%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 78 ( 78 unt; 0 nHn; 42 RR)
% Number of literals : 78 ( 77 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 : 68 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(zz,meet(xx,yy)) = join(meet(xx,yy),zz),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(meet(xx,yy),zz) = join(zz,meet(xx,yy)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
join(zz,meet(xx,yy)) = join(zz,meet(xx,zz)),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c8,plain,
meet(xx,zz) = meet(zz,xx),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
join(zz,meet(xx,zz)) = join(zz,meet(zz,xx)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(c11,plain,
join(zz,meet(zz,xx)) = zz,
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
join(zz,meet(xx,zz)) = zz,
inference(transitivity,[status(thm)],[c9,c11]) ).
cnf(c13,plain,
join(zz,meet(xx,yy)) = zz,
inference(transitivity,[status(thm)],[c6,c12]) ).
cnf(c14,plain,
join(meet(xx,yy),zz) = zz,
inference(transitivity,[status(thm)],[c4,c13]) ).
cnf(c15,plain,
zz = join(meet(xx,yy),zz),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
join(zz,meet(xx,yy)) = join(meet(xx,yy),zz),
inference(substitution,[status(thm)],[c2]) ).
cnf(c17,plain,
join(meet(xx,yy),zz) = join(zz,meet(xx,yy)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
meet(xx,yy) = meet(yy,xx),
inference(substitution,[status(thm)],[c7]) ).
cnf(c19,plain,
join(zz,meet(xx,yy)) = join(zz,meet(yy,xx)),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
join(zz,X2) = join(X2,zz),
inference(substitution,[status(thm)],[c2]) ).
cnf(c21,plain,
join(X2,zz) = join(zz,X2),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
meet(join(xx,yy),join(X2,zz)) = meet(join(xx,yy),join(zz,X2)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c24,plain,
meet(join(xx,yy),join(zz,X2)) = meet(join(xx,zz),join(zz,X2)),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
join(xx,zz) = join(zz,xx),
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
meet(join(xx,zz),join(zz,X2)) = meet(join(zz,xx),join(zz,X2)),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,hypothesis,
join(X2,meet(Y2,Z)) = meet(join(X2,Y2),join(X2,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).
cnf(c28,plain,
join(zz,meet(xx,X2)) = meet(join(zz,xx),join(zz,X2)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
meet(join(zz,xx),join(zz,X2)) = join(zz,meet(xx,X2)),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
meet(xx,X2) = meet(X2,xx),
inference(substitution,[status(thm)],[c7]) ).
cnf(c31,plain,
join(zz,meet(xx,X2)) = join(zz,meet(X2,xx)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(join(zz,xx),join(zz,X2)) = join(zz,meet(X2,xx)),
inference(transitivity,[status(thm)],[c29,c31]) ).
cnf(c33,plain,
meet(join(xx,zz),join(zz,X2)) = join(zz,meet(X2,xx)),
inference(transitivity,[status(thm)],[c26,c32]) ).
cnf(c34,plain,
meet(join(xx,yy),join(zz,X2)) = join(zz,meet(X2,xx)),
inference(transitivity,[status(thm)],[c24,c33]) ).
cnf(c35,plain,
meet(join(xx,yy),join(X2,zz)) = join(zz,meet(X2,xx)),
inference(transitivity,[status(thm)],[c22,c34]) ).
cnf(c36,plain,
meet(join(xx,yy),join(yy,zz)) = join(zz,meet(yy,xx)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
join(zz,meet(yy,xx)) = meet(join(xx,yy),join(yy,zz)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
join(zz,yy) = join(yy,zz),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
join(yy,zz) = join(zz,yy),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
meet(join(xx,yy),join(yy,zz)) = meet(join(xx,yy),join(zz,yy)),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c42,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
meet(join(X4,X3),join(X2,X3)) = meet(join(X4,X3),join(X3,X2)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c45,plain,
meet(join(X2,X4),join(X4,X3)) = meet(join(X4,X2),join(X4,X3)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
join(X4,meet(X2,X3)) = meet(join(X4,X2),join(X4,X3)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c47,plain,
meet(join(X4,X2),join(X4,X3)) = join(X4,meet(X2,X3)),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c7]) ).
cnf(c49,plain,
join(X4,meet(X2,X3)) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
meet(join(X4,X2),join(X4,X3)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c47,c49]) ).
cnf(c51,plain,
meet(join(X2,X4),join(X4,X3)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c45,c50]) ).
cnf(c52,plain,
meet(join(X2,X4),join(X3,X4)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c43,c51]) ).
cnf(c53,plain,
meet(join(xx,yy),join(zz,yy)) = join(yy,meet(zz,xx)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(xx,zz) = meet(zz,xx),
inference(substitution,[status(thm)],[c7]) ).
cnf(c55,plain,
meet(zz,xx) = meet(xx,zz),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
join(yy,meet(zz,xx)) = join(yy,meet(xx,zz)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
meet(xx,zz) = meet(xx,yy),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c58,plain,
join(yy,meet(xx,zz)) = join(yy,meet(xx,yy)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
join(yy,meet(xx,yy)) = join(meet(xx,yy),yy),
inference(substitution,[status(thm)],[c2]) ).
cnf(c60,plain,
join(X2,meet(X3,X2)) = join(meet(X3,X2),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c61,plain,
join(meet(X3,X2),X2) = join(X2,meet(X3,X2)),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c7]) ).
cnf(c63,plain,
join(X2,meet(X3,X2)) = join(X2,meet(X2,X3)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
join(X2,meet(X2,X3)) = X2,
inference(substitution,[status(thm)],[c10]) ).
cnf(c65,plain,
join(X2,meet(X3,X2)) = X2,
inference(transitivity,[status(thm)],[c63,c64]) ).
cnf(c66,plain,
join(meet(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c61,c65]) ).
cnf(c67,plain,
join(meet(xx,yy),yy) = yy,
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
join(yy,meet(xx,yy)) = yy,
inference(transitivity,[status(thm)],[c59,c67]) ).
cnf(c69,plain,
join(yy,meet(xx,zz)) = yy,
inference(transitivity,[status(thm)],[c58,c68]) ).
cnf(c70,plain,
join(yy,meet(zz,xx)) = yy,
inference(transitivity,[status(thm)],[c56,c69]) ).
cnf(c71,plain,
meet(join(xx,yy),join(zz,yy)) = yy,
inference(transitivity,[status(thm)],[c53,c70]) ).
cnf(c72,plain,
meet(join(xx,yy),join(yy,zz)) = yy,
inference(transitivity,[status(thm)],[c40,c71]) ).
cnf(c73,plain,
join(zz,meet(yy,xx)) = yy,
inference(transitivity,[status(thm)],[c37,c72]) ).
cnf(c74,plain,
join(zz,meet(xx,yy)) = yy,
inference(transitivity,[status(thm)],[c19,c73]) ).
cnf(c75,plain,
join(meet(xx,yy),zz) = yy,
inference(transitivity,[status(thm)],[c17,c74]) ).
cnf(c76,plain,
zz = yy,
inference(transitivity,[status(thm)],[c15,c75]) ).
cnf(c77,plain,
yy = zz,
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,plain,
$false,
inference(resolution,[status(thm)],[c1,c77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:57:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 Command-line arguments: --flatten --complete-subsets
% 0.19/0.50
% 0.19/0.50 % SZS status Unsatisfiable
% 0.19/0.50
% 0.19/0.51 % SZS output start CNFRefutation
% See solution above
% 0.19/0.53
% 0.19/0.53 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------