%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT087-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n010.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 07:05:44 AM UTC 2025
% Result : Unsatisfiable 2.51s 2.72s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 3 RR)
% Number of literals : 30 ( 29 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 86 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
join(a,meet(a,b)) != a,
file('theBenchmark.p',prove_normal_axioms_8) ).
cnf(c1,axiom,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(W,join(Y,V)),join(U,Y)),Y)),meet(U2,join(Y,meet(meet(join(W,join(Y,V)),join(U,Y)),Y)))),join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
file('theBenchmark.p',single_axiom) ).
cnf(c2,plain,
join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),W),meet(join(meet(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),U)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),U)),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),W))) = join(meet(Y,Z),meet(Z,join(Y,Z))),
inference(equational,[status(thm)],[c1]) ).
cnf(c3,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(join(meet(U,join(join(meet(U2,Y),meet(Y,U3)),Y)),meet(join(meet(Y,meet(meet(join(U2,join(Y,U3)),join(U4,Y)),Y)),meet(U5,join(Y,meet(meet(join(U2,join(Y,U3)),join(U4,Y)),Y)))),join(U,join(join(meet(U2,Y),meet(Y,U3)),Y)))),join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c2]) ).
cnf(c4,plain,
join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c3]) ).
cnf(c5,plain,
join(meet(X,Y),meet(X,join(X,Y))) = X,
inference(equational,[status(thm)],[c4]) ).
cnf(c8,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c2,c4]) ).
cnf(c9,plain,
join(meet(X,join(join(meet(Y,Z),meet(Z,W)),Z)),meet(Z,join(X,join(join(meet(Y,Z),meet(Z,W)),Z)))) = Z,
inference(equational,[status(thm)],[c5,c8]) ).
cnf(c10,plain,
join(meet(X,join(Y,Y)),meet(Y,join(X,join(Y,Y)))) = Y,
inference(equational,[status(thm)],[c5,c9]) ).
cnf(c12,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c8,c9]) ).
cnf(c17,plain,
join(meet(X,join(join(meet(Y,Z),meet(Z,W)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,W)),join(V,Z)),Z)),meet(U,join(Z,meet(meet(join(Y,join(Z,W)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,W)),Z)))) = Z,
inference(equational,[status(thm)],[c1,c5,c8]) ).
cnf(c18,plain,
join(meet(X,meet(meet(join(Y,join(X,Z)),join(W,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(W,X)),X)))) = X,
inference(equational,[status(thm)],[c5,c17]) ).
cnf(c19,plain,
join(meet(X,Y),meet(Y,join(X,Y))) = Y,
inference(equational,[status(thm)],[c12,c18]) ).
cnf(c20,plain,
meet(meet(join(X,join(Y,Z)),join(W,Y)),Y) = Y,
inference(equational,[status(thm)],[c18,c19]) ).
cnf(c21,plain,
join(meet(X,X),join(X,X)) = X,
inference(equational,[status(thm)],[c18,c20]) ).
cnf(c22,plain,
meet(meet(X,join(Y,X)),X) = X,
inference(equational,[status(thm)],[c20,c21]) ).
cnf(c23,plain,
join(meet(X,X),meet(Y,join(X,X))) = X,
inference(equational,[status(thm)],[c18,c20]) ).
cnf(c24,plain,
join(X,X) = X,
inference(equational,[status(thm)],[c10,c23]) ).
cnf(c25,plain,
meet(X,X) = X,
inference(equational,[status(thm)],[c19,c24]) ).
cnf(c26,plain,
join(X,meet(Y,X)) = X,
inference(equational,[status(thm)],[c23,c24,c25]) ).
cnf(c29,plain,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
inference(equational,[status(thm)],[c17,c23]) ).
cnf(c30,plain,
join(meet(X,Y),Y) = Y,
inference(equational,[status(thm)],[c26,c29]) ).
cnf(c31,plain,
join(join(X,meet(X,Y)),X) = X,
inference(equational,[status(thm)],[c22,c29]) ).
cnf(c32,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference(equational,[status(thm)],[c5,c24,c30]) ).
cnf(c33,plain,
meet(join(X,meet(X,Y)),X) = join(X,meet(X,Y)),
inference(equational,[status(thm)],[c5,c24,c31]) ).
cnf(c35,plain,
meet(meet(join(X,Y),join(Z,X)),X) = X,
inference(equational,[status(thm)],[c20,c29]) ).
cnf(c36,plain,
meet(join(X,Y),X) = X,
inference(equational,[status(thm)],[c24,c32,c35]) ).
cnf(c37,plain,
join(X,meet(X,Y)) = X,
inference(equational,[status(thm)],[c33,c36]) ).
cnf(g1,plain,
join(a,meet(a,b)) = a,
inference(equational,[status(thm)],[c37]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT087-1 : TPTP v9.0.0. Released v2.6.0.
% 0.00/0.09 % Command : run_Leo-III %s %d THM
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 14 11:40:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 2.51/2.72 % SZS status Unsatisfiable
% 2.51/2.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------