%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 07:34:17 AM UTC 2026
% Result : Unsatisfiable 9.68s 16.67s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_1,axiom,
p_Reset(t_139),
file('theBenchmark.p',quest_1) ).
cnf(c_68,plain,
p_Reset(t_139),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_30,axiom,
! [VAR_0] :
( ~ p_Rd_error(plus(VAR_0,n1))
| ~ p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_30) ).
cnf(c_70,plain,
( ~ p_Rd_error(plus(A,n1))
| ~ p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_30]) ).
fof(axiom_29,axiom,
! [VAR_0] :
( ~ p_Wr_error(plus(VAR_0,n1))
| ~ p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_29) ).
cnf(c_71,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_29]) ).
fof(axiom_26,axiom,
! [VAR_0] :
( int_level(plus(VAR_0,n1)) = n0
| ~ p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_26) ).
cnf(c_74,plain,
( int_level(plus(A,n1)) = n0
| ~ p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_26]) ).
cnf(c_501,plain,
int_level(plus(t_139,n1)) = n0,
inference(resolve,[status(thm)],[c_74,c_68]) ).
cnf(c_502,plain,
n0 = int_level(plus(t_139,n1)),
inference(copy,[status(thm)],[c_501]) ).
cnf(c_507,plain,
~ p_Wr_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_71,c_68]) ).
cnf(c_508,plain,
~ p_Rd_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_70,c_68]) ).
fof(axiom_21,axiom,
! [VAR_0] : level(VAR_0) = int_level(VAR_0),
file('theBenchmark.p',axiom_21) ).
cnf(c_533,plain,
level(A) = int_level(A),
inference(clausify,[status(thm)],[axiom_21]) ).
fof(quest_2,axiom,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| level(plus(t_139,n1)) != n0 ),
file('theBenchmark.p',quest_2) ).
cnf(c_534,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| level(plus(t_139,n1)) != n0 ),
inference(clausify,[status(thm)],[quest_2]) ).
cnf(c_536,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| int_level(plus(t_139,n1)) != n0 ),
inference(paramod,[status(thm)],[c_533,c_534]) ).
cnf(c_537,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| int_level(plus(t_139,n1)) != int_level(plus(t_139,n1)) ),
inference(paramod,[status(thm)],[c_502,c_536]) ).
cnf(c_538,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1)) ),
inference(copy,[status(thm)],[c_537]) ).
cnf(c_539,plain,
p_Rd_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_507,c_538]) ).
cnf(c_535,plain,
$false,
inference(resolve,[status(thm)],[c_508,c_539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n002.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Fri Sep 25 16:03:21 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/15.38 % Process 3712864 was started by sandbox2 on n002,
% 0.09/15.38 % Fri Sep 25 16:03:21 2026
% 0.09/15.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/15.39
% 0.09/15.39 % From the command line: assign(max_seconds, 300).
% 9.68/16.67
% 9.68/16.67 % SZS status Unsatisfiable for theBenchmark
% 9.68/16.67
% 9.68/16.67 % Proof 1 at 1.26 (+ 0.01) seconds.
% 9.68/16.67 % Length of proof is 11.
% 9.68/16.67 % Level of proof is 3.
% 9.68/16.67 % Maximum clause weight is 21.000.
% 9.68/16.67 % Given clauses 0.
% 9.68/16.67
% 9.68/16.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------