%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP715-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n025.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 07:03:13 EDT 2022

% Result   : Unsatisfiable 3.71s 3.96s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (  27 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (  26 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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    mult(A,mult(mult(B,C),B)) = mult(mult(mult(A,B),C),B),
    file('/tmp/MaedMax_30328') ).

cnf(eq_1,axiom,
    mult(A,mult(B,B)) = mult(mult(A,B),B),
    file('/tmp/MaedMax_30328') ).

cnf(eq_2,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_30328') ).

cnf(eq_3,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_30328') ).

cnf(eq_4,axiom,
    mult(op_a,op_b) = unit,
    file('/tmp/MaedMax_30328') ).

cnf(eq_5,axiom,
    mult(op_b,op_a) = unit,
    file('/tmp/MaedMax_30328') ).

cnf(eq_6,negated_conjecture,
    mult(mult(x0,op_a),op_b) != x0,
    file('/tmp/MaedMax_30328') ).

cnf(eq_7,plain,
    mult(x100,mult(op_b,op_a)) = x100,
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_8,plain,
    mult(unit,op_a) = mult(op_b,mult(op_a,op_a)),
    inference(cp,[status(thm)],[eq_5,eq_1]) ).

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

cnf(eq_10,plain,
    mult(mult(unit,x102),op_b) = mult(op_a,mult(mult(op_b,x102),op_b)),
    inference(cp,[status(thm)],[eq_4,eq_0]) ).

cnf(eq_11,plain,
    mult(mult(unit,x102),op_a) = mult(op_b,mult(mult(op_a,x102),op_a)),
    inference(cp,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_12,plain,
    mult(op_a,op_b) = mult(op_b,op_a),
    inference(cp,[status(thm)],[eq_4,eq_5]) ).

cnf(eq_13,plain,
    mult(A,op_b) = mult(op_a,mult(mult(op_b,A),op_b)),
    inference(rw,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_14,plain,
    mult(op_b,mult(op_a,op_a)) = op_a,
    inference(rw,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_15,plain,
    mult(A,op_a) = mult(op_b,mult(mult(op_a,A),op_a)),
    inference(rw,[status(thm)],[eq_11,eq_3]) ).

cnf(eq_16,plain,
    mult(op_a,mult(op_a,op_b)) = mult(mult(op_a,op_a),op_b),
    inference(cp,[status(thm)],[eq_14,eq_13]) ).

cnf(eq_17,plain,
    mult(op_b,mult(op_a,mult(op_a,op_a))) = mult(op_a,op_a),
    inference(cp,[status(thm)],[eq_1,eq_15]) ).

cnf(eq_18,plain,
    A = mult(A,mult(op_b,op_a)),
    eq_7 ).

cnf(eq_19,plain,
    mult(mult(op_a,op_a),op_b) = op_a,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_4]),eq_2]) ).

cnf(eq_20,plain,
    mult(mult(x100,mult(op_a,mult(op_a,op_a))),op_b) = mult(mult(x100,mult(op_a,op_a)),mult(mult(op_b,mult(op_a,op_a)),op_b)),
    inference(cp,[status(thm)],[eq_19,eq_9]) ).

cnf(eq_21,plain,
    mult(A,mult(op_a,op_a)) = mult(mult(A,mult(op_a,mult(op_a,op_a))),op_b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_14]),eq_4]),eq_2]) ).

cnf(eq_22,plain,
    mult(A,mult(mult(op_b,mult(op_a,mult(op_a,op_a))),op_b)) = mult(mult(A,op_b),mult(op_a,op_a)),
    inference(cp,[status(thm)],[eq_0,eq_21]) ).

cnf(eq_23,plain,
    mult(A,op_a) = mult(mult(A,op_b),mult(op_a,op_a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_17]),eq_19]) ).

cnf(eq_24,negated_conjecture,
    mult(mult(mult(x0,op_b),mult(op_a,op_a)),op_b) != x0,
    inference(cp,[status(thm)],[eq_23,eq_6]) ).

cnf(eq_25,negated_conjecture,
    x0 != x0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_0]),eq_14]),eq_12]),eq_18]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP715-10 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n025.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 04:29:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.71/3.96  % SZS status Unsatisfiable
% 3.71/3.96  % SZS output start CNFRefutation for /tmp/MaedMax_30328
% See solution above
% 3.71/3.96  
%------------------------------------------------------------------------------