TSTP Solution File: GRP450-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP450-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n076.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 00:23:12 EDT 2014
% Result : Unsatisfiable 120.90s
% Output : Refutation 120.90s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP450-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n076.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 13:44:18 CDT 2014
% % CPUTime : 120.90
% Processing problem /tmp/CiME_30089_n076.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; inverse : 1; multiply : 2; divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B;
% multiply(A,B) = divide(A,divide(divide(C,C),B));
% inverse(A) = divide(divide(B,B),A);
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% divide lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > divide > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% divide mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > divide > a3 = b3 = c3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% 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 = { divide(A,divide(divide(divide(divide(B,B),B),C),
% divide(divide(divide(B,B),A),C))) = B,
% multiply(A,B) = divide(A,divide(divide(C,C),B)),
% inverse(A) = divide(divide(B,B),A) }
% (3 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 = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] inverse(A) <-> divide(divide(B,B),A)
% Current number of equations to process: 1
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] divide(divide(B,B),A) <-> divide(divide(c3,c3),A)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [4] multiply(A,B) <-> divide(A,divide(divide(C,C),B))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,divide(divide(c3,c3),b3)),divide(divide(c3,c3),c3)) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))
% -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] divide(divide(divide(A,A),divide(c3,c3)),B) -> divide(divide(c3,c3),B)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C)
% Rule
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B)
% collapsed.
% Rule
% [7] divide(divide(divide(A,A),divide(c3,c3)),B) -> divide(divide(c3,c3),B)
% collapsed.
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% divide(divide(divide(c3,c3),divide(divide(c3,c3),divide(A,A))),B) ->
% divide(divide(c3,c3),B)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(c3,c3))),B) ->
% divide(divide(c3,c3),B)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,B))),C) ->
% divide(divide(c3,c3),C)
% Rule
% [9]
% divide(divide(divide(c3,c3),divide(divide(c3,c3),divide(A,A))),B) ->
% divide(divide(c3,c3),B) collapsed.
% Rule
% [10]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(c3,c3))),B) ->
% divide(divide(c3,c3),B) collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [12]
% divide(divide(divide(A,A),divide(divide(c3,c3),divide(B,B))),C) ->
% divide(divide(c3,c3),C)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [13]
% divide(divide(divide(A,A),divide(divide(B,B),divide(c3,c3))),C) ->
% divide(divide(c3,c3),C)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14]
% divide(divide(divide(A,A),divide(divide(B,B),divide(C,C))),V_3) ->
% divide(divide(c3,c3),V_3)
% Rule
% [11]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,B))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Rule
% [12]
% divide(divide(divide(A,A),divide(divide(c3,c3),divide(B,B))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Rule
% [13]
% divide(divide(divide(A,A),divide(divide(B,B),divide(c3,c3))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [15]
% divide(A,divide(divide(divide(c3,c3),B),divide(divide(divide(c3,c3),A),B)))
% <-> divide(C,C)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [16] divide(C,C) <-> divide(c3,c3)
% Rule [2] divide(divide(B,B),A) <-> divide(divide(c3,c3),A) collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [17] divide(B,B) <-> divide(divide(A,A),divide(c3,c3))
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [17] divide(B,B) <-> divide(divide(A,A),divide(c3,c3)) is composed into
% [17] divide(B,B) <-> divide(c3,c3)
% New rule produced : [18] divide(divide(A,A),divide(c3,c3)) <-> divide(B,B)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [19]
% divide(A,divide(divide(c3,c3),divide(divide(divide(c3,c3),A),divide(B,B))))
% <-> divide(C,C)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [20]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(c3,c3),A),C))) <->
% divide(V_3,V_3)
% Rule
% [15]
% divide(A,divide(divide(divide(c3,c3),B),divide(divide(divide(c3,c3),A),B)))
% <-> divide(C,C) collapsed.
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [21] divide(A,divide(c3,c3)) -> A
% Rule [18] divide(divide(A,A),divide(c3,c3)) <-> divide(B,B) collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [22] divide(B,B) <-> divide(A,A)
% Rule [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A) collapsed.
% Rule [16] divide(C,C) <-> divide(c3,c3) collapsed.
% Rule [17] divide(B,B) <-> divide(c3,c3) collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [23]
% divide(C,C) <->
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(c3,c3),divide(B,B))))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 10
% Rule [23]
% divide(C,C) <->
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(c3,c3),divide(B,B)))) is composed into
% [23] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [24]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(c3,c3),divide(B,B))))
% <-> divide(C,C)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [25]
% divide(V_3,V_3) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),C)))
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [25]
% divide(V_3,V_3) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),C))) is composed into
% [25] divide(V_3,V_3) <-> divide(c3,c3)
% New rule produced :
% [26]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),C))) <->
% divide(V_3,V_3)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [27] divide(divide(A,A),divide(B,B)) -> divide(c3,c3)
% Rule [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C)
% collapsed.
% Rule
% [14]
% divide(divide(divide(A,A),divide(divide(B,B),divide(C,C))),V_3) ->
% divide(divide(c3,c3),V_3) collapsed.
% Rule
% [24]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(c3,c3),divide(B,B))))
% <-> divide(C,C) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [28] divide(A,divide(B,B)) -> A
% Rule
% [19]
% divide(A,divide(divide(c3,c3),divide(divide(divide(c3,c3),A),divide(B,B))))
% <-> divide(C,C) collapsed.
% Rule [21] divide(A,divide(c3,c3)) -> A collapsed.
% Rule [27] divide(divide(A,A),divide(B,B)) -> divide(c3,c3) collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [29] divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))) <-> divide(C,C)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [30] divide(A,divide(divide(B,B),divide(divide(c3,c3),A))) <-> divide(C,C)
% Rule
% [29] divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [31] divide(A,divide(divide(divide(B,B),B),divide(divide(B,B),A))) -> B
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [32]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(V_3,V_3),A),C)))
% <-> divide(V_4,V_4)
% Rule
% [20]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(c3,c3),A),C))) <->
% divide(V_3,V_3) collapsed.
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [33] divide(C,C) <-> divide(divide(divide(A,A),B),divide(divide(c3,c3),B))
% Current number of equations to process: 63
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [33]
% divide(C,C) <-> divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) is composed into
% [33] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [34] divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) <-> divide(C,C)
% Rule
% [26]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),C))) <->
% divide(V_3,V_3) collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [35] divide(A,divide(divide(B,B),divide(divide(C,C),A))) <-> divide(V_3,V_3)
% Rule
% [30] divide(A,divide(divide(B,B),divide(divide(c3,c3),A))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [36] divide(divide(A,A),divide(divide(B,B),B)) -> B
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [37] divide(A,divide(divide(divide(c3,c3),B),divide(divide(B,B),A))) -> B
% Current number of equations to process: 68
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [38] divide(A,divide(divide(divide(B,B),B),divide(divide(c3,c3),A))) -> B
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [39] divide(A,divide(divide(divide(B,B),C),divide(divide(C,C),A))) -> C
% Rule [31] divide(A,divide(divide(divide(B,B),B),divide(divide(B,B),A))) -> B
% collapsed.
% Rule
% [37] divide(A,divide(divide(divide(c3,c3),B),divide(divide(B,B),A))) -> B
% collapsed.
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [40]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(V_3,V_3),C)))
% <-> divide(V_4,V_4)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [41] divide(V_3,V_3) <-> divide(divide(divide(A,A),B),divide(divide(C,C),B))
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 16
% Rule [41]
% divide(V_3,V_3) <-> divide(divide(divide(A,A),B),divide(divide(C,C),B)) is composed into
% [41] divide(V_3,V_3) <-> divide(c3,c3)
% New rule produced :
% [42] divide(divide(divide(A,A),B),divide(divide(C,C),B)) <-> divide(V_3,V_3)
% Rule
% [34] divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) <-> divide(C,C)
% collapsed.
% Rule
% [40]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(V_3,V_3),C)))
% <-> divide(V_4,V_4) collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [43] divide(divide(A,A),divide(divide(c3,c3),B)) -> B
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [44] divide(divide(A,A),divide(divide(B,B),C)) -> C
% Rule
% [35] divide(A,divide(divide(B,B),divide(divide(C,C),A))) <-> divide(V_3,V_3)
% collapsed.
% Rule [36] divide(divide(A,A),divide(divide(B,B),B)) -> B collapsed.
% Rule [43] divide(divide(A,A),divide(divide(c3,c3),B)) -> B collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [45] divide(A,divide(divide(divide(c3,c3),B),divide(divide(c3,c3),A))) -> B
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [46] divide(A,divide(divide(divide(B,B),B),divide(divide(C,C),A))) -> B
% Rule
% [38] divide(A,divide(divide(divide(B,B),B),divide(divide(c3,c3),A))) -> B
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [47] divide(A,divide(divide(divide(B,B),C),divide(divide(c3,c3),A))) -> C
% Rule
% [45] divide(A,divide(divide(divide(c3,c3),B),divide(divide(c3,c3),A))) -> B
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [48] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C
% Rule [39] divide(A,divide(divide(divide(B,B),C),divide(divide(C,C),A))) -> C
% collapsed.
% Rule [46] divide(A,divide(divide(divide(B,B),B),divide(divide(C,C),A))) -> B
% collapsed.
% Rule
% [47] divide(A,divide(divide(divide(B,B),C),divide(divide(c3,c3),A))) -> C
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [49] divide(A,divide(B,divide(divide(C,C),A))) <-> divide(divide(V_3,V_3),B)
% Rule
% [48] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C
% collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [50] divide(divide(V_3,V_3),C) <-> divide(divide(divide(A,A),B),divide(C,B))
% Current number of equations to process: 80
% Current number of ordered equations: 1
% Current number of rules: 14
% Rule [50]
% divide(divide(V_3,V_3),C) <-> divide(divide(divide(A,A),B),divide(C,B)) is composed into
% [50] divide(divide(V_3,V_3),C) <-> divide(divide(c3,c3),C)
% New rule produced :
% [51] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C)
% Rule
% [32]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(V_3,V_3),A),C)))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [42] divide(divide(divide(A,A),B),divide(divide(C,C),B)) <-> divide(V_3,V_3)
% collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [52] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [53] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [54]
% divide(A,divide(divide(divide(divide(c3,c3),B),C),divide(divide(divide(B,B),A),C)))
% -> B
% Current number of equations to process: 81
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [55]
% divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(c3,c3),A),C)))
% -> B
% Current number of equations to process: 81
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [56]
% divide(A,divide(divide(c3,c3),divide(divide(divide(B,B),A),divide(divide(B,B),B))))
% -> B
% Current number of equations to process: 81
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [57]
% divide(divide(A,A),divide(divide(divide(divide(A,A),A),B),divide(divide(c3,c3),B)))
% -> A
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [58] divide(divide(A,B),divide(divide(c3,c3),B)) -> A
% Rule
% [57]
% divide(divide(A,A),divide(divide(divide(divide(A,A),A),B),divide(divide(c3,c3),B)))
% -> A collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [59]
% divide(divide(C,C),B) <->
% divide(divide(divide(divide(A,A),B),divide(divide(A,A),A)),A)
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 20
% Rule [59]
% divide(divide(C,C),B) <->
% divide(divide(divide(divide(A,A),B),divide(divide(A,A),A)),A) is composed into
% [59] divide(divide(C,C),B) <-> divide(divide(c3,c3),B)
% New rule produced :
% [60]
% divide(divide(divide(divide(A,A),B),divide(divide(A,A),A)),A) <->
% divide(divide(C,C),B)
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [61] divide(divide(A,divide(divide(c3,c3),c3)),c3) -> A
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [62] divide(divide(A,divide(divide(B,B),C)),C) -> A
% Rule
% [60]
% divide(divide(divide(divide(A,A),B),divide(divide(A,A),A)),A) <->
% divide(divide(C,C),B) collapsed.
% Rule [61] divide(divide(A,divide(divide(c3,c3),c3)),c3) -> A collapsed.
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [63] divide(divide(A,B),divide(divide(C,C),B)) -> A
% Rule [58] divide(divide(A,B),divide(divide(c3,c3),B)) -> A collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [64] divide(A,B) <-> divide(divide(C,C),divide(B,A))
% Rule
% [53] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% collapsed.
% Rule [62] divide(divide(A,divide(divide(B,B),C)),C) -> A collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(divide(divide(c3,c3),c3),divide(a3,divide(
% divide(c3,c3),b3)))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [65] divide(divide(c3,c3),divide(C,divide(A,divide(divide(B,B),C)))) -> A
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [66]
% divide(divide(V_3,V_3),divide(C,divide(divide(V_4,V_4),B))) <->
% divide(divide(divide(A,A),B),C)
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [67]
% divide(divide(divide(A,A),B),C) <->
% divide(divide(V_3,V_3),divide(C,divide(divide(V_4,V_4),B)))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [68] divide(divide(A,A),divide(B,divide(C,divide(divide(V_3,V_3),B)))) -> C
% Rule
% [65] divide(divide(c3,c3),divide(C,divide(A,divide(divide(B,B),C)))) -> A
% collapsed.
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [69]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,V_3)))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 24
% Rule [69]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,V_3))) is composed into
% [69] divide(divide(V_4,V_4),V_3) <-> divide(divide(c3,c3),V_3)
% New rule produced :
% [70]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,V_3))) <->
% divide(divide(V_4,V_4),V_3)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [71]
% divide(A,divide(divide(B,B),divide(divide(divide(C,C),A),V_3))) <->
% divide(divide(V_4,V_4),V_3)
% Rule
% [56]
% divide(A,divide(divide(c3,c3),divide(divide(divide(B,B),A),divide(divide(B,B),B))))
% -> B collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [72]
% divide(V_3,divide(divide(V_4,V_4),C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3))
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [73]
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3)) <->
% divide(V_3,divide(divide(V_4,V_4),C))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [74]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(A,divide(B,divide(divide(C,C),A))),divide(V_3,B))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [74]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(A,divide(B,divide(divide(C,C),A))),divide(V_3,B)) is composed into
% [74] divide(divide(V_4,V_4),V_3) <-> divide(divide(c3,c3),V_3)
% New rule produced :
% [75]
% divide(divide(A,divide(B,divide(divide(C,C),A))),divide(V_3,B)) <->
% divide(divide(V_4,V_4),V_3)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [76]
% divide(A,divide(B,divide(C,divide(A,divide(divide(V_3,V_3),C))))) <->
% divide(divide(V_4,V_4),B)
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [77]
% divide(divide(V_4,V_4),B) <->
% divide(A,divide(B,divide(C,divide(A,divide(divide(V_3,V_3),C)))))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(divide(divide(c3,c3),c3),divide(a3,divide(c3,
% divide(b3,
% divide(
% divide(c3,c3),c3)))))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [78] divide(divide(V_3,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,A)))
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [79] divide(divide(A,B),divide(C,divide(B,A))) <-> divide(divide(V_3,V_3),C)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [80] divide(divide(A,B),divide(divide(C,C),divide(B,A))) -> divide(c3,c3)
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [81] divide(divide(A,A),divide(divide(B,C),divide(V_3,divide(C,B)))) -> V_3
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [82] divide(divide(A,B),divide(divide(C,V_3),divide(B,divide(V_3,C)))) -> A
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [83] divide(A,A) <-> divide(divide(divide(B,B),divide(C,V_3)),divide(V_3,C))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 37
% Rule [83]
% divide(A,A) <-> divide(divide(divide(B,B),divide(C,V_3)),divide(V_3,C)) is composed into
% [83] divide(A,A) <-> divide(c3,c3)
% New rule produced :
% [84] divide(divide(divide(B,B),divide(C,V_3)),divide(V_3,C)) <-> divide(A,A)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [85]
% divide(divide(V_4,V_4),divide(V_3,divide(C,B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3)
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [86]
% divide(divide(divide(A,A),divide(B,C)),V_3) <->
% divide(divide(V_4,V_4),divide(V_3,divide(C,B)))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [87] divide(A,divide(divide(A,divide(B,C)),divide(C,B))) <-> divide(V_3,V_3)
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [88] divide(divide(A,divide(B,C)),divide(C,B)) -> A
% Rule
% [84] divide(divide(divide(B,B),divide(C,V_3)),divide(V_3,C)) <-> divide(A,A)
% collapsed.
% Rule
% [87] divide(A,divide(divide(A,divide(B,C)),divide(C,B))) <-> divide(V_3,V_3)
% collapsed.
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [89] divide(divide(A,B),divide(C,divide(B,divide(divide(c3,c3),C)))) -> A
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [90] divide(divide(A,B),divide(C,divide(B,divide(divide(V_3,V_3),C)))) -> A
% Rule
% [89] divide(divide(A,B),divide(C,divide(B,divide(divide(c3,c3),C)))) -> A
% collapsed.
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [91]
% divide(A,divide(B,divide(divide(C,V_3),divide(A,divide(V_3,C))))) <->
% divide(divide(V_4,V_4),B)
% Current number of equations to process: 465
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [92]
% divide(divide(V_4,V_4),B) <->
% divide(A,divide(B,divide(divide(C,V_3),divide(A,divide(V_3,C)))))
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [93]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(divide(A,B),divide(C,divide(B,A))),divide(V_3,C))
% Current number of equations to process: 475
% Current number of ordered equations: 1
% Current number of rules: 44
% Rule [93]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(divide(A,B),divide(C,divide(B,A))),divide(V_3,C)) is composed into
% [93] divide(divide(V_4,V_4),V_3) <-> divide(divide(c3,c3),V_3)
% New rule produced :
% [94]
% divide(divide(divide(A,B),divide(C,divide(B,A))),divide(V_3,C)) <->
% divide(divide(V_4,V_4),V_3)
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [95]
% divide(divide(V_4,V_4),V_3) <->
% divide(divide(A,B),divide(divide(C,C),divide(divide(B,A),V_3)))
% Current number of equations to process: 473
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [96]
% divide(divide(A,B),divide(divide(C,C),divide(divide(B,A),V_3))) <->
% divide(divide(V_4,V_4),V_3)
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [97]
% divide(divide(A,A),divide(divide(divide(B,B),divide(C,V_3)),V_4)) <->
% divide(V_4,divide(V_3,C))
% Current number of equations to process: 470
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [98]
% divide(V_4,divide(V_3,C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),divide(C,V_3)),V_4))
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [99]
% divide(A,divide(divide(B,C),divide(divide(V_3,V_4),divide(C,B)))) ->
% divide(A,divide(V_4,V_3))
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [100]
% divide(A,divide(B,divide(divide(C,V_3),divide(divide(V_4,V_4),B)))) ->
% divide(A,divide(V_3,C))
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [101]
% divide(A,divide(divide(B,B),divide(C,V_3))) <->
% divide(divide(V_4,V_4),divide(divide(V_3,C),A))
% Current number of equations to process: 477
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [102]
% divide(divide(V_4,V_4),divide(divide(V_3,C),A)) <->
% divide(A,divide(divide(B,B),divide(C,V_3)))
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [103]
% divide(divide(V_3,V_3),divide(C,divide(divide(V_4,V_4),divide(B,A)))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 589
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [104]
% divide(divide(A,B),C) <->
% divide(divide(V_3,V_3),divide(C,divide(divide(V_4,V_4),divide(B,A))))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [105] divide(divide(A,B),divide(divide(C,V_3),divide(B,A))) -> divide(V_3,C)
% Rule
% [80] divide(divide(A,B),divide(divide(C,C),divide(B,A))) -> divide(c3,c3)
% collapsed.
% Rule
% [99]
% divide(A,divide(divide(B,C),divide(divide(V_3,V_4),divide(C,B)))) ->
% divide(A,divide(V_4,V_3)) collapsed.
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [106] divide(C,divide(divide(B,A),divide(divide(V_3,V_3),C))) -> divide(A,B)
% Rule
% [100]
% divide(A,divide(B,divide(divide(C,V_3),divide(divide(V_4,V_4),B)))) ->
% divide(A,divide(V_3,C)) collapsed.
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [107]
% divide(divide(V_3,V_4),divide(C,divide(V_4,V_3))) <->
% divide(divide(A,B),divide(C,divide(B,A)))
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [108]
% divide(V_3,divide(C,divide(divide(V_4,V_4),V_3))) <->
% divide(divide(A,B),divide(C,divide(B,A)))
% Current number of equations to process: 922
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [109]
% divide(divide(A,B),divide(C,divide(B,A))) <->
% divide(V_3,divide(C,divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [110]
% divide(A,divide(B,divide(divide(C,C),A))) <->
% divide(V_3,divide(B,divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [111]
% divide(divide(V_4,V_4),divide(V_3,divide(divide(V_5,V_5),C))) <->
% divide(divide(divide(A,B),divide(C,divide(B,A))),V_3)
% Current number of equations to process: 1055
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [112]
% divide(divide(divide(A,B),divide(C,divide(B,A))),V_3) <->
% divide(divide(V_4,V_4),divide(V_3,divide(divide(V_5,V_5),C)))
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [113]
% divide(A,divide(divide(B,C),divide(V_3,divide(C,B)))) <->
% divide(divide(V_4,V_4),divide(divide(divide(V_5,V_5),V_3),A))
% Current number of equations to process: 1059
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [114]
% divide(divide(V_4,V_4),divide(divide(divide(V_5,V_5),V_3),A)) <->
% divide(A,divide(divide(B,C),divide(V_3,divide(C,B))))
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [115]
% divide(V_4,V_4) <->
% divide(divide(divide(divide(A,A),B),C),divide(divide(divide(V_3,V_3),B),C))
% Current number of equations to process: 1058
% Current number of ordered equations: 1
% Current number of rules: 63
% Rule [115]
% divide(V_4,V_4) <->
% divide(divide(divide(divide(A,A),B),C),divide(divide(divide(V_3,V_3),B),C)) is composed into
% [115] divide(V_4,V_4) <-> divide(c3,c3)
% New rule produced :
% [116]
% divide(divide(divide(divide(A,A),B),C),divide(divide(divide(V_3,V_3),B),C))
% <-> divide(V_4,V_4)
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [117]
% divide(V_4,V_4) <->
% divide(divide(A,divide(divide(B,B),C)),divide(A,divide(divide(V_3,V_3),C)))
% Current number of equations to process: 1057
% Current number of ordered equations: 1
% Current number of rules: 65
% Rule [117]
% divide(V_4,V_4) <->
% divide(divide(A,divide(divide(B,B),C)),divide(A,divide(divide(V_3,V_3),C))) is composed into
% [117] divide(V_4,V_4) <-> divide(c3,c3)
% New rule produced :
% [118]
% divide(divide(A,divide(divide(B,B),C)),divide(A,divide(divide(V_3,V_3),C)))
% <-> divide(V_4,V_4)
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [119]
% divide(divide(divide(A,B),C),divide(divide(divide(V_3,V_3),divide(B,A)),C))
% <-> divide(V_4,V_4)
% Current number of equations to process: 1048
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [120]
% divide(V_4,V_3) <->
% divide(divide(A,B),divide(divide(C,C),divide(divide(B,A),divide(V_3,V_4))))
% Current number of equations to process: 1046
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [121]
% divide(divide(A,B),divide(divide(C,C),divide(divide(B,A),divide(V_3,V_4))))
% <-> divide(V_4,V_3)
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [122]
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),divide(A,divide(V_3,C)))
% -> divide(c3,c3)
% Current number of equations to process: 1045
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [123]
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),V_4) <->
% divide(divide(V_5,V_5),divide(V_4,divide(divide(C,B),V_3)))
% Current number of equations to process: 1043
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [124]
% divide(divide(V_5,V_5),divide(V_4,divide(divide(C,B),V_3))) <->
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),V_4)
% Current number of equations to process: 1043
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [125]
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),divide(divide(C,B),V_3))
% <-> divide(V_4,V_4)
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [126]
% divide(divide(A,A),divide(divide(B,divide(C,V_3)),V_4)) <->
% divide(V_4,divide(B,divide(divide(V_5,V_5),divide(V_3,C))))
% Current number of equations to process: 1037
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [127]
% divide(V_4,divide(B,divide(divide(V_5,V_5),divide(V_3,C)))) <->
% divide(divide(A,A),divide(divide(B,divide(C,V_3)),V_4))
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [128]
% divide(divide(A,divide(B,C)),divide(A,divide(divide(V_3,V_3),divide(C,B))))
% <-> divide(V_4,V_4)
% Current number of equations to process: 1035
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [129]
% divide(A,divide(divide(B,C),divide(V_3,divide(A,divide(divide(V_4,V_4),V_3)))))
% -> divide(C,B)
% Current number of equations to process: 1031
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [130]
% divide(A,divide(divide(B,C),divide(divide(V_3,V_4),divide(A,divide(V_4,V_3)))))
% -> divide(C,B)
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [131]
% divide(A,divide(divide(divide(B,B),divide(C,V_3)),V_4)) <->
% divide(divide(V_5,V_5),divide(divide(divide(V_3,C),V_4),A))
% Current number of equations to process: 1026
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [132]
% divide(divide(V_5,V_5),divide(divide(divide(V_3,C),V_4),A)) <->
% divide(A,divide(divide(divide(B,B),divide(C,V_3)),V_4))
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [133]
% divide(divide(A,B),divide(divide(C,C),divide(V_3,V_4))) <->
% divide(divide(divide(V_5,V_5),divide(B,A)),divide(V_4,V_3))
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [134]
% divide(divide(divide(V_5,V_5),divide(B,A)),divide(V_4,V_3)) <->
% divide(divide(A,B),divide(divide(C,C),divide(V_3,V_4)))
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [135]
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),V_4) <->
% divide(divide(V_5,V_5),divide(V_4,divide(A,divide(V_3,C))))
% Current number of equations to process: 1022
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [136]
% divide(divide(V_5,V_5),divide(V_4,divide(A,divide(V_3,C)))) <->
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),V_4)
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [137]
% divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B)))) <->
% divide(divide(V_4,V_4),divide(divide(divide(V_5,V_5),C),A))
% Current number of equations to process: 983
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [138]
% divide(divide(V_4,V_4),divide(divide(divide(V_5,V_5),C),A)) <->
% divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B))))
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [139]
% divide(divide(V_4,V_4),divide(V_3,divide(divide(V_5,V_5),B))) <->
% divide(divide(A,divide(B,divide(divide(C,C),A))),V_3)
% Current number of equations to process: 975
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [140]
% divide(divide(A,divide(B,divide(divide(C,C),A))),V_3) <->
% divide(divide(V_4,V_4),divide(V_3,divide(divide(V_5,V_5),B)))
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [141]
% divide(A,divide(divide(divide(divide(B,B),c3),C),divide(divide(divide(c3,c3),A),C)))
% -> c3
% Current number of equations to process: 3570
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [142]
% divide(A,divide(divide(divide(divide(c3,c3),c3),B),divide(divide(divide(C,C),A),B)))
% -> c3
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [143]
% divide(A,divide(divide(divide(divide(B,B),C),V_3),divide(divide(divide(C,C),A),V_3)))
% -> C
% Rule
% [5]
% divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))
% -> B collapsed.
% Rule
% [54]
% divide(A,divide(divide(divide(divide(c3,c3),B),C),divide(divide(divide(B,B),A),C)))
% -> B collapsed.
% Rule
% [141]
% divide(A,divide(divide(divide(divide(B,B),c3),C),divide(divide(divide(c3,c3),A),C)))
% -> c3 collapsed.
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [144]
% divide(A,divide(divide(divide(B,C),V_3),divide(divide(divide(c3,c3),A),V_3)))
% -> divide(C,B)
% Rule
% [55]
% divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(c3,c3),A),C)))
% -> B collapsed.
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [145]
% divide(A,divide(B,divide(divide(divide(c3,c3),A),divide(C,V_3)))) <->
% divide(divide(V_3,C),B)
% Current number of equations to process: 3877
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [146]
% divide(divide(V_3,C),B) <->
% divide(A,divide(B,divide(divide(divide(c3,c3),A),divide(C,V_3))))
% Current number of equations to process: 3877
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [147]
% divide(A,divide(divide(B,C),divide(divide(divide(c3,c3),A),C))) <->
% divide(divide(V_3,V_3),B)
% Rule
% [144]
% divide(A,divide(divide(divide(B,C),V_3),divide(divide(divide(c3,c3),A),V_3)))
% -> divide(C,B) collapsed.
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [148]
% divide(divide(A,B),divide(C,divide(divide(B,A),divide(V_3,V_4)))) <->
% divide(divide(V_4,V_3),C)
% Current number of equations to process: 3886
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [149]
% divide(divide(V_4,V_3),C) <->
% divide(divide(A,B),divide(C,divide(divide(B,A),divide(V_3,V_4))))
% Current number of equations to process: 3886
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [150] divide(divide(A,B),divide(C,B)) -> divide(A,C)
% Rule
% [51] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C)
% collapsed.
% Rule [63] divide(divide(A,B),divide(divide(C,C),B)) -> A collapsed.
% Rule
% [116]
% divide(divide(divide(divide(A,A),B),C),divide(divide(divide(V_3,V_3),B),C))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [119]
% divide(divide(divide(A,B),C),divide(divide(divide(V_3,V_3),divide(B,A)),C))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [125]
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),divide(divide(C,B),V_3))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [142]
% divide(A,divide(divide(divide(divide(c3,c3),c3),B),divide(divide(divide(C,C),A),B)))
% -> c3 collapsed.
% Rule
% [143]
% divide(A,divide(divide(divide(divide(B,B),C),V_3),divide(divide(divide(C,C),A),V_3)))
% -> C collapsed.
% Rule
% [147]
% divide(A,divide(divide(B,C),divide(divide(divide(c3,c3),A),C))) <->
% divide(divide(V_3,V_3),B) collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [151]
% divide(A,divide(B,divide(divide(divide(c3,c3),A),C))) <->
% divide(divide(divide(V_3,V_3),C),B)
% Current number of equations to process: 3901
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [152]
% divide(divide(divide(V_3,V_3),C),B) <->
% divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [153]
% divide(divide(divide(A,A),B),divide(C,divide(B,divide(V_3,V_4)))) <->
% divide(divide(V_4,V_3),C)
% Current number of equations to process: 3899
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [154]
% divide(divide(V_4,V_3),C) <->
% divide(divide(divide(A,A),B),divide(C,divide(B,divide(V_3,V_4))))
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [155] divide(A,divide(B,divide(divide(C,C),V_3))) <-> divide(divide(A,V_3),B)
% Current number of equations to process: 3915
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [156] divide(divide(A,V_3),B) <-> divide(A,divide(B,divide(divide(C,C),V_3)))
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [157]
% divide(A,divide(B,divide(divide(divide(C,C),A),divide(V_3,V_4)))) <->
% divide(divide(V_4,V_3),B)
% Rule
% [145]
% divide(A,divide(B,divide(divide(divide(c3,c3),A),divide(C,V_3)))) <->
% divide(divide(V_3,C),B) collapsed.
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [158]
% divide(divide(divide(V_4,V_4),V_3),C) <->
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3)))
% Current number of equations to process: 4170
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [159]
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),C)
% Current number of equations to process: 4170
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [160]
% divide(divide(A,B),divide(C,divide(V_3,V_4))) <->
% divide(divide(divide(A,B),divide(V_4,V_3)),C)
% Current number of equations to process: 4243
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [161]
% divide(divide(divide(A,B),divide(V_4,V_3)),C) <->
% divide(divide(A,B),divide(C,divide(V_3,V_4)))
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [162] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C))
% Rule [88] divide(divide(A,divide(B,C)),divide(C,B)) -> A collapsed.
% Current number of equations to process: 4566
% Current number of ordered equations: 3
% Current number of rules: 95
% New rule produced :
% [163] divide(A,divide(V_3,C)) <-> divide(divide(A,divide(B,C)),divide(V_3,B))
% Current number of equations to process: 4566
% Current number of ordered equations: 2
% Current number of rules: 96
% New rule produced :
% [164] divide(divide(A,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,V_3)))
% Current number of equations to process: 4566
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [165] divide(divide(A,B),divide(C,divide(B,V_3))) <-> divide(divide(A,V_3),C)
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [166] divide(A,divide(B,C)) <-> divide(divide(A,divide(divide(V_3,V_3),C)),B)
% Current number of equations to process: 4680
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [167] divide(divide(A,divide(divide(V_3,V_3),C)),B) <-> divide(A,divide(B,C))
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [168] divide(divide(A,divide(V_3,C)),B) <-> divide(A,divide(B,divide(C,V_3)))
% Rule
% [161]
% divide(divide(divide(A,B),divide(V_4,V_3)),C) <->
% divide(divide(A,B),divide(C,divide(V_3,V_4))) collapsed.
% Current number of equations to process: 4682
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [169] divide(A,divide(B,divide(C,V_3))) <-> divide(divide(A,divide(V_3,C)),B)
% Rule
% [160]
% divide(divide(A,B),divide(C,divide(V_3,V_4))) <->
% divide(divide(divide(A,B),divide(V_4,V_3)),C) collapsed.
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [170] divide(divide(A,B),divide(divide(C,C),divide(B,V_3))) -> divide(A,V_3)
% Rule
% [70]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,V_3))) <->
% divide(divide(V_4,V_4),V_3) collapsed.
% Current number of equations to process: 4714
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [171] divide(divide(divide(A,A),divide(B,C)),divide(V_3,B)) -> divide(C,V_3)
% Rule
% [52] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% collapsed.
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [172]
% divide(A,divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(divide(V_4,V_4),divide(V_3,A)),B)
% Current number of equations to process: 4711
% Current number of ordered equations: 3
% Current number of rules: 101
% New rule produced :
% [173]
% divide(A,divide(divide(V_4,V_4),divide(C,V_3))) <->
% divide(divide(A,divide(divide(B,B),C)),V_3)
% Current number of equations to process: 4711
% Current number of ordered equations: 2
% Current number of rules: 102
% Rule [173]
% divide(A,divide(divide(V_4,V_4),divide(C,V_3))) <->
% divide(divide(A,divide(divide(B,B),C)),V_3) is composed into [173]
% divide(A,
% divide(
% divide(V_4,V_4),
% divide(C,V_3)))
% <->
% divide(A,
% divide(
% divide(c3,c3),
% divide(C,V_3)))
% Rule [166]
% divide(A,divide(B,C)) <-> divide(divide(A,divide(divide(V_3,V_3),C)),B) is composed into
% [166] divide(A,divide(B,C)) <-> divide(A,divide(divide(c3,c3),divide(C,B)))
% Rule [136]
% divide(divide(V_5,V_5),divide(V_4,divide(A,divide(V_3,C)))) <->
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),V_4) is composed into
% [136]
% divide(divide(V_5,V_5),divide(V_4,divide(A,divide(V_3,C)))) <->
% divide(A,divide(divide(c3,c3),divide(divide(C,V_3),V_4)))
% New rule produced :
% [174]
% divide(divide(A,divide(divide(B,B),C)),V_3) <->
% divide(A,divide(divide(V_4,V_4),divide(C,V_3)))
% Rule
% [118]
% divide(divide(A,divide(divide(B,B),C)),divide(A,divide(divide(V_3,V_3),C)))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [122]
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),divide(A,divide(V_3,C)))
% -> divide(c3,c3) collapsed.
% Rule
% [135]
% divide(divide(A,divide(divide(B,B),divide(C,V_3))),V_4) <->
% divide(divide(V_5,V_5),divide(V_4,divide(A,divide(V_3,C)))) collapsed.
% Rule
% [167] divide(divide(A,divide(divide(V_3,V_3),C)),B) <-> divide(A,divide(B,C))
% collapsed.
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [175]
% divide(divide(divide(V_4,V_4),divide(V_3,A)),B) <->
% divide(A,divide(B,divide(divide(C,C),V_3)))
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [176]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(V_4,V_4),divide(B,divide(A,divide(V_3,C))))
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [177]
% divide(divide(V_4,V_4),divide(B,divide(A,divide(V_3,C)))) <->
% divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [178]
% divide(A,divide(B,divide(divide(divide(C,C),A),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),B)
% Rule
% [151]
% divide(A,divide(B,divide(divide(divide(c3,c3),A),C))) <->
% divide(divide(divide(V_3,V_3),C),B) collapsed.
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [179]
% divide(divide(A,divide(B,divide(C,V_3))),divide(divide(V_4,V_4),B)) ->
% divide(A,divide(V_3,C))
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [180]
% divide(A,divide(B,C)) <->
% divide(divide(V_3,V_3),divide(B,divide(A,divide(divide(V_4,V_4),C))))
% Current number of equations to process: 4849
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [181]
% divide(divide(V_3,V_3),divide(B,divide(A,divide(divide(V_4,V_4),C)))) <->
% divide(A,divide(B,C))
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [182]
% divide(divide(A,divide(divide(B,C),divide(V_3,divide(C,B)))),V_4) <->
% divide(A,divide(V_4,V_3))
% Current number of equations to process: 4847
% Current number of ordered equations: 3
% Current number of rules: 106
% New rule produced :
% [183]
% divide(A,divide(V_4,V_3)) <->
% divide(divide(A,divide(divide(B,C),divide(V_3,divide(C,B)))),V_4)
% Current number of equations to process: 4847
% Current number of ordered equations: 2
% Current number of rules: 107
% New rule produced :
% [184]
% divide(A,divide(B,divide(divide(C,V_3),divide(V_4,divide(V_3,C))))) <->
% divide(divide(A,V_4),B)
% Current number of equations to process: 4847
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [185]
% divide(divide(A,V_4),B) <->
% divide(A,divide(B,divide(divide(C,V_3),divide(V_4,divide(V_3,C)))))
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [186]
% divide(A,divide(V_4,C)) <->
% divide(divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B)))),V_4)
% Current number of equations to process: 4845
% Current number of ordered equations: 3
% Current number of rules: 110
% New rule produced :
% [187]
% divide(A,divide(B,divide(C,divide(V_3,divide(divide(V_4,V_4),C))))) <->
% divide(divide(A,V_3),B)
% Current number of equations to process: 4845
% Current number of ordered equations: 2
% Current number of rules: 111
% New rule produced :
% [188]
% divide(divide(A,V_3),B) <->
% divide(A,divide(B,divide(C,divide(V_3,divide(divide(V_4,V_4),C)))))
% Current number of equations to process: 4845
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [189]
% divide(divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B)))),V_4) <->
% divide(A,divide(V_4,C))
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [190]
% divide(divide(divide(A,A),B),divide(C,divide(B,V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),C)
% Current number of equations to process: 4845
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [191]
% divide(divide(divide(V_4,V_4),V_3),C) <->
% divide(divide(divide(A,A),B),divide(C,divide(B,V_3)))
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [192]
% divide(divide(divide(A,A),divide(B,C)),divide(V_3,divide(B,V_4))) <->
% divide(divide(C,V_4),V_3)
% Current number of equations to process: 4986
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [193]
% divide(divide(C,V_4),V_3) <->
% divide(divide(divide(A,A),divide(B,C)),divide(V_3,divide(B,V_4)))
% Current number of equations to process: 4986
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [194]
% divide(C,divide(B,divide(divide(V_4,V_4),V_3))) <->
% divide(divide(A,A),divide(B,divide(C,V_3)))
% Current number of equations to process: 2280
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [195]
% divide(divide(A,A),divide(B,divide(C,V_3))) <->
% divide(C,divide(B,divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [196]
% divide(divide(A,divide(V_3,C)),V_4) <->
% divide(A,divide(divide(B,B),divide(divide(C,V_3),V_4)))
% Current number of equations to process: 2475
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [197]
% divide(A,divide(divide(B,B),divide(divide(C,V_3),V_4))) <->
% divide(divide(A,divide(V_3,C)),V_4)
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [198]
% divide(divide(V_4,divide(V_3,C)),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,V_3)),V_4))
% Current number of equations to process: 2474
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [199]
% divide(divide(A,A),divide(divide(B,divide(C,V_3)),V_4)) <->
% divide(divide(V_4,divide(V_3,C)),B)
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [200]
% divide(V_3,divide(V_4,divide(C,B))) <->
% divide(divide(divide(A,A),divide(divide(B,C),V_3)),V_4)
% Current number of equations to process: 2472
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [201]
% divide(divide(divide(A,A),divide(divide(B,C),V_3)),V_4) <->
% divide(V_3,divide(V_4,divide(C,B)))
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [202]
% divide(A,divide(divide(B,B),divide(divide(divide(C,C),V_3),V_4))) <->
% divide(divide(A,V_3),V_4)
% Current number of equations to process: 2485
% Current number of ordered equations: 1
% Current number of rules: 126
% Rule [124]
% divide(divide(V_5,V_5),divide(V_4,divide(divide(C,B),V_3))) <->
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),V_4) is composed into
% [124]
% divide(divide(V_5,V_5),divide(V_4,divide(divide(C,B),V_3))) <->
% divide(divide(divide(A,A),divide(B,C)),divide(divide(c3,c3),divide(divide(
% divide(c3,c3),V_3),V_4)))
% New rule produced :
% [203]
% divide(divide(A,V_3),V_4) <->
% divide(A,divide(divide(B,B),divide(divide(divide(C,C),V_3),V_4)))
% Rule
% [123]
% divide(divide(divide(divide(A,A),divide(B,C)),V_3),V_4) <->
% divide(divide(V_5,V_5),divide(V_4,divide(divide(C,B),V_3))) collapsed.
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [204]
% divide(V_3,divide(V_4,C)) <->
% divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),V_4)
% Current number of equations to process: 2485
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [205]
% divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),V_4) <->
% divide(V_3,divide(V_4,C))
% Current number of equations to process: 2485
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [206]
% divide(C,divide(divide(B,divide(V_3,C)),divide(divide(V_4,V_4),V_3))) <->
% divide(divide(A,A),B)
% Current number of equations to process: 2484
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [207]
% divide(divide(A,A),B) <->
% divide(C,divide(divide(B,divide(V_3,C)),divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [208]
% divide(divide(A,V_3),divide(C,divide(divide(V_4,V_4),divide(B,V_3)))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 2480
% Current number of ordered equations: 3
% Current number of rules: 131
% New rule produced :
% [209]
% divide(divide(A,B),C) <->
% divide(divide(A,V_3),divide(C,divide(divide(V_4,V_4),divide(B,V_3))))
% Current number of equations to process: 2480
% Current number of ordered equations: 2
% Current number of rules: 132
% New rule produced :
% [210]
% divide(divide(A,B),divide(C,divide(B,divide(divide(V_3,V_3),V_4)))) ->
% divide(A,divide(C,V_4))
% Rule
% [90] divide(divide(A,B),divide(C,divide(B,divide(divide(V_3,V_3),C)))) -> A
% collapsed.
% Current number of equations to process: 2480
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [211]
% divide(divide(A,divide(B,divide(divide(C,C),V_3))),divide(V_4,B)) ->
% divide(divide(A,V_3),V_4)
% Rule
% [75]
% divide(divide(A,divide(B,divide(divide(C,C),A))),divide(V_3,B)) <->
% divide(divide(V_4,V_4),V_3) collapsed.
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [212]
% divide(A,divide(B,divide(divide(C,V_3),V_4))) <->
% divide(divide(divide(A,divide(V_3,C)),V_4),B)
% Current number of equations to process: 2613
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [213]
% divide(divide(divide(A,divide(V_3,C)),V_4),B) <->
% divide(A,divide(B,divide(divide(C,V_3),V_4)))
% Current number of equations to process: 2613
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [214]
% divide(divide(A,B),divide(C,divide(B,V_3))) <->
% divide(divide(divide(V_4,V_4),divide(V_3,A)),C)
% Current number of equations to process: 2917
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [215]
% divide(divide(divide(V_4,V_4),divide(V_3,A)),C) <->
% divide(divide(A,B),divide(C,divide(B,V_3)))
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [216]
% divide(divide(V_4,V_4),divide(C,divide(A,V_3))) <->
% divide(divide(A,B),divide(C,divide(B,V_3)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,c3),divide(divide(divide(c3,c3),c3),divide(c3,divide(c3,
% divide(b3,
% divide(
% divide(c3,c3),c3)))))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 3033
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [217]
% divide(divide(A,B),divide(C,divide(B,V_3))) <->
% divide(divide(V_4,V_4),divide(C,divide(A,V_3)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 138
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 41 rules have been used:
% [2]
% divide(divide(B,B),A) <-> divide(divide(c3,c3),A); trace = in the starting set
% [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A); trace = in the starting set
% [4] multiply(A,B) <-> divide(A,divide(divide(C,C),B)); trace = in the starting set
% [5] divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))
% -> B; trace = in the starting set
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B); trace = Self cp of 2
% [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C); trace = Cp of 6 and 3
% [15] divide(A,divide(divide(divide(c3,c3),B),divide(divide(divide(c3,c3),A),B)))
% <-> divide(C,C); trace = Cp of 5 and 2
% [16] divide(C,C) <-> divide(c3,c3); trace = Cp of 5 and 2
% [21] divide(A,divide(c3,c3)) -> A; trace = Cp of 16 and 5
% [22] divide(B,B) <-> divide(A,A); trace = Cp of 15 and 8
% [28] divide(A,divide(B,B)) -> A; trace = Cp of 22 and 5
% [31] divide(A,divide(divide(divide(B,B),B),divide(divide(B,B),A))) -> B; trace = Cp of 21 and 5
% [36] divide(divide(A,A),divide(divide(B,B),B)) -> B; trace = Cp of 31 and 28
% [39] divide(A,divide(divide(divide(B,B),C),divide(divide(C,C),A))) -> C; trace = Cp of 31 and 22
% [44] divide(divide(A,A),divide(divide(B,B),C)) -> C; trace = Cp of 36 and 22
% [48] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C; trace = Cp of 39 and 22
% [49] divide(A,divide(B,divide(divide(C,C),A))) <-> divide(divide(V_3,V_3),B); trace = Cp of 48 and 44
% [51] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C); trace = Cp of 49 and 44
% [52] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C; trace = Self cp of 51
% [56] divide(A,divide(divide(c3,c3),divide(divide(divide(B,B),A),divide(
% divide(B,B),B))))
% -> B; trace = Cp of 5 and 2
% [58] divide(divide(A,B),divide(divide(c3,c3),B)) -> A; trace = Cp of 56 and 52
% [62] divide(divide(A,divide(divide(B,B),C)),C) -> A; trace = Cp of 58 and 44
% [63] divide(divide(A,B),divide(divide(C,C),B)) -> A; trace = Cp of 58 and 22
% [64] divide(A,B) <-> divide(divide(C,C),divide(B,A)); trace = Cp of 62 and 52
% [65] divide(divide(c3,c3),divide(C,divide(A,divide(divide(B,B),C)))) -> A; trace = Cp of 58 and 44
% [70] divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,V_3))) <->
% divide(divide(V_4,V_4),V_3); trace = Cp of 63 and 52
% [75] divide(divide(A,divide(B,divide(divide(C,C),A))),divide(V_3,B)) <->
% divide(divide(V_4,V_4),V_3); trace = Cp of 65 and 49
% [77] divide(divide(V_4,V_4),B) <->
% divide(A,divide(B,divide(C,divide(A,divide(divide(V_3,V_3),C))))); trace = Cp of 65 and 51
% [78] divide(divide(V_3,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,A))); trace = Cp of 75 and 63
% [79] divide(divide(A,B),divide(C,divide(B,A))) <-> divide(divide(V_3,V_3),C); trace = Cp of 75 and 63
% [81] divide(divide(A,A),divide(divide(B,C),divide(V_3,divide(C,B)))) -> V_3; trace = Cp of 78 and 44
% [85] divide(divide(V_4,V_4),divide(V_3,divide(C,B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3); trace = Cp of 79 and 70
% [88] divide(divide(A,divide(B,C)),divide(C,B)) -> A; trace = Cp of 81 and 64
% [98] divide(V_4,divide(V_3,C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),divide(C,V_3)),V_4)); trace = Cp of 85 and 44
% [143] divide(A,divide(divide(divide(divide(B,B),C),V_3),divide(divide(
% divide(C,C),A),V_3)))
% -> C; trace = Cp of 22 and 5
% [144] divide(A,divide(divide(divide(B,C),V_3),divide(divide(divide(c3,c3),A),V_3)))
% -> divide(C,B); trace = Cp of 143 and 98
% [145] divide(A,divide(B,divide(divide(divide(c3,c3),A),divide(C,V_3)))) <->
% divide(divide(V_3,C),B); trace = Cp of 144 and 88
% [150] divide(divide(A,B),divide(C,B)) -> divide(A,C); trace = Cp of 145 and 52
% [162] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C)); trace = Self cp of 150
% [216] divide(divide(V_4,V_4),divide(C,divide(A,V_3))) <->
% divide(divide(A,B),divide(C,divide(B,V_3))); trace = Cp of 162 and 79
% [217] divide(divide(A,B),divide(C,divide(B,V_3))) <->
% divide(divide(V_4,V_4),divide(C,divide(A,V_3))); trace = Cp of 162 and 79
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 119.690000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------