TSTP Solution File: SET104-7 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET104-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:39:09 EDT 2024
% Result : Unsatisfiable 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 39 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 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(f13,axiom,
! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [X,Y] : unordered_pair(X,Y) = unordered_pair(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,axiom,
! [Y,X] :
( member(Y,universal_class)
| unordered_pair(X,Y) = singleton(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f126,axiom,
! [X] :
( member(X,universal_class)
| singleton(X) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,negated_conjecture,
unordered_pair(null_class,singleton(singleton(y))) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f149,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f150,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f154,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f276,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f279,plain,
! [Y] :
( member(Y,universal_class)
| ! [X] : unordered_pair(X,Y) = singleton(X) ),
inference(miniscoping,[status(esa)],[f111]) ).
fof(f280,plain,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X1,X0) = singleton(X1) ),
inference(cnf_transformation,[status(esa)],[f279]) ).
fof(f302,plain,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f325,plain,
unordered_pair(null_class,singleton(singleton(y))) != ordered_pair(x,y),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f326,plain,
~ member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f354,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0) ),
inference(resolution,[status(thm)],[f151,f326]) ).
fof(f355,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[status(thm)],[f354,f154]) ).
fof(f463,plain,
! [X0] : unordered_pair(X0,x) = singleton(X0),
inference(resolution,[status(thm)],[f280,f355]) ).
fof(f467,plain,
! [X0] : unordered_pair(x,X0) = singleton(X0),
inference(paramodulation,[status(thm)],[f276,f463]) ).
fof(f510,plain,
singleton(x) = null_class,
inference(resolution,[status(thm)],[f302,f355]) ).
fof(f1243,plain,
! [X0] : unordered_pair(null_class,unordered_pair(x,singleton(X0))) = ordered_pair(x,X0),
inference(paramodulation,[status(thm)],[f510,f166]) ).
fof(f1244,plain,
! [X0] : unordered_pair(null_class,singleton(singleton(X0))) = ordered_pair(x,X0),
inference(forward_demodulation,[status(thm)],[f467,f1243]) ).
fof(f1572,plain,
ordered_pair(x,y) != ordered_pair(x,y),
inference(backward_demodulation,[status(thm)],[f1244,f325]) ).
fof(f1573,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET104-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:39:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.18/0.41 % Refutation found
% 0.18/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.42 % Elapsed time: 0.059613 seconds
% 0.18/0.42 % CPU time: 0.321891 seconds
% 0.18/0.42 % Total memory used: 67.439 MB
% 0.18/0.42 % Net memory used: 67.282 MB
%------------------------------------------------------------------------------