%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV013-2 : 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 : n002.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 07:34:19 AM UTC 2026
% Result : Unsatisfiable 0.13s 5.69s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 17 unt; 0 def)
% Number of atoms : 36 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_5,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('theBenchmark.p',quest_5) ).
cnf(c_9,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(clausify,[status(thm)],[quest_5]) ).
fof(quest_4,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('theBenchmark.p',quest_4) ).
cnf(c_10,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
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_DOTrd_(t_206)),
file('theBenchmark.p',quest_2) ).
cnf(c_12,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
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_13,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(clausify,[status(thm)],[quest_1]) ).
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_166,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_5,axiom,
! [VAR_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(VAR_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),
file('theBenchmark.p',axiom_5) ).
cnf(c_186,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(A) = fwork_DOTfifo_DOTrtl_DOTint__level_(A),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_217,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(paramod,[status(thm)],[c_186,c_10]) ).
cnf(c_735,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(paramod,[status(thm)],[c_186,c_9]) ).
cnf(c_218,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(paramod,[status(thm)],[c_186,c_735]) ).
cnf(c_736,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_166,c_11]) ).
cnf(c_737,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)) ),
inference(resolve,[status(thm)],[c_218,c_736]) ).
cnf(c_738,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolve,[status(thm)],[c_217,c_737]) ).
cnf(c_739,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(resolve,[status(thm)],[c_12,c_738]) ).
cnf(c_734,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.56 % Computer : n002.cluster.edu
% 0.08/5.56 % Model : x86_64 x86_64
% 0.08/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.56 % Memory : 8046.5625MB
% 0.08/5.56 % OS : Linux 6.8.0-71-generic
% 0.08/5.56 % CPULimit : 300
% 0.08/5.56 % WCLimit : 300
% 0.08/5.56 % DateTime : Fri Sep 25 16:03:55 UTC 2026
% 0.08/5.57 % CPUTime :
% 0.08/5.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.57 % Process 3714756 was started by sandbox on n002,
% 0.08/5.57 % Fri Sep 25 16:03:55 2026
% 0.08/5.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/5.58
% 0.08/5.58 % From the command line: assign(max_seconds, 300).
% 0.13/5.69
% 0.13/5.69 % SZS status Unsatisfiable for theBenchmark
% 0.13/5.69
% 0.13/5.69 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.13/5.69 % Length of proof is 10.
% 0.13/5.69 % Level of proof is 2.
% 0.13/5.69 % Maximum clause weight is 22.000.
% 0.13/5.69 % Given clauses 117.
% 0.13/5.69
% 0.13/5.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------