TSTP Solution File: SET067-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 0.11s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 99 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 34 ~; 46 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 66 (; 66 !; 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(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| U = X
| U = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [X] : subclass(null_class,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f113,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f120,plain,
! [X] :
( ~ member(X,universal_class)
| ! [Y] : member(X,unordered_pair(X,Y)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f121,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f125,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f184,plain,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f232,plain,
! [X0] : subclass(null_class,X0),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f237,plain,
~ subclass(singleton(x),unordered_pair(x,y)),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f238,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f115]) ).
fof(f248,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f125,f119]) ).
fof(f249,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(duplicate_literals_removal,[status(esa)],[f248]) ).
fof(f253,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X0,X1))
| ~ subclass(X2,universal_class)
| ~ member(X0,X2) ),
inference(resolution,[status(thm)],[f121,f111]) ).
fof(f254,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f114]) ).
fof(f280,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[status(thm)],[f112,f249]) ).
fof(f284,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f113,f111]) ).
fof(f459,plain,
! [X0] :
( singleton(X0) = null_class
| regular(singleton(X0)) = X0 ),
inference(resolution,[status(thm)],[f184,f249]) ).
fof(f650,plain,
! [X0] :
( singleton(X0) = null_class
| member(X0,singleton(X0))
| singleton(X0) = null_class ),
inference(paramodulation,[status(thm)],[f459,f184]) ).
fof(f651,plain,
! [X0] :
( singleton(X0) = null_class
| member(X0,singleton(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f650]) ).
fof(f694,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(resolution,[status(thm)],[f284,f238]) ).
fof(f698,plain,
not_subclass_element(singleton(x),unordered_pair(x,y)) = x,
inference(resolution,[status(thm)],[f280,f237]) ).
fof(f706,plain,
( spl0_12
<=> subclass(singleton(x),unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( subclass(singleton(x),unordered_pair(x,y))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_13
<=> member(x,unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( ~ member(x,unordered_pair(x,y))
| spl0_13 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( subclass(singleton(x),unordered_pair(x,y))
| ~ member(x,unordered_pair(x,y)) ),
inference(paramodulation,[status(thm)],[f698,f694]) ).
fof(f713,plain,
( spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f712,f706,f709]) ).
fof(f714,plain,
! [X0] :
( ~ member(x,X0)
| spl0_13 ),
inference(resolution,[status(thm)],[f711,f254]) ).
fof(f724,plain,
( singleton(x) = null_class
| spl0_13 ),
inference(resolution,[status(thm)],[f714,f651]) ).
fof(f727,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f237]) ).
fof(f728,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f742,plain,
( ~ subclass(null_class,unordered_pair(x,y))
| spl0_13 ),
inference(backward_demodulation,[status(thm)],[f724,f237]) ).
fof(f743,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f232]) ).
fof(f744,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f745,plain,
$false,
inference(sat_refutation,[status(thm)],[f713,f728,f744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 10:12:07 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.59 % Elapsed time: 0.044898 seconds
% 0.18/0.59 % CPU time: 0.030802 seconds
% 0.18/0.59 % Memory used: 4.186 MB
%------------------------------------------------------------------------------