%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET060+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 : n004.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 02:09:06 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 15 |; 10 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X,Y,Z] :
( member(Z,intersection(X,Y))
<=> ( member(Z,Y)
& member(Z,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Z] :
( member(Z,complement(X))
<=> ( ~ member(Z,X)
& member(Z,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X,Y] : ~ member(Y,intersection(complement(X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X,Y] : ~ member(Y,intersection(complement(X),X)),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f85,plain,
! [X,Y,Z] :
( ( ~ member(Z,Y)
| ~ member(Z,X)
| member(Z,intersection(X,Y)) )
& ( ( member(Z,Y)
& member(Z,X) )
| ~ member(Z,intersection(X,Y)) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f86,plain,
( ! [X,Y,Z] :
( ~ member(Z,Y)
| ~ member(Z,X)
| member(Z,intersection(X,Y)) )
& ! [X,Y,Z] :
( ( member(Z,Y)
& member(Z,X) )
| ~ member(Z,intersection(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f90,plain,
! [X,Z] :
( ( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
& ( ( ~ member(Z,X)
& member(Z,universal_class) )
| ~ member(Z,complement(X)) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f91,plain,
( ! [X,Z] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
& ! [X,Z] :
( ( ~ member(Z,X)
& member(Z,universal_class) )
| ~ member(Z,complement(X)) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f93,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
? [X,Y] : member(Y,intersection(complement(X),X)),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
member(sK8_skl,intersection(complement(sK7_skl),sK7_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191]) ).
fof(f193,plain,
member(sK8_skl,intersection(complement(sK7_skl),sK7_skl)),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f200,plain,
member(sK8_skl,complement(sK7_skl)),
inference(resolution,[status(thm)],[f87,f193]) ).
fof(f201,plain,
~ member(sK8_skl,sK7_skl),
inference(resolution,[status(thm)],[f200,f93]) ).
fof(f202,plain,
member(sK8_skl,sK7_skl),
inference(resolution,[status(thm)],[f88,f193]) ).
fof(f203,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f202,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:48:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.046970 seconds
% 0.09/0.42 % CPU time: 0.126387 seconds
% 0.09/0.42 % Total memory used: 65.263 MB
% 0.09/0.42 % Net memory used: 65.206 MB
%------------------------------------------------------------------------------