%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT091-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n016.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 0.91s 1.17s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% 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 : 5 ( 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 : 64 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
join(b,a) != join(a,b),
file('theBenchmark.p',prove_normal_axioms_4) ).
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(c3,axiom,
join(meet(X,Y),meet(Y,join(X,Y))) = Y,
file('theBenchmark.p',wal_absorbtion_3) ).
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(c10,plain,
meet(meet(X,meet(Y,X)),meet(Y,X)) = meet(Y,X),
inference(equational,[status(thm)],[c3,c7]) ).
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(c17,plain,
join(X,meet(Y,X)) = X,
inference(equational,[status(thm)],[c2,c13,c16]) ).
cnf(c18,plain,
meet(meet(X,join(Y,X)),X) = X,
inference(equational,[status(thm)],[c4,c14]) ).
cnf(c21,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference(equational,[status(thm)],[c3,c4]) ).
cnf(c22,plain,
meet(X,meet(Y,X)) = meet(Y,X),
inference(equational,[status(thm)],[c2,c13,c16,c21]) ).
cnf(c23,plain,
join(meet(X,Y),Y) = Y,
inference(equational,[status(thm)],[c1,c13,c17,c22]) ).
cnf(c24,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference(equational,[status(thm)],[c1,c16,c23]) ).
cnf(c25,plain,
meet(join(X,Y),X) = X,
inference(equational,[status(thm)],[c7,c24]) ).
cnf(c28,plain,
meet(X,join(meet(X,Y),X)) = join(meet(X,Y),X),
inference(equational,[status(thm)],[c8,c25]) ).
cnf(c29,plain,
meet(join(meet(X,Y),X),X) = X,
inference(equational,[status(thm)],[c18,c28]) ).
cnf(c30,plain,
join(meet(X,Y),X) = X,
inference(equational,[status(thm)],[c1,c8,c16,c29]) ).
cnf(c31,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference(equational,[status(thm)],[c1,c16,c30]) ).
cnf(c32,plain,
join(X,join(X,Y)) = join(X,Y),
inference(equational,[status(thm)],[c25,c30]) ).
cnf(c33,plain,
meet(X,join(X,Y)) = X,
inference(equational,[status(thm)],[c1,c16,c32]) ).
cnf(c35,plain,
meet(X,join(Y,X)) = X,
inference(equational,[status(thm)],[c18,c31]) ).
cnf(c36,plain,
meet(join(X,Y),Y) = Y,
inference(equational,[status(thm)],[c10,c24,c35]) ).
cnf(c40,plain,
join(join(X,Y),X) = join(X,Y),
inference(equational,[status(thm)],[c17,c33]) ).
cnf(c90,plain,
join(join(meet(join(X,Y),Z),X),join(X,Y)) = join(X,Y),
inference(equational,[status(thm)],[c6,c33]) ).
cnf(c91,plain,
join(join(X,Y),join(Y,X)) = join(Y,X),
inference(equational,[status(thm)],[c36,c90]) ).
cnf(c92,plain,
join(X,Y) = join(Y,X),
inference(equational,[status(thm)],[c40,c91]) ).
cnf(g1,plain,
join(b,a) = join(a,b),
inference(equational,[status(thm)],[c92]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT091-1 : TPTP v9.0.0. Released v2.6.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n016.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 11:40:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.91/1.17 % SZS status Unsatisfiable
% 0.91/1.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------