%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT388+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 : n006.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 07:50:31 AM UTC 2026
% Result : Theorem 0.12s 15.63s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 3 ( 1 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1330,axiom,
( aSupremumOfIn0(xp,xT,xS)
& aFixedPointOf0(xp,xf) ),
file('theBenchmark.p',m__1330) ).
fof(m__,conjecture,
? [W0] : aSupremumOfIn0(W0,xT,xS),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ? [W0] : aSupremumOfIn0(W0,xT,xS),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_85,negated_conjecture,
~ aSupremumOfIn0(A,xT,xS),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_86,plain,
aSupremumOfIn0(xp,xT,xS),
inference(clausify,[status(thm)],[m__1330]) ).
cnf(c_87,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_85,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT388+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/15.60 % Computer : n006.cluster.edu
% 0.12/15.60 % Model : x86_64 x86_64
% 0.12/15.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.60 % Memory : 8046.5625MB
% 0.12/15.60 % OS : Linux 6.8.0-71-generic
% 0.12/15.60 % CPULimit : 300
% 0.12/15.60 % WCLimit : 300
% 0.12/15.60 % DateTime : Fri Sep 25 21:39:34 UTC 2026
% 0.12/15.61 % CPUTime :
% 0.12/15.61 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/15.61 % Process 3804096 was started by sandbox2 on n006,
% 0.12/15.61 % Fri Sep 25 21:39:34 2026
% 0.12/15.61 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/15.62
% 0.12/15.62 % From the command line: assign(max_seconds, 300).
% 0.12/15.63
% 0.12/15.63 % SZS status Theorem for theBenchmark
% 0.12/15.63
% 0.12/15.63 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/15.63 % Length of proof is 5.
% 0.12/15.63 % Level of proof is 2.
% 0.12/15.63 % Maximum clause weight is 9.000.
% 0.12/15.63 % Given clauses 0.
% 0.12/15.63
% 0.12/15.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------