%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV012-1 : 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 : 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 07:34:18 AM UTC 2026
% Result : Unsatisfiable 15.47s 2.49s
% Output : CNFRefutation 15.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 57 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 37 ~; 32 |; 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 : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_11,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]) ).
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_28,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_51]) ).
fof(axiom_29,axiom,
! [VAR_0] :
( ~ p_Wr_error(plus(VAR_0,n1))
| ~ p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_29) ).
cnf(c_70,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_29]) ).
cnf(c_200,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ p_Rd(A)
| ~ p_Wr(A)
| ~ p_Wr_error(plus(A,n1)) ),
inference(resolve,[status(thm)],[c_70,c_28]) ).
cnf(c_206,plain,
( ~ p_Wr_error(plus(A,n1))
| ~ gt(fifo_length,int_level(A))
| p_Rd(A)
| ~ p_Wr(A)
| ~ p_Wr_error(plus(A,n1)) ),
inference(resolve,[status(thm)],[c_70,c_11]) ).
fof(quest_2,axiom,
p_Wr(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_352,plain,
p_Wr(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
cnf(c_378,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[status(thm)],[c_352,c_200]) ).
cnf(c_379,plain,
( ~ p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(copy,[status(thm)],[c_378]) ).
cnf(c_380,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[status(thm)],[c_352,c_206]) ).
cnf(c_381,plain,
( ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(copy,[status(thm)],[c_380]) ).
fof(quest_3,axiom,
p_Wr_error(plus(t_139,n1)),
file('theBenchmark.p',quest_3) ).
cnf(c_1655,plain,
p_Wr_error(plus(t_139,n1)),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_1,axiom,
gt(fifo_length,level(t_139)),
file('theBenchmark.p',quest_1) ).
cnf(c_1656,plain,
gt(fifo_length,level(t_139)),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_21,axiom,
! [VAR_0] : level(VAR_0) = int_level(VAR_0),
file('theBenchmark.p',axiom_21) ).
cnf(c_1657,plain,
level(A) = int_level(A),
inference(clausify,[status(thm)],[axiom_21]) ).
cnf(c_1989,plain,
( ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_1655,c_381]) ).
cnf(c_1990,plain,
~ p_Rd(t_139),
inference(resolve,[status(thm)],[c_1655,c_379]) ).
cnf(c_2055,plain,
~ gt(fifo_length,int_level(t_139)),
inference(resolve,[status(thm)],[c_1990,c_1989]) ).
cnf(c_2125,plain,
gt(fifo_length,int_level(t_139)),
inference(paramod,[status(thm)],[c_1657,c_1656]) ).
cnf(c_2124,plain,
$false,
inference(resolve,[status(thm)],[c_2055,c_2125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n010.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Fri Sep 25 16:00:59 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 1169130 was started by sandbox2 on n010,
% 0.17/0.45 % Fri Sep 25 16:00:59 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.46
% 0.17/0.46 % From the command line: assign(max_seconds, 300).
% 15.47/2.49
% 15.47/2.49 % SZS status Unsatisfiable for theBenchmark
% 15.47/2.49
% 15.47/2.49 % Proof 1 at 1.96 (+ 0.04) seconds.
% 15.47/2.49 % Length of proof is 17.
% 15.47/2.49 % Level of proof is 6.
% 15.47/2.49 % Maximum clause weight is 20.000.
% 15.47/2.49 % Given clauses 180.
% 15.47/2.49
% 15.47/2.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------