%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV009-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Sun Sep 27 07:34:17 AM UTC 2026
% Result : Unsatisfiable 0.91s 0.49s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 15 unt; 0 def)
% Number of atoms : 21 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_2,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != n0,
file('theBenchmark.p',quest_2) ).
cnf(c_9,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != n0,
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('theBenchmark.p',quest_1) ).
cnf(c_10,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_80,axiom,
f__length_(f__empty_) = n0,
file('theBenchmark.p',axiom_80) ).
cnf(c_73,plain,
f__length_(f__empty_) = n0,
inference(clausify,[status(thm)],[axiom_80]) ).
cnf(c_74,plain,
n0 = f__length_(f__empty_),
inference(copy,[status(thm)],[c_73]) ).
fof(axiom_12,axiom,
! [VAR_0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(VAR_0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(VAR_0,n1)) = n0 ),
file('theBenchmark.p',axiom_12) ).
cnf(c_171,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(A))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = n0 ),
inference(clausify,[status(thm)],[axiom_12]) ).
cnf(c_172,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(A))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = f__length_(f__empty_) ),
inference(paramod,[status(thm)],[c_74,c_171]) ).
fof(axiom_5,axiom,
! [VAR_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(VAR_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),
file('theBenchmark.p',axiom_5) ).
cnf(c_183,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(A) = fwork_DOTfifo_DOTrtl_DOTint__level_(A),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_768,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != n0,
inference(paramod,[status(thm)],[c_183,c_9]) ).
cnf(c_769,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f__length_(f__empty_),
inference(paramod,[status(thm)],[c_74,c_768]) ).
cnf(c_199,plain,
f__length_(f__empty_) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(copy,[status(thm)],[c_769]) ).
cnf(c_770,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f__length_(f__empty_),
inference(resolve,[status(thm)],[c_172,c_10]) ).
cnf(c_771,plain,
f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(copy,[status(thm)],[c_770]) ).
cnf(c_767,plain,
$false,
inference(resolve,[status(thm)],[c_199,c_771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV009-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.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 : Fri Sep 25 16:00:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3183381 was started by sandbox on n019,
% 0.08/0.35 % Fri Sep 25 16:00:34 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.91/0.49
% 0.91/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.91/0.49
% 0.91/0.49 % Proof 1 at 0.09 (+ 0.02) seconds.
% 0.91/0.49 % Length of proof is 9.
% 0.91/0.49 % Level of proof is 3.
% 0.91/0.49 % Maximum clause weight is 10.000.
% 0.91/0.49 % Given clauses 121.
% 0.91/0.49
% 0.91/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------