%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV011-2 : TPTP v9.3.1. Released v2.5.0.
% 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 12:45:56 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.60s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [T_2] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f141,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f296,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f297,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f304,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(forward_demodulation,[status(thm)],[f139,f141]) ).
fof(f305,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolution,[status(thm)],[f304,f297]) ).
fof(f307,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f305,f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV011-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n020.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Sun Sep 20 20:49:02 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.13/0.58 % Drodi V4.1.1
% 0.13/0.60 % Refutation found
% 0.13/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.62 % Elapsed time: 0.060674 seconds
% 0.13/0.62 % CPU time: 0.158527 seconds
% 0.13/0.62 % Total memory used: 109.601 MB
% 0.13/0.62 % Net memory used: 109.538 MB
%------------------------------------------------------------------------------