%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV018-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:45:58 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 17 unt; 4 def)
% Number of atoms : 81 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 69 ( 29 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [T_1] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [T_2] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,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))
| 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(f50,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))
| 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_DOTfull_(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(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f164,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))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f200,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
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_DOTfull_(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(f303,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f314,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolution,[status(thm)],[f303,f143]) ).
fof(f481,definition,
( sQ18_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ18_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ19_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ19_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f528,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f200]) ).
fof(f546,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f301]) ).
fof(f547,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f548,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f299]) ).
fof(f549,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f607,definition,
( sQ39_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( sQ39_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f697,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolution,[status(thm)],[f144,f300]) ).
fof(f709,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(paramodulation,[status(thm)],[f697,f528]) ).
fof(f712,definition,
( sQ55_spl
<=> fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ55_spl
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( sQ19_spl
| sQ18_spl
| ~ sQ39_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f709,f712,f607,f481,f484]) ).
fof(f717,plain,
( ~ sQ55_spl
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(forward_demodulation,[status(thm)],[f697,f713]) ).
fof(f718,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f314]) ).
fof(f719,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f227]) ).
fof(f721,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f722,plain,
$false,
inference(sat_refutation,[status(thm)],[f547,f549,f715,f719,f721]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV018-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:48:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.45 % Elapsed time: 0.074378 seconds
% 0.09/0.45 % CPU time: 0.266528 seconds
% 0.09/0.45 % Total memory used: 112.143 MB
% 0.09/0.45 % Net memory used: 111.775 MB
%------------------------------------------------------------------------------