%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM540+2 : 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 : n001.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 08:17:20 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 19 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 2 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 1 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ( ( ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(nnf_50,plain,
( slbdtrb0(sz00) != slcrc0
& ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(fof_nnf,[status(thm)],[m___neg]) ).
fof(sk_m___neg,plain,
( slbdtrb0(sz00) != slcrc0
& aElementOf0(sK0,slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(W0,sK0)],[nnf_50]) ).
cnf(c_52,negated_conjecture,
aElementOf0(sK0,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_53,negated_conjecture,
~ aElementOf0(A,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_54,plain,
$false,
inference(resolve,[status(thm)],[c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 03:15:56 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 771950 was started by sandbox2 on n001,
% 0.08/0.36 % Sat Sep 26 03:15:56 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.39
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39
% 0.13/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.39 % Length of proof is 4.
% 0.13/0.39 % Level of proof is 2.
% 0.13/0.39 % Maximum clause weight is 4.000.
% 0.13/0.39 % Given clauses 0.
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------