%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n022.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 07:03:09 EDT 2022

% Result   : Unsatisfiable 61.62s 61.84s
% Output   : CNFRefutation 61.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   4 RR)
%            Number of literals    :   18 (  17 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_18508') ).

cnf(eq_1,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_18508') ).

cnf(eq_2,axiom,
    mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
    file('/tmp/MaedMax_18508') ).

cnf(eq_3,axiom,
    A = mult(i(B),mult(B,A)),
    file('/tmp/MaedMax_18508') ).

cnf(eq_4,axiom,
    mult(A,op_c) = mult(op_c,A),
    file('/tmp/MaedMax_18508') ).

cnf(eq_5,negated_conjecture,
    mult(i(op_c),a) != mult(a,i(op_c)),
    file('/tmp/MaedMax_18508') ).

cnf(eq_6,plain,
    mult(i(A),A) = unit,
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_7,plain,
    mult(i(B),A) = ld(B,A),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_8,plain,
    A = mult(ld(op_c,A),op_c),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_9,plain,
    ld(A,B) = mult(i(A),B),
    eq_7 ).

cnf(eq_10,plain,
    mult(x100,mult(i(A),A)) = x100,
    inference(cp,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_11,plain,
    A = mult(A,mult(i(B),B)),
    eq_10 ).

cnf(eq_12,plain,
    mult(mult(i(op_c),B),op_c) = B,
    inference(cp,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_13,plain,
    A = mult(mult(i(op_c),A),op_c),
    eq_12 ).

cnf(eq_14,plain,
    mult(x101,i(op_c)) = mult(i(op_c),mult(x101,mult(i(op_c),op_c))),
    inference(cp,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_15,plain,
    mult(A,i(op_c)) = mult(i(op_c),A),
    inference(rw,[status(thm)],[eq_14,eq_11]) ).

cnf(eq_16,negated_conjecture,
    mult(a,i(op_c)) != mult(a,i(op_c)),
    inference(cp,[status(thm)],[eq_15,eq_5]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 04:22:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 61.62/61.84  % SZS status Unsatisfiable
% 61.62/61.84  % SZS output start CNFRefutation for /tmp/MaedMax_18508
% See solution above
% 61.62/61.84  
%------------------------------------------------------------------------------