%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Jul 26 07:02:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   5 RR)
%            Number of literals    :   17 (  16 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(B,C),divide(divide(B,A),C)),
    file('/tmp/MaedMax_1760') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_1760') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_1760') ).

cnf(eq_3,axiom,
    divide(A,A) = identity,
    file('/tmp/MaedMax_1760') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_1760') ).

cnf(eq_5,plain,
    divide(A,divide(identity,B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_6,plain,
    divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[eq_2,eq_3]) ).

cnf(eq_7,plain,
    divide(identity,divide(divide(A,x102),A)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_8,plain,
    A = divide(identity,divide(divide(B,A),B)),
    eq_7 ).

cnf(eq_9,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_10,plain,
    divide(identity,inverse(B)) = B,
    inference(cp,[status(thm)],[eq_2,eq_8]) ).

cnf(eq_11,plain,
    A = divide(identity,inverse(A)),
    eq_10 ).

cnf(eq_12,negated_conjecture,
    divide(multiply(inverse(b2),b2),divide(identity,a2)) != a2,
    inference(cp,[status(thm)],[eq_5,eq_4]) ).

cnf(eq_13,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_11,eq_6]) ).

cnf(eq_14,negated_conjecture,
    inverse(inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_9]),eq_6]),eq_3]),eq_6]) ).

cnf(eq_15,negated_conjecture,
    a2 != a2,
    inference(cp,[status(thm)],[eq_13,eq_14]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12  % Command  : run_maedmax %d %s
% 0.12/0.32  % Computer : n016.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Jul 26 04:33:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.51  % SZS status Unsatisfiable
% 0.19/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_1760
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------