%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM496+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:15:27 PM UTC 2026
% Result : Theorem 4.76s 1.71s
% Output : Refutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 20 unt; 1 def)
% Number of atoms : 260 ( 41 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 328 ( 144 ~; 139 |; 30 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 79 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,X2) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f46,axiom,
( doDivides0(xp,xr)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2027) ).
fof(f47,conjecture,
( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f64,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f78]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f101,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f104,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f103]) ).
fof(f117,plain,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f48]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f124]) ).
fof(f135,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f161,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f182,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f187,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f201,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f207,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f208,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f212,plain,
( doDivides0(xp,xr)
| doDivides0(xp,xm) ),
inference(cnf_transformation,[],[f46]) ).
fof(f213,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f117]) ).
fof(f214,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f117]) ).
fof(f217,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f221,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f182]) ).
fof(f228,plain,
doDivides0(xp,xr),
inference(forward_subsumption_resolution,[],[f212,f213]) ).
fof(f230,definition,
( spl4_1
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f231,plain,
( aNaturalNumber0(sz10)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f247,plain,
spl4_1,
inference(avatar_split_clause,[],[f135,f230]) ).
fof(f249,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f217,f208]) ).
fof(f250,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f249,f207]) ).
fof(f251,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f250,f201]) ).
fof(f252,plain,
aNaturalNumber0(xr),
inference(forward_subsumption_resolution,[],[f251,f203]) ).
fof(f253,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f218,f207]) ).
fof(f256,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f253,f201]) ).
fof(f258,plain,
xn = sdtpldt0(xp,sdtmndt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f256,f203]) ).
fof(f259,plain,
xn = sdtpldt0(xp,xr),
inference(forward_demodulation,[],[f258,f208]) ).
fof(f292,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f187,f259]) ).
fof(f294,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f292,f201]) ).
fof(f295,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f294,f252]) ).
fof(f483,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[],[f186,f228]) ).
fof(f494,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f483,f201]) ).
fof(f497,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f494,f252]) ).
fof(f762,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f145,f201]) ).
fof(f848,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f221,f762]) ).
fof(f853,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f898,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f295,f497]) ).
fof(f922,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f853,f231]) ).
fof(f940,plain,
( doDivides0(xp,xp)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f922,f201]) ).
fof(f4490,plain,
( doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ spl4_1 ),
inference(resolution,[],[f940,f898]) ).
fof(f4502,plain,
( ~ aNaturalNumber0(xp)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f4490,f214]) ).
fof(f4503,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f4502,f201]) ).
fof(f4504,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f4503]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f247]) ).
cnf(s172,plain,
~ spl4_1,
inference(sat_conversion,[],[f4504]) ).
cnf(s249,plain,
$false,
inference(rat,[],[s3,s172]) ).
fof(f4505,plain,
$false,
inference(avatar_sat_refutation,[],[s249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM496+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:13:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.76/1.71 % (3713215)Detected formulas, will run a generic FOF schedule.
% 4.76/1.71 % (3713220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=882305180:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.76/1.71 % (3713226)dis-21_1_sil=8000:lcm=predicate:random_seed=3090557653:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.76/1.71 % (3713221)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4061983330:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.76/1.71 % (3713222)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3095083595:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.76/1.71 % (3713224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2443087385:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.76/1.71 % (3713223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1777834281:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.76/1.71 % (3713225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1162174569:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.76/1.71 % (3713223)Instruction limit reached!
% 4.76/1.71 % (3713223)------------------------------
% 4.76/1.71 % (3713223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713223)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713223)Termination reason: Instruction limit
% 4.76/1.71 % (3713223)Termination phase: Saturation
% 4.76/1.71 % (3713223)Time elapsed: 0.064 s
% 4.76/1.71 % (3713223)Peak memory usage: 89 MB
% 4.76/1.71 % (3713223)Instructions burned: 110 (million)
% 4.76/1.71 % (3713224)Instruction limit reached!
% 4.76/1.71 % (3713224)------------------------------
% 4.76/1.71 % (3713224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713224)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713224)Termination reason: Instruction limit
% 4.76/1.71 % (3713224)Termination phase: Saturation
% 4.76/1.71 % (3713224)Time elapsed: 0.071 s
% 4.76/1.71 % (3713224)Peak memory usage: 88 MB
% 4.76/1.71 % (3713224)Instructions burned: 120 (million)
% 4.76/1.71 % (3713226)Instruction limit reached!
% 4.76/1.71 % (3713226)------------------------------
% 4.76/1.71 % (3713226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713226)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713226)Termination reason: Instruction limit
% 4.76/1.71 % (3713226)Termination phase: Saturation
% 4.76/1.71 % (3713226)Time elapsed: 0.078 s
% 4.76/1.71 % (3713226)Peak memory usage: 90 MB
% 4.76/1.71 % (3713226)Instructions burned: 129 (million)
% 4.76/1.71 % (3713225)Instruction limit reached!
% 4.76/1.71 % (3713225)------------------------------
% 4.76/1.71 % (3713225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713225)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713225)Termination reason: Instruction limit
% 4.76/1.71 % (3713225)Termination phase: Saturation
% 4.76/1.71 % (3713225)Time elapsed: 0.094 s
% 4.76/1.71 % (3713225)Peak memory usage: 90 MB
% 4.76/1.71 % (3713225)Instructions burned: 140 (million)
% 4.76/1.71 % (3713235)lrs+10_1_sil=32000:urr=on:br=off:random_seed=735571268:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.76/1.71 % (3713234)lrs+10_1_sil=8000:sp=occurrence:random_seed=2534726352:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.76/1.71 % (3713235)Refutation not found, incomplete strategy
% 4.76/1.71 % (3713235)------------------------------
% 4.76/1.71 % (3713235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713235)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713235)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.71 % (3713235)Time elapsed: 0.002 s
% 4.76/1.71 % (3713235)Peak memory usage: 88 MB
% 4.76/1.71 % (3713235)Instructions burned: 1 (million)
% 4.76/1.71 % (3713236)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1945538871:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.76/1.71 % (3713237)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3161526376:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.76/1.71 % (3713234)Instruction limit reached!
% 4.76/1.71 % (3713234)------------------------------
% 4.76/1.71 % (3713234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713234)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713234)Termination reason: Instruction limit
% 4.76/1.71 % (3713234)Termination phase: Saturation
% 4.76/1.71 % (3713234)Time elapsed: 0.165 s
% 4.76/1.71 % (3713234)Peak memory usage: 92 MB
% 4.76/1.71 % (3713234)Instructions burned: 286 (million)
% 4.76/1.71 % (3713237)Instruction limit reached!
% 4.76/1.71 % (3713237)------------------------------
% 4.76/1.71 % (3713237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713237)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713237)Termination reason: Instruction limit
% 4.76/1.71 % (3713237)Termination phase: Saturation
% 4.76/1.71 % (3713237)Time elapsed: 0.114 s
% 4.76/1.71 % (3713237)Peak memory usage: 93 MB
% 4.76/1.71 % (3713237)Instructions burned: 249 (million)
% 4.76/1.71 % (3713236)Instruction limit reached!
% 4.76/1.71 % (3713236)------------------------------
% 4.76/1.71 % (3713236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713236)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713236)Termination reason: Instruction limit
% 4.76/1.71 % (3713236)Termination phase: Saturation
% 4.76/1.71 % (3713236)Time elapsed: 0.199 s
% 4.76/1.71 % (3713236)Peak memory usage: 92 MB
% 4.76/1.71 % (3713236)Instructions burned: 326 (million)
% 4.76/1.71 % (3713235)------------------------------
% 4.76/1.71 % (3713235)------------------------------
% 4.76/1.71 % (3713220)First to succeed.
% 4.76/1.71 % (3713220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3713215"
% 4.76/1.71 % (3713242)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2727362905:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.76/1.71 % (3713243)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4106177071:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.76/1.71 % (3713244)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3755308644:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.76/1.71 % (3713245)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3622437589:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.76/1.71 % (3713244)Instruction limit reached!
% 4.76/1.71 % (3713244)------------------------------
% 4.76/1.71 % (3713244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.71 % (3713244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.71 % (3713244)CaDiCaL version: 2.1.3
% 4.76/1.71 % (3713244)Termination reason: Instruction limit
% 4.76/1.71 % (3713244)Termination phase: Saturation
% 4.76/1.71 % (3713244)Time elapsed: 0.069 s
% 4.76/1.71 % (3713244)Peak memory usage: 90 MB
% 4.76/1.71 % (3713244)Instructions burned: 113 (million)
% 4.76/1.71 % (3713220)Refutation found. Thanks to Tanya!
% 4.76/1.71 % SZS status Theorem for theBenchmark
% 4.76/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 6.63/1.92 % (3713220)------------------------------
% 6.63/1.92 % (3713220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.92 % (3713220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.92 % (3713220)CaDiCaL version: 2.1.3
% 6.63/1.92 % (3713220)Termination reason: Refutation
% 6.63/1.92 % (3713220)Time elapsed: 0.546 s
% 6.63/1.92 % (3713220)Peak memory usage: 134 MB
% 6.63/1.92 % (3713220)Instructions burned: 1522 (million)
% 6.63/1.92 % (3713220)------------------------------
% 6.63/1.92 % (3713220)------------------------------
% 6.63/1.92 % (3713215)Success in time 0.847 s
% 6.63/1.92 % Vampire exiting
%------------------------------------------------------------------------------