TSTP Solution File: GRP477-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP477-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n085.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 00:23:16 EDT 2014

% Result   : Unsatisfiable 3.57s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP477-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n085.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 14:11:08 CDT 2014
% % CPUTime  : 3.57 
% Processing problem /tmp/CiME_15605_n085.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant;  multiply : 2;  inverse : 1;  divide : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D;
% multiply(A,B) = divide(A,inverse(B));
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > divide > inverse > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > divide > inverse > 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(inverse(divide(divide(divide(A,B),C),
% divide(D,C))),divide(B,A)) = D,
% multiply(A,B) = divide(A,inverse(B)) }
% (2 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] multiply(A,B) -> divide(A,inverse(B))
% The conjecture has been reduced. 
% Conjecture is now:
% divide(divide(a3,inverse(b3)),inverse(c3)) = divide(a3,inverse(divide(b3,
% inverse(c3))))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) -> D
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) <->
% divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)) <->
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5)))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)),
% divide(C,D)) -> V_4
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(divide(divide(divide(B,C),D),divide(divide(A,divide(C,B)),D))) -> A
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),C) -> D
% Rule
% [5]
% divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)),
% divide(C,D)) -> V_4 collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% inverse(divide(divide(divide(A,B),C),divide(D,C))) <->
% inverse(divide(divide(divide(A,B),V_4),divide(D,V_4)))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% inverse(divide(divide(A,B),divide(C,B))) <->
% inverse(divide(divide(A,D),divide(C,D)))
% Rule
% [8]
% inverse(divide(divide(divide(A,B),C),divide(D,C))) <->
% inverse(divide(divide(divide(A,B),V_4),divide(D,V_4))) collapsed.
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10]
% divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)) <->
% divide(inverse(divide(divide(divide(V_4,V_5),C),D)),divide(V_5,V_4))
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% divide(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(
% divide(
% divide(D,C),V_4),A)))),V_4)
% -> B
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,V_4),inverse(divide(
% divide(
% divide(V_4,D),C),A))))
% -> B
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% inverse(divide(A,divide(divide(B,divide(divide(C,D),inverse(divide(divide(
% divide(D,C),V_4),A)))),V_4)))
% -> B
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [14]
% inverse(divide(divide(inverse(divide(divide(divide(B,C),divide(D,divide(C,B))),A)),V_4),
% divide(D,V_4))) -> inverse(A)
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [15]
% divide(A,divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(
% divide(V_4,V_5),D)))))
% -> divide(A,divide(V_5,V_4))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [16]
% divide(divide(C,D),inverse(divide(divide(divide(D,C),V_4),divide(divide(B,A),V_4))))
% -> divide(A,B)
% Rule
% [15]
% divide(A,divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(
% divide(V_4,V_5),D)))))
% -> divide(A,divide(V_5,V_4)) collapsed.
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [17]
% divide(divide(A,B),inverse(divide(divide(divide(B,A),C),D))) <->
% divide(divide(V_4,V_5),inverse(divide(divide(divide(V_5,V_4),C),D)))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [18]
% inverse(divide(divide(divide(V_4,divide(D,C)),V_5),divide(divide(B,A),V_5)))
% <-> divide(divide(inverse(divide(A,B)),divide(C,D)),V_4)
% Current number of equations to process: 330
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [19]
% divide(divide(inverse(divide(A,B)),divide(C,D)),V_4) <->
% inverse(divide(divide(divide(V_4,divide(D,C)),V_5),divide(divide(B,A),V_5)))
% Rule
% [7]
% divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),C) -> D
% collapsed.
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20]
% divide(divide(divide(inverse(divide(A,B)),divide(C,D)),V_4),divide(divide(D,C),V_4))
% -> divide(B,A)
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [21]
% divide(divide(divide(A,B),C),divide(divide(inverse(divide(D,V_4)),divide(B,A)),C))
% -> divide(D,V_4)
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [22]
% divide(divide(A,B),divide(divide(C,D),B)) <->
% divide(divide(A,V_4),divide(divide(C,D),V_4))
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [23] divide(divide(A,B),divide(C,B)) <-> divide(divide(A,D),divide(C,D))
% Rule
% [9]
% inverse(divide(divide(A,B),divide(C,B))) <->
% inverse(divide(divide(A,D),divide(C,D))) collapsed.
% Rule
% [22]
% divide(divide(A,B),divide(divide(C,D),B)) <->
% divide(divide(A,V_4),divide(divide(C,D),V_4)) collapsed.
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [24]
% inverse(divide(A,B)) <->
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(B,A)))
% Rule
% [14]
% inverse(divide(divide(inverse(divide(divide(divide(B,C),divide(D,divide(C,B))),A)),V_4),
% divide(D,V_4))) -> inverse(A) collapsed.
% Current number of equations to process: 472
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [25]
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(B,A))) <->
% inverse(divide(A,B))
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26]
% divide(divide(divide(A,B),C),divide(divide(inverse(D),divide(B,A)),C)) -> D
% Rule
% [21]
% divide(divide(divide(A,B),C),divide(divide(inverse(divide(D,V_4)),divide(B,A)),C))
% -> divide(D,V_4) collapsed.
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% divide(divide(inverse(divide(A,B)),divide(B,A)),C) <->
% divide(divide(inverse(divide(D,V_4)),divide(V_4,D)),C)
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(B,A)))) ->
% divide(D,C)
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [29] divide(divide(divide(A,B),inverse(divide(B,A))),inverse(C)) -> C
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% divide(divide(divide(A,B),inverse(divide(C,D))),inverse(divide(D,C))) ->
% divide(A,B)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31]
% divide(inverse(divide(A,B)),divide(B,A)) <->
% divide(inverse(divide(C,D)),divide(D,C))
% Rule
% [27]
% divide(divide(inverse(divide(A,B)),divide(B,A)),C) <->
% divide(divide(inverse(divide(D,V_4)),divide(V_4,D)),C) collapsed.
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [32]
% divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(D,C)))) ->
% divide(B,A)
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [33]
% divide(divide(C,D),inverse(divide(D,C))) <->
% divide(inverse(divide(A,B)),inverse(divide(A,B)))
% Current number of equations to process: 754
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [34]
% divide(inverse(divide(A,B)),inverse(divide(A,B))) <->
% divide(divide(C,D),inverse(divide(D,C)))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [35]
% divide(inverse(divide(inverse(divide(A,B)),divide(B,A))),inverse(C)) -> C
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 26
% Rule [24]
% inverse(divide(A,B)) <->
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(B,A))) is composed into 
% [24] inverse(divide(A,B)) <-> divide(B,A)
% New rule produced :
% [36] divide(divide(inverse(divide(A,B)),divide(B,A)),inverse(C)) -> C
% Rule
% [25]
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(B,A))) <->
% inverse(divide(A,B)) collapsed.
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% divide(A,divide(divide(inverse(B),divide(inverse(divide(C,D)),divide(D,C))),
% inverse(A))) -> B
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38]
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) <->
% divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A))))
% Current number of equations to process: 827
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [39]
% divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A)))) <->
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D))))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [40] divide(divide(A,inverse(divide(B,C))),inverse(divide(C,B))) -> A
% Rule
% [30]
% divide(divide(divide(A,B),inverse(divide(C,D))),inverse(divide(D,C))) ->
% divide(A,B) collapsed.
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [41]
% divide(divide(A,B),inverse(divide(B,A))) <->
% divide(divide(C,D),inverse(divide(D,C)))
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42]
% divide(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),B)) -> A
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [43]
% divide(divide(A,B),divide(A,B)) <-> divide(inverse(divide(C,D)),divide(D,C))
% Current number of equations to process: 880
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [44]
% divide(inverse(divide(C,D)),divide(D,C)) <-> divide(divide(A,B),divide(A,B))
% Rule
% [31]
% divide(inverse(divide(A,B)),divide(B,A)) <->
% divide(inverse(divide(C,D)),divide(D,C)) collapsed.
% Rule
% [35]
% divide(inverse(divide(inverse(divide(A,B)),divide(B,A))),inverse(C)) -> C
% collapsed.
% Rule [36] divide(divide(inverse(divide(A,B)),divide(B,A)),inverse(C)) -> C
% collapsed.
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [45] divide(divide(divide(A,B),divide(A,B)),inverse(C)) -> C
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [46]
% divide(divide(A,B),divide(A,B)) <-> divide(divide(C,D),inverse(divide(D,C)))
% Current number of equations to process: 879
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [47]
% divide(divide(C,D),inverse(divide(D,C))) <-> divide(divide(A,B),divide(A,B))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [48]
% divide(divide(A,B),divide(divide(C,D),inverse(divide(D,C)))) -> divide(A,B)
% Current number of equations to process: 916
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [49]
% divide(inverse(divide(A,B)),divide(divide(C,D),divide(C,D))) -> divide(B,A)
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [50]
% divide(inverse(divide(A,B)),divide(inverse(divide(C,D)),divide(D,C))) ->
% divide(B,A)
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [51]
% divide(divide(A,B),divide(divide(divide(C,D),inverse(divide(D,C))),B)) -> A
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [52]
% divide(inverse(divide(A,B)),inverse(divide(A,B))) <->
% divide(inverse(divide(C,D)),divide(D,C))
% Current number of equations to process: 957
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [53]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% divide(inverse(divide(A,B)),inverse(divide(A,B)))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [54]
% divide(divide(inverse(divide(A,B)),inverse(divide(A,B))),inverse(C)) -> C
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [55] divide(A,A) <-> divide(divide(B,C),inverse(divide(C,B)))
% Rule
% [34]
% divide(inverse(divide(A,B)),inverse(divide(A,B))) <->
% divide(divide(C,D),inverse(divide(D,C))) collapsed.
% Rule
% [46]
% divide(divide(A,B),divide(A,B)) <-> divide(divide(C,D),inverse(divide(D,C)))
% collapsed.
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [56]
% divide(A,divide(divide(inverse(B),divide(divide(C,D),divide(C,D))),inverse(A)))
% -> B
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [57]
% divide(divide(divide(divide(A,B),divide(A,B)),C),divide(divide(D,V_4),C)) ->
% divide(V_4,D)
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [58]
% divide(A,divide(B,inverse(A))) <->
% divide(divide(divide(divide(C,D),inverse(divide(D,C))),V_4),divide(B,V_4))
% Current number of equations to process: 996
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced : [59] divide(divide(A,inverse(B)),B) -> A
% Current number of equations to process: 996
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [60]
% divide(divide(divide(divide(C,D),inverse(divide(D,C))),V_4),divide(B,V_4))
% <-> divide(A,divide(B,inverse(A)))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [61]
% divide(inverse(A),divide(inverse(divide(B,C)),divide(C,B))) -> inverse(A)
% Rule
% [37]
% divide(A,divide(divide(inverse(B),divide(inverse(divide(C,D)),divide(D,C))),
% inverse(A))) -> B collapsed.
% Rule
% [50]
% divide(inverse(divide(A,B)),divide(inverse(divide(C,D)),divide(D,C))) ->
% divide(B,A) collapsed.
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [62] divide(A,divide(inverse(B),inverse(A))) -> B
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [63]
% inverse(divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A))))) -> C
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [64]
% divide(inverse(A),divide(divide(B,C),divide(B,C))) <->
% divide(inverse(divide(D,V_4)),divide(A,inverse(divide(V_4,D))))
% Current number of equations to process: 997
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [65]
% divide(inverse(divide(D,V_4)),divide(A,inverse(divide(V_4,D)))) <->
% divide(inverse(A),divide(divide(B,C),divide(B,C)))
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [66]
% divide(divide(divide(A,B),divide(C,B)),divide(D,divide(C,V_4))) <->
% divide(divide(divide(A,V_4),V_5),divide(D,V_5))
% Current number of equations to process: 995
% Current number of ordered equations: 3
% Current number of rules: 48
% New rule produced :
% [67]
% divide(divide(A,V_5),divide(divide(D,C),V_5)) <->
% divide(divide(A,divide(B,C)),divide(divide(D,V_4),divide(B,V_4)))
% Current number of equations to process: 995
% Current number of ordered equations: 2
% Current number of rules: 49
% New rule produced :
% [68]
% divide(divide(A,divide(B,C)),divide(divide(D,V_4),divide(B,V_4))) <->
% divide(divide(A,V_5),divide(divide(D,C),V_5))
% Current number of equations to process: 995
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [69]
% divide(divide(divide(A,V_4),V_5),divide(D,V_5)) <->
% divide(divide(divide(A,B),divide(C,B)),divide(D,divide(C,V_4)))
% Rule
% [20]
% divide(divide(divide(inverse(divide(A,B)),divide(C,D)),V_4),divide(divide(D,C),V_4))
% -> divide(B,A) collapsed.
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [70]
% inverse(divide(divide(divide(A,B),C),divide(divide(divide(D,V_4),divide(B,V_4)),C)))
% <-> divide(D,A)
% Current number of equations to process: 995
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [71]
% divide(D,A) <->
% inverse(divide(divide(divide(A,B),C),divide(divide(divide(D,V_4),divide(B,V_4)),C)))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [72]
% divide(A,divide(B,divide(divide(inverse(A),divide(C,D)),V_4))) <->
% divide(divide(divide(divide(D,C),V_4),V_5),divide(B,V_5))
% Current number of equations to process: 993
% Current number of ordered equations: 3
% Current number of rules: 53
% New rule produced :
% [73]
% divide(divide(A,V_5),divide(divide(divide(D,C),V_4),V_5)) <->
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B)
% Current number of equations to process: 993
% Current number of ordered equations: 2
% Current number of rules: 54
% New rule produced :
% [74]
% divide(divide(divide(divide(D,C),V_4),V_5),divide(B,V_5)) <->
% divide(A,divide(B,divide(divide(inverse(A),divide(C,D)),V_4)))
% Current number of equations to process: 993
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [75]
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B) <->
% divide(divide(A,V_5),divide(divide(divide(D,C),V_4),V_5))
% Current number of equations to process: 993
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [76]
% divide(A,divide(divide(B,C),divide(divide(inverse(divide(D,V_4)),divide(V_4,D)),A)))
% -> divide(C,B)
% Current number of equations to process: 991
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [77]
% divide(A,divide(divide(B,C),divide(divide(divide(c3,c3),divide(c3,c3)),A)))
% -> divide(C,B)
% Current number of equations to process: 990
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [78]
% inverse(divide(inverse(A),divide(divide(B,divide(divide(C,D),inverse(A))),
% inverse(divide(C,D))))) -> B
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [79]
% divide(divide(inverse(divide(inverse(A),B)),divide(divide(C,D),inverse(A))),
% inverse(divide(C,D))) -> B
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [80]
% divide(inverse(divide(inverse(A),divide(B,inverse(divide(C,D))))),divide(
% divide(C,D),
% inverse(A)))
% -> B
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [81]
% divide(divide(divide(inverse(divide(C,D)),divide(D,C)),V_4),divide(divide(B,A),V_4))
% -> divide(A,B)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [82]
% inverse(divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D))))) -> C
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [83]
% divide(divide(divide(inverse(A),divide(divide(B,C),inverse(divide(C,B)))),
% inverse(A)),inverse(D)) -> D
% Current number of equations to process: 982
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced : [84] divide(divide(A,A),inverse(D)) -> D
% Rule [45] divide(divide(divide(A,B),divide(A,B)),inverse(C)) -> C collapsed.
% Rule
% [54]
% divide(divide(inverse(divide(A,B)),inverse(divide(A,B))),inverse(C)) -> C
% collapsed.
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [85]
% divide(divide(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),V_4)),V_4)
% -> divide(A,B)
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [86]
% divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(divide(D,V_4),C))
% -> divide(V_4,D)
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 65
% Rule [64]
% divide(inverse(A),divide(divide(B,C),divide(B,C))) <->
% divide(inverse(divide(D,V_4)),divide(A,inverse(divide(V_4,D)))) is composed into 
% [64] divide(inverse(A),divide(divide(B,C),divide(B,C))) -> inverse(A)
% Rule [38]
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) <->
% divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A)))) is composed into 
% [38]
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) -> inverse(C)
% New rule produced :
% [87]
% divide(inverse(divide(B,C)),divide(A,inverse(divide(C,B)))) -> inverse(A)
% Rule
% [28]
% divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(B,A)))) ->
% divide(D,C) collapsed.
% Rule
% [39]
% divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A)))) <->
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) collapsed.
% Rule
% [63]
% inverse(divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A))))) -> C
% collapsed.
% Rule
% [65]
% divide(inverse(divide(D,V_4)),divide(A,inverse(divide(V_4,D)))) <->
% divide(inverse(A),divide(divide(B,C),divide(B,C))) collapsed.
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [88] inverse(inverse(C)) -> C
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [89] divide(inverse(A),divide(B,B)) -> inverse(A)
% Rule
% [49]
% divide(inverse(divide(A,B)),divide(divide(C,D),divide(C,D))) -> divide(B,A)
% collapsed.
% Rule
% [56]
% divide(A,divide(divide(inverse(B),divide(divide(C,D),divide(C,D))),inverse(A)))
% -> B collapsed.
% Rule [64] divide(inverse(A),divide(divide(B,C),divide(B,C))) -> inverse(A)
% collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [90] divide(A,divide(divide(B,C),inverse(divide(C,B)))) -> A
% Rule
% [32]
% divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(D,C)))) ->
% divide(B,A) collapsed.
% Rule
% [38]
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) -> inverse(C)
% collapsed.
% Rule
% [48]
% divide(divide(A,B),divide(divide(C,D),inverse(divide(D,C)))) -> divide(A,B)
% collapsed.
% Rule
% [82]
% inverse(divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D))))) -> C
% collapsed.
% Rule
% [83]
% divide(divide(divide(inverse(A),divide(divide(B,C),inverse(divide(C,B)))),
% inverse(A)),inverse(D)) -> D collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [91] divide(divide(A,B),divide(divide(inverse(C),inverse(A)),B)) -> C
% Current number of equations to process: 1012
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [92] divide(divide(inverse(A),B),divide(divide(inverse(C),A),B)) -> C
% Current number of equations to process: 1012
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93] inverse(divide(divide(A,B),divide(divide(C,inverse(A)),B))) -> C
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [94] inverse(divide(divide(inverse(A),B),divide(divide(C,A),B))) -> C
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [95] divide(divide(A,divide(B,C)),inverse(divide(B,C))) -> A
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [96] divide(inverse(divide(divide(A,B),divide(C,B))),inverse(A)) -> C
% Current number of equations to process: 1022
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [97] divide(inverse(divide(divide(inverse(A),B),divide(C,B))),A) -> C
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [98]
% divide(inverse(divide(inverse(divide(A,B)),C)),inverse(divide(B,A))) -> C
% Current number of equations to process: 1031
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [99]
% divide(A,inverse(divide(divide(inverse(A),B),divide(divide(C,D),B)))) ->
% divide(D,C)
% Current number of equations to process: 1036
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [100]
% divide(inverse(A),inverse(divide(divide(A,B),divide(divide(C,D),B)))) ->
% divide(D,C)
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [101]
% divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))) ->
% inverse(D)
% Rule
% [16]
% divide(divide(C,D),inverse(divide(divide(divide(D,C),V_4),divide(divide(B,A),V_4))))
% -> divide(A,B) collapsed.
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [102] divide(divide(A,B),inverse(B)) -> A
% Rule [95] divide(divide(A,divide(B,C)),inverse(divide(B,C))) -> A collapsed.
% Current number of equations to process: 1051
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [103]
% divide(divide(divide(divide(A,B),divide(A,B)),C),divide(inverse(D),C)) -> D
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [104] inverse(divide(divide(divide(A,B),divide(A,B)),C)) -> C
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [105]
% inverse(divide(divide(divide(divide(A,B),divide(A,B)),C),divide(D,C))) -> D
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [106]
% inverse(divide(divide(divide(D,divide(C,B)),V_4),divide(A,V_4))) <->
% divide(divide(A,divide(B,C)),D)
% Current number of equations to process: 1061
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(divide(divide(D,divide(C,B)),V_4),divide(A,V_4)))
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [108]
% divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(inverse(D),C))
% -> D
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [109]
% inverse(divide(divide(A,B),inverse(divide(B,A)))) <->
% divide(inverse(divide(C,D)),divide(D,C))
% Current number of equations to process: 1061
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [110]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% inverse(divide(divide(A,B),inverse(divide(B,A))))
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [111]
% inverse(divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(D,C)))
% -> D
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [112]
% inverse(divide(divide(A,B),divide(divide(C,D),B))) <->
% divide(inverse(divide(D,C)),A)
% Current number of equations to process: 1079
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [113]
% divide(inverse(divide(D,C)),A) <->
% inverse(divide(divide(A,B),divide(divide(C,D),B)))
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [113]
% divide(inverse(divide(D,C)),A) <->
% inverse(divide(divide(A,B),divide(divide(C,D),B))) is composed into 
% [113]
% divide(inverse(divide(D,C)),A) <-> inverse(divide(A,inverse(divide(D,C))))
% Rule [75]
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B) <->
% divide(divide(A,V_5),divide(divide(divide(D,C),V_4),V_5)) is composed into 
% [75]
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B) ->
% divide(A,inverse(divide(V_4,divide(D,C))))
% Rule [71]
% divide(D,A) <->
% inverse(divide(divide(divide(A,B),C),divide(divide(divide(D,V_4),
% divide(B,V_4)),C))) is composed into 
% [71]
% divide(D,A) <->
% inverse(divide(divide(A,B),inverse(divide(divide(B,V_4),divide(D,V_4)))))
% Rule [68]
% divide(divide(A,divide(B,C)),divide(divide(D,V_4),divide(B,V_4))) <->
% divide(divide(A,V_5),divide(divide(D,C),V_5)) is composed into [68]
% divide(
% divide(A,
% divide(B,C)),
% divide(
% divide(D,V_4),
% divide(B,V_4)))
% ->
% divide(A,
% inverse(
% divide(C,D)))
% Rule [19]
% divide(divide(inverse(divide(A,B)),divide(C,D)),V_4) <->
% inverse(divide(divide(divide(V_4,divide(D,C)),V_5),divide(divide(B,A),V_5))) is composed into 
% [19]
% divide(divide(inverse(divide(A,B)),divide(C,D)),V_4) <->
% inverse(divide(divide(V_4,divide(D,C)),inverse(divide(A,B))))
% New rule produced :
% [114]
% divide(divide(A,D),divide(divide(C,B),D)) -> divide(A,inverse(divide(B,C)))
% Rule
% [6]
% inverse(divide(divide(divide(B,C),D),divide(divide(A,divide(C,B)),D))) -> A
% collapsed.
% Rule
% [18]
% inverse(divide(divide(divide(V_4,divide(D,C)),V_5),divide(divide(B,A),V_5)))
% <-> divide(divide(inverse(divide(A,B)),divide(C,D)),V_4) collapsed.
% Rule
% [26]
% divide(divide(divide(A,B),C),divide(divide(inverse(D),divide(B,A)),C)) -> D
% collapsed.
% Rule
% [42]
% divide(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),B)) -> A
% collapsed.
% Rule
% [51]
% divide(divide(A,B),divide(divide(divide(C,D),inverse(divide(D,C))),B)) -> A
% collapsed.
% Rule
% [57]
% divide(divide(divide(divide(A,B),divide(A,B)),C),divide(divide(D,V_4),C)) ->
% divide(V_4,D) collapsed.
% Rule
% [67]
% divide(divide(A,V_5),divide(divide(D,C),V_5)) <->
% divide(divide(A,divide(B,C)),divide(divide(D,V_4),divide(B,V_4))) collapsed.
% Rule
% [70]
% inverse(divide(divide(divide(A,B),C),divide(divide(divide(D,V_4),divide(B,V_4)),C)))
% <-> divide(D,A) collapsed.
% Rule
% [73]
% divide(divide(A,V_5),divide(divide(divide(D,C),V_4),V_5)) <->
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B) collapsed.
% Rule
% [81]
% divide(divide(divide(inverse(divide(C,D)),divide(D,C)),V_4),divide(divide(B,A),V_4))
% -> divide(A,B) collapsed.
% Rule
% [86]
% divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(divide(D,V_4),C))
% -> divide(V_4,D) collapsed.
% Rule [91] divide(divide(A,B),divide(divide(inverse(C),inverse(A)),B)) -> C
% collapsed.
% Rule [92] divide(divide(inverse(A),B),divide(divide(inverse(C),A),B)) -> C
% collapsed.
% Rule [93] inverse(divide(divide(A,B),divide(divide(C,inverse(A)),B))) -> C
% collapsed.
% Rule [94] inverse(divide(divide(inverse(A),B),divide(divide(C,A),B))) -> C
% collapsed.
% Rule
% [99]
% divide(A,inverse(divide(divide(inverse(A),B),divide(divide(C,D),B)))) ->
% divide(D,C) collapsed.
% Rule
% [100]
% divide(inverse(A),inverse(divide(divide(A,B),divide(divide(C,D),B)))) ->
% divide(D,C) collapsed.
% Rule
% [112]
% inverse(divide(divide(A,B),divide(divide(C,D),B))) <->
% divide(inverse(divide(D,C)),A) collapsed.
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [115] divide(A,inverse(divide(inverse(A),inverse(C)))) -> C
% Current number of equations to process: 1097
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [116] divide(inverse(A),inverse(divide(A,inverse(C)))) -> C
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [117] inverse(divide(inverse(A),inverse(divide(A,C)))) -> C
% Current number of equations to process: 1095
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [118] inverse(divide(A,inverse(divide(inverse(A),C)))) -> C
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [119] inverse(divide(divide(B,C),inverse(divide(divide(C,B),A)))) -> A
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [120] divide(divide(A,B),inverse(divide(divide(B,A),inverse(D)))) -> D
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [121] divide(A,inverse(divide(divide(D,C),inverse(divide(C,D))))) -> A
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [122] divide(A,inverse(divide(inverse(divide(D,C)),divide(C,D)))) -> A
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [123]
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(A,B))) ->
% divide(A,B)
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [124]
% inverse(divide(divide(divide(B,C),D),divide(A,D))) <-> divide(A,divide(B,C))
% Current number of equations to process: 1092
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [3]
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) <->
% divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)) is composed into 
% [3]
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) <->
% inverse(divide(divide(divide(B,A),c3),divide(inverse(divide(divide(divide(A,B),
% divide(C,D)),V_4)),c3)))
% New rule produced :
% [125]
% divide(A,divide(B,C)) <-> inverse(divide(divide(divide(B,C),D),divide(A,D)))
% Rule
% [2]
% divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) -> D
% collapsed.
% Rule
% [4]
% divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)) <->
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) collapsed.
% Rule
% [10]
% divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)) <->
% divide(inverse(divide(divide(divide(V_4,V_5),C),D)),divide(V_5,V_4))
% collapsed.
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [126]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% divide(
% divide(A,B),C),
% divide(D,C)))))))
% -> D
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [127] divide(divide(A,B),divide(A,B)) <-> divide(divide(C,D),divide(C,D))
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [128] divide(A,A) <-> divide(inverse(divide(B,C)),divide(C,B))
% Rule
% [43]
% divide(divide(A,B),divide(A,B)) <-> divide(inverse(divide(C,D)),divide(D,C))
% collapsed.
% Rule
% [52]
% divide(inverse(divide(A,B)),inverse(divide(A,B))) <->
% divide(inverse(divide(C,D)),divide(D,C)) collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [129] divide(divide(divide(A,B),divide(A,B)),C) -> inverse(C)
% Rule
% [77]
% divide(A,divide(divide(B,C),divide(divide(divide(c3,c3),divide(c3,c3)),A)))
% -> divide(C,B) collapsed.
% Rule
% [103]
% divide(divide(divide(divide(A,B),divide(A,B)),C),divide(inverse(D),C)) -> D
% collapsed.
% Rule [104] inverse(divide(divide(divide(A,B),divide(A,B)),C)) -> C collapsed.
% Rule
% [105]
% inverse(divide(divide(divide(divide(A,B),divide(A,B)),C),divide(D,C))) -> D
% collapsed.
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [130] divide(inverse(C),divide(inverse(D),C)) -> D
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [131] inverse(divide(inverse(C),divide(D,C))) -> D
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [132] divide(A,divide(divide(B,C),inverse(A))) -> divide(C,B)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [133] divide(A,A) <-> divide(divide(B,C),divide(B,C))
% Rule
% [127] divide(divide(A,B),divide(A,B)) <-> divide(divide(C,D),divide(C,D))
% collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 1
% Current number of rules: 70
% Rule [133] divide(A,A) <-> divide(divide(B,C),divide(B,C)) is composed into 
% [133] divide(A,A) <-> divide(c3,c3)
% Rule [47]
% divide(divide(C,D),inverse(divide(D,C))) <->
% divide(divide(A,B),divide(A,B)) is composed into [47]
% divide(divide(C,D),
% inverse(divide(D,C)))
% <-> divide(A,A)
% Rule [44]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% divide(divide(A,B),divide(A,B)) is composed into [44]
% divide(inverse(
% divide(C,D)),
% divide(D,C)) <->
% divide(A,A)
% New rule produced : [134] divide(divide(B,C),divide(B,C)) <-> divide(A,A)
% Rule [129] divide(divide(divide(A,B),divide(A,B)),C) -> inverse(C) collapsed.
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [135] divide(divide(A,A),C) -> inverse(C)
% Rule [84] divide(divide(A,A),inverse(D)) -> D collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [53]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% divide(inverse(divide(A,B)),inverse(divide(A,B))) is composed into 
% [53] divide(inverse(divide(C,D)),divide(D,C)) <-> divide(B,B)
% Rule [33]
% divide(divide(C,D),inverse(divide(D,C))) <->
% divide(inverse(divide(A,B)),inverse(divide(A,B))) is composed into 
% [33] divide(divide(C,D),inverse(divide(D,C))) <-> divide(B,B)
% New rule produced : [136] divide(A,A) <-> divide(B,B)
% Rule [133] divide(A,A) <-> divide(c3,c3) collapsed.
% Rule [134] divide(divide(B,C),divide(B,C)) <-> divide(A,A) collapsed.
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [137] divide(divide(A,divide(c3,c3)),divide(B,B)) -> A
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced : [138] divide(divide(A,divide(B,B)),divide(c3,c3)) -> A
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [139]
% inverse(divide(A,divide(B,C))) <->
% divide(divide(inverse(divide(C,B)),D),divide(A,D))
% Current number of equations to process: 1114
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [140]
% divide(divide(inverse(divide(C,B)),D),divide(A,D)) <->
% inverse(divide(A,divide(B,C)))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 73
% Rule [125]
% divide(A,divide(B,C)) <->
% inverse(divide(divide(divide(B,C),D),divide(A,D))) is composed into 
% [125]
% divide(A,divide(B,C)) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(C,B)),A))))
% Rule [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(divide(divide(D,divide(C,B)),V_4),divide(A,V_4))) is composed into 
% [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(divide(C,B),D)),A))))
% New rule produced :
% [141]
% inverse(divide(divide(divide(C,B),V_4),divide(D,V_4))) <->
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D))))
% Rule
% [3]
% inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) <->
% inverse(divide(divide(divide(B,A),c3),divide(inverse(divide(divide(divide(A,B),
% divide(C,D)),V_4)),c3)))
% collapsed.
% Rule
% [101]
% divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))) ->
% inverse(D) collapsed.
% Rule
% [106]
% inverse(divide(divide(divide(D,divide(C,B)),V_4),divide(A,V_4))) <->
% divide(divide(A,divide(B,C)),D) collapsed.
% Rule
% [111]
% inverse(divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(D,C)))
% -> D collapsed.
% Rule
% [124]
% inverse(divide(divide(divide(B,C),D),divide(A,D))) <-> divide(A,divide(B,C))
% collapsed.
% Rule
% [126]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% divide(
% divide(A,B),C),
% divide(D,C)))))))
% -> D collapsed.
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [142]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% inverse(A),
% inverse(
% divide(
% divide(A,
% divide(B,A)),D))))))))
% -> D
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [143]
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D)))) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D))))
% Current number of equations to process: 1116
% Current number of ordered equations: 3
% Current number of rules: 70
% New rule produced :
% [144]
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D)))) <->
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D))))
% Current number of equations to process: 1116
% Current number of ordered equations: 2
% Current number of rules: 71
% New rule produced :
% [145]
% inverse(divide(A,inverse(divide(divide(inverse(A),divide(B,C)),D)))) ->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D))))
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [146]
% divide(A,divide(B,inverse(divide(C,D)))) <->
% divide(divide(divide(A,inverse(divide(D,C))),V_4),divide(B,V_4))
% Current number of equations to process: 1114
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [147]
% divide(A,inverse(divide(inverse(divide(C,B)),D))) <->
% divide(divide(A,inverse(divide(B,C))),D)
% Current number of equations to process: 1114
% Current number of ordered equations: 2
% Current number of rules: 74
% Rule [58]
% divide(A,divide(B,inverse(A))) <->
% divide(divide(divide(divide(C,D),inverse(divide(D,C))),V_4),divide(B,V_4)) is composed into 
% [58]
% divide(A,divide(B,inverse(A))) <->
% divide(divide(divide(C,D),inverse(divide(inverse(divide(C,D)),V_4))),
% divide(B,V_4))
% New rule produced :
% [148]
% divide(divide(A,inverse(divide(B,C))),D) <->
% divide(A,inverse(divide(inverse(divide(C,B)),D)))
% Rule [29] divide(divide(divide(A,B),inverse(divide(B,A))),inverse(C)) -> C
% collapsed.
% Rule
% [60]
% divide(divide(divide(divide(C,D),inverse(divide(D,C))),V_4),divide(B,V_4))
% <-> divide(A,divide(B,inverse(A))) collapsed.
% Rule
% [108]
% divide(divide(divide(divide(A,B),inverse(divide(B,A))),C),divide(inverse(D),C))
% -> D collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [149]
% divide(divide(divide(A,inverse(divide(D,C))),V_4),divide(B,V_4)) <->
% divide(A,divide(B,inverse(divide(C,D))))
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [150] inverse(divide(V_4,divide(D,C))) <-> divide(inverse(divide(C,D)),V_4)
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [151] divide(inverse(divide(C,D)),V_4) <-> inverse(divide(V_4,divide(D,C)))
% Rule [96] divide(inverse(divide(divide(A,B),divide(C,B))),inverse(A)) -> C
% collapsed.
% Rule [97] divide(inverse(divide(divide(inverse(A),B),divide(C,B))),A) -> C
% collapsed.
% Rule
% [98]
% divide(inverse(divide(inverse(divide(A,B)),C)),inverse(divide(B,A))) -> C
% collapsed.
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [152] inverse(divide(A,divide(divide(C,B),divide(inverse(A),B)))) -> C
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [153] inverse(divide(inverse(A),divide(divide(C,B),divide(A,B)))) -> C
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [154] divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),C) -> B
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [155] divide(inverse(divide(A,divide(B,C))),divide(inverse(C),A)) -> B
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [156] inverse(divide(A,divide(divide(B,divide(inverse(C),A)),C))) -> B
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [157]
% divide(divide(C,D),inverse(divide(divide(divide(D,C),A),B))) ->
% divide(inverse(A),B)
% Rule
% [11]
% divide(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(
% divide(
% divide(D,C),V_4),A)))),V_4)
% -> B collapsed.
% Rule
% [12]
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,V_4),inverse(divide(
% divide(
% divide(V_4,D),C),A))))
% -> B collapsed.
% Rule
% [13]
% inverse(divide(A,divide(divide(B,divide(divide(C,D),inverse(divide(divide(
% divide(D,C),V_4),A)))),V_4)))
% -> B collapsed.
% Rule
% [17]
% divide(divide(A,B),inverse(divide(divide(divide(B,A),C),D))) <->
% divide(divide(V_4,V_5),inverse(divide(divide(divide(V_5,V_4),C),D)))
% collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [158] inverse(divide(A,B)) <-> divide(divide(B,C),divide(A,C))
% Current number of equations to process: 1138
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [159] divide(divide(B,C),divide(A,C)) <-> inverse(divide(A,B))
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [160] divide(divide(A,B),divide(c3,c3)) <-> divide(divide(A,C),divide(B,C))
% Rule [138] divide(divide(A,divide(B,B)),divide(c3,c3)) -> A collapsed.
% Current number of equations to process: 1137
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [161] divide(divide(A,C),divide(B,C)) <-> divide(divide(A,B),divide(c3,c3))
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [162]
% inverse(divide(divide(C,divide(D,D)),inverse(divide(A,B)))) <->
% divide(inverse(divide(A,B)),C)
% Current number of equations to process: 1136
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [163]
% divide(inverse(divide(A,B)),C) <->
% inverse(divide(divide(C,divide(D,D)),inverse(divide(A,B))))
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [164]
% divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) -> B
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [165]
% divide(A,divide(divide(inverse(B),divide(inverse(divide(C,D)),A)),inverse(
% divide(D,C))))
% -> B
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [166]
% inverse(divide(divide(inverse(C),V_4),divide(D,V_4))) ->
% inverse(divide(inverse(C),D))
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [167]
% inverse(divide(A,inverse(divide(divide(inverse(A),B),C)))) ->
% inverse(divide(inverse(B),C))
% Rule
% [145]
% inverse(divide(A,inverse(divide(divide(inverse(A),divide(B,C)),D)))) ->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D))))
% collapsed.
% Current number of equations to process: 1134
% Current number of ordered equations: 1
% Current number of rules: 82
% Rule [143]
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D)))) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D)))) is composed into 
% [143]
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D)))) ->
% inverse(divide(inverse(divide(B,C)),D))
% Rule [125]
% divide(A,divide(B,C)) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(C,B)),A)))) is composed into 
% [125] divide(A,divide(B,C)) <-> inverse(divide(inverse(divide(C,B)),A))
% Rule [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(divide(C,B),D)),A)))) is composed into 
% [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(inverse(divide(divide(C,B),D)),A))
% New rule produced :
% [168]
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D)))) ->
% inverse(divide(inverse(divide(B,C)),D))
% Rule
% [144]
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D)))) <->
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D))))
% collapsed.
% Current number of equations to process: 1133
% Current number of ordered equations: 1
% Current number of rules: 82
% Rule [141]
% inverse(divide(divide(divide(C,B),V_4),divide(D,V_4))) <->
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D)))) is composed into 
% [141]
% inverse(divide(divide(divide(C,B),V_4),divide(D,V_4))) ->
% inverse(divide(inverse(divide(B,C)),D))
% New rule produced :
% [169]
% inverse(divide(inverse(A),inverse(divide(divide(A,B),C)))) ->
% inverse(divide(inverse(B),C))
% Rule
% [142]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% inverse(A),
% inverse(
% divide(
% divide(A,
% divide(B,A)),D))))))))
% -> D collapsed.
% Rule
% [143]
% inverse(divide(inverse(A),inverse(divide(divide(A,divide(B,C)),D)))) ->
% inverse(divide(inverse(divide(B,C)),D)) collapsed.
% Rule
% [168]
% inverse(divide(inverse(c3),inverse(divide(divide(c3,divide(B,C)),D)))) ->
% inverse(divide(inverse(divide(B,C)),D)) collapsed.
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [170]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% inverse(
% divide(B,A)),D))))))
% -> D
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [171]
% divide(A,inverse(divide(divide(inverse(A),B),C))) -> divide(inverse(B),C)
% Rule
% [167]
% inverse(divide(A,inverse(divide(divide(inverse(A),B),C)))) ->
% inverse(divide(inverse(B),C)) collapsed.
% Current number of equations to process: 1131
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [172]
% divide(inverse(A),inverse(divide(divide(A,B),C))) -> divide(inverse(B),C)
% Rule
% [169]
% inverse(divide(inverse(A),inverse(divide(divide(A,B),C)))) ->
% inverse(divide(inverse(B),C)) collapsed.
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [173]
% inverse(divide(divide(A,B),inverse(divide(V_4,D)))) <->
% divide(divide(inverse(divide(V_4,D)),inverse(B)),A)
% Current number of equations to process: 1130
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [174]
% divide(divide(inverse(divide(V_4,D)),inverse(B)),A) <->
% inverse(divide(divide(A,B),inverse(divide(V_4,D))))
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [175]
% divide(divide(divide(A,B),inverse(divide(inverse(divide(A,B)),C))),divide(
% inverse(D),C))
% -> D
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [176]
% inverse(divide(divide(divide(B,C),c3),inverse(divide(c3,inverse(divide(
% divide(C,B),A))))))
% -> A
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [177]
% inverse(divide(divide(divide(A,B),inverse(divide(inverse(divide(A,B)),C))),
% divide(D,C))) -> D
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 86
% Rule [71]
% divide(D,A) <->
% inverse(divide(divide(A,B),inverse(divide(divide(B,V_4),divide(D,V_4))))) is composed into 
% [71] divide(D,A) <-> inverse(divide(divide(A,B),inverse(divide(B,D))))
% New rule produced :
% [178] inverse(divide(divide(A,B),divide(C,B))) -> inverse(divide(A,C))
% Rule
% [141]
% inverse(divide(divide(divide(C,B),V_4),divide(D,V_4))) ->
% inverse(divide(inverse(divide(B,C)),D)) collapsed.
% Rule
% [166]
% inverse(divide(divide(inverse(C),V_4),divide(D,V_4))) ->
% inverse(divide(inverse(C),D)) collapsed.
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [58]
% divide(A,divide(B,inverse(A))) <->
% divide(divide(divide(C,D),inverse(divide(inverse(divide(C,D)),V_4))),
% divide(B,V_4)) is composed into [58]
% divide(A,divide(B,inverse(A))) <->
% divide(inverse(V_4),divide(B,V_4))
% New rule produced :
% [179]
% divide(divide(A,B),inverse(divide(inverse(divide(A,B)),D))) -> inverse(D)
% Rule
% [175]
% divide(divide(divide(A,B),inverse(divide(inverse(divide(A,B)),C))),divide(
% inverse(D),C))
% -> D collapsed.
% Rule
% [177]
% inverse(divide(divide(divide(A,B),inverse(divide(inverse(divide(A,B)),C))),
% divide(D,C))) -> D collapsed.
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [180]
% inverse(divide(divide(D,inverse(C)),inverse(divide(A,B)))) <->
% divide(divide(inverse(divide(A,B)),C),D)
% Current number of equations to process: 1122
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [181]
% inverse(divide(divide(D,divide(C,B)),inverse(A))) <->
% divide(divide(inverse(A),divide(B,C)),D)
% Current number of equations to process: 1122
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [182]
% divide(divide(inverse(divide(A,B)),C),D) <->
% inverse(divide(divide(D,inverse(C)),inverse(divide(A,B))))
% Current number of equations to process: 1122
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [183]
% divide(divide(inverse(A),divide(B,C)),D) <->
% inverse(divide(divide(D,divide(C,B)),inverse(A)))
% Rule
% [19]
% divide(divide(inverse(divide(A,B)),divide(C,D)),V_4) <->
% inverse(divide(divide(V_4,divide(D,C)),inverse(divide(A,B)))) collapsed.
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [184]
% divide(divide(A,B),divide(C,C)) <-> divide(inverse(D),divide(divide(B,A),D))
% Current number of equations to process: 1124
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [185]
% divide(inverse(D),divide(divide(B,A),D)) <-> divide(divide(A,B),divide(C,C))
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [186]
% divide(divide(A,B),C) <->
% divide(inverse(D),divide(divide(C,inverse(divide(B,A))),D))
% Current number of equations to process: 1124
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [187]
% divide(inverse(D),divide(divide(C,inverse(divide(B,A))),D)) <->
% divide(divide(A,B),C)
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [185]
% divide(inverse(D),divide(divide(B,A),D)) <->
% divide(divide(A,B),divide(C,C)) is composed into [185]
% divide(inverse(D),
% divide(divide(B,A),D))
% -> divide(A,B)
% Rule [163]
% divide(inverse(divide(A,B)),C) <->
% inverse(divide(divide(C,divide(D,D)),inverse(divide(A,B)))) is composed into 
% [163]
% divide(inverse(divide(A,B)),C) <-> inverse(divide(C,inverse(divide(A,B))))
% Rule [161]
% divide(divide(A,C),divide(B,C)) <-> divide(divide(A,B),divide(c3,c3)) is composed into 
% [161] divide(divide(A,C),divide(B,C)) -> divide(A,B)
% New rule produced : [188] divide(A,divide(B,B)) -> A
% Rule [89] divide(inverse(A),divide(B,B)) -> inverse(A) collapsed.
% Rule [137] divide(divide(A,divide(c3,c3)),divide(B,B)) -> A collapsed.
% Rule
% [160] divide(divide(A,B),divide(c3,c3)) <-> divide(divide(A,C),divide(B,C))
% collapsed.
% Rule
% [162]
% inverse(divide(divide(C,divide(D,D)),inverse(divide(A,B)))) <->
% divide(inverse(divide(A,B)),C) collapsed.
% Rule
% [184]
% divide(divide(A,B),divide(C,C)) <-> divide(inverse(D),divide(divide(B,A),D))
% collapsed.
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [189]
% divide(divide(inverse(A),divide(B,A)),divide(C,divide(B,inverse(D)))) <->
% divide(D,C)
% Current number of equations to process: 1122
% Current number of ordered equations: 2
% Current number of rules: 88
% New rule produced :
% [190]
% divide(D,C) <->
% divide(divide(inverse(A),divide(B,A)),divide(C,divide(B,inverse(D))))
% Rule
% [75]
% divide(divide(A,divide(divide(inverse(B),divide(C,D)),V_4)),B) ->
% divide(A,inverse(divide(V_4,divide(D,C)))) collapsed.
% Rule
% [78]
% inverse(divide(inverse(A),divide(divide(B,divide(divide(C,D),inverse(A))),
% inverse(divide(C,D))))) -> B collapsed.
% Rule
% [79]
% divide(divide(inverse(divide(inverse(A),B)),divide(divide(C,D),inverse(A))),
% inverse(divide(C,D))) -> B collapsed.
% Rule
% [85]
% divide(divide(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),V_4)),V_4)
% -> divide(A,B) collapsed.
% Rule [154] divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),C) -> B
% collapsed.
% Rule
% [165]
% divide(A,divide(divide(inverse(B),divide(inverse(divide(C,D)),A)),inverse(
% divide(D,C))))
% -> B collapsed.
% Current number of equations to process: 1128
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [191]
% divide(divide(A,divide(B,inverse(C))),divide(inverse(D),divide(B,D))) ->
% divide(A,C)
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [192] divide(B,divide(A,inverse(B))) -> inverse(A)
% Rule
% [58] divide(A,divide(B,inverse(A))) <-> divide(inverse(V_4),divide(B,V_4))
% collapsed.
% Rule [62] divide(A,divide(inverse(B),inverse(A))) -> B collapsed.
% Rule [132] divide(A,divide(divide(B,C),inverse(A))) -> divide(C,B) collapsed.
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [190]
% divide(D,C) <->
% divide(divide(inverse(A),divide(B,A)),divide(C,divide(B,inverse(D)))) is composed into 
% [190] divide(D,C) <-> divide(inverse(B),divide(C,divide(B,inverse(D))))
% Rule [186]
% divide(divide(A,B),C) <->
% divide(inverse(D),divide(divide(C,inverse(divide(B,A))),D)) is composed into 
% [186] divide(divide(A,B),C) <-> inverse(divide(C,inverse(divide(B,A))))
% New rule produced : [193] divide(inverse(V_4),divide(B,V_4)) -> inverse(B)
% Rule [130] divide(inverse(C),divide(inverse(D),C)) -> D collapsed.
% Rule [131] inverse(divide(inverse(C),divide(D,C))) -> D collapsed.
% Rule [185] divide(inverse(D),divide(divide(B,A),D)) -> divide(A,B) collapsed.
% Rule
% [187]
% divide(inverse(D),divide(divide(C,inverse(divide(B,A))),D)) <->
% divide(divide(A,B),C) collapsed.
% Rule
% [189]
% divide(divide(inverse(A),divide(B,A)),divide(C,divide(B,inverse(D)))) <->
% divide(D,C) collapsed.
% Rule
% [191]
% divide(divide(A,divide(B,inverse(C))),divide(inverse(D),divide(B,D))) ->
% divide(A,C) collapsed.
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [194] divide(A,divide(B,C)) <-> divide(divide(A,inverse(C)),B)
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [195] divide(divide(A,inverse(C)),B) <-> divide(A,divide(B,C))
% Rule [59] divide(divide(A,inverse(B)),B) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% divide(a3,divide(inverse(c3),b3)) = divide(a3,inverse(divide(b3,inverse(c3))))
% 
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [194] divide(A,divide(B,C)) <-> divide(divide(A,inverse(C)),B) is composed into 
% [194]
% divide(A,divide(B,C)) <-> divide(A,inverse(divide(inverse(inverse(C)),B)))
% Rule [158] inverse(divide(A,B)) <-> divide(divide(B,C),divide(A,C)) is composed into 
% [158]
% inverse(divide(A,B)) <-> divide(B,inverse(divide(inverse(C),divide(A,C))))
% Rule [147]
% divide(A,inverse(divide(inverse(divide(C,B)),D))) <->
% divide(divide(A,inverse(divide(B,C))),D) is composed into [147]
% divide(A,
% inverse(
% divide(
% inverse(
% divide(C,B)),D)))
% <->
% divide(A,
% inverse(
% divide(
% inverse(
% inverse(
% divide(B,C))),D)))
% Rule [146]
% divide(A,divide(B,inverse(divide(C,D)))) <->
% divide(divide(divide(A,inverse(divide(D,C))),V_4),divide(B,V_4)) is composed into 
% [146]
% divide(A,divide(B,inverse(divide(C,D)))) <->
% divide(A,inverse(divide(inverse(inverse(divide(inverse(inverse(divide(D,C))),V_4))),
% divide(B,V_4))))
% Rule [139]
% inverse(divide(A,divide(B,C))) <->
% divide(divide(inverse(divide(C,B)),D),divide(A,D)) is composed into 
% [139]
% inverse(divide(A,divide(B,C))) <->
% divide(inverse(divide(C,B)),inverse(divide(inverse(D),divide(A,D))))
% Rule [110]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% inverse(divide(divide(A,B),inverse(divide(B,A)))) is composed into 
% [110]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(B,A))))))
% Rule [71] divide(D,A) <-> inverse(divide(divide(A,B),inverse(divide(B,D)))) is composed into 
% [71]
% divide(D,A) <->
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(B,D))))))
% Rule [55] divide(A,A) <-> divide(divide(B,C),inverse(divide(C,B))) is composed into 
% [55]
% divide(A,A) <-> divide(B,inverse(divide(inverse(C),inverse(divide(C,B)))))
% New rule produced :
% [196] divide(divide(A,B),C) -> divide(A,inverse(divide(inverse(B),C)))
% Rule [23] divide(divide(A,B),divide(C,B)) <-> divide(divide(A,D),divide(C,D))
% collapsed.
% Rule [33] divide(divide(C,D),inverse(divide(D,C))) <-> divide(B,B) collapsed.
% Rule [40] divide(divide(A,inverse(divide(B,C))),inverse(divide(C,B))) -> A
% collapsed.
% Rule
% [41]
% divide(divide(A,B),inverse(divide(B,A))) <->
% divide(divide(C,D),inverse(divide(D,C))) collapsed.
% Rule [47] divide(divide(C,D),inverse(divide(D,C))) <-> divide(A,A) collapsed.
% Rule
% [66]
% divide(divide(divide(A,B),divide(C,B)),divide(D,divide(C,V_4))) <->
% divide(divide(divide(A,V_4),V_5),divide(D,V_5)) collapsed.
% Rule
% [68]
% divide(divide(A,divide(B,C)),divide(divide(D,V_4),divide(B,V_4))) ->
% divide(A,inverse(divide(C,D))) collapsed.
% Rule
% [69]
% divide(divide(divide(A,V_4),V_5),divide(D,V_5)) <->
% divide(divide(divide(A,B),divide(C,B)),divide(D,divide(C,V_4))) collapsed.
% Rule
% [72]
% divide(A,divide(B,divide(divide(inverse(A),divide(C,D)),V_4))) <->
% divide(divide(divide(divide(D,C),V_4),V_5),divide(B,V_5)) collapsed.
% Rule
% [74]
% divide(divide(divide(divide(D,C),V_4),V_5),divide(B,V_5)) <->
% divide(A,divide(B,divide(divide(inverse(A),divide(C,D)),V_4))) collapsed.
% Rule
% [76]
% divide(A,divide(divide(B,C),divide(divide(inverse(divide(D,V_4)),divide(V_4,D)),A)))
% -> divide(C,B) collapsed.
% Rule
% [80]
% divide(inverse(divide(inverse(A),divide(B,inverse(divide(C,D))))),divide(
% divide(C,D),
% inverse(A)))
% -> B collapsed.
% Rule [90] divide(A,divide(divide(B,C),inverse(divide(C,B)))) -> A collapsed.
% Rule [102] divide(divide(A,B),inverse(B)) -> A collapsed.
% Rule
% [107]
% divide(divide(A,divide(B,C)),D) <->
% inverse(divide(inverse(divide(divide(C,B),D)),A)) collapsed.
% Rule
% [109]
% inverse(divide(divide(A,B),inverse(divide(B,A)))) <->
% divide(inverse(divide(C,D)),divide(D,C)) collapsed.
% Rule
% [114]
% divide(divide(A,D),divide(divide(C,B),D)) -> divide(A,inverse(divide(B,C)))
% collapsed.
% Rule [119] inverse(divide(divide(B,C),inverse(divide(divide(C,B),A)))) -> A
% collapsed.
% Rule [120] divide(divide(A,B),inverse(divide(divide(B,A),inverse(D)))) -> D
% collapsed.
% Rule [121] divide(A,inverse(divide(divide(D,C),inverse(divide(C,D))))) -> A
% collapsed.
% Rule
% [123]
% divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(A,B))) ->
% divide(A,B) collapsed.
% Rule [135] divide(divide(A,A),C) -> inverse(C) collapsed.
% Rule
% [140]
% divide(divide(inverse(divide(C,B)),D),divide(A,D)) <->
% inverse(divide(A,divide(B,C))) collapsed.
% Rule
% [148]
% divide(divide(A,inverse(divide(B,C))),D) <->
% divide(A,inverse(divide(inverse(divide(C,B)),D))) collapsed.
% Rule
% [149]
% divide(divide(divide(A,inverse(divide(D,C))),V_4),divide(B,V_4)) <->
% divide(A,divide(B,inverse(divide(C,D)))) collapsed.
% Rule [152] inverse(divide(A,divide(divide(C,B),divide(inverse(A),B)))) -> C
% collapsed.
% Rule [153] inverse(divide(inverse(A),divide(divide(C,B),divide(A,B)))) -> C
% collapsed.
% Rule [156] inverse(divide(A,divide(divide(B,divide(inverse(C),A)),C))) -> B
% collapsed.
% Rule
% [157]
% divide(divide(C,D),inverse(divide(divide(divide(D,C),A),B))) ->
% divide(inverse(A),B) collapsed.
% Rule [159] divide(divide(B,C),divide(A,C)) <-> inverse(divide(A,B))
% collapsed.
% Rule [161] divide(divide(A,C),divide(B,C)) -> divide(A,B) collapsed.
% Rule
% [164]
% divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) -> B
% collapsed.
% Rule
% [170]
% inverse(divide(divide(divide(B,A),c3),inverse(divide(c3,inverse(divide(
% inverse(
% divide(B,A)),D))))))
% -> D collapsed.
% Rule
% [171]
% divide(A,inverse(divide(divide(inverse(A),B),C))) -> divide(inverse(B),C)
% collapsed.
% Rule
% [172]
% divide(inverse(A),inverse(divide(divide(A,B),C))) -> divide(inverse(B),C)
% collapsed.
% Rule
% [173]
% inverse(divide(divide(A,B),inverse(divide(V_4,D)))) <->
% divide(divide(inverse(divide(V_4,D)),inverse(B)),A) collapsed.
% Rule
% [174]
% divide(divide(inverse(divide(V_4,D)),inverse(B)),A) <->
% inverse(divide(divide(A,B),inverse(divide(V_4,D)))) collapsed.
% Rule
% [176]
% inverse(divide(divide(divide(B,C),c3),inverse(divide(c3,inverse(divide(
% divide(C,B),A))))))
% -> A collapsed.
% Rule [178] inverse(divide(divide(A,B),divide(C,B))) -> inverse(divide(A,C))
% collapsed.
% Rule
% [179]
% divide(divide(A,B),inverse(divide(inverse(divide(A,B)),D))) -> inverse(D)
% collapsed.
% Rule
% [180]
% inverse(divide(divide(D,inverse(C)),inverse(divide(A,B)))) <->
% divide(divide(inverse(divide(A,B)),C),D) collapsed.
% Rule
% [181]
% inverse(divide(divide(D,divide(C,B)),inverse(A))) <->
% divide(divide(inverse(A),divide(B,C)),D) collapsed.
% Rule
% [182]
% divide(divide(inverse(divide(A,B)),C),D) <->
% inverse(divide(divide(D,inverse(C)),inverse(divide(A,B)))) collapsed.
% Rule
% [183]
% divide(divide(inverse(A),divide(B,C)),D) <->
% inverse(divide(divide(D,divide(C,B)),inverse(A))) collapsed.
% Rule [186] divide(divide(A,B),C) <-> inverse(divide(C,inverse(divide(B,A))))
% collapsed.
% Rule [195] divide(divide(A,inverse(C)),B) <-> divide(A,divide(B,C))
% collapsed.
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [197]
% inverse(divide(B,inverse(divide(inverse(divide(c3,inverse(A))),inverse(
% divide(c3,
% inverse(
% divide(
% inverse(
% divide(B,A)),D))))))))
% -> D
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [198] divide(A,inverse(divide(inverse(A),C))) -> inverse(C)
% Rule [115] divide(A,inverse(divide(inverse(A),inverse(C)))) -> C collapsed.
% Rule [118] inverse(divide(A,inverse(divide(inverse(A),C)))) -> C collapsed.
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [199]
% inverse(divide(C,inverse(divide(B,A)))) <->
% divide(A,inverse(divide(inverse(B),C)))
% Current number of equations to process: 1146
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [200]
% divide(A,inverse(divide(inverse(B),C))) <->
% inverse(divide(C,inverse(divide(B,A))))
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [201]
% inverse(divide(A,divide(B,inverse(divide(inverse(c3),divide(C,divide(c3,
% divide(
% inverse(C),A))))))))
% -> B
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [202]
% divide(A,inverse(divide(inverse(B),inverse(divide(inverse(divide(A,B)),D)))))
% -> inverse(D)
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [203]
% divide(A,inverse(divide(inverse(divide(C,B)),D))) ->
% divide(A,inverse(divide(B,inverse(divide(inverse(C),D)))))
% Rule [122] divide(A,inverse(divide(inverse(divide(D,C)),divide(C,D)))) -> A
% collapsed.
% Rule
% [147]
% divide(A,inverse(divide(inverse(divide(C,B)),D))) <->
% divide(A,inverse(divide(inverse(inverse(divide(B,C))),D))) collapsed.
% Rule
% [197]
% inverse(divide(B,inverse(divide(inverse(divide(c3,inverse(A))),inverse(
% divide(c3,
% inverse(
% divide(
% inverse(
% divide(B,A)),D))))))))
% -> D collapsed.
% Rule
% [202]
% divide(A,inverse(divide(inverse(B),inverse(divide(inverse(divide(A,B)),D)))))
% -> inverse(D) collapsed.
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [204]
% inverse(divide(D,inverse(divide(B,inverse(divide(inverse(C),inverse(A)))))))
% <-> divide(inverse(A),inverse(divide(C,inverse(divide(inverse(B),D)))))
% Current number of equations to process: 1140
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [205]
% divide(inverse(A),inverse(divide(C,inverse(divide(inverse(B),D))))) <->
% inverse(divide(D,inverse(divide(B,inverse(divide(inverse(C),inverse(A)))))))
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [206]
% divide(A,inverse(divide(B,C))) <->
% divide(A,inverse(divide(inverse(D),divide(C,inverse(divide(inverse(B),D))))))
% Current number of equations to process: 1139
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [207]
% divide(A,inverse(divide(inverse(D),divide(C,inverse(divide(inverse(B),D))))))
% <-> divide(A,inverse(divide(B,C)))
% Current number of equations to process: 1139
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [208]
% divide(inverse(divide(C,D)),inverse(divide(C,inverse(divide(inverse(D),
% inverse(divide(A,B)))))))
% -> divide(A,B)
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [209]
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(V_4,D)))))) <->
% divide(inverse(divide(V_4,D)),inverse(divide(B,A)))
% Current number of equations to process: 1137
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [210]
% divide(inverse(divide(V_4,D)),inverse(divide(B,A))) <->
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(V_4,D))))))
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [211]
% divide(inverse(divide(A,divide(B,divide(C,D)))),divide(D,inverse(divide(
% inverse(C),A))))
% -> B
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [212]
% divide(inverse(divide(A,B)),inverse(divide(A,inverse(divide(inverse(B),C)))))
% -> inverse(C)
% Rule
% [208]
% divide(inverse(divide(C,D)),inverse(divide(C,inverse(divide(inverse(D),
% inverse(divide(A,B)))))))
% -> divide(A,B) collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [213] divide(C,B) <-> divide(inverse(A),inverse(divide(A,divide(B,C))))
% Current number of equations to process: 1137
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [214] divide(inverse(A),inverse(divide(A,divide(B,C)))) <-> divide(C,B)
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 44
% Rule [213] divide(C,B) <-> divide(inverse(A),inverse(divide(A,divide(B,C)))) is composed into 
% [213] divide(C,B) <-> inverse(divide(B,C))
% Rule [110]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(B,A)))))) is composed into 
% [110]
% divide(inverse(divide(C,D)),divide(D,C)) <->
% inverse(divide(A,inverse(inverse(A))))
% Rule [71]
% divide(D,A) <->
% inverse(divide(A,inverse(divide(inverse(B),inverse(divide(B,D)))))) is composed into 
% [71] divide(D,A) <-> inverse(divide(A,inverse(inverse(D))))
% Rule [55]
% divide(A,A) <->
% divide(B,inverse(divide(inverse(C),inverse(divide(C,B))))) is composed into 
% [55] divide(A,A) <-> divide(B,inverse(inverse(B)))
% New rule produced :
% [215] divide(inverse(A),inverse(divide(A,B))) -> inverse(B)
% Rule [116] divide(inverse(A),inverse(divide(A,inverse(C)))) -> C collapsed.
% Rule [117] inverse(divide(inverse(A),inverse(divide(A,C)))) -> C collapsed.
% Rule [214] divide(inverse(A),inverse(divide(A,divide(B,C)))) <-> divide(C,B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 42
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 29 rules have been used:
% [1] 
% multiply(A,B) -> divide(A,inverse(B)); trace = in the starting set
% [2] divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) ->
% D; trace = in the starting set
% [3] inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))) <->
% divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A)); trace = Self cp of 2
% [4] divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),divide(B,A))
% <-> inverse(divide(divide(divide(D,C),V_5),divide(V_4,V_5))); trace = Self cp of 2
% [5] divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),V_4)),
% divide(B,A)),divide(C,D)) -> V_4; trace = Cp of 3 and 2
% [6] inverse(divide(divide(divide(B,C),D),divide(divide(A,divide(C,B)),D))) ->
% A; trace = Cp of 4 and 2
% [7] divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),C) ->
% D; trace = Self cp of 5
% [8] inverse(divide(divide(divide(A,B),C),divide(D,C))) <->
% inverse(divide(divide(divide(A,B),V_4),divide(D,V_4))); trace = Cp of 6 and 2
% [9] inverse(divide(divide(A,B),divide(C,B))) <->
% inverse(divide(divide(A,D),divide(C,D))); trace = Cp of 8 and 2
% [12] divide(inverse(divide(A,divide(B,C))),divide(divide(D,V_4),inverse(
% divide(
% divide(
% divide(V_4,D),C),A))))
% -> B; trace = Cp of 7 and 2
% [15] divide(A,divide(divide(B,C),inverse(divide(divide(divide(C,B),D),
% divide(divide(V_4,V_5),D))))) ->
% divide(A,divide(V_5,V_4)); trace = Cp of 12 and 6
% [16] divide(divide(C,D),inverse(divide(divide(divide(D,C),V_4),divide(
% divide(B,A),V_4))))
% -> divide(A,B); trace = Cp of 15 and 7
% [18] inverse(divide(divide(divide(V_4,divide(D,C)),V_5),divide(divide(B,A),V_5)))
% <-> divide(divide(inverse(divide(A,B)),divide(C,D)),V_4); trace = Cp of 16 and 7
% [20] divide(divide(divide(inverse(divide(A,B)),divide(C,D)),V_4),divide(
% divide(D,C),V_4))
% -> divide(B,A); trace = Cp of 18 and 2
% [21] divide(divide(divide(A,B),C),divide(divide(inverse(divide(D,V_4)),
% divide(B,A)),C)) -> divide(D,V_4); trace = Cp of 18 and 16
% [23] divide(divide(A,B),divide(C,B)) <-> divide(divide(A,D),divide(C,D)); trace = Cp of 20 and 9
% [24] inverse(divide(A,B)) <-> divide(B,A); trace = Cp of 20 and 18
% [25] divide(divide(inverse(divide(C,D)),divide(D,C)),inverse(divide(B,A)))
% <-> inverse(divide(A,B)); trace = Cp of 20 and 18
% [26] divide(divide(divide(A,B),C),divide(divide(inverse(D),divide(B,A)),C))
% -> D; trace = Cp of 21 and 2
% [28] divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(B,A)))) ->
% divide(D,C); trace = Cp of 25 and 20
% [29] divide(divide(divide(A,B),inverse(divide(B,A))),inverse(C)) -> C; trace = Cp of 26 and 25
% [30] divide(divide(divide(A,B),inverse(divide(C,D))),inverse(divide(D,C))) ->
% divide(A,B); trace = Cp of 26 and 25
% [38] divide(inverse(C),divide(divide(D,V_4),inverse(divide(V_4,D)))) <->
% divide(inverse(divide(A,B)),divide(C,inverse(divide(B,A)))); trace = Cp of 29 and 28
% [40] divide(divide(A,inverse(divide(B,C))),inverse(divide(C,B))) -> A; trace = Cp of 30 and 2
% [59] divide(divide(A,inverse(B)),B) -> A; trace = Cp of 29 and 23
% [88] inverse(inverse(C)) -> C; trace = Cp of 38 and 24
% [116] divide(inverse(A),inverse(divide(A,inverse(C)))) -> C; trace = Cp of 40 and 26
% [195] divide(divide(A,inverse(C)),B) <-> divide(A,divide(B,C)); trace = Cp of 59 and 23
% [215] divide(inverse(A),inverse(divide(A,B))) -> inverse(B); trace = Cp of 116 and 88
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 2.440000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------