%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM564+3 : 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 : 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 08:17:25 AM UTC 2026
% Result : Theorem 23.20s 3.53s
% Output : CNFRefutation 23.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 32 ( 12 ~; 4 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ( ( ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(nnf_74,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,slcrc0) )
& ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
inference(fof_nnf,[status(thm)],[m___neg]) ).
fof(sk_m___neg,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(sK0,xS)
& aElementOf0(sK0,slcrc0)
& ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(W0,sK0)],[nnf_74]) ).
cnf(c_646,negated_conjecture,
~ aElementOf0(A,slcrc0),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_647,negated_conjecture,
aElementOf0(sK0,slcrc0),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_648,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_646,c_647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:17:41 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 4160918 was started by sandbox2 on n026,
% 0.08/0.37 % Sat Sep 26 03:17:41 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.21/0.47
% 0.21/0.47 % From the command line: assign(max_seconds, 300).
% 23.20/3.53
% 23.20/3.53 % SZS status Theorem for theBenchmark
% 23.20/3.53
% 23.20/3.53 % Proof 1 at 2.92 (+ 0.02) seconds.
% 23.20/3.53 % Length of proof is 4.
% 23.20/3.53 % Level of proof is 2.
% 23.20/3.53 % Maximum clause weight is 8.000.
% 23.20/3.53 % Given clauses 0.
% 23.20/3.53
% 23.20/3.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------