%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT039-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:53 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 20 RR)
% Number of literals : 33 ( 32 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(yy,zz) = meet(zz,yy),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(xx,meet(yy,zz)) = join(xx,meet(zz,yy)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(yy,X2) = meet(X2,yy),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
meet(X2,yy) = meet(yy,X2),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
join(xx,meet(X2,yy)) = join(xx,meet(yy,X2)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,hypothesis,
join(X2,meet(Y2,Z)) = meet(join(X2,Y2),join(X2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
cnf(c9,plain,
join(xx,meet(yy,X2)) = meet(join(xx,yy),join(xx,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,axiom,
join(xx,yy) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c11,plain,
meet(join(xx,yy),join(xx,X2)) = meet(yy,join(xx,X2)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c13,plain,
join(xx,X2) = join(X2,xx),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
meet(yy,join(xx,X2)) = meet(yy,join(X2,xx)),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
meet(join(xx,yy),join(xx,X2)) = meet(yy,join(X2,xx)),
inference(transitivity,[status(thm)],[c11,c14]) ).
cnf(c16,plain,
join(xx,meet(yy,X2)) = meet(yy,join(X2,xx)),
inference(transitivity,[status(thm)],[c9,c15]) ).
cnf(c17,plain,
join(xx,meet(X2,yy)) = meet(yy,join(X2,xx)),
inference(transitivity,[status(thm)],[c7,c16]) ).
cnf(c18,plain,
join(xx,meet(zz,yy)) = meet(yy,join(zz,xx)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
meet(join(zz,xx),yy) = meet(yy,join(zz,xx)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c20,plain,
meet(yy,join(zz,xx)) = meet(join(zz,xx),yy),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
yy = join(xx,yy),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c22,plain,
meet(join(zz,xx),yy) = meet(join(zz,xx),join(xx,yy)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
join(xx,zz) = join(zz,xx),
inference(substitution,[status(thm)],[c12]) ).
cnf(c24,plain,
join(zz,xx) = join(xx,zz),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
meet(join(zz,xx),join(xx,yy)) = meet(join(xx,zz),join(xx,yy)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(join(xx,yy),join(xx,zz)) = meet(join(xx,zz),join(xx,yy)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
meet(join(xx,zz),join(xx,yy)) = meet(join(xx,yy),join(xx,zz)),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
meet(join(zz,xx),join(xx,yy)) = meet(join(xx,yy),join(xx,zz)),
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
meet(join(zz,xx),yy) = meet(join(xx,yy),join(xx,zz)),
inference(transitivity,[status(thm)],[c22,c28]) ).
cnf(c30,plain,
meet(yy,join(zz,xx)) = meet(join(xx,yy),join(xx,zz)),
inference(transitivity,[status(thm)],[c20,c29]) ).
cnf(c31,plain,
join(xx,meet(zz,yy)) = meet(join(xx,yy),join(xx,zz)),
inference(transitivity,[status(thm)],[c18,c30]) ).
cnf(c32,plain,
join(xx,meet(yy,zz)) = meet(join(xx,yy),join(xx,zz)),
inference(transitivity,[status(thm)],[c4,c31]) ).
cnf(c33,plain,
$false,
inference(resolution,[status(thm)],[c1,c32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 13:57:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 Command-line arguments: --no-flatten-goal
% 0.18/0.46
% 0.18/0.46 % SZS status Unsatisfiable
% 0.18/0.46
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------