TSTP Solution File: GRP447-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP447-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n117.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 00:23:11 EDT 2014
% Result : Unsatisfiable 6.32s
% Output : Refutation 6.32s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP447-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n117.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 13:40:28 CDT 2014
% % CPUTime : 6.32
% Processing problem /tmp/CiME_3035_n117.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; inverse : 1; multiply : 2; divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B;
% multiply(A,B) = divide(A,divide(divide(C,C),B));
% inverse(A) = divide(divide(B,B),A);
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% divide lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > divide > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% divide mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > divide > a3 = b3 = c3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { divide(A,divide(divide(divide(divide(A,A),B),C),
% divide(divide(divide(A,A),A),C))) = B,
% multiply(A,B) = divide(A,divide(divide(C,C),B)),
% inverse(A) = divide(divide(B,B),A) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] inverse(A) <-> divide(divide(B,B),A)
% Current number of equations to process: 1
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] divide(divide(B,B),A) <-> divide(divide(c3,c3),A)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [4] multiply(A,B) <-> divide(A,divide(divide(C,C),B))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,divide(divide(c3,c3),b3)),divide(divide(c3,c3),c3)) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))
% -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] divide(divide(divide(A,A),divide(c3,c3)),B) -> divide(divide(c3,c3),B)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C)
% Rule
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B)
% collapsed.
% Rule
% [7] divide(divide(divide(A,A),divide(c3,c3)),B) -> divide(divide(c3,c3),B)
% collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% divide(divide(divide(c3,c3),divide(divide(c3,c3),divide(A,A))),B) ->
% divide(divide(c3,c3),B)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(c3,c3))),B) ->
% divide(divide(c3,c3),B)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,B))),C) ->
% divide(divide(c3,c3),C)
% Rule
% [9]
% divide(divide(divide(c3,c3),divide(divide(c3,c3),divide(A,A))),B) ->
% divide(divide(c3,c3),B) collapsed.
% Rule
% [10]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(c3,c3))),B) ->
% divide(divide(c3,c3),B) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [12]
% divide(divide(divide(A,A),divide(divide(c3,c3),divide(B,B))),C) ->
% divide(divide(c3,c3),C)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [13]
% divide(divide(divide(A,A),divide(divide(B,B),divide(c3,c3))),C) ->
% divide(divide(c3,c3),C)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14]
% divide(divide(divide(A,A),divide(divide(B,B),divide(C,C))),V_3) ->
% divide(divide(c3,c3),V_3)
% Rule
% [11]
% divide(divide(divide(c3,c3),divide(divide(A,A),divide(B,B))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Rule
% [12]
% divide(divide(divide(A,A),divide(divide(c3,c3),divide(B,B))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Rule
% [13]
% divide(divide(divide(A,A),divide(divide(B,B),divide(c3,c3))),C) ->
% divide(divide(c3,c3),C) collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [15]
% divide(A,divide(divide(divide(c3,c3),B),divide(divide(divide(A,A),A),B))) ->
% divide(A,A)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [16] divide(A,A) <-> divide(divide(B,B),divide(C,C))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [16] divide(A,A) <-> divide(divide(B,B),divide(C,C)) is composed into
% [16] divide(A,A) <-> divide(c3,c3)
% New rule produced : [17] divide(divide(B,B),divide(C,C)) <-> divide(A,A)
% Rule [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C)
% collapsed.
% Rule
% [14]
% divide(divide(divide(A,A),divide(divide(B,B),divide(C,C))),V_3) ->
% divide(divide(c3,c3),V_3) collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [18] divide(A,A) <-> divide(C,C)
% Rule [2] divide(divide(B,B),A) <-> divide(divide(c3,c3),A) collapsed.
% Rule [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A) collapsed.
% Rule [16] divide(A,A) <-> divide(c3,c3) collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [19]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(A,A),A),C))) <->
% divide(V_3,V_3)
% Rule
% [15]
% divide(A,divide(divide(divide(c3,c3),B),divide(divide(divide(A,A),A),B))) ->
% divide(A,A) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [20]
% divide(A,divide(divide(B,B),divide(divide(divide(A,A),A),divide(C,C)))) ->
% divide(A,A)
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [21]
% divide(divide(A,A),divide(divide(divide(c3,c3),B),divide(divide(A,A),B))) ->
% divide(c3,c3)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [22] divide(A,divide(B,B)) -> A
% Rule [17] divide(divide(B,B),divide(C,C)) <-> divide(A,A) collapsed.
% Rule
% [20]
% divide(A,divide(divide(B,B),divide(divide(divide(A,A),A),divide(C,C)))) ->
% divide(A,A) collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [23] divide(A,divide(divide(B,B),divide(divide(A,A),A))) -> divide(A,A)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [24]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(V_3,V_3),A),C)))
% <-> divide(V_4,V_4)
% Rule
% [19]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(A,A),A),C))) <->
% divide(V_3,V_3) collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [25] divide(divide(divide(c3,c3),A),divide(divide(B,B),A)) -> divide(c3,c3)
% Rule
% [21]
% divide(divide(A,A),divide(divide(divide(c3,c3),B),divide(divide(A,A),B))) ->
% divide(c3,c3) collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [26] divide(A,divide(divide(divide(A,A),B),divide(divide(A,A),A))) -> B
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [27] divide(A,divide(divide(B,B),divide(divide(C,C),A))) -> divide(A,A)
% Rule [23] divide(A,divide(divide(B,B),divide(divide(A,A),A))) -> divide(A,A)
% collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [28] divide(c3,divide(divide(divide(c3,c3),A),divide(divide(B,B),c3))) -> A
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [29] divide(divide(divide(A,A),B),divide(divide(C,C),B)) -> divide(c3,c3)
% Rule
% [25] divide(divide(divide(c3,c3),A),divide(divide(B,B),A)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [30] divide(A,divide(divide(divide(B,B),C),divide(divide(A,A),A))) -> C
% Rule [26] divide(A,divide(divide(divide(A,A),B),divide(divide(A,A),A))) -> B
% collapsed.
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [31] divide(c3,divide(divide(divide(A,A),B),divide(divide(C,C),c3))) -> B
% Rule
% [28] divide(c3,divide(divide(divide(c3,c3),A),divide(divide(B,B),c3))) -> A
% collapsed.
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [32] divide(A,divide(divide(divide(A,A),B),divide(divide(C,C),A))) -> B
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [33] divide(divide(A,A),divide(divide(B,B),C)) -> C
% Rule [27] divide(A,divide(divide(B,B),divide(divide(C,C),A))) -> divide(A,A)
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [34] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C
% Rule [30] divide(A,divide(divide(divide(B,B),C),divide(divide(A,A),A))) -> C
% collapsed.
% Rule
% [31] divide(c3,divide(divide(divide(A,A),B),divide(divide(C,C),c3))) -> B
% collapsed.
% Rule [32] divide(A,divide(divide(divide(A,A),B),divide(divide(C,C),A))) -> B
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [35] divide(A,divide(B,divide(divide(C,C),A))) <-> divide(divide(V_3,V_3),B)
% Rule
% [34] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C
% collapsed.
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [36] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C)
% Rule
% [24]
% divide(A,divide(divide(divide(B,B),C),divide(divide(divide(V_3,V_3),A),C)))
% <-> divide(V_4,V_4) collapsed.
% Rule
% [29] divide(divide(divide(A,A),B),divide(divide(C,C),B)) -> divide(c3,c3)
% collapsed.
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [37] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [38] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [39]
% divide(A,divide(B,divide(divide(divide(A,A),A),C))) <->
% divide(divide(divide(V_3,V_3),C),B)
% Rule
% [5]
% divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))
% -> B collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [40]
% divide(divide(A,A),divide(B,divide(divide(A,A),C))) <->
% divide(divide(divide(V_3,V_3),C),B)
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [41]
% divide(divide(divide(V_3,V_3),C),B) <->
% divide(divide(A,A),divide(B,divide(divide(A,A),C)))
% Rule
% [38] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3
% collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [42]
% divide(A,divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(divide(V_4,V_4),divide(V_3,A)),B)
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [43]
% divide(divide(divide(V_4,V_4),divide(V_3,A)),B) <->
% divide(A,divide(B,divide(divide(C,C),V_3)))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [44]
% divide(A,divide(B,divide(divide(divide(C,C),A),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),B)
% Rule
% [39]
% divide(A,divide(B,divide(divide(divide(A,A),A),C))) <->
% divide(divide(divide(V_3,V_3),C),B) collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [45] divide(divide(A,A),divide(B,C)) <-> divide(C,B)
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced : [46] divide(C,B) <-> divide(divide(A,A),divide(B,C))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(divide(divide(c3,c3),c3),divide(a3,divide(
% divide(c3,c3),b3)))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [47]
% divide(divide(A,A),divide(B,divide(divide(C,C),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),B)
% Rule
% [40]
% divide(divide(A,A),divide(B,divide(divide(A,A),C))) <->
% divide(divide(divide(V_3,V_3),C),B) collapsed.
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [48]
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3)) <->
% divide(V_3,divide(divide(V_4,V_4),C))
% Current number of equations to process: 51
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [49]
% divide(V_3,divide(divide(V_4,V_4),C)) <->
% divide(divide(A,A),divide(divide(divide(B,B),C),V_3))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [50]
% divide(divide(divide(A,A),B),C) <->
% divide(divide(divide(V_3,V_3),V_4),divide(C,divide(V_4,B)))
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [51]
% divide(divide(divide(V_3,V_3),V_4),divide(C,divide(V_4,B))) <->
% divide(divide(divide(A,A),B),C)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [52] divide(divide(A,C),divide(B,C)) -> divide(A,B)
% Rule
% [36] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C)
% collapsed.
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [53] divide(A,divide(V_3,C)) <-> divide(divide(A,divide(divide(B,B),C)),V_3)
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [54] divide(divide(A,divide(divide(B,B),C)),V_3) <-> divide(A,divide(V_3,C))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [55] divide(divide(V_3,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,A)))
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [56] divide(divide(A,B),divide(C,divide(B,A))) <-> divide(divide(V_3,V_3),C)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [57] divide(A,divide(C,divide(divide(V_3,V_3),B))) <-> divide(divide(A,B),C)
% Current number of equations to process: 93
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [58] divide(divide(A,B),C) <-> divide(A,divide(C,divide(divide(V_3,V_3),B)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,c3),divide(divide(divide(c3,c3),c3),divide(a3,divide(c3,
% divide(b3,
% divide(
% divide(c3,c3),c3)))))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [59]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(divide(V_4,V_4),divide(divide(V_3,C),A)),B)
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [60]
% divide(divide(divide(V_4,V_4),divide(divide(V_3,C),A)),B) <->
% divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [61]
% divide(divide(divide(V_4,V_4),V_3),C) <->
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3)))
% Rule
% [41]
% divide(divide(divide(V_3,V_3),C),B) <->
% divide(divide(A,A),divide(B,divide(divide(A,A),C))) collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [62]
% divide(divide(A,B),divide(C,divide(divide(B,A),V_3))) <->
% divide(divide(divide(V_4,V_4),V_3),C)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [63]
% divide(divide(A,A),divide(B,divide(C,V_3))) <->
% divide(divide(divide(V_4,V_4),divide(V_3,C)),B)
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [64]
% divide(divide(divide(V_4,V_4),divide(V_3,C)),B) <->
% divide(divide(A,A),divide(B,divide(C,V_3)))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [65]
% divide(divide(A,A),divide(divide(B,C),V_3)) <->
% divide(V_3,divide(divide(V_4,V_4),divide(C,B)))
% Current number of equations to process: 114
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [66]
% divide(V_3,divide(divide(V_4,V_4),divide(C,B))) <->
% divide(divide(A,A),divide(divide(B,C),V_3))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [67] divide(divide(c3,c3),divide(B,divide(A,divide(divide(C,C),B)))) -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [68] divide(divide(A,divide(B,C)),divide(C,B)) -> A
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [69] divide(A,divide(V_3,C)) <-> divide(divide(A,divide(B,C)),divide(V_3,B))
% Current number of equations to process: 187
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [70] divide(divide(A,B),divide(C,divide(B,V_3))) <-> divide(divide(A,V_3),C)
% Current number of equations to process: 187
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [71] divide(divide(A,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,V_3)))
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [72] divide(divide(A,divide(B,C)),divide(V_3,B)) <-> divide(A,divide(V_3,C))
% Rule [68] divide(divide(A,divide(B,C)),divide(C,B)) -> A collapsed.
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [73] divide(divide(divide(C,C),divide(V_3,A)),divide(B,V_3)) -> divide(A,B)
% Rule
% [37] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C
% collapsed.
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [74] divide(divide(A,B),divide(divide(C,C),divide(B,V_3))) -> divide(A,V_3)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [75]
% divide(A,divide(divide(V_4,V_4),divide(C,V_3))) <->
% divide(divide(A,divide(divide(B,B),C)),V_3)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 39
% Rule [75]
% divide(A,divide(divide(V_4,V_4),divide(C,V_3))) <->
% divide(divide(A,divide(divide(B,B),C)),V_3) is composed into [75]
% divide(A,
% divide(
% divide(V_4,V_4),
% divide(C,V_3)))
% <->
% divide(A,
% divide(
% divide(c3,c3),
% divide(C,V_3)))
% Rule [53]
% divide(A,divide(V_3,C)) <-> divide(divide(A,divide(divide(B,B),C)),V_3) is composed into
% [53]
% divide(A,divide(V_3,C)) <-> divide(A,divide(divide(c3,c3),divide(C,V_3)))
% New rule produced :
% [76]
% divide(divide(A,divide(divide(B,B),C)),V_3) <->
% divide(A,divide(divide(V_4,V_4),divide(C,V_3)))
% Rule
% [54] divide(divide(A,divide(divide(B,B),C)),V_3) <-> divide(A,divide(V_3,C))
% collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [77] divide(divide(A,A),divide(divide(B,C),divide(V_3,divide(C,B)))) -> V_3
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [78] divide(divide(C,V_3),divide(divide(B,A),divide(V_3,C))) -> divide(A,B)
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [79] divide(divide(A,B),divide(divide(C,V_3),divide(B,divide(V_3,C)))) -> A
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [80] divide(A,divide(B,divide(C,V_3))) <-> divide(divide(A,divide(V_3,C)),B)
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [81] divide(divide(A,divide(V_3,C)),B) <-> divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [82] divide(A,divide(divide(B,C),divide(divide(V_3,V_3),A))) -> divide(C,B)
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [83] divide(divide(A,A),divide(B,divide(C,divide(divide(V_3,V_3),B)))) -> C
% Rule
% [67] divide(divide(c3,c3),divide(B,divide(A,divide(divide(C,C),B)))) -> A
% collapsed.
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [84]
% divide(divide(A,A),divide(B,divide(C,V_3))) <->
% divide(C,divide(B,divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [85]
% divide(C,divide(B,divide(divide(V_4,V_4),V_3))) <->
% divide(divide(A,A),divide(B,divide(C,V_3)))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [86]
% divide(V_3,divide(C,divide(divide(V_4,V_4),V_3))) <->
% divide(divide(A,B),divide(C,divide(B,A)))
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [87]
% divide(divide(A,B),divide(C,divide(B,A))) <->
% divide(V_3,divide(C,divide(divide(V_4,V_4),V_3)))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [88]
% divide(A,divide(divide(B,B),C)) <->
% divide(divide(A,divide(V_3,C)),divide(divide(V_4,V_4),V_3))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [89]
% divide(divide(A,divide(V_3,C)),divide(divide(V_4,V_4),V_3)) <->
% divide(A,divide(divide(B,B),C))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [90]
% divide(A,divide(divide(B,B),divide(divide(C,V_3),V_4))) <->
% divide(divide(A,divide(V_3,C)),V_4)
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [91]
% divide(divide(A,divide(V_3,C)),V_4) <->
% divide(A,divide(divide(B,B),divide(divide(C,V_3),V_4)))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [92]
% divide(divide(divide(A,A),divide(B,C)),V_3) <->
% divide(divide(C,V_4),divide(V_3,divide(V_4,B)))
% Current number of equations to process: 429
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [93]
% divide(divide(C,V_4),divide(V_3,divide(V_4,B))) <->
% divide(divide(divide(A,A),divide(B,C)),V_3)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [94]
% divide(A,divide(B,divide(C,V_3))) <->
% divide(divide(V_4,V_4),divide(B,divide(A,divide(V_3,C))))
% Current number of equations to process: 637
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [95]
% divide(divide(V_4,V_4),divide(B,divide(A,divide(V_3,C)))) <->
% divide(A,divide(B,divide(C,V_3)))
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [96]
% divide(A,divide(divide(B,B),divide(C,V_3))) <->
% divide(divide(A,divide(V_4,C)),divide(V_3,V_4))
% Current number of equations to process: 810
% Current number of ordered equations: 3
% Current number of rules: 58
% New rule produced :
% [97]
% divide(divide(A,A),divide(divide(B,C),V_3)) <->
% divide(divide(V_3,divide(V_4,C)),divide(B,V_4))
% Current number of equations to process: 810
% Current number of ordered equations: 2
% Current number of rules: 59
% New rule produced :
% [98]
% divide(divide(V_3,divide(V_4,C)),divide(B,V_4)) <->
% divide(divide(A,A),divide(divide(B,C),V_3))
% Current number of equations to process: 810
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [99]
% divide(divide(A,divide(V_4,C)),divide(V_3,V_4)) <->
% divide(A,divide(divide(B,B),divide(C,V_3)))
% Rule
% [73] divide(divide(divide(C,C),divide(V_3,A)),divide(B,V_3)) -> divide(A,B)
% collapsed.
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [100]
% divide(divide(A,A),divide(B,divide(C,V_3))) <->
% divide(divide(C,V_4),divide(B,divide(V_4,V_3)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(a3,c3),divide(divide(divide(c3,c3),c3),divide(c3,divide(c3,
% divide(b3,
% divide(
% divide(c3,c3),c3)))))) =
% divide(a3,divide(divide(c3,c3),divide(b3,divide(divide(c3,c3),c3))))
%
% Current number of equations to process: 998
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [101]
% divide(divide(C,V_4),divide(B,divide(V_4,V_3))) <->
% divide(divide(A,A),divide(B,divide(C,V_3)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 62
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 26 rules have been used:
% [2]
% divide(divide(B,B),A) <-> divide(divide(c3,c3),A); trace = in the starting set
% [3] divide(divide(c3,c3),A) <-> divide(divide(B,B),A); trace = in the starting set
% [4] multiply(A,B) <-> divide(A,divide(divide(C,C),B)); trace = in the starting set
% [5] divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))
% -> B; trace = in the starting set
% [6] divide(divide(divide(c3,c3),divide(A,A)),B) -> divide(divide(c3,c3),B); trace = Self cp of 2
% [8] divide(divide(divide(A,A),divide(B,B)),C) -> divide(divide(c3,c3),C); trace = Cp of 6 and 3
% [18] divide(A,A) <-> divide(C,C); trace = Cp of 8 and 5
% [22] divide(A,divide(B,B)) -> A; trace = Cp of 18 and 5
% [26] divide(A,divide(divide(divide(A,A),B),divide(divide(A,A),A))) -> B; trace = Cp of 22 and 5
% [30] divide(A,divide(divide(divide(B,B),C),divide(divide(A,A),A))) -> C; trace = Cp of 26 and 18
% [33] divide(divide(A,A),divide(divide(B,B),C)) -> C; trace = Cp of 30 and 22
% [34] divide(A,divide(divide(divide(B,B),C),divide(divide(V_3,V_3),A))) -> C; trace = Cp of 30 and 18
% [35] divide(A,divide(B,divide(divide(C,C),A))) <-> divide(divide(V_3,V_3),B); trace = Cp of 34 and 33
% [36] divide(divide(divide(A,A),B),divide(C,B)) <-> divide(divide(V_3,V_3),C); trace = Cp of 35 and 33
% [37] divide(divide(divide(A,A),divide(B,C)),divide(divide(V_3,V_3),B)) -> C; trace = Self cp of 36
% [38] divide(divide(divide(A,A),divide(divide(divide(B,B),C),V_3)),C) -> V_3; trace = Cp of 37 and 33
% [39] divide(A,divide(B,divide(divide(divide(A,A),A),C))) <->
% divide(divide(divide(V_3,V_3),C),B); trace = Cp of 38 and 5
% [40] divide(divide(A,A),divide(B,divide(divide(A,A),C))) <->
% divide(divide(divide(V_3,V_3),C),B); trace = Cp of 39 and 22
% [43] divide(divide(divide(V_4,V_4),divide(V_3,A)),B) <->
% divide(A,divide(B,divide(divide(C,C),V_3))); trace = Cp of 39 and 36
% [45] divide(divide(A,A),divide(B,C)) <-> divide(C,B); trace = Cp of 40 and 33
% [46] divide(C,B) <-> divide(divide(A,A),divide(B,C)); trace = Cp of 40 and 33
% [52] divide(divide(A,C),divide(B,C)) -> divide(A,B); trace = Cp of 43 and 36
% [58] divide(divide(A,B),C) <-> divide(A,divide(C,divide(divide(V_3,V_3),B))); trace = Cp of 45 and 43
% [71] divide(divide(A,V_3),C) <-> divide(divide(A,B),divide(C,divide(B,V_3))); trace = Self cp of 52
% [100] divide(divide(A,A),divide(B,divide(C,V_3))) <->
% divide(divide(C,V_4),divide(B,divide(V_4,V_3))); trace = Cp of 71 and 46
% [101] divide(divide(C,V_4),divide(B,divide(V_4,V_3))) <->
% divide(divide(A,A),divide(B,divide(C,V_3))); trace = Cp of 71 and 46
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 5.200000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------