%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:46:00 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 7 unt; 5 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 128 ( 51 ~; 72 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X_t_37,X_k1_40] :
( ~ p_Data_out(X_k1_40,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X_t_42,X_k1_64] :
( p_Data_out(X_k1_64,X_t_42)
| ~ p_Data_out(X_k1_64,plus(X_t_42,n1))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X_t_42,X_k1_64] :
( ~ p_Data_out(X_k1_64,X_t_42)
| p_Data_out(X_k1_64,plus(X_t_42,n1))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [X_t_42,X_k1_119] :
( p_Data_out(X_k1_119,X_t_42)
| ~ p_Data_out(X_k1_119,plus(X_t_42,n1))
| p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [X_t_42,X_k1_119] :
( ~ p_Data_out(X_k1_119,X_t_42)
| p_Data_out(X_k1_119,plus(X_t_42,n1))
| 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,
~ p_Rd(x_140),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ p_Reset(x_140),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
( ~ p_Data_out(x_139,plus(x_140,n1))
| ~ p_Data_out(x_139,x_140) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,x_140) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f130,plain,
! [X_t_37] :
( ! [X_k1_40] : ~ p_Data_out(X_k1_40,plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p_Data_out(X1,plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f146,plain,
! [X0,X1] :
( p_Data_out(X1,X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f147,plain,
! [X0,X1] :
( ~ p_Data_out(X1,X0)
| p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f182,plain,
! [X0,X1] :
( p_Data_out(X1,X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f183,plain,
! [X0,X1] :
( ~ p_Data_out(X1,X0)
| p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f190,plain,
~ p_Rd(x_140),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
~ p_Reset(x_140),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f192,plain,
( ~ p_Data_out(x_139,plus(x_140,n1))
| ~ p_Data_out(x_139,x_140) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f193,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,x_140) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f194,definition,
( sQ0_spl
<=> p_Data_out(x_139,x_140) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ0_spl
| p_Data_out(x_139,x_140) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ1_spl
<=> p_Data_out(x_139,plus(x_140,n1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ1_spl
| p_Data_out(x_139,plus(x_140,n1)) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f192,f194,f197]) ).
fof(f201,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f193,f194,f197]) ).
fof(f206,plain,
! [X0,X1] :
( p_Data_out(X1,X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f131]) ).
fof(f209,plain,
! [X0,X1] :
( p_Data_out(X1,X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f206,f210]) ).
fof(f210,plain,
! [X0,X1] :
( p_Data_out(X1,X0)
| ~ p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f131]) ).
fof(f211,plain,
! [X0,X1] :
( ~ p_Data_out(X1,X0)
| p_Data_out(X1,plus(X0,n1))
| p_Rd(X0)
| p_Reset(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f147]) ).
fof(f212,plain,
! [X0] :
( ~ p_Data_out(X0,x_140)
| p_Data_out(X0,plus(x_140,n1))
| p_Reset(x_140) ),
inference(resolution,[status(thm)],[f211,f190]) ).
fof(f213,definition,
( sQ2_spl
<=> p_Reset(x_140) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ2_spl
| p_Reset(x_140) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
! [X0] :
( sQ3_spl
<=> ( ~ p_Data_out(X0,x_140)
| p_Data_out(X0,plus(x_140,n1)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f217,plain,
! [X0] :
( ~ sQ3_spl
| ~ p_Data_out(X0,x_140)
| p_Data_out(X0,plus(x_140,n1)) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f212,f213,f216]) ).
fof(f220,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f191]) ).
fof(f221,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f240,plain,
( ~ sQ1_spl
| p_Data_out(x_139,x_140)
| p_Rd(x_140) ),
inference(resolution,[status(thm)],[f198,f209]) ).
fof(f241,definition,
( sQ6_spl
<=> p_Rd(x_140) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ6_spl
| p_Rd(x_140) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ1_spl
| sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f240,f241,f194,f197]) ).
fof(f245,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f190]) ).
fof(f246,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| p_Data_out(x_139,plus(x_140,n1)) ),
inference(resolution,[status(thm)],[f217,f195]) ).
fof(f248,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f247,f197,f216,f194]) ).
fof(f249,plain,
$false,
inference(sat_refutation,[status(thm)],[f200,f201,f219,f221,f244,f246,f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:48:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.069804 seconds
% 0.12/0.44 % CPU time: 0.186580 seconds
% 0.12/0.44 % Total memory used: 105.009 MB
% 0.12/0.44 % Net memory used: 104.922 MB
%------------------------------------------------------------------------------