TSTP Solution File: SET150-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET150-6 : 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 : Tue Apr 30 20:39:16 EDT 2024
% Result : Unsatisfiable 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 70 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 61 ( 25 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
complement(complement(x)) != x,
file('/export/starexec/sandbox/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(f116,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f245,plain,
complement(complement(x)) != x,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f260,plain,
! [X0,X1] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(resolution,[status(thm)],[f116,f146]) ).
fof(f261,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f116,f115]) ).
fof(f281,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[status(thm)],[f261,f118]) ).
fof(f287,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),complement(X2))
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f281,f147]) ).
fof(f293,plain,
! [X0,X1] :
( subclass(complement(complement(X0)),X1)
| member(not_subclass_element(complement(complement(X0)),X1),X0)
| subclass(complement(complement(X0)),X1) ),
inference(resolution,[status(thm)],[f287,f260]) ).
fof(f294,plain,
! [X0,X1] :
( subclass(complement(complement(X0)),X1)
| member(not_subclass_element(complement(complement(X0)),X1),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f287,f117]) ).
fof(f296,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f295]) ).
fof(f351,plain,
! [X0,X1] :
( subclass(X0,complement(complement(X1)))
| ~ member(not_subclass_element(X0,complement(complement(X1))),X1) ),
inference(resolution,[status(thm)],[f296,f146]) ).
fof(f369,plain,
! [X0] :
( subclass(complement(complement(X0)),X0)
| subclass(complement(complement(X0)),X0) ),
inference(resolution,[status(thm)],[f294,f117]) ).
fof(f370,plain,
! [X0] : subclass(complement(complement(X0)),X0),
inference(duplicate_literals_removal,[status(esa)],[f369]) ).
fof(f381,plain,
! [X0] :
( ~ subclass(X0,complement(complement(X0)))
| X0 = complement(complement(X0)) ),
inference(resolution,[status(thm)],[f370,f121]) ).
fof(f584,plain,
! [X0] :
( subclass(X0,complement(complement(X0)))
| subclass(X0,complement(complement(X0))) ),
inference(resolution,[status(thm)],[f351,f116]) ).
fof(f585,plain,
! [X0] : subclass(X0,complement(complement(X0))),
inference(duplicate_literals_removal,[status(esa)],[f584]) ).
fof(f592,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_subsumption_resolution,[status(thm)],[f381,f585]) ).
fof(f598,plain,
x != x,
inference(backward_demodulation,[status(thm)],[f592,f245]) ).
fof(f599,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET150-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 22:10:44 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.41 % Refutation found
% 0.16/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.43 % Elapsed time: 0.110266 seconds
% 0.16/0.43 % CPU time: 0.723284 seconds
% 0.16/0.43 % Total memory used: 75.288 MB
% 0.16/0.43 % Net memory used: 74.548 MB
%------------------------------------------------------------------------------