%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET244-6 : 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 02:09:42 PM UTC 2026
% Result : Unsatisfiable 180.92s 23.45s
% Output : CNFRefutation 180.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 67 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 25 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 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/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(f4,axiom,
! [X] : subclass(X,universal_class),
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(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
restrict(universal_class,x,y) != cross_product(x,y),
file('/export/starexec/sandbox2/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(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(f145,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f151,plain,
! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f245,plain,
restrict(universal_class,x,y) != cross_product(x,y),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f256,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f115,f118]) ).
fof(f663,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[status(thm)],[f256,f116]) ).
fof(f697,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X0) ),
inference(resolution,[status(thm)],[f142,f116]) ).
fof(f734,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),intersection(X0,X2))
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f145,f116]) ).
fof(f7386,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[status(thm)],[f697,f117]) ).
fof(f7445,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literals_removal,[status(thm)],[f7386]) ).
fof(f7782,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subclass(X0,intersection(X0,X1)) ),
inference(resolution,[status(thm)],[f7445,f121]) ).
fof(f7893,plain,
! [X0,X1] :
( subclass(X0,X1)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),intersection(X0,universal_class)) ),
inference(resolution,[status(thm)],[f734,f663]) ).
fof(f7908,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),intersection(X0,universal_class)) ),
inference(duplicate_literals_removal,[status(thm)],[f7893]) ).
fof(f50181,plain,
! [X0] :
( subclass(X0,intersection(X0,universal_class))
| subclass(X0,intersection(X0,universal_class)) ),
inference(resolution,[status(thm)],[f7908,f117]) ).
fof(f50237,plain,
! [X0] : subclass(X0,intersection(X0,universal_class)),
inference(duplicate_literals_removal,[status(thm)],[f50181]) ).
fof(f50245,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[status(thm)],[f50237,f7782]) ).
fof(f50270,plain,
! [X0,X1] : restrict(universal_class,X0,X1) = cross_product(X0,X1),
inference(paramodulation,[status(thm)],[f151,f50245]) ).
fof(f50614,plain,
cross_product(x,y) != cross_product(x,y),
inference(backward_demodulation,[status(thm)],[f50270,f245]) ).
fof(f50670,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f50614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET244-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 05:05:47 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 180.92/23.45 % Refutation found
% 180.92/23.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 180.92/23.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 180.92/23.56 % Elapsed time: 23.115963 seconds
% 180.92/23.56 % CPU time: 182.453145 seconds
% 180.92/23.56 % Total memory used: 653.385 MB
% 180.92/23.56 % Net memory used: 571.629 MB
%------------------------------------------------------------------------------