%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT040-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n009.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 07:05:40 AM UTC 2025
% Result : Unsatisfiable 0.71s 0.90s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 12 RR)
% Number of literals : 24 ( 23 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
yy != zz,
file('theBenchmark.p',rhs) ).
cnf(c1,axiom,
meet(X,X) = X,
file('LAT001-0.ax',idempotence_of_meet) ).
cnf(c3,axiom,
meet(X,Y) = meet(Y,X),
file('LAT001-0.ax',commutativity_of_meet) ).
cnf(c4,axiom,
join(X,Y) = join(Y,X),
file('LAT001-0.ax',commutativity_of_join) ).
cnf(c5,axiom,
join(xx,yy) = join(xx,zz),
file('theBenchmark.p',lhs1) ).
cnf(c6,plain,
join(xx,zz) = join(xx,yy),
inference(equational,[status(thm)],[c5]) ).
cnf(c7,axiom,
meet(xx,yy) = meet(xx,zz),
file('theBenchmark.p',lhs2) ).
cnf(c8,plain,
meet(xx,zz) = meet(xx,yy),
inference(equational,[status(thm)],[c7]) ).
cnf(c9,axiom,
meet(X,join(X,Y)) = X,
file('LAT001-0.ax',absorption1) ).
cnf(c10,axiom,
join(X,meet(X,Y)) = X,
file('LAT001-0.ax',absorption2) ).
cnf(c11,plain,
join(X,meet(Y,X)) = X,
inference(equational,[status(thm)],[c3,c10]) ).
cnf(c12,plain,
meet(X,join(Y,X)) = X,
inference(equational,[status(thm)],[c4,c9]) ).
cnf(c21,plain,
meet(join(xx,yy),zz) = zz,
inference(equational,[status(thm)],[c3,c6,c12]) ).
cnf(c22,plain,
join(meet(xx,yy),zz) = zz,
inference(equational,[status(thm)],[c4,c8,c11]) ).
cnf(c30,axiom,
join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)),
file('theBenchmark.p',dist_join) ).
cnf(c31,plain,
meet(join(X,Y),join(X,Z)) = join(X,meet(Y,Z)),
inference(equational,[status(thm)],[c30]) ).
cnf(c34,axiom,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('theBenchmark.p',dist_meet) ).
cnf(c39,plain,
join(X,meet(join(Y,X),Z)) = join(X,meet(Y,Z)),
inference(equational,[status(thm)],[c1,c3,c4,c10,c31,c34]) ).
cnf(c40,plain,
join(yy,zz) = yy,
inference(equational,[status(thm)],[c8,c11,c21,c39]) ).
cnf(c41,plain,
meet(yy,zz) = zz,
inference(equational,[status(thm)],[c3,c12,c40]) ).
cnf(c68,plain,
join(meet(X,xx),meet(X,zz)) = join(meet(X,xx),meet(X,yy)),
inference(equational,[status(thm)],[c6,c34]) ).
cnf(c69,plain,
zz = yy,
inference(equational,[status(thm)],[c1,c3,c4,c11,c22,c41,c68]) ).
cnf(g1,plain,
yy = zz,
inference(equational,[status(thm)],[c69]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT040-1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 14 11:34:34 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.71/0.90 % SZS status Unsatisfiable
% 0.71/0.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------