%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 11:42:52 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 9 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 : 13 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(xx,xx) != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
cnf(c2,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
cnf(c3,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(X3,X3) = join(X3,meet(X3,join(X3,X2))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(c7,plain,
join(X3,meet(X3,join(X3,X2))) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
join(X2,X2) = X2,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
join(xx,xx) = xx,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
$false,
inference(resolution,[status(thm)],[c1,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:57:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 Command-line arguments: --no-flatten-goal
% 0.09/0.44
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44
% 0.09/0.44 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44
% 0.09/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------