%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:45:55 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 8 unt; 3 def)
% Number of atoms : 55 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 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(f26,axiom,
! [X_t_37] :
( int_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X_t_37] :
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X_t_37] :
( ~ p_Rd_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| level(plus(t_139,n1)) != n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f121,plain,
! [X0] :
( int_level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f124,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f125,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f188,plain,
p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f189,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| level(plus(t_139,n1)) != n0 ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f190,definition,
( sQ0_spl
<=> level(plus(t_139,n1)) = n0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ0_spl
| level(plus(t_139,n1)) != n0 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ1_spl
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ1_spl
| p_Wr_error(plus(t_139,n1)) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ2_spl
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ2_spl
| p_Rd_error(plus(t_139,n1)) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f189,f190,f193,f196]) ).
fof(f220,plain,
! [X0] :
( level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f116,f121]) ).
fof(f232,plain,
( ~ sQ2_spl
| ~ p_Reset(t_139) ),
inference(resolution,[status(thm)],[f125,f197]) ).
fof(f234,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f188]) ).
fof(f235,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f234]) ).
fof(f240,plain,
( sQ0_spl
| ~ p_Reset(t_139) ),
inference(resolution,[status(thm)],[f192,f220]) ).
fof(f241,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f188]) ).
fof(f242,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( ~ sQ1_spl
| ~ p_Reset(t_139) ),
inference(resolution,[status(thm)],[f194,f124]) ).
fof(f244,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f188]) ).
fof(f245,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
$false,
inference(sat_refutation,[status(thm)],[f199,f235,f242,f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:47:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.068845 seconds
% 0.12/0.43 % CPU time: 0.158979 seconds
% 0.12/0.43 % Total memory used: 104.653 MB
% 0.12/0.43 % Net memory used: 104.586 MB
%------------------------------------------------------------------------------