%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:09:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.84s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 69 ( 69 !; 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(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(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(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
subclass(x1,x2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ subclass(restrict(x1,y,z),restrict(x2,y,z)),
file('/export/starexec/sandbox/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] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f118,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
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(f144,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f145,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f152,plain,
! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f246,plain,
subclass(x1,x2),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ subclass(restrict(x1,y,z),restrict(x2,y,z)),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f252,plain,
! [X0] :
( member(X0,x2)
| ~ member(X0,x1) ),
inference(resolution,[status(thm)],[f116,f246]) ).
fof(f380,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X0) ),
inference(resolution,[status(thm)],[f143,f117]) ).
fof(f388,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f145,f117]) ).
fof(f449,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[status(thm)],[f146,f118]) ).
fof(f2460,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,x2)),x1)
| subclass(X0,intersection(X1,x2))
| ~ member(not_subclass_element(X0,intersection(X1,x2)),X1) ),
inference(resolution,[status(thm)],[f449,f252]) ).
fof(f2601,plain,
! [X0,X1] :
( subclass(intersection(X0,x1),intersection(X1,x2))
| subclass(intersection(X0,x1),intersection(X1,x2))
| ~ member(not_subclass_element(intersection(X0,x1),intersection(X1,x2)),X1) ),
inference(resolution,[status(thm)],[f2460,f388]) ).
fof(f2611,plain,
! [X0,X1] :
( subclass(intersection(X0,x1),intersection(X1,x2))
| ~ member(not_subclass_element(intersection(X0,x1),intersection(X1,x2)),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f2601]) ).
fof(f3090,plain,
! [X0] :
( subclass(intersection(X0,x1),intersection(X0,x2))
| subclass(intersection(X0,x1),intersection(X0,x2)) ),
inference(resolution,[status(thm)],[f2611,f380]) ).
fof(f3125,plain,
! [X0] : subclass(intersection(X0,x1),intersection(X0,x2)),
inference(duplicate_literals_removal,[status(thm)],[f3090]) ).
fof(f3156,plain,
! [X0,X1] : subclass(restrict(x1,X0,X1),intersection(cross_product(X0,X1),x2)),
inference(paramodulation,[status(thm)],[f152,f3125]) ).
fof(f3161,plain,
! [X0,X1] : subclass(restrict(x1,X0,X1),restrict(x2,X0,X1)),
inference(forward_demodulation,[status(thm)],[f152,f3156]) ).
fof(f3958,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f247,f3161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36 % Computer : n010.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.36 % DateTime : Mon Sep 21 05:03:20 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.38 % Drodi V4.1.1
% 0.12/5.84 % Refutation found
% 0.12/5.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.86 % Elapsed time: 0.489034 seconds
% 0.12/5.86 % CPU time: 3.545393 seconds
% 0.12/5.86 % Total memory used: 159.711 MB
% 0.12/5.86 % Net memory used: 152.136 MB
%------------------------------------------------------------------------------