%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV027-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:46:01 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 3 def)
% Number of atoms : 54 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 17 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [X_t_42] :
( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
| p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
level(t_139) != level(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f181,plain,
! [X0] :
( int_level(plus(X0,n1)) = int_level(X0)
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f190,plain,
~ p_Wr(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
~ p_Rd(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f192,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f193,plain,
level(t_139) != level(plus(t_139,n1)),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f198,plain,
! [X0] :
( level(plus(X0,n1)) = int_level(X0)
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f118,f181]) ).
fof(f199,plain,
! [X0] :
( level(plus(X0,n1)) = level(X0)
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f118,f198]) ).
fof(f200,plain,
( level(plus(t_139,n1)) = level(t_139)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[f199,f190]) ).
fof(f202,definition,
( sQ0_spl
<=> p_Reset(t_139) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ0_spl
| p_Reset(t_139) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ1_spl
<=> p_Rd(t_139) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ1_spl
| p_Rd(t_139) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ2_spl
<=> level(plus(t_139,n1)) = level(t_139) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ2_spl
| level(plus(t_139,n1)) = level(t_139) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f200,f202,f205,f208]) ).
fof(f216,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f193]) ).
fof(f217,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f192]) ).
fof(f219,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f191]) ).
fof(f221,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f222,plain,
$false,
inference(sat_refutation,[status(thm)],[f211,f217,f219,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV027-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 20:48:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.054414 seconds
% 0.09/0.43 % CPU time: 0.143225 seconds
% 0.09/0.43 % Total memory used: 104.623 MB
% 0.09/0.43 % Net memory used: 104.552 MB
%------------------------------------------------------------------------------