TSTP Solution File: GRP456-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP456-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n111.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:12 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP456-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n111.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 13:50:33 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_61141_n111.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3,identity : constant; inverse : 1; multiply : 2; divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B;
% multiply(A,B) = divide(A,divide(identity,B));
% inverse(A) = divide(identity,A);
% identity = divide(A,A);
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% divide lr_lex;
% identity lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > divide > identity > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% divide mul;
% identity mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > divide > identity = 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(identity,divide(A,divide(B,
% divide(divide(
% divide(A,A),A),C)))),C)
% = B,
% multiply(A,B) = divide(A,divide(identity,B)),
% inverse(A) = divide(identity,A),
% identity = divide(A,A) } (4 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] divide(A,A) -> identity
% Current number of equations to process: 1
% Current number of ordered equations: 2
% Current number of rules: 1
% New rule produced : [2] inverse(A) -> divide(identity,A)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] multiply(A,B) -> divide(A,divide(identity,B))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,
% divide(identity,
% divide(b3,
% divide(identity,c3))))
%
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% divide(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),C)
% -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% divide(divide(identity,divide(A,identity)),B) -> divide(divide(identity,A),B)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% divide(divide(identity,A),divide(identity,divide(A,identity))) -> identity
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% divide(divide(identity,divide(identity,divide(A,divide(identity,B)))),B) -> A
% Current number of equations to process: 3
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [8]
% divide(divide(identity,divide(A,divide(B,identity))),divide(identity,A)) -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] divide(identity,divide(A,identity)) -> divide(identity,A)
% Rule
% [5]
% divide(divide(identity,divide(A,identity)),B) -> divide(divide(identity,A),B)
% collapsed.
% Rule
% [6]
% divide(divide(identity,A),divide(identity,divide(A,identity))) -> identity
% collapsed.
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10] divide(divide(identity,divide(identity,A)),identity) -> A
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [11] divide(identity,divide(identity,A)) -> A
% Rule
% [7]
% divide(divide(identity,divide(identity,divide(A,divide(identity,B)))),B) -> A
% collapsed.
% Rule [10] divide(divide(identity,divide(identity,A)),identity) -> A
% collapsed.
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [12] divide(A,identity) -> A
% Rule
% [8]
% divide(divide(identity,divide(A,divide(B,identity))),divide(identity,A)) -> B
% collapsed.
% Rule [9] divide(identity,divide(A,identity)) -> divide(identity,A) collapsed.
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [13] divide(divide(A,divide(identity,B)),B) -> A
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [14] divide(divide(identity,divide(A,B)),divide(identity,A)) -> B
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [15] divide(identity,divide(A,divide(B,divide(identity,A)))) -> B
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [16] divide(divide(A,B),divide(identity,B)) -> A
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [17] divide(identity,divide(B,A)) <-> divide(A,B)
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [18] divide(A,B) <-> divide(identity,divide(B,A))
% Rule
% [4]
% divide(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),C)
% -> B collapsed.
% Rule [13] divide(divide(A,divide(identity,B)),B) -> A collapsed.
% Rule [14] divide(divide(identity,divide(A,B)),divide(identity,A)) -> B
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% divide(identity,divide(divide(identity,c3),divide(a3,divide(identity,b3)))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [19]
% divide(identity,divide(C,divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))))
% -> B
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [20] divide(divide(identity,A),divide(B,A)) -> divide(identity,B)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [21] divide(B,divide(A,divide(identity,B))) <-> divide(identity,A)
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [22] divide(identity,A) <-> divide(B,divide(A,divide(identity,B)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(identity,divide(divide(identity,c3),divide(a3,divide(c3,divide(b3,
% divide(identity,c3)))))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [23]
% divide(identity,divide(A,divide(identity,divide(divide(identity,A),B)))) -> B
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [24] divide(divide(A,B),divide(identity,divide(B,A))) -> identity
% Current number of equations to process: 21
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [25] divide(divide(A,divide(B,C)),divide(C,B)) -> A
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [26]
% divide(identity,divide(divide(identity,A),divide(identity,divide(A,B)))) -> B
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [27]
% divide(divide(identity,A),divide(identity,divide(A,divide(identity,B)))) -> B
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [28] divide(identity,divide(divide(A,B),divide(C,divide(B,A)))) -> C
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [29]
% divide(divide(identity,divide(A,B)),C) ->
% divide(B,divide(identity,divide(divide(identity,A),C)))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30]
% divide(divide(identity,A),divide(B,divide(A,divide(divide(identity,B),C))))
% -> C
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [31]
% divide(identity,divide(divide(A,divide(B,divide(identity,A))),divide(C,B)))
% -> C
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [32]
% divide(identity,divide(A,divide(B,divide(C,divide(A,divide(identity,C))))))
% -> B
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [33]
% divide(identity,divide(C,divide(A,divide(divide(identity,C),divide(identity,B)))))
% -> divide(A,B)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [34]
% divide(divide(identity,A),divide(identity,divide(A,B))) -> divide(identity,B)
% Rule
% [26]
% divide(identity,divide(divide(identity,A),divide(identity,divide(A,B)))) -> B
% collapsed.
% Rule
% [27]
% divide(divide(identity,A),divide(identity,divide(A,divide(identity,B)))) -> B
% collapsed.
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [35] divide(divide(A,B),divide(C,divide(B,A))) -> divide(identity,C)
% Rule [24] divide(divide(A,B),divide(identity,divide(B,A))) -> identity
% collapsed.
% Rule [28] divide(identity,divide(divide(A,B),divide(C,divide(B,A)))) -> C
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [36]
% divide(A,divide(identity,divide(divide(identity,A),B))) -> divide(identity,B)
% Rule
% [23]
% divide(identity,divide(A,divide(identity,divide(divide(identity,A),B)))) -> B
% collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [37] divide(divide(A,B),divide(C,divide(B,divide(identity,C)))) -> A
% Current number of equations to process: 22
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [38]
% divide(divide(A,divide(B,divide(identity,A))),divide(identity,B)) -> identity
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [39]
% divide(A,divide(identity,divide(divide(identity,B),C))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [40]
% divide(divide(A,B),C) <->
% divide(A,divide(identity,divide(divide(identity,B),C)))
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [41]
% divide(identity,B) <->
% divide(A,divide(B,divide(C,divide(A,divide(identity,C)))))
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [42]
% divide(A,divide(B,divide(C,divide(A,divide(identity,C))))) <->
% divide(identity,B)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [43]
% divide(divide(A,divide(B,divide(identity,A))),divide(C,B)) ->
% divide(identity,C)
% Rule
% [31]
% divide(identity,divide(divide(A,divide(B,divide(identity,A))),divide(C,B)))
% -> C collapsed.
% Rule
% [38]
% divide(divide(A,divide(B,divide(identity,A))),divide(identity,B)) -> identity
% collapsed.
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [44]
% divide(identity,divide(A,divide(identity,divide(B,C)))) <->
% divide(C,divide(A,divide(identity,B)))
% Current number of equations to process: 27
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [45]
% divide(C,divide(A,divide(identity,B))) <->
% divide(identity,divide(A,divide(identity,divide(B,C))))
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [46]
% divide(identity,divide(C,divide(A,B))) <->
% divide(A,divide(identity,divide(divide(identity,B),C)))
% Current number of equations to process: 26
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [47]
% divide(A,divide(identity,divide(divide(identity,B),C))) <->
% divide(identity,divide(C,divide(A,B)))
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [48]
% divide(identity,divide(divide(A,B),divide(identity,divide(divide(B,A),C))))
% -> C
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [49]
% divide(identity,divide(A,divide(identity,divide(B,C)))) <->
% divide(C,divide(identity,divide(divide(identity,B),A)))
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [50]
% divide(C,divide(identity,divide(divide(identity,B),A))) <->
% divide(identity,divide(A,divide(identity,divide(B,C))))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [51] divide(divide(A,C),divide(identity,divide(C,B))) -> divide(A,B)
% Rule
% [34]
% divide(divide(identity,A),divide(identity,divide(A,B))) -> divide(identity,B)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [52]
% divide(A,divide(B,divide(divide(identity,A),divide(divide(identity,B),C))))
% -> C
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [53]
% divide(divide(identity,A),divide(divide(identity,B),divide(A,divide(B,C))))
% -> C
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [54]
% divide(C,B) <->
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C))))
% Current number of equations to process: 49
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [55]
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C)))) <->
% divide(C,B)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [56]
% divide(divide(identity,A),divide(B,divide(A,C))) <->
% divide(V_3,divide(B,divide(divide(identity,V_3),C)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(identity,divide(c3,divide(a3,divide(identity,divide(b3,divide(identity,
% divide(c3,
% divide(identity,c3)))))))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 54
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [57]
% divide(V_3,divide(B,divide(divide(identity,V_3),C))) <->
% divide(divide(identity,A),divide(B,divide(A,C)))
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [58]
% divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) ->
% divide(B,divide(identity,C))
% Rule
% [19]
% divide(identity,divide(C,divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))))
% -> B collapsed.
% Rule
% [33]
% divide(identity,divide(C,divide(A,divide(divide(identity,C),divide(identity,B)))))
% -> divide(A,B) collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [59] divide(A,divide(B,divide(identity,C))) <-> divide(divide(A,C),B)
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [60] divide(divide(A,C),B) <-> divide(A,divide(B,divide(identity,C)))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [61] divide(divide(A,C),divide(B,C)) -> divide(A,B)
% Rule [16] divide(divide(A,B),divide(identity,B)) -> A collapsed.
% Rule [20] divide(divide(identity,A),divide(B,A)) -> divide(identity,B)
% collapsed.
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [62]
% divide(divide(A,divide(identity,B)),C) ->
% divide(A,divide(identity,divide(B,C)))
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [63]
% divide(identity,divide(divide(A,B),C)) <->
% divide(C,divide(identity,divide(B,A)))
% Current number of equations to process: 88
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [64]
% divide(C,divide(identity,divide(B,A))) <->
% divide(identity,divide(divide(A,B),C))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [65]
% divide(identity,divide(A,divide(identity,divide(B,C)))) <->
% divide(divide(C,B),A)
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [66]
% divide(divide(C,B),A) <->
% divide(identity,divide(A,divide(identity,divide(B,C))))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [67]
% divide(divide(A,B),divide(identity,divide(divide(B,A),C))) ->
% divide(identity,C)
% Rule
% [48]
% divide(identity,divide(divide(A,B),divide(identity,divide(divide(B,A),C))))
% -> C collapsed.
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [68]
% divide(A,divide(identity,divide(divide(B,C),V_3))) <->
% divide(divide(A,divide(C,B)),V_3)
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [69]
% divide(divide(A,divide(C,B)),V_3) <->
% divide(A,divide(identity,divide(divide(B,C),V_3)))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% divide(B,divide(A,divide(identity,C))) <->
% divide(identity,divide(A,divide(B,C)))
% Current number of equations to process: 135
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [71]
% divide(identity,divide(A,divide(B,C))) <->
% divide(B,divide(A,divide(identity,C)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(a3,divide(c3,divide(b3,divide(identity,divide(c3,divide(identity,c3)))))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [72]
% divide(B,divide(identity,divide(C,A))) <->
% divide(identity,divide(A,divide(B,divide(identity,C))))
% Current number of equations to process: 137
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [73]
% divide(identity,divide(A,divide(B,divide(identity,C)))) <->
% divide(B,divide(identity,divide(C,A)))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [74]
% divide(A,divide(B,divide(divide(identity,A),divide(identity,C)))) <->
% divide(C,B)
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [75]
% divide(C,B) <->
% divide(A,divide(B,divide(divide(identity,A),divide(identity,C))))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [76]
% divide(A,divide(B,divide(divide(identity,A),C))) <->
% divide(divide(identity,C),B)
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [77]
% divide(divide(identity,C),B) <->
% divide(A,divide(B,divide(divide(identity,A),C)))
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [78] divide(A,divide(V_3,divide(C,B))) <-> divide(divide(A,divide(B,C)),V_3)
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [79] divide(divide(A,divide(B,C)),V_3) <-> divide(A,divide(V_3,divide(C,B)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [80]
% divide(A,divide(B,divide(identity,A))) <->
% divide(C,divide(B,divide(identity,C)))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [81]
% divide(A,divide(divide(B,divide(C,A)),divide(identity,C))) ->
% divide(identity,B)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [82]
% divide(divide(identity,A),divide(B,divide(A,C))) <->
% divide(divide(identity,C),B)
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [83]
% divide(divide(identity,C),B) <->
% divide(divide(identity,A),divide(B,divide(A,C)))
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [84]
% divide(identity,divide(A,divide(identity,B))) <->
% divide(C,divide(A,divide(divide(identity,C),B)))
% Current number of equations to process: 461
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [85]
% divide(C,divide(A,divide(divide(identity,C),B))) <->
% divide(identity,divide(A,divide(identity,B)))
% Rule
% [36]
% divide(A,divide(identity,divide(divide(identity,A),B))) -> divide(identity,B)
% collapsed.
% Rule
% [52]
% divide(A,divide(B,divide(divide(identity,A),divide(divide(identity,B),C))))
% -> C collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [86]
% divide(divide(A,divide(C,B)),divide(identity,C)) ->
% divide(A,divide(identity,B))
% Rule
% [81]
% divide(A,divide(divide(B,divide(C,A)),divide(identity,C))) ->
% divide(identity,B) collapsed.
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [87]
% divide(A,divide(B,divide(identity,C))) <->
% divide(divide(A,V_3),divide(B,divide(V_3,C)))
% Current number of equations to process: 483
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [88]
% divide(divide(A,V_3),divide(B,divide(V_3,C))) <->
% divide(A,divide(B,divide(identity,C)))
% Rule [51] divide(divide(A,C),divide(identity,divide(C,B))) -> divide(A,B)
% collapsed.
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [89]
% divide(B,divide(A,C)) <->
% divide(identity,divide(A,divide(B,divide(identity,C))))
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [90]
% divide(identity,divide(A,divide(B,divide(identity,C)))) <->
% divide(B,divide(A,C))
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [91] divide(A,divide(V_3,C)) <-> divide(divide(A,divide(B,C)),divide(V_3,B))
% Current number of equations to process: 696
% Current number of ordered equations: 3
% Current number of rules: 65
% New rule produced :
% [92] divide(divide(A,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,V_3)))
% Rule
% [83]
% divide(divide(identity,C),B) <->
% divide(divide(identity,A),divide(B,divide(A,C))) collapsed.
% Current number of equations to process: 696
% Current number of ordered equations: 2
% Current number of rules: 65
% New rule produced :
% [93] divide(divide(A,B),divide(C,divide(B,V_3))) <-> divide(divide(A,V_3),C)
% Rule
% [82]
% divide(divide(identity,A),divide(B,divide(A,C))) <->
% divide(divide(identity,C),B) collapsed.
% Current number of equations to process: 696
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [94] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C))
% Rule [25] divide(divide(A,divide(B,C)),divide(C,B)) -> A collapsed.
% Rule
% [86]
% divide(divide(A,divide(C,B)),divide(identity,C)) ->
% divide(A,divide(identity,B)) collapsed.
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [95]
% divide(A,divide(divide(B,C),V_3)) <->
% divide(divide(A,divide(divide(identity,C),V_3)),B)
% Current number of equations to process: 887
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [96]
% divide(divide(A,divide(divide(identity,C),V_3)),B) <->
% divide(A,divide(divide(B,C),V_3))
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [97]
% divide(identity,divide(C,divide(identity,B))) <->
% divide(divide(A,divide(B,divide(identity,A))),C)
% Current number of equations to process: 886
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [98]
% divide(divide(A,divide(B,divide(identity,A))),C) <->
% divide(identity,divide(C,divide(identity,B)))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [91]
% divide(A,divide(V_3,C)) <-> divide(divide(A,divide(B,C)),divide(V_3,B)) is composed into
% [91] divide(A,divide(V_3,C)) <-> divide(A,divide(identity,divide(C,V_3)))
% New rule produced :
% [99]
% divide(divide(A,divide(V_3,B)),divide(C,V_3)) ->
% divide(A,divide(identity,divide(B,C)))
% Rule
% [43]
% divide(divide(A,divide(B,divide(identity,A))),divide(C,B)) ->
% divide(identity,C) collapsed.
% Rule
% [94] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C))
% collapsed.
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [100]
% divide(identity,divide(divide(A,divide(B,C)),V_3)) <->
% divide(divide(V_3,divide(C,B)),A)
% Current number of equations to process: 971
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [101]
% divide(divide(V_3,divide(C,B)),A) <->
% divide(identity,divide(divide(A,divide(B,C)),V_3))
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [102]
% divide(identity,divide(B,divide(A,divide(V_3,C)))) <->
% divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 1169
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [103]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(identity,divide(B,divide(A,divide(V_3,C))))
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [104]
% divide(identity,divide(A,divide(B,C))) <->
% divide(divide(B,V_3),divide(A,divide(V_3,C)))
% Current number of equations to process: 2036
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [105]
% divide(divide(B,V_3),divide(A,divide(V_3,C))) <->
% divide(identity,divide(A,divide(B,C)))
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [106]
% divide(B,divide(C,divide(A,divide(identity,C)))) <->
% divide(identity,divide(divide(identity,A),B))
% Current number of equations to process: 3723
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [107]
% divide(identity,divide(divide(identity,A),B)) <->
% divide(B,divide(C,divide(A,divide(identity,C))))
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [108]
% divide(identity,divide(A,B)) <->
% divide(C,divide(A,divide(divide(identity,C),divide(identity,B))))
% Current number of equations to process: 4447
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [109]
% divide(C,divide(A,divide(divide(identity,C),divide(identity,B)))) <->
% divide(identity,divide(A,B))
% Current number of equations to process: 4447
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [110]
% divide(A,divide(B,divide(identity,divide(C,divide(identity,A))))) <->
% divide(divide(identity,C),B)
% Current number of equations to process: 4619
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [111]
% divide(divide(identity,C),B) <->
% divide(A,divide(B,divide(identity,divide(C,divide(identity,A)))))
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [112]
% divide(identity,divide(A,divide(identity,divide(divide(identity,B),C)))) <->
% divide(C,divide(A,B))
% Current number of equations to process: 4885
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [113]
% divide(C,divide(A,B)) <->
% divide(identity,divide(A,divide(identity,divide(divide(identity,B),C))))
% Current number of equations to process: 4885
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [114]
% divide(identity,divide(A,divide(B,divide(C,divide(identity,B))))) <->
% divide(divide(identity,C),A)
% Current number of equations to process: 2256
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [115]
% divide(divide(identity,C),A) <->
% divide(identity,divide(A,divide(B,divide(C,divide(identity,B)))))
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [116]
% divide(identity,divide(V_3,divide(A,divide(C,B)))) <->
% divide(A,divide(identity,divide(divide(B,C),V_3)))
% Current number of equations to process: 2433
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [117]
% divide(A,divide(identity,divide(divide(B,C),V_3))) <->
% divide(identity,divide(V_3,divide(A,divide(C,B))))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [54]
% divide(C,B) <->
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C)))) is composed into
% [54] divide(C,B) <-> divide(identity,divide(B,C))
% New rule produced :
% [118]
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C)))) ->
% divide(identity,divide(B,C))
% Rule
% [55]
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C)))) <->
% divide(C,B) collapsed.
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [119]
% divide(A,divide(C,divide(V_3,divide(B,divide(identity,V_3))))) <->
% divide(divide(A,B),C)
% Rule
% [114]
% divide(identity,divide(A,divide(B,divide(C,divide(identity,B))))) <->
% divide(divide(identity,C),A) collapsed.
% Current number of equations to process: 2923
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [120]
% divide(divide(A,B),C) <->
% divide(A,divide(C,divide(V_3,divide(B,divide(identity,V_3)))))
% Rule
% [115]
% divide(divide(identity,C),A) <->
% divide(identity,divide(A,divide(B,divide(C,divide(identity,B))))) collapsed.
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [121]
% divide(divide(A,V_3),divide(identity,divide(divide(V_3,B),C))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 3269
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [122]
% divide(divide(A,B),C) <->
% divide(divide(A,V_3),divide(identity,divide(divide(V_3,B),C)))
% Rule
% [29]
% divide(divide(identity,divide(A,B)),C) ->
% divide(B,divide(identity,divide(divide(identity,A),C))) collapsed.
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [123]
% divide(A,divide(V_3,C)) <->
% divide(divide(A,divide(B,divide(C,divide(identity,B)))),V_3)
% Current number of equations to process: 3670
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [124]
% divide(divide(A,divide(B,divide(C,divide(identity,B)))),V_3) <->
% divide(A,divide(V_3,C))
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [125]
% divide(A,divide(identity,divide(divide(identity,V_3),C))) <->
% divide(divide(A,B),divide(C,divide(B,V_3)))
% Current number of equations to process: 4022
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [126]
% divide(divide(A,B),divide(C,divide(B,V_3))) <->
% divide(A,divide(identity,divide(divide(identity,V_3),C)))
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [127]
% divide(A,divide(B,divide(divide(identity,A),C))) <->
% divide(V_3,divide(B,divide(divide(identity,V_3),C)))
% Current number of equations to process: 4457
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [128]
% divide(divide(identity,A),divide(B,divide(A,C))) <->
% divide(divide(identity,V_3),divide(B,divide(V_3,C)))
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [129]
% divide(identity,divide(divide(identity,C),divide(A,divide(C,B)))) <->
% divide(A,divide(identity,B))
% Current number of equations to process: 4803
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [130]
% divide(A,divide(identity,B)) <->
% divide(identity,divide(divide(identity,C),divide(A,divide(C,B))))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [131]
% divide(divide(identity,A),divide(B,divide(A,C))) <->
% divide(divide(V_3,divide(C,divide(identity,V_3))),B)
% Current number of equations to process: 1481
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [132]
% divide(divide(V_3,divide(C,divide(identity,V_3))),B) <->
% divide(divide(identity,A),divide(B,divide(A,C)))
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [133]
% divide(divide(identity,A),divide(B,divide(A,divide(C,V_3)))) <->
% divide(divide(V_3,C),B)
% Current number of equations to process: 1797
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [134]
% divide(divide(V_3,C),B) <->
% divide(divide(identity,A),divide(B,divide(A,divide(C,V_3))))
% Current number of equations to process: 1797
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [135]
% divide(V_3,divide(C,divide(divide(identity,V_3),divide(B,A)))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 2285
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [136]
% divide(divide(A,B),C) <->
% divide(V_3,divide(C,divide(divide(identity,V_3),divide(B,A))))
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [137]
% divide(A,divide(identity,divide(B,divide(C,V_3)))) <->
% divide(divide(A,divide(divide(identity,V_3),B)),C)
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [138]
% divide(divide(A,divide(divide(identity,V_3),B)),C) <->
% divide(A,divide(identity,divide(B,divide(C,V_3))))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [139]
% divide(divide(A,C),divide(V_3,divide(identity,B))) <->
% divide(divide(A,divide(B,divide(identity,C))),V_3)
% Current number of equations to process: 3275
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [140]
% divide(divide(A,divide(B,divide(identity,C))),V_3) <->
% divide(divide(A,C),divide(V_3,divide(identity,B)))
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [141]
% divide(divide(A,V_3),divide(C,divide(identity,divide(B,V_3)))) <->
% divide(divide(A,B),C)
% Current number of equations to process: 3808
% Current number of ordered equations: 2
% Current number of rules: 105
% New rule produced :
% [142]
% divide(divide(A,B),C) <->
% divide(divide(A,V_3),divide(C,divide(identity,divide(B,V_3))))
% Current number of equations to process: 3808
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [143]
% divide(divide(A,B),divide(C,divide(B,divide(identity,V_3)))) ->
% divide(A,divide(C,V_3))
% Rule [37] divide(divide(A,B),divide(C,divide(B,divide(identity,C)))) -> A
% collapsed.
% Rule
% [118]
% divide(divide(identity,A),divide(B,divide(A,divide(identity,C)))) ->
% divide(identity,divide(B,C)) collapsed.
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [144]
% divide(identity,divide(divide(A,divide(B,divide(identity,A))),C)) <->
% divide(C,divide(identity,B))
% Current number of equations to process: 4618
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [145]
% divide(C,divide(identity,B)) <->
% divide(identity,divide(divide(A,divide(B,divide(identity,A))),C))
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [146]
% divide(A,divide(divide(B,C),divide(identity,V_3))) <->
% divide(divide(A,V_3),divide(identity,divide(C,B)))
% Current number of equations to process: 4893
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [147]
% divide(divide(A,V_3),divide(identity,divide(C,B))) <->
% divide(A,divide(divide(B,C),divide(identity,V_3)))
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [148]
% divide(identity,divide(divide(B,divide(V_3,C)),A)) <->
% divide(A,divide(B,divide(identity,divide(C,V_3))))
% Current number of equations to process: 2476
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [149]
% divide(A,divide(B,divide(identity,divide(C,V_3)))) <->
% divide(identity,divide(divide(B,divide(V_3,C)),A))
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [150]
% divide(divide(identity,V_3),C) <->
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3)))
% Current number of equations to process: 3024
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [151]
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3))) <->
% divide(divide(identity,V_3),C)
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------