%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP457-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n123.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 00:23:13 EDT 2014

% Result   : Unsatisfiable 1.12s
% Output   : Refutation 1.12s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP457-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n123.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 13:51:33 CDT 2014
% % CPUTime  : 1.12 
% Processing problem /tmp/CiME_32220_n123.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a1,identity : constant;  inverse : 1;  multiply : 2;  divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,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 "
% a1 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% identity lr_lex;
% divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > divide > identity > a1";
% 
% let s2 = status F "
% a1 mul;
% inverse mul;
% multiply mul;
% identity mul;
% divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > divide > identity = a1";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(inverse(a1),a1) = identity;"
% ;
% (*
% 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(divide(A,A),divide(A,divide(B,
% divide(
% divide(identity,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(inverse(a1),a1) = identity }
% (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)
% The conjecture has been reduced. 
% Conjecture is now:
% multiply(divide(identity,a1),a1) = identity
% 
% 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:
% Trivial
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 2 rules have been used:
% [2] 
% inverse(A) -> divide(identity,A); trace = in the starting set
% [3] multiply(A,B) -> divide(A,divide(identity,B)); trace = in the starting set
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 0.000000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------