%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% 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 07:03:11 EDT 2022

% Result   : Unsatisfiable 0.84s 1.04s
% Output   : CNFRefutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   6 RR)
%            Number of literals    :   19 (  18 equ;   5 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_1990') ).

cnf(eq_1,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_1990') ).

cnf(eq_2,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_1990') ).

cnf(eq_3,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_1990') ).

cnf(eq_4,axiom,
    mult(A,mult(mult(mult(B,A),A),C)) = mult(mult(mult(A,B),A),mult(A,C)),
    file('/tmp/MaedMax_1990') ).

cnf(eq_5,negated_conjecture,
    mult(rd(mult(a,b),a),mult(a,c)) != mult(a,mult(b,c)),
    file('/tmp/MaedMax_1990') ).

cnf(eq_6,plain,
    ld(mult(mult(A,B),A),mult(A,mult(mult(mult(B,A),A),C))) = mult(A,C),
    inference(cp,[status(thm)],[eq_4,eq_0]) ).

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

cnf(eq_8,plain,
    mult(A,mult(mult(B,A),A)) = mult(mult(mult(A,B),A),A),
    inference(rw,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_9,plain,
    rd(mult(A,mult(mult(B,A),A)),A) = mult(mult(A,B),A),
    inference(cp,[status(thm)],[eq_8,eq_2]) ).

cnf(eq_10,plain,
    rd(mult(B,mult(A,B)),B) = mult(mult(B,rd(A,B)),B),
    inference(cp,[status(thm)],[eq_1,eq_9]) ).

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

cnf(eq_12,plain,
    rd(mult(B,A),B) = mult(mult(B,rd(rd(A,B),B)),B),
    inference(cp,[status(thm)],[eq_1,eq_11]) ).

cnf(eq_13,plain,
    mult(mult(A,rd(rd(B,A),A)),A) = rd(mult(A,B),A),
    eq_12 ).

cnf(eq_14,negated_conjecture,
    ld(mult(mult(a,B),a),mult(a,mult(mult(mult(B,a),a),mult(b,c)))) != mult(rd(mult(a,b),a),mult(a,c)),
    inference(cp,[status(thm)],[eq_6,eq_5]) ).

cnf(eq_15,negated_conjecture,
    ld(mult(mult(a,A),a),mult(a,mult(mult(mult(A,a),a),mult(b,c)))) != mult(rd(mult(a,b),a),mult(a,c)),
    eq_14 ).

cnf(eq_16,negated_conjecture,
    mult(mult(mult(a,rd(rd(b,a),a)),a),mult(a,c)) != ld(mult(mult(a,x100),a),mult(a,mult(mult(mult(x100,a),a),mult(b,c)))),
    inference(cp,[status(thm)],[eq_13,eq_15]) ).

cnf(eq_17,negated_conjecture,
    mult(a,mult(b,c)) != mult(a,mult(b,c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_4]),eq_1]),eq_1]),eq_6]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n010.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 04:14:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.84/1.04  % SZS status Unsatisfiable
% 0.84/1.04  % SZS output start CNFRefutation for /tmp/MaedMax_1990
% See solution above
% 0.84/1.04  
%------------------------------------------------------------------------------