TSTP Solution File: SET098-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:33:59 EDT 2023
% Result : Unsatisfiable 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 62 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 23 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| 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(f103,axiom,
! [Z] : ~ member(Z,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [X] :
( ~ subclass(X,null_class)
| X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,axiom,
! [X] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),intersection(complement(singleton(not_subclass_element(X,null_class))),X))
| singleton(not_subclass_element(X,null_class)) = X
| X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f143,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f174,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f266,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f268,plain,
! [X0] :
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f313,plain,
! [X0] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| singleton(not_subclass_element(X0,null_class)) = X0
| X0 = null_class ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f314,plain,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f315,plain,
singleton(not_subclass_element(x,null_class)) != x,
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f316,plain,
x != null_class,
inference(cnf_transformation,[status(esa)],[f144]) ).
fof(f346,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f175,f147]) ).
fof(f813,plain,
subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),
inference(resolution,[status(thm)],[f346,f314]) ).
fof(f831,plain,
intersection(complement(singleton(not_subclass_element(x,null_class))),x) = null_class,
inference(resolution,[status(thm)],[f813,f268]) ).
fof(f836,plain,
( spl0_39
<=> member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),null_class) ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),null_class)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( spl0_40
<=> singleton(not_subclass_element(x,null_class)) = x ),
introduced(split_symbol_definition) ).
fof(f840,plain,
( singleton(not_subclass_element(x,null_class)) = x
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( spl0_41
<=> x = null_class ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( x = null_class
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),null_class)
| singleton(not_subclass_element(x,null_class)) = x
| x = null_class ),
inference(paramodulation,[status(thm)],[f831,f313]) ).
fof(f846,plain,
( spl0_39
| spl0_40
| spl0_41 ),
inference(split_clause,[status(thm)],[f845,f836,f839,f842]) ).
fof(f875,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f316]) ).
fof(f876,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f877,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f315]) ).
fof(f878,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( member(not_subclass_element(null_class,null_class),null_class)
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f831,f837]) ).
fof(f880,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f266]) ).
fof(f881,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f882,plain,
$false,
inference(sat_refutation,[status(thm)],[f846,f876,f878,f881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:28:36 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.55 % Elapsed time: 0.034172 seconds
% 0.14/0.55 % CPU time: 0.030077 seconds
% 0.14/0.55 % Memory used: 4.260 MB
%------------------------------------------------------------------------------