%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET191-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:09:36 PM UTC 2026
% Result : Unsatisfiable 9.41s 1.69s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 15 unt; 0 def)
% Number of atoms : 106 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 52 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 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(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(f24,axiom,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] : intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))) = symmetric_difference(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
union(complement(x),y) = universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ subclass(x,y),
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(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
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(f147,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f149,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f150,plain,
! [X0,X1] : intersection(complement(intersection(X0,X1)),complement(intersection(complement(X0),complement(X1)))) = symmetric_difference(X0,X1),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f246,plain,
union(complement(x),y) = universal_class,
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ subclass(x,y),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f253,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f119,f116]) ).
fof(f270,plain,
! [X0,X1,X2] :
( member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f149,f148]) ).
fof(f488,plain,
! [X0,X1,X2] :
( member(X0,union(X2,X1))
| ~ member(X0,universal_class)
| member(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f145,f270]) ).
fof(f635,plain,
! [X0,X1] : intersection(complement(intersection(X0,X1)),union(X0,X1)) = symmetric_difference(X0,X1),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f636,plain,
! [X0,X1] : intersection(union(X0,X1),union(complement(X0),complement(X1))) = symmetric_difference(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f149,f635]) ).
fof(f646,plain,
! [X0,X1,X2] :
( member(X0,complement(intersection(X1,X2)))
| ~ member(X0,symmetric_difference(X1,X2)) ),
inference(paramodulation,[status(thm)],[f635,f143]) ).
fof(f731,plain,
intersection(universal_class,union(complement(complement(x)),complement(y))) = symmetric_difference(complement(complement(x)),complement(y)),
inference(paramodulation,[status(thm)],[f246,f636]) ).
fof(f804,plain,
! [X0] :
( member(X0,symmetric_difference(complement(complement(x)),complement(y)))
| ~ member(X0,union(complement(complement(x)),complement(y)))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f731,f146]) ).
fof(f807,plain,
! [X0] :
( member(X0,symmetric_difference(complement(complement(x)),complement(y)))
| ~ member(X0,union(complement(complement(x)),complement(y))) ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f253]) ).
fof(f1456,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| ~ member(X0,symmetric_difference(X1,X2)) ),
inference(resolution,[status(thm)],[f646,f147]) ).
fof(f2599,plain,
! [X0] :
( ~ member(X0,intersection(complement(complement(x)),complement(y)))
| ~ member(X0,union(complement(complement(x)),complement(y))) ),
inference(resolution,[status(thm)],[f807,f1456]) ).
fof(f10246,plain,
! [X0] :
( ~ member(X0,intersection(complement(complement(x)),complement(y)))
| ~ member(X0,universal_class)
| member(X0,complement(complement(y))) ),
inference(resolution,[status(thm)],[f488,f2599]) ).
fof(f10264,plain,
! [X0] :
( ~ member(X0,intersection(complement(complement(x)),complement(y)))
| member(X0,complement(complement(y))) ),
inference(forward_subsumption_resolution,[status(thm)],[f10246,f253]) ).
fof(f10728,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,complement(complement(x)))
| member(X0,complement(complement(y))) ),
inference(resolution,[status(thm)],[f10264,f146]) ).
fof(f10736,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,complement(complement(x))) ),
inference(forward_subsumption_resolution,[status(thm)],[f10728,f147]) ).
fof(f10752,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,universal_class)
| ~ member(X0,complement(y)) ),
inference(resolution,[status(thm)],[f10736,f148]) ).
fof(f10753,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,complement(y)) ),
inference(forward_subsumption_resolution,[status(thm)],[f10752,f253]) ).
fof(f10769,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,universal_class)
| member(X0,complement(x)) ),
inference(resolution,[status(thm)],[f10753,f148]) ).
fof(f11408,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,y)
| ~ member(X0,universal_class) ),
inference(resolution,[status(thm)],[f10769,f147]) ).
fof(f11414,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,y) ),
inference(forward_subsumption_resolution,[status(thm)],[f11408,f253]) ).
fof(f11429,plain,
! [X0] :
( subclass(X0,y)
| ~ member(not_subclass_element(X0,y),x) ),
inference(resolution,[status(thm)],[f11414,f118]) ).
fof(f11688,plain,
( subclass(x,y)
| subclass(x,y) ),
inference(resolution,[status(thm)],[f11429,f117]) ).
fof(f11694,plain,
subclass(x,y),
inference(duplicate_literals_removal,[status(thm)],[f11688]) ).
fof(f11695,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11694,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET191-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:59:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 9.41/1.69 % Refutation found
% 9.41/1.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.41/1.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.74/1.73 % Elapsed time: 1.352838 seconds
% 4.74/1.73 % CPU time: 10.336989 seconds
% 4.74/1.73 % Total memory used: 259.851 MB
% 4.74/1.73 % Net memory used: 243.836 MB
%------------------------------------------------------------------------------