%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 07:02:54 EDT 2022

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;   7 RR)
%            Number of literals    :   32 (  31 equ;   3 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(identity,divide(B,C)),divide(divide(C,A),B)),
    file('/tmp/MaedMax_5545') ).

cnf(eq_1,axiom,
    divide(A,divide(identity,B)) = multiply(A,B),
    file('/tmp/MaedMax_5545') ).

cnf(eq_2,axiom,
    divide(identity,A) = inverse(A),
    file('/tmp/MaedMax_5545') ).

cnf(eq_3,axiom,
    identity = divide(A,A),
    file('/tmp/MaedMax_5545') ).

cnf(eq_4,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_5545') ).

cnf(eq_5,plain,
    A = divide(inverse(divide(B,C)),divide(divide(C,A),B)),
    inference(rw,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_7,negated_conjecture,
    divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]) ).

cnf(eq_8,plain,
    divide(divide(identity,identity),divide(divide(A,x102),A)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_9,plain,
    divide(divide(identity,divide(divide(divide(C,A),B),identity)),A) = divide(B,C),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_10,plain,
    divide(divide(identity,divide(divide(x101,x102),x101)),identity) = x102,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_11,plain,
    divide(A,B) = divide(divide(identity,divide(divide(divide(B,C),A),identity)),C),
    eq_9 ).

cnf(eq_12,plain,
    A = divide(divide(identity,divide(divide(B,A),B)),identity),
    eq_10 ).

cnf(eq_13,plain,
    A = divide(identity,divide(divide(B,A),B)),
    inference(rw,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_14,plain,
    A = divide(A,identity),
    inference(rw,[status(thm)],[eq_12,eq_13]) ).

cnf(eq_15,plain,
    divide(identity,divide(identity,A)) = A,
    inference(cp,[status(thm)],[eq_3,eq_13]) ).

cnf(eq_16,plain,
    divide(divide(identity,divide(identity,identity)),x101) = divide(divide(x100,x101),x100),
    inference(cp,[status(thm)],[eq_3,eq_11]) ).

cnf(eq_17,plain,
    A = divide(identity,divide(identity,A)),
    eq_15 ).

cnf(eq_18,plain,
    divide(identity,A) = divide(divide(B,A),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_3]),eq_3]) ).

cnf(eq_19,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_2]),eq_2]) ).

cnf(eq_20,plain,
    divide(divide(A,B),A) = inverse(B),
    inference(rw,[status(thm)],[eq_18,eq_2]) ).

cnf(eq_21,plain,
    divide(inverse(divide(identity,x101)),divide(x101,x102)) = x102,
    inference(cp,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_22,plain,
    divide(multiply(A,B),A) = inverse(inverse(B)),
    inference(cp,[status(thm)],[eq_6,eq_20]) ).

cnf(eq_23,plain,
    A = divide(multiply(B,A),B),
    inference(rw,[status(thm)],[eq_22,eq_19]) ).

cnf(eq_24,plain,
    A = divide(B,divide(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_2]),eq_19]) ).

cnf(eq_25,plain,
    divide(divide(A,B),inverse(B)) = A,
    inference(cp,[status(thm)],[eq_20,eq_24]) ).

cnf(eq_26,plain,
    A = divide(divide(A,B),inverse(B)),
    eq_25 ).

cnf(eq_27,plain,
    A = multiply(divide(A,B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_2]),eq_1]) ).

cnf(eq_28,plain,
    multiply(A,B) = multiply(B,A),
    inference(cp,[status(thm)],[eq_23,eq_27]) ).

cnf(eq_29,plain,
    divide(A,divide(identity,B)) = divide(B,divide(identity,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_1]),eq_1]) ).

cnf(eq_30,negated_conjecture,
    divide(b,divide(identity,a)) != divide(b,divide(identity,a)),
    inference(cp,[status(thm)],[eq_29,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.00/0.12  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 04:18:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/0.64  % SZS status Unsatisfiable
% 0.46/0.64  % SZS output start CNFRefutation for /tmp/MaedMax_5545
% See solution above
% 0.46/0.64  
%------------------------------------------------------------------------------