%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET442-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:09:56 PM UTC 2026
% Result : Unsatisfiable 227.85s 29.58s
% Output : CNFRefutation 216.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 78 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 27 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Xr,X,Y] : intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [Xf] :
( subclass(Xf,cross_product(universal_class,universal_class))
| ~ function(Xf) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
function(xf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
restrict(xf,universal_class,universal_class) != xf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ subclass(X2,X1)
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f142,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f143,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
! [X0,X1,X2] :
( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f151,plain,
! [X0,X1,X2] : restrict(X0,X1,X2) = intersection(X0,cross_product(X1,X2)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f152,plain,
! [X0,X1,X2] : restrict(X0,X1,X2) = intersection(cross_product(X1,X2),X0),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f185,plain,
! [X0] :
( ~ function(X0)
| subclass(X0,cross_product(universal_class,universal_class)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f246,plain,
function(xf),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
xf != restrict(xf,universal_class,universal_class),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f251,plain,
subclass(xf,cross_product(universal_class,universal_class)),
inference(resolution,[status(thm)],[f185,f246]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,X1) ),
inference(paramodulation,[status(thm)],[f151,f143]) ).
fof(f348,plain,
! [X0,X1,X2,X3] :
( subclass(restrict(X0,X1,X2),X3)
| member(not_subclass_element(restrict(X0,X1,X2),X3),X0) ),
inference(resolution,[status(thm)],[f117,f334]) ).
fof(f449,plain,
! [X0,X1,X2] :
( ~ member(not_subclass_element(X0,X1),X2)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),intersection(X2,X0)) ),
inference(resolution,[status(thm)],[f146,f117]) ).
fof(f484,plain,
! [X0,X1,X2] :
( subclass(restrict(X0,X1,X2),X0)
| subclass(restrict(X0,X1,X2),X0) ),
inference(resolution,[status(thm)],[f348,f118]) ).
fof(f509,plain,
! [X0,X1,X2] : subclass(restrict(X0,X1,X2),X0),
inference(duplicate_literals_removal,[status(thm)],[f484]) ).
fof(f511,plain,
! [X0,X1,X2] :
( restrict(X0,X1,X2) = X0
| ~ subclass(X0,restrict(X0,X1,X2)) ),
inference(resolution,[status(thm)],[f509,f122]) ).
fof(f985,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f116,f117]) ).
fof(f8958,plain,
! [X0] :
( member(not_subclass_element(xf,X0),cross_product(universal_class,universal_class))
| subclass(xf,X0) ),
inference(resolution,[status(thm)],[f985,f251]) ).
fof(f9870,plain,
! [X0] :
( subclass(xf,X0)
| member(not_subclass_element(xf,X0),intersection(cross_product(universal_class,universal_class),xf))
| subclass(xf,X0) ),
inference(resolution,[status(thm)],[f8958,f449]) ).
fof(f9884,plain,
! [X0] :
( subclass(xf,X0)
| member(not_subclass_element(xf,X0),restrict(xf,universal_class,universal_class))
| subclass(xf,X0) ),
inference(forward_demodulation,[status(thm)],[f152,f9870]) ).
fof(f9885,plain,
! [X0] :
( subclass(xf,X0)
| member(not_subclass_element(xf,X0),restrict(xf,universal_class,universal_class)) ),
inference(duplicate_literals_removal,[status(thm)],[f9884]) ).
fof(f61205,plain,
( subclass(xf,restrict(xf,universal_class,universal_class))
| subclass(xf,restrict(xf,universal_class,universal_class)) ),
inference(resolution,[status(thm)],[f9885,f118]) ).
fof(f61242,plain,
subclass(xf,restrict(xf,universal_class,universal_class)),
inference(duplicate_literals_removal,[status(thm)],[f61205]) ).
fof(f61243,plain,
restrict(xf,universal_class,universal_class) = xf,
inference(resolution,[status(thm)],[f61242,f511]) ).
fof(f61249,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f61243,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET442-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 05:20:33 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 227.85/29.58 % Refutation found
% 227.85/29.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 227.85/29.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.96/30.34 % Elapsed time: 29.946975 seconds
% 14.96/30.34 % CPU time: 232.133364 seconds
% 14.96/30.34 % Total memory used: 756.137 MB
% 14.96/30.34 % Net memory used: 662.019 MB
%------------------------------------------------------------------------------