%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV027-1 : 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 : n013.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_21,axiom,
! [VAR_0] : level(VAR_0) = int_level(VAR_0),
file('theBenchmark.p',axiom_21) ).
cnf(c_31,plain,
level(A) = int_level(A),
inference(clausify,[status(thm)],[axiom_21]) ).
fof(axiom_82,axiom,
! [VAR_0] :
( int_level(plus(VAR_0,n1)) = int_level(VAR_0)
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_82) ).
cnf(c_88,plain,
( int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_82]) ).
fof(quest_1,axiom,
~ p_Wr(t_139),
file('theBenchmark.p',quest_1) ).
cnf(c_97,plain,
~ p_Wr(t_139),
inference(clausify,[status(thm)],[quest_1]) ).
fof(quest_2,axiom,
~ p_Rd(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_98,plain,
~ p_Rd(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_3,axiom,
~ p_Reset(t_139),
file('theBenchmark.p',quest_3) ).
cnf(c_99,plain,
~ p_Reset(t_139),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_4,axiom,
level(t_139) != level(plus(t_139,n1)),
file('theBenchmark.p',quest_4) ).
cnf(c_100,plain,
level(t_139) != level(plus(t_139,n1)),
inference(clausify,[status(thm)],[quest_4]) ).
cnf(c_213,plain,
int_level(t_139) != level(plus(t_139,n1)),
inference(paramod,[status(thm)],[c_31,c_100]) ).
cnf(c_214,plain,
int_level(t_139) != int_level(plus(t_139,n1)),
inference(paramod,[status(thm)],[c_31,c_213]) ).
cnf(c_101,plain,
int_level(plus(t_139,n1)) != int_level(t_139),
inference(copy,[status(thm)],[c_214]) ).
cnf(c_215,plain,
( int_level(plus(t_139,n1)) = int_level(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_98,c_88]) ).
cnf(c_216,plain,
( int_level(plus(t_139,n1)) = int_level(t_139)
| p_Wr(t_139) ),
inference(resolve,[status(thm)],[c_99,c_215]) ).
cnf(c_217,plain,
int_level(plus(t_139,n1)) = int_level(t_139),
inference(resolve,[status(thm)],[c_97,c_216]) ).
cnf(c_212,plain,
$false,
inference(resolve,[status(thm)],[c_101,c_217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV027-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.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 16:01:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.36 % Process 791478 was started by sandbox on n013,
% 0.14/0.36 % Fri Sep 25 16:01:51 2026
% 0.14/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.37
% 0.14/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.40
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40
% 0.14/0.40 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.14/0.40 % Length of proof is 8.
% 0.14/0.40 % Level of proof is 2.
% 0.14/0.40 % Maximum clause weight is 28.000.
% 0.14/0.40 % Given clauses 79.
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------