%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 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 07:05:27 EDT 2022
% Result : Unsatisfiable 0.54s 0.77s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 13 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_16069') ).
cnf(eq_1,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_16069') ).
cnf(eq_2,axiom,
join(complement(X),X) = n1,
file('/tmp/MaedMax_16069') ).
cnf(eq_3,axiom,
X = complement(complement(X)),
file('/tmp/MaedMax_16069') ).
cnf(eq_4,axiom,
meet(join(X,Y),join(X,Z)) = join(X,meet(Y,join(X,Z))),
file('/tmp/MaedMax_16069') ).
cnf(eq_5,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/tmp/MaedMax_16069') ).
cnf(eq_6,plain,
meet(complement(X),n1) = complement(X),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_7,plain,
join(X,complement(X)) = n1,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_8,plain,
meet(n1,complement(X)) = complement(X),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_9,negated_conjecture,
join(a,meet(join(a,b),complement(a))) != join(a,b),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_10,plain,
meet(n1,X) = complement(complement(X)),
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_11,plain,
X = meet(n1,X),
inference(rw,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_12,negated_conjecture,
join(a,b) != join(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_4]),eq_7]),eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n022.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 05:08:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.54/0.77 % SZS status Unsatisfiable
% 0.54/0.77 % SZS output start CNFRefutation for /tmp/MaedMax_16069
% See solution above
% 0.54/0.77
%------------------------------------------------------------------------------