%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM557+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 : n002.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 12:24:48 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 2 def)
% Number of atoms : 46 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 10 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
fof(f73,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f74,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f168,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
inference(ennf_transformation,[],[f72]) ).
fof(f169,plain,
( ( ( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xS) )
| xk != sbrdtbr0(xP) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f227,plain,
( ( ( ~ aElementOf0(sK19,xS)
& aElementOf0(sK19,xP)
& ~ aSubsetOf0(xP,xS) )
| xk != sbrdtbr0(xP) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f169]) ).
fof(f398,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f168]) ).
fof(f399,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f168]) ).
fof(f402,plain,
( ~ aSubsetOf0(xP,xS)
| xk != sbrdtbr0(xP) ),
inference(cnf_transformation,[],[f227]) ).
fof(f406,definition,
( spl20_1
<=> xk = sbrdtbr0(xP) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f410,definition,
( spl20_2
<=> aSubsetOf0(xP,xS) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f413,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f402,f410,f406]) ).
fof(f424,plain,
spl20_1,
inference(avatar_split_clause,[],[f398,f406]) ).
fof(f425,plain,
spl20_2,
inference(avatar_split_clause,[],[f399,f410]) ).
cnf(s1,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f413]) ).
cnf(s4,plain,
spl20_1,
inference(sat_conversion,[],[f424]) ).
cnf(s5,plain,
spl20_2,
inference(sat_conversion,[],[f425]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM557+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:32:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (3854938)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3854948)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3810619687:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (3854944)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3854948) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3854938-3854948"...
% 0.10/0.44 % (3854948)...printing done.
% 0.10/0.44 % (3854948)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3854948)------------------------------
% 0.10/0.44 % (3854948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3854948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3854948)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3854948)Termination reason: Refutation
% 0.10/0.44 % (3854948)Time elapsed: 0.004 s
% 0.10/0.44 % (3854948)Peak memory usage: 12 MB
% 0.10/0.44 % (3854948)Instructions burned: 10 (million)
% 0.10/0.44 % (3854938)Success in time 0.03 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------