%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM634+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:17:39 AM UTC 2026
% Result : Theorem 15.64s 2.90s
% Output : CNFRefutation 15.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 4 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 ( 0 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__3520,axiom,
~ ( xK != sz00 ),
file('theBenchmark.p',m__3520) ).
fof(m__3462,axiom,
xK != sz00,
file('theBenchmark.p',m__3462) ).
cnf(c_661,plain,
xK != sz00,
inference(clausify,[status(thm)],[m__3462]) ).
cnf(c_662,plain,
xK = sz00,
inference(clausify,[status(thm)],[m__3520]) ).
cnf(c_663,plain,
$false,
inference(resolve,[status(thm)],[c_661,c_662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM634+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n026.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 03:34:25 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.46 % Process 4190019 was started by sandbox on n026,
% 0.18/0.46 % Sat Sep 26 03:34:25 2026
% 0.18/0.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.38/0.69
% 0.38/0.69 % From the command line: assign(max_seconds, 300).
% 15.64/2.90
% 15.64/2.90 % SZS status Theorem for theBenchmark
% 15.64/2.90
% 15.64/2.90 % Proof 1 at 2.18 (+ 0.01) seconds.
% 15.64/2.90 % Length of proof is 4.
% 15.64/2.90 % Level of proof is 2.
% 15.64/2.90 % Maximum clause weight is 3.000.
% 15.64/2.90 % Given clauses 0.
% 15.64/2.90
% 15.64/2.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------