%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM568+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 38 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 12 ~; 13 |; 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 : 11 ( 7 !; 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(f374,plain,
xK != sz00,
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f376,plain,
! [W0] :
( szszuzczcdt0(W0) != xK
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f377,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f872,plain,
( aElementOf0(sK4_skl(xK),szNzAzT0)
| xK = sz00 ),
inference(resolution,[status(thm)],[f168,f340]) ).
fof(f875,plain,
aElementOf0(sK4_skl(xK),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[f872,f374]) ).
fof(f881,plain,
( xK = szszuzczcdt0(sK4_skl(xK))
| xK = sz00 ),
inference(resolution,[status(thm)],[f169,f340]) ).
fof(f884,plain,
xK = szszuzczcdt0(sK4_skl(xK)),
inference(forward_subsumption_resolution,[status(thm)],[f881,f374]) ).
fof(f915,plain,
~ aElementOf0(sK4_skl(xK),szNzAzT0),
inference(resolution,[status(thm)],[f884,f377]) ).
fof(f925,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f915,f875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM568+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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 02:43:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.074811 seconds
% 0.12/0.43 % CPU time: 0.268009 seconds
% 0.12/0.43 % Total memory used: 114.456 MB
% 0.12/0.43 % Net memory used: 114.077 MB
%------------------------------------------------------------------------------