%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET082-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:09:15 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 40 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 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(f111,axiom,
! [Y,X] :
( unordered_pair(X,Y) = singleton(X)
| member(Y,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,axiom,
! [X,Y] :
( member(Y,universal_class)
| member(X,universal_class)
| unordered_pair(X,Y) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f129,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f257,plain,
! [Y] :
( ! [X] : unordered_pair(X,Y) = singleton(X)
| member(Y,universal_class) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f258,plain,
! [X0,X1] :
( unordered_pair(X1,X0) = singleton(X1)
| member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
! [Y] :
( member(Y,universal_class)
| ! [X] :
( member(X,universal_class)
| unordered_pair(X,Y) = null_class ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f262,plain,
! [X0,X1] :
( member(X1,universal_class)
| member(X0,universal_class)
| unordered_pair(X0,X1) = null_class ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f280,plain,
~ member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f281,plain,
singleton(x) != null_class,
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f293,plain,
! [X0] : unordered_pair(X0,x) = singleton(X0),
inference(resolution,[status(thm)],[f258,f280]) ).
fof(f298,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[status(thm)],[f129,f280]) ).
fof(f301,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[status(thm)],[f298,f132]) ).
fof(f333,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,x) = null_class ),
inference(resolution,[status(thm)],[f262,f301]) ).
fof(f335,plain,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
inference(forward_demodulation,[status(thm)],[f293,f333]) ).
fof(f415,plain,
singleton(x) = null_class,
inference(resolution,[status(thm)],[f335,f301]) ).
fof(f418,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f415,f281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET082-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:55:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.054818 seconds
% 0.13/0.41 % CPU time: 0.192522 seconds
% 0.13/0.41 % Total memory used: 106.108 MB
% 0.13/0.41 % Net memory used: 106.031 MB
%------------------------------------------------------------------------------