%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM551+3 : 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 : n018.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 12:24:47 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 1 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 10 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f67,axiom,
~ ( ~ ? [X0] : aElementOf0(X0,xQ)
| xQ = slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2313) ).
fof(f68,conjecture,
? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f69,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f162,plain,
( ? [X0] : aElementOf0(X0,xQ)
& slcrc0 != xQ ),
inference(ennf_transformation,[],[f67]) ).
fof(f163,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f217,plain,
( aElementOf0(sK19,xQ)
& slcrc0 != xQ ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f162]) ).
fof(f218,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f366,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f368,plain,
aElementOf0(sK19,xQ),
inference(cnf_transformation,[],[f217]) ).
fof(f369,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f460,plain,
~ aElement0(sK19),
inference(resolution,[],[f368,f369]) ).
fof(f463,definition,
( spl20_4
<=> aSet0(xQ) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f465,plain,
( ~ aSet0(xQ)
| spl20_4 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f471,plain,
( $false
| spl20_4 ),
inference(resolution,[],[f465,f366]) ).
fof(f472,plain,
spl20_4,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f496,plain,
! [X0] :
( ~ aElementOf0(sK19,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f218,f460]) ).
fof(f497,plain,
~ aSet0(xQ),
inference(resolution,[],[f496,f368]) ).
fof(f508,plain,
~ spl20_4,
inference(avatar_split_clause,[],[f497,f463]) ).
cnf(s5,plain,
spl20_4,
inference(sat_conversion,[],[f472]) ).
cnf(s10,plain,
~ spl20_4,
inference(sat_conversion,[],[f508]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s10]) ).
fof(f509,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM551+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:29:39 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.46 % (2700457)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2700468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1089413853:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (2700463)% WARNING: option uhcvi not known.
% 0.18/0.46 % (2700468) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2700457-2700468"...
% 0.18/0.46 % (2700468)...printing done.
% 0.18/0.46 % (2700468)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2700468)------------------------------
% 0.18/0.46 % (2700468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2700468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2700468)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2700468)Termination reason: Refutation
% 0.18/0.46 % (2700468)Time elapsed: 0.004 s
% 0.18/0.46 % (2700468)Peak memory usage: 12 MB
% 0.18/0.46 % (2700468)Instructions burned: 11 (million)
% 0.18/0.46 % (2700457)Success in time 0.03 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------