%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n008.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 1.29s 1.46s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   5 RR)
%            Number of literals    :   20 (  19 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   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   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_13565') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_13565') ).

cnf(eq_2,axiom,
    A = mult(rd(A,B),B),
    file('/tmp/MaedMax_13565') ).

cnf(eq_3,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_13565') ).

cnf(eq_4,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_13565') ).

cnf(eq_5,axiom,
    mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
    file('/tmp/MaedMax_13565') ).

cnf(eq_6,negated_conjecture,
    mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
    file('/tmp/MaedMax_13565') ).

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_4,eq_5]) ).

cnf(eq_8,plain,
    mult(A,mult(A,mult(B,A))) = mult(mult(A,mult(A,B)),A),
    inference(rw,[status(thm)],[eq_7,eq_4]) ).

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

cnf(eq_10,plain,
    rd(mult(B,mult(B,A)),B) = mult(B,mult(B,rd(A,B))),
    inference(cp,[status(thm)],[eq_2,eq_9]) ).

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

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

cnf(eq_13,plain,
    ld(B,rd(mult(B,A),B)) = mult(B,rd(ld(B,A),B)),
    inference(cp,[status(thm)],[eq_0,eq_12]) ).

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

cnf(eq_15,plain,
    mult(mult(x100,mult(A,ld(A,rd(mult(A,B),A)))),A) = mult(mult(x100,A),mult(A,mult(rd(ld(A,B),A),A))),
    inference(cp,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_16,plain,
    mult(mult(A,B),C) = mult(mult(A,rd(mult(B,C),B)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_0]),eq_2]),eq_0]) ).

cnf(eq_17,negated_conjecture,
    mult(mult(a,rd(mult(c,ld(c,mult(b,c))),c)),c) != mult(mult(a,b),c),
    inference(cp,[status(thm)],[eq_16,eq_6]) ).

cnf(eq_18,negated_conjecture,
    mult(mult(a,b),c) != mult(mult(a,b),c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_0]),eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:25:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.29/1.46  % SZS status Unsatisfiable
% 1.29/1.46  % SZS output start CNFRefutation for /tmp/MaedMax_13565
% See solution above
% 1.29/1.46  
%------------------------------------------------------------------------------