%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:41:01 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 32 ( 12 ~; 4 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 5 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,conjecture,
( ( ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
~ ( ( ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f374,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,slcrc0) )
& ! [W0] : ~ aElementOf0(W0,slcrc0)
& aSet0(slcrc0) ),
inference(pre_NNF_transformation,[status(thm)],[f80]) ).
fof(f375,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(sK23_skl,xS)
& aElementOf0(sK23_skl,slcrc0)
& ! [W0] : ~ aElementOf0(W0,slcrc0)
& aSet0(slcrc0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(W0,sK23_skl)],[f374]) ).
fof(f377,plain,
! [X0] : ~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f378,plain,
aElementOf0(sK23_skl,slcrc0),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f378,f377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 02:40:05 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.071690 seconds
% 0.14/0.46 % CPU time: 0.164470 seconds
% 0.14/0.46 % Total memory used: 112.312 MB
% 0.14/0.46 % Net memory used: 112.078 MB
%------------------------------------------------------------------------------