%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 3.14s 3.36s
% Output : CNFRefutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 equ; 2 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_24335') ).
cnf(eq_1,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_24335') ).
cnf(eq_2,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_24335') ).
cnf(eq_3,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_24335') ).
cnf(eq_4,negated_conjecture,
join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)),
file('/tmp/MaedMax_24335') ).
cnf(eq_5,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_5 ).
cnf(eq_7,plain,
composition(converse(x100),join(A,converse(B))) = converse(composition(join(converse(A),B),x100)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_8,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_7,eq_0]),eq_2]),eq_3]),eq_3]),eq_1]) ).
cnf(eq_9,plain,
join(composition(converse(converse(A)),x101),composition(A,converse(x102))) = composition(converse(converse(A)),join(x101,converse(x102))),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_10,plain,
join(composition(A,B),composition(A,converse(C))) = composition(A,join(B,converse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_1]) ).
cnf(eq_11,plain,
join(composition(x100,x101),composition(x100,A)) = composition(x100,join(x101,converse(converse(A)))),
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_12,plain,
join(composition(A,B),composition(A,C)) = composition(A,join(B,C)),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_13,negated_conjecture,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(cp,[status(thm)],[eq_12,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : run_maedmax %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Jul 26 05:47:35 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.14/3.36 % SZS status Unsatisfiable
% 3.14/3.36 % SZS output start CNFRefutation for /tmp/MaedMax_24335
% See solution above
% 3.14/3.36
%------------------------------------------------------------------------------