%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:45:59 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 9 unt; 2 def)
% Number of atoms : 78 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 43 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X_25] :
( gt(X_25,n0)
| X_25 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
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(f52,axiom,
! [X_t_42] :
( ~ p_Rd_error(plus(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(f70,axiom,
! [X_t_42] :
( ~ p_Rd_error(plus(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,
p_Rd_error(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ p_Empty(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,plain,
! [X0] :
( gt(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f121,plain,
! [X0] :
( p_Empty(X0)
| int_level(X0) != n0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f127,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f151,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f169,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f190,plain,
p_Rd_error(plus(t_139,n1)),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
p_Rd(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f193,plain,
~ p_Empty(t_139),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f201,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f127]) ).
fof(f227,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| int_level(X0) = n0 ),
inference(resolution,[status(thm)],[f112,f201]) ).
fof(f249,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f127]) ).
fof(f250,plain,
! [X0] :
( int_level(X0) = n0
| ~ p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0)
| p_Wr(X0) ),
inference(resolution,[status(thm)],[f249,f112]) ).
fof(f251,plain,
! [X0] :
( int_level(X0) = n0
| ~ p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f227]) ).
fof(f252,plain,
( int_level(t_139) = n0
| ~ p_Rd_error(plus(t_139,n1)) ),
inference(resolution,[status(thm)],[f251,f191]) ).
fof(f254,definition,
( sQ8_spl
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ8_spl
| ~ p_Rd_error(plus(t_139,n1)) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ9_spl
<=> int_level(t_139) = n0 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ9_spl
| int_level(t_139) = n0 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f252,f254,f257]) ).
fof(f261,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f190]) ).
fof(f262,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( ~ sQ9_spl
| p_Empty(t_139) ),
inference(resolution,[status(thm)],[f258,f121]) ).
fof(f266,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f193]) ).
fof(f267,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
$false,
inference(sat_refutation,[status(thm)],[f260,f262,f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:50:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.060568 seconds
% 0.14/0.42 % CPU time: 0.162654 seconds
% 0.14/0.42 % Total memory used: 104.972 MB
% 0.14/0.42 % Net memory used: 104.879 MB
%------------------------------------------------------------------------------