%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT090-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n002.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 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 equ; 1 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
join(a,a) != a,
file('theBenchmark.p',prove_normal_axioms_3) ).
cnf(c1,axiom,
join(meet(X,Y),meet(X,join(X,Y))) = X,
file('theBenchmark.p',wal_absorbtion_1) ).
cnf(c2,axiom,
join(meet(X,X),meet(Y,join(X,X))) = X,
file('theBenchmark.p',wal_absorbtion_2) ).
cnf(c4,axiom,
meet(meet(join(X,Y),join(Z,X)),X) = X,
file('theBenchmark.p',wal_absorbtion_4) ).
cnf(c6,axiom,
join(join(meet(X,Y),meet(Z,X)),X) = X,
file('theBenchmark.p',wal_absorbtion_5) ).
cnf(c7,plain,
meet(meet(join(X,Y),X),X) = X,
inference(equational,[status(thm)],[c4,c6]) ).
cnf(c8,plain,
join(join(meet(X,Y),X),X) = X,
inference(equational,[status(thm)],[c4,c6]) ).
cnf(c12,plain,
meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(equational,[status(thm)],[c1,c7]) ).
cnf(c13,plain,
meet(X,X) = X,
inference(equational,[status(thm)],[c7,c12]) ).
cnf(c14,plain,
join(X,join(X,X)) = X,
inference(equational,[status(thm)],[c2,c13]) ).
cnf(c15,plain,
meet(join(X,X),X) = X,
inference(equational,[status(thm)],[c4,c13]) ).
cnf(c16,plain,
join(X,X) = X,
inference(equational,[status(thm)],[c8,c14,c15]) ).
cnf(g1,plain,
join(a,a) = a,
inference(equational,[status(thm)],[c16]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT090-1 : TPTP v9.0.0. Released v2.6.0.
% 0.00/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 11:40:34 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------