%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:24:50 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 57 ( 22 ~; 6 |; 23 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 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 : 14 ( 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,conjecture,
( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f80,negated_conjecture,
~ ( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f90,plain,
~ ( ( aSet0(slcrc0)
& ~ ? [X0] : aElementOf0(X0,slcrc0) )
=> ( ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(rectify,[],[f80]) ).
fof(f195,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X0] : ~ aElementOf0(X0,slcrc0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f196,plain,
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X0] : ~ aElementOf0(X0,slcrc0) ),
inference(flattening,[],[f195]) ).
fof(f283,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,slcrc0) )
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0) ),
inference(rectify,[],[f196]) ).
fof(f284,plain,
( ~ aElementOf0(sK37,xS)
& aElementOf0(sK37,slcrc0)
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f283]) ).
fof(f482,plain,
! [X1] : ~ aElementOf0(X1,slcrc0),
inference(cnf_transformation,[],[f284]) ).
fof(f486,plain,
aElementOf0(sK37,slcrc0),
inference(cnf_transformation,[],[f284]) ).
fof(f500,plain,
$false,
inference(forward_subsumption_resolution,[],[f486,f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:31:15 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % (2737256)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (2737266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2136007572:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (2737262)% WARNING: option uhcvi not known.
% 0.17/0.48 % (2737266) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2737256-2737266"...
% 0.17/0.48 % (2737266)...printing done.
% 0.17/0.48 % (2737266)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (2737266)------------------------------
% 0.17/0.48 % (2737266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (2737266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (2737266)CaDiCaL version: 2.1.3
% 0.17/0.48 % (2737266)Termination reason: Refutation
% 0.17/0.48 % (2737266)Time elapsed: 0.003 s
% 0.17/0.48 % (2737266)Peak memory usage: 11 MB
% 0.17/0.48 % (2737266)Instructions burned: 8 (million)
% 0.17/0.48 % (2737256)Success in time 0.036 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------