TSTP Solution File: SET199-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET199-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:34:15 EDT 2023
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 26 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 (; 31 !; 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(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
subclass(z,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
subclass(z,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ subclass(z,intersection(x,y)),
file('/export/starexec/sandbox2/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(f119,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f247,plain,
subclass(z,x),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f248,plain,
subclass(z,y),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f249,plain,
~ subclass(z,intersection(x,y)),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f273,plain,
! [X0] :
( ~ member(X0,z)
| member(X0,y) ),
inference(resolution,[status(thm)],[f117,f248]) ).
fof(f274,plain,
! [X0] :
( ~ member(X0,z)
| member(X0,x) ),
inference(resolution,[status(thm)],[f117,f247]) ).
fof(f314,plain,
! [X0] :
( subclass(z,X0)
| member(not_subclass_element(z,X0),x) ),
inference(resolution,[status(thm)],[f118,f274]) ).
fof(f315,plain,
! [X0] :
( subclass(z,X0)
| member(not_subclass_element(z,X0),y) ),
inference(resolution,[status(thm)],[f118,f273]) ).
fof(f330,plain,
! [X0,X1] :
( subclass(z,X0)
| ~ member(not_subclass_element(z,X0),X1)
| member(not_subclass_element(z,X0),intersection(x,X1)) ),
inference(resolution,[status(thm)],[f314,f147]) ).
fof(f338,plain,
! [X0] :
( subclass(z,X0)
| member(not_subclass_element(z,X0),intersection(x,y))
| subclass(z,X0) ),
inference(resolution,[status(thm)],[f330,f315]) ).
fof(f339,plain,
! [X0] :
( subclass(z,X0)
| member(not_subclass_element(z,X0),intersection(x,y)) ),
inference(duplicate_literals_removal,[status(esa)],[f338]) ).
fof(f354,plain,
( spl0_6
<=> subclass(z,intersection(x,y)) ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( subclass(z,intersection(x,y))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( subclass(z,intersection(x,y))
| subclass(z,intersection(x,y)) ),
inference(resolution,[status(thm)],[f339,f119]) ).
fof(f358,plain,
spl0_6,
inference(split_clause,[status(thm)],[f357,f354]) ).
fof(f363,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f249]) ).
fof(f364,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f363]) ).
fof(f365,plain,
$false,
inference(sat_refutation,[status(thm)],[f358,f364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET199-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n028.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:29:47 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.44 % Elapsed time: 0.126669 seconds
% 0.15/0.44 % CPU time: 0.362229 seconds
% 0.15/0.44 % Memory used: 36.451 MB
%------------------------------------------------------------------------------