TSTP Solution File: BOO096-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO096-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n049.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:19:24 EDT 2014
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : BOO096-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n049.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 00:31:53 CDT 2014
% % CPUTime : 300.04
% Processing problem /tmp/CiME_32220_n049.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant; nand : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,C))) = B;
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% nand lr_lex;
% ";
%
% let p1 = precedence F "
% nand > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% nand mul;
% ";
%
% let p2 = precedence F "
% nand > a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " nand(a,nand(b,nand(a,c))) = nand(nand(nand(c,b),b),a);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,C)))
% = B } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { nand(a,nand(b,nand(a,c))) =
% nand(nand(nand(c,b),b),a) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1] nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,C))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2] nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(A,B),C)),B))) -> A
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] nand(nand(A,B),nand(A,nand(nand(nand(A,B),A),B))) -> A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),A),B))),A),A) ->
% nand(A,B)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(A,B),A),B)))) ->
% A
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [6]
% nand(nand(nand(A,nand(A,B)),A),nand(nand(A,nand(A,B)),nand(A,A))) ->
% nand(A,nand(A,B))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% nand(nand(nand(A,nand(nand(nand(B,nand(A,C)),B),nand(B,C))),A),A) ->
% nand(nand(B,nand(A,C)),B)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(A,B),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,B),A),B)))))
% -> nand(A,B)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% nand(nand(nand(A,B),A),nand(nand(B,C),nand(A,nand(B,nand(nand(nand(B,C),B),C)))))
% -> nand(B,C)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] nand(nand(nand(nand(A,B),A),nand(A,B)),nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] nand(A,nand(nand(A,nand(A,B)),A)) -> nand(A,nand(A,B))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] nand(nand(A,B),nand(nand(nand(A,B),A),nand(A,B))) -> nand(nand(A,B),A)
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% nand(A,nand(nand(A,nand(nand(B,nand(A,C)),B)),A)) ->
% nand(A,nand(nand(B,nand(A,C)),B))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% nand(nand(nand(A,nand(nand(B,nand(A,C)),B)),A),nand(A,nand(nand(B,nand(A,C)),B)))
% -> A
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% nand(nand(nand(A,nand(B,nand(B,C))),A),nand(B,nand(A,nand(nand(B,nand(B,C)),B))))
% -> B
% Current number of equations to process: 276
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced :
% [17]
% nand(nand(nand(A,nand(B,nand(nand(A,nand(A,C)),A))),A),nand(B,nand(A,
% nand(A,C)))) ->
% B
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18]
% nand(nand(nand(nand(A,nand(A,B)),nand(A,A)),nand(A,nand(A,B))),nand(A,
% nand(A,B))) ->
% A
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,A),C)),nand(A,B))) ->
% nand(nand(A,B),nand(nand(C,A),C))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,nand(nand(A,B),V_3)),C)),B)))
% -> A
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,A),C)),B))) -> A
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,C)),nand(A,nand(nand(nand(A,B),A),B)))))
% -> nand(A,B)
% Rule
% [9]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,B),A),B)))))
% -> nand(A,B) collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(B,C)),A)))
% -> nand(A,B)
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,A),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% nand(nand(A,nand(nand(B,nand(A,C)),B)),nand(A,nand(nand(nand(B,nand(A,C)),B),
% nand(B,C)))) -> A
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(
% nand(A,B),C)),B))))
% -> A
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% nand(nand(nand(nand(A,B),nand(C,nand(A,nand(nand(nand(A,B),A),B)))),nand(A,B)),
% nand(C,A)) -> C
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,nand(A,B)),A),nand(nand(A,
% nand(A,B)),A))))
% -> A
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% nand(A,nand(nand(A,nand(nand(B,nand(nand(C,nand(A,V_3)),C)),B)),A)) ->
% nand(A,nand(nand(B,nand(nand(C,nand(A,V_3)),C)),B))
% Current number of equations to process: 1045
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(
% nand(C,A),C)),B))))
% -> A
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% nand(nand(nand(A,B),A),nand(nand(nand(C,nand(B,V_3)),C),nand(A,nand(B,
% nand(C,V_3)))))
% -> nand(nand(C,nand(B,V_3)),C)
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% nand(A,nand(nand(nand(B,nand(A,C)),B),nand(nand(A,nand(A,V_3)),nand(A,
% nand(B,C)))))
% -> nand(nand(B,nand(A,C)),B)
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% nand(nand(nand(nand(A,B),nand(nand(C,A),C)),nand(A,B)),nand(nand(A,B),
% nand(nand(C,A),C))) ->
% nand(A,B)
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34]
% nand(nand(nand(A,nand(nand(nand(A,nand(A,B)),A),nand(nand(A,nand(A,B)),A))),A),A)
% -> nand(nand(A,nand(A,B)),A)
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% nand(nand(nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),nand(nand(nand(A,B),A),B)))),A),A)
% -> nand(A,nand(A,B))
% Current number of equations to process: 1755
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% nand(nand(nand(nand(A,B),A),nand(A,B)),nand(nand(nand(A,B),A),nand(nand(A,B),
% nand(A,B)))) ->
% nand(nand(A,B),A)
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37]
% nand(nand(nand(A,B),A),nand(nand(nand(nand(A,B),A),nand(B,C)),nand(nand(A,B),A)))
% -> nand(nand(nand(A,B),A),nand(B,C))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,nand(nand(V_3,nand(
% nand(A,B),V_4)),V_3)),C)),B)))
% -> A
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,nand(nand(V_3,A),V_3)),C)),B)))
% -> A
% Current number of equations to process: 2024
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,C)),nand(A,nand(nand(nand(A,B),
% nand(nand(A,B),V_3)),B)))))
% -> nand(A,B)
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% nand(nand(nand(A,B),A),nand(nand(B,C),nand(A,nand(B,nand(nand(nand(B,C),
% nand(nand(B,C),V_3)),C)))))
% -> nand(B,C)
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42]
% nand(nand(nand(A,nand(nand(B,C),B)),A),nand(nand(B,C),nand(A,nand(nand(
% nand(B,C),B),
% nand(B,C))))) ->
% nand(B,C)
% Current number of equations to process: 2556
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [43]
% nand(nand(nand(nand(nand(A,B),A),nand(nand(A,B),nand(A,B))),nand(nand(A,B),A)),
% nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,nand(
% nand(A,B),V_3)),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(A,V_3)),C)),nand(A,
% nand(nand(
% nand(A,B),A),B)))))
% -> nand(A,B)
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(
% nand(C,
% nand(B,V_3)),C)),A)))
% -> nand(A,B)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47]
% nand(nand(nand(A,B),A),nand(nand(B,C),nand(A,nand(B,nand(nand(nand(B,C),
% nand(nand(V_3,B),V_3)),C)))))
% -> nand(B,C)
% Current number of equations to process: 3182
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,C)),nand(A,nand(nand(nand(A,B),
% nand(nand(V_3,A),V_3)),B)))))
% -> nand(A,B)
% Current number of equations to process: 3397
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,nand(
% nand(V_3,A),V_3)),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50]
% nand(nand(nand(nand(nand(A,nand(B,C)),A),nand(V_3,nand(B,nand(A,C)))),
% nand(nand(A,nand(B,C)),A)),nand(V_3,B)) -> V_3
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51]
% nand(nand(nand(A,nand(B,C)),A),nand(nand(A,nand(B,C)),nand(nand(nand(
% nand(A,
% nand(B,C)),A),B),A)))
% -> nand(A,nand(B,C))
% Current number of equations to process: 4124
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [52]
% nand(nand(nand(nand(A,B),nand(C,nand(A,nand(nand(nand(A,B),nand(nand(A,B),V_3)),B)))),
% nand(A,B)),nand(C,A)) -> C
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [53]
% nand(nand(A,nand(A,nand(A,B))),nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),
% nand(nand(
% nand(A,B),A),B)))))
% -> A
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [54]
% nand(nand(nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(A,B)),A)),nand(A,B)),
% nand(A,B)) -> nand(nand(nand(A,B),A),nand(A,B))
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [55]
% nand(nand(nand(nand(A,B),nand(C,nand(nand(nand(A,B),A),nand(A,B)))),nand(A,B)),
% nand(C,nand(nand(A,B),A))) -> C
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [56]
% nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,nand(nand(V_3,A),V_3)),C)),
% nand(A,B))) ->
% nand(nand(A,B),nand(nand(C,nand(nand(V_3,A),V_3)),C))
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [57]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(
% nand(C,
% nand(
% nand(A,B),V_3)),C)),B))))
% -> A
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [58]
% nand(nand(nand(nand(A,B),nand(C,nand(A,nand(nand(nand(A,B),nand(nand(V_3,A),V_3)),B)))),
% nand(A,B)),nand(C,A)) -> C
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [59]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,nand(A,B)),nand(nand(C,A),C)),
% nand(nand(A,nand(A,B)),A)))) -> A
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [60]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(
% nand(C,
% nand(
% nand(V_3,A),V_3)),C)),B))))
% -> A
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [61]
% nand(A,nand(nand(nand(B,nand(A,C)),B),nand(nand(A,nand(nand(B,nand(A,C)),B)),
% nand(A,nand(B,C))))) ->
% nand(nand(B,nand(A,C)),B)
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [62]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(A,nand(nand(A,nand(A,B)),nand(A,
% nand(
% nand(
% nand(A,B),A),B))))))
% -> nand(A,B)
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [63]
% nand(A,nand(nand(nand(B,nand(A,C)),B),nand(nand(A,nand(nand(V_3,nand(A,V_4)),V_3)),
% nand(A,nand(B,C))))) ->
% nand(nand(B,nand(A,C)),B)
% Rule
% [61]
% nand(A,nand(nand(nand(B,nand(A,C)),B),nand(nand(A,nand(nand(B,nand(A,C)),B)),
% nand(A,nand(B,C))))) ->
% nand(nand(B,nand(A,C)),B) collapsed.
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [64]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(A,nand(nand(A,nand(A,C)),nand(A,
% nand(
% nand(
% nand(A,B),A),B))))))
% -> nand(A,B)
% Rule
% [62]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(A,nand(nand(A,nand(A,B)),nand(A,
% nand(
% nand(
% nand(A,B),A),B))))))
% -> nand(A,B) collapsed.
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [65]
% nand(nand(nand(nand(A,B),nand(A,nand(nand(A,nand(A,B)),nand(A,nand(nand(
% nand(A,B),A),B))))),
% nand(A,B)),nand(A,B)) -> A
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [66]
% nand(nand(nand(A,B),A),nand(nand(B,nand(B,C)),nand(A,nand(B,nand(nand(B,C),
% nand(nand(
% nand(B,C),B),C))))))
% -> nand(B,nand(B,C))
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [67]
% nand(A,nand(nand(A,nand(A,B)),nand(nand(A,nand(A,C)),nand(A,nand(nand(A,B),
% nand(nand(
% nand(A,B),A),B))))))
% -> nand(A,nand(A,B))
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [68]
% nand(nand(nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),nand(nand(nand(A,B),
% nand(nand(A,B),C)),B)))),A),A)
% -> nand(A,nand(A,B))
% Current number of equations to process: 4998
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [69]
% nand(nand(nand(nand(A,B),nand(A,nand(nand(A,nand(A,C)),nand(A,nand(nand(
% nand(A,B),A),B))))),
% nand(A,B)),nand(A,B)) -> A
% Rule
% [65]
% nand(nand(nand(nand(A,B),nand(A,nand(nand(A,nand(A,B)),nand(A,nand(nand(
% nand(A,B),A),B))))),
% nand(A,B)),nand(A,B)) -> A collapsed.
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [70]
% nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(nand(B,C),B),nand(B,C)),
% nand(A,nand(nand(B,C),B)))) ->
% nand(nand(nand(B,C),B),nand(B,C))
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [71]
% nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(A,B)),nand(nand(nand(A,B),A),
% nand(nand(A,B),A)))) ->
% nand(nand(nand(A,B),A),nand(A,B))
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [72]
% nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(nand(A,nand(B,C)),A),B),
% nand(nand(A,nand(B,C)),A))) ->
% nand(nand(nand(A,nand(B,C)),A),B)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [73]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,nand(A,B)),nand(nand(A,
% nand(A,B)),C)),
% nand(nand(A,nand(A,B)),A)))) -> A
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [74]
% nand(nand(nand(A,nand(nand(A,nand(A,B)),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(A,nand(A,B)),A)))),A),A) ->
% nand(A,nand(A,B))
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [75]
% nand(nand(nand(A,nand(nand(nand(B,nand(A,nand(A,C))),B),nand(B,nand(nand(A,
% nand(A,C)),A)))),A),A)
% -> nand(nand(B,nand(A,nand(A,C))),B)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [76]
% nand(nand(nand(A,nand(nand(B,nand(A,C)),B)),A),nand(nand(A,nand(nand(B,
% nand(A,C)),B)),
% nand(A,A))) ->
% nand(A,nand(nand(B,nand(A,C)),B))
% Current number of equations to process: 4356
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced :
% [77]
% nand(nand(nand(A,nand(B,nand(nand(C,nand(B,V_3)),C))),A),nand(B,nand(A,
% nand(
% nand(B,
% nand(
% nand(C,
% nand(B,V_3)),C)),B))))
% -> B
% Current number of equations to process: 4356
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [78]
% nand(nand(nand(A,nand(B,nand(nand(A,nand(nand(C,nand(A,V_3)),C)),A))),A),
% nand(B,nand(A,nand(nand(C,nand(A,V_3)),C)))) -> B
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [79]
% nand(A,nand(nand(A,nand(nand(B,nand(nand(A,nand(nand(C,nand(A,V_3)),C)),A)),B)),A))
% -> nand(A,nand(nand(B,nand(nand(A,nand(nand(C,nand(A,V_3)),C)),A)),B))
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [80]
% nand(nand(nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),nand(nand(nand(A,B),
% nand(nand(C,A),C)),B)))),A),A)
% -> nand(A,nand(A,B))
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [81]
% nand(nand(A,nand(A,B)),nand(A,nand(nand(nand(A,nand(A,B)),nand(nand(A,
% nand(nand(
% nand(A,B),A),B)),C)),
% nand(A,B)))) -> A
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [82]
% nand(nand(nand(A,nand(nand(B,nand(nand(C,nand(A,V_3)),C)),B)),A),nand(A,
% nand(
% nand(B,
% nand(
% nand(C,
% nand(A,V_3)),C)),B)))
% -> A
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [83]
% nand(A,nand(nand(A,nand(nand(B,nand(nand(C,nand(nand(V_3,nand(A,V_4)),V_3)),C)),B)),A))
% -> nand(A,nand(nand(B,nand(nand(C,nand(nand(V_3,nand(A,V_4)),V_3)),C)),B))
% Rule
% [79]
% nand(A,nand(nand(A,nand(nand(B,nand(nand(A,nand(nand(C,nand(A,V_3)),C)),A)),B)),A))
% -> nand(A,nand(nand(B,nand(nand(A,nand(nand(C,nand(A,V_3)),C)),A)),B))
% collapsed.
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [84]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,nand(nand(V_3,nand(
% nand(V_4,
% nand(
% nand(A,B),V_5)),V_4)),V_3)),C)),B)))
% -> A
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [85]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(C,nand(nand(V_3,nand(
% nand(V_4,A),V_4)),V_3)),C)),B)))
% -> A
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [86]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(nand(C,V_3),A),nand(
% nand(C,
% nand(
% nand(
% nand(C,V_3),A),V_3)),C))),B)))
% -> A
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [87]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(A,B)),
% nand(nand(nand(A,B),A),nand(A,B))))) ->
% nand(A,B)
% Current number of equations to process: 4173
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [88]
% nand(nand(nand(A,nand(nand(nand(A,nand(nand(B,nand(A,C)),B)),A),nand(
% nand(B,
% nand(A,C)),B))),A),A)
% -> nand(nand(A,nand(nand(B,nand(A,C)),B)),A)
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [89]
% nand(nand(nand(A,B),A),nand(nand(B,C),nand(A,nand(B,nand(nand(nand(B,C),
% nand(nand(V_3,
% nand(nand(B,C),V_4)),V_3)),C)))))
% -> nand(B,C)
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [90]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(A,V_3)),C)),nand(A,
% nand(nand(
% nand(A,B),
% nand(
% nand(A,B),V_4)),B)))))
% -> nand(A,B)
% Current number of equations to process: 4967
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [91]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,C)),nand(A,nand(nand(nand(A,B),
% nand(nand(V_3,
% nand(nand(A,B),V_4)),V_3)),B)))))
% -> nand(A,B)
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [92]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(A,B)),C)),nand(A,nand(
% nand(
% nand(A,B),
% nand(
% nand(V_3,A),V_3)),B)))))
% -> nand(A,B)
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [93]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(A,V_3)),C)),nand(A,
% nand(nand(
% nand(A,B),
% nand(
% nand(V_4,A),V_4)),B)))))
% -> nand(A,B)
% Rule
% [92]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(A,B)),C)),nand(A,nand(
% nand(
% nand(A,B),
% nand(
% nand(V_3,A),V_3)),B)))))
% -> nand(A,B) collapsed.
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [94]
% nand(nand(nand(nand(nand(A,nand(B,C)),A),B),nand(nand(A,nand(B,C)),A)),
% nand(nand(nand(A,nand(B,C)),A),B)) -> nand(nand(A,nand(B,C)),A)
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [95]
% nand(nand(nand(nand(nand(A,B),A),nand(B,C)),nand(nand(A,B),A)),nand(nand(
% nand(A,B),A),
% nand(B,C))) ->
% nand(nand(A,B),A)
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [96]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(
% nand(C,
% nand(
% nand(V_3,
% nand(B,V_4)),V_3)),C)),A)))
% -> nand(A,B)
% Current number of equations to process: 3493
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [97]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,nand(
% nand(V_3,
% nand(
% nand(A,B),V_4)),V_3)),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [98]
% nand(A,nand(nand(A,B),nand(nand(A,nand(nand(C,nand(nand(V_3,nand(A,V_4)),V_3)),C)),
% nand(A,nand(nand(nand(A,B),A),B))))) -> nand(A,B)
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [99]
% nand(nand(nand(A,B),A),nand(nand(B,C),nand(A,nand(B,nand(nand(nand(B,C),
% nand(nand(V_3,
% nand(nand(V_4,B),V_4)),V_3)),C)))))
% -> nand(B,C)
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [100]
% nand(A,nand(nand(A,B),nand(nand(A,nand(A,C)),nand(A,nand(nand(nand(A,B),
% nand(nand(V_3,
% nand(nand(V_4,A),V_4)),V_3)),B)))))
% -> nand(A,B)
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [101]
% nand(nand(nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(nand(C,nand(
% nand(V_3,
% nand(
% nand(V_4,A),V_4)),V_3)),C)),B))),A),A)
% -> nand(A,B)
% Current number of equations to process: 2376
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [102]
% nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(nand(nand(A,B),A),nand(B,C)),
% nand(nand(nand(A,B),A),nand(A,B))))) ->
% nand(A,B)
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [103]
% nand(nand(nand(nand(A,nand(A,B)),nand(C,nand(A,nand(nand(A,B),nand(nand(
% nand(A,B),A),B))))),
% nand(A,nand(A,B))),nand(C,A)) -> C
% Current number of equations to process: 3112
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [104]
% nand(nand(nand(A,nand(nand(A,nand(nand(B,nand(A,C)),B)),nand(nand(nand(B,
% nand(A,C)),B),
% nand(B,C)))),A),A) ->
% nand(A,nand(nand(B,nand(A,C)),B))
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [105]
% nand(nand(nand(nand(A,B),nand(nand(nand(C,A),C),nand(C,nand(A,nand(nand(
% nand(A,B),A),B))))),
% nand(A,B)),nand(A,B)) -> nand(nand(C,A),C)
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [106]
% nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,nand(nand(B,C),nand(nand(B,
% nand(B,C)),
% nand(B,nand(
% nand(
% nand(B,C),B),C)))))))
% -> B
% Current number of equations to process: 4552
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [107]
% nand(nand(nand(A,nand(B,nand(nand(A,C),nand(nand(A,nand(A,C)),nand(A,
% nand(nand(
% nand(A,C),A),C)))))),A),
% nand(B,nand(A,C))) -> B
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [108]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(A,
% nand(A,B)),
% nand(A,nand(
% nand(
% nand(A,B),A),B)))))))
% -> A
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [109]
% nand(nand(nand(nand(A,B),nand(nand(nand(A,B),A),nand(nand(nand(nand(A,B),A),
% nand(B,C)),A))),
% nand(A,B)),nand(A,B)) -> nand(nand(A,B),A)
% Current number of equations to process: 2033
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [110]
% nand(nand(A,nand(A,nand(A,B))),nand(A,nand(nand(A,nand(A,B)),nand(nand(
% nand(A,
% nand(A,B)),A),
% nand(nand(A,
% nand(A,B)),A)))))
% -> A
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [111]
% nand(nand(nand(A,nand(nand(nand(B,nand(A,nand(nand(B,nand(B,C)),B))),B),
% nand(B,nand(B,C)))),A),A) ->
% nand(nand(B,nand(A,nand(nand(B,nand(B,C)),B))),B)
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [112]
% nand(nand(nand(A,B),A),nand(nand(nand(nand(A,B),A),nand(nand(C,nand(B,V_3)),C)),
% nand(nand(A,B),A))) ->
% nand(nand(nand(A,B),A),nand(nand(C,nand(B,V_3)),C))
% Current number of equations to process: 2997
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [113]
% nand(nand(nand(A,nand(B,C)),A),nand(nand(A,nand(B,C)),nand(nand(nand(
% nand(A,
% nand(B,C)),A),
% nand(nand(V_3,B),V_3)),A)))
% -> nand(A,nand(B,C))
% Current number of equations to process: 3271
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [114]
% nand(nand(nand(nand(A,B),nand(C,nand(A,nand(nand(nand(A,B),nand(nand(V_3,
% nand(
% nand(A,B),V_4)),V_3)),B)))),
% nand(A,B)),nand(C,A)) -> C
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [115]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),nand(nand(A,C),nand(nand(A,
% nand(nand(A,C),
% nand(nand(
% nand(A,C),A),C))),A))),B)))
% -> A
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [116]
% nand(nand(nand(A,nand(B,nand(nand(A,C),nand(nand(A,nand(A,V_3)),nand(A,
% nand(
% nand(
% nand(A,C),A),C)))))),A),
% nand(B,nand(A,C))) -> B
% Rule
% [107]
% nand(nand(nand(A,nand(B,nand(nand(A,C),nand(nand(A,nand(A,C)),nand(A,
% nand(nand(
% nand(A,C),A),C)))))),A),
% nand(B,nand(A,C))) -> B collapsed.
% Current number of equations to process: 4488
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [117]
% nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,nand(nand(B,C),nand(nand(B,
% nand(B,V_3)),
% nand(B,nand(
% nand(
% nand(B,C),B),C)))))))
% -> B
% Rule
% [106]
% nand(nand(nand(A,nand(B,C)),A),nand(B,nand(A,nand(nand(B,C),nand(nand(B,
% nand(B,C)),
% nand(B,nand(
% nand(
% nand(B,C),B),C)))))))
% -> B collapsed.
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [118]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(A,
% nand(A,C)),
% nand(A,nand(
% nand(
% nand(A,B),A),B)))))))
% -> A
% Rule
% [108]
% nand(nand(A,B),nand(A,nand(nand(nand(A,B),A),nand(nand(A,B),nand(nand(A,
% nand(A,B)),
% nand(A,nand(
% nand(
% nand(A,B),A),B)))))))
% -> A collapsed.
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% nand(nand(A,nand(A,nand(A,B))),nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),
% nand(nand(
% nand(A,B),
% nand(
% nand(A,B),C)),B)))))
% -> A
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120]
% nand(nand(A,nand(A,nand(A,B))),nand(A,nand(nand(A,nand(A,B)),nand(nand(A,B),
% nand(nand(
% nand(A,B),
% nand(
% nand(C,A),C)),B)))))
% -> A
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% nand(nand(A,B),nand(nand(nand(C,nand(nand(A,B),V_3)),C),nand(nand(nand(A,B),A),
% nand(nand(A,B),
% nand(C,V_3))))) ->
% nand(nand(C,nand(nand(A,B),V_3)),C)
% Current number of equationsCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------