%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n024.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 07:03:11 EDT 2022

% Result   : Unsatisfiable 0.70s 0.92s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;   5 RR)
%            Number of literals    :   23 (  22 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_22815') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_22815') ).

cnf(eq_2,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_22815') ).

cnf(eq_3,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_22815') ).

cnf(eq_4,axiom,
    mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
    file('/tmp/MaedMax_22815') ).

cnf(eq_5,negated_conjecture,
    tuple(mult(A,x0),mult(x0,A)) != tuple(unit,unit),
    file('/tmp/MaedMax_22815') ).

cnf(eq_6,plain,
    ld(A,A) = unit,
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_7,plain,
    mult(mult(x101,mult(x101,x102)),x101) = mult(mult(unit,x101),mult(x101,mult(x102,x101))),
    inference(cp,[status(thm)],[eq_3,eq_4]) ).

cnf(eq_8,plain,
    mult(mult(x100,mult(A,A)),A) = mult(mult(x100,A),mult(A,mult(unit,A))),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_9,plain,
    mult(mult(A,B),mult(B,B)) = mult(mult(A,mult(B,B)),B),
    inference(rw,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_10,plain,
    mult(A,mult(A,mult(B,A))) = mult(mult(A,mult(A,B)),A),
    inference(rw,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_11,negated_conjecture,
    tuple(mult(ld(x0,A),x0),A) != tuple(unit,unit),
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_12,plain,
    ld(mult(A,mult(B,B)),mult(mult(A,B),mult(B,B))) = B,
    inference(cp,[status(thm)],[eq_9,eq_1]) ).

cnf(eq_13,plain,
    mult(mult(B,A),B) = mult(B,mult(B,mult(ld(B,A),B))),
    inference(cp,[status(thm)],[eq_0,eq_10]) ).

cnf(eq_14,plain,
    mult(A,mult(A,mult(ld(A,B),A))) = mult(mult(A,B),A),
    eq_13 ).

cnf(eq_15,plain,
    A = ld(mult(B,mult(A,A)),mult(mult(B,A),mult(A,A))),
    eq_12 ).

cnf(eq_16,plain,
    mult(A,A) = mult(A,mult(A,mult(ld(A,unit),A))),
    inference(cp,[status(thm)],[eq_2,eq_14]) ).

cnf(eq_17,plain,
    ld(A,mult(A,A)) = mult(A,mult(ld(A,unit),A)),
    inference(cp,[status(thm)],[eq_16,eq_1]) ).

cnf(eq_18,plain,
    A = mult(A,mult(ld(A,unit),A)),
    inference(rw,[status(thm)],[eq_17,eq_1]) ).

cnf(eq_19,plain,
    ld(mult(A,mult(mult(ld(A,unit),A),mult(ld(A,unit),A))),mult(A,mult(mult(ld(A,unit),A),mult(ld(A,unit),A)))) = mult(ld(A,unit),A),
    inference(cp,[status(thm)],[eq_18,eq_15]) ).

cnf(eq_20,plain,
    mult(ld(A,unit),A) = unit,
    inference(rw,[status(thm)],[eq_19,eq_6]) ).

cnf(eq_21,negated_conjecture,
    tuple(unit,unit) != tuple(unit,unit),
    inference(cp,[status(thm)],[eq_20,eq_11]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n024.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 04:20:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.70/0.92  % SZS status Unsatisfiable
% 0.70/0.92  % SZS output start CNFRefutation for /tmp/MaedMax_22815
% See solution above
% 0.70/0.92  
%------------------------------------------------------------------------------