%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:41:02 PM UTC 2026
% Result : Theorem 0.20s 5.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 58 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 51 ( 15 ~; 12 |; 21 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,W0))
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
( xi != sz00
=> ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ? [W0] :
( szszuzczcdt0(W0) = xi
& aElementOf0(W0,szNzAzT0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,conjecture,
( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
~ ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f346,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f347,plain,
isCountable0(xS),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f361,plain,
( ! [W0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,W0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f364,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f371,plain,
( ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ? [W0] :
( szszuzczcdt0(W0) = xi
& aElementOf0(W0,szNzAzT0) ) )
| xi = sz00 ),
inference(pre_NNF_transformation,[status(thm)],[f84]) ).
fof(f372,plain,
( ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& szszuzczcdt0(sK21_skl) = xi
& aElementOf0(sK21_skl,szNzAzT0) )
| xi = sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W0,sK21_skl)],[f371]) ).
fof(f375,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| xi = sz00 ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f376,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f377,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f378,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f458,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ),
inference(resolution,[status(thm)],[f375,f378]) ).
fof(f462,plain,
xi = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f458,f376]) ).
fof(f504,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(backward_demodulation,[status(thm)],[f505,f378]) ).
fof(f505,plain,
sdtlpdtrp0(xN,xi) = xS,
inference(forward_demodulation,[status(thm)],[f462,f364]) ).
fof(f508,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(forward_demodulation,[status(thm)],[f505,f504]) ).
fof(f509,plain,
~ isCountable0(xS),
inference(forward_subsumption_resolution,[status(thm)],[f508,f346]) ).
fof(f514,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f509,f347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.64 % Computer : n019.cluster.edu
% 0.16/5.64 % Model : x86_64 x86_64
% 0.16/5.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.64 % Memory : 8046.5625MB
% 0.16/5.64 % OS : Linux 6.8.0-71-generic
% 0.16/5.64 % CPULimit : 300
% 0.16/5.64 % WCLimit : 300
% 0.16/5.64 % DateTime : Mon Sep 21 02:41:27 UTC 2026
% 0.16/5.65 % CPUTime :
% 0.16/5.67 % Drodi V4.1.1
% 0.20/5.72 % Refutation found
% 0.20/5.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/5.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/5.74 % Elapsed time: 0.077457 seconds
% 0.20/5.74 % CPU time: 0.224307 seconds
% 0.20/5.74 % Total memory used: 69.182 MB
% 0.20/5.74 % Net memory used: 69.065 MB
%------------------------------------------------------------------------------