TSTP Solution File: SET064-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET064-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:38:56 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 18 unt; 0 def)
% Number of atoms : 115 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 39 ~; 47 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 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(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
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(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X] :
( X = null_class
| intersection(X,regular(X)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f97,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f121,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f126,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f152,plain,
inductive(omega),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f169,plain,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f177,plain,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f199,plain,
z != null_class,
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f200,plain,
~ member(not_subclass_element(z,null_class),z),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f204,plain,
subclass(z,null_class),
inference(resolution,[status(thm)],[f96,f200]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| member(not_subclass_element(X0,X2),X1)
| subclass(X0,X2) ),
inference(resolution,[status(thm)],[f95,f96]) ).
fof(f226,plain,
( spl0_2
<=> subclass(null_class,z) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( ~ subclass(null_class,z)
| spl0_2 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_3
<=> null_class = z ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( null_class = z
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ subclass(null_class,z)
| null_class = z ),
inference(resolution,[status(thm)],[f101,f204]) ).
fof(f233,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f232,f226,f229]) ).
fof(f246,plain,
! [X0,X1] :
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(resolution,[status(thm)],[f126,f96]) ).
fof(f265,plain,
! [X0,X1] :
( subclass(complement(X0),X1)
| ~ subclass(complement(X0),X0)
| subclass(complement(X0),X1) ),
inference(resolution,[status(thm)],[f246,f210]) ).
fof(f266,plain,
! [X0,X1] :
( subclass(complement(X0),X1)
| ~ subclass(complement(X0),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f265]) ).
fof(f267,plain,
! [X0] : subclass(complement(universal_class),X0),
inference(resolution,[status(thm)],[f266,f98]) ).
fof(f281,plain,
! [X0] :
( ~ subclass(X0,complement(universal_class))
| X0 = complement(universal_class) ),
inference(resolution,[status(thm)],[f267,f101]) ).
fof(f302,plain,
( spl0_11
<=> complement(universal_class) = null_class ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f199]) ).
fof(f406,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f405]) ).
fof(f482,plain,
( spl0_29
<=> inductive(omega) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( ~ inductive(omega)
| spl0_29 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f488,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f152]) ).
fof(f489,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f488]) ).
fof(f584,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f122,f96]) ).
fof(f591,plain,
! [X0] :
( ~ member(X0,identity_relation)
| member(X0,subset_relation) ),
inference(paramodulation,[status(thm)],[f177,f124]) ).
fof(f610,plain,
! [X0] :
( member(not_subclass_element(identity_relation,X0),subset_relation)
| subclass(identity_relation,X0) ),
inference(resolution,[status(thm)],[f591,f96]) ).
fof(f1059,plain,
( spl0_110
<=> subclass(identity_relation,subset_relation) ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( subclass(identity_relation,subset_relation)
| subclass(identity_relation,subset_relation) ),
inference(resolution,[status(thm)],[f610,f97]) ).
fof(f1063,plain,
spl0_110,
inference(split_clause,[status(thm)],[f1062,f1059]) ).
fof(f1081,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[status(thm)],[f584,f97]) ).
fof(f1082,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literals_removal,[status(esa)],[f1081]) ).
fof(f1129,plain,
! [X0] :
( subclass(null_class,X0)
| X0 = null_class ),
inference(paramodulation,[status(thm)],[f169,f1082]) ).
fof(f1162,plain,
( z = null_class
| spl0_2 ),
inference(resolution,[status(thm)],[f1129,f228]) ).
fof(f1163,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f1162,f229,f226]) ).
fof(f1197,plain,
( complement(universal_class) = null_class
| null_class = complement(universal_class) ),
inference(resolution,[status(thm)],[f1129,f281]) ).
fof(f1198,plain,
spl0_11,
inference(split_clause,[status(thm)],[f1197,f302]) ).
fof(f1212,plain,
$false,
inference(sat_refutation,[status(thm)],[f233,f406,f489,f1063,f1163,f1198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET064-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:31:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.40 % Refutation found
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42 % Elapsed time: 0.063086 seconds
% 0.21/0.42 % CPU time: 0.355435 seconds
% 0.21/0.42 % Total memory used: 64.395 MB
% 0.21/0.42 % Net memory used: 64.240 MB
%------------------------------------------------------------------------------