%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 23 unt; 5 def)
% Number of atoms : 100 ( 19 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 87 ( 38 ~; 44 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f46,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/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(f145,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
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(f195,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
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(f300,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
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_DOTempty_(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(f315,definition,
( sQ1_spl
<=> p_LES_EQU_(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( sQ1_spl
| ~ p_LES_EQU_(n0,n0) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ2_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ2_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ3_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ3_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ4_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ4_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f328,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f301]) ).
fof(f329,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f339,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(backward_demodulation,[status(thm)],[f142,f309]) ).
fof(f341,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(backward_demodulation,[status(thm)],[f142,f145]) ).
fof(f359,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f299]) ).
fof(f360,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f359]) ).
fof(f369,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != n0,
inference(resolution,[status(thm)],[f341,f303]) ).
fof(f385,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)
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(forward_demodulation,[status(thm)],[f142,f195]) ).
fof(f386,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)
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0) ),
inference(forward_demodulation,[status(thm)],[f142,f385]) ).
fof(f387,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)
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0) ),
inference(forward_demodulation,[status(thm)],[f142,f386]) ).
fof(f389,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(n0,n0)
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
inference(paramodulation,[status(thm)],[f339,f387]) ).
fof(f391,definition,
( sQ11_spl
<=> fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ11_spl
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f389,f391,f315,f318,f321,f324]) ).
fof(f395,plain,
( ~ sQ11_spl
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0 ),
inference(forward_demodulation,[status(thm)],[f339,f392]) ).
fof(f396,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f395,f369]) ).
fof(f397,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f227]) ).
fof(f399,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f322,f300]) ).
fof(f402,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f401]) ).
fof(f403,plain,
$false,
inference(sat_refutation,[status(thm)],[f329,f360,f394,f397,f399,f402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:53:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.063748 seconds
% 0.10/0.44 % CPU time: 0.163245 seconds
% 0.10/0.44 % Total memory used: 109.768 MB
% 0.10/0.44 % Net memory used: 109.701 MB
%------------------------------------------------------------------------------