%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV020-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 07:34:21 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.49s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 20 unt; 0 def)
% Number of atoms : 50 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('theBenchmark.p',quest_5) ).
cnf(c_9,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(clausify,[status(thm)],[quest_5]) ).
fof(quest_4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('theBenchmark.p',quest_4) ).
cnf(c_10,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('theBenchmark.p',quest_3) ).
cnf(c_11,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_2,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('theBenchmark.p',quest_2) ).
cnf(c_12,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('theBenchmark.p',quest_1) ).
cnf(c_13,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_80,axiom,
f__length_(f__empty_) = n0,
file('theBenchmark.p',axiom_80) ).
cnf(c_76,plain,
f__length_(f__empty_) = n0,
inference(clausify,[status(thm)],[axiom_80]) ).
cnf(c_77,plain,
n0 = f__length_(f__empty_),
inference(copy,[status(thm)],[c_76]) ).
fof(axiom_75,axiom,
! [VAR_0] : p_LES_EQU_(VAR_0,VAR_0),
file('theBenchmark.p',axiom_75) ).
cnf(c_84,plain,
p_LES_EQU_(A,A),
inference(clausify,[status(thm)],[axiom_75]) ).
fof(axiom_49,axiom,
! [VAR_0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(VAR_0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(VAR_0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(VAR_0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(VAR_0,n1))) ),
file('theBenchmark.p',axiom_49) ).
cnf(c_114,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(A))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(A))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(A))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(A),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(A,n1))) ),
inference(clausify,[status(thm)],[axiom_49]) ).
cnf(c_115,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(A))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(A))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(A))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(A),f__length_(f__empty_))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(A,n1))) ),
inference(paramod,[status(thm)],[c_77,c_114]) ).
fof(axiom_9,axiom,
! [VAR_0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(VAR_0)) ),
file('theBenchmark.p',axiom_9) ).
cnf(c_180,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(A)) ),
inference(clausify,[status(thm)],[axiom_9]) ).
cnf(c_181,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = f__length_(f__empty_)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(A)) ),
inference(paramod,[status(thm)],[c_77,c_180]) ).
cnf(c_1286,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
inference(resolve,[status(thm)],[c_115,c_13]) ).
cnf(c_1287,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)) ),
inference(resolve,[status(thm)],[c_9,c_1286]) ).
cnf(c_1288,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)) ),
inference(resolve,[status(thm)],[c_12,c_1287]) ).
cnf(c_796,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)),
inference(resolve,[status(thm)],[c_11,c_1288]) ).
cnf(c_1289,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_),
inference(resolve,[status(thm)],[c_181,c_10]) ).
cnf(c_1066,plain,
f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(copy,[status(thm)],[c_1289]) ).
cnf(c_1290,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(paramod,[status(thm)],[c_1066,c_796]) ).
cnf(c_1285,plain,
$false,
inference(resolve,[status(thm)],[c_84,c_1290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV020-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 16:01:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3888496 was started by sandbox2 on n005,
% 0.10/0.37 % Fri Sep 25 16:01:31 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.49
% 0.10/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.49
% 0.10/0.49 % Proof 1 at 0.09 (+ 0.02) seconds.
% 0.10/0.49 % Length of proof is 15.
% 0.10/0.49 % Level of proof is 4.
% 0.10/0.49 % Maximum clause weight is 34.000.
% 0.10/0.49 % Given clauses 128.
% 0.10/0.49
% 0.10/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------