%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n010.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 07:03:10 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   4 RR)
%            Number of literals    :   18 (  17 equ;   3 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;   6 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = rd(mult(A,A),A),
    file('/tmp/MaedMax_6725') ).

cnf(eq_1,axiom,
    mult(rd(A,B),B) = rd(mult(A,B),B),
    file('/tmp/MaedMax_6725') ).

cnf(eq_2,axiom,
    mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),rd(D,C)),rd(D,C)),
    file('/tmp/MaedMax_6725') ).

cnf(eq_3,negated_conjecture,
    rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8),
    file('/tmp/MaedMax_6725') ).

cnf(eq_4,plain,
    A = mult(rd(A,A),A),
    inference(rw,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_5,plain,
    mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),rd(D,C)),rd(D,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).

cnf(eq_6,negated_conjecture,
    mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_1]),eq_1]) ).

cnf(eq_7,plain,
    rd(mult(mult(x100,x101),rd(mult(A,A),A)),A) = mult(x100,rd(mult(x101,A),A)),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_8,plain,
    mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),C),C),
    inference(rw,[status(thm)],[eq_7,eq_0]) ).

cnf(eq_9,plain,
    mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),C),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_1]),eq_1]) ).

cnf(eq_10,plain,
    mult(rd(A,x102),x102) = mult(rd(A,A),mult(rd(A,x102),x102)),
    inference(cp,[status(thm)],[eq_4,eq_9]) ).

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

cnf(eq_12,plain,
    mult(A,rd(mult(B,C),C)) = mult(A,rd(mult(B,rd(D,C)),rd(D,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_1]),eq_1]),eq_8]) ).

cnf(eq_13,plain,
    mult(rd(A,A),rd(mult(A,B),B)) = rd(mult(A,B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_1]),eq_1]) ).

cnf(eq_14,plain,
    mult(rd(B,B),rd(mult(B,rd(D,C)),rd(D,C))) = rd(mult(B,C),C),
    inference(cp,[status(thm)],[eq_12,eq_13]) ).

cnf(eq_15,plain,
    rd(mult(A,B),B) = rd(mult(A,rd(C,B)),rd(C,B)),
    inference(rw,[status(thm)],[eq_14,eq_13]) ).

cnf(eq_16,negated_conjecture,
    rd(mult(x6,x8),x8) != rd(mult(x6,x8),x8),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_15]),eq_1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.11  % Command  : run_maedmax %d %s
% 0.11/0.31  % Computer : n010.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Tue Jul 26 04:16:10 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.47/0.65  % SZS status Unsatisfiable
% 0.47/0.65  % SZS output start CNFRefutation for /tmp/MaedMax_6725
% See solution above
% 0.47/0.65  
%------------------------------------------------------------------------------