%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM520+1 : 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 : n013.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 0.09s 5.97s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2315,axiom,
~ ( xk = sz10
| xk = sz00 ),
file('theBenchmark.p',m__2315) ).
fof(m__2327,axiom,
~ ( xk != sz10
& xk != sz00 ),
file('theBenchmark.p',m__2327) ).
cnf(c_87,plain,
( xk = sz10
| xk = sz00 ),
inference(clausify,[status(thm)],[m__2327]) ).
cnf(c_88,plain,
xk != sz10,
inference(clausify,[status(thm)],[m__2315]) ).
cnf(c_89,plain,
xk != sz00,
inference(clausify,[status(thm)],[m__2315]) ).
cnf(c_189,plain,
xk = sz10,
inference(resolve,[status(thm)],[c_89,c_87]) ).
cnf(c_188,plain,
$false,
inference(resolve,[status(thm)],[c_88,c_189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM520+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.94 % Computer : n013.cluster.edu
% 0.09/5.94 % Model : x86_64 x86_64
% 0.09/5.94 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.94 % Memory : 8046.5625MB
% 0.09/5.94 % OS : Linux 6.8.0-71-generic
% 0.09/5.94 % CPULimit : 300
% 0.09/5.94 % WCLimit : 300
% 0.09/5.94 % DateTime : Sat Sep 26 03:05:06 UTC 2026
% 0.09/5.94 % CPUTime :
% 0.09/5.94 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.94 % Process 1810150 was started by sandbox2 on n013,
% 0.09/5.94 % Sat Sep 26 03:05:06 2026
% 0.09/5.94 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.96
% 0.09/5.96 % From the command line: assign(max_seconds, 300).
% 0.09/5.97
% 0.09/5.97 % SZS status Theorem for theBenchmark
% 0.09/5.97
% 0.09/5.97 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/5.97 % Length of proof is 6.
% 0.09/5.97 % Level of proof is 2.
% 0.09/5.97 % Maximum clause weight is 11.000.
% 0.09/5.97 % Given clauses 0.
% 0.09/5.97
% 0.09/5.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------