%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 01:02:04 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.59s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
meet(a,join(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
meet(a,join(a,b)) != a,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f33,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f28,f10]) ).
fof(f34,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.57 % Computer : n016.cluster.edu
% 0.08/5.57 % Model : x86_64 x86_64
% 0.08/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.57 % Memory : 8046.5625MB
% 0.08/5.57 % OS : Linux 6.8.0-71-generic
% 0.08/5.57 % CPULimit : 300
% 0.08/5.57 % WCLimit : 300
% 0.08/5.57 % DateTime : Sun Sep 20 23:11:28 UTC 2026
% 0.08/5.57 % CPUTime :
% 0.08/5.58 % Drodi V4.1.1
% 0.08/5.59 % Refutation found
% 0.08/5.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.61 % Elapsed time: 0.029106 seconds
% 0.14/5.61 % CPU time: 0.025952 seconds
% 0.14/5.61 % Total memory used: 456.656 KB
% 0.14/5.61 % Net memory used: 455.168 KB
%------------------------------------------------------------------------------