%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM618+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 : n001.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 01:41:13 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 31 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 6 |; 9 &)
% ( 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,hypothesis,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,hypothesis,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,conjecture,
? [W0] :
( xx = sdtlpdtrp0(xe,W0)
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
~ ? [W0] :
( xx = sdtlpdtrp0(xe,W0)
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f441,plain,
! [W0] :
( ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f442,plain,
! [W0] :
( ( sdtlpdtrp0(xe,sK24_skl(W0)) = W0
& aElementOf0(sK24_skl(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK24_skl(W0),szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(W1,sK24_skl(W0))],[f441]) ).
fof(f443,plain,
! [X0] :
( aElementOf0(sK24_skl(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f445,plain,
! [X0] :
( sdtlpdtrp0(xe,sK24_skl(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f467,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f468,plain,
! [W0] :
( xx != sdtlpdtrp0(xe,W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f116]) ).
fof(f469,plain,
! [X0] :
( xx != sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f1334,plain,
aElementOf0(sK24_skl(xx),szNzAzT0),
inference(resolution,[status(thm)],[f443,f467]) ).
fof(f1796,plain,
sdtlpdtrp0(xe,sK24_skl(xx)) = xx,
inference(resolution,[status(thm)],[f445,f467]) ).
fof(f1830,plain,
~ aElementOf0(sK24_skl(xx),szNzAzT0),
inference(resolution,[status(thm)],[f1796,f469]) ).
fof(f1832,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1830,f1334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM618+1 : 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 : n001.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 02:50:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.094246 seconds
% 0.13/0.46 % CPU time: 0.393146 seconds
% 0.13/0.46 % Total memory used: 116.412 MB
% 0.13/0.46 % Net memory used: 115.862 MB
%------------------------------------------------------------------------------