TSTP Solution File: SET059-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET059-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:33:46 EDT 2023
% Result : Unsatisfiable 0.16s 0.54s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 60 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 23 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 (; 24 !; 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(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f98,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f200,plain,
member(not_subclass_element(x,y),y),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f201,plain,
member(not_subclass_element(y,x),x),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f202,plain,
x != y,
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f207,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f98,f200]) ).
fof(f208,plain,
! [X0] :
( subclass(X0,X0)
| subclass(X0,X0) ),
inference(resolution,[status(thm)],[f98,f97]) ).
fof(f209,plain,
! [X0] : subclass(X0,X0),
inference(duplicate_literals_removal,[status(esa)],[f208]) ).
fof(f211,plain,
! [X0] :
( ~ subclass(x,X0)
| member(not_subclass_element(y,x),X0) ),
inference(resolution,[status(thm)],[f96,f201]) ).
fof(f214,plain,
( spl0_0
<=> subclass(x,x) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( ~ subclass(x,x)
| spl0_0 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( spl0_1
<=> subclass(y,x) ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( ~ subclass(x,x)
| subclass(y,x) ),
inference(resolution,[status(thm)],[f211,f98]) ).
fof(f221,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f220,f214,f217]) ).
fof(f223,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f209]) ).
fof(f224,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f231,plain,
( spl0_2
<=> y = x ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( y = x
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( ~ subclass(y,x)
| y = x ),
inference(resolution,[status(thm)],[f102,f207]) ).
fof(f235,plain,
( ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f234,f217,f231]) ).
fof(f242,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f202]) ).
fof(f243,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f224,f235,f243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET059-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.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 : Tue May 30 10:20:27 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.54 % Refutation found
% 0.16/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.016220 seconds
% 0.16/0.54 % CPU time: 0.015403 seconds
% 0.16/0.54 % Memory used: 3.804 MB
%------------------------------------------------------------------------------