TSTP Solution File: SET054+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:38:51 EDT 2024
% Result : Theorem 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( X = Y
<=> ( subclass(X,Y)
& subclass(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X] : subclass(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X] : subclass(X,X),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f54,plain,
! [X,Y] :
( ( X != Y
| ( subclass(X,Y)
& subclass(Y,X) ) )
& ( X = Y
| ~ subclass(X,Y)
| ~ subclass(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f55,plain,
( ! [X,Y] :
( X != Y
| ( subclass(X,Y)
& subclass(Y,X) ) )
& ! [X,Y] :
( X = Y
| ~ subclass(X,Y)
| ~ subclass(Y,X) ) ),
inference(miniscoping,[status(esa)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f191,plain,
? [X] : ~ subclass(X,X),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f192,plain,
~ subclass(sk0_7,sk0_7),
inference(skolemization,[status(esa)],[f191]) ).
fof(f193,plain,
~ subclass(sk0_7,sk0_7),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f56]) ).
fof(f200,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f193,f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n011.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 21:50:46 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.38 % Elapsed time: 0.024188 seconds
% 0.16/0.38 % CPU time: 0.014905 seconds
% 0.16/0.38 % Total memory used: 1.899 MB
% 0.16/0.38 % Net memory used: 1.898 MB
%------------------------------------------------------------------------------