%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV028-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:46:01 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 30 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [Z_100,X_98,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = n0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f220,plain,
! [Z_100,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| ! [X_98] :
( p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f221,plain,
! [X0,X1,X2] :
( p_LES_EQU_(X0,X2)
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f225,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f297,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f298,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f299,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f305,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(backward_demodulation,[status(thm)],[f140,f298]) ).
fof(f348,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0,
inference(resolution,[status(thm)],[f147,f297]) ).
fof(f352,plain,
~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(backward_demodulation,[status(thm)],[f348,f305]) ).
fof(f381,plain,
! [X0,X1] :
( p_LES_EQU_(X1,X0)
| p_LES_EQU_(X0,X1) ),
inference(resolution,[status(thm)],[f221,f225]) ).
fof(f392,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(resolution,[status(thm)],[f381,f352]) ).
fof(f403,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f392,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV028-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:49:37 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.062715 seconds
% 0.12/0.42 % CPU time: 0.186167 seconds
% 0.12/0.42 % Total memory used: 106.823 MB
% 0.12/0.42 % Net memory used: 106.683 MB
%------------------------------------------------------------------------------