%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV019-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:45:59 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 3 def)
% Number of atoms : 69 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 35 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 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(f12,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f149,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f162,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f187,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f298,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f300,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f301,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f369,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(forward_demodulation,[status(thm)],[f141,f162]) ).
fof(f370,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f369,f149]) ).
fof(f371,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(resolution,[status(thm)],[f370,f298]) ).
fof(f375,definition,
( sQ14_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ14_spl
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ15_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f381,definition,
( sQ16_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ16_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( ~ sQ16_spl
| sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f371,f375,f378,f381]) ).
fof(f388,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f300]) ).
fof(f389,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f301]) ).
fof(f391,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f464,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f149]) ).
fof(f465,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolution,[status(thm)],[f464,f298]) ).
fof(f471,plain,
( ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f465,f378,f381]) ).
fof(f476,plain,
$false,
inference(sat_refutation,[status(thm)],[f384,f389,f391,f471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV019-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:43:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.46 % Elapsed time: 0.075787 seconds
% 0.11/0.46 % CPU time: 0.179675 seconds
% 0.11/0.46 % Total memory used: 110.078 MB
% 0.11/0.46 % Net memory used: 109.960 MB
%------------------------------------------------------------------------------