%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:09:08 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 5 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X] :
( X != null_class
=> ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f181,plain,
! [X] :
( ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) )
| X = null_class ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f182,plain,
! [X] :
( ( disjoint(sK5_skl(X),X)
& member(sK5_skl(X),X)
& member(sK5_skl(X),universal_class) )
| X = null_class ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(U,sK5_skl(X))],[f181]) ).
fof(f184,plain,
! [X0] :
( member(sK5_skl(X0),X0)
| X0 = null_class ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f191,plain,
? [Z] :
( ! [Y] : ~ member(Y,Z)
& Z != null_class ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
( ! [Y] : ~ member(Y,sK7_skl)
& sK7_skl != null_class ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Z,sK7_skl)],[f191]) ).
fof(f193,plain,
sK7_skl != null_class,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
! [X0] : ~ member(X0,sK7_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f208,plain,
sK7_skl = null_class,
inference(resolution,[status(thm)],[f184,f194]) ).
fof(f210,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f208,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:48:23 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.049776 seconds
% 0.12/0.41 % CPU time: 0.117404 seconds
% 0.12/0.41 % Total memory used: 52.300 MB
% 0.12/0.41 % Net memory used: 52.260 MB
%------------------------------------------------------------------------------