%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP551-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n065.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 00:23:27 EDT 2014
% Result : Unsatisfiable 1.43s
% Output : Refutation 1.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP551-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n065.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 19:00:53 CDT 2014
% % CPUTime : 1.43
% Processing problem /tmp/CiME_21939_n065.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,A),divide(divide(divide(B,A),C),B)) = C;
% 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,A),divide(divide(
% divide(B,A),C),B))
% = C,
% 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: 0
% Current number of ordered equations: 3
% 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,A),divide(divide(divide(B,A),C),B)) -> C
% 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,A),divide(identity,B)) <-> divide(B,A)
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [6] divide(B,A) <-> divide(divide(identity,A),divide(identity,B))
% Rule [4] divide(divide(identity,A),divide(divide(divide(B,A),C),B)) -> C
% collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% divide(divide(identity,A),divide(divide(identity,B),divide(identity,divide(
% divide(B,A),C))))
% -> C
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8] divide(identity,divide(identity,A)) <-> divide(A,identity)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced :
% [9] divide(A,identity) <-> divide(identity,divide(identity,A))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% divide(identity,divide(identity,divide(identity,A))) -> divide(identity,A)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% divide(identity,divide(divide(identity,A),divide(identity,divide(divide(A,identity),B))))
% -> B
% Current number of equations to process: 3
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [12] divide(divide(identity,A),divide(divide(identity,B),A)) -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(divide(identity,C),divide(identity,divide(divide(C,A),B)))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [14]
% divide(divide(identity,C),divide(identity,divide(divide(C,A),B))) <->
% divide(divide(identity,A),divide(B,identity))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% divide(divide(identity,divide(identity,A)),divide(identity,divide(identity,B)))
% -> divide(A,B)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [16] divide(identity,divide(A,identity)) -> divide(identity,A)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(divide(identity,B),A)
% Current number of equations to process: 9
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [18]
% divide(B,divide(identity,A)) <->
% divide(divide(A,identity),divide(identity,B))
% The conjecture has been reduced.
% Conjecture is now:
% divide(divide(c3,identity),divide(identity,divide(a3,divide(identity,b3)))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 9
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [19]
% divide(divide(identity,B),A) <->
% divide(divide(identity,A),divide(B,identity))
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [20]
% divide(divide(A,identity),divide(identity,B)) <->
% divide(B,divide(identity,A))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(B,divide(identity,divide(identity,A)))
% Current number of equations to process: 12
% Current number of ordered equations: 3
% Current number of rules: 20
% New rule produced :
% [22]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(divide(identity,divide(identity,B)),A)
% Current number of equations to process: 12
% Current number of ordered equations: 2
% Current number of rules: 21
% New rule produced :
% [23]
% divide(B,divide(identity,divide(identity,A))) <->
% divide(divide(identity,A),divide(identity,B))
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [24]
% divide(divide(identity,divide(identity,B)),A) <->
% divide(divide(identity,A),divide(identity,B))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [22]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(divide(identity,divide(identity,B)),A) is composed into [22]
% divide(
% divide(identity,A),
% divide(identity,B))
% <->
% divide(B,A)
% Rule [21]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(B,divide(identity,divide(identity,A))) is composed into [21]
% divide(
% divide(identity,A),
% divide(identity,B))
% <->
% divide(B,A)
% Rule [9] divide(A,identity) <-> divide(identity,divide(identity,A)) is composed into
% [9] divide(A,identity) -> A
% New rule produced : [25] divide(identity,divide(identity,A)) -> A
% Rule [8] divide(identity,divide(identity,A)) <-> divide(A,identity)
% collapsed.
% Rule
% [10]
% divide(identity,divide(identity,divide(identity,A))) -> divide(identity,A)
% collapsed.
% Rule
% [15]
% divide(divide(identity,divide(identity,A)),divide(identity,divide(identity,B)))
% -> divide(A,B) collapsed.
% Rule
% [23]
% divide(B,divide(identity,divide(identity,A))) <->
% divide(divide(identity,A),divide(identity,B)) collapsed.
% Rule
% [24]
% divide(divide(identity,divide(identity,B)),A) <->
% divide(divide(identity,A),divide(identity,B)) collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26]
% divide(identity,divide(A,divide(identity,divide(divide(identity,A),B)))) -> B
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27]
% divide(identity,divide(divide(identity,A),divide(identity,divide(A,B)))) -> B
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [28] divide(A,divide(A,B)) -> B
% Rule [25] divide(identity,divide(identity,A)) -> A collapsed.
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29]
% divide(divide(identity,B),divide(identity,divide(B,A))) -> divide(identity,A)
% Rule
% [27]
% divide(identity,divide(divide(identity,A),divide(identity,divide(A,B)))) -> B
% collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30] divide(divide(identity,B),divide(A,B)) -> divide(identity,A)
% Rule [12] divide(divide(identity,A),divide(divide(identity,B),A)) -> B
% collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [31] divide(A,divide(identity,divide(divide(B,A),C))) -> divide(B,C)
% Rule
% [26]
% divide(identity,divide(A,divide(identity,divide(divide(identity,A),B)))) -> B
% collapsed.
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32] divide(divide(identity,A),B) <-> divide(divide(identity,B),A)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33] divide(A,divide(identity,B)) <-> divide(B,divide(identity,A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34] divide(identity,B) <-> divide(A,divide(B,divide(identity,A)))
% The conjecture has been reduced.
% Conjecture is now:
% divide(c3,divide(identity,divide(a3,divide(c3,divide(b3,divide(identity,c3)))))) =
% divide(a3,divide(identity,divide(b3,divide(identity,c3))))
%
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [35] divide(A,divide(B,divide(identity,A))) <-> divide(identity,B)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [36] divide(divide(A,B),A) -> divide(identity,B)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [37] divide(A,divide(identity,divide(B,A))) -> B
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38]
% divide(identity,divide(divide(A,B),C)) <->
% divide(divide(identity,A),divide(divide(identity,B),C))
% Current number of equations to process: 31
% Current number of ordered equations: 4
% Current number of rules: 28
% New rule produced :
% [39]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(divide(identity,C),divide(divide(A,C),B))
% Current number of equations to process: 31
% Current number of ordered equations: 3
% Current number of rules: 29
% New rule produced :
% [40]
% divide(divide(identity,A),divide(divide(identity,B),C)) <->
% divide(identity,divide(divide(A,B),C))
% Current number of equations to process: 31
% Current number of ordered equations: 2
% Current number of rules: 30
% New rule produced :
% [41]
% divide(divide(identity,C),divide(divide(A,C),B)) <->
% divide(divide(identity,A),divide(identity,B))
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [42]
% divide(divide(identity,divide(A,B)),C) ->
% divide(divide(identity,A),divide(identity,divide(B,C)))
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 32
% Rule [42]
% divide(divide(identity,divide(A,B)),C) ->
% divide(divide(identity,A),divide(identity,divide(B,C))) is composed into
% [42]
% divide(divide(identity,divide(A,B)),C) ->
% divide(identity,divide(A,divide(B,C)))
% Rule [41]
% divide(divide(identity,C),divide(divide(A,C),B)) <->
% divide(divide(identity,A),divide(identity,B)) is composed into [41]
% divide(
% divide(identity,C),
% divide(
% divide(A,C),B))
% ->
% divide(identity,
% divide(A,B))
% Rule [13]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(divide(identity,C),divide(identity,divide(divide(C,A),B))) is composed into
% [13]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(identity,divide(C,divide(divide(C,A),B)))
% Rule [6] divide(B,A) <-> divide(divide(identity,A),divide(identity,B)) is composed into
% [6] divide(B,A) <-> divide(identity,divide(A,B))
% New rule produced :
% [43]
% divide(divide(identity,A),divide(identity,B)) -> divide(identity,divide(A,B))
% Rule [5] divide(divide(identity,A),divide(identity,B)) <-> divide(B,A)
% collapsed.
% Rule
% [7]
% divide(divide(identity,A),divide(divide(identity,B),divide(identity,divide(
% divide(B,A),C))))
% -> C collapsed.
% Rule
% [11]
% divide(identity,divide(divide(identity,A),divide(identity,divide(divide(A,identity),B))))
% -> B collapsed.
% Rule
% [14]
% divide(divide(identity,C),divide(identity,divide(divide(C,A),B))) <->
% divide(divide(identity,A),divide(B,identity)) collapsed.
% Rule [21] divide(divide(identity,A),divide(identity,B)) <-> divide(B,A)
% collapsed.
% Rule [22] divide(divide(identity,A),divide(identity,B)) <-> divide(B,A)
% collapsed.
% Rule
% [29]
% divide(divide(identity,B),divide(identity,divide(B,A))) -> divide(identity,A)
% collapsed.
% Rule
% [39]
% divide(divide(identity,A),divide(identity,B)) <->
% divide(divide(identity,C),divide(divide(A,C),B)) collapsed.
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [44] divide(identity,divide(A,divide(B,divide(divide(B,A),C)))) -> C
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [45] divide(C,B) <-> divide(A,divide(B,divide(C,A)))
% Rule [34] divide(identity,B) <-> divide(A,divide(B,divide(identity,A)))
% collapsed.
% Current number of equations to process: 34
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced : [46] divide(A,divide(B,divide(C,A))) <-> divide(C,B)
% Rule [35] divide(A,divide(B,divide(identity,A))) <-> divide(identity,B)
% collapsed.
% Current number of equations to process: 34
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [47] divide(divide(A,B),divide(C,B)) -> divide(A,C)
% Rule [30] divide(divide(identity,B),divide(A,B)) -> divide(identity,A)
% collapsed.
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 26
% Rule [13]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(identity,divide(C,divide(divide(C,A),B))) is composed into
% [13]
% divide(divide(identity,A),divide(B,identity)) ->
% divide(identity,divide(A,divide(identity,B)))
% New rule produced :
% [48] divide(C,divide(divide(C,A),B)) -> divide(A,divide(identity,B))
% Rule [44] divide(identity,divide(A,divide(B,divide(divide(B,A),C)))) -> C
% collapsed.
% Current number of equations to process: 38
% Current number of ordered equations: 1
% Current number of rules: 26
% Rule [40]
% divide(divide(identity,A),divide(divide(identity,B),C)) <->
% divide(identity,divide(divide(A,B),C)) is composed into [40]
% divide(divide(identity,A),
% divide(divide(identity,B),C))
% <->
% divide(B,
% divide(A,C))
% New rule produced :
% [49] divide(identity,divide(divide(B,A),C)) -> divide(A,divide(B,C))
% Rule [31] divide(A,divide(identity,divide(divide(B,A),C))) -> divide(B,C)
% collapsed.
% Rule
% [38]
% divide(identity,divide(divide(A,B),C)) <->
% divide(divide(identity,A),divide(divide(identity,B),C)) collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [50]
% divide(divide(identity,A),B) -> divide(identity,divide(A,divide(identity,B)))
% Rule
% [13]
% divide(divide(identity,A),divide(B,identity)) ->
% divide(identity,divide(A,divide(identity,B))) collapsed.
% Rule
% [17]
% divide(divide(identity,A),divide(B,identity)) <->
% divide(divide(identity,B),A) collapsed.
% Rule
% [19]
% divide(divide(identity,B),A) <->
% divide(divide(identity,A),divide(B,identity)) collapsed.
% Rule [32] divide(divide(identity,A),B) <-> divide(divide(identity,B),A)
% collapsed.
% Rule
% [40]
% divide(divide(identity,A),divide(divide(identity,B),C)) <->
% divide(B,divide(A,C)) collapsed.
% Rule
% [41]
% divide(divide(identity,C),divide(divide(A,C),B)) ->
% divide(identity,divide(A,B)) collapsed.
% Rule
% [42]
% divide(divide(identity,divide(A,B)),C) ->
% divide(identity,divide(A,divide(B,C))) collapsed.
% Rule
% [43]
% divide(divide(identity,A),divide(identity,B)) -> divide(identity,divide(A,B))
% collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [51] divide(C,divide(B,A)) <-> divide(A,divide(B,C))
% Rule [33] divide(A,divide(identity,B)) <-> divide(B,divide(identity,A))
% collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [52] divide(C,B) <-> divide(divide(A,B),divide(A,C))
% Current number of equations to process: 58
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced : [53] divide(divide(A,B),divide(A,C)) <-> divide(C,B)
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [54] divide(divide(A,B),C) <-> divide(divide(A,C),B)
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [55] divide(identity,divide(A,divide(B,divide(identity,A)))) -> B
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [56] divide(C,divide(A,divide(B,C))) <-> divide(identity,divide(A,B))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [57] divide(identity,divide(A,B)) <-> divide(C,divide(A,divide(B,C)))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [58] divide(A,divide(B,divide(C,divide(A,B)))) -> C
% Rule [55] divide(identity,divide(A,divide(B,divide(identity,A)))) -> B
% collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 24
% Rule [52] divide(C,B) <-> divide(divide(A,B),divide(A,C)) is composed into
% [52] divide(C,B) <-> divide(identity,divide(B,divide(A,divide(A,C))))
% Rule [18]
% divide(B,divide(identity,A)) <->
% divide(divide(A,identity),divide(identity,B)) is composed into [18]
% divide(B,
% divide(identity,A))
% <->
% divide(identity,
% divide(identity,
% divide(A,
% divide(identity,B))))
% New rule produced :
% [59] divide(divide(A,B),C) -> divide(identity,divide(B,divide(A,C)))
% Rule
% [20]
% divide(divide(A,identity),divide(identity,B)) <->
% divide(B,divide(identity,A)) collapsed.
% Rule [36] divide(divide(A,B),A) -> divide(identity,B) collapsed.
% Rule [47] divide(divide(A,B),divide(C,B)) -> divide(A,C) collapsed.
% Rule [48] divide(C,divide(divide(C,A),B)) -> divide(A,divide(identity,B))
% collapsed.
% Rule [49] divide(identity,divide(divide(B,A),C)) -> divide(A,divide(B,C))
% collapsed.
% Rule
% [50]
% divide(divide(identity,A),B) -> divide(identity,divide(A,divide(identity,B)))
% collapsed.
% Rule [53] divide(divide(A,B),divide(A,C)) <-> divide(C,B) collapsed.
% Rule [54] divide(divide(A,B),C) <-> divide(divide(A,C),B) collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [60]
% divide(identity,divide(B,divide(A,C))) <->
% divide(A,divide(B,divide(identity,C)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 336
% Current number of ordered equations: 3
% Current number of rules: 18
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 13 rules have been used:
% [1]
% divide(A,A) -> identity; trace = in the starting set
% [3] multiply(A,B) -> divide(A,divide(identity,B)); trace = in the starting set
% [4] divide(divide(identity,A),divide(divide(divide(B,A),C),B)) -> C; trace = in the starting set
% [5] divide(divide(identity,A),divide(identity,B)) <-> divide(B,A); trace = Cp of 4 and 1
% [8] divide(identity,divide(identity,A)) <-> divide(A,identity); trace = Cp of 5 and 1
% [12] divide(divide(identity,A),divide(divide(identity,B),A)) -> B; trace = Cp of 4 and 1
% [14] divide(divide(identity,C),divide(identity,divide(divide(C,A),B))) <->
% divide(divide(identity,A),divide(B,identity)); trace = Self cp of 4
% [18] divide(B,divide(identity,A)) <->
% divide(divide(A,identity),divide(identity,B)); trace = Cp of 8 and 5
% [28] divide(A,divide(A,B)) -> B; trace = Cp of 12 and 5
% [31] divide(A,divide(identity,divide(divide(B,A),C))) -> divide(B,C); trace = Cp of 14 and 5
% [34] divide(identity,B) <-> divide(A,divide(B,divide(identity,A))); trace = Cp of 28 and 18
% [48] divide(C,divide(divide(C,A),B)) -> divide(A,divide(identity,B)); trace = Cp of 31 and 28
% [60] divide(identity,divide(B,divide(A,C))) <->
% divide(A,divide(B,divide(identity,C))); trace = Cp of 48 and 28
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 0.320000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------