%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:40:55 PM UTC 2026
% Result : Theorem 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 19 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 2 |; 8 &)
% ( 0 <=>; 2 =>; 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 : 8 ( 5 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
~ ( ( ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f219,plain,
( slbdtrb0(sz00) != slcrc0
& ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
& ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f220,plain,
( slbdtrb0(sz00) != slcrc0
& aElementOf0(sK9_skl,slbdtrb0(sz00))
& ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(W0,sK9_skl)],[f219]) ).
fof(f222,plain,
! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f223,plain,
aElementOf0(sK9_skl,slbdtrb0(sz00)),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f253,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f223,f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n014.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 02:38:36 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.18/0.42 % Drodi V4.1.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.48 % Elapsed time: 0.067640 seconds
% 0.18/0.48 % CPU time: 0.093372 seconds
% 0.18/0.48 % Total memory used: 10.474 MB
% 0.18/0.48 % Net memory used: 10.463 MB
%------------------------------------------------------------------------------