%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP453-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n064.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 12.41s
% Output : Refutation 12.41s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP453-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n064.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 13:47:33 CDT 2014
% % CPUTime : 12.41
% Processing problem /tmp/CiME_58966_n064.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(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),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(divide(divide(A,A),divide(A,divide(B,
% divide(
% divide(
% divide(A,A),A),C)))),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(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),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(A,A) <-> divide(c3,c3)
% Rule [2] divide(divide(B,B),A) <-> divide(divide(c3,c3),A) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9] 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: 8
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [10] divide(divide(A,A),divide(c3,c3)) -> divide(c3,c3)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [11] divide(divide(A,A),divide(B,B)) -> divide(c3,c3)
% Rule [9] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C)
% collapsed.
% Rule [10] divide(divide(A,A),divide(c3,c3)) -> divide(c3,c3) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [12]
% divide(divide(divide(A,A),divide(A,divide(c3,c3))),B) ->
% divide(divide(divide(A,A),A),B)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [13] divide(divide(A,A),divide(A,divide(c3,c3))) -> divide(divide(A,A),A)
% Rule
% [12]
% divide(divide(divide(A,A),divide(A,divide(c3,c3))),B) ->
% divide(divide(divide(A,A),A),B) collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [14] divide(divide(A,A),A) <-> divide(divide(c3,c3),divide(A,divide(c3,c3)))
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [15] divide(divide(c3,c3),divide(A,divide(c3,c3))) <-> divide(divide(A,A),A)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [16]
% divide(divide(A,A),divide(c3,divide(c3,c3))) <-> divide(divide(c3,c3),c3)
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [17]
% divide(divide(c3,c3),c3) <-> divide(divide(A,A),divide(c3,divide(c3,c3)))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% Rule [14]
% divide(divide(A,A),A) <-> divide(divide(c3,c3),divide(A,divide(c3,c3))) is composed into
% [14] divide(divide(A,A),A) <-> divide(divide(c3,c3),A)
% New rule produced :
% [18] divide(divide(c3,c3),divide(A,divide(c3,c3))) -> divide(divide(c3,c3),A)
% Rule
% [15] divide(divide(c3,c3),divide(A,divide(c3,c3))) <-> divide(divide(A,A),A)
% collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [19] divide(divide(A,A),c3) <-> divide(divide(B,B),divide(c3,divide(c3,c3)))
% Rule
% [17]
% divide(divide(c3,c3),c3) <-> divide(divide(A,A),divide(c3,divide(c3,c3)))
% collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [20] divide(divide(A,A),divide(B,divide(c3,c3))) <-> divide(divide(c3,c3),B)
% Rule
% [16]
% divide(divide(A,A),divide(c3,divide(c3,c3))) <-> divide(divide(c3,c3),c3)
% collapsed.
% Rule
% [18] divide(divide(c3,c3),divide(A,divide(c3,c3))) -> divide(divide(c3,c3),A)
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [21]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
% -> B
% Current number of equations to process: 15
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [22]
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B
% Current number of equations to process: 15
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [23]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(divide(c3,c3),C)))),C)
% -> B
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [24]
% divide(divide(divide(c3,c3),divide(c3,divide(A,divide(divide(divide(B,B),c3),C)))),C)
% -> A
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [25]
% divide(divide(divide(A,A),divide(c3,divide(B,divide(divide(divide(c3,c3),c3),C)))),C)
% -> B
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [26]
% divide(divide(divide(A,A),divide(A,divide(B,divide(c3,c3)))),divide(divide(A,A),A))
% -> B
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [27]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),c3) ->
% divide(divide(c3,c3),divide(c3,divide(B,divide(c3,c3))))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% divide(divide(divide(A,A),divide(divide(B,B),C)),c3) ->
% divide(divide(c3,c3),divide(c3,divide(C,divide(c3,c3))))
% Rule
% [27]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),c3) ->
% divide(divide(c3,c3),divide(c3,divide(B,divide(c3,c3)))) collapsed.
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [29]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))),divide(
% divide(A,A),A))
% -> B
% Current number of equations to process: 90
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [30] divide(divide(divide(c3,c3),A),divide(divide(A,A),A)) -> divide(c3,c3)
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [31] divide(divide(divide(c3,c3),c3),divide(divide(A,A),c3)) -> divide(c3,c3)
% Current number of equations to process: 100
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [32] divide(divide(divide(A,A),B),divide(divide(B,B),B)) -> divide(c3,c3)
% Rule
% [30] divide(divide(divide(c3,c3),A),divide(divide(A,A),A)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [33] divide(divide(divide(A,A),c3),divide(divide(B,B),c3)) -> divide(c3,c3)
% Rule
% [31] divide(divide(divide(c3,c3),c3),divide(divide(A,A),c3)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [34] divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) -> divide(c3,c3)
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [35] divide(divide(divide(A,A),B),divide(divide(C,C),B)) -> divide(c3,c3)
% Rule
% [32] divide(divide(divide(A,A),B),divide(divide(B,B),B)) -> divide(c3,c3)
% collapsed.
% Rule
% [33] divide(divide(divide(A,A),c3),divide(divide(B,B),c3)) -> divide(c3,c3)
% collapsed.
% Rule
% [34] divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [36]
% divide(divide(divide(c3,c3),c3),divide(divide(A,A),divide(c3,divide(c3,c3))))
% -> divide(c3,c3)
% Current number of equations to process: 120
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [37]
% divide(divide(divide(A,A),divide(c3,divide(c3,c3))),divide(divide(c3,c3),c3))
% -> divide(c3,c3)
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [38]
% divide(divide(divide(A,A),divide(c3,divide(c3,c3))),divide(divide(B,B),c3))
% -> divide(c3,c3)
% Rule
% [37]
% divide(divide(divide(A,A),divide(c3,divide(c3,c3))),divide(divide(c3,c3),c3))
% -> divide(c3,c3) collapsed.
% Current number of equations to process: 118
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [39]
% divide(divide(divide(A,A),c3),divide(divide(B,B),divide(c3,divide(c3,c3))))
% -> divide(c3,c3)
% Rule
% [36]
% divide(divide(divide(c3,c3),c3),divide(divide(A,A),divide(c3,divide(c3,c3))))
% -> divide(c3,c3) collapsed.
% Current number of equations to process: 115
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [40]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(c3,c3),B))
% -> divide(c3,c3)
% Current number of equations to process: 112
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [41]
% divide(divide(divide(A,A),A),divide(divide(B,B),divide(A,divide(c3,c3)))) ->
% divide(c3,c3)
% Current number of equations to process: 110
% Current number of ordered equations: 2
% Current number of rules: 23
% New rule produced :
% [42]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(B,B),B)) ->
% divide(c3,c3)
% Current number of equations to process: 110
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [43]
% divide(divide(divide(c3,c3),A),divide(divide(B,B),divide(A,divide(c3,c3))))
% -> divide(c3,c3)
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [44]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(C,C),B)) ->
% divide(c3,c3)
% Rule
% [38]
% divide(divide(divide(A,A),divide(c3,divide(c3,c3))),divide(divide(B,B),c3))
% -> divide(c3,c3) collapsed.
% Rule
% [40]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(c3,c3),B))
% -> divide(c3,c3) collapsed.
% Rule
% [42]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(B,B),B)) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 108
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [45]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,divide(c3,c3)))) ->
% divide(c3,c3)
% Rule
% [39]
% divide(divide(divide(A,A),c3),divide(divide(B,B),divide(c3,divide(c3,c3))))
% -> divide(c3,c3) collapsed.
% Rule
% [41]
% divide(divide(divide(A,A),A),divide(divide(B,B),divide(A,divide(c3,c3)))) ->
% divide(c3,c3) collapsed.
% Rule
% [43]
% divide(divide(divide(c3,c3),A),divide(divide(B,B),divide(A,divide(c3,c3))))
% -> divide(c3,c3) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [46]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [47]
% divide(divide(divide(A,A),divide(B,divide(C,divide(divide(divide(B,B),B),V_3)))),V_3)
% -> C
% Rule
% [5]
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
% -> B collapsed.
% Rule
% [21]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
% -> B collapsed.
% Rule
% [25]
% divide(divide(divide(A,A),divide(c3,divide(B,divide(divide(divide(c3,c3),c3),C)))),C)
% -> B collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [48]
% divide(divide(divide(B,B),B),C) <->
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),C)
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [49]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),C) <->
% divide(divide(divide(B,B),B),C)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [50] divide(divide(A,A),divide(B,divide(c3,c3))) <-> divide(divide(B,B),B)
% Rule
% [13] divide(divide(A,A),divide(A,divide(c3,c3))) -> divide(divide(A,A),A)
% collapsed.
% Rule
% [49]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),C) <->
% divide(divide(divide(B,B),B),C) collapsed.
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [51] divide(divide(B,B),B) <-> divide(divide(A,A),divide(B,divide(c3,c3)))
% Rule
% [48]
% divide(divide(divide(B,B),B),C) <->
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),C) collapsed.
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [52]
% divide(divide(A,A),divide(c3,divide(c3,c3))) <->
% divide(divide(B,B),divide(c3,divide(c3,c3)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [53]
% divide(divide(divide(A,A),divide(A,divide(B,divide(c3,c3)))),divide(divide(c3,c3),A))
% -> B
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [54] divide(divide(divide(c3,c3),divide(divide(c3,c3),A)),divide(c3,c3)) -> A
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [55]
% divide(divide(C,C),divide(C,divide(B,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),C)
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [56]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),C) <->
% divide(divide(C,C),divide(C,divide(B,divide(c3,c3))))
% Rule
% [54] divide(divide(divide(c3,c3),divide(divide(c3,c3),A)),divide(c3,c3)) -> A
% collapsed.
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [57]
% divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(C,C),B)),A)
% Current number of equations to process: 196
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced :
% [58]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),divide(B,divide(c3,c3)))
% -> divide(c3,c3)
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [59]
% divide(divide(divide(c3,c3),divide(divide(C,C),B)),A) <->
% divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3))))
% Rule
% [23]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(divide(c3,c3),C)))),C)
% -> B collapsed.
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [60]
% divide(divide(V_3,V_3),divide(V_3,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3)
% Rule
% [55]
% divide(divide(C,C),divide(C,divide(B,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),C) collapsed.
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [61]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(V_3,V_3),divide(V_3,divide(C,divide(c3,c3))))
% Rule
% [28]
% divide(divide(divide(A,A),divide(divide(B,B),C)),c3) ->
% divide(divide(c3,c3),divide(c3,divide(C,divide(c3,c3)))) collapsed.
% Rule
% [56]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),C) <->
% divide(divide(C,C),divide(C,divide(B,divide(c3,c3)))) collapsed.
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [62]
% divide(divide(A,A),divide(B,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(V_3,V_3),C)),B)
% Rule
% [57]
% divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(C,C),B)),A) collapsed.
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [63]
% divide(divide(divide(A,A),divide(divide(B,B),C)),divide(C,divide(c3,c3))) ->
% divide(c3,c3)
% Rule
% [58]
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),divide(B,divide(c3,c3)))
% -> divide(c3,c3) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [64]
% divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3)
% Current number of equations to process: 219
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [65]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3))))
% Rule
% [59]
% divide(divide(divide(c3,c3),divide(divide(C,C),B)),A) <->
% divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))) collapsed.
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [66]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(divide(c3,c3),divide(divide(V_4,V_4),C)),V_3)
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [67]
% divide(divide(divide(c3,c3),divide(divide(V_4,V_4),C)),V_3) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [68]
% divide(divide(A,A),divide(B,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(V_3,V_3),divide(divide(V_4,V_4),C)),B)
% Rule
% [60]
% divide(divide(V_3,V_3),divide(V_3,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) collapsed.
% Rule
% [62]
% divide(divide(A,A),divide(B,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(V_3,V_3),C)),B) collapsed.
% Rule
% [64]
% divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [69]
% divide(divide(C,C),divide(divide(V_3,V_3),B)) <->
% divide(divide(c3,c3),divide(divide(A,A),B))
% Rule
% [66]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(divide(c3,c3),divide(divide(V_4,V_4),C)),V_3) collapsed.
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [70]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),V_3)
% Rule
% [67]
% divide(divide(divide(c3,c3),divide(divide(V_4,V_4),C)),V_3) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [71]
% divide(divide(A,A),divide(divide(B,B),C)) <->
% divide(divide(V_3,V_3),divide(divide(V_4,V_4),C))
% Rule
% [69]
% divide(divide(C,C),divide(divide(V_3,V_3),B)) <->
% divide(divide(c3,c3),divide(divide(A,A),B)) collapsed.
% Rule
% [70]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),V_3) collapsed.
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [72]
% divide(divide(c3,c3),divide(C,divide(divide(B,divide(divide(c3,c3),C)),
% divide(c3,c3)))) -> B
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [73]
% divide(B,B) <->
% divide(divide(c3,c3),divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))))
% Current number of equations to process: 375
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [73]
% divide(B,B) <->
% divide(divide(c3,c3),divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A)))) is composed into
% [73] divide(B,B) <-> divide(c3,c3)
% New rule produced :
% [74]
% divide(divide(c3,c3),divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))))
% <-> divide(B,B)
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [75]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(c3,c3),B))))
% <-> divide(C,C)
% Rule
% [74]
% divide(divide(c3,c3),divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))))
% <-> divide(B,B) collapsed.
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [76]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(C,C),B)))) <->
% divide(V_3,V_3)
% Rule
% [75]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(c3,c3),B))))
% <-> divide(C,C) collapsed.
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [77]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(divide(V_3,V_3),B))))
% <-> divide(V_4,V_4)
% Rule
% [76]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(C,C),B)))) <->
% divide(V_3,V_3) collapsed.
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [78] divide(B,B) <-> divide(A,A)
% Rule [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A) collapsed.
% Rule [8] divide(A,A) <-> divide(c3,c3) collapsed.
% Rule [14] divide(divide(A,A),A) <-> divide(divide(c3,c3),A) collapsed.
% Rule
% [52]
% divide(divide(A,A),divide(c3,divide(c3,c3))) <->
% divide(divide(B,B),divide(c3,divide(c3,c3))) collapsed.
% Rule
% [71]
% divide(divide(A,A),divide(divide(B,B),C)) <->
% divide(divide(V_3,V_3),divide(divide(V_4,V_4),C)) collapsed.
% Rule [73] divide(B,B) <-> divide(c3,c3) collapsed.
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [79] divide(divide(A,A),B) <-> divide(divide(C,C),divide(B,divide(c3,c3)))
% Rule
% [19] divide(divide(A,A),c3) <-> divide(divide(B,B),divide(c3,divide(c3,c3)))
% collapsed.
% Rule
% [51] divide(divide(B,B),B) <-> divide(divide(A,A),divide(B,divide(c3,c3)))
% collapsed.
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [80] divide(divide(A,A),divide(B,divide(C,C))) <-> divide(divide(c3,c3),B)
% Rule
% [20] divide(divide(A,A),divide(B,divide(c3,c3))) <-> divide(divide(c3,c3),B)
% collapsed.
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [81] divide(divide(A,A),divide(B,divide(C,C))) <-> divide(divide(B,B),B)
% Rule
% [50] divide(divide(A,A),divide(B,divide(c3,c3))) <-> divide(divide(B,B),B)
% collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [82]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) <->
% divide(divide(c3,c3),B)
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [83]
% divide(divide(c3,c3),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3)))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [84]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) <->
% divide(divide(B,B),B)
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [85]
% divide(divide(B,B),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3)))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [86]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(V_3,V_3))) <->
% divide(divide(c3,c3),B)
% Rule
% [82]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) <->
% divide(divide(c3,c3),B) collapsed.
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [87]
% divide(divide(A,A),B) <->
% divide(divide(C,C),divide(divide(B,divide(V_3,V_3)),divide(c3,c3)))
% Rule
% [83]
% divide(divide(c3,c3),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) collapsed.
% Rule
% [85]
% divide(divide(B,B),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) collapsed.
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [88]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(V_3,V_3))) <->
% divide(divide(B,B),B)
% Rule
% [84]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))) <->
% divide(divide(B,B),B) collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [89]
% divide(divide(A,A),divide(B,divide(C,divide(V_3,V_3)))) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B)
% Rule
% [68]
% divide(divide(A,A),divide(B,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(V_3,V_3),divide(divide(V_4,V_4),C)),B) collapsed.
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [90]
% divide(divide(divide(A,A),divide(divide(B,B),C)),divide(C,divide(V_3,V_3)))
% -> divide(c3,c3)
% Rule
% [63]
% divide(divide(divide(A,A),divide(divide(B,B),C)),divide(C,divide(c3,c3))) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [91]
% divide(divide(divide(A,A),divide(B,divide(C,C))),divide(divide(V_3,V_3),B))
% -> divide(c3,c3)
% Rule
% [44]
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),divide(divide(C,C),B)) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [92]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,divide(V_3,V_3))))
% -> divide(c3,c3)
% Rule
% [45]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,divide(c3,c3)))) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [93]
% divide(divide(A,A),divide(divide(A,divide(B,B)),divide(A,divide(c3,c3)))) ->
% divide(c3,c3)
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [94]
% divide(divide(c3,c3),divide(divide(A,divide(B,B)),divide(A,divide(c3,c3))))
% -> divide(c3,c3)
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [95]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(B,divide(c3,c3)))) ->
% divide(c3,c3)
% Rule
% [93]
% divide(divide(A,A),divide(divide(A,divide(B,B)),divide(A,divide(c3,c3)))) ->
% divide(c3,c3) collapsed.
% Rule
% [94]
% divide(divide(c3,c3),divide(divide(A,divide(B,B)),divide(A,divide(c3,c3))))
% -> divide(c3,c3) collapsed.
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [96]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(B,divide(V_3,V_3))))
% -> divide(c3,c3)
% Rule
% [95]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(B,divide(c3,c3)))) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [97]
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(C,C),A),V_3)))),V_3)
% -> B
% Rule
% [22]
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B collapsed.
% Rule
% [24]
% divide(divide(divide(c3,c3),divide(c3,divide(A,divide(divide(divide(B,B),c3),C)))),C)
% -> A collapsed.
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [98]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(c3,c3)))),
% divide(C,C)) -> B
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [99] divide(divide(divide(c3,c3),divide(divide(A,A),A)),divide(B,B)) -> A
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [100] divide(divide(c3,c3),divide(divide(c3,c3),A)) -> A
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 29
% Rule [87]
% divide(divide(A,A),B) <->
% divide(divide(C,C),divide(divide(B,divide(V_3,V_3)),divide(c3,c3))) is composed into
% [87] divide(divide(A,A),B) <-> divide(divide(C,C),B)
% Rule [79]
% divide(divide(A,A),B) <-> divide(divide(C,C),divide(B,divide(c3,c3))) is composed into
% [79] divide(divide(A,A),B) <-> divide(divide(C,C),B)
% Rule [65]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3)))) is composed into
% [65]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(c3,c3),divide(V_3,C))
% Rule [61]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(V_3,V_3),divide(V_3,divide(C,divide(c3,c3)))) is composed into
% [61]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(V_3,V_3),divide(V_3,C))
% New rule produced : [101] divide(A,divide(B,B)) -> A
% Rule [11] divide(divide(A,A),divide(B,B)) -> divide(c3,c3) collapsed.
% Rule
% [26]
% divide(divide(divide(A,A),divide(A,divide(B,divide(c3,c3)))),divide(divide(A,A),A))
% -> B collapsed.
% Rule
% [29]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))),divide(
% divide(A,A),A))
% -> B collapsed.
% Rule
% [53]
% divide(divide(divide(A,A),divide(A,divide(B,divide(c3,c3)))),divide(divide(c3,c3),A))
% -> B collapsed.
% Rule
% [72]
% divide(divide(c3,c3),divide(C,divide(divide(B,divide(divide(c3,c3),C)),
% divide(c3,c3)))) -> B collapsed.
% Rule
% [80] divide(divide(A,A),divide(B,divide(C,C))) <-> divide(divide(c3,c3),B)
% collapsed.
% Rule [81] divide(divide(A,A),divide(B,divide(C,C))) <-> divide(divide(B,B),B)
% collapsed.
% Rule
% [86]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(V_3,V_3))) <->
% divide(divide(c3,c3),B) collapsed.
% Rule
% [88]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(V_3,V_3))) <->
% divide(divide(B,B),B) collapsed.
% Rule
% [89]
% divide(divide(A,A),divide(B,divide(C,divide(V_3,V_3)))) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B) collapsed.
% Rule
% [90]
% divide(divide(divide(A,A),divide(divide(B,B),C)),divide(C,divide(V_3,V_3)))
% -> divide(c3,c3) collapsed.
% Rule
% [91]
% divide(divide(divide(A,A),divide(B,divide(C,C))),divide(divide(V_3,V_3),B))
% -> divide(c3,c3) collapsed.
% Rule
% [92]
% divide(divide(divide(A,A),B),divide(divide(C,C),divide(B,divide(V_3,V_3))))
% -> divide(c3,c3) collapsed.
% Rule
% [96]
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(B,divide(V_3,V_3))))
% -> divide(c3,c3) collapsed.
% Rule
% [98]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(c3,c3)))),
% divide(C,C)) -> B collapsed.
% Rule
% [99] divide(divide(divide(c3,c3),divide(divide(A,A),A)),divide(B,B)) -> A
% collapsed.
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [102] divide(divide(c3,c3),divide(divide(A,A),B)) -> B
% Rule [100] divide(divide(c3,c3),divide(divide(c3,c3),A)) -> A collapsed.
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [103] divide(divide(c3,c3),divide(C,divide(B,divide(divide(c3,c3),C)))) -> B
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [104] divide(divide(divide(A,A),divide(A,B)),divide(divide(A,A),A)) -> B
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [105] divide(divide(divide(c3,c3),divide(A,B)),divide(divide(A,A),A)) -> B
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [106] divide(divide(divide(A,A),divide(A,B)),divide(divide(c3,c3),A)) -> B
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [107]
% divide(divide(A,A),divide(B,C)) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B)
% Current number of equations to process: 742
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [108]
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B) <->
% divide(divide(A,A),divide(B,C))
% Rule
% [61]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(V_3,V_3),divide(V_3,C)) collapsed.
% Rule
% [65]
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(c3,c3),divide(V_3,C)) collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [109] divide(divide(A,A),divide(A,divide(B,divide(divide(C,C),A)))) -> B
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [110] divide(divide(A,A),divide(B,divide(C,divide(divide(B,B),B)))) -> C
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [111] divide(divide(A,divide(divide(c3,c3),B)),B) -> A
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 21
% Rule [107]
% divide(divide(A,A),divide(B,C)) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B) is composed into
% [107] divide(divide(A,A),divide(B,C)) <-> divide(C,B)
% New rule produced : [112] divide(divide(A,A),divide(divide(B,B),C)) -> C
% Rule
% [77]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(divide(V_3,V_3),B))))
% <-> divide(V_4,V_4) collapsed.
% Rule [102] divide(divide(c3,c3),divide(divide(A,A),B)) -> B collapsed.
% Rule
% [108]
% divide(divide(divide(V_4,V_4),divide(divide(V_5,V_5),C)),B) <->
% divide(divide(A,A),divide(B,C)) collapsed.
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [113] divide(divide(A,A),divide(B,divide(C,divide(divide(c3,c3),B)))) -> C
% Rule
% [103] divide(divide(c3,c3),divide(C,divide(B,divide(divide(c3,c3),C)))) -> B
% collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [114] divide(divide(divide(A,A),divide(A,B)),divide(divide(C,C),A)) -> B
% Rule [104] divide(divide(divide(A,A),divide(A,B)),divide(divide(A,A),A)) -> B
% collapsed.
% Rule
% [106] divide(divide(divide(A,A),divide(A,B)),divide(divide(c3,c3),A)) -> B
% collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [115] divide(divide(divide(c3,c3),divide(A,B)),divide(divide(C,C),A)) -> B
% Rule
% [105] divide(divide(divide(c3,c3),divide(A,B)),divide(divide(A,A),A)) -> B
% collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [116] divide(divide(divide(A,divide(divide(divide(B,B),C),V_3)),C),V_3) -> A
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [117] divide(divide(A,B),divide(divide(C,C),divide(B,A))) -> divide(c3,c3)
% Current number of equations to process: 744
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [118] divide(divide(divide(A,A),divide(B,C)),divide(C,B)) -> divide(c3,c3)
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [119] divide(divide(A,A),divide(B,divide(C,divide(divide(V_3,V_3),B)))) -> C
% Rule [109] divide(divide(A,A),divide(A,divide(B,divide(divide(C,C),A)))) -> B
% collapsed.
% Rule [110] divide(divide(A,A),divide(B,divide(C,divide(divide(B,B),B)))) -> C
% collapsed.
% Rule
% [113] divide(divide(A,A),divide(B,divide(C,divide(divide(c3,c3),B)))) -> C
% collapsed.
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [120] divide(divide(A,divide(divide(B,B),C)),C) -> A
% Rule [111] divide(divide(A,divide(divide(c3,c3),B)),B) -> A collapsed.
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [121] divide(divide(A,B),divide(divide(C,C),B)) -> A
% Rule
% [35] divide(divide(divide(A,A),B),divide(divide(C,C),B)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [122] divide(divide(divide(A,A),divide(divide(A,B),C)),divide(B,A)) -> C
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [123] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% Rule [114] divide(divide(divide(A,A),divide(A,B)),divide(divide(C,C),A)) -> B
% collapsed.
% Rule
% [115] divide(divide(divide(c3,c3),divide(A,B)),divide(divide(C,C),A)) -> B
% collapsed.
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [124] divide(divide(divide(A,divide(divide(B,C),V_3)),divide(C,B)),V_3) -> A
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [125] divide(divide(divide(A,divide(B,C)),divide(divide(V_3,V_3),B)),C) -> A
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [126]
% divide(divide(V_3,V_3),divide(C,divide(divide(B,B),B))) <->
% divide(divide(divide(A,A),B),C)
% Current number of equations to process: 765
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [127]
% divide(divide(divide(A,A),B),C) <->
% divide(divide(V_3,V_3),divide(C,divide(divide(B,B),B)))
% Current number of equations to process: 765
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [128]
% divide(divide(divide(A,A),A),B) <->
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A)))
% Current number of equations to process: 766
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [129]
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(A,A),A),B)
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [130] divide(divide(A,divide(B,C)),divide(C,B)) -> A
% Rule
% [118] divide(divide(divide(A,A),divide(B,C)),divide(C,B)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [131] divide(divide(divide(c3,c3),divide(divide(A,B),C)),divide(B,A)) -> C
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [132] divide(divide(A,A),B) <-> divide(C,divide(B,divide(divide(V_3,V_3),C)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,divide(c3,divide(b3,divide(divide(c3,c3),c3)))),divide(
% divide(c3,c3),c3)) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 771
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [133] divide(C,divide(B,divide(divide(V_3,V_3),C))) <-> divide(divide(A,A),B)
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [134] divide(divide(A,A),divide(divide(B,C),divide(V_3,divide(C,B)))) -> V_3
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [135]
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(c3,c3),A),B)
% Current number of equations to process: 768
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [136]
% divide(divide(divide(c3,c3),A),B) <->
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A)))
% Rule
% [46]
% divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B collapsed.
% Rule
% [131] divide(divide(divide(c3,c3),divide(divide(A,B),C)),divide(B,A)) -> C
% collapsed.
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [137] divide(divide(A,A),B) <-> divide(divide(divide(C,C),V_3),divide(B,V_3))
% Current number of equations to process: 783
% Current number of ordered equations: 1
% Current number of rules: 30
% Rule [137]
% divide(divide(A,A),B) <-> divide(divide(divide(C,C),V_3),divide(B,V_3)) is composed into
% [137] divide(divide(A,A),B) <-> divide(divide(c3,c3),B)
% New rule produced :
% [138] divide(divide(divide(C,C),V_3),divide(B,V_3)) <-> divide(divide(A,A),B)
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [139] divide(divide(A,B),divide(C,divide(B,divide(divide(V_3,V_3),C)))) -> A
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [140] divide(divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B)))),C) -> A
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [141] divide(divide(divide(A,A),divide(divide(B,C),V_3)),divide(C,B)) -> V_3
% Rule [122] divide(divide(divide(A,A),divide(divide(A,B),C)),divide(B,A)) -> C
% collapsed.
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [142] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [143]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(A,divide(divide(divide(V_3,V_3),V_4),C)),V_4)
% Current number of equations to process: 785
% Current number of ordered equations: 1
% Current number of rules: 35
% Rule [143]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(A,divide(divide(divide(V_3,V_3),V_4),C)),V_4) is composed into
% [143] divide(A,divide(divide(B,B),C)) <-> divide(A,divide(divide(c3,c3),C))
% New rule produced :
% [144]
% divide(divide(A,divide(divide(divide(V_3,V_3),V_4),C)),V_4) <->
% divide(A,divide(divide(B,B),C))
% Rule
% [116] divide(divide(divide(A,divide(divide(divide(B,B),C),V_3)),C),V_3) -> A
% collapsed.
% Rule
% [142] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% collapsed.
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [145] divide(divide(divide(A,B),divide(C,B)),divide(divide(V_3,V_3),C)) -> A
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [146]
% divide(A,divide(divide(V_4,V_4),divide(divide(C,B),V_3))) <->
% divide(divide(A,divide(B,C)),V_3)
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [147]
% divide(divide(A,divide(B,C)),V_3) <->
% divide(A,divide(divide(V_4,V_4),divide(divide(C,B),V_3)))
% Rule
% [124] divide(divide(divide(A,divide(divide(B,C),V_3)),divide(C,B)),V_3) -> A
% collapsed.
% Rule
% [125] divide(divide(divide(A,divide(B,C)),divide(divide(V_3,V_3),B)),C) -> A
% collapsed.
% Rule
% [145] divide(divide(divide(A,B),divide(C,B)),divide(divide(V_3,V_3),C)) -> A
% collapsed.
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [148]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(A,divide(divide(V_3,V_4),C)),divide(V_4,V_3))
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 35
% Rule [148]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(A,divide(divide(V_3,V_4),C)),divide(V_4,V_3)) is composed into
% [148] divide(A,divide(divide(B,B),C)) <-> divide(A,divide(divide(c3,c3),C))
% New rule produced :
% [149]
% divide(divide(A,divide(divide(V_3,V_4),C)),divide(V_4,V_3)) <->
% divide(A,divide(divide(B,B),C))
% Rule
% [141] divide(divide(divide(A,A),divide(divide(B,C),V_3)),divide(C,B)) -> V_3
% collapsed.
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [150]
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3)) <->
% divide(V_3,divide(divide(C,C),C))
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [151]
% divide(V_3,divide(divide(C,C),C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3))
% 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: 812
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [152]
% divide(divide(A,A),B) <->
% divide(divide(divide(C,C),V_3),divide(divide(V_3,V_3),divide(V_3,B)))
% Current number of equations to process: 811
% Current number of ordered equations: 1
% Current number of rules: 38
% Rule [152]
% divide(divide(A,A),B) <->
% divide(divide(divide(C,C),V_3),divide(divide(V_3,V_3),divide(V_3,B))) is composed into
% [152] divide(divide(A,A),B) <-> divide(divide(c3,c3),B)
% New rule produced :
% [153]
% divide(divide(divide(C,C),V_3),divide(divide(V_3,V_3),divide(V_3,B))) <->
% divide(divide(A,A),B)
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [154]
% divide(A,divide(divide(V_3,V_3),divide(divide(divide(V_4,V_4),B),C))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 809
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [155]
% divide(divide(A,B),C) <->
% divide(A,divide(divide(V_3,V_3),divide(divide(divide(V_4,V_4),B),C)))
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [156]
% divide(divide(A,A),B) <->
% divide(divide(C,V_3),divide(divide(V_3,V_3),divide(divide(V_3,C),B)))
% Current number of equations to process: 808
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [157]
% divide(divide(C,V_3),divide(divide(V_3,V_3),divide(divide(V_3,C),B))) <->
% divide(divide(A,A),B)
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [158]
% divide(divide(A,A),B) <->
% divide(divide(divide(C,C),V_3),divide(divide(V_4,V_4),divide(V_3,B)))
% Current number of equations to process: 807
% Current number of ordered equations: 1
% Current number of rules: 44
% Rule [158]
% divide(divide(A,A),B) <->
% divide(divide(divide(C,C),V_3),divide(divide(V_4,V_4),divide(V_3,B))) is composed into
% [158] divide(divide(A,A),B) <-> divide(divide(c3,c3),B)
% New rule produced :
% [159]
% divide(divide(divide(C,C),V_3),divide(divide(V_4,V_4),divide(V_3,B))) <->
% divide(divide(A,A),B)
% Rule
% [153]
% divide(divide(divide(C,C),V_3),divide(divide(V_3,V_3),divide(V_3,B))) <->
% divide(divide(A,A),B) collapsed.
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [160]
% 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: 804
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [161]
% 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: 804
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [162]
% divide(divide(A,A),divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),B)
% Rule
% [126]
% divide(divide(V_3,V_3),divide(C,divide(divide(B,B),B))) <->
% divide(divide(divide(A,A),B),C) collapsed.
% Rule
% [129]
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(A,A),A),B) collapsed.
% Rule
% [135]
% divide(divide(C,C),divide(B,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(c3,c3),A),B) collapsed.
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [163] divide(divide(A,A),B) <-> divide(divide(C,V_3),divide(B,divide(V_3,C)))
% Current number of equations to process: 823
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [164] divide(divide(C,V_3),divide(B,divide(V_3,C))) <-> divide(divide(A,A),B)
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [165]
% divide(B,divide(C,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(A,A),divide(A,B)),C)
% Current number of equations to process: 833
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [166]
% divide(divide(divide(A,A),divide(A,B)),C) <->
% divide(B,divide(C,divide(divide(V_3,V_3),A)))
% Rule
% [97]
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(C,C),A),V_3)))),V_3)
% -> B collapsed.
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [167] divide(C,divide(divide(B,A),divide(divide(V_3,V_3),C))) -> divide(A,B)
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [168]
% divide(C,divide(V_3,divide(divide(B,B),B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3)
% Current number of equations to process: 833
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [169]
% divide(divide(divide(A,A),divide(B,C)),V_3) <->
% divide(C,divide(V_3,divide(divide(B,B),B)))
% Rule
% [47]
% divide(divide(divide(A,A),divide(B,divide(C,divide(divide(divide(B,B),B),V_3)))),V_3)
% -> C collapsed.
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [170] divide(divide(A,B),divide(divide(C,V_3),divide(B,divide(V_3,C)))) -> A
% Current number of equations to process: 840
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [171] divide(divide(A,divide(divide(B,C),divide(V_3,divide(C,B)))),V_3) -> A
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [172]
% divide(divide(A,A),divide(divide(B,C),V_3)) <->
% divide(V_3,divide(divide(V_4,V_4),divide(C,B)))
% Current number of equations to process: 843
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [173]
% divide(V_3,divide(divide(V_4,V_4),divide(C,B))) <->
% divide(divide(A,A),divide(divide(B,C),V_3))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [174]
% 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: 865
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [175]
% 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: 865
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [176]
% divide(A,divide(divide(V_4,V_4),V_3)) <->
% divide(divide(A,B),divide(divide(divide(C,C),V_3),B))
% Current number of equations to process: 908
% Current number of ordered equations: 1
% Current number of rules: 56
% Rule [176]
% divide(A,divide(divide(V_4,V_4),V_3)) <->
% divide(divide(A,B),divide(divide(divide(C,C),V_3),B)) is composed into
% [176]
% divide(A,divide(divide(V_4,V_4),V_3)) <-> divide(A,divide(divide(c3,c3),V_3))
% New rule produced :
% [177]
% divide(divide(A,B),divide(divide(divide(C,C),V_3),B)) <->
% divide(A,divide(divide(V_4,V_4),V_3))
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [178]
% divide(A,divide(divide(V_4,V_4),C)) <->
% divide(divide(A,divide(B,C)),divide(divide(V_3,V_3),B))
% Current number of equations to process: 907
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [179]
% divide(divide(A,divide(B,C)),divide(divide(V_3,V_3),B)) <->
% divide(A,divide(divide(V_4,V_4),C))
% Rule
% [123] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% collapsed.
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [180]
% 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: 926
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [180]
% 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 [180]
% divide(A,
% divide(
% divide(V_4,V_4),
% divide(C,V_3)))
% <->
% divide(A,
% divide(
% divide(c3,c3),
% divide(C,V_3)))
% New rule produced :
% [181]
% divide(divide(A,divide(divide(B,B),C)),V_3) <->
% divide(A,divide(divide(V_4,V_4),divide(C,V_3)))
% Rule [120] divide(divide(A,divide(divide(B,B),C)),C) -> A collapsed.
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [182] divide(A,divide(B,divide(C,V_3))) <-> divide(divide(A,divide(V_3,C)),B)
% Current number of equations to process: 931
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [183] divide(divide(A,divide(V_3,C)),B) <-> divide(A,divide(B,divide(C,V_3)))
% Rule
% [140] divide(divide(A,divide(B,divide(C,divide(divide(V_3,V_3),B)))),C) -> A
% collapsed.
% Rule
% [144]
% divide(divide(A,divide(divide(divide(V_3,V_3),V_4),C)),V_4) <->
% divide(A,divide(divide(B,B),C)) collapsed.
% Rule
% [149]
% divide(divide(A,divide(divide(V_3,V_4),C)),divide(V_4,V_3)) <->
% divide(A,divide(divide(B,B),C)) collapsed.
% Rule
% [171] divide(divide(A,divide(divide(B,C),divide(V_3,divide(C,B)))),V_3) -> A
% collapsed.
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [184] divide(A,divide(B,divide(divide(C,C),C))) <-> divide(divide(A,C),B)
% Current number of equations to process: 934
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [185] divide(divide(A,C),B) <-> divide(A,divide(B,divide(divide(C,C),C)))
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [186] divide(A,divide(B,divide(divide(C,C),V_3))) <-> divide(divide(A,V_3),B)
% Rule
% [184] divide(A,divide(B,divide(divide(C,C),C))) <-> divide(divide(A,C),B)
% collapsed.
% Current number of equations to process: 936
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [187] divide(divide(A,V_3),B) <-> divide(A,divide(B,divide(divide(C,C),V_3)))
% Rule
% [185] divide(divide(A,C),B) <-> divide(A,divide(B,divide(divide(C,C),C)))
% collapsed.
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [188] divide(divide(A,divide(C,V_3)),divide(B,divide(C,V_3))) -> divide(A,B)
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [189] divide(divide(A,C),divide(B,C)) -> divide(A,B)
% Rule [121] divide(divide(A,B),divide(divide(C,C),B)) -> A collapsed.
% Rule
% [138] divide(divide(divide(C,C),V_3),divide(B,V_3)) <-> divide(divide(A,A),B)
% collapsed.
% Rule
% [177]
% divide(divide(A,B),divide(divide(divide(C,C),V_3),B)) <->
% divide(A,divide(divide(V_4,V_4),V_3)) collapsed.
% Rule
% [188] divide(divide(A,divide(C,V_3)),divide(B,divide(C,V_3))) -> divide(A,B)
% collapsed.
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [190] divide(divide(A,C),divide(divide(V_3,V_3),divide(C,B))) -> divide(A,B)
% Rule
% [117] divide(divide(A,B),divide(divide(C,C),divide(B,A))) -> divide(c3,c3)
% collapsed.
% Rule
% [159]
% divide(divide(divide(C,C),V_3),divide(divide(V_4,V_4),divide(V_3,B))) <->
% divide(divide(A,A),B) collapsed.
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [191]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(V_3,V_3),divide(divide(divide(V_4,V_4),C),A))
% Rule
% [151]
% divide(V_3,divide(divide(C,C),C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3)) collapsed.
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [192]
% divide(A,divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(V_4,V_4),divide(B,divide(A,V_3)))
% Current number of equations to process: 1160
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [193]
% divide(divide(V_4,V_4),divide(B,divide(A,V_3))) <->
% divide(A,divide(B,divide(divide(C,C),V_3)))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [194] divide(divide(C,V_3),divide(divide(B,A),divide(V_3,C))) -> divide(A,B)
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [195]
% divide(A,divide(B,divide(divide(C,C),A))) <->
% divide(divide(V_3,V_4),divide(B,divide(V_4,V_3)))
% Current number of equations to process: 1266
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [196]
% divide(divide(V_3,V_4),divide(B,divide(V_4,V_3))) <->
% divide(A,divide(B,divide(divide(C,C),A)))
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [197]
% divide(C,divide(V_3,divide(divide(V_4,V_4),B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3)
% Rule
% [165]
% divide(B,divide(C,divide(divide(V_3,V_3),A))) <->
% divide(divide(divide(A,A),divide(A,B)),C) collapsed.
% Rule
% [168]
% divide(C,divide(V_3,divide(divide(B,B),B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3) collapsed.
% Current number of equations to process: 1326
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [198]
% divide(divide(divide(A,A),divide(B,C)),V_3) <->
% divide(C,divide(V_3,divide(divide(V_4,V_4),B)))
% Rule
% [166]
% divide(divide(divide(A,A),divide(A,B)),C) <->
% divide(B,divide(C,divide(divide(V_3,V_3),A))) collapsed.
% Rule
% [169]
% divide(divide(divide(A,A),divide(B,C)),V_3) <->
% divide(C,divide(V_3,divide(divide(B,B),B))) collapsed.
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [199]
% 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: 1340
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [200]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(divide(V_3,V_3),divide(divide(V_3,C),A)),B)
% Current number of equations to process: 1583
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [201]
% divide(divide(divide(V_3,V_3),divide(divide(V_3,C),A)),B) <->
% divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [202]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_3,C),A)),B)
% Rule
% [200]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(divide(V_3,V_3),divide(divide(V_3,C),A)),B) collapsed.
% Current number of equations to process: 1582
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [203]
% divide(divide(divide(V_4,V_4),divide(divide(V_3,C),A)),B) <->
% divide(A,divide(B,divide(C,V_3)))
% Rule
% [201]
% divide(divide(divide(V_3,V_3),divide(divide(V_3,C),A)),B) <->
% divide(A,divide(B,divide(C,V_3))) collapsed.
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [204]
% divide(divide(V_4,V_4),divide(divide(V_3,divide(C,B)),A)) <->
% divide(divide(A,divide(B,C)),V_3)
% Current number of equations to process: 1576
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [205]
% divide(divide(A,divide(B,C)),V_3) <->
% divide(divide(V_4,V_4),divide(divide(V_3,divide(C,B)),A))
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [206] divide(A,divide(V_3,C)) <-> divide(divide(A,divide(B,C)),divide(V_3,B))
% Current number of equations to process: 2121
% Current number of ordered equations: 3
% Current number of rules: 65
% New rule produced :
% [207] divide(divide(A,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,V_3)))
% Current number of equations to process: 2121
% Current number of ordered equations: 2
% Current number of rules: 66
% New rule produced :
% [208] divide(divide(A,B),divide(C,divide(B,V_3))) <-> divide(divide(A,V_3),C)
% Current number of equations to process: 2121
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [209] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C))
% Rule [130] divide(divide(A,divide(B,C)),divide(C,B)) -> A collapsed.
% Current number of equations to process: 2121
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [210]
% divide(divide(A,divide(divide(V_3,C),V_4)),B) <->
% divide(A,divide(divide(B,divide(C,V_3)),V_4))
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [211]
% divide(A,divide(divide(B,divide(C,V_3)),V_4)) <->
% divide(divide(A,divide(divide(V_3,C),V_4)),B)
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [212]
% divide(A,divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(A,V_4),divide(B,divide(V_4,V_3)))
% Current number of equations to process: 2173
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [213]
% divide(divide(A,V_4),divide(B,divide(V_4,V_3))) <->
% divide(A,divide(B,divide(divide(C,C),V_3)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 71
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 67 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(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),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(A,A) <-> divide(c3,c3); trace = Cp of 5 and 2
% [9] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C); trace = Cp of 6 and 3
% [11] divide(divide(A,A),divide(B,B)) -> divide(c3,c3); trace = Cp of 9 and 5
% [12] divide(divide(divide(A,A),divide(A,divide(c3,c3))),B) ->
% divide(divide(divide(A,A),A),B); trace = Cp of 8 and 5
% [13] divide(divide(A,A),divide(A,divide(c3,c3))) -> divide(divide(A,A),A); trace = Cp of 12 and 5
% [14] divide(divide(A,A),A) <-> divide(divide(c3,c3),A); trace = Cp of 13 and 8
% [18] divide(divide(c3,c3),divide(A,divide(c3,c3))) -> divide(divide(c3,c3),A); trace = Cp of 14 and 8
% [20] divide(divide(A,A),divide(B,divide(c3,c3))) <-> divide(divide(c3,c3),B); trace = Cp of 18 and 3
% [21] divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
% -> B; trace = Cp of 5 and 2
% [22] divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B; trace = Cp of 5 and 2
% [23] divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(divide(c3,c3),C)))),C)
% -> B; trace = Cp of 5 and 2
% [29] divide(divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))),divide(
% divide(A,A),A))
% -> B; trace = Cp of 21 and 8
% [30] divide(divide(divide(c3,c3),A),divide(divide(A,A),A)) -> divide(c3,c3); trace = Cp of 29 and 8
% [32] divide(divide(divide(A,A),B),divide(divide(B,B),B)) -> divide(c3,c3); trace = Cp of 30 and 3
% [34] divide(divide(divide(A,A),B),divide(divide(c3,c3),B)) -> divide(c3,c3); trace = Cp of 32 and 14
% [35] divide(divide(divide(A,A),B),divide(divide(C,C),B)) -> divide(c3,c3); trace = Cp of 34 and 3
% [46] divide(divide(divide(c3,c3),divide(A,divide(B,divide(divide(divide(c3,c3),A),C)))),C)
% -> B; trace = Cp of 21 and 14
% [47] divide(divide(divide(A,A),divide(B,divide(C,divide(divide(divide(B,B),B),V_3)))),V_3)
% -> C; trace = Cp of 21 and 3
% [48] divide(divide(divide(B,B),B),C) <->
% divide(divide(divide(A,A),divide(B,divide(c3,c3))),C); trace = Cp of 47 and 8
% [51] divide(divide(B,B),B) <-> divide(divide(A,A),divide(B,divide(c3,c3))); trace = Cp of 48 and 29
% [53] divide(divide(divide(A,A),divide(A,divide(B,divide(c3,c3)))),divide(
% divide(c3,c3),A))
% -> B; trace = Cp of 22 and 8
% [55] divide(divide(C,C),divide(C,divide(B,divide(c3,c3)))) <->
% divide(divide(divide(c3,c3),divide(divide(A,A),B)),C); trace = Cp of 53 and 23
% [56] divide(divide(divide(c3,c3),divide(divide(A,A),B)),C) <->
% divide(divide(C,C),divide(C,divide(B,divide(c3,c3)))); trace = Cp of 53 and 23
% [59] divide(divide(divide(c3,c3),divide(divide(C,C),B)),A) <->
% divide(divide(c3,c3),divide(A,divide(B,divide(c3,c3)))); trace = Cp of 55 and 8
% [61] divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(V_3,V_3),divide(V_3,divide(C,divide(c3,c3)))); trace = Cp of 56 and 3
% [64] divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(A,A),divide(divide(B,B),C)),V_3); trace = Cp of 59 and 3
% [65] divide(divide(divide(A,A),divide(divide(B,B),C)),V_3) <->
% divide(divide(c3,c3),divide(V_3,divide(C,divide(c3,c3)))); trace = Cp of 59 and 3
% [68] divide(divide(A,A),divide(B,divide(C,divide(c3,c3)))) <->
% divide(divide(divide(V_3,V_3),divide(divide(V_4,V_4),C)),B); trace = Cp of 64 and 3
% [72] divide(divide(c3,c3),divide(C,divide(divide(B,divide(divide(c3,c3),C)),
% divide(c3,c3)))) -> B; trace = Cp of 5 and 2
% [74] divide(divide(c3,c3),divide(A,divide(divide(c3,c3),divide(divide(c3,c3),A))))
% <-> divide(B,B); trace = Cp of 72 and 65
% [75] divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(c3,c3),B))))
% <-> divide(C,C); trace = Cp of 74 and 3
% [76] divide(divide(A,A),divide(B,divide(divide(c3,c3),divide(divide(C,C),B))))
% <-> divide(V_3,V_3); trace = Cp of 75 and 3
% [77] divide(divide(A,A),divide(B,divide(divide(C,C),divide(divide(V_3,V_3),B))))
% <-> divide(V_4,V_4); trace = Cp of 76 and 3
% [78] divide(B,B) <-> divide(A,A); trace = Cp of 77 and 61
% [79] divide(divide(A,A),B) <-> divide(divide(C,C),divide(B,divide(c3,c3))); trace = Cp of 78 and 51
% [80] divide(divide(A,A),divide(B,divide(C,C))) <-> divide(divide(c3,c3),B); trace = Cp of 78 and 20
% [83] divide(divide(c3,c3),B) <->
% divide(divide(A,A),divide(divide(B,divide(C,C)),divide(c3,c3))); trace = Cp of 80 and 79
% [87] divide(divide(A,A),B) <-> divide(divide(C,C),B); trace = Cp of 83 and 78
% [97] divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(C,C),A),V_3)))),V_3)
% -> B; trace = Cp of 22 and 3
% [98] divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,divide(c3,c3)))),
% divide(C,C)) -> B; trace = Cp of 23 and 11
% [101] divide(A,divide(B,B)) -> A; trace = Cp of 98 and 65
% [102] divide(divide(c3,c3),divide(divide(A,A),B)) -> B; trace = Cp of 23 and 11
% [104] divide(divide(divide(A,A),divide(A,B)),divide(divide(A,A),A)) -> B; trace = Cp of 8 and 5
% [107] divide(divide(A,A),divide(B,C)) <-> divide(C,B); trace = Cp of 78 and 68
% [109] divide(divide(A,A),divide(A,divide(B,divide(divide(C,C),A)))) -> B; trace = Cp of 101 and 97
% [111] divide(divide(A,divide(divide(c3,c3),B)),B) -> A; trace = Cp of 101 and 46
% [112] divide(divide(A,A),divide(divide(B,B),C)) -> C; trace = Cp of 102 and 87
% [114] divide(divide(divide(A,A),divide(A,B)),divide(divide(C,C),A)) -> B; trace = Cp of 104 and 87
% [116] divide(divide(divide(A,divide(divide(divide(B,B),C),V_3)),C),V_3) -> A; trace = Cp of 107 and 97
% [118] divide(divide(divide(A,A),divide(B,C)),divide(C,B)) -> divide(c3,c3); trace = Cp of 107 and 35
% [119] divide(divide(A,A),divide(B,divide(C,divide(divide(V_3,V_3),B)))) -> C; trace = Cp of 109 and 87
% [120] divide(divide(A,divide(divide(B,B),C)),C) -> A; trace = Cp of 111 and 87
% [121] divide(divide(A,B),divide(divide(C,C),B)) -> A; trace = Cp of 114 and 107
% [124] divide(divide(divide(A,divide(divide(B,C),V_3)),divide(C,B)),V_3) -> A; trace = Cp of 116 and 107
% [126] divide(divide(V_3,V_3),divide(C,divide(divide(B,B),B))) <->
% divide(divide(divide(A,A),B),C); trace = Cp of 118 and 47
% [132] divide(divide(A,A),B) <-> divide(C,divide(B,divide(divide(V_3,V_3),C))); trace = Cp of 119 and 107
% [144] divide(divide(A,divide(divide(divide(V_3,V_3),V_4),C)),V_4) <->
% divide(A,divide(divide(B,B),C)); trace = Cp of 121 and 116
% [146] divide(A,divide(divide(V_4,V_4),divide(divide(C,B),V_3))) <->
% divide(divide(A,divide(B,C)),V_3); trace = Cp of 124 and 120
% [151] divide(V_3,divide(divide(C,C),C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3)); trace = Cp of 126 and 112
% [179] divide(divide(A,divide(B,C)),divide(divide(V_3,V_3),B)) <->
% divide(A,divide(divide(V_4,V_4),C)); trace = Cp of 144 and 112
% [182] divide(A,divide(B,divide(C,V_3))) <-> divide(divide(A,divide(V_3,C)),B); trace = Cp of 146 and 107
% [213] divide(divide(A,V_4),divide(B,divide(V_4,V_3))) <->
% divide(A,divide(B,divide(divide(C,C),V_3))); trace = Cp of 182 and 179
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 11.280000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------