TSTP Solution File: SET147-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET147-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.10s 0.30s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 89 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 37 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 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 : 91 ( 91 !; 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(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
intersection(universal_class,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(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(f143,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f245,plain,
intersection(universal_class,x) != x,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f263,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f116,f144]) ).
fof(f264,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X0) ),
inference(resolution,[status(thm)],[f116,f142]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( subclass(intersection(X0,X1),X2)
| ~ subclass(X1,X3)
| member(not_subclass_element(intersection(X0,X1),X2),X3) ),
inference(resolution,[status(thm)],[f263,f115]) ).
fof(f296,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[status(thm)],[f117,f263]) ).
fof(f297,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literals_removal,[status(esa)],[f296]) ).
fof(f300,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f117,f145]) ).
fof(f315,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| X0 = intersection(X1,X0) ),
inference(resolution,[status(thm)],[f297,f121]) ).
fof(f316,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[status(thm)],[f264,f117]) ).
fof(f317,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literals_removal,[status(esa)],[f316]) ).
fof(f323,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X0,X1))
| X0 = intersection(X0,X1) ),
inference(resolution,[status(thm)],[f317,f121]) ).
fof(f359,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[status(thm)],[f300,f116]) ).
fof(f360,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f359]) ).
fof(f379,plain,
! [X0] :
( subclass(X0,intersection(X0,X0))
| subclass(X0,intersection(X0,X0)) ),
inference(resolution,[status(thm)],[f360,f116]) ).
fof(f380,plain,
! [X0] : subclass(X0,intersection(X0,X0)),
inference(duplicate_literals_removal,[status(esa)],[f379]) ).
fof(f386,plain,
! [X0] : X0 = intersection(X0,X0),
inference(resolution,[status(thm)],[f380,f323]) ).
fof(f548,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X0),X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f386,f270]) ).
fof(f549,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(forward_demodulation,[status(thm)],[f386,f548]) ).
fof(f585,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[status(thm)],[f549,f360]) ).
fof(f586,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f585]) ).
fof(f605,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| X0 = intersection(X1,X0) ),
inference(resolution,[status(thm)],[f586,f315]) ).
fof(f649,plain,
~ subclass(x,universal_class),
inference(resolution,[status(thm)],[f605,f245]) ).
fof(f650,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f649,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET147-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon Apr 29 21:57:50 EDT 2024
% 0.10/0.28 % CPUTime :
% 0.10/0.29 % Drodi V3.6.0
% 0.10/0.30 % Refutation found
% 0.10/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.31 % Elapsed time: 0.024047 seconds
% 0.10/0.31 % CPU time: 0.068720 seconds
% 0.10/0.31 % Total memory used: 16.564 MB
% 0.10/0.31 % Net memory used: 16.471 MB
%------------------------------------------------------------------------------