%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV032-1 : 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 07:34:24 AM UTC 2026
% Result : Unsatisfiable 9.83s 6.69s
% Output : CNFRefutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 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_28,axiom,
! [VAR_0] :
( rd_level(plus(VAR_0,n1)) = n0
| ~ p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_28) ).
cnf(c_72,plain,
( rd_level(plus(A,n1)) = n0
| ~ p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_28]) ).
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_505,plain,
rd_level(plus(t_139,n1)) = n0,
inference(resolve,[status(thm)],[c_72,c_68]) ).
cnf(c_506,plain,
rd_level(plus(t_139,n1)) = int_level(plus(t_139,n1)),
inference(paramod,[status(thm)],[c_502,c_505]) ).
fof(quest_2,axiom,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
file('theBenchmark.p',quest_2) ).
cnf(c_534,plain,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
inference(clausify,[status(thm)],[quest_2]) ).
cnf(c_535,plain,
~ gt(fifo_length,int_level(plus(t_139,n1))),
inference(paramod,[status(thm)],[c_506,c_534]) ).
fof(quest_3,axiom,
gt(fifo_length,n0),
file('theBenchmark.p',quest_3) ).
cnf(c_536,plain,
gt(fifo_length,n0),
inference(clausify,[status(thm)],[quest_3]) ).
cnf(c_538,plain,
gt(fifo_length,int_level(plus(t_139,n1))),
inference(paramod,[status(thm)],[c_502,c_536]) ).
cnf(c_537,plain,
$false,
inference(resolve,[status(thm)],[c_535,c_538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV032-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n004.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Fri Sep 25 16:03:28 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.36 % Process 3611103 was started by sandbox on n004,
% 0.08/5.36 % Fri Sep 25 16:03:28 2026
% 0.08/5.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/5.37
% 0.08/5.37 % From the command line: assign(max_seconds, 300).
% 9.83/6.69
% 9.83/6.69 % SZS status Unsatisfiable for theBenchmark
% 9.83/6.69
% 9.83/6.69 % Proof 1 at 1.29 (+ 0.01) seconds.
% 9.83/6.69 % Length of proof is 11.
% 9.83/6.69 % Level of proof is 5.
% 9.83/6.69 % Maximum clause weight is 24.000.
% 9.83/6.69 % Given clauses 0.
% 9.83/6.69
% 9.83/6.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------