%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV015-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% 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 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X_t_42] :
( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
| ~ 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
gt(level(x_139),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Rd(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
p_Wr(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ p_Reset(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
level(plus(x_139,n1)) != level(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f153,plain,
! [X0] :
( int_level(plus(X0,n1)) = int_level(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
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)) != level(x_139),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f199,plain,
int_level(plus(x_139,n1)) != level(x_139),
inference(backward_demodulation,[status(thm)],[f119,f195]) ).
fof(f200,plain,
gt(int_level(x_139),n0),
inference(backward_demodulation,[status(thm)],[f119,f191]) ).
fof(f201,plain,
int_level(plus(x_139,n1)) != int_level(x_139),
inference(forward_demodulation,[status(thm)],[f119,f199]) ).
fof(f239,definition,
( sQ1_spl
<=> gt(int_level(x_139),n0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ1_spl
| ~ gt(int_level(x_139),n0) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f508,plain,
( int_level(plus(x_139,n1)) = int_level(x_139)
| ~ gt(int_level(x_139),n0)
| ~ p_Rd(x_139)
| p_Reset(x_139) ),
inference(resolution,[status(thm)],[f153,f193]) ).
fof(f509,definition,
( sQ27_spl
<=> p_Reset(x_139) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ27_spl
| p_Reset(x_139) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ28_spl
<=> p_Rd(x_139) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ28_spl
| ~ p_Rd(x_139) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ29_spl
<=> int_level(plus(x_139,n1)) = int_level(x_139) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ29_spl
| int_level(plus(x_139,n1)) = int_level(x_139) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ29_spl
| ~ sQ1_spl
| ~ sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f508,f509,f512,f239,f515]) ).
fof(f519,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f201]) ).
fof(f520,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f192]) ).
fof(f522,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f194]) ).
fof(f524,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f200]) ).
fof(f526,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f527,plain,
$false,
inference(sat_refutation,[status(thm)],[f518,f520,f522,f524,f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV015-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 20:51:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.055121 seconds
% 0.13/0.43 % CPU time: 0.182368 seconds
% 0.13/0.43 % Total memory used: 99.038 MB
% 0.13/0.43 % Net memory used: 98.851 MB
%------------------------------------------------------------------------------