%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV018-2 : 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 : n010.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 8.07s 1.47s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 53 ( 13 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('theBenchmark.p',quest_5) ).
cnf(c_9,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(clausify,[status(thm)],[quest_5]) ).
fof(quest_4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('theBenchmark.p',quest_4) ).
cnf(c_10,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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_DOTfull_(t_206)),
file('theBenchmark.p',quest_2) ).
cnf(c_12,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(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_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_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_159,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_7,axiom,
! [VAR_0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(VAR_0)) ),
file('theBenchmark.p',axiom_7) ).
cnf(c_184,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(A)) ),
inference(clausify,[status(thm)],[axiom_7]) ).
fof(axiom_6,axiom,
! [VAR_0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(VAR_0)) ),
file('theBenchmark.p',axiom_6) ).
cnf(c_185,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(A)) ),
inference(clausify,[status(thm)],[axiom_6]) ).
cnf(c_782,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolve,[status(thm)],[c_184,c_12]) ).
cnf(c_3403,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))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(paramod,[status(thm)],[c_782,c_159]) ).
cnf(c_3404,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))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(paramod,[status(thm)],[c_782,c_3403]) ).
cnf(c_3405,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_DOTfifo__length_ ),
inference(resolve,[status(thm)],[c_84,c_3404]) ).
cnf(c_3406,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolve,[status(thm)],[c_13,c_3405]) ).
cnf(c_3407,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolve,[status(thm)],[c_10,c_3406]) ).
cnf(c_1104,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolve,[status(thm)],[c_11,c_3407]) ).
cnf(c_3408,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(resolve,[status(thm)],[c_1104,c_185]) ).
cnf(c_3402,plain,
$false,
inference(resolve,[status(thm)],[c_9,c_3408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV018-2 : 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 : n010.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 16:01:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 1170346 was started by sandbox on n010,
% 0.11/0.37 % Fri Sep 25 16:01:44 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 8.07/1.47
% 8.07/1.47 % SZS status Unsatisfiable for theBenchmark
% 8.07/1.47
% 8.07/1.47 % Proof 1 at 0.94 (+ 0.09) seconds.
% 8.07/1.47 % Length of proof is 12.
% 8.07/1.47 % Level of proof is 3.
% 8.07/1.47 % Maximum clause weight is 20.000.
% 8.07/1.47 % Given clauses 296.
% 8.07/1.47
% 8.07/1.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------