%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 01:02:03 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 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 : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
join(a,meet(a,b)) != a,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f11,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(meet(X2,join(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f12,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f15,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f4,f12]) ).
fof(f26,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f5]) ).
fof(f27,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f5]) ).
fof(f29,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f26]) ).
fof(f30,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f27]) ).
fof(f108,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f29]) ).
fof(f127,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f30,f108]) ).
fof(f140,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f4,f127]) ).
fof(f158,plain,
! [X0] : meet(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f4,f140]) ).
fof(f177,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f158,f140]) ).
fof(f186,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f158,f5]) ).
fof(f192,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f4,f186]) ).
fof(f219,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f158,f192]) ).
fof(f395,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(X1,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f219,f29]) ).
fof(f399,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(meet(X0,join(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f219,f11]) ).
fof(f404,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,join(X0,X0))),
inference(paramodulation,[status(thm)],[f219,f10]) ).
fof(f409,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(X1,X1)),
inference(forward_demodulation,[status(thm)],[f30,f395]) ).
fof(f410,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f219,f409]) ).
fof(f413,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f4,f399]) ).
fof(f414,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f219,f413]) ).
fof(f420,plain,
! [X0,X1] : X0 = join(X0,meet(X1,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f177,f404]) ).
fof(f421,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f219,f420]) ).
fof(f423,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f192,f414]) ).
fof(f808,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f410,f423]) ).
fof(f857,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f808,f421]) ).
fof(f907,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f857,f6]) ).
fof(f948,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n006.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sun Sep 20 23:04:17 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.59 % Refutation found
% 0.09/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.61 % Elapsed time: 0.035212 seconds
% 0.09/0.61 % CPU time: 0.121785 seconds
% 0.09/0.61 % Total memory used: 5.083 MB
% 0.09/0.61 % Net memory used: 4.958 MB
%------------------------------------------------------------------------------