%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n021.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 06:57:41 EDT 2022

% Result   : Unsatisfiable 0.43s 0.60s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   3 RR)
%            Number of literals    :   13 (  12 equ;   2 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;   5 con; 0-3 aty)
%            Number of variables   :   24 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(V,W,multiply(X,Y,Z)) = multiply(multiply(V,W,X),Y,multiply(V,W,Z)),
    file('/tmp/MaedMax_12162') ).

cnf(eq_1,axiom,
    V = multiply(W,V,V),
    file('/tmp/MaedMax_12162') ).

cnf(eq_2,axiom,
    V = multiply(V,W,inverse(W)),
    file('/tmp/MaedMax_12162') ).

cnf(eq_3,negated_conjecture,
    inverse(inverse(a)) != a,
    file('/tmp/MaedMax_12162') ).

cnf(eq_4,plain,
    multiply(multiply(V,W,x102),x103,V) = multiply(V,W,multiply(x102,x103,inverse(W))),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_5,plain,
    multiply(V,W,multiply(X,Y,inverse(W))) = multiply(multiply(V,W,X),Y,V),
    eq_4 ).

cnf(eq_6,plain,
    multiply(x100,x101,inverse(x101)) = multiply(multiply(x100,x101,W),inverse(x101),x100),
    inference(cp,[status(thm)],[eq_1,eq_5]) ).

cnf(eq_7,plain,
    V = multiply(multiply(V,W,X),inverse(W),V),
    inference(rw,[status(thm)],[eq_6,eq_2]) ).

cnf(eq_8,plain,
    multiply(V,inverse(V),W) = W,
    inference(cp,[status(thm)],[eq_1,eq_7]) ).

cnf(eq_9,plain,
    V = multiply(W,inverse(W),V),
    eq_8 ).

cnf(eq_10,plain,
    V = inverse(inverse(V)),
    inference(cp,[status(thm)],[eq_2,eq_9]) ).

cnf(eq_11,negated_conjecture,
    a != a,
    inference(rw,[status(thm)],[eq_3,eq_10]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n021.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 03:20:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.60  % SZS status Unsatisfiable
% 0.43/0.60  % SZS output start CNFRefutation for /tmp/MaedMax_12162
% See solution above
% 0.43/0.60  
%------------------------------------------------------------------------------