%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM565+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 : n003.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 : 13
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 94 ( 36 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 101 ( 30 ~; 15 |; 44 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f78,axiom,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f80,conjecture,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f81,negated_conjecture,
~ ! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f92,plain,
~ ! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(rectify,[],[f81]) ).
fof(f143,plain,
! [X0] :
( ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f198,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& aSet0(slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f92]) ).
fof(f199,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& aSet0(slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(flattening,[],[f198]) ).
fof(f234,plain,
! [X0] :
( ( ( sbrdtbr0(X0) = sz00
| slcrc0 != X0 )
& ( X0 = slcrc0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f286,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(X0)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = sz00
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(rectify,[],[f199]) ).
fof(f287,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK37)
& aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(sK37)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sK37) )
& aSubsetOf0(sK37,xS)
& sz00 = sbrdtbr0(sK37)
& aElementOf0(sK37,slbdtsldtrb0(xS,sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f286]) ).
fof(f355,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f484,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f491,plain,
sz00 = sbrdtbr0(sK37),
inference(cnf_transformation,[],[f287]) ).
fof(f494,plain,
aSet0(sK37),
inference(cnf_transformation,[],[f287]) ).
fof(f497,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK37),
inference(cnf_transformation,[],[f287]) ).
fof(f505,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f355,f484]) ).
fof(f510,plain,
xK = sbrdtbr0(sK37),
inference(definition_unfolding,[],[f491,f484]) ).
fof(f658,plain,
( xK != xK
| slcrc0 = sK37
| ~ aSet0(sK37) ),
inference(superposition,[],[f505,f510]) ).
fof(f659,plain,
( slcrc0 = sK37
| ~ aSet0(sK37) ),
inference(trivial_inequality_removal,[],[f658]) ).
fof(f660,plain,
slcrc0 = sK37,
inference(forward_subsumption_resolution,[],[f659,f494]) ).
fof(f664,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(superposition,[],[f497,f660]) ).
fof(f670,plain,
$false,
inference(trivial_inequality_removal,[],[f664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM565+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n003.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:33:27 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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 % (898950)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (898955)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3515730491_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (898956)% WARNING: option uhcvi not known.
% 0.17/0.48 % (898956)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=785969117:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (898957)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2142669578:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (898958)dis+10_1_sil=32000:sp=arity:random_seed=3555126129:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (898959)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1271199165:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (898961)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4258453229:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (898960)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1067838518:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (898958) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-898950-898958"...
% 0.17/0.48 % (898956) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-898950-898956"...
% 0.17/0.48 % (898958)...printing done.
% 0.17/0.48 % (898956)...printing done.
% 0.17/0.48 % (898958)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 % (898958)------------------------------
% 0.17/0.48 % (898958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (898958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (898958)CaDiCaL version: 2.1.3
% 0.17/0.48 % (898958)Termination reason: Refutation
% 0.17/0.48 % (898958)Time elapsed: 0.010 s
% 0.17/0.48 % (898958)Peak memory usage: 12 MB
% 0.17/0.48 % (898958)Instructions burned: 14 (million)
% 0.17/0.48 % (898950)Success in time 0.045 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------