%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV016-2 : 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 : n006.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 07:34:20 AM UTC 2026
% Result : Unsatisfiable 19.85s 2.98s
% Output : CNFRefutation 19.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 86 ( 32 unt; 0 def)
% Number of atoms : 209 ( 56 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 196 ( 73 ~; 123 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 8 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_5,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('theBenchmark.p',quest_5) ).
cnf(c_9,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(clausify,[status(thm)],[quest_5]) ).
fof(quest_4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('theBenchmark.p',quest_4) ).
cnf(c_10,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('theBenchmark.p',quest_3) ).
cnf(c_11,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_2,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('theBenchmark.p',quest_2) ).
cnf(c_12,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(clausify,[status(thm)],[quest_2]) ).
fof(axiom_132,axiom,
! [VAR_0,VAR_1] :
( p__pred_(f__gt_(VAR_0,VAR_1))
| p_LES_EQU_(VAR_0,VAR_1) ),
file('theBenchmark.p',axiom_132) ).
cnf(c_16,plain,
( p__pred_(f__gt_(A,B))
| p_LES_EQU_(A,B) ),
inference(clausify,[status(thm)],[axiom_132]) ).
fof(axiom_131,axiom,
! [VAR_0,VAR_1] :
( ~ p__pred_(f__gt_(VAR_0,VAR_1))
| ~ p_LES_EQU_(VAR_0,VAR_1) ),
file('theBenchmark.p',axiom_131) ).
cnf(c_17,plain,
( ~ p__pred_(f__gt_(A,B))
| ~ p_LES_EQU_(A,B) ),
inference(clausify,[status(thm)],[axiom_131]) ).
fof(axiom_80,axiom,
f__length_(f__empty_) = n0,
file('theBenchmark.p',axiom_80) ).
cnf(c_79,plain,
f__length_(f__empty_) = n0,
inference(clausify,[status(thm)],[axiom_80]) ).
cnf(c_80,plain,
n0 = f__length_(f__empty_),
inference(copy,[status(thm)],[c_79]) ).
fof(axiom_75,axiom,
! [VAR_0] : p_LES_EQU_(VAR_0,VAR_0),
file('theBenchmark.p',axiom_75) ).
cnf(c_88,plain,
p_LES_EQU_(A,A),
inference(clausify,[status(thm)],[axiom_75]) ).
fof(axiom_72,axiom,
! [VAR_0,VAR_1] :
( p_LES_EQU_(VAR_1,VAR_0)
| ~ p_LES_EQU_(VAR_1,f_ADD_(VAR_0,n1))
| f_ADD_(VAR_0,n1) = VAR_1 ),
file('theBenchmark.p',axiom_72) ).
cnf(c_93,plain,
( p_LES_EQU_(B,A)
| ~ p_LES_EQU_(B,f_ADD_(A,n1))
| f_ADD_(A,n1) = B ),
inference(clausify,[status(thm)],[axiom_72]) ).
fof(axiom_71,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p_LES_EQU_(VAR_0,VAR_2)
| p_LES_EQU_(VAR_2,VAR_1)
| ~ p_LES_EQU_(VAR_0,VAR_1) ),
file('theBenchmark.p',axiom_71) ).
cnf(c_94,plain,
( p_LES_EQU_(A,C)
| p_LES_EQU_(C,B)
| ~ p_LES_EQU_(A,B) ),
inference(clausify,[status(thm)],[axiom_71]) ).
fof(axiom_70,axiom,
! [VAR_0,VAR_1] :
( ~ p_LES_EQU_(VAR_1,VAR_0)
| ~ p_LES_EQU_(VAR_0,VAR_1)
| VAR_0 = VAR_1 ),
file('theBenchmark.p',axiom_70) ).
cnf(c_95,plain,
( ~ p_LES_EQU_(B,A)
| ~ p_LES_EQU_(A,B)
| A = B ),
inference(clausify,[status(thm)],[axiom_70]) ).
fof(axiom_60,axiom,
! [VAR_0] : ~ p_LES_EQU_(f_ADD_(VAR_0,n1),n0),
file('theBenchmark.p',axiom_60) ).
cnf(c_102,plain,
~ p_LES_EQU_(f_ADD_(A,n1),n0),
inference(clausify,[status(thm)],[axiom_60]) ).
cnf(c_103,plain,
~ p_LES_EQU_(f_ADD_(A,n1),f__length_(f__empty_)),
inference(paramod,[status(thm)],[c_80,c_102]) ).
fof(axiom_59,axiom,
! [VAR_0] : f_ADD_(VAR_0,n1) != n0,
file('theBenchmark.p',axiom_59) ).
cnf(c_104,plain,
f_ADD_(A,n1) != n0,
inference(clausify,[status(thm)],[axiom_59]) ).
cnf(c_105,plain,
f_ADD_(A,n1) != f__length_(f__empty_),
inference(paramod,[status(thm)],[c_80,c_104]) ).
fof(axiom_36,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(VAR_0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),n1) ),
file('theBenchmark.p',axiom_36) ).
cnf(c_142,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(A),n1) ),
inference(clausify,[status(thm)],[axiom_36]) ).
cnf(c_143,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_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(A),n1) ),
inference(paramod,[status(thm)],[c_80,c_142]) ).
fof(axiom_31,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(VAR_0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) ),
file('theBenchmark.p',axiom_31) ).
cnf(c_152,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(A) ),
inference(clausify,[status(thm)],[axiom_31]) ).
cnf(c_153,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_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(A) ),
inference(paramod,[status(thm)],[c_80,c_152]) ).
fof(axiom_23,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(VAR_0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) ),
file('theBenchmark.p',axiom_23) ).
cnf(c_164,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(A))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(A) ),
inference(clausify,[status(thm)],[axiom_23]) ).
fof(axiom_18,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(VAR_0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),n1) ),
file('theBenchmark.p',axiom_18) ).
cnf(c_172,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(A))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(A,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(A),n1) ),
inference(clausify,[status(thm)],[axiom_18]) ).
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_186,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(A)) ),
inference(clausify,[status(thm)],[axiom_9]) ).
cnf(c_187,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = f__length_(f__empty_)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(A)) ),
inference(paramod,[status(thm)],[c_80,c_186]) ).
cnf(c_212,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f__length_(f__empty_)),
inference(paramod,[status(thm)],[c_80,c_9]) ).
cnf(c_635,plain,
~ p__pred_(f__gt_(A,A)),
inference(resolve,[status(thm)],[c_88,c_17]) ).
cnf(c_656,plain,
( p_LES_EQU_(B,A)
| p_LES_EQU_(A,B) ),
inference(resolve,[status(thm)],[c_94,c_88]) ).
cnf(c_662,plain,
( p__pred_(f__gt_(A,B))
| ~ p_LES_EQU_(B,A)
| A = B ),
inference(resolve,[status(thm)],[c_95,c_16]) ).
cnf(c_664,plain,
( p__pred_(f__gt_(B,A))
| ~ p_LES_EQU_(A,B)
| A = B ),
inference(resolve,[status(thm)],[c_95,c_16]) ).
cnf(c_5502,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolve,[status(thm)],[c_143,c_11]) ).
cnf(c_910,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolve,[status(thm)],[c_12,c_5502]) ).
cnf(c_5503,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolve,[status(thm)],[c_172,c_11]) ).
cnf(c_1046,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolve,[status(thm)],[c_12,c_5503]) ).
cnf(c_1082,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f__length_(f__empty_),
inference(resolve,[status(thm)],[c_187,c_10]) ).
cnf(c_5504,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f__length_(f__empty_) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(paramod,[status(thm)],[c_1082,c_1046]) ).
cnf(c_5505,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = f__length_(f__empty_) ),
inference(copy,[status(thm)],[c_5504]) ).
cnf(c_1083,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(resolve,[status(thm)],[c_105,c_5505]) ).
cnf(c_5506,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| f__length_(f__empty_) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(paramod,[status(thm)],[c_1082,c_910]) ).
cnf(c_5507,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = f__length_(f__empty_) ),
inference(copy,[status(thm)],[c_5506]) ).
cnf(c_1086,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)) ),
inference(resolve,[status(thm)],[c_105,c_5507]) ).
cnf(c_1489,plain,
p_LES_EQU_(f__length_(f__empty_),f_ADD_(A,n1)),
inference(resolve,[status(thm)],[c_656,c_103]) ).
cnf(c_2061,plain,
( p__pred_(f__gt_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolve,[status(thm)],[c_1086,c_16]) ).
cnf(c_5508,plain,
( p_LES_EQU_(f__length_(f__empty_),A)
| f_ADD_(A,n1) = f__length_(f__empty_) ),
inference(resolve,[status(thm)],[c_1489,c_93]) ).
cnf(c_2325,plain,
p_LES_EQU_(f__length_(f__empty_),A),
inference(resolve,[status(thm)],[c_105,c_5508]) ).
cnf(c_2758,plain,
~ p__pred_(f__gt_(f__length_(f__empty_),A)),
inference(resolve,[status(thm)],[c_2325,c_17]) ).
cnf(c_5509,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolve,[status(thm)],[c_1083,c_164]) ).
cnf(c_5510,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(paramod,[status(thm)],[c_1082,c_5509]) ).
cnf(c_5511,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(copy,[status(thm)],[c_5510]) ).
cnf(c_5512,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolve,[status(thm)],[c_11,c_5511]) ).
cnf(c_2815,plain,
( f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolve,[status(thm)],[c_12,c_5512]) ).
cnf(c_5513,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_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolve,[status(thm)],[c_2815,c_153]) ).
cnf(c_5514,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_))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(paramod,[status(thm)],[c_1082,c_5513]) ).
cnf(c_5515,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_))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(copy,[status(thm)],[c_5514]) ).
cnf(c_5516,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolve,[status(thm)],[c_11,c_5515]) ).
cnf(c_3001,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolve,[status(thm)],[c_12,c_5516]) ).
cnf(c_3654,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(f__gt_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_))
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolve,[status(thm)],[c_662,c_1083]) ).
cnf(c_5517,plain,
( p__pred_(f__gt_(f__length_(f__empty_),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_)
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolve,[status(thm)],[c_3001,c_664]) ).
cnf(c_5518,plain,
( p__pred_(f__gt_(f__length_(f__empty_),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(copy,[status(thm)],[c_5517]) ).
cnf(c_5519,plain,
( p__pred_(f__gt_(f__length_(f__empty_),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))
| f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(copy,[status(thm)],[c_5518]) ).
cnf(c_4755,plain,
f__length_(f__empty_) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(resolve,[status(thm)],[c_2758,c_5519]) ).
cnf(c_5204,plain,
~ p__pred_(f__gt_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),A)),
inference(paramod,[status(thm)],[c_4755,c_2758]) ).
cnf(c_5520,plain,
( p__pred_(f__gt_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(paramod,[status(thm)],[c_4755,c_2061]) ).
cnf(c_5348,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(resolve,[status(thm)],[c_635,c_5520]) ).
cnf(c_5438,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(paramod,[status(thm)],[c_4755,c_212]) ).
cnf(c_5521,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolve,[status(thm)],[c_5204,c_3654]) ).
cnf(c_5464,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolve,[status(thm)],[c_5348,c_5521]) ).
cnf(c_5522,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(paramod,[status(thm)],[c_5464,c_5438]) ).
cnf(c_5501,plain,
$false,
inference(resolve,[status(thm)],[c_88,c_5522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 16:01:10 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 3299701 was started by sandbox on n006,
% 0.10/0.37 % Fri Sep 25 16:01:10 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 19.85/2.98
% 19.85/2.98 % SZS status Unsatisfiable for theBenchmark
% 19.85/2.98
% 19.85/2.98 % Proof 1 at 2.16 (+ 0.24) seconds.
% 19.85/2.98 % Length of proof is 47.
% 19.85/2.98 % Level of proof is 10.
% 19.85/2.98 % Maximum clause weight is 38.000.
% 19.85/2.98 % Given clauses 346.
% 19.85/2.98
% 19.85/2.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------