TSTP Solution File: SET192-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:34:14 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 26 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 (; 34 !; 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(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ subclass(complement(y),complement(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f246,plain,
subclass(x,y),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ subclass(complement(y),complement(x)),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f250,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,y) ),
inference(resolution,[status(thm)],[f116,f246]) ).
fof(f251,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f116,f119]) ).
fof(f253,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(resolution,[status(thm)],[f250,f147]) ).
fof(f256,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,complement(x))
| ~ member(X0,complement(y)) ),
inference(resolution,[status(thm)],[f148,f253]) ).
fof(f257,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,complement(y)) ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f251]) ).
fof(f320,plain,
! [X0] :
( subclass(X0,complement(x))
| ~ member(not_subclass_element(X0,complement(x)),complement(y)) ),
inference(resolution,[status(thm)],[f118,f257]) ).
fof(f360,plain,
( spl0_12
<=> subclass(complement(y),complement(x)) ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( subclass(complement(y),complement(x))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( subclass(complement(y),complement(x))
| subclass(complement(y),complement(x)) ),
inference(resolution,[status(thm)],[f320,f117]) ).
fof(f364,plain,
spl0_12,
inference(split_clause,[status(thm)],[f363,f360]) ).
fof(f366,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f247]) ).
fof(f367,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f368,plain,
$false,
inference(sat_refutation,[status(thm)],[f364,f367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 10:13:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.059711 seconds
% 0.20/0.41 % CPU time: 0.292106 seconds
% 0.20/0.41 % Memory used: 25.979 MB
%------------------------------------------------------------------------------