%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM519+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 : n019.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 08:17:15 AM UTC 2026
% Result : Theorem 2.04s 0.74s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 18 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 14 ( 4 ~; 4 |; 6 &)
% ( 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 : 4 ( 0 sgn 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2449,axiom,
( ( doDivides0(xr,xm)
& ? [W0] :
( xm = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) )
| ( doDivides0(xr,xn)
& ? [W0] :
( xn = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ) ),
file('theBenchmark.p',m__2449) ).
fof(m__2487,axiom,
~ ( doDivides0(xr,xn)
| ? [W0] :
( xn = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ),
file('theBenchmark.p',m__2487) ).
fof(m__2698,axiom,
~ ( doDivides0(xr,xm)
| ? [W0] :
( xm = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ),
file('theBenchmark.p',m__2698) ).
cnf(c_308,plain,
~ doDivides0(xr,xm),
inference(clausify,[status(thm)],[m__2698]) ).
cnf(c_310,plain,
~ doDivides0(xr,xn),
inference(clausify,[status(thm)],[m__2487]) ).
cnf(c_312,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(clausify,[status(thm)],[m__2449]) ).
cnf(c_314,plain,
doDivides0(xr,xm),
inference(resolve,[status(thm)],[c_310,c_312]) ).
cnf(c_313,plain,
$false,
inference(resolve,[status(thm)],[c_308,c_314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:05:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 261978 was started by sandbox2 on n019,
% 0.09/0.36 % Sat Sep 26 03:05:18 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.44
% 0.13/0.44 % From the command line: assign(max_seconds, 300).
% 2.04/0.74
% 2.04/0.74 % SZS status Theorem for theBenchmark
% 2.04/0.74
% 2.04/0.74 % Proof 1 at 0.28 (+ 0.00) seconds.
% 2.04/0.74 % Length of proof is 7.
% 2.04/0.74 % Level of proof is 2.
% 2.04/0.74 % Maximum clause weight is 8.000.
% 2.04/0.74 % Given clauses 0.
% 2.04/0.74
% 2.04/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------