TSTP Solution File: SET071-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:33:51 EDT 2023
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 82 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 26 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| U = X
| U = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [X] :
( ~ subclass(X,null_class)
| X = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,axiom,
! [Y,X] :
( member(Y,universal_class)
| unordered_pair(X,Y) = singleton(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
unordered_pair(x,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f120,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f124,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f131,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f239,plain,
! [X0] :
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f245,plain,
! [Y] :
( member(Y,universal_class)
| ! [X] : unordered_pair(X,Y) = singleton(X) ),
inference(miniscoping,[status(esa)],[f111]) ).
fof(f246,plain,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X1,X0) = singleton(X1) ),
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f249,plain,
unordered_pair(x,y) != null_class,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f250,plain,
~ member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f251,plain,
~ member(y,universal_class),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f277,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f131,f125]) ).
fof(f278,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(duplicate_literals_removal,[status(esa)],[f277]) ).
fof(f290,plain,
! [X0,X1] :
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(resolution,[status(thm)],[f278,f118]) ).
fof(f310,plain,
! [X0,X1] :
( member(X0,singleton(X0))
| subclass(singleton(X0),X1)
| subclass(singleton(X0),X1) ),
inference(paramodulation,[status(thm)],[f290,f118]) ).
fof(f311,plain,
! [X0,X1] :
( member(X0,singleton(X0))
| subclass(singleton(X0),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f310]) ).
fof(f314,plain,
! [X0,X1,X2] :
( subclass(singleton(X0),X1)
| ~ subclass(singleton(X0),X2)
| member(X0,X2) ),
inference(resolution,[status(thm)],[f311,f117]) ).
fof(f363,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f314,f120]) ).
fof(f372,plain,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
inference(resolution,[status(thm)],[f363,f239]) ).
fof(f2043,plain,
( spl0_119
<=> singleton(x) = null_class ),
introduced(split_symbol_definition) ).
fof(f2045,plain,
( singleton(x) != null_class
| spl0_119 ),
inference(component_clause,[status(thm)],[f2043]) ).
fof(f2046,plain,
( spl0_120
<=> member(y,universal_class) ),
introduced(split_symbol_definition) ).
fof(f2047,plain,
( member(y,universal_class)
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f2046]) ).
fof(f2049,plain,
( singleton(x) != null_class
| member(y,universal_class) ),
inference(paramodulation,[status(thm)],[f246,f249]) ).
fof(f2050,plain,
( ~ spl0_119
| spl0_120 ),
inference(split_clause,[status(thm)],[f2049,f2043,f2046]) ).
fof(f2337,plain,
( member(x,universal_class)
| spl0_119 ),
inference(resolution,[status(thm)],[f2045,f372]) ).
fof(f2338,plain,
( $false
| spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f2337,f250]) ).
fof(f2339,plain,
spl0_119,
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2340,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f2047,f251]) ).
fof(f2341,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2342,plain,
$false,
inference(sat_refutation,[status(thm)],[f2050,f2339,f2341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Tue May 30 10:15:31 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.10/0.29 % Drodi V3.5.1
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.35 % Elapsed time: 0.066622 seconds
% 0.13/0.35 % CPU time: 0.382067 seconds
% 0.13/0.35 % Memory used: 32.159 MB
%------------------------------------------------------------------------------