 3.33/3.61 nand(nand(nand(A,B),A),nand(nand(B,C),nand(nand(nand(A,nand(nand(C,nand(V_3,V_4)),
% 3.33/3.61 nand(nand(B,nand(V_4,
% 3.33/3.61 nand(
% 3.33/3.61 nand(C,V_3),V_4))),
% 6.37/6.62 nand(C,nand(V_3,V_4))))),
% 6.37/6.62 nand(B,C)),nand(A,B)))) ->
% 6.37/6.62 nand(B,C)
% 6.37/6.62 Current number of equations to process: 2090
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 22
% 6.37/6.62 New rule produced :
% 6.37/6.62 [23]
% 6.37/6.62 nand(nand(A,nand(B,A)),nand(nand(nand(C,nand(V_3,V_4)),nand(nand(B,nand(V_4,
% 6.37/6.62 nand(
% 6.37/6.62 nand(C,V_3),V_4))),
% 6.37/6.62 nand(C,nand(V_3,V_4)))),
% 6.37/6.62 nand(nand(B,C),A))) ->
% 6.37/6.62 nand(nand(C,nand(V_3,V_4)),nand(nand(B,nand(V_4,nand(nand(C,V_3),V_4))),
% 6.37/6.62 nand(C,nand(V_3,V_4))))
% 6.37/6.62 Current number of equations to process: 2349
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 23
% 6.37/6.62 New rule produced :
% 6.37/6.62 [24]
% 6.37/6.62 nand(nand(A,nand(nand(B,C),A)),nand(nand(V_3,nand(C,nand(nand(V_3,B),C))),
% 6.37/6.62 nand(nand(nand(B,C),nand(nand(nand(nand(C,
% 6.37/6.62 nand(
% 6.37/6.62 nand(V_3,B),C)),V_3),
% 6.37/6.62 nand(B,C)),V_3)),A)))
% 6.37/6.62 -> nand(V_3,nand(C,nand(nand(V_3,B),C)))
% 6.37/6.62 Current number of equations to process: 2637
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 24
% 6.37/6.62 New rule produced :
% 6.37/6.62 [25]
% 6.37/6.62 nand(nand(A,nand(nand(nand(nand(A,nand(B,C)),nand(C,nand(A,nand(B,C)))),
% 6.37/6.62 nand(C,nand(nand(C,nand(A,B)),C))),A)),nand(C,nand(nand(C,
% 6.37/6.62 nand(A,B)),C)))
% 6.37/6.62 -> nand(nand(A,nand(B,C)),nand(C,nand(A,nand(B,C))))
% 6.37/6.62 Current number of equations to process: 2857
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 25
% 6.37/6.62 New rule produced :
% 6.37/6.62 [26]
% 6.37/6.62 nand(nand(nand(nand(A,nand(B,C)),nand(V_3,V_4)),nand(nand(nand(C,nand(
% 6.37/6.62 nand(A,B),C)),
% 6.37/6.62 nand(V_4,nand(nand(
% 6.37/6.62 nand(A,
% 6.37/6.62 nand(B,C)),V_3),V_4))),
% 6.37/6.62 nand(nand(A,nand(B,C)),
% 6.37/6.62 nand(V_3,V_4)))),A) ->
% 6.37/6.62 nand(C,nand(nand(A,B),C))
% 6.37/6.62 Current number of equations to process: 3079
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 26
% 6.37/6.62 New rule produced :
% 6.37/6.62 [27]
% 6.37/6.62 nand(nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)),
% 6.37/6.62 nand(A,nand(nand(B,C),A))),nand(V_3,nand(nand(B,V_3),nand(nand(A,
% 6.37/6.62 nand(nand(B,C),A)),
% 6.37/6.62 nand(nand(B,
% 6.37/6.62 nand(C,A)),V_3)))))
% 6.37/6.62 -> V_3
% 6.37/6.62 Current number of equations to process: 3409
% 6.37/6.62 Current number of ordered equations: 0
% 6.37/6.62 Current number of rules: 27
% 6.37/6.62 New rule produced :
% 6.37/6.62 [28]
% 6.37/6.62 nand(nand(nand(A,nand(B,nand(nand(C,V_3),B))),A),nand(C,nand(nand(nand(A,
% 6.37/6.62 nand(
% 6.37/6.62 nand(V_3,B),
% 6.37/6.62 nand(
% 6.37/6.62 nand(
% 6.37/6.62 nand(B,
% 6.37/6.62 nand(
% 6.37/6.62 nand(C,V_3),B)),C),
% 6.37/6.62 nand(V_3,B)))),C),
% 6.37/6.62 nand(A,nand(B,
% 6.37/6.62 nand(nand(C,V_3),B))))))
% 6.37/6.62 -> C
% 6.37/6.62 Current number of equations to process: 3693
% 10.54/10.79 Current number of ordered equations: 0
% 10.54/10.79 Current number of rules: 28
% 10.54/10.79 New rule produced :
% 10.54/10.79 [29]
% 10.54/10.79 nand(nand(nand(A,nand(B,C)),A),nand(nand(V_3,nand(nand(nand(C,nand(nand(A,B),C)),V_4),V_3)),
% 10.54/10.79 nand(nand(nand(C,nand(nand(A,B),C)),nand(V_4,V_3)),
% 10.54/10.79 nand(A,nand(B,C))))) ->
% 10.54/10.79 nand(V_3,nand(nand(nand(C,nand(nand(A,B),C)),V_4),V_3))
% 10.54/10.79 Current number of equations to process: 3934
% 10.54/10.79 Current number of ordered equations: 0
% 10.54/10.79 Current number of rules: 29
% 10.54/10.79 New rule produced :
% 10.54/10.79 [30]
% 10.54/10.79 nand(nand(A,nand(nand(nand(B,nand(C,V_3)),B),A)),nand(nand(V_4,nand(V_3,V_4)),
% 10.54/10.79 nand(nand(nand(nand(B,
% 10.54/10.79 nand(C,V_3)),B),
% 10.54/10.79 nand(nand(V_3,nand(
% 10.54/10.79 nand(
% 10.54/10.79 nand(B,C),V_3),
% 10.54/10.79 nand(B,
% 10.54/10.79 nand(C,V_3)))),V_4)),A)))
% 10.54/10.79 -> nand(V_4,nand(V_3,V_4))
% 10.54/10.79 Current number of equations to process: 4258
% 10.54/10.79 Current number of ordered equations: 0
% 10.54/10.79 Current number of rules: 30
% 10.54/10.79 New rule produced :
% 10.54/10.79 [31]
% 10.54/10.79 nand(nand(nand(A,B),nand(nand(C,nand(nand(B,V_3),nand(nand(A,nand(nand(V_3,
% 10.54/10.79 nand(V_4,V_5)),
% 10.54/10.79 nand(nand(B,
% 10.54/10.79 nand(V_5,
% 10.54/10.79 nand(
% 10.54/10.79 nand(V_3,V_4),V_5))),
% 10.54/10.79 nand(V_3,
% 10.54/10.79 nand(V_4,V_5))))),
% 10.54/10.79 nand(B,V_3)))),nand(A,B))),
% 10.54/10.79 nand(C,A)) -> C
% 10.54/10.79 Current number of equations to process: 4582
% 10.54/10.79 Current number of ordered equations: 0
% 10.54/10.79 Current number of rules: 31
% 10.54/10.79 New rule produced :
% 10.54/10.79 [32]
% 10.54/10.79 nand(nand(A,nand(nand(B,nand(C,V_3)),A)),nand(nand(nand(V_4,B),V_4),nand(
% 10.54/10.79 nand(
% 10.54/10.79 nand(B,
% 10.54/10.79 nand(C,V_3)),
% 10.54/10.79 nand(
% 10.54/10.79 nand(
% 10.54/10.79 nand(V_4,
% 10.54/10.79 nand(V_3,
% 10.54/10.79 nand(
% 10.54/10.79 nand(B,C),V_3))),
% 10.54/10.79 nand(B,
% 10.54/10.79 nand(C,V_3))),
% 10.54/10.79 nand(V_4,B))),A)))
% 10.54/10.79 -> nand(nand(V_4,B),V_4)
% 10.54/10.79 Current number of equations to process: 3533
% 10.54/10.79 Current number of ordered equations: 0
% 10.54/10.79 Current number of rules: 32
% 10.54/10.79 New rule produced :
% 10.54/10.79 [33]
% 10.54/10.79 nand(nand(A,nand(A,nand(nand(A,nand(B,C)),A))),nand(B,nand(nand(nand(
% 10.54/10.79 nand(A,
% 10.54/10.79 nand(
% 10.54/10.79 nand(A,
% 10.54/10.79 nand(B,C)),A)),
% 10.54/10.79 nand(
% 10.54/10.79 nand(C,A),
% 10.54/10.79 nand(
% 10.54/10.79 nand(
% 10.54/10.79 nand(A,
% 10.54/10.79 nand(
% 20.35/20.63 nand(B,C),A)),B),
% 20.35/20.63 nand(C,A)))),B),A)))
% 20.35/20.63 -> B
% 20.35/20.63 Current number of equations to process: 3922
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 33
% 20.35/20.63 New rule produced :
% 20.35/20.63 [34]
% 20.35/20.63 nand(nand(nand(A,B),A),nand(nand(C,nand(A,C)),nand(nand(nand(nand(B,nand(V_3,V_4)),
% 20.35/20.63 nand(nand(A,nand(V_4,
% 20.35/20.63 nand(
% 20.35/20.63 nand(B,V_3),V_4))),
% 20.35/20.63 nand(B,nand(V_3,V_4)))),
% 20.35/20.63 nand(nand(A,B),C)),
% 20.35/20.63 nand(A,B)))) ->
% 20.35/20.63 nand(C,nand(A,C))
% 20.35/20.63 Current number of equations to process: 4225
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 34
% 20.35/20.63 New rule produced :
% 20.35/20.63 [35]
% 20.35/20.63 nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(nand(nand(V_3,A),B),C)),
% 20.35/20.63 nand(V_3,A)),nand(B,C))),V_3),A)),
% 20.35/20.63 nand(C,nand(nand(nand(V_3,A),B),C))) ->
% 20.35/20.63 nand(nand(B,C),nand(nand(nand(C,nand(nand(nand(V_3,A),B),C)),nand(V_3,A)),
% 20.35/20.63 nand(B,C)))
% 20.35/20.63 Current number of equations to process: 4665
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 35
% 20.35/20.63 New rule produced :
% 20.35/20.63 [36]
% 20.35/20.63 nand(nand(A,nand(nand(B,C),A)),nand(nand(nand(B,C),nand(nand(nand(B,C),
% 20.35/20.63 nand(nand(C,nand(
% 20.35/20.63 nand(A,B),C)),A)),
% 20.35/20.63 nand(B,C))),nand(C,
% 20.35/20.63 nand(nand(A,B),C))))
% 20.35/20.63 ->
% 20.35/20.63 nand(nand(B,C),nand(nand(nand(B,C),nand(nand(C,nand(nand(A,B),C)),A)),
% 20.35/20.63 nand(B,C)))
% 20.35/20.63 Current number of equations to process: 4983
% 20.35/20.63 Current number of ordered equations: 1
% 20.35/20.63 Current number of rules: 36
% 20.35/20.63 New rule produced :
% 20.35/20.63 [37]
% 20.35/20.63 nand(nand(A,nand(nand(B,nand(nand(B,nand(C,V_3)),B)),A)),nand(nand(nand(C,
% 20.35/20.63 nand(V_3,B)),
% 20.35/20.63 nand(B,
% 20.35/20.63 nand(C,
% 20.35/20.63 nand(V_3,B)))),
% 20.35/20.63 nand(nand(nand(B,
% 20.35/20.63 nand(
% 20.35/20.63 nand(B,
% 20.35/20.63 nand(C,V_3)),B)),C),A)))
% 20.35/20.63 -> nand(nand(C,nand(V_3,B)),nand(B,nand(C,nand(V_3,B))))
% 20.35/20.63 Current number of equations to process: 4983
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 37
% 20.35/20.63 New rule produced :
% 20.35/20.63 [38]
% 20.35/20.63 nand(nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)),
% 20.35/20.63 nand(nand(V_4,nand(V_3,nand(B,V_3))),nand(nand(A,nand(nand(B,C),A)),
% 20.35/20.63 nand(nand(B,nand(C,A)),V_3)))),
% 20.35/20.63 nand(V_4,nand(A,nand(nand(B,C),A)))) -> V_4
% 20.35/20.63 Current number of equations to process: 3609
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 38
% 20.35/20.63 New rule produced :
% 20.35/20.63 [39]
% 20.35/20.63 nand(nand(A,nand(nand(B,nand(nand(nand(nand(C,V_3),A),nand(C,nand(V_3,A))),
% 20.35/20.63 nand(nand(nand(nand(C,nand(V_3,A)),C),A),nand(
% 20.35/20.63 nand(
% 20.35/20.63 nand(C,V_3),A),
% 20.35/20.63 nand(C,
% 20.35/20.63 nand(V_3,A)))))),A)),
% 20.35/20.63 nand(B,nand(nand(C,nand(V_3,A)),C))) -> B
% 20.35/20.63 Current number of equations to process: 4089
% 20.35/20.63 Current number of ordered equations: 0
% 20.35/20.63 Current number of rules: 39
% 20.35/20.63 New rule produced :
% 20.35/20.63 [40]
% 20.35/20.63 nand(nand(nand(A,nand(B,nand(nand(C,V_3),B))),nand(nand(V_4,nand(C,nand(
% 30.65/30.91 nand(A,
% 30.65/30.91 nand(
% 30.65/30.91 nand(V_3,B),
% 30.65/30.91 nand(
% 30.65/30.91 nand(
% 30.65/30.91 nand(B,
% 30.65/30.91 nand(
% 30.65/30.91 nand(C,V_3),B)),C),
% 30.65/30.91 nand(V_3,B)))),C))),
% 30.65/30.91 nand(A,nand(B,nand(nand(C,V_3),B))))),
% 30.65/30.91 nand(V_4,A)) -> V_4
% 30.65/30.91 Current number of equations to process: 4479
% 30.65/30.91 Current number of ordered equations: 0
% 30.65/30.91 Current number of rules: 40
% 30.65/30.91 New rule produced :
% 30.65/30.91 [41]
% 30.65/30.91 nand(nand(nand(nand(A,nand(nand(A,nand(B,C)),A)),B),nand(A,nand(nand(A,
% 30.65/30.91 nand(B,C)),A))),
% 30.65/30.91 nand(nand(B,nand(C,A)),nand(nand(A,nand(B,nand(C,A))),nand(nand(A,nand(
% 30.65/30.91 nand(A,
% 30.65/30.91 nand(B,C)),A)),B))))
% 30.65/30.91 -> nand(B,nand(C,A))
% 30.65/30.91 Current number of equations to process: 4924
% 30.65/30.91 Current number of ordered equations: 0
% 30.65/30.91 Current number of rules: 41
% 30.65/30.91 New rule produced :
% 30.65/30.91 [42]
% 30.65/30.91 nand(nand(A,nand(nand(B,nand(C,nand(nand(nand(A,nand(nand(A,nand(C,V_3)),A)),
% 30.65/30.91 nand(nand(V_3,A),nand(nand(nand(A,
% 30.65/30.91 nand(nand(C,V_3),A)),C),
% 30.65/30.91 nand(V_3,A)))),C))),A)),
% 30.65/30.91 nand(B,nand(A,nand(nand(A,nand(C,V_3)),A)))) -> B
% 30.65/30.91 Current number of equations to process: 3674
% 30.65/30.91 Current number of ordered equations: 0
% 30.65/30.91 Current number of rules: 42
% 30.65/30.91 New rule produced :
% 30.65/30.91 [43]
% 30.65/30.91 nand(nand(nand(A,nand(nand(B,C),A)),A),nand(nand(nand(B,nand(C,A)),nand(A,
% 30.65/30.91 nand(B,
% 30.65/30.91 nand(C,A)))),
% 30.65/30.91 nand(nand(nand(A,nand(nand(A,nand(B,C)),A)),B),
% 30.65/30.91 nand(A,nand(nand(B,C),A))))) ->
% 30.65/30.91 nand(nand(B,nand(C,A)),nand(A,nand(B,nand(C,A))))
% 30.65/30.91 Current number of equations to process: 4090
% 30.65/30.91 Current number of ordered equations: 0
% 30.65/30.91 Current number of rules: 43
% 30.65/30.91 New rule produced :
% 30.65/30.91 [44]
% 30.65/30.91 nand(nand(A,nand(nand(B,nand(C,A)),B)),nand(nand(nand(nand(B,C),A),nand(B,
% 30.65/30.91 nand(C,A))),
% 30.65/30.91 nand(nand(nand(nand(nand(B,nand(C,A)),B),A),
% 30.65/30.91 nand(nand(nand(B,C),A),nand(B,
% 30.65/30.91 nand(C,A)))),A)))
% 30.65/30.91 -> nand(nand(nand(B,C),A),nand(B,nand(C,A)))
% 30.65/30.91 Current number of equations to process: 4512
% 30.65/30.91 Current number of ordered equations: 0
% 30.65/30.91 Current number of rules: 44
% 30.65/30.91 New rule produced :
% 30.65/30.91 [45]
% 30.65/30.91 nand(nand(A,nand(B,nand(nand(A,C),B))),nand(nand(V_3,nand(nand(B,nand(
% 30.65/30.91 nand(A,C),B)),V_3)),
% 30.65/30.91 nand(nand(nand(nand(C,B),nand(
% 30.65/30.91 nand(
% 30.65/30.91 nand(B,
% 30.65/30.91 nand(
% 30.65/30.91 nand(A,C),B)),A),
% 30.65/30.91 nand(C,B))),
% 30.65/30.91 nand(A,V_3)),A))) ->
% 30.65/30.91 nand(V_3,nand(nand(B,nand(nand(A,C),B)),V_3))
% 30.65/30.91 Current number of equations to process: 4903
% 30.65/30.91 Current number of ordered equations: 1
% 30.65/30.91 Current number of rules: 45
% 30.65/30.91 New rule produced :
% 30.65/30.91 [46]
% 30.65/30.91 nand(nand(A,nand(nand(B,nand(C,B)),A)),nand(nand(nand(C,nand(V_3,V_4)),C),
% 30.65/30.91 nand(nand(nand(B,nand(C,B)),nand(
% 45.26/45.55 nand(
% 45.26/45.55 nand(V_4,
% 45.26/45.55 nand(
% 45.26/45.55 nand(C,V_3),V_4)),
% 45.26/45.55 nand(
% 45.26/45.55 nand(C,
% 45.26/45.55 nand(V_3,V_4)),B)),
% 45.26/45.55 nand(C,
% 45.26/45.55 nand(V_3,V_4)))),A)))
% 45.26/45.55 -> nand(nand(C,nand(V_3,V_4)),C)
% 45.26/45.55 Current number of equations to process: 4903
% 45.26/45.55 Current number of ordered equations: 0
% 45.26/45.55 Current number of rules: 46
% 45.26/45.55 New rule produced :
% 45.26/45.55 [47]
% 45.26/45.55 nand(nand(A,nand(B,nand(nand(A,C),B))),nand(nand(nand(A,nand(C,B)),A),
% 45.26/45.55 nand(nand(nand(nand(C,B),nand(
% 45.26/45.55 nand(
% 45.26/45.55 nand(B,
% 45.26/45.55 nand(
% 45.26/45.55 nand(A,C),B)),A),
% 45.26/45.55 nand(C,B))),
% 45.26/45.55 nand(A,nand(A,nand(C,B)))),A)))
% 45.26/45.55 -> nand(nand(A,nand(C,B)),A)
% 45.26/45.55 Current number of equations to process: 2162
% 45.26/45.55 Current number of ordered equations: 0
% 45.26/45.55 Current number of rules: 47
% 45.26/45.55 New rule produced :
% 45.26/45.55 [48]
% 45.26/45.55 nand(nand(nand(A,B),nand(nand(C,nand(nand(B,nand(nand(nand(V_3,V_4),B),
% 45.26/45.55 nand(V_3,nand(V_4,B)))),nand(
% 45.26/45.55 nand(A,
% 45.26/45.55 nand(
% 45.26/45.55 nand(V_3,
% 45.26/45.55 nand(V_4,B)),V_3)),
% 45.26/45.55 nand(B,
% 45.26/45.55 nand(
% 45.26/45.55 nand(
% 45.26/45.55 nand(V_3,V_4),B),
% 45.26/45.55 nand(V_3,
% 45.26/45.55 nand(V_4,B))))))),
% 45.26/45.55 nand(A,B))),nand(C,A)) -> C
% 45.26/45.55 Current number of equations to process: 3229
% 45.26/45.55 Current number of ordered equations: 1
% 45.26/45.55 Current number of rules: 48
% 45.26/45.55 New rule produced :
% 45.26/45.55 [49]
% 45.26/45.55 nand(nand(nand(nand(A,nand(nand(A,nand(B,C)),A)),B),nand(nand(V_3,nand(
% 45.26/45.55 nand(B,
% 45.26/45.55 nand(C,A)),
% 45.26/45.55 nand(A,
% 45.26/45.55 nand(B,
% 45.26/45.55 nand(C,A))))),
% 45.26/45.55 nand(nand(A,nand(
% 45.26/45.55 nand(A,
% 45.26/45.55 nand(B,C)),A)),B))),
% 45.26/45.55 nand(V_3,nand(A,nand(nand(A,nand(B,C)),A)))) -> V_3
% 45.26/45.55 Current number of equations to process: 3229
% 45.26/45.55 Current number of ordered equations: 0
% 45.26/45.55 Current number of rules: 49
% 45.26/45.55 New rule produced :
% 45.26/45.55 [50]
% 45.26/45.55 nand(nand(A,nand(nand(B,nand(C,B)),A)),nand(nand(V_3,nand(nand(V_4,nand(
% 45.26/45.55 nand(C,V_5),V_4)),V_3)),
% 45.26/45.55 nand(nand(nand(B,nand(C,B)),nand(
% 45.26/45.55 nand(
% 45.26/45.55 nand(V_4,
% 45.26/45.55 nand(
% 63.46/63.75 nand(C,V_5),V_4)),
% 63.46/63.75 nand(
% 63.46/63.75 nand(C,
% 63.46/63.75 nand(V_5,V_4)),B)),V_3)),A)))
% 63.46/63.75 -> nand(V_3,nand(nand(V_4,nand(nand(C,V_5),V_4)),V_3))
% 63.46/63.75 Current number of equations to process: 4315
% 63.46/63.75 Current number of ordered equations: 1
% 63.46/63.75 Current number of rules: 50
% 63.46/63.75 New rule produced :
% 63.46/63.75 [51]
% 63.46/63.75 nand(nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)),
% 63.46/63.75 nand(V_3,nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)))),
% 63.46/63.75 nand(nand(V_3,nand(nand(V_3,B),V_3)),nand(A,nand(nand(B,C),A)))) ->
% 63.46/63.75 nand(V_3,nand(nand(V_3,B),V_3))
% 63.46/63.75 Current number of equations to process: 4315
% 63.46/63.75 Current number of ordered equations: 0
% 63.46/63.75 Current number of rules: 51
% 63.46/63.75 New rule produced :
% 63.46/63.75 [52]
% 63.46/63.75 nand(nand(A,nand(B,A)),nand(nand(C,nand(nand(B,nand(nand(V_3,V_4),nand(
% 63.46/63.75 nand(
% 63.46/63.75 nand(V_4,
% 63.46/63.75 nand(
% 63.46/63.75 nand(C,V_3),V_4)),C),
% 63.46/63.75 nand(V_3,V_4)))),C)),
% 63.46/63.75 nand(nand(B,nand(V_4,nand(nand(C,V_3),V_4))),A))) ->
% 63.46/63.75 nand(C,nand(nand(B,nand(nand(V_3,V_4),nand(nand(nand(V_4,nand(nand(C,V_3),V_4)),C),
% 63.46/63.75 nand(V_3,V_4)))),C))
% 63.46/63.75 Current number of equations to process: 2952
% 63.46/63.75 Current number of ordered equations: 0
% 63.46/63.75 Current number of rules: 52
% 63.46/63.75 New rule produced :
% 63.46/63.75 [53]
% 63.46/63.75 nand(nand(nand(A,B),A),nand(nand(B,C),nand(nand(nand(A,nand(nand(C,V_3),
% 63.46/63.75 nand(nand(B,nand(
% 63.46/63.75 nand(V_3,
% 63.46/63.75 nand(V_4,V_5)),
% 63.46/63.75 nand(
% 63.46/63.75 nand(C,
% 63.46/63.75 nand(V_5,
% 63.46/63.75 nand(
% 63.46/63.75 nand(V_3,V_4),V_5))),
% 63.46/63.75 nand(V_3,
% 63.46/63.75 nand(V_4,V_5))))),
% 63.46/63.75 nand(C,V_3)))),
% 63.46/63.75 nand(B,C)),nand(A,B)))) ->
% 63.46/63.75 nand(B,C)
% 63.46/63.75 Current number of equations to process: 3517
% 63.46/63.75 Current number of ordered equations: 0
% 63.46/63.75 Current number of rules: 53
% 63.46/63.75 New rule produced :
% 63.46/63.75 [54]
% 63.46/63.75 nand(nand(nand(A,B),A),nand(nand(B,nand(nand(nand(nand(B,nand(C,V_3)),
% 63.46/63.75 nand(nand(A,nand(V_3,nand(
% 63.46/63.75 nand(B,C),V_3))),
% 63.46/63.75 nand(B,nand(C,V_3)))),A),B)),
% 63.46/63.75 nand(A,nand(A,B)))) ->
% 63.46/63.75 nand(B,nand(nand(nand(nand(B,nand(C,V_3)),nand(nand(A,nand(V_3,nand(nand(B,C),V_3))),
% 63.46/63.75 nand(B,nand(C,V_3)))),A),B))
% 63.46/63.75 Current number of equations to process: 4230
% 63.46/63.75 Current number of ordered equations: 0
% 63.46/63.75 Current number of rules: 54
% 63.46/63.75 New rule produced :
% 63.46/63.75 [55]
% 63.46/63.75 nand(nand(nand(A,A),nand(nand(nand(A,A),nand(nand(A,nand(nand(A,A),A)),A)),
% 63.46/63.75 nand(A,A))),nand(nand(A,A),nand(nand(nand(nand(A,A),
% 63.46/63.75 nand(nand(A,
% 63.46/63.75 nand(nand(A,A),A)),A)),
% 63.46/63.75 nand(A,A)),nand(A,
% 63.46/63.75 nand(nand(A,A),A)))))
% 63.46/63.75 -> nand(A,A)
% 63.46/63.75 Current number of equations to process: 4807
% 63.46/63.75 Current number of ordered equations: 0
% 78.94/79.25 Current number of rules: 55
% 78.94/79.25 New rule produced :
% 78.94/79.25 [56]
% 78.94/79.25 nand(nand(nand(A,B),A),nand(nand(B,nand(nand(nand(C,V_3),B),nand(C,nand(V_3,B)))),
% 78.94/79.25 nand(nand(nand(A,nand(nand(C,nand(V_3,B)),C)),
% 78.94/79.25 nand(B,nand(nand(nand(C,V_3),B),nand(C,nand(V_3,B))))),
% 78.94/79.25 nand(A,B)))) ->
% 78.94/79.25 nand(B,nand(nand(nand(C,V_3),B),nand(C,nand(V_3,B))))
% 78.94/79.25 Current number of equations to process: 2024
% 78.94/79.25 Current number of ordered equations: 0
% 78.94/79.25 Current number of rules: 56
% 78.94/79.25 New rule produced :
% 78.94/79.25 [57]
% 78.94/79.25 nand(nand(A,nand(nand(B,nand(C,V_3)),nand(nand(A,nand(V_3,nand(nand(B,C),V_3))),
% 78.94/79.25 nand(B,nand(C,V_3))))),nand(B,nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(B,
% 78.94/79.25 nand(C,V_3)),
% 78.94/79.25 nand(
% 78.94/79.25 nand(A,
% 78.94/79.25 nand(V_3,
% 78.94/79.25 nand(
% 78.94/79.25 nand(B,C),V_3))),
% 78.94/79.25 nand(B,
% 78.94/79.25 nand(C,V_3)))),A),B),A)))
% 78.94/79.25 -> B
% 78.94/79.25 Current number of equations to process: 2602
% 78.94/79.25 Current number of ordered equations: 2
% 78.94/79.25 Current number of rules: 57
% 78.94/79.25 New rule produced :
% 78.94/79.25 [58]
% 78.94/79.25 nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(V_3,V_4),nand(nand(nand(V_4,
% 78.94/79.25 nand(
% 78.94/79.25 nand(A,V_3),V_4)),A),
% 78.94/79.25 nand(V_3,V_4))),
% 78.94/79.25 nand(C,nand(nand(A,B),C))),nand(A,nand(B,C)))),
% 78.94/79.25 nand(V_4,nand(nand(A,V_3),V_4))) ->
% 78.94/79.25 nand(nand(V_3,V_4),nand(nand(nand(V_4,nand(nand(A,V_3),V_4)),A),nand(V_3,V_4)))
% 78.94/79.25 Current number of equations to process: 3158
% 78.94/79.25 Current number of ordered equations: 2
% 78.94/79.25 Current number of rules: 58
% 78.94/79.25 New rule produced :
% 78.94/79.25 [59]
% 78.94/79.25 nand(nand(nand(nand(nand(nand(A,nand(nand(B,C),A)),B),nand(C,A)),B),nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(B,
% 78.94/79.25 nand(A,
% 78.94/79.25 nand(
% 78.94/79.25 nand(B,C),A))),
% 78.94/79.25 nand(C,A)),
% 78.94/79.25 nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(
% 78.94/79.25 nand(A,
% 78.94/79.25 nand(
% 78.94/79.25 nand(B,C),A)),B),
% 78.94/79.25 nand(C,A)),B))),
% 78.94/79.25 nand(C,A)) -> nand(B,nand(A,nand(nand(B,C),A)))
% 78.94/79.25 Current number of equations to process: 3896
% 78.94/79.25 Current number of ordered equations: 1
% 78.94/79.25 Current number of rules: 59
% 78.94/79.25 New rule produced :
% 78.94/79.25 [60]
% 78.94/79.25 nand(nand(nand(nand(A,B),nand(nand(nand(nand(B,nand(nand(C,A),B)),C),
% 78.94/79.25 nand(A,B)),C)),nand(A,B)),nand(C,nand(nand(B,
% 78.94/79.25 nand(
% 78.94/79.25 nand(C,A),B)),
% 78.94/79.25 nand(nand(A,B),
% 78.94/79.25 nand(nand(
% 110.63/110.96 nand(
% 110.63/110.96 nand(B,
% 110.63/110.96 nand(
% 110.63/110.96 nand(C,A),B)),C),
% 110.63/110.96 nand(A,B)),C)))))
% 110.63/110.96 -> C
% 110.63/110.96 Current number of equations to process: 3896
% 110.63/110.96 Current number of ordered equations: 0
% 110.63/110.96 Current number of rules: 60
% 110.63/110.96 New rule produced :
% 110.63/110.96 [61]
% 110.63/110.96 nand(nand(A,nand(nand(B,C),A)),nand(nand(nand(V_3,B),V_3),nand(nand(nand(B,C),
% 110.63/110.96 nand(nand(
% 110.63/110.96 nand(V_3,
% 110.63/110.96 nand(
% 110.63/110.96 nand(C,
% 110.63/110.96 nand(V_4,V_5)),
% 110.63/110.96 nand(
% 110.63/110.96 nand(B,
% 110.63/110.96 nand(V_5,
% 110.63/110.96 nand(
% 110.63/110.96 nand(C,V_4),V_5))),
% 110.63/110.96 nand(C,
% 110.63/110.96 nand(V_4,V_5))))),
% 110.63/110.96 nand(B,C)),
% 110.63/110.96 nand(V_3,B))),A)))
% 110.63/110.96 -> nand(nand(V_3,B),V_3)
% 110.63/110.96 Current number of equations to process: 4853
% 110.63/110.96 Current number of ordered equations: 0
% 110.63/110.96 Current number of rules: 61
% 110.63/110.96 New rule produced :
% 110.63/110.96 [62]
% 110.63/110.96 nand(nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)),
% 110.63/110.96 nand(nand(nand(A,nand(nand(A,nand(B,C)),A)),nand(V_3,nand(B,V_3))),
% 110.63/110.96 nand(nand(A,nand(nand(B,C),A)),nand(nand(B,nand(C,A)),V_3)))),A) ->
% 110.63/110.96 nand(A,nand(nand(A,nand(B,C)),A))
% 110.63/110.96 Current number of equations to process: 3288
% 110.63/110.96 Current number of ordered equations: 0
% 110.63/110.96 Current number of rules: 62
% 110.63/110.96 New rule produced :
% 110.63/110.96 [63]
% 110.63/110.96 nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(V_3,C),V_3),nand(nand(nand(C,
% 110.63/110.96 nand(
% 110.63/110.96 nand(A,B),C)),
% 110.63/110.96 nand(nand(
% 110.63/110.96 nand(V_3,
% 110.63/110.96 nand(C,
% 110.63/110.96 nand(
% 110.63/110.96 nand(C,
% 110.63/110.96 nand(A,B)),C))),
% 110.63/110.96 nand(C,
% 110.63/110.96 nand(
% 110.63/110.96 nand(A,B),C))),
% 110.63/110.96 nand(V_3,C))),
% 110.63/110.96 nand(A,nand(B,C)))))
% 110.63/110.96 -> nand(nand(V_3,C),V_3)
% 110.63/110.96 Current number of equations to process: 4067
% 110.63/110.96 Current number of ordered equations: 0
% 110.63/110.96 Current number of rules: 63
% 110.63/110.96 New rule produced :
% 110.63/110.96 [64]
% 110.63/110.96 nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(nand(B,nand(nand(V_3,nand(
% 110.63/110.96 nand(C,A),
% 110.63/110.96 nand(
% 110.63/110.96 nand(
% 110.63/110.96 nand(A,
% 110.63/110.96 nand(
% 110.63/110.96 nand(B,C),A)),B),
% 110.63/110.96 nand(C,A)))),B)),V_3),
% 139.64/139.98 nand(A,nand(nand(B,C),A)))),V_3) ->
% 139.64/139.98 nand(B,nand(nand(V_3,nand(nand(C,A),nand(nand(nand(A,nand(nand(B,C),A)),B),
% 139.64/139.98 nand(C,A)))),B))
% 139.64/139.98 Current number of equations to process: 4808
% 139.64/139.98 Current number of ordered equations: 0
% 139.64/139.98 Current number of rules: 64
% 139.64/139.98 New rule produced :
% 139.64/139.98 [65]
% 139.64/139.98 nand(nand(nand(A,nand(nand(B,C),A)),nand(V_3,nand(B,V_3))),nand(nand(
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(C,A)),V_3),
% 139.64/139.98 nand(nand(
% 139.64/139.98 nand(
% 139.64/139.98 nand(V_3,
% 139.64/139.98 nand(B,V_3)),
% 139.64/139.98 nand(A,
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,C),A))),
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(C,A)),V_3)),
% 139.64/139.98 nand(A,nand(
% 139.64/139.98 nand(B,C),A)))))
% 139.64/139.98 -> nand(nand(B,nand(C,A)),V_3)
% 139.64/139.98 Current number of equations to process: 3582
% 139.64/139.98 Current number of ordered equations: 0
% 139.64/139.98 Current number of rules: 65
% 139.64/139.98 New rule produced :
% 139.64/139.98 [66]
% 139.64/139.98 nand(A,nand(nand(nand(A,nand(A,A)),A),nand(nand(nand(nand(A,nand(A,A)),
% 139.64/139.98 nand(A,nand(nand(A,A),A))),
% 139.64/139.98 nand(nand(A,nand(A,A)),A)),
% 139.64/139.98 nand(A,nand(nand(A,A),A))))) ->
% 139.64/139.98 nand(nand(A,nand(A,A)),A)
% 139.64/139.98 Current number of equations to process: 3659
% 139.64/139.98 Current number of ordered equations: 0
% 139.64/139.98 Current number of rules: 66
% 139.64/139.98 New rule produced :
% 139.64/139.98 [67]
% 139.64/139.98 nand(nand(A,nand(nand(nand(B,nand(B,B)),B),A)),nand(B,nand(nand(nand(
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(B,B)),B),
% 139.64/139.98 nand(nand(
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(B,B)),
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,B),B))),
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,
% 139.64/139.98 nand(B,B)),B)),
% 139.64/139.98 nand(B,nand(
% 139.64/139.98 nand(B,B),B)))),A)))
% 139.64/139.98 -> B
% 139.64/139.98 Current number of equations to process: 4642
% 139.64/139.98 Current number of ordered equations: 0
% 139.64/139.98 Current number of rules: 67
% 139.64/139.98 New rule produced :
% 139.64/139.98 [68]
% 139.64/139.98 nand(nand(A,nand(nand(nand(nand(A,B),nand(nand(C,nand(nand(B,nand(V_3,V_4)),
% 139.64/139.98 nand(nand(A,nand(V_4,
% 139.64/139.98 nand(nand(B,V_3),V_4))),
% 139.64/139.98 nand(B,nand(V_3,V_4))))),
% 139.64/139.98 nand(A,B))),C),A)),C) ->
% 139.64/139.98 nand(nand(A,B),nand(nand(C,nand(nand(B,nand(V_3,V_4)),nand(nand(A,nand(V_4,
% 139.64/139.98 nand(
% 139.64/139.98 nand(B,V_3),V_4))),
% 139.64/139.98 nand(B,nand(V_3,V_4))))),
% 139.64/139.98 nand(A,B)))
% 207.05/207.41 Current number of equations to process: 4978
% 207.05/207.41 Current number of ordered equations: 0
% 207.05/207.41 Current number of rules: 68
% 207.05/207.41 New rule produced :
% 207.05/207.41 [69]
% 207.05/207.41 nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(C,nand(nand(A,B),C)),
% 207.05/207.41 nand(nand(V_3,nand(V_4,V_5)),
% 207.05/207.41 nand(nand(nand(A,nand(B,C)),
% 207.05/207.41 nand(V_5,nand(nand(V_3,V_4),V_5))),
% 207.05/207.41 nand(V_3,nand(V_4,V_5))))),
% 207.05/207.41 nand(nand(A,nand(B,C)),V_3))),A) ->
% 207.05/207.41 nand(C,nand(nand(A,B),C))
% 207.05/207.41 Current number of equations to process: 3223
% 207.05/207.41 Current number of ordered equations: 0
% 207.05/207.41 Current number of rules: 69
% 207.05/207.41 New rule produced :
% 207.05/207.41 [70]
% 207.05/207.41 nand(nand(A,nand(nand(nand(A,nand(nand(A,nand(A,nand(B,C))),A)),nand(B,
% 207.05/207.41 nand(
% 207.05/207.41 nand(
% 207.05/207.41 nand(A,
% 207.05/207.41 nand(
% 207.05/207.41 nand(A,
% 207.05/207.41 nand(B,C)),A)),
% 207.05/207.41 nand(
% 207.05/207.41 nand(C,A),
% 207.05/207.41 nand(
% 207.05/207.41 nand(
% 207.05/207.41 nand(A,
% 207.05/207.41 nand(
% 207.05/207.41 nand(B,C),A)),B),
% 207.05/207.41 nand(C,A)))),B))),A)),A)
% 207.05/207.41 -> nand(A,nand(nand(A,nand(A,nand(B,C))),A))
% 207.05/207.41 Current number of equations to process: 4255
% 207.05/207.41 Current number of ordered equations: 0
% 207.05/207.41 Current number of rules: 70
% 207.05/207.41 New rule produced :
% 207.05/207.41 [71]
% 207.05/207.41 nand(nand(nand(nand(A,nand(nand(nand(B,C),A),nand(B,nand(C,A)))),V_3),
% 207.05/207.41 nand(nand(nand(V_3,nand(A,V_3)),nand(nand(B,nand(C,A)),B)),nand(
% 207.05/207.41 nand(A,
% 207.05/207.41 nand(
% 207.05/207.41 nand(
% 207.05/207.41 nand(B,C),A),
% 207.05/207.41 nand(B,
% 207.05/207.41 nand(C,A)))),V_3))),
% 207.05/207.41 nand(nand(B,nand(C,A)),B)) -> nand(V_3,nand(A,V_3))
% 207.05/207.41 Current number of equations to process: 4959
% 207.05/207.41 Current number of ordered equations: 0
% 207.05/207.41 Current number of rules: 71
% 207.05/207.41 New rule produced :
% 207.05/207.41 [72]
% 207.05/207.41 nand(nand(nand(A,nand(nand(B,C),A)),nand(nand(V_3,nand(nand(nand(B,nand(C,A)),V_4),
% 207.05/207.41 nand(nand(nand(V_4,
% 207.05/207.41 nand(B,V_4)),
% 207.05/207.41 nand(A,nand(nand(B,C),A))),
% 207.05/207.41 nand(nand(B,nand(C,A)),V_4)))),
% 207.05/207.41 nand(A,nand(nand(B,C),A)))),nand(V_3,
% 207.05/207.41 nand(V_4,
% 207.05/207.41 nand(B,V_4))))
% 207.05/207.41 -> V_3
% 207.05/207.41 Current number of equations to process: 3551
% 207.05/207.41 Current number of ordered equations: 0
% 207.05/207.41 Current number of rules: 72
% 207.05/207.41 New rule produced :
% 207.05/207.41 [73]
% 207.05/207.41 nand(nand(A,nand(B,nand(nand(A,C),B))),nand(nand(nand(A,nand(C,B)),nand(V_3,V_4)),
% 207.05/207.41 nand(nand(nand(nand(B,nand(nand(A,C),B)),
% 207.05/207.41 nand(V_4,nand(nand(nand(A,
% 207.05/207.41 nand(C,B)),V_3),V_4))),
% 207.05/207.41 nand(nand(A,nand(C,B)),nand(V_3,V_4))),A)))
% 207.05/207.41 -> nand(nand(A,nand(C,B)),nand(V_3,V_4))
% 207.05/207.41 Current number of equations to process: 4469
% 207.05/207.41 Current number of ordered equations: 0
% 291.63/291.99 Current number of rules: 73
% 291.63/291.99 New rule produced :
% 291.63/291.99 [74]
% 291.63/291.99 nand(nand(A,nand(nand(B,nand(nand(nand(A,nand(C,V_3)),nand(V_4,V_5)),
% 291.63/291.99 nand(nand(nand(V_3,nand(nand(A,C),V_3)),nand(V_5,
% 291.63/291.99 nand(
% 291.63/291.99 nand(
% 291.63/291.99 nand(A,
% 291.63/291.99 nand(C,V_3)),V_4),V_5))),
% 291.63/291.99 nand(nand(A,nand(C,V_3)),nand(V_4,V_5))))),A)),
% 291.63/291.99 nand(B,nand(V_3,nand(nand(A,C),V_3)))) -> B
% 291.63/291.99 Current number of equations to process: 2713
% 291.63/291.99 Current number of ordered equations: 0
% 291.63/291.99 Current number of rules: 74
% 291.63/291.99 New rule produced :
% 291.63/291.99 [75]
% 291.63/291.99 nand(nand(nand(A,B),nand(nand(C,nand(nand(B,V_3),nand(nand(A,nand(nand(V_3,V_4),
% 291.63/291.99 nand(nand(B,
% 291.63/291.99 nand(
% 291.63/291.99 nand(V_4,
% 291.63/291.99 nand(V_5,V_6)),
% 291.63/291.99 nand(
% 291.63/291.99 nand(V_3,
% 291.63/291.99 nand(V_6,
% 291.63/291.99 nand(
% 291.63/291.99 nand(V_4,V_5),V_6))),
% 291.63/291.99 nand(V_4,
% 291.63/291.99 nand(V_5,V_6))))),
% 291.63/291.99 nand(V_3,V_4)))),
% 291.63/291.99 nand(B,V_3)))),nand(A,B))),
% 291.63/291.99 nand(C,A)) -> C
% 291.63/291.99 Current number of equations to process: 3748
% 291.63/291.99 Current number of ordered equations: 0
% 291.63/291.99 Current number of rules: 75
% 291.63/291.99 New rule produced :
% 291.63/291.99 [76]
% 291.63/291.99 nand(nand(nand(A,B),A),nand(nand(C,nand(A,C)),nand(nand(nand(nand(B,V_3),
% 291.63/291.99 nand(nand(A,nand(
% 291.63/291.99 nand(V_3,
% 291.63/291.99 nand(V_4,V_5)),
% 291.63/291.99 nand(
% 291.63/291.99 nand(B,
% 291.63/291.99 nand(V_5,
% 291.63/291.99 nand(
% 291.63/291.99 nand(V_3,V_4),V_5))),
% 291.63/291.99 nand(V_3,
% 291.63/291.99 nand(V_4,V_5))))),
% 291.63/291.99 nand(B,V_3))),
% 291.63/291.99 nand(nand(A,B),C)),
% 291.63/291.99 nand(A,B)))) ->
% 291.63/291.99 nand(C,nand(A,C))
% 291.63/291.99 Current number of equations to process: 4909
% 291.63/291.99 Current number of ordered equations: 0
% 291.63/291.99 Current number of rules: 76
% 291.63/291.99 New rule produced :
% 291.63/291.99 [77]
% 291.63/291.99 nand(nand(A,nand(nand(B,nand(C,V_3)),A)),nand(nand(nand(V_3,nand(nand(
% 291.63/291.99 nand(B,C),V_3),
% 291.63/291.99 nand(B,nand(C,V_3)))),V_3),
% 291.63/291.99 nand(nand(nand(B,nand(C,V_3)),
% 291.63/291.99 nand(B,nand(V_3,nand(nand(
% 291.63/291.99 nand(B,C),V_3),
% 291.63/291.99 nand(B,
% 291.63/291.99 nand(C,V_3)))))),A)))
% 291.63/291.99 -> nand(nand(V_3,nand(nand(nand(B,C),V_3),nand(B,nand(C,V_3)))),V_3)
% 291.63/291.99 Current number of equations to process: 3948
% 291.63/291.99 Current number of ordered equations: 0
% 291.63/291.99 Current number of rules: 77
% 291.63/291.99 New rule produced :
% 291.63/291.99 [78]
% 291.63/291.99 nand(nand(nand(ACputime limit exceeded (core dumped)
%------------------------------------------------------------------------------