%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV011-1 : 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 : n017.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 18.63s 2.88s
% Output : CNFRefutation 18.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 29 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_2,axiom,
( level(t_139) = fifo_length
| p_Full(t_139) ),
file('theBenchmark.p',quest_2) ).
cnf(c_523,plain,
( level(t_139) = fifo_length
| p_Full(t_139) ),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
file('theBenchmark.p',quest_1) ).
cnf(c_524,plain,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_23,axiom,
! [VAR_0] :
( ~ p_Full(VAR_0)
| int_level(VAR_0) = fifo_length ),
file('theBenchmark.p',axiom_23) ).
cnf(c_525,plain,
( ~ p_Full(A)
| int_level(A) = fifo_length ),
inference(clausify,[status(thm)],[axiom_23]) ).
fof(axiom_22,axiom,
! [VAR_0] :
( p_Full(VAR_0)
| int_level(VAR_0) != fifo_length ),
file('theBenchmark.p',axiom_22) ).
cnf(c_526,plain,
( p_Full(A)
| int_level(A) != fifo_length ),
inference(clausify,[status(thm)],[axiom_22]) ).
fof(axiom_21,axiom,
! [VAR_0] : level(VAR_0) = int_level(VAR_0),
file('theBenchmark.p',axiom_21) ).
cnf(c_527,plain,
level(A) = int_level(A),
inference(clausify,[status(thm)],[axiom_21]) ).
cnf(c_3426,plain,
( level(t_139) = fifo_length
| int_level(t_139) = fifo_length ),
inference(resolve,[status(thm)],[c_525,c_523]) ).
cnf(c_4099,plain,
( fifo_length = int_level(t_139)
| int_level(t_139) = fifo_length ),
inference(paramod,[status(thm)],[c_3426,c_527]) ).
cnf(c_4100,plain,
( int_level(t_139) = fifo_length
| int_level(t_139) = fifo_length ),
inference(copy,[status(thm)],[c_4099]) ).
cnf(c_4072,plain,
int_level(t_139) = fifo_length,
inference(copy,[status(thm)],[c_4100]) ).
cnf(c_4073,plain,
p_Full(t_139),
inference(resolve,[status(thm)],[c_4072,c_526]) ).
cnf(c_4084,plain,
level(t_139) = fifo_length,
inference(paramod,[status(thm)],[c_4072,c_527]) ).
cnf(c_4101,plain,
level(t_139) != fifo_length,
inference(resolve,[status(thm)],[c_4073,c_524]) ).
cnf(c_4098,plain,
$false,
inference(resolve,[status(thm)],[c_4084,c_4101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n017.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 15:56:18 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 2704096 was started by sandbox on n017,
% 0.17/0.44 % Fri Sep 25 15:56:18 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.46
% 0.17/0.46 % From the command line: assign(max_seconds, 300).
% 18.63/2.88
% 18.63/2.88 % SZS status Unsatisfiable for theBenchmark
% 18.63/2.88
% 18.63/2.88 % Proof 1 at 2.34 (+ 0.07) seconds.
% 18.63/2.88 % Length of proof is 10.
% 18.63/2.88 % Level of proof is 4.
% 18.63/2.88 % Maximum clause weight is 18.000.
% 18.63/2.88 % Given clauses 445.
% 18.63/2.88
% 18.63/2.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------