%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:09:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,axiom,
! [X,Y] :
( unordered_pair(X,Y) != null_class
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f124,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f264,plain,
! [X] :
( ! [Y] : unordered_pair(X,Y) != null_class
| ~ member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f265,plain,
! [X0,X1] :
( unordered_pair(X0,X1) != null_class
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f274,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f275,plain,
singleton(x) = null_class,
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f289,plain,
! [X0] :
( singleton(X0) != null_class
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f140,f265]) ).
fof(f290,plain,
~ member(x,universal_class),
inference(resolution,[status(thm)],[f289,f275]) ).
fof(f292,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f290,f274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 04:53:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.065268 seconds
% 0.14/0.44 % CPU time: 0.115586 seconds
% 0.14/0.44 % Total memory used: 3.321 MB
% 0.14/0.44 % Net memory used: 3.320 MB
%------------------------------------------------------------------------------