%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV010-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.09s 0.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 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 : 4 ( 4 !; 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(f7,axiom,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(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(f142,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f296,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f297,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f303,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(backward_demodulation,[status(thm)],[f139,f296]) ).
fof(f304,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(resolution,[status(thm)],[f142,f303]) ).
fof(f306,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f304,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV010-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n012.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 20:47:23 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.59 % Refutation found
% 0.09/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.64 % Elapsed time: 0.064454 seconds
% 0.13/0.64 % CPU time: 0.072323 seconds
% 0.13/0.64 % Total memory used: 17.129 MB
% 0.13/0.64 % Net memory used: 17.118 MB
%------------------------------------------------------------------------------