%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET077-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:09:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ 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(f11,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [X,Y] :
( unordered_pair(X,Y) = singleton(Y)
| member(X,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,negated_conjecture,
~ member(singleton(x),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f122,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f125,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f252,plain,
! [X] :
( ! [Y] : unordered_pair(X,Y) = singleton(Y)
| member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f253,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = singleton(X1)
| member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f267,plain,
~ member(singleton(x),universal_class),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f278,plain,
! [X0] : unordered_pair(singleton(x),X0) = singleton(X0),
inference(resolution,[status(thm)],[f253,f267]) ).
fof(f282,plain,
! [X0] :
( ~ member(singleton(x),X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[status(thm)],[f122,f267]) ).
fof(f284,plain,
! [X0] : ~ member(singleton(x),X0),
inference(forward_subsumption_resolution,[status(thm)],[f282,f125]) ).
fof(f378,plain,
! [X0] : member(singleton(X0),universal_class),
inference(paramodulation,[status(thm)],[f278,f135]) ).
fof(f382,plain,
$false,
inference(resolution,[status(thm)],[f378,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET077-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:55:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % 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
% 0.14/0.42 % Elapsed time: 0.055556 seconds
% 0.14/0.42 % CPU time: 0.154727 seconds
% 0.14/0.42 % Total memory used: 86.075 MB
% 0.14/0.42 % Net memory used: 86.016 MB
%------------------------------------------------------------------------------