%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM560+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 : 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 01:41:00 PM UTC 2026
% Result : Theorem 0.14s 5.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 57 ( 9 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 66 ( 20 ~; 12 |; 27 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 11 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,conjecture,
( ( ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
~ ( ( ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) ) ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f295,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [W0] :
( ~ aElementOf0(W0,szDzozmdt0(xF))
& aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(pre_NNF_transformation,[status(thm)],[f69]) ).
fof(f296,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [W0] :
( ~ aElementOf0(W0,szDzozmdt0(xF))
& aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( ( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF))
| aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ( ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) )
| ~ aElementOf0(W0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [W0] :
( ~ aElementOf0(W0,szDzozmdt0(xF))
& aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF))
| aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) )
| ~ aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(miniscoping,[status(thm)],[f296]) ).
fof(f298,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ~ aElementOf0(sK13_skl,szDzozmdt0(xF))
& aElementOf0(sK13_skl,sdtlbdtrb0(xF,xy))
& ! [W0] :
( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF))
| aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( ( sdtlpdtrp0(xF,W0) = xy
& aElementOf0(W0,szDzozmdt0(xF)) )
| ~ aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W0,sK13_skl)],[f297]) ).
fof(f300,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xF))
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f303,plain,
aElementOf0(sK13_skl,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f304,plain,
~ aElementOf0(sK13_skl,szDzozmdt0(xF)),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f344,plain,
aElementOf0(sK13_skl,szDzozmdt0(xF)),
inference(resolution,[status(thm)],[f300,f303]) ).
fof(f345,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f344,f304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM560+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n005.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 02:40:24 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.44 % Elapsed time: 0.060918 seconds
% 0.14/5.44 % CPU time: 0.160953 seconds
% 0.14/5.44 % Total memory used: 107.152 MB
% 0.14/5.44 % Net memory used: 107.012 MB
%------------------------------------------------------------------------------