TSTP Solution File: SET067-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:33:50 EDT 2023
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 82 ( 13 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 31 ~; 38 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 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(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(f9,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,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(f92,negated_conjecture,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f96,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f103,plain,
! [X] :
( ~ member(X,universal_class)
| ! [Y] : member(X,unordered_pair(X,Y)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f104,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f108,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f198,plain,
~ subclass(singleton(x),unordered_pair(x,y)),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f205,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f108,f102]) ).
fof(f206,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(duplicate_literals_removal,[status(esa)],[f205]) ).
fof(f225,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[status(thm)],[f95,f206]) ).
fof(f237,plain,
not_subclass_element(singleton(x),unordered_pair(x,y)) = x,
inference(resolution,[status(thm)],[f225,f198]) ).
fof(f241,plain,
( spl0_0
<=> member(x,unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( ~ member(x,unordered_pair(x,y))
| spl0_0 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( spl0_1
<=> subclass(singleton(x),unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( subclass(singleton(x),unordered_pair(x,y))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ member(x,unordered_pair(x,y))
| subclass(singleton(x),unordered_pair(x,y)) ),
inference(paramodulation,[status(thm)],[f237,f96]) ).
fof(f248,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f247,f241,f244]) ).
fof(f249,plain,
( spl0_2
<=> member(x,singleton(x)) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( member(x,singleton(x))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( member(x,singleton(x))
| subclass(singleton(x),unordered_pair(x,y)) ),
inference(paramodulation,[status(thm)],[f237,f95]) ).
fof(f253,plain,
( spl0_2
| spl0_1 ),
inference(split_clause,[status(thm)],[f252,f249,f244]) ).
fof(f254,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f198]) ).
fof(f255,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( ~ member(x,universal_class)
| spl0_0 ),
inference(resolution,[status(thm)],[f243,f104]) ).
fof(f258,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0)
| spl0_0 ),
inference(resolution,[status(thm)],[f256,f94]) ).
fof(f259,plain,
! [X0] :
( ~ member(x,X0)
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f97]) ).
fof(f264,plain,
( $false
| spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f259]) ).
fof(f265,plain,
( spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f264]) ).
fof(f266,plain,
$false,
inference(sat_refutation,[status(thm)],[f248,f253,f255,f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:11:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.026541 seconds
% 0.12/0.37 % CPU time: 0.043067 seconds
% 0.12/0.37 % Memory used: 15.136 MB
%------------------------------------------------------------------------------