%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:45:56 PM UTC 2026
% Result : Unsatisfiable 0.19s 5.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 3 unt; 2 def)
% Number of atoms : 48 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X_t_36] :
( ~ p_Empty(X_t_36)
| int_level(X_t_36) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
( level(t_139) = n0
| p_Empty(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f119,plain,
! [X0] :
( p_Empty(X0)
| int_level(X0) != n0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f120,plain,
! [X0] :
( ~ p_Empty(X0)
| int_level(X0) = n0 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f188,plain,
( level(t_139) != n0
| ~ p_Empty(t_139) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f189,plain,
( level(t_139) = n0
| p_Empty(t_139) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f190,definition,
( sQ0_spl
<=> p_Empty(t_139) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ0_spl
| p_Empty(t_139) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ1_spl
<=> level(t_139) = n0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ1_spl
| level(t_139) = n0 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ1_spl
| level(t_139) != n0 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f188,f190,f193]) ).
fof(f197,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f189,f190,f193]) ).
fof(f201,plain,
( sQ1_spl
| int_level(t_139) != n0 ),
inference(backward_demodulation,[status(thm)],[f116,f195]) ).
fof(f203,plain,
( sQ1_spl
| ~ p_Empty(t_139) ),
inference(resolution,[status(thm)],[f120,f201]) ).
fof(f205,plain,
( sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f191]) ).
fof(f206,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( ~ sQ1_spl
| int_level(t_139) = n0 ),
inference(forward_demodulation,[status(thm)],[f116,f194]) ).
fof(f208,plain,
( ~ sQ1_spl
| p_Empty(t_139) ),
inference(resolution,[status(thm)],[f207,f119]) ).
fof(f211,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f208,f190,f193]) ).
fof(f217,plain,
$false,
inference(sat_refutation,[status(thm)],[f196,f197,f206,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n009.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Sun Sep 20 20:47:47 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.48 % Drodi V4.1.1
% 0.19/5.49 % Refutation found
% 0.19/5.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.55 % Elapsed time: 0.081350 seconds
% 0.23/5.55 % CPU time: 0.116604 seconds
% 0.23/5.55 % Total memory used: 13.092 MB
% 0.23/5.55 % Net memory used: 13.081 MB
%------------------------------------------------------------------------------