%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:09:19 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 56 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 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(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [X] :
( X = null_class
| ~ subclass(X,null_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [Y,X] :
( Y = X
| ~ member(Y,singleton(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,axiom,
! [X,Y] :
( subclass(singleton(X),Y)
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f141,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f144,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f150,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f266,plain,
! [X0] :
( X0 = null_class
| ~ subclass(X0,null_class) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f294,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f309,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f310,plain,
subclass(x,singleton(y)),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f311,plain,
x != null_class,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f312,plain,
singleton(y) != x,
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f316,plain,
! [X0] :
( member(X0,singleton(y))
| ~ member(X0,x) ),
inference(resolution,[status(thm)],[f144,f310]) ).
fof(f321,plain,
( singleton(y) = x
| ~ subclass(singleton(y),x) ),
inference(resolution,[status(thm)],[f150,f310]) ).
fof(f324,plain,
~ subclass(singleton(y),x),
inference(forward_subsumption_resolution,[status(thm)],[f321,f312]) ).
fof(f356,plain,
! [X0] :
( ~ member(X0,x)
| X0 = y ),
inference(resolution,[status(thm)],[f294,f316]) ).
fof(f416,plain,
! [X0] :
( subclass(x,X0)
| not_subclass_element(x,X0) = y ),
inference(resolution,[status(thm)],[f356,f145]) ).
fof(f453,plain,
! [X0] :
( subclass(x,X0)
| subclass(x,X0)
| member(y,x) ),
inference(paramodulation,[status(thm)],[f416,f145]) ).
fof(f456,plain,
! [X0] :
( subclass(x,X0)
| member(y,x) ),
inference(duplicate_literals_removal,[status(thm)],[f453]) ).
fof(f463,plain,
( x = null_class
| member(y,x) ),
inference(resolution,[status(thm)],[f456,f266]) ).
fof(f467,plain,
member(y,x),
inference(forward_subsumption_resolution,[status(thm)],[f463,f311]) ).
fof(f492,plain,
~ member(y,x),
inference(resolution,[status(thm)],[f309,f324]) ).
fof(f499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f492,f467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n008.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 04:52:54 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.52 % Elapsed time: 0.064337 seconds
% 0.21/0.52 % CPU time: 0.198694 seconds
% 0.21/0.52 % Total memory used: 47.597 MB
% 0.21/0.52 % Net memory used: 47.496 MB
%------------------------------------------------------------------------------