%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 : Tue Sep 29 12:24:44 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 3 |; 9 &)
% ( 0 <=>; 3 =>; 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 : 11 ( 6 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(rectify,[],[f53]) ).
fof(f132,plain,
( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f133,plain,
( ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aSet0(slbdtrb0(sz00))
& ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)) ),
inference(flattening,[],[f132]) ).
fof(f219,plain,
! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f133]) ).
fof(f222,plain,
aElementOf0(sK9,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f133]) ).
fof(f248,plain,
$false,
inference(forward_subsumption_resolution,[],[f222,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:24:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 % (3382391)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (3382400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2268270981:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.44 % (3382400) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3382391-3382400"...
% 0.11/0.44 % (3382400)...printing done.
% 0.11/0.44 % (3382397)% WARNING: option uhcvi not known.
% 0.11/0.44 % (3382400)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (3382400)------------------------------
% 0.11/0.44 % (3382400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (3382400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (3382400)CaDiCaL version: 2.1.3
% 0.11/0.44 % (3382400)Termination reason: Refutation
% 0.11/0.44 % (3382400)Time elapsed: 0.002 s
% 0.11/0.44 % (3382400)Peak memory usage: 12 MB
% 0.11/0.44 % (3382400)Instructions burned: 5 (million)
% 0.11/0.44 % (3382391)Success in time 0.03 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------