%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : REL008-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n011.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 07:11:33 EDT 2022

% Result   : Unsatisfiable 5.71s 5.97s
% Output   : CNFRefutation 5.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   4 RR)
%            Number of literals    :   17 (  16 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    join(A,B) = join(B,A),
    file('/tmp/MaedMax_30420') ).

cnf(eq_1,axiom,
    join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
    file('/tmp/MaedMax_30420') ).

cnf(eq_2,axiom,
    A = converse(converse(A)),
    file('/tmp/MaedMax_30420') ).

cnf(eq_3,axiom,
    join(converse(A),converse(B)) = converse(join(A,B)),
    file('/tmp/MaedMax_30420') ).

cnf(eq_4,axiom,
    composition(converse(A),converse(B)) = converse(composition(B,A)),
    file('/tmp/MaedMax_30420') ).

cnf(eq_5,negated_conjecture,
    join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)),
    file('/tmp/MaedMax_30420') ).

cnf(eq_6,negated_conjecture,
    join(composition(sk1,sk3),composition(sk1,sk2)) != composition(sk1,join(sk3,sk2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_0]),eq_0]) ).

cnf(eq_7,plain,
    join(A,converse(x101)) = converse(join(converse(A),x101)),
    inference(cp,[status(thm)],[eq_2,eq_3]) ).

cnf(eq_8,plain,
    join(A,converse(B)) = converse(join(converse(A),B)),
    eq_7 ).

cnf(eq_9,plain,
    composition(converse(x100),join(A,converse(B))) = converse(composition(join(converse(A),B),x100)),
    inference(cp,[status(thm)],[eq_8,eq_4]) ).

cnf(eq_10,plain,
    join(composition(converse(A),B),composition(converse(A),converse(C))) = composition(converse(A),join(B,converse(C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_3]),eq_4]),eq_4]),eq_2]) ).

cnf(eq_11,plain,
    join(composition(converse(converse(A)),x101),composition(A,converse(x102))) = composition(converse(converse(A)),join(x101,converse(x102))),
    inference(cp,[status(thm)],[eq_2,eq_10]) ).

cnf(eq_12,plain,
    join(composition(A,B),composition(A,converse(C))) = composition(A,join(B,converse(C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_2]) ).

cnf(eq_13,plain,
    join(composition(x100,x101),composition(x100,A)) = composition(x100,join(x101,converse(converse(A)))),
    inference(cp,[status(thm)],[eq_2,eq_12]) ).

cnf(eq_14,plain,
    join(composition(A,B),composition(A,C)) = composition(A,join(B,C)),
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_15,negated_conjecture,
    composition(sk1,join(sk3,sk2)) != composition(sk1,join(sk3,sk2)),
    inference(cp,[status(thm)],[eq_14,eq_6]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : REL008-3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 05:40:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 5.71/5.97  % SZS status Unsatisfiable
% 5.71/5.97  % SZS output start CNFRefutation for /tmp/MaedMax_30420
% See solution above
% 5.71/5.97  
%------------------------------------------------------------------------------