%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV026-2 : 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 07:34:23 AM UTC 2026
% Result : Unsatisfiable 0.11s 5.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
file('theBenchmark.p',quest_4) ).
cnf(c_9,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('theBenchmark.p',quest_3) ).
cnf(c_10,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
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_11,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('theBenchmark.p',quest_1) ).
cnf(c_12,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_57,axiom,
! [VAR_0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(VAR_0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(VAR_0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(VAR_0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(VAR_0)) ),
file('theBenchmark.p',axiom_57) ).
cnf(c_98,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(A))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(A))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(A,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(A)) ),
inference(clausify,[status(thm)],[axiom_57]) ).
cnf(c_558,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
inference(resolve,[status(thm)],[c_98,c_9]) ).
cnf(c_559,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolve,[status(thm)],[c_10,c_558]) ).
cnf(c_560,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(resolve,[status(thm)],[c_12,c_559]) ).
cnf(c_557,plain,
$false,
inference(resolve,[status(thm)],[c_11,c_560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV026-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36 % Computer : n010.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.36 % DateTime : Fri Sep 25 16:02:52 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/5.36 % Process 1171971 was started by sandbox on n010,
% 0.07/5.36 % Fri Sep 25 16:02:52 2026
% 0.07/5.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/5.37
% 0.07/5.37 % From the command line: assign(max_seconds, 300).
% 0.11/5.42
% 0.11/5.42 % SZS status Unsatisfiable for theBenchmark
% 0.11/5.42
% 0.11/5.42 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.11/5.42 % Length of proof is 6.
% 0.11/5.42 % Level of proof is 1.
% 0.11/5.42 % Maximum clause weight is 29.000.
% 0.11/5.42 % Given clauses 81.
% 0.11/5.42
% 0.11/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------