%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM491+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:17:10 AM UTC 2026
% Result : Theorem 9.83s 1.75s
% Output : CNFRefutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 14 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 11 ( 4 ~; 3 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1837,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('theBenchmark.p',m__1837) ).
fof(m__,conjecture,
( doDivides0(xp,sdtasdt0(xp,xm))
| ? [W0] :
( sdtasdt0(xp,xm) = sdtasdt0(xp,W0)
& aNaturalNumber0(W0) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ( doDivides0(xp,sdtasdt0(xp,xm))
| ? [W0] :
( sdtasdt0(xp,xm) = sdtasdt0(xp,W0)
& aNaturalNumber0(W0) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_272,negated_conjecture,
( sdtasdt0(xp,xm) != sdtasdt0(xp,A)
| ~ aNaturalNumber0(A) ),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_515,plain,
aNaturalNumber0(xm),
inference(clausify,[status(thm)],[m__1837]) ).
cnf(c_2587,negated_conjecture,
sdtasdt0(xp,xm) != sdtasdt0(xp,xm),
inference(resolve,[status(thm)],[c_515,c_272]) ).
cnf(c_2586,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_2587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM491+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 02:58:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3234547 was started by sandbox2 on n009,
% 0.10/0.37 % Sat Sep 26 02:58:29 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.45
% 0.10/0.45 % From the command line: assign(max_seconds, 300).
% 9.83/1.75
% 9.83/1.75 % SZS status Theorem for theBenchmark
% 9.83/1.75
% 9.83/1.75 % Proof 1 at 1.16 (+ 0.07) seconds.
% 9.83/1.75 % Length of proof is 5.
% 9.83/1.75 % Level of proof is 2.
% 9.83/1.75 % Maximum clause weight is 19.000.
% 9.83/1.75 % Given clauses 228.
% 9.83/1.75
% 9.83/1.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------