%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 01:41:00 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,conjecture,
( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(negated_conjecture,[status(cth)],[f71]) ).
fof(f310,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f311,plain,
( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
& ! [W0] :
( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f312,plain,
! [X0] :
( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(X0,szDzozmdt0(xF)) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f356,plain,
~ aElementOf0(xx,szDzozmdt0(xF)),
inference(equality_resolution,[status(thm)],[f312]) ).
fof(f357,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f310,f356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 02:40:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.064947 seconds
% 0.12/0.42 % CPU time: 0.087001 seconds
% 0.12/0.42 % Total memory used: 13.475 MB
% 0.12/0.42 % Net memory used: 13.457 MB
%------------------------------------------------------------------------------