%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV025-2 : 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 12:46:00 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 22 unt; 6 def)
% Number of atoms : 90 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 73 ( 31 ~; 36 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,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_DOTrd__error_(f_ADD_(T_13,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,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_DOTrd__error_(f_ADD_(T_13,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X_80] : f_ADD_(X_80,n1) != n0,
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(f76,axiom,
! [X_109] : f_ADD_(n0,X_109) = X_109,
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_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f169,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_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0)) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f202,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_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0)) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f209,plain,
! [X0] : f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f226,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f228,plain,
! [X0] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f298,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f299,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f300,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f301,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f310,definition,
( sQ0_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ0_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ1_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ1_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f319,definition,
( sQ3_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ3_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f323,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f299]) ).
fof(f324,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f349,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f298]) ).
fof(f350,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f300]) ).
fof(f352,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f351]) ).
fof(f454,definition,
( sQ27_spl
<=> n1 = n1 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ27_spl
| n1 != n1 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f458,plain,
( sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f456]) ).
fof(f459,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f464,plain,
n1 != n0,
inference(paramodulation,[status(thm)],[f228,f209]) ).
fof(f620,definition,
( sQ36_spl
<=> n1 = n0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ36_spl
| n1 = n0 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f624,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f464]) ).
fof(f625,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f644,definition,
( sQ38_spl
<=> p_LES_EQU_(n1,f_ADD_(n0,n1)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( sQ38_spl
| ~ p_LES_EQU_(n1,f_ADD_(n0,n1)) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f649,plain,
( sQ38_spl
| ~ p_LES_EQU_(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f228,f646]) ).
fof(f650,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f226]) ).
fof(f651,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f765,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f169]) ).
fof(f766,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
inference(resolution,[status(thm)],[f765,f301]) ).
fof(f767,plain,
( sQ3_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f766,f310,f313,f319]) ).
fof(f768,plain,
$false,
inference(sat_refutation,[status(thm)],[f324,f350,f352,f459,f625,f651,f767]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV025-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:48:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.061673 seconds
% 0.13/0.42 % CPU time: 0.187561 seconds
% 0.13/0.42 % Total memory used: 107.134 MB
% 0.13/0.42 % Net memory used: 107.017 MB
%------------------------------------------------------------------------------