%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM568+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 41 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 16 ~; 17 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ? [W1] :
( W0 = szszuzczcdt0(W1)
& aElementOf0(W1,szNzAzT0) )
| W0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,conjecture,
? [W0] :
( szszuzczcdt0(W0) = xK
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
~ ? [W0] :
( szszuzczcdt0(W0) = xK
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f166,plain,
! [W0] :
( ? [W1] :
( W0 = szszuzczcdt0(W1)
& aElementOf0(W1,szNzAzT0) )
| W0 = sz00
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f167,plain,
! [W0] :
( ( W0 = szszuzczcdt0(sK4_skl(W0))
& aElementOf0(sK4_skl(W0),szNzAzT0) )
| W0 = sz00
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W1,sK4_skl(W0))],[f166]) ).
fof(f168,plain,
! [X0] :
( aElementOf0(sK4_skl(X0),szNzAzT0)
| X0 = sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
! [X0] :
( X0 = szszuzczcdt0(sK4_skl(X0))
| X0 = sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f340,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f352,plain,
xK != sz00,
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f354,plain,
! [W0] :
( szszuzczcdt0(W0) != xK
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f355,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f704,plain,
! [X0] :
( szszuzczcdt0(sK4_skl(X0)) != xK
| X0 = sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f168,f355]) ).
fof(f760,plain,
( xK = sz00
| ~ aElementOf0(xK,szNzAzT0)
| xK = sz00
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[status(thm)],[f704,f169]) ).
fof(f761,plain,
( xK = sz00
| ~ aElementOf0(xK,szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f760]) ).
fof(f762,plain,
xK = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f761,f340]) ).
fof(f763,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f762,f352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM568+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:41:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.074219 seconds
% 0.13/0.44 % CPU time: 0.266960 seconds
% 0.13/0.44 % Total memory used: 111.202 MB
% 0.13/0.44 % Net memory used: 110.926 MB
%------------------------------------------------------------------------------