%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM590+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 12:24:56 PM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 74 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 68 ( 17 ~; 13 |; 29 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f90,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
fof(f91,axiom,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aSet0(xY)
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( aElement0(X0)
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& X0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
fof(f92,conjecture,
( ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f93,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f102,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& szmzizndt0(sdtlpdtrp0(xN,xi)) != X1 ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
inference(rectify,[],[f91]) ).
fof(f220,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f232,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& szmzizndt0(sdtlpdtrp0(xN,xi)) != X1 ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
inference(ennf_transformation,[],[f102]) ).
fof(f233,plain,
( ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xY) )
& ~ aSubsetOf0(xY,szNzAzT0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f485,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f689,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f90]) ).
fof(f691,plain,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,xY) ),
inference(cnf_transformation,[],[f232]) ).
fof(f699,plain,
aElementOf0(sK48,xY),
inference(cnf_transformation,[],[f233]) ).
fof(f700,plain,
~ aElementOf0(sK48,szNzAzT0),
inference(cnf_transformation,[],[f233]) ).
fof(f996,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f485]) ).
fof(f1189,plain,
~ aElementOf0(xi,szNzAzT0),
inference(consistent_polarity_flipping,[],[f689]) ).
fof(f1194,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xY) ),
inference(consistent_polarity_flipping,[],[f691]) ).
fof(f1197,plain,
aElementOf0(sK48,szNzAzT0),
inference(consistent_polarity_flipping,[],[f700]) ).
fof(f1198,plain,
~ aElementOf0(sK48,xY),
inference(consistent_polarity_flipping,[],[f699]) ).
fof(f1620,plain,
! [X0] :
( aElementOf0(sK48,sdtlpdtrp0(xN,X0))
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f996,f1197]) ).
fof(f1622,plain,
( aElementOf0(xi,szNzAzT0)
| aElementOf0(sK48,xY) ),
inference(resolution,[],[f1620,f1194]) ).
fof(f1625,plain,
aElementOf0(sK48,xY),
inference(forward_subsumption_resolution,[],[f1622,f1189]) ).
fof(f1626,plain,
$false,
inference(forward_subsumption_resolution,[],[f1625,f1198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n016.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 20:44:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (2970917)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2970923)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2970923)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=669812414:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (2970927)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3564234504:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2970922)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1764734704_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2970925)dis+10_1_sil=32000:sp=arity:random_seed=2866415186:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2970924)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3821551157:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2970926)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3329931436:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2970928)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=970257682:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2970923) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2970917-2970923"...
% 0.10/0.46 % (2970923)...printing done.
% 0.10/0.46 % (2970923)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2970923)------------------------------
% 0.10/0.46 % (2970923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2970923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2970923)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2970923)Termination reason: Refutation
% 0.10/0.46 % (2970923)Time elapsed: 0.014 s
% 0.10/0.46 % (2970923)Peak memory usage: 12 MB
% 0.10/0.46 % (2970923)Instructions burned: 41 (million)
% 0.10/0.46 % (2970917)Success in time 0.049 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------