%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV014-1 : 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 12:45:57 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 20 unt; 4 def)
% Number of atoms : 62 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 22 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 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(f71,axiom,
! [X_t_42] :
( int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1)
| ~ gt(int_level(X_t_42),n0)
| ~ 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,
gt(level(x_139),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Rd(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ p_Wr(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ p_Reset(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
level(plus(x_139,n1)) != minus(level(x_139),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f171,plain,
! [X0] :
( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f191,plain,
gt(level(x_139),n0),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f192,plain,
p_Rd(x_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f193,plain,
~ p_Wr(x_139),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f194,plain,
~ p_Reset(x_139),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f195,plain,
level(plus(x_139,n1)) != minus(level(x_139),n1),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f255,plain,
gt(int_level(x_139),n0),
inference(forward_demodulation,[status(thm)],[f119,f191]) ).
fof(f256,plain,
int_level(plus(x_139,n1)) != minus(level(x_139),n1),
inference(forward_demodulation,[status(thm)],[f119,f195]) ).
fof(f257,plain,
int_level(plus(x_139,n1)) != minus(int_level(x_139),n1),
inference(forward_demodulation,[status(thm)],[f119,f256]) ).
fof(f278,definition,
( sQ1_spl
<=> p_Rd(x_139) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ1_spl
| ~ p_Rd(x_139) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ2_spl
<=> gt(int_level(x_139),n0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ2_spl
| ~ gt(int_level(x_139),n0) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f297,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f192]) ).
fof(f298,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f309,plain,
( int_level(plus(x_139,n1)) = minus(int_level(x_139),n1)
| ~ gt(int_level(x_139),n0)
| ~ p_Rd(x_139)
| p_Reset(x_139) ),
inference(resolution,[status(thm)],[f171,f193]) ).
fof(f310,definition,
( sQ8_spl
<=> p_Reset(x_139) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ8_spl
| p_Reset(x_139) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ9_spl
<=> int_level(plus(x_139,n1)) = minus(int_level(x_139),n1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ9_spl
| int_level(plus(x_139,n1)) = minus(int_level(x_139),n1) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ9_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f309,f310,f278,f281,f313]) ).
fof(f317,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f255]) ).
fof(f318,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f194]) ).
fof(f320,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f257]) ).
fof(f322,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f321]) ).
fof(f323,plain,
$false,
inference(sat_refutation,[status(thm)],[f298,f316,f318,f320,f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV014-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n005.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Sun Sep 20 20:48:03 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.54 % Drodi V4.1.1
% 0.16/0.57 % Refutation found
% 0.16/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.60 % Elapsed time: 0.053389 seconds
% 0.16/0.60 % CPU time: 0.172458 seconds
% 0.16/0.60 % Total memory used: 105.690 MB
% 0.16/0.60 % Net memory used: 105.500 MB
%------------------------------------------------------------------------------