%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM606+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 : n016.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 12:24:59 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 52 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 12 ~; 8 |; 20 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f98,axiom,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f101,conjecture,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f102,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f222,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f250,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) )
& aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f98]) ).
fof(f251,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f254,plain,
( ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xQ) )
& ~ aSubsetOf0(xQ,szNzAzT0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f436,plain,
( ~ aElementOf0(sK72,szNzAzT0)
& aElementOf0(sK72,xQ)
& ~ aSubsetOf0(xQ,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X0,sK72)],[f254]) ).
fof(f585,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f828,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f250]) ).
fof(f832,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f251]) ).
fof(f838,plain,
aElementOf0(sK72,xQ),
inference(cnf_transformation,[],[f436]) ).
fof(f839,plain,
~ aElementOf0(sK72,szNzAzT0),
inference(cnf_transformation,[],[f436]) ).
fof(f934,plain,
aElementOf0(sK72,xO),
inference(resolution,[],[f832,f838]) ).
fof(f935,plain,
aElementOf0(sK72,xS),
inference(resolution,[],[f934,f828]) ).
fof(f942,plain,
aElementOf0(sK72,szNzAzT0),
inference(resolution,[],[f935,f585]) ).
fof(f943,plain,
$false,
inference(forward_subsumption_resolution,[],[f942,f839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM606+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 20:48:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (2974872)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2974882)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1177438453:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (2974878)% WARNING: option uhcvi not known.
% 0.11/0.46 % (2974877)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2996740245_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2974879)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2305786488:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2974880)dis+10_1_sil=32000:sp=arity:random_seed=2843874109:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2974881)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=365614227:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (2974883)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2805720843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2974878)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3893390561:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (2974880) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2974872-2974880"...
% 0.11/0.46 % (2974880)...printing done.
% 0.11/0.46 % (2974880)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2974880)------------------------------
% 0.11/0.46 % (2974880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2974880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2974880)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2974880)Termination reason: Refutation
% 0.11/0.46 % (2974880)Time elapsed: 0.013 s
% 0.11/0.46 % (2974880)Peak memory usage: 12 MB
% 0.11/0.46 % (2974880)Instructions burned: 22 (million)
% 0.11/0.46 % (2974872)Success in time 0.051 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------