%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP468-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n138.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 00:23:14 EDT 2014
% Result : Unsatisfiable 3.64s
% Output : Refutation 3.64s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP468-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n138.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 14:02:43 CDT 2014
% % CPUTime : 3.64
% Processing problem /tmp/CiME_41412_n138.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(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C;
% 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(divide(A,A),divide(B,divide(divide(C,
% divide(D,B)),
% inverse(D)))) = C,
% 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(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,
% inverse(D))))
% <-> divide(V_4,V_4)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [4] divide(c3,c3) <-> divide(V_4,V_4)
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced : [5] divide(V_4,V_4) <-> divide(c3,c3)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% divide(divide(A,A),divide(c3,divide(divide(B,divide(C,C)),inverse(c3)))) -> B
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% divide(C,B) <->
% divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C))))
% Rule
% [3]
% divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,
% inverse(D))))
% <-> divide(V_4,V_4) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(inverse(c3),divide(divide(c3,c3),inverse(
% divide(a3,
% inverse(b3)))))) =
% divide(a3,inverse(divide(b3,inverse(c3))))
%
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [8]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C)))) <->
% divide(C,B)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% divide(divide(A,A),divide(B,divide(divide(C,divide(c3,c3)),inverse(B)))) -> C
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% divide(divide(A,A),divide(B,divide(divide(C,C),inverse(D)))) <-> divide(D,B)
% Rule
% [8]
% divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C)))) <->
% divide(C,B) collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% divide(divide(A,A),divide(B,divide(divide(C,divide(D,D)),inverse(B)))) -> C
% Rule
% [6]
% divide(divide(A,A),divide(c3,divide(divide(B,divide(C,C)),inverse(c3)))) -> B
% collapsed.
% Rule
% [9]
% divide(divide(A,A),divide(B,divide(divide(C,divide(c3,c3)),inverse(B)))) -> C
% collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [12]
% divide(divide(A,A),divide(c3,c3)) <->
% divide(B,divide(divide(C,C),inverse(B)))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [13]
% divide(B,divide(divide(C,C),inverse(B))) <->
% divide(divide(A,A),divide(c3,c3))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [14] divide(A,A) <-> divide(B,B)
% Rule [4] divide(c3,c3) <-> divide(V_4,V_4) collapsed.
% Rule [5] divide(V_4,V_4) <-> divide(c3,c3) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [15] divide(C,C) <-> divide(divide(A,A),divide(divide(B,B),divide(c3,c3)))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [15]
% divide(C,C) <-> divide(divide(A,A),divide(divide(B,B),divide(c3,c3))) is composed into
% [15] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [16] divide(divide(A,A),divide(divide(B,B),divide(c3,c3))) <-> divide(C,C)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [17] divide(C,C) <-> divide(A,divide(divide(B,B),inverse(A)))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 11
% Rule [17] divide(C,C) <-> divide(A,divide(divide(B,B),inverse(A))) is composed into
% [17] divide(C,C) <-> divide(c3,c3)
% Rule [12]
% divide(divide(A,A),divide(c3,c3)) <->
% divide(B,divide(divide(C,C),inverse(B))) is composed into [12]
% divide(
% divide(A,A),
% divide(c3,c3))
% <->
% divide(C,C)
% New rule produced :
% [18] divide(A,divide(divide(B,B),inverse(A))) <-> divide(C,C)
% Rule
% [13]
% divide(B,divide(divide(C,C),inverse(B))) <->
% divide(divide(A,A),divide(c3,c3)) collapsed.
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [19] divide(C,C) <-> divide(divide(A,A),divide(B,B))
% Current number of equations to process: 34
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [19] divide(C,C) <-> divide(divide(A,A),divide(B,B)) is composed into
% [19] divide(C,C) <-> divide(c3,c3)
% New rule produced : [20] divide(divide(A,A),divide(B,B)) <-> divide(C,C)
% Rule [12] divide(divide(A,A),divide(c3,c3)) <-> divide(C,C) collapsed.
% Rule
% [16] divide(divide(A,A),divide(divide(B,B),divide(c3,c3))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [21]
% divide(divide(A,A),divide(divide(B,B),divide(divide(c3,c3),inverse(divide(C,C)))))
% <-> divide(D,D)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [22]
% divide(divide(A,A),divide(divide(B,B),divide(divide(C,C),inverse(divide(D,D)))))
% <-> divide(V_4,V_4)
% Rule
% [21]
% divide(divide(A,A),divide(divide(B,B),divide(divide(c3,c3),inverse(divide(C,C)))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [23]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(B,inverse(c3)),
% divide(divide(c3,c3),inverse(
% divide(divide(B,
% divide(C,C)),
% inverse(c3)))))))
% <-> divide(D,D)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [24]
% divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(c3,c3),inverse(
% divide(C,C))))))
% <-> divide(D,D)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [25]
% divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(C,C),inverse(
% divide(D,D))))))
% <-> divide(V_4,V_4)
% Rule
% [24]
% divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(c3,c3),inverse(
% divide(C,C))))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [26]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,V_4)))))))
% <-> divide(D,B)
% Current number of equations to process: 45
% Current number of ordered equations: 3
% Current number of rules: 15
% New rule produced :
% [27]
% divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,C),inverse(D)),
% divide(divide(c3,c3),inverse(V_4)))))
% -> divide(D,V_4)
% Current number of equations to process: 45
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced :
% [28]
% divide(divide(A,A),divide(divide(B,divide(divide(C,C),inverse(D))),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,V_4)))))
% -> divide(D,B)
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [29]
% divide(D,B) <->
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,V_4)))))))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [30]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(V_4,V_4),
% inverse(
% divide(V_5,V_5)))))))
% <-> divide(D,B)
% Rule
% [26]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,V_4)))))))
% <-> divide(D,B) collapsed.
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [31]
% divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,C),inverse(D)),
% divide(divide(V_4,V_4),inverse(V_5)))))
% -> divide(D,V_5)
% Rule
% [27]
% divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,C),inverse(D)),
% divide(divide(c3,c3),inverse(V_4)))))
% -> divide(D,V_4) collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [32]
% divide(divide(A,A),divide(divide(B,divide(divide(C,C),inverse(D))),divide(
% divide(V_4,V_4),
% inverse(
% divide(V_5,V_5)))))
% -> divide(D,B)
% Rule
% [28]
% divide(divide(A,A),divide(divide(B,divide(divide(C,C),inverse(D))),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,V_4)))))
% -> divide(D,B) collapsed.
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [33]
% divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),
% divide(divide(V_4,C),inverse(divide(V_5,V_5))))) -> V_4
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [34]
% divide(divide(A,A),divide(divide(B,inverse(C)),divide(divide(D,D),inverse(
% divide(
% divide(B,
% divide(V_4,C)),
% inverse(V_4))))))
% <-> divide(V_5,V_5)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [35]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(D,B)),
% inverse(D))))) <->
% divide(V_4,V_4)
% Rule
% [34]
% divide(divide(A,A),divide(divide(B,inverse(C)),divide(divide(D,D),inverse(
% divide(
% divide(B,
% divide(V_4,C)),
% inverse(V_4))))))
% <-> divide(V_5,V_5) collapsed.
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [36]
% divide(V_4,V_4) <->
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(divide(
% divide(D,D),
% inverse(B)))))
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 21
% Rule [36]
% divide(V_4,V_4) <->
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(
% divide(
% divide(D,D),
% inverse(B))))) is composed into
% [36] divide(V_4,V_4) <-> divide(c3,c3)
% New rule produced :
% [37]
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(divide(
% divide(D,D),
% inverse(B)))))
% <-> divide(V_4,V_4)
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [38]
% divide(D,D) <->
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(c3,c3)),
% inverse(B)))))
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 23
% Rule [38]
% divide(D,D) <->
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(c3,c3)),
% inverse(B))))) is composed into
% [38] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [39]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(c3,c3)),
% inverse(B))))) <->
% divide(D,D)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [40]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(D,D)),
% inverse(B))))) <->
% divide(V_4,V_4)
% Rule
% [23]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(B,inverse(c3)),
% divide(divide(c3,c3),inverse(
% divide(divide(B,
% divide(C,C)),
% inverse(c3)))))))
% <-> divide(D,D) collapsed.
% Rule
% [39]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(c3,c3)),
% inverse(B))))) <->
% divide(D,D) collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [41]
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(B))) ->
% divide(c3,c3)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [42]
% divide(divide(A,A),divide(divide(c3,divide(divide(B,divide(C,C)),inverse(c3))),
% divide(divide(D,B),inverse(divide(V_4,V_4))))) -> D
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [43]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(B,divide(C,C)),
% inverse(divide(D,D))))) -> B
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [44]
% divide(divide(A,A),divide(divide(B,B),divide(divide(C,divide(D,D)),inverse(
% divide(V_4,V_4)))))
% -> C
% Rule
% [43]
% divide(divide(A,A),divide(divide(c3,c3),divide(divide(B,divide(C,C)),
% inverse(divide(D,D))))) -> B
% collapsed.
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [45]
% divide(divide(A,A),divide(c3,divide(divide(c3,c3),divide(inverse(c3),
% divide(divide(c3,c3),
% inverse(divide(B,divide(c3,c3))))))))
% -> B
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [46]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,
% divide(D,B))))))))
% -> V_4
% Rule
% [45]
% divide(divide(A,A),divide(c3,divide(divide(c3,c3),divide(inverse(c3),
% divide(divide(c3,c3),
% inverse(divide(B,divide(c3,c3))))))))
% -> B collapsed.
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [47]
% divide(divide(B,B),divide(divide(C,divide(divide(A,divide(D,C)),inverse(D))),
% divide(divide(c3,c3),inverse(divide(V_4,V_4))))) -> A
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [48]
% divide(divide(A,A),divide(divide(B,B),inverse(divide(C,C)))) <-> divide(D,D)
% Rule
% [22]
% divide(divide(A,A),divide(divide(B,B),divide(divide(C,C),inverse(divide(D,D)))))
% <-> divide(V_4,V_4) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [29]
% divide(D,B) <->
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),
% divide(divide(c3,c3),
% inverse(divide(V_4,V_4))))))) is composed into
% [29] divide(D,B) <-> divide(divide(A,A),divide(B,D))
% New rule produced :
% [49]
% divide(divide(A,A),divide(inverse(B),divide(divide(C,C),inverse(divide(D,D)))))
% -> B
% Rule
% [25]
% divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(C,C),inverse(
% divide(D,D))))))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [30]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(V_4,V_4),
% inverse(
% divide(V_5,V_5)))))))
% <-> divide(D,B) collapsed.
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [50]
% divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),
% divide(V_4,V_4))) -> C
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [51]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),
% inverse(divide(D,D))))) -> C
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [52] inverse(divide(A,A)) <-> divide(B,B)
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [53] divide(B,B) <-> inverse(divide(A,A))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [54]
% divide(divide(A,A),divide(divide(divide(B,B),inverse(divide(C,C))),divide(D,D)))
% <-> divide(V_4,V_4)
% Current number of equations to process: 315
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced :
% [55]
% divide(divide(A,A),divide(divide(B,B),divide(inverse(divide(C,C)),divide(D,D))))
% <-> divide(V_4,V_4)
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [56] divide(divide(A,A),divide(inverse(B),divide(C,C))) -> B
% Rule
% [55]
% divide(divide(A,A),divide(divide(B,B),divide(inverse(divide(C,C)),divide(D,D))))
% <-> divide(V_4,V_4) collapsed.
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [7]
% divide(C,B) <->
% divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C)))) is composed into
% [7] divide(C,B) <-> divide(divide(A,A),divide(B,C))
% New rule produced : [57] divide(divide(A,A),inverse(B)) -> B
% Rule
% [10]
% divide(divide(A,A),divide(B,divide(divide(C,C),inverse(D)))) <-> divide(D,B)
% collapsed.
% Rule [18] divide(A,divide(divide(B,B),inverse(A))) <-> divide(C,C) collapsed.
% Rule
% [31]
% divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,C),inverse(D)),
% divide(divide(V_4,V_4),inverse(V_5)))))
% -> divide(D,V_5) collapsed.
% Rule
% [32]
% divide(divide(A,A),divide(divide(B,divide(divide(C,C),inverse(D))),divide(
% divide(V_4,V_4),
% inverse(
% divide(V_5,V_5)))))
% -> divide(D,B) collapsed.
% Rule
% [35]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(D,B)),
% inverse(D))))) <->
% divide(V_4,V_4) collapsed.
% Rule
% [37]
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(divide(
% divide(D,D),
% inverse(B)))))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [40]
% divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(D,D)),
% inverse(B))))) <->
% divide(V_4,V_4) collapsed.
% Rule
% [41]
% divide(divide(divide(A,A),inverse(B)),divide(divide(C,C),inverse(B))) ->
% divide(c3,c3) collapsed.
% Rule
% [46]
% divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(
% divide(c3,c3),
% inverse(
% divide(V_4,
% divide(D,B))))))))
% -> V_4 collapsed.
% Rule
% [47]
% divide(divide(B,B),divide(divide(C,divide(divide(A,divide(D,C)),inverse(D))),
% divide(divide(c3,c3),inverse(divide(V_4,V_4))))) -> A
% collapsed.
% Rule
% [48]
% divide(divide(A,A),divide(divide(B,B),inverse(divide(C,C)))) <-> divide(D,D)
% collapsed.
% Rule
% [49]
% divide(divide(A,A),divide(inverse(B),divide(divide(C,C),inverse(divide(D,D)))))
% -> B collapsed.
% Rule
% [51]
% divide(divide(A,A),divide(divide(divide(B,B),C),divide(divide(c3,c3),
% inverse(divide(D,D))))) -> C
% collapsed.
% Rule
% [54]
% divide(divide(A,A),divide(divide(divide(B,B),inverse(divide(C,C))),divide(D,D)))
% <-> divide(V_4,V_4) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(inverse(c3),divide(a3,inverse(b3)))) = divide(a3,
% inverse(
% divide(b3,
% inverse(c3))))
%
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [58] divide(divide(A,A),divide(divide(B,B),divide(D,V_5))) -> divide(D,V_5)
% Rule
% [44]
% divide(divide(A,A),divide(divide(B,B),divide(divide(C,divide(D,D)),inverse(
% divide(V_4,V_4)))))
% -> C collapsed.
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [59] divide(divide(C,divide(D,D)),inverse(divide(V_4,V_4))) -> C
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [60] divide(divide(A,A),divide(divide(B,D),divide(V_5,V_5))) -> divide(D,B)
% Rule
% [50]
% divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),
% divide(V_4,V_4))) -> C collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [61] divide(C,divide(B,B)) -> C
% Rule
% [11]
% divide(divide(A,A),divide(B,divide(divide(C,divide(D,D)),inverse(B)))) -> C
% collapsed.
% Rule [20] divide(divide(A,A),divide(B,B)) <-> divide(C,C) collapsed.
% Rule
% [42]
% divide(divide(A,A),divide(divide(c3,divide(divide(B,divide(C,C)),inverse(c3))),
% divide(divide(D,B),inverse(divide(V_4,V_4))))) -> D
% collapsed.
% Rule [56] divide(divide(A,A),divide(inverse(B),divide(C,C))) -> B collapsed.
% Rule [59] divide(divide(C,divide(D,D)),inverse(divide(V_4,V_4))) -> C
% collapsed.
% Rule
% [60] divide(divide(A,A),divide(divide(B,D),divide(V_5,V_5))) -> divide(D,B)
% collapsed.
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [62] divide(C,inverse(divide(V_4,V_4))) -> C
% Rule
% [33]
% divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),
% divide(divide(V_4,C),inverse(divide(V_5,V_5))))) -> V_4
% collapsed.
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [63] divide(divide(A,A),divide(B,divide(C,inverse(B)))) -> C
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [64] inverse(inverse(divide(A,A))) <-> divide(B,B)
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced : [65] divide(B,B) <-> inverse(inverse(divide(A,A)))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [66] divide(inverse(divide(A,A)),inverse(B)) -> B
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [67]
% divide(divide(A,inverse(B)),divide(divide(A,divide(D,B)),inverse(D))) <->
% divide(V_4,V_4)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [68]
% divide(inverse(divide(A,A)),divide(B,divide(divide(C,divide(D,B)),inverse(D))))
% -> C
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [69]
% divide(inverse(divide(A,A)),divide(divide(B,B),divide(C,D))) -> divide(C,D)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [70] divide(divide(A,A),divide(divide(B,B),C)) -> C
% Rule
% [58] divide(divide(A,A),divide(divide(B,B),divide(D,V_5))) -> divide(D,V_5)
% collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [71]
% divide(C,divide(divide(B,divide(D,C)),inverse(D))) <-> divide(divide(A,A),B)
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [72]
% divide(divide(A,A),B) <-> divide(C,divide(divide(B,divide(D,C)),inverse(D)))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [73] divide(divide(A,B),inverse(B)) -> A
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 26
% Rule [71]
% divide(C,divide(divide(B,divide(D,C)),inverse(D))) <->
% divide(divide(A,A),B) is composed into [71]
% divide(C,divide(divide(B,
% divide(D,C)),
% inverse(D))) ->
% inverse(B)
% Rule [29] divide(D,B) <-> divide(divide(A,A),divide(B,D)) is composed into
% [29] divide(D,B) <-> inverse(divide(B,D))
% Rule [7] divide(C,B) <-> divide(divide(A,A),divide(B,C)) is composed into
% [7] divide(C,B) <-> inverse(divide(B,C))
% New rule produced : [74] divide(divide(A,A),B) -> inverse(B)
% Rule
% [2]
% divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) -> C
% collapsed.
% Rule [57] divide(divide(A,A),inverse(B)) -> B collapsed.
% Rule [63] divide(divide(A,A),divide(B,divide(C,inverse(B)))) -> C collapsed.
% Rule
% [69]
% divide(inverse(divide(A,A)),divide(divide(B,B),divide(C,D))) -> divide(C,D)
% collapsed.
% Rule [70] divide(divide(A,A),divide(divide(B,B),C)) -> C collapsed.
% Rule
% [72]
% divide(divide(A,A),B) <-> divide(C,divide(divide(B,divide(D,C)),inverse(D)))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% inverse(divide(inverse(c3),divide(a3,inverse(b3)))) = divide(a3,inverse(
% divide(b3,
% inverse(c3))))
%
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [75]
% inverse(divide(B,inverse(divide(inverse(D),divide(C,divide(D,B)))))) -> C
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 22
% Rule [65] divide(B,B) <-> inverse(inverse(divide(A,A))) is composed into
% [65] divide(B,B) <-> divide(A,A)
% New rule produced : [76] inverse(inverse(B)) -> B
% Rule [64] inverse(inverse(divide(A,A))) <-> divide(B,B) collapsed.
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [77] inverse(divide(B,divide(C,inverse(B)))) -> C
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [78]
% divide(C,inverse(divide(inverse(D),divide(B,divide(D,C))))) -> inverse(B)
% Rule
% [75]
% inverse(divide(B,inverse(divide(inverse(D),divide(C,divide(D,B)))))) -> C
% collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [79] divide(inverse(divide(A,A)),divide(B,divide(C,inverse(B)))) -> C
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [80] divide(C,C) <-> divide(inverse(A),divide(inverse(B),divide(A,B)))
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 25
% Rule [80] divide(C,C) <-> divide(inverse(A),divide(inverse(B),divide(A,B))) is composed into
% [80] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [81] divide(inverse(A),divide(inverse(B),divide(A,B))) <-> divide(C,C)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [82] inverse(divide(inverse(C),divide(V_4,C))) -> V_4
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [83]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,divide(C,B)))))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [83]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,divide(C,B))))) is composed into
% [83] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [84]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,divide(C,B)))))
% <-> divide(D,D)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [85]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,inverse(
% divide(B,C))))))
% Current number of equations to process: 320
% Current number of ordered equations: 5
% Current number of rules: 30
% New rule produced :
% [86]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% divide(C,B),A)))))
% Current number of equations to process: 320
% Current number of ordered equations: 4
% Current number of rules: 31
% New rule produced :
% [87]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% divide(C,A)))))
% Current number of equations to process: 320
% Current number of ordered equations: 3
% Current number of rules: 32
% Rule [85]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,inverse(
% divide(B,C)))))) is composed into
% [85] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [88]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,inverse(
% divide(B,C))))))
% <-> divide(D,D)
% Current number of equations to process: 320
% Current number of ordered equations: 2
% Current number of rules: 33
% Rule [86]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% divide(C,B),A))))) is composed into
% [86] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [89]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% divide(C,B),A)))))
% <-> divide(D,D)
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [87]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% divide(C,A))))) is composed into
% [87] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [90]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% divide(C,A)))))
% <-> divide(D,D)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [91] divide(C,B) <-> divide(inverse(divide(A,A)),divide(B,C))
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [92] divide(inverse(divide(A,A)),divide(B,C)) <-> divide(C,B)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [93] divide(A,divide(B,inverse(A))) -> inverse(B)
% Rule [77] inverse(divide(B,divide(C,inverse(B)))) -> C collapsed.
% Rule [79] divide(inverse(divide(A,A)),divide(B,divide(C,inverse(B)))) -> C
% collapsed.
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [94]
% divide(A,inverse(divide(inverse(B),inverse(divide(divide(B,A),C))))) ->
% inverse(C)
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [95]
% divide(A,inverse(divide(inverse(B),divide(C,inverse(divide(A,B)))))) ->
% inverse(C)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [96] inverse(divide(inverse(A),inverse(divide(A,B)))) -> B
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 39
% Rule [91] divide(C,B) <-> divide(inverse(divide(A,A)),divide(B,C)) is composed into
% [91] divide(C,B) <-> inverse(divide(B,C))
% New rule produced : [97] divide(inverse(divide(A,A)),B) -> inverse(B)
% Rule [66] divide(inverse(divide(A,A)),inverse(B)) -> B collapsed.
% Rule
% [68]
% divide(inverse(divide(A,A)),divide(B,divide(divide(C,divide(D,B)),inverse(D))))
% -> C collapsed.
% Rule [92] divide(inverse(divide(A,A)),divide(B,C)) <-> divide(C,B) collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [98] divide(A,inverse(divide(inverse(A),B))) -> inverse(B)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [99]
% divide(A,inverse(divide(B,divide(C,divide(inverse(B),A))))) -> inverse(C)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [100]
% divide(C,C) <-> divide(inverse(A),divide(inverse(B),inverse(divide(B,A))))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 40
% Rule [100]
% divide(C,C) <->
% divide(inverse(A),divide(inverse(B),inverse(divide(B,A)))) is composed into
% [100] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [101]
% divide(inverse(A),divide(inverse(B),inverse(divide(B,A)))) <-> divide(C,C)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [102] divide(C,C) <-> divide(A,divide(inverse(B),divide(inverse(A),B)))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 42
% Rule [102] divide(C,C) <-> divide(A,divide(inverse(B),divide(inverse(A),B))) is composed into
% [102] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [103] divide(A,divide(inverse(B),divide(inverse(A),B))) <-> divide(C,C)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [104]
% divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(divide(
% inverse(C),
% divide(D,
% inverse(B)))))
% -> inverse(D)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [105] divide(inverse(B),divide(A,B)) -> inverse(A)
% Rule [81] divide(inverse(A),divide(inverse(B),divide(A,B))) <-> divide(C,C)
% collapsed.
% Rule [82] inverse(divide(inverse(C),divide(V_4,C))) -> V_4 collapsed.
% Rule [103] divide(A,divide(inverse(B),divide(inverse(A),B))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [106]
% divide(C,C) <-> divide(divide(A,inverse(B)),inverse(divide(inverse(B),A)))
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [106]
% divide(C,C) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(B),A))) is composed into
% [106] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [107]
% divide(divide(A,inverse(B)),inverse(divide(inverse(B),A))) <-> divide(C,C)
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [108]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,divide(inverse(C),B)))))
% Current number of equations to process: 319
% Current number of ordered equations: 3
% Current number of rules: 45
% New rule produced :
% [109]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,divide(C,inverse(B))))))
% Current number of equations to process: 319
% Current number of ordered equations: 2
% Current number of rules: 46
% Rule [108]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,divide(inverse(C),B))))) is composed into
% [108] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [110]
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,divide(inverse(C),B)))))
% <-> divide(D,D)
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 47
% Rule [109]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,divide(C,inverse(B)))))) is composed into
% [109] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [111]
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,divide(C,inverse(B))))))
% <-> divide(D,D)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [112]
% divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(divide(
% inverse(
% divide(B,
% inverse(C))),D)))
% -> inverse(D)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [113]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% inverse(
% divide(B,C)),A)))))
% Current number of equations to process: 318
% Current number of ordered equations: 3
% Current number of rules: 50
% New rule produced :
% [114]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% inverse(
% divide(A,C))))))
% Current number of equations to process: 318
% Current number of ordered equations: 2
% Current number of rules: 51
% Rule [113]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% inverse(
% divide(B,C)),A))))) is composed into
% [113] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [115]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% inverse(
% divide(B,C)),A)))))
% <-> divide(D,D)
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 52
% Rule [114]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% inverse(
% divide(A,C)))))) is composed into
% [114] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [116]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% inverse(
% divide(A,C))))))
% <-> divide(D,D)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [117]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,inverse(divide(B,
% inverse(C)))))))
% Current number of equations to process: 323
% Current number of ordered equations: 3
% Current number of rules: 54
% New rule produced :
% [118]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,inverse(divide(
% inverse(B),C))))))
% Current number of equations to process: 323
% Current number of ordered equations: 2
% Current number of rules: 55
% Rule [117]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,inverse(divide(B,
% inverse(C))))))) is composed into
% [117] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [119]
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,inverse(divide(B,
% inverse(C)))))))
% <-> divide(D,D)
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 56
% Rule [118]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,inverse(divide(
% inverse(B),C)))))) is composed into
% [118] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [120]
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,inverse(divide(
% inverse(B),C))))))
% <-> divide(D,D)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [121]
% inverse(divide(inverse(divide(inverse(A),inverse(divide(divide(A,B),C)))),
% divide(C,inverse(B)))) <-> divide(D,D)
% Current number of equations to process: 323
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced :
% [122]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% divide(C,A),B)))))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [122]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% divide(C,A),B))))) is composed into
% [122] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [123]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% divide(C,A),B)))))
% <-> divide(D,D)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [124]
% divide(C,C) <-> divide(inverse(divide(inverse(A),B)),divide(B,inverse(A)))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 61
% Rule [124]
% divide(C,C) <->
% divide(inverse(divide(inverse(A),B)),divide(B,inverse(A))) is composed into
% [124] divide(C,C) <-> divide(c3,c3)
% New rule produced :
% [125]
% divide(inverse(divide(inverse(A),B)),divide(B,inverse(A))) <-> divide(C,C)
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [126]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(divide(inverse(C),B),A)))))
% Current number of equations to process: 327
% Current number of ordered equations: 3
% Current number of rules: 63
% New rule produced :
% [127]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(divide(C,
% inverse(B)),A)))))
% Current number of equations to process: 327
% Current number of ordered equations: 2
% Current number of rules: 64
% Rule [126]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(divide(
% inverse(C),B),A))))) is composed into
% [126] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [128]
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(divide(inverse(C),B),A)))))
% <-> divide(D,D)
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 65
% Rule [127]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(divide(C,
% inverse(B)),A))))) is composed into
% [127] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [129]
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(divide(C,
% inverse(B)),A)))))
% <-> divide(D,D)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [130]
% inverse(divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(
% divide(
% inverse(C),B))))
% <-> divide(D,D)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [131]
% inverse(divide(inverse(A),divide(inverse(B),divide(A,divide(B,C))))) ->
% inverse(C)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [132]
% divide(divide(A,inverse(B)),inverse(divide(inverse(B),divide(C,inverse(A)))))
% -> inverse(C)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [133] divide(inverse(A),inverse(divide(A,inverse(B)))) -> B
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [134]
% divide(inverse(A),divide(B,divide(A,C))) -> inverse(divide(B,inverse(C)))
% Rule
% [78]
% divide(C,inverse(divide(inverse(D),divide(B,divide(D,C))))) -> inverse(B)
% collapsed.
% Rule
% [84]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,divide(C,B)))))
% <-> divide(D,D) collapsed.
% Rule
% [90]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% divide(C,A)))))
% <-> divide(D,D) collapsed.
% Rule
% [104]
% divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(divide(
% inverse(C),
% divide(D,
% inverse(B)))))
% -> inverse(D) collapsed.
% Rule
% [111]
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,divide(C,inverse(B))))))
% <-> divide(D,D) collapsed.
% Rule
% [112]
% divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(divide(
% inverse(
% divide(B,
% inverse(C))),D)))
% -> inverse(D) collapsed.
% Rule
% [130]
% inverse(divide(inverse(divide(inverse(A),divide(B,divide(A,C)))),inverse(
% divide(
% inverse(C),B))))
% <-> divide(D,D) collapsed.
% Rule
% [131]
% inverse(divide(inverse(A),divide(inverse(B),divide(A,divide(B,C))))) ->
% inverse(C) collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [135]
% divide(inverse(A),divide(B,inverse(divide(C,A)))) ->
% inverse(divide(B,inverse(C)))
% Rule
% [88]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,inverse(
% divide(B,C))))))
% <-> divide(D,D) collapsed.
% Rule
% [95]
% divide(A,inverse(divide(inverse(B),divide(C,inverse(divide(A,B)))))) ->
% inverse(C) collapsed.
% Rule
% [101]
% divide(inverse(A),divide(inverse(B),inverse(divide(B,A)))) <-> divide(C,C)
% collapsed.
% Rule
% [116]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),divide(B,
% inverse(
% divide(A,C))))))
% <-> divide(D,D) collapsed.
% Rule
% [120]
% divide(divide(A,B),inverse(divide(inverse(C),divide(A,inverse(divide(
% inverse(B),C))))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [136]
% inverse(divide(C,inverse(B))) <->
% divide(inverse(A),inverse(divide(divide(A,B),C)))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [137]
% divide(inverse(A),inverse(divide(divide(A,B),C))) <->
% inverse(divide(C,inverse(B)))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [138]
% divide(A,inverse(divide(B,inverse(divide(divide(inverse(B),A),C))))) ->
% inverse(C)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [139]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,divide(
% inverse(C),A)))))
% Current number of equations to process: 335
% Current number of ordered equations: 3
% Current number of rules: 63
% New rule produced :
% [140] divide(D,D) <-> divide(inverse(divide(A,B)),divide(B,A))
% Current number of equations to process: 335
% Current number of ordered equations: 2
% Current number of rules: 64
% Rule [139]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,divide(
% inverse(C),A))))) is composed into
% [139] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [141]
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,divide(
% inverse(C),A)))))
% <-> divide(D,D)
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 65
% Rule [140] divide(D,D) <-> divide(inverse(divide(A,B)),divide(B,A)) is composed into
% [140] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [142] divide(inverse(divide(A,B)),divide(B,A)) <-> divide(D,D)
% Rule
% [125]
% divide(inverse(divide(inverse(A),B)),divide(B,inverse(A))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [143]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% divide(A,C))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 66
% Rule [143]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% divide(A,C)))) is composed into
% [143] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [144]
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% divide(A,C)))) <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [145]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% divide(A,inverse(B)))))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [145]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% divide(A,
% inverse(B))))) is composed into
% [145] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [146]
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% divide(A,inverse(B)))))
% <-> divide(D,D)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [147]
% divide(A,inverse(divide(inverse(B),inverse(divide(inverse(divide(A,B)),C)))))
% -> inverse(C)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [136]
% inverse(divide(C,inverse(B))) <->
% divide(inverse(A),inverse(divide(divide(A,B),C))) is composed into
% [136] inverse(divide(C,inverse(B))) <-> divide(inverse(B),C)
% New rule produced :
% [148]
% divide(inverse(C),inverse(divide(divide(C,A),B))) -> divide(inverse(A),B)
% Rule
% [89]
% divide(divide(A,inverse(B)),inverse(divide(inverse(C),inverse(divide(
% divide(C,B),A)))))
% <-> divide(D,D) collapsed.
% Rule
% [94]
% divide(A,inverse(divide(inverse(B),inverse(divide(divide(B,A),C))))) ->
% inverse(C) collapsed.
% Rule
% [121]
% inverse(divide(inverse(divide(inverse(A),inverse(divide(divide(A,B),C)))),
% divide(C,inverse(B)))) <-> divide(D,D) collapsed.
% Rule
% [123]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% divide(C,A),B)))))
% <-> divide(D,D) collapsed.
% Rule
% [129]
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(divide(C,
% inverse(B)),A)))))
% <-> divide(D,D) collapsed.
% Rule
% [137]
% divide(inverse(A),inverse(divide(divide(A,B),C))) <->
% inverse(divide(C,inverse(B))) collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [149] divide(inverse(B),inverse(divide(B,A))) -> inverse(A)
% Rule [96] inverse(divide(inverse(A),inverse(divide(A,B)))) -> B collapsed.
% Rule [133] divide(inverse(A),inverse(divide(A,inverse(B)))) -> B collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [150] divide(D,D) <-> divide(divide(A,B),inverse(divide(B,A)))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 65
% Rule [150] divide(D,D) <-> divide(divide(A,B),inverse(divide(B,A))) is composed into
% [150] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [151] divide(divide(A,B),inverse(divide(B,A))) <-> divide(D,D)
% Rule
% [107]
% divide(divide(A,inverse(B)),inverse(divide(inverse(B),A))) <-> divide(C,C)
% collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [152]
% divide(A,inverse(divide(B,divide(C,inverse(divide(A,inverse(B))))))) ->
% inverse(C)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [153] divide(C,divide(B,divide(inverse(C),inverse(A)))) <-> divide(A,B)
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [154] divide(A,B) <-> divide(C,divide(B,divide(inverse(C),inverse(A))))
% Rule
% [67]
% divide(divide(A,inverse(B)),divide(divide(A,divide(D,B)),inverse(D))) <->
% divide(V_4,V_4) collapsed.
% Rule [71] divide(C,divide(divide(B,divide(D,C)),inverse(D))) -> inverse(B)
% collapsed.
% Rule [73] divide(divide(A,B),inverse(B)) -> A collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [155]
% divide(divide(A,B),inverse(divide(B,divide(C,inverse(A))))) -> inverse(C)
% Rule
% [132]
% divide(divide(A,inverse(B)),inverse(divide(inverse(B),divide(C,inverse(A)))))
% -> inverse(C) collapsed.
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [156]
% divide(C,divide(C,divide(inverse(D),divide(inverse(C),inverse(divide(B,
% divide(D,C)))))))
% -> inverse(B)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [157]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% inverse(divide(
% inverse(B),A)))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 67
% Rule [157]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% inverse(divide(
% inverse(B),A))))) is composed into
% [157] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [158]
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% inverse(divide(
% inverse(B),A)))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [159]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,divide(A,divide(inverse(C),inverse(B))))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [159]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,divide(A,divide(inverse(C),inverse(B)))))) is composed into
% [159] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [160]
% divide(divide(A,B),inverse(divide(C,divide(A,divide(inverse(C),inverse(B))))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [154] divide(A,B) <-> divide(C,divide(B,divide(inverse(C),inverse(A)))) is composed into
% [154] divide(A,B) <-> inverse(divide(B,inverse(inverse(A))))
% New rule produced :
% [161]
% divide(A,divide(B,divide(inverse(A),C))) -> inverse(divide(B,inverse(C)))
% Rule
% [99]
% divide(A,inverse(divide(B,divide(C,divide(inverse(B),A))))) -> inverse(C)
% collapsed.
% Rule
% [110]
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,divide(inverse(C),B)))))
% <-> divide(D,D) collapsed.
% Rule
% [141]
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,divide(
% inverse(C),A)))))
% <-> divide(D,D) collapsed.
% Rule [153] divide(C,divide(B,divide(inverse(C),inverse(A)))) <-> divide(A,B)
% collapsed.
% Rule
% [156]
% divide(C,divide(C,divide(inverse(D),divide(inverse(C),inverse(divide(B,
% divide(D,C)))))))
% -> inverse(B) collapsed.
% Rule
% [160]
% divide(divide(A,B),inverse(divide(C,divide(A,divide(inverse(C),inverse(B))))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [162]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(inverse(divide(B,
% inverse(C))),A)))))
% Current number of equations to process: 334
% Current number of ordered equations: 3
% Current number of rules: 66
% New rule produced :
% [163]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(inverse(divide(
% inverse(B),C)),A)))))
% Current number of equations to process: 334
% Current number of ordered equations: 2
% Current number of rules: 67
% Rule [162]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(inverse(
% divide(B,
% inverse(C))),A))))) is composed into
% [162] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [164]
% divide(divide(A,inverse(B)),inverse(divide(C,inverse(divide(inverse(divide(B,
% inverse(C))),A)))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [163]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(inverse(
% divide(
% inverse(B),C)),A))))) is composed into
% [163] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [165]
% divide(divide(A,B),inverse(divide(inverse(C),inverse(divide(inverse(divide(
% inverse(B),C)),A)))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [166]
% inverse(divide(C,inverse(B))) <->
% divide(inverse(A),inverse(divide(inverse(divide(B,A)),C)))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [167]
% divide(inverse(A),inverse(divide(inverse(divide(B,A)),C))) <->
% inverse(divide(C,inverse(B)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [168]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% inverse(divide(C,A)))))
% Current number of equations to process: 336
% Current number of ordered equations: 1
% Current number of rules: 72
% Rule [168]
% divide(D,D) <->
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% inverse(divide(C,A))))) is composed into
% [168] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [169]
% divide(divide(A,inverse(B)),inverse(divide(inverse(divide(C,inverse(B))),
% inverse(divide(C,A))))) <-> divide(D,D)
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [170]
% inverse(divide(inverse(divide(inverse(A),inverse(divide(inverse(divide(B,A)),C)))),
% divide(C,inverse(B)))) <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [171]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% inverse(
% divide(A,C)),B)))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 75
% Rule [171]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% inverse(
% divide(A,C)),B))))) is composed into
% [171] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [172]
% divide(inverse(divide(inverse(A),B)),inverse(divide(inverse(C),inverse(
% divide(
% inverse(
% divide(A,C)),B)))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [173]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,divide(A,inverse(divide(inverse(B),
% inverse(C)))))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 77
% Rule [173]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,divide(A,inverse(divide(inverse(B),
% inverse(C))))))) is composed into
% [173] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [174]
% divide(divide(A,B),inverse(divide(C,divide(A,inverse(divide(inverse(B),
% inverse(C))))))) <->
% divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [175]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,inverse(
% divide(A,
% inverse(C)))))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 79
% Rule [175]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,inverse(
% divide(A,
% inverse(C))))))) is composed into
% [175] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [176]
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,inverse(
% divide(A,
% inverse(C)))))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [177]
% divide(A,divide(B,inverse(divide(C,inverse(A))))) ->
% inverse(divide(B,inverse(C)))
% Rule
% [119]
% divide(divide(A,inverse(B)),inverse(divide(C,divide(A,inverse(divide(B,
% inverse(C)))))))
% <-> divide(D,D) collapsed.
% Rule
% [152]
% divide(A,inverse(divide(B,divide(C,inverse(divide(A,inverse(B))))))) ->
% inverse(C) collapsed.
% Rule
% [174]
% divide(divide(A,B),inverse(divide(C,divide(A,inverse(divide(inverse(B),
% inverse(C))))))) <->
% divide(D,D) collapsed.
% Rule
% [176]
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,divide(B,inverse(
% divide(A,
% inverse(C)))))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [178]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,inverse(divide(divide(inverse(C),
% inverse(B)),A)))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 78
% Rule [178]
% divide(D,D) <->
% divide(divide(A,B),inverse(divide(C,inverse(divide(divide(inverse(C),
% inverse(B)),A))))) is composed into
% [178] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [179]
% divide(divide(A,B),inverse(divide(C,inverse(divide(divide(inverse(C),
% inverse(B)),A))))) <->
% divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [180]
% inverse(divide(inverse(divide(A,inverse(divide(divide(inverse(A),B),C)))),
% divide(C,inverse(B)))) <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 2
% Current number of rules: 80
% New rule produced :
% [181]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,inverse(divide(
% divide(
% inverse(C),A),B)))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 81
% Rule [181]
% divide(D,D) <->
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,inverse(divide(
% divide(
% inverse(C),A),B))))) is composed into
% [181] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [182]
% divide(inverse(divide(inverse(A),B)),inverse(divide(C,inverse(divide(
% divide(
% inverse(C),A),B)))))
% <-> divide(D,D)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [183]
% inverse(divide(C,inverse(B))) <->
% divide(A,inverse(divide(divide(inverse(A),B),C)))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [184]
% divide(A,inverse(divide(divide(inverse(A),B),C))) <->
% inverse(divide(C,inverse(B)))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [185]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(C,inverse(divide(
% inverse(B),A)))))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 85
% Rule [185]
% divide(D,D) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(C,inverse(divide(
% inverse(B),A))))) is composed into
% [185] divide(D,D) <-> divide(c3,c3)
% New rule produced :
% [186]
% divide(divide(A,inverse(divide(B,C))),inverse(divide(C,inverse(divide(
% inverse(B),A)))))
% <-> divide(D,D)
% Rule
% [158]
% divide(divide(A,inverse(divide(B,inverse(C)))),inverse(divide(inverse(C),
% inverse(divide(
% inverse(B),A)))))
% <-> divide(D,D) collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [187] inverse(divide(B,divide(A,C))) <-> divide(A,divide(B,inverse(C)))
% Rule
% [170]
% inverse(divide(inverse(divide(inverse(A),inverse(divide(inverse(divide(B,A)),C)))),
% divide(C,inverse(B)))) <-> divide(D,D) collapsed.
% Rule
% [180]
% inverse(divide(inverse(divide(A,inverse(divide(divide(inverse(A),B),C)))),
% divide(C,inverse(B)))) <-> divide(D,D) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 84
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 41 rules have been used:
% [1]
% multiply(A,B) -> divide(A,inverse(B)); trace = in the starting set
% [2] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) ->
% C; trace = in the starting set
% [3] divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),
% divide(B,inverse(D)))) <-> divide(V_4,V_4); trace = Self cp of 2
% [4] divide(c3,c3) <-> divide(V_4,V_4); trace = Self cp of 2
% [5] divide(V_4,V_4) <-> divide(c3,c3); trace = Self cp of 2
% [7] divide(C,B) <->
% divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C)))); trace = Cp of 5 and 2
% [8] divide(divide(A,A),divide(B,divide(divide(c3,c3),inverse(C)))) <->
% divide(C,B); trace = Cp of 5 and 2
% [9] divide(divide(A,A),divide(B,divide(divide(C,divide(c3,c3)),inverse(B))))
% -> C; trace = Cp of 5 and 2
% [10] divide(divide(A,A),divide(B,divide(divide(C,C),inverse(D)))) <->
% divide(D,B); trace = Cp of 8 and 4
% [11] divide(divide(A,A),divide(B,divide(divide(C,divide(D,D)),inverse(B))))
% -> C; trace = Cp of 9 and 4
% [12] divide(divide(A,A),divide(c3,c3)) <->
% divide(B,divide(divide(C,C),inverse(B))); trace = Cp of 10 and 5
% [13] divide(B,divide(divide(C,C),inverse(B))) <->
% divide(divide(A,A),divide(c3,c3)); trace = Cp of 10 and 5
% [14] divide(A,A) <-> divide(B,B); trace = Cp of 11 and 5
% [15] divide(C,C) <-> divide(c3,c3); trace = Cp of 13 and 10
% [18] divide(A,divide(divide(B,B),inverse(A))) <-> divide(C,C); trace = Cp of 14 and 12
% [20] divide(divide(A,A),divide(B,B)) <-> divide(C,C); trace = Cp of 14 and 12
% [21] divide(divide(A,A),divide(divide(B,B),divide(divide(c3,c3),inverse(
% divide(C,C)))))
% <-> divide(D,D); trace = Cp of 20 and 7
% [22] divide(divide(A,A),divide(divide(B,B),divide(divide(C,C),inverse(
% divide(D,D)))))
% <-> divide(V_4,V_4); trace = Cp of 21 and 14
% [24] divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(c3,c3),
% inverse(divide(C,C))))))
% <-> divide(D,D); trace = Cp of 18 and 7
% [25] divide(A,divide(divide(B,B),divide(inverse(A),divide(divide(C,C),
% inverse(divide(D,D))))))
% <-> divide(V_4,V_4); trace = Cp of 24 and 14
% [27] divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,C),
% inverse(D)),divide(
% divide(c3,c3),
% inverse(V_4)))))
% -> divide(D,V_4); trace = Cp of 10 and 7
% [29] divide(D,B) <-> inverse(divide(B,D)); trace = Cp of 10 and 7
% [34] divide(divide(A,A),divide(divide(B,inverse(C)),divide(divide(D,D),
% inverse(divide(divide(B,
% divide(V_4,C)),
% inverse(V_4))))))
% <-> divide(V_5,V_5); trace = Cp of 3 and 2
% [35] divide(divide(A,inverse(B)),divide(divide(C,C),inverse(divide(divide(A,
% divide(D,B)),
% inverse(D)))))
% <-> divide(V_4,V_4); trace = Cp of 34 and 2
% [38] divide(D,D) <-> divide(c3,c3); trace = Cp of 35 and 15
% [47] divide(divide(B,B),divide(divide(C,divide(divide(A,divide(D,C)),
% inverse(D))),divide(divide(c3,c3),
% inverse(divide(V_4,V_4)))))
% -> A; trace = Cp of 7 and 2
% [48] divide(divide(A,A),divide(divide(B,B),inverse(divide(C,C)))) <->
% divide(D,D); trace = Cp of 47 and 22
% [49] divide(divide(A,A),divide(inverse(B),divide(divide(C,C),inverse(
% divide(D,D)))))
% -> B; trace = Cp of 47 and 25
% [53] divide(B,B) <-> inverse(divide(A,A)); trace = Cp of 48 and 7
% [57] divide(divide(A,A),inverse(B)) -> B; trace = Cp of 49 and 7
% [58] divide(divide(A,A),divide(divide(B,B),divide(D,V_5))) -> divide(D,V_5); trace = Cp of 27 and 14
% [63] divide(divide(A,A),divide(B,divide(C,inverse(B)))) -> C; trace = Cp of 9 and 4
% [67] divide(divide(A,inverse(B)),divide(divide(A,divide(D,B)),inverse(D)))
% <-> divide(V_4,V_4); trace = Cp of 34 and 2
% [71] divide(C,divide(divide(B,divide(D,C)),inverse(D))) -> inverse(B); trace = Cp of 58 and 2
% [74] divide(divide(A,A),B) -> inverse(B); trace = Cp of 63 and 53
% [78] divide(C,inverse(divide(inverse(D),divide(B,divide(D,C))))) ->
% inverse(B); trace = Cp of 58 and 2
% [84] divide(divide(A,inverse(B)),inverse(divide(inverse(C),divide(A,divide(C,B)))))
% <-> divide(D,D); trace = Cp of 67 and 29
% [93] divide(A,divide(B,inverse(A))) -> inverse(B); trace = Cp of 71 and 53
% [98] divide(A,inverse(divide(inverse(A),B))) -> inverse(B); trace = Cp of 78 and 38
% [134] divide(inverse(A),divide(B,divide(A,C))) ->
% inverse(divide(B,inverse(C))); trace = Cp of 93 and 84
% [187] inverse(divide(B,divide(A,C))) <-> divide(A,divide(B,inverse(C))); trace = Cp of 134 and 98
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 2.500000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------