%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV032-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:46:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_5,n1)) = n0 ),
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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1))),
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(f145,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X0,n1)) = n0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1))),
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(f306,plain,
fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1)) = n0,
inference(resolution,[status(thm)],[f145,f297]) ).
fof(f315,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(backward_demodulation,[status(thm)],[f306,f298]) ).
fof(f316,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f315,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV032-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n008.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 20:49:55 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.59 % Drodi V4.1.1
% 0.14/0.62 % Refutation found
% 0.14/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.64 % Elapsed time: 0.066802 seconds
% 0.14/0.64 % CPU time: 0.162458 seconds
% 0.14/0.64 % Total memory used: 44.697 MB
% 0.14/0.64 % Net memory used: 44.674 MB
%------------------------------------------------------------------------------