%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM609+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 : 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 01:41:11 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 58 ( 10 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 66 ( 21 ~; 14 |; 26 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) ) )
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),W0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,conjecture,
( aSubsetOf0(xP,xQ)
| ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) ) ),
inference(negated_conjecture,[status(cth)],[f107]) ).
fof(f620,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) ) )
& ! [W0] :
( sdtlseqdt0(szmzizndt0(xQ),W0)
| ~ aElementOf0(W0,xQ) )
& aSet0(xP) ),
inference(pre_NNF_transformation,[status(thm)],[f104]) ).
fof(f621,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( ( W0 = szmzizndt0(xQ)
| ~ aElementOf0(W0,xQ)
| ~ aElement0(W0)
| aElementOf0(W0,xP) )
& ( ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) )
| ~ aElementOf0(W0,xP) ) )
& ! [W0] :
( sdtlseqdt0(szmzizndt0(xQ),W0)
| ~ aElementOf0(W0,xQ) )
& aSet0(xP) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f622,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [W0] :
( W0 = szmzizndt0(xQ)
| ~ aElementOf0(W0,xQ)
| ~ aElement0(W0)
| aElementOf0(W0,xP) )
& ! [W0] :
( ( W0 != szmzizndt0(xQ)
& aElementOf0(W0,xQ)
& aElement0(W0) )
| ~ aElementOf0(W0,xP) )
& ! [W0] :
( sdtlseqdt0(szmzizndt0(xQ),W0)
| ~ aElementOf0(W0,xQ) )
& aSet0(xP) ),
inference(miniscoping,[status(thm)],[f621]) ).
fof(f626,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f634,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [W0] :
( ~ aElementOf0(W0,xQ)
& aElementOf0(W0,xP) ) ),
inference(pre_NNF_transformation,[status(thm)],[f108]) ).
fof(f635,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sK38_skl,xQ)
& aElementOf0(sK38_skl,xP) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl]),skolemize(W0,sK38_skl)],[f634]) ).
fof(f636,plain,
aElementOf0(sK38_skl,xP),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
~ aElementOf0(sK38_skl,xQ),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f886,plain,
~ aElementOf0(sK38_skl,xP),
inference(resolution,[status(thm)],[f626,f637]) ).
fof(f887,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f886,f636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM609+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 02:44:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.063503 seconds
% 0.13/0.43 % CPU time: 0.104772 seconds
% 0.13/0.43 % Total memory used: 23.670 MB
% 0.13/0.43 % Net memory used: 23.580 MB
%------------------------------------------------------------------------------