%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV030-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:46:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X_t_37] :
( wr_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ gt(fifo_length,wr_level(plus(t_139,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,plain,
! [X0] :
( wr_level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f189,plain,
p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f190,plain,
~ gt(fifo_length,wr_level(plus(t_139,n1))),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f191,plain,
gt(fifo_length,n0),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f385,plain,
wr_level(plus(t_139,n1)) = n0,
inference(resolution,[status(thm)],[f123,f189]) ).
fof(f481,plain,
~ gt(fifo_length,n0),
inference(backward_demodulation,[status(thm)],[f385,f190]) ).
fof(f482,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f481,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV030-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n009.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 20:49:19 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.44 % Elapsed time: 0.050177 seconds
% 0.14/5.44 % CPU time: 0.170040 seconds
% 0.14/5.44 % Total memory used: 105.430 MB
% 0.14/5.44 % Net memory used: 105.252 MB
%------------------------------------------------------------------------------