TSTP Solution File: GRP475-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP475-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n133.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 00:23:15 EDT 2014
% Result : Unsatisfiable 3.07s
% Output : Refutation 3.07s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP475-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n133.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 14:09:18 CDT 2014
% % CPUTime : 3.07
% Processing problem /tmp/CiME_63055_n133.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : 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 "
% b1 lr_lex;
% a1 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% divide lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > divide > inverse > a1 > b1";
%
% let s2 = status F "
% b1 mul;
% a1 mul;
% multiply mul;
% inverse mul;
% divide mul;
% ";
%
% let p2 = precedence F "
% multiply > divide > inverse > a1 = b1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(inverse(a1),a1) = multiply(inverse(b1),b1);"
% ;
% (*
% 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(inverse(a1),a1) =
% multiply(inverse(b1),b1) } (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(inverse(a1),inverse(a1)) = divide(inverse(b1),inverse(b1))
%
% 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(b1,b1),divide(b1,b1)),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),b1),divide(inverse(divide(divide(divide(A,B),
% divide(C,D)),V_4)),b1)))
% 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),b1),inverse(divide(b1,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(b1,b1),divide(b1,b1)),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(b1,b1)
% 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(b1,b1) collapsed.
% Rule [134] divide(divide(B,C),divide(B,C)) <-> divide(A,A) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 69
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 22 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
% [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
% [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
% [27] divide(divide(inverse(divide(A,B)),divide(B,A)),C) <->
% divide(divide(inverse(divide(D,V_4)),divide(V_4,D)),C); trace = Cp of 25 and 6
% [30] divide(divide(divide(A,B),inverse(divide(C,D))),inverse(divide(D,C))) ->
% divide(A,B); trace = Cp of 26 and 25
% [31] divide(inverse(divide(A,B)),divide(B,A)) <->
% divide(inverse(divide(C,D)),divide(D,C)); trace = Cp of 27 and 6
% [40] divide(divide(A,inverse(divide(B,C))),inverse(divide(C,B))) -> A; trace = Cp of 30 and 2
% [44] divide(inverse(divide(C,D)),divide(D,C)) <-> divide(A,A); trace = Cp of 31 and 24
% [136] divide(A,A) <-> divide(B,B); trace = Cp of 44 and 40
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 1.940000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------