%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM559+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 08:17:24 AM UTC 2026
% Result : Theorem 0.16s 10.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2338,axiom,
~ ~ aElementOf0(xx,xQ),
file('theBenchmark.p',m__2338) ).
cnf(c_66,plain,
aElementOf0(xx,xQ),
inference(clausify,[status(thm)],[m__2338]) ).
fof(m__2323,axiom,
~ aElementOf0(xx,xQ),
file('theBenchmark.p',m__2323) ).
cnf(c_67,plain,
~ aElementOf0(xx,xQ),
inference(clausify,[status(thm)],[m__2323]) ).
cnf(c_68,plain,
$false,
inference(resolve,[status(thm)],[c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM559+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.45 % Computer : n019.cluster.edu
% 0.16/10.45 % Model : x86_64 x86_64
% 0.16/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.45 % Memory : 8046.5625MB
% 0.16/10.45 % OS : Linux 6.8.0-71-generic
% 0.16/10.45 % CPULimit : 300
% 0.16/10.45 % WCLimit : 300
% 0.16/10.45 % DateTime : Sat Sep 26 03:14:15 UTC 2026
% 0.16/10.45 % CPUTime :
% 0.16/10.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.45 % Process 272500 was started by sandbox2 on n019,
% 0.16/10.45 % Sat Sep 26 03:14:15 2026
% 0.16/10.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/10.48
% 0.16/10.48 % From the command line: assign(max_seconds, 300).
% 0.16/10.50
% 0.16/10.50 % SZS status Theorem for theBenchmark
% 0.16/10.50
% 0.16/10.50 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.16/10.50 % Length of proof is 4.
% 0.16/10.50 % Level of proof is 2.
% 0.16/10.50 % Maximum clause weight is 3.000.
% 0.16/10.50 % Given clauses 0.
% 0.16/10.50
% 0.16/10.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------