%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM609+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 : n026.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 12:25:00 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 37 ( 9 ~; 4 |; 17 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f107,conjecture,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) )
| aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f108,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) )
| aSubsetOf0(xP,xQ) ),
inference(negated_conjecture,[status(cth)],[f107]) ).
fof(f123,plain,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f269,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(ennf_transformation,[],[f123]) ).
fof(f270,plain,
( ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xQ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f808,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f269]) ).
fof(f817,plain,
aElementOf0(sK59,xP),
inference(cnf_transformation,[],[f270]) ).
fof(f818,plain,
~ aElementOf0(sK59,xQ),
inference(cnf_transformation,[],[f270]) ).
fof(f1145,plain,
aElementOf0(sK59,xQ),
inference(resolution,[],[f808,f817]) ).
fof(f1146,plain,
$false,
inference(forward_subsumption_resolution,[],[f1145,f818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM609+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n026.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 20:47:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.10/0.45 % (3191367)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3191373)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3191373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3858547994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (3191372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=177997399_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3191374)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=141321699:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3191375)dis+10_1_sil=32000:sp=arity:random_seed=504341786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3191378)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=889373617:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (3191376)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3537471391:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3191377)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3130461279:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3191373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3191367-3191373"...
% 0.10/0.45 % (3191373)...printing done.
% 0.10/0.45 % (3191373)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3191373)------------------------------
% 0.10/0.45 % (3191373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3191373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3191373)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3191373)Termination reason: Refutation
% 0.10/0.45 % (3191373)Time elapsed: 0.010 s
% 0.10/0.45 % (3191373)Peak memory usage: 12 MB
% 0.10/0.45 % (3191373)Instructions burned: 34 (million)
% 0.10/0.45 % (3191367)Success in time 0.045 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------