%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT092-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n007.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 07:05:45 AM UTC 2025
% Result : Unsatisfiable 1.22s 1.45s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 19 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
meet(a,a) != a,
file('theBenchmark.p',prove_wal_axioms_1) ).
cnf(c1,axiom,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,W),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,W),join(V,Y)),Y)),meet(U,join(Y,meet(meet(join(Y,W),join(V,Y)),Y)))),join(X,join(join(meet(Y,W),meet(V,Y)),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(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(U,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(U,join(meet(Y,Z),meet(Z,join(Y,Z))))),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(Y,W),meet(V,Y)),Y)),meet(join(meet(U,join(join(meet(Y,U2),meet(U3,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U2),join(U3,Y)),Y)),meet(U4,join(Y,meet(meet(join(Y,U2),join(U3,Y)),Y)))),join(U,join(join(meet(Y,U2),meet(U3,Y)),Y)))),join(X,join(join(meet(Y,W),meet(V,Y)),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(Y,W),meet(V,Y)),Y)),meet(Y,join(X,join(join(meet(Y,W),meet(V,Y)),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(W,Y)),Y)),meet(Y,join(X,join(join(meet(Y,Z),meet(W,Y)),Y)))) = Y,
inference(equational,[status(thm)],[c5,c8]) ).
cnf(c10,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(c14,plain,
join(meet(X,join(join(meet(Y,Z),meet(W,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,Z),join(W,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,Z),join(W,Y)),Y)))),join(X,join(join(meet(Y,Z),meet(W,Y)),Y)))) = Y,
inference(equational,[status(thm)],[c1,c5,c8]) ).
cnf(c15,plain,
join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(W,join(X,meet(meet(join(X,Y),join(Z,X)),X)))) = X,
inference(equational,[status(thm)],[c5,c14]) ).
cnf(c16,plain,
join(meet(X,Y),meet(Y,join(X,Y))) = Y,
inference(equational,[status(thm)],[c10,c15]) ).
cnf(c17,plain,
meet(meet(join(X,Y),join(Z,X)),X) = X,
inference(equational,[status(thm)],[c15,c16]) ).
cnf(c19,plain,
join(meet(X,X),meet(Y,join(X,X))) = X,
inference(equational,[status(thm)],[c15,c17]) ).
cnf(c20,plain,
join(join(meet(X,Y),meet(Z,X)),X) = X,
inference(equational,[status(thm)],[c9,c19]) ).
cnf(c21,plain,
meet(meet(join(X,Y),X),X) = X,
inference(equational,[status(thm)],[c17,c20]) ).
cnf(c24,plain,
meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(equational,[status(thm)],[c5,c21]) ).
cnf(c25,plain,
meet(X,X) = X,
inference(equational,[status(thm)],[c21,c24]) ).
cnf(g1,plain,
meet(a,a) = a,
inference(equational,[status(thm)],[c25]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT092-1 : TPTP v9.0.0. Released v2.6.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n007.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 11:40:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 1.22/1.45 % SZS status Unsatisfiable
% 1.22/1.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------