%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT017-1 : TPTP v9.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 15 07:05:38 AM UTC 2025
% Result : Unsatisfiable 266.05s 265.91s
% Output : CNFRefutation 266.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 3 RR)
% Number of literals : 35 ( 34 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 77 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
file('theBenchmark.p',prove_e2) ).
cnf(c1,axiom,
complement(complement(X)) = X,
file('LAT003-0.ax',complement_involution) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('LAT003-0.ax',commutativity_of_meet) ).
cnf(c3,axiom,
join(X,Y) = join(Y,X),
file('LAT003-0.ax',commutativity_of_join) ).
cnf(c4,axiom,
join(complement(X),X) = n1,
file('LAT003-0.ax',top) ).
cnf(c5,plain,
join(X,complement(X)) = n1,
inference(equational,[status(thm)],[c3,c4]) ).
cnf(c8,axiom,
join(X,meet(X,Y)) = X,
file('LAT003-0.ax',absorption2) ).
cnf(c16,axiom,
join(join(X,Y),Z) = join(X,join(Y,Z)),
file('LAT003-0.ax',associativity_of_join) ).
cnf(c17,axiom,
meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('LAT003-0.ax',associativity_of_meet) ).
cnf(c18,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(equational,[status(thm)],[c2,c17]) ).
cnf(c19,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(equational,[status(thm)],[c3,c16]) ).
cnf(c21,axiom,
meet(X,Y) = complement(join(complement(X),complement(Y))),
file('LAT003-0.ax',meet_complement) ).
cnf(c22,plain,
complement(join(complement(X),complement(Y))) = meet(X,Y),
inference(equational,[status(thm)],[c21]) ).
cnf(c25,plain,
complement(join(complement(X),Y)) = meet(X,complement(Y)),
inference(equational,[status(thm)],[c1,c22]) ).
cnf(c26,plain,
join(complement(X),complement(Y)) = complement(meet(X,Y)),
inference(equational,[status(thm)],[c1,c22]) ).
cnf(c27,plain,
complement(join(X,complement(Y))) = meet(complement(X),Y),
inference(equational,[status(thm)],[c1,c22]) ).
cnf(c35,plain,
meet(complement(X),complement(Y)) = complement(join(X,Y)),
inference(equational,[status(thm)],[c1,c27]) ).
cnf(c47,plain,
complement(meet(X,join(X,Y))) = complement(X),
inference(equational,[status(thm)],[c8,c26,c35]) ).
cnf(c48,plain,
meet(X,join(X,Y)) = X,
inference(equational,[status(thm)],[c1,c47]) ).
cnf(c49,plain,
meet(X,join(Y,X)) = X,
inference(equational,[status(thm)],[c3,c48]) ).
cnf(c57,plain,
join(X,join(Y,complement(join(X,Y)))) = n1,
inference(equational,[status(thm)],[c5,c16]) ).
cnf(c65,plain,
join(complement(X),join(Y,complement(Z))) = join(Y,complement(meet(X,Z))),
inference(equational,[status(thm)],[c19,c26]) ).
cnf(c67,plain,
join(meet(X,complement(Y)),complement(Z)) = complement(meet(join(complement(X),Y),Z)),
inference(equational,[status(thm)],[c25,c26]) ).
cnf(c72,plain,
join(complement(X),meet(complement(Y),Z)) = complement(meet(X,join(Y,complement(Z)))),
inference(equational,[status(thm)],[c26,c27]) ).
cnf(c73,plain,
join(meet(complement(X),Y),complement(Z)) = complement(meet(join(X,complement(Y)),Z)),
inference(equational,[status(thm)],[c26,c27]) ).
cnf(c88,plain,
meet(X,meet(join(X,Y),Z)) = meet(X,Z),
inference(equational,[status(thm)],[c1,c17,c22,c26,c47]) ).
cnf(c93,plain,
join(meet(X,Y),meet(X,meet(Y,Z))) = meet(X,Y),
inference(equational,[status(thm)],[c8,c17]) ).
cnf(c118,plain,
join(meet(X,Y),meet(Y,meet(Z,X))) = meet(X,Y),
inference(equational,[status(thm)],[c2,c17,c93]) ).
cnf(c146,plain,
join(meet(X,Y),meet(Z,meet(Y,X))) = meet(X,Y),
inference(equational,[status(thm)],[c18,c118]) ).
cnf(c353,plain,
join(meet(X,Y),meet(Y,join(X,Z))) = meet(Y,join(X,Z)),
inference(equational,[status(thm)],[c3,c88,c146]) ).
cnf(c406,plain,
join(X,join(Y,join(Z,complement(join(X,join(Y,Z)))))) = n1,
inference(equational,[status(thm)],[c16,c57]) ).
cnf(c633,plain,
join(X,meet(join(Y,X),join(X,Z))) = meet(join(Y,X),join(X,Z)),
inference(equational,[status(thm)],[c49,c353]) ).
cnf(c1134,plain,
join(X,complement(meet(Y,meet(Z,join(X,complement(meet(Y,Z))))))) = n1,
inference(equational,[status(thm)],[c27,c65,c72,c406]) ).
cnf(g1,plain,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1,
inference(equational,[status(thm)],[c2,c3,c17,c35,c67,c73,c633,c1134]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT017-1 : TPTP v9.0.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n008.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 : Mon Jul 14 11:33:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 266.05/265.91 % SZS status Unsatisfiable
% 266.05/265.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------