%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV019-1 : 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 : n004.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 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 49 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_2,axiom,
p_Wr(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_32,plain,
p_Wr(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
fof(axiom_51,axiom,
! [VAR_0] :
( ~ p_Wr_error(plus(VAR_0,n1))
| ~ p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_51) ).
cnf(c_49,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_51]) ).
fof(axiom_34,axiom,
! [VAR_0] :
( ~ p_Wr_error(plus(VAR_0,n1))
| ~ gt(fifo_length,int_level(VAR_0))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_34) ).
cnf(c_66,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ gt(fifo_length,int_level(A))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_34]) ).
cnf(c_71,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_66,c_32]) ).
cnf(c_216,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_49,c_32]) ).
fof(axiom_21,axiom,
! [VAR_0] : level(VAR_0) = int_level(VAR_0),
file('theBenchmark.p',axiom_21) ).
cnf(c_483,plain,
level(A) = int_level(A),
inference(clausify,[status(thm)],[axiom_21]) ).
fof(quest_1,axiom,
p_Wr_error(plus(t_139,n1)),
file('theBenchmark.p',quest_1) ).
cnf(c_491,plain,
p_Wr_error(plus(t_139,n1)),
inference(clausify,[status(thm)],[quest_1]) ).
fof(quest_3,axiom,
~ p_Reset(t_139),
file('theBenchmark.p',quest_3) ).
cnf(c_492,plain,
~ p_Reset(t_139),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_4,axiom,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
file('theBenchmark.p',quest_4) ).
cnf(c_493,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
inference(clausify,[status(thm)],[quest_4]) ).
cnf(c_712,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_492,c_216]) ).
cnf(c_514,plain,
~ p_Rd(t_139),
inference(resolve,[status(thm)],[c_491,c_712]) ).
cnf(c_713,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_492,c_71]) ).
cnf(c_714,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139)) ),
inference(resolve,[status(thm)],[c_514,c_713]) ).
cnf(c_515,plain,
~ gt(fifo_length,int_level(t_139)),
inference(resolve,[status(thm)],[c_491,c_714]) ).
cnf(c_516,plain,
gt(fifo_length,level(t_139)),
inference(resolve,[status(thm)],[c_514,c_493]) ).
cnf(c_715,plain,
gt(fifo_length,int_level(t_139)),
inference(paramod,[status(thm)],[c_483,c_516]) ).
cnf(c_711,plain,
$false,
inference(resolve,[status(thm)],[c_515,c_715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 16:01:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 3607246 was started by sandbox on n004,
% 0.10/0.36 % Fri Sep 25 16:01:21 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.47
% 0.10/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.47
% 0.10/0.47 % Proof 1 at 0.08 (+ 0.01) seconds.
% 0.10/0.47 % Length of proof is 13.
% 0.10/0.47 % Level of proof is 4.
% 0.10/0.47 % Maximum clause weight is 22.000.
% 0.10/0.47 % Given clauses 129.
% 0.10/0.47
% 0.10/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------