%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV026-1 : 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 : n011.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 1.16s 0.59s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_89,axiom,
! [VAR_0] :
( p_Wr_error(VAR_0)
| ~ p_Wr_error(plus(VAR_0,n1))
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_89) ).
cnf(c_582,plain,
( p_Wr_error(A)
| ~ p_Wr_error(plus(A,n1))
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_89]) ).
fof(axiom_90,axiom,
! [VAR_0] :
( ~ p_Wr_error(VAR_0)
| p_Wr_error(plus(VAR_0,n1))
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_90) ).
cnf(c_583,plain,
( ~ p_Wr_error(A)
| p_Wr_error(plus(A,n1))
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_90]) ).
fof(quest_1,axiom,
~ p_Wr(t_139),
file('theBenchmark.p',quest_1) ).
cnf(c_584,plain,
~ p_Wr(t_139),
inference(clausify,[status(thm)],[quest_1]) ).
fof(quest_2,axiom,
~ p_Reset(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_585,plain,
~ p_Reset(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_3,axiom,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
file('theBenchmark.p',quest_3) ).
cnf(c_586,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_4,axiom,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
file('theBenchmark.p',quest_4) ).
cnf(c_587,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
inference(clausify,[status(thm)],[quest_4]) ).
cnf(c_1025,plain,
( p_Wr_error(t_139)
| p_Wr(t_139)
| p_Reset(t_139)
| p_Wr_error(t_139) ),
inference(resolve,[status(thm)],[c_587,c_582]) ).
cnf(c_1026,plain,
( p_Wr(t_139)
| p_Reset(t_139)
| p_Wr_error(t_139) ),
inference(copy,[status(thm)],[c_1025]) ).
cnf(c_1027,plain,
( p_Wr(t_139)
| p_Wr_error(t_139) ),
inference(resolve,[status(thm)],[c_585,c_1026]) ).
cnf(c_963,plain,
p_Wr_error(t_139),
inference(resolve,[status(thm)],[c_584,c_1027]) ).
cnf(c_964,plain,
~ p_Wr_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_963,c_586]) ).
cnf(c_1028,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_963,c_583]) ).
cnf(c_1029,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr(t_139) ),
inference(resolve,[status(thm)],[c_585,c_1028]) ).
cnf(c_1030,plain,
p_Wr_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_584,c_1029]) ).
cnf(c_1024,plain,
$false,
inference(resolve,[status(thm)],[c_964,c_1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 16:02:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2432307 was started by sandbox on n011,
% 0.08/0.36 % Fri Sep 25 16:02:29 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 1.16/0.59
% 1.16/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.16/0.59
% 1.16/0.59 % Proof 1 at 0.15 (+ 0.03) seconds.
% 1.16/0.59 % Length of proof is 9.
% 1.16/0.59 % Level of proof is 3.
% 1.16/0.59 % Maximum clause weight is 20.000.
% 1.16/0.59 % Given clauses 220.
% 1.16/0.59
% 1.16/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------