%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET147-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 6 unt; 4 def)
% Number of atoms : 96 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 90 ( 39 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
intersection(universal_class,x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
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(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f143,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f144,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f245,plain,
intersection(universal_class,x) != x,
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f253,plain,
( ~ subclass(x,intersection(universal_class,x))
| ~ subclass(intersection(universal_class,x),x) ),
inference(resolution,[status(thm)],[f121,f245]) ).
fof(f255,definition,
( sQ0_spl
<=> subclass(intersection(universal_class,x),x) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ0_spl
| ~ subclass(intersection(universal_class,x),x) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ1_spl
<=> subclass(x,intersection(universal_class,x)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ1_spl
| ~ subclass(x,intersection(universal_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(universal_class,x),x),x) ),
inference(resolution,[status(thm)],[f257,f117]) ).
fof(f274,plain,
! [X0] :
( sQ0_spl
| ~ member(not_subclass_element(intersection(universal_class,x),x),intersection(X0,x)) ),
inference(resolution,[status(thm)],[f272,f144]) ).
fof(f312,plain,
( sQ0_spl
| subclass(intersection(universal_class,x),x) ),
inference(resolution,[status(thm)],[f274,f116]) ).
fof(f317,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f257]) ).
fof(f318,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f321,plain,
( sQ1_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),intersection(universal_class,x)) ),
inference(resolution,[status(thm)],[f260,f117]) ).
fof(f325,plain,
( sQ1_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),x)
| ~ member(not_subclass_element(x,intersection(universal_class,x)),universal_class) ),
inference(resolution,[status(thm)],[f321,f145]) ).
fof(f329,definition,
( sQ7_spl
<=> member(not_subclass_element(x,intersection(universal_class,x)),universal_class) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ7_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),universal_class) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ8_spl
<=> member(not_subclass_element(x,intersection(universal_class,x)),x) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ8_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),x) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ1_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f325,f329,f332,f258]) ).
fof(f425,plain,
! [X0] :
( sQ7_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[status(thm)],[f331,f115]) ).
fof(f428,plain,
! [X0] :
( sQ7_spl
| ~ member(not_subclass_element(x,intersection(universal_class,x)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f118]) ).
fof(f429,plain,
( sQ7_spl
| subclass(x,intersection(universal_class,x)) ),
inference(resolution,[status(thm)],[f428,f116]) ).
fof(f438,plain,
( sQ7_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f260]) ).
fof(f439,plain,
( sQ7_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f438]) ).
fof(f443,plain,
( sQ8_spl
| subclass(x,intersection(universal_class,x)) ),
inference(resolution,[status(thm)],[f334,f116]) ).
fof(f447,plain,
( sQ8_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f260]) ).
fof(f448,plain,
( sQ8_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f449,plain,
$false,
inference(sat_refutation,[status(thm)],[f261,f318,f335,f439,f448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET147-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:51:56 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.54 % Refutation found
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.58 % Elapsed time: 0.117185 seconds
% 0.24/0.58 % CPU time: 0.452293 seconds
% 0.24/0.58 % Total memory used: 84.822 MB
% 0.24/0.58 % Net memory used: 84.331 MB
%------------------------------------------------------------------------------