%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP702-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n012.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 07:03:12 EDT 2022

% Result   : Unsatisfiable 0.43s 0.61s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;  12 RR)
%            Number of literals    :   23 (  22 equ;   6 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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_29194') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_29194') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_29194') ).

cnf(eq_3,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_29194') ).

cnf(eq_4,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_29194') ).

cnf(eq_5,axiom,
    mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
    file('/tmp/MaedMax_29194') ).

cnf(eq_6,axiom,
    ld(A,mult(op_c,A)) = op_d,
    file('/tmp/MaedMax_29194') ).

cnf(eq_7,axiom,
    mult(mult(rd(op_c,mult(A,B)),B),A) = op_e,
    file('/tmp/MaedMax_29194') ).

cnf(eq_8,axiom,
    mult(A,mult(B,ld(mult(A,B),op_c))) = op_f,
    file('/tmp/MaedMax_29194') ).

cnf(eq_9,negated_conjecture,
    mult(mult(x0,op_d),x1) != mult(x0,mult(op_d,x1)),
    file('/tmp/MaedMax_29194') ).

cnf(eq_10,plain,
    op_c = op_d,
    inference(cp,[status(thm)],[eq_1,eq_6]) ).

cnf(eq_11,plain,
    mult(A,mult(unit,ld(A,op_c))) = op_f,
    inference(cp,[status(thm)],[eq_3,eq_8]) ).

cnf(eq_12,plain,
    mult(mult(rd(op_c,A),A),unit) = op_e,
    inference(cp,[status(thm)],[eq_4,eq_7]) ).

cnf(eq_13,plain,
    op_c = op_e,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_3]) ).

cnf(eq_14,plain,
    op_c = op_f,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_4]),eq_0]) ).

cnf(eq_15,plain,
    op_f = op_e,
    inference(cp,[status(thm)],[eq_14,eq_13]) ).

cnf(eq_16,plain,
    op_d = op_f,
    inference(cp,[status(thm)],[eq_10,eq_14]) ).

cnf(eq_17,negated_conjecture,
    mult(x0,mult(op_c,x1)) != mult(mult(x0,op_d),x1),
    inference(cp,[status(thm)],[eq_10,eq_9]) ).

cnf(eq_18,negated_conjecture,
    mult(mult(x0,op_d),x1) != mult(x0,mult(op_c,x1)),
    eq_17 ).

cnf(eq_19,negated_conjecture,
    mult(mult(x0,op_f),x1) != mult(x0,mult(op_f,x1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_16]),eq_14]) ).

cnf(eq_20,negated_conjecture,
    mult(mult(x0,op_e),x1) != mult(x0,mult(op_e,x1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_15]),eq_15]) ).

cnf(eq_21,negated_conjecture,
    mult(x0,mult(op_c,x1)) != mult(x0,mult(op_c,x1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_13]),eq_5]),eq_13]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP702-12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n012.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 04:20:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.61  % SZS status Unsatisfiable
% 0.43/0.61  % SZS output start CNFRefutation for /tmp/MaedMax_29194
% See solution above
% 0.43/0.61  
%------------------------------------------------------------------------------