%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:45:57 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 14 unt; 4 def)
% Number of atoms : 97 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 45 ~; 49 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 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(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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [X_96,Y_97] :
( ~ p_LES_EQU_(Y_97,X_96)
| ~ p_LES_EQU_(X_96,Y_97)
| X_96 = Y_97 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [Z_100,X_98,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
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_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(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_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,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(f161,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(f186,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(f219,plain,
! [X0,X1] :
( ~ p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f220,plain,
! [Z_100,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| ! [X_98] :
( p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f221,plain,
! [X0,X1,X2] :
( p_LES_EQU_(X0,X2)
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f225,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f297,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f298,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f299,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f306,plain,
! [X0] :
( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(resolution,[status(thm)],[f221,f297]) ).
fof(f320,definition,
( sQ1_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f373,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(resolution,[status(thm)],[f306,f225]) ).
fof(f386,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
inference(resolution,[status(thm)],[f373,f219]) ).
fof(f387,definition,
( sQ14_spl
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ14_spl
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ15_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f386,f387,f390]) ).
fof(f396,plain,
( ~ sQ14_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(backward_demodulation,[status(thm)],[f388,f297]) ).
fof(f398,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f225]) ).
fof(f399,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f400,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)],[f140,f161]) ).
fof(f401,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)],[f400,f148]) ).
fof(f403,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
inference(resolution,[status(thm)],[f401,f298]) ).
fof(f404,definition,
( sQ16_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ16_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ1_spl
| sQ15_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f403,f404,f390,f320]) ).
fof(f454,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)],[f186,f148]) ).
fof(f457,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
inference(resolution,[status(thm)],[f454,f298]) ).
fof(f459,plain,
( ~ sQ1_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f457,f404,f320]) ).
fof(f460,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f406,f299]) ).
fof(f461,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f460]) ).
fof(f462,plain,
$false,
inference(sat_refutation,[status(thm)],[f393,f399,f407,f459,f461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:48:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.44 % Elapsed time: 0.071280 seconds
% 0.15/0.44 % CPU time: 0.175843 seconds
% 0.15/0.44 % Total memory used: 55.345 MB
% 0.15/0.44 % Net memory used: 55.262 MB
%------------------------------------------------------------------------------