TSTP Solution File: SET195-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:39:23 EDT 2024
% Result : Unsatisfiable 174.13s 22.31s
% Output : CNFRefutation 175.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 9 unt; 0 def)
% Number of atoms : 118 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 53 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 116 ( 116 !; 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(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,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,
~ subclass(y,union(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f119,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f148,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f245,plain,
~ subclass(y,union(x,y)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f246,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f119]) ).
fof(f6959,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f116,f115]) ).
fof(f6987,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ subclass(intersection(X1,X2),X3)
| member(X0,X3) ),
inference(resolution,[status(thm)],[f145,f115]) ).
fof(f7055,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f6987,f118]) ).
fof(f7216,plain,
! [X0,X1,X2] :
( ~ member(not_subclass_element(X0,X1),X2)
| subclass(X0,X1)
| ~ subclass(X0,complement(X2)) ),
inference(resolution,[status(thm)],[f146,f6959]) ).
fof(f7254,plain,
! [X0,X1,X2] :
( ~ member(X0,universal_class)
| member(X0,union(X1,X2))
| member(X0,intersection(complement(X1),complement(X2))) ),
inference(paramodulation,[status(thm)],[f148,f147]) ).
fof(f8704,plain,
! [X0,X1,X2] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,union(X2,X1)) ),
inference(resolution,[status(thm)],[f144,f7254]) ).
fof(f9596,plain,
! [X0,X1,X2] :
( ~ member(not_subclass_element(X0,X1),X2)
| member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f7055,f116]) ).
fof(f9671,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f9596,f116]) ).
fof(f9672,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f9671]) ).
fof(f26091,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f147,f117]) ).
fof(f26092,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f26091,f9672]) ).
fof(f26118,plain,
! [X0,X1,X2] :
( subclass(X0,complement(X1))
| ~ subclass(X1,X2)
| member(not_subclass_element(X0,complement(X1)),X2) ),
inference(resolution,[status(thm)],[f26092,f115]) ).
fof(f29430,plain,
! [X0,X1,X2] :
( subclass(X0,complement(X1))
| ~ subclass(X1,X2)
| subclass(X0,complement(X1))
| ~ subclass(X0,complement(X2)) ),
inference(resolution,[status(thm)],[f26118,f7216]) ).
fof(f29431,plain,
! [X0,X1,X2] :
( subclass(X0,complement(X1))
| ~ subclass(X1,X2)
| ~ subclass(X0,complement(X2)) ),
inference(duplicate_literals_removal,[status(esa)],[f29430]) ).
fof(f29436,plain,
! [X0,X1,X2] :
( subclass(X0,complement(X1))
| ~ subclass(X1,complement(X2))
| ~ member(not_subclass_element(X0,complement(X1)),X2) ),
inference(resolution,[status(thm)],[f26118,f146]) ).
fof(f29560,plain,
! [X0,X1] :
( subclass(complement(X0),complement(X1))
| ~ subclass(X1,X0) ),
inference(resolution,[status(thm)],[f29431,f246]) ).
fof(f57375,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| ~ subclass(X1,complement(X0))
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f29436,f116]) ).
fof(f57376,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| ~ subclass(X1,complement(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f57375]) ).
fof(f57421,plain,
! [X0,X1] :
( subclass(X0,complement(complement(X1)))
| ~ subclass(X0,X1) ),
inference(resolution,[status(thm)],[f57376,f29560]) ).
fof(f83955,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,union(X1,X2)),complement(X2))
| ~ member(not_subclass_element(X0,union(X1,X2)),universal_class)
| subclass(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[f8704,f117]) ).
fof(f83956,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,union(X1,X2)),complement(X2))
| subclass(X0,union(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f83955,f9672]) ).
fof(f84236,plain,
! [X0,X1,X2] :
( subclass(X0,union(X1,X2))
| subclass(X0,union(X1,X2))
| ~ subclass(X0,complement(complement(X2))) ),
inference(resolution,[status(thm)],[f83956,f7216]) ).
fof(f84237,plain,
! [X0,X1,X2] :
( subclass(X0,union(X1,X2))
| ~ subclass(X0,complement(complement(X2))) ),
inference(duplicate_literals_removal,[status(esa)],[f84236]) ).
fof(f84352,plain,
! [X0,X1,X2] :
( subclass(X0,union(X1,X2))
| ~ subclass(X0,X2) ),
inference(resolution,[status(thm)],[f84237,f57421]) ).
fof(f84379,plain,
~ subclass(y,y),
inference(resolution,[status(thm)],[f84352,f245]) ).
fof(f84380,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f84379,f246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:53:26 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 174.13/22.31 % Refutation found
% 174.13/22.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 174.13/22.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 177.12/22.90 % Elapsed time: 22.568604 seconds
% 177.12/22.90 % CPU time: 176.519101 seconds
% 177.12/22.90 % Total memory used: 2.425 GB
% 177.12/22.90 % Net memory used: 2.380 GB
%------------------------------------------------------------------------------