%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV020-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 18 unt; 3 def)
% Number of atoms : 82 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 33 ~; 40 |; 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 : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 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(f8,axiom,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,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_DOTint__level_(T_13),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,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_DOTint__level_(T_13),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
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_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f181,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_DOTint__level_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f197,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_DOTint__level_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f227,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f299,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f301,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f302,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f303,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f309,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(resolution,[status(thm)],[f146,f302]) ).
fof(f312,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(backward_demodulation,[status(thm)],[f142,f309]) ).
fof(f380,definition,
( sQ14_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ14_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f396,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f301]) ).
fof(f397,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f420,definition,
( sQ20_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ20_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ21_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ21_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f485,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_DOTlevel_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(forward_demodulation,[status(thm)],[f142,f181]) ).
fof(f734,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_DOTlevel_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(forward_demodulation,[status(thm)],[f142,f197]) ).
fof(f735,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f485]) ).
fof(f740,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
inference(resolution,[status(thm)],[f735,f299]) ).
fof(f747,plain,
( sQ14_spl
| ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f740,f420,f423,f380]) ).
fof(f751,plain,
( sQ21_spl
| ~ p_LES_EQU_(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f312,f425]) ).
fof(f752,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f227]) ).
fof(f753,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f303]) ).
fof(f756,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f755]) ).
fof(f757,plain,
$false,
inference(sat_refutation,[status(thm)],[f397,f747,f753,f756]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV020-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:48:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.43 % Elapsed time: 0.055781 seconds
% 0.08/0.43 % CPU time: 0.167153 seconds
% 0.08/0.43 % Total memory used: 49.315 MB
% 0.08/0.43 % Net memory used: 49.151 MB
%------------------------------------------------------------------------------