%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 11:42:50 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% 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 : 6 ( 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 : 24 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion) ).
cnf(c2,axiom,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie3) ).
cnf(c3,plain,
join(join(meet(X3,join(X5,X4)),meet(join(X5,X4),X2)),join(X5,X4)) = join(X5,X4),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(X5,X4) = join(join(meet(X3,join(X5,X4)),meet(join(X5,X4),X2)),join(X5,X4)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X5,join(X5,X4)) = meet(X5,join(join(meet(X3,join(X5,X4)),meet(join(X5,X4),X2)),join(X5,X4))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
meet(X2,join(Y2,join(X2,Z2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie2) ).
cnf(c7,plain,
meet(X5,join(join(meet(X3,join(X5,X4)),meet(join(X5,X4),X2)),join(X5,X4))) = X5,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(X3,join(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
meet(a,join(a,b)) = a,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
$false,
inference(resolution,[status(thm)],[c1,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.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 13:56:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 Command-line arguments: --no-flatten-goal
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.44
% 0.13/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------