TSTP Solution File: SET191-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET191-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:39:22 EDT 2024
% Result : Unsatisfiable 1.57s 0.61s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 97 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 50 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
union(complement(x),y) = universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f149,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f246,plain,
union(complement(x),y) = universal_class,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ subclass(x,y),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f248,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f120]) ).
fof(f255,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X2))
| ~ member(X0,intersection(complement(X1),complement(X2))) ),
inference(paramodulation,[status(thm)],[f149,f147]) ).
fof(f1144,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f117,f116]) ).
fof(f1271,plain,
! [X0,X1,X2] :
( ~ member(X0,complement(X1))
| ~ member(X0,complement(X2))
| ~ member(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[f146,f255]) ).
fof(f1589,plain,
! [X0] :
( ~ member(X0,complement(complement(x)))
| ~ member(X0,complement(y))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f246,f1271]) ).
fof(f1925,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| member(X0,complement(x)) ),
inference(resolution,[status(thm)],[f1589,f148]) ).
fof(f1926,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,universal_class)
| member(X0,complement(x)) ),
inference(duplicate_literals_removal,[status(esa)],[f1925]) ).
fof(f1938,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,complement(x))
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(resolution,[status(thm)],[f1926,f148]) ).
fof(f1939,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,complement(x))
| member(X0,y) ),
inference(duplicate_literals_removal,[status(esa)],[f1938]) ).
fof(f1947,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[status(thm)],[f1939,f147]) ).
fof(f1950,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),universal_class)
| member(not_subclass_element(X0,X1),y)
| subclass(X0,X1)
| ~ subclass(X0,x) ),
inference(resolution,[status(thm)],[f1947,f1144]) ).
fof(f1973,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),y)
| subclass(X0,X1)
| ~ subclass(X0,x)
| subclass(X0,X1)
| ~ subclass(X0,universal_class) ),
inference(resolution,[status(thm)],[f1950,f1144]) ).
fof(f1974,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),y)
| subclass(X0,X1)
| ~ subclass(X0,x)
| ~ subclass(X0,universal_class) ),
inference(duplicate_literals_removal,[status(esa)],[f1973]) ).
fof(f1975,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),y)
| subclass(X0,X1)
| ~ subclass(X0,x) ),
inference(forward_subsumption_resolution,[status(thm)],[f1974,f119]) ).
fof(f1983,plain,
! [X0] :
( subclass(X0,y)
| ~ subclass(X0,x)
| subclass(X0,y) ),
inference(resolution,[status(thm)],[f1975,f118]) ).
fof(f1984,plain,
! [X0] :
( subclass(X0,y)
| ~ subclass(X0,x) ),
inference(duplicate_literals_removal,[status(esa)],[f1983]) ).
fof(f1988,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f1984,f248]) ).
fof(f1989,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1988,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET191-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:14:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.18/0.36 % Drodi V3.6.0
% 1.57/0.61 % Refutation found
% 1.57/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.57/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.29/0.70 % Elapsed time: 0.348806 seconds
% 2.29/0.70 % CPU time: 2.429961 seconds
% 2.29/0.70 % Total memory used: 137.947 MB
% 2.29/0.70 % Net memory used: 137.046 MB
%------------------------------------------------------------------------------