%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET146-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:09:29 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 5 unt; 4 def)
% Number of atoms : 74 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X] :
( intersection(X,regular(X)) = null_class
| X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
intersection(null_class,x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f141,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f142,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f189,plain,
! [X0] :
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f245,plain,
intersection(null_class,x) != null_class,
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f253,plain,
( ~ subclass(null_class,intersection(null_class,x))
| ~ subclass(intersection(null_class,x),null_class) ),
inference(resolution,[status(thm)],[f121,f245]) ).
fof(f255,definition,
( sQ0_spl
<=> subclass(intersection(null_class,x),null_class) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ0_spl
| ~ subclass(intersection(null_class,x),null_class) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ1_spl
<=> subclass(null_class,intersection(null_class,x)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ1_spl
| ~ subclass(null_class,intersection(null_class,x)) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f253,f255,f258]) ).
fof(f272,plain,
( sQ0_spl
| ~ member(not_subclass_element(intersection(null_class,x),null_class),null_class) ),
inference(resolution,[status(thm)],[f257,f117]) ).
fof(f276,plain,
! [X0] :
( sQ0_spl
| ~ member(not_subclass_element(intersection(null_class,x),null_class),intersection(null_class,X0)) ),
inference(resolution,[status(thm)],[f272,f142]) ).
fof(f319,plain,
( sQ1_spl
| ~ member(not_subclass_element(null_class,intersection(null_class,x)),intersection(null_class,x)) ),
inference(resolution,[status(thm)],[f260,f117]) ).
fof(f323,plain,
! [X0] :
( sQ1_spl
| ~ member(not_subclass_element(null_class,intersection(null_class,x)),intersection(intersection(null_class,x),X0)) ),
inference(resolution,[status(thm)],[f319,f142]) ).
fof(f324,definition,
( sQ6_spl
<=> member(not_subclass_element(null_class,intersection(null_class,x)),null_class) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ6_spl
| ~ member(not_subclass_element(null_class,intersection(null_class,x)),null_class) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f533,plain,
( sQ6_spl
| subclass(null_class,intersection(null_class,x)) ),
inference(resolution,[status(thm)],[f326,f116]) ).
fof(f538,plain,
( sQ6_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f260]) ).
fof(f539,plain,
( sQ6_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f667,plain,
( sQ1_spl
| intersection(null_class,x) = null_class
| ~ member(not_subclass_element(null_class,intersection(null_class,x)),null_class) ),
inference(paramodulation,[status(thm)],[f189,f323]) ).
fof(f669,definition,
( sQ42_spl
<=> intersection(null_class,x) = null_class ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ42_spl
| intersection(null_class,x) = null_class ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( sQ1_spl
| sQ42_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f667,f324,f669,f258]) ).
fof(f673,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f245]) ).
fof(f674,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f748,plain,
( sQ0_spl
| subclass(intersection(null_class,x),null_class) ),
inference(resolution,[status(thm)],[f276,f116]) ).
fof(f754,plain,
sQ0_spl,
inference(split_clause,[status(thm)],[f748,f255]) ).
fof(f757,plain,
$false,
inference(sat_refutation,[status(thm)],[f261,f539,f672,f674,f754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET146-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n011.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 04:56:25 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.54 % Elapsed time: 0.071152 seconds
% 0.22/0.54 % CPU time: 0.259913 seconds
% 0.22/0.54 % Total memory used: 74.841 MB
% 0.22/0.54 % Net memory used: 74.665 MB
%------------------------------------------------------------------------------