TSTP Solution File: SET245-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:34:20 EDT 2023
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 52 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 60 (; 60 !; 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(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Xr,X,Y] : intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y),
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(f113,negated_conjecture,
restrict(null_class,x,y) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f141,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f150,plain,
! [X0,X1,X2] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f188,plain,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f245,plain,
restrict(null_class,x,y) != null_class,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f496,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,X1) ),
inference(paramodulation,[status(thm)],[f150,f142]) ).
fof(f534,plain,
! [X0,X1,X2] :
( member(regular(restrict(X0,X1,X2)),X0)
| restrict(X0,X1,X2) = null_class ),
inference(resolution,[status(thm)],[f496,f188]) ).
fof(f544,plain,
! [X0,X1,X2] :
( restrict(complement(X0),X1,X2) = null_class
| ~ member(regular(restrict(complement(X0),X1,X2)),X0) ),
inference(resolution,[status(thm)],[f534,f146]) ).
fof(f547,plain,
! [X0,X1,X2,X3] :
( restrict(X0,X1,X2) = null_class
| ~ subclass(X0,X3)
| member(regular(restrict(X0,X1,X2)),X3) ),
inference(resolution,[status(thm)],[f534,f115]) ).
fof(f587,plain,
! [X0,X1,X2] :
( restrict(X0,X1,X2) = null_class
| member(regular(restrict(X0,X1,X2)),universal_class) ),
inference(resolution,[status(thm)],[f547,f118]) ).
fof(f589,plain,
! [X0,X1] :
( restrict(complement(universal_class),X0,X1) = null_class
| restrict(complement(universal_class),X0,X1) = null_class ),
inference(resolution,[status(thm)],[f587,f544]) ).
fof(f590,plain,
! [X0,X1] : restrict(complement(universal_class),X0,X1) = null_class,
inference(duplicate_literals_removal,[status(esa)],[f589]) ).
fof(f616,plain,
! [X0] :
( ~ member(X0,null_class)
| member(X0,complement(universal_class)) ),
inference(paramodulation,[status(thm)],[f590,f496]) ).
fof(f619,plain,
! [X0,X1] :
( member(regular(restrict(null_class,X0,X1)),complement(universal_class))
| restrict(null_class,X0,X1) = null_class ),
inference(resolution,[status(thm)],[f616,f534]) ).
fof(f629,plain,
! [X0,X1] :
( restrict(null_class,X0,X1) = null_class
| ~ member(regular(restrict(null_class,X0,X1)),universal_class) ),
inference(resolution,[status(thm)],[f619,f146]) ).
fof(f630,plain,
! [X0,X1] : restrict(null_class,X0,X1) = null_class,
inference(forward_subsumption_resolution,[status(thm)],[f629,f587]) ).
fof(f637,plain,
null_class != null_class,
inference(backward_demodulation,[status(thm)],[f630,f245]) ).
fof(f638,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:18:42 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.52 % Elapsed time: 0.173916 seconds
% 0.19/0.52 % CPU time: 1.221686 seconds
% 0.19/0.52 % Memory used: 71.724 MB
%------------------------------------------------------------------------------