%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM489+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 : n010.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 0.38s 1.05s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 8 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1883,axiom,
( xr = sdtmndt0(xn,xp)
& sdtpldt0(xp,xr) = xn
& aNaturalNumber0(xr) ),
file('theBenchmark.p',m__1883) ).
fof(m__,conjecture,
xn = sdtpldt0(xp,xr),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_270,negated_conjecture,
sdtpldt0(xp,xr) != xn,
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_276,plain,
sdtpldt0(xp,xr) = xn,
inference(clausify,[status(thm)],[m__1883]) ).
cnf(c_277,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_270,c_276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM489+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 02:58:17 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44 % Process 2325135 was started by sandbox on n010,
% 0.16/0.44 % Sat Sep 26 02:58:17 2026
% 0.16/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.28/0.60
% 0.28/0.60 % From the command line: assign(max_seconds, 300).
% 0.38/1.05
% 0.38/1.05 % SZS status Theorem for theBenchmark
% 0.38/1.05
% 0.38/1.05 % Proof 1 at 0.43 (+ 0.00) seconds.
% 0.38/1.05 % Length of proof is 5.
% 0.38/1.05 % Level of proof is 2.
% 0.38/1.05 % Maximum clause weight is 15.000.
% 0.38/1.05 % Given clauses 0.
% 0.38/1.05
% 0.38/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------