%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.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 0.37s 0.61s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   6 RR)
%            Number of literals    :   22 (  21 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(B,divide(divide(B,C),A)),C),
    file('/tmp/MaedMax_30009') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_30009') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_30009') ).

cnf(eq_3,axiom,
    divide(A,A) = identity,
    file('/tmp/MaedMax_30009') ).

cnf(eq_4,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_30009') ).

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(divide(B,A),divide(divide(B,C),A)) = C,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_8,plain,
    divide(divide(divide(B,divide(divide(B,C),A)),divide(A,x102)),C) = x102,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_9,plain,
    A = divide(divide(divide(B,divide(divide(B,C),x3)),divide(x3,A)),C),
    eq_8 ).

cnf(eq_10,plain,
    A = divide(divide(B,C),divide(divide(B,A),C)),
    eq_7 ).

cnf(eq_11,plain,
    divide(A,x101) = divide(divide(B,x101),divide(B,A)),
    inference(cp,[status(thm)],[eq_10,eq_9]) ).

cnf(eq_12,plain,
    divide(A,divide(A,x103)) = x103,
    inference(cp,[status(thm)],[eq_0,eq_9]) ).

cnf(eq_13,plain,
    A = divide(B,divide(B,A)),
    eq_12 ).

cnf(eq_14,plain,
    divide(A,B) = divide(divide(C,B),divide(C,A)),
    eq_11 ).

cnf(eq_15,negated_conjecture,
    divide(b,divide(identity,a)) != multiply(a,b),
    inference(cp,[status(thm)],[eq_5,eq_4]) ).

cnf(eq_16,negated_conjecture,
    divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
    inference(rw,[status(thm)],[eq_15,eq_5]) ).

cnf(eq_17,plain,
    divide(A,divide(B,x102)) = divide(x102,divide(B,A)),
    inference(cp,[status(thm)],[eq_13,eq_14]) ).

cnf(eq_18,plain,
    divide(A,divide(B,C)) = divide(C,divide(B,A)),
    eq_17 ).

cnf(eq_19,negated_conjecture,
    divide(a,divide(identity,b)) != divide(a,divide(identity,b)),
    inference(cp,[status(thm)],[eq_18,eq_16]) ).

cnf(eq_20,negated_conjecture,
    divide(a,inverse(b)) != divide(a,inverse(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_6]),eq_6]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:13:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.37/0.61  % SZS status Unsatisfiable
% 0.37/0.61  % SZS output start CNFRefutation for /tmp/MaedMax_30009
% See solution above
% 0.37/0.61  
%------------------------------------------------------------------------------