%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM621+1 : 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 : n010.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 12:25:03 PM UTC 2026
% Result : Theorem 6.64s 1.48s
% Output : Refutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 181 ( 48 unt; 11 def)
% Number of atoms : 491 ( 93 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 486 ( 176 ~; 235 |; 37 &)
% ( 24 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 114 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f49,axiom,
! [X0,X1] :
( ( aSubsetOf0(X0,szNzAzT0)
& aSubsetOf0(X1,szNzAzT0)
& X0 != slcrc0
& X1 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X0),X1)
& aElementOf0(szmzizndt0(X1),X0) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f95,axiom,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f100,axiom,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f111,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(f118,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f119,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
fof(f125,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f130,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f131,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f142]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f189]) ).
fof(f193,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f194,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1 ),
inference(flattening,[],[f193]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f234,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f250,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f254,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f119]) ).
fof(f257,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f261,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f265,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSet0(X1)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 != X3
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f295,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f326,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(X1,X0)
| szmzizndt0(X0) != X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f331,plain,
! [X0,X1] :
( slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f364,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f218]) ).
fof(f413,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f234]) ).
fof(f414,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f431,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f432,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f250]) ).
fof(f433,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f250]) ).
fof(f441,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f449,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f100]) ).
fof(f450,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f451,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f453,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f454,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f462,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f463,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f466,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f470,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f471,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f473,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f254]) ).
fof(f475,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f257]) ).
fof(f477,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f261]) ).
fof(f487,plain,
! [X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f280]) ).
fof(f488,plain,
! [X2,X3,X0] :
( ~ aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X3) != X2 ),
inference(equality_resolution,[],[f279]) ).
fof(f489,plain,
! [X3,X0] :
( ~ aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,sdtmndt0(X0,X3)) ),
inference(equality_resolution,[],[f488]) ).
fof(f491,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0) ),
inference(equality_resolution,[],[f326]) ).
fof(f524,plain,
( isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(consistent_polarity_flipping,[],[f477]) ).
fof(f525,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f265]) ).
fof(f526,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,X1)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f264]) ).
fof(f549,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X3,X0)
| aElement0(X1) ),
inference(consistent_polarity_flipping,[],[f487]) ).
fof(f550,plain,
! [X3,X0] :
( aElementOf0(X3,sdtmndt0(X0,X3))
| ~ aSet0(X0)
| aElement0(X3) ),
inference(consistent_polarity_flipping,[],[f489]) ).
fof(f583,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(X0),X0)
| aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(consistent_polarity_flipping,[],[f491]) ).
fof(f591,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(X1),X0)
| aElementOf0(szmzizndt0(X0),X1)
| aSubsetOf0(X1,szNzAzT0)
| aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X1
| slcrc0 = X0
| szmzizndt0(X0) = szmzizndt0(X1) ),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f622,plain,
! [X0,X1] :
( ~ aElement0(sdtlpdtrp0(X0,X1))
| aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(consistent_polarity_flipping,[],[f364]) ).
fof(f661,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f414]) ).
fof(f662,plain,
! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f677,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(consistent_polarity_flipping,[],[f431]) ).
fof(f688,plain,
~ aSubsetOf0(xQ,xO),
inference(consistent_polarity_flipping,[],[f450]) ).
fof(f689,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(consistent_polarity_flipping,[],[f451]) ).
fof(f697,plain,
~ aElementOf0(xn,szNzAzT0),
inference(consistent_polarity_flipping,[],[f463]) ).
fof(f698,plain,
~ aElementOf0(xx,xP),
inference(consistent_polarity_flipping,[],[f466]) ).
fof(f701,plain,
~ aElementOf0(xm,szNzAzT0),
inference(consistent_polarity_flipping,[],[f470]) ).
fof(f704,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(consistent_polarity_flipping,[],[f473]) ).
fof(f712,definition,
( spl25_2
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f717,definition,
( spl25_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f719,plain,
( isCountable0(slcrc0)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f720,plain,
( ~ spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f524,f717,f712]) ).
fof(f721,plain,
spl25_2,
inference(avatar_split_clause,[],[f475,f712]) ).
fof(f730,plain,
xP = sdtmndt0(xQ,xp),
inference(forward_demodulation,[],[f454,f453]) ).
fof(f742,plain,
! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| aSet0(X0) ),
inference(resolution,[],[f525,f295]) ).
fof(f746,plain,
! [X0] :
( aSubsetOf0(X0,xO)
| aSet0(X0) ),
inference(resolution,[],[f525,f441]) ).
fof(f767,plain,
aSet0(xQ),
inference(resolution,[],[f746,f688]) ).
fof(f854,plain,
( aElementOf0(xp,xP)
| ~ aSet0(xQ)
| aElement0(xp) ),
inference(superposition,[],[f550,f730]) ).
fof(f855,plain,
( aElementOf0(xp,xP)
| aElement0(xp) ),
inference(forward_subsumption_resolution,[],[f854,f767]) ).
fof(f857,definition,
( spl25_12
<=> aElement0(xp) ),
introduced(definition,[new_symbols(definition,[spl25_12])],[avatar_definition]) ).
fof(f858,plain,
( ~ aElement0(xp)
| spl25_12 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f861,definition,
( spl25_13
<=> aElementOf0(xp,xP) ),
introduced(definition,[new_symbols(definition,[spl25_13])],[avatar_definition]) ).
fof(f863,plain,
( aElementOf0(xp,xP)
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f864,plain,
( spl25_12
| spl25_13 ),
inference(avatar_split_clause,[],[f855,f861,f857]) ).
fof(f896,definition,
( spl25_16
<=> slcrc0 = sdtlpdtrp0(xN,xm) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f897,plain,
( slcrc0 != sdtlpdtrp0(xN,xm)
| spl25_16 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( slcrc0 = sdtlpdtrp0(xN,xm)
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f900,definition,
( spl25_17
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl25_17])],[avatar_definition]) ).
fof(f901,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| spl25_17 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f902,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f937,plain,
( ~ aElement0(xp)
| aElementOf0(xn,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[],[f622,f462]) ).
fof(f955,plain,
( ~ aElement0(xp)
| aElementOf0(xn,szDzozmdt0(xe)) ),
inference(forward_subsumption_resolution,[],[f937,f433]) ).
fof(f957,plain,
( aElementOf0(xn,szNzAzT0)
| ~ aElement0(xp) ),
inference(forward_demodulation,[],[f955,f432]) ).
fof(f963,plain,
~ aElement0(xp),
inference(forward_subsumption_resolution,[],[f957,f697]) ).
fof(f964,plain,
~ spl25_12,
inference(avatar_split_clause,[],[f963,f857]) ).
fof(f990,plain,
sdtlpdtrp0(xe,xn) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(resolution,[],[f677,f697]) ).
fof(f1001,plain,
xp = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(forward_demodulation,[],[f990,f462]) ).
fof(f1127,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aSet0(xQ)
| ~ aElementOf0(X0,xQ)
| aElement0(xp) ),
inference(superposition,[],[f549,f730]) ).
fof(f1128,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aElementOf0(X0,xQ)
| aElement0(xp) ),
inference(forward_subsumption_resolution,[],[f1127,f767]) ).
fof(f1131,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xP) )
| spl25_12 ),
inference(forward_subsumption_resolution,[],[f1128,f858]) ).
fof(f2068,plain,
! [X2,X0,X1] :
( aElementOf0(szmzizndt0(X1),X0)
| aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1
| szmzizndt0(X0) = szmzizndt0(X1)
| aElementOf0(szmzizndt0(X0),X2)
| ~ aSet0(X1)
| aSubsetOf0(X2,X1) ),
inference(resolution,[],[f591,f526]) ).
fof(f3040,plain,
( ~ isCountable0(slcrc0)
| aElementOf0(xm,szNzAzT0)
| ~ spl25_16 ),
inference(superposition,[],[f662,f898]) ).
fof(f3065,plain,
( aElementOf0(xm,szNzAzT0)
| ~ spl25_3
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f3040,f719]) ).
fof(f3071,plain,
( $false
| ~ spl25_3
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f3065,f701]) ).
fof(f3072,plain,
( ~ spl25_3
| ~ spl25_16 ),
inference(avatar_contradiction_clause,[],[f3071]) ).
fof(f3075,plain,
( aElementOf0(xm,szNzAzT0)
| ~ spl25_17 ),
inference(resolution,[],[f902,f661]) ).
fof(f3084,plain,
( $false
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f3075,f701]) ).
fof(f3085,plain,
~ spl25_17,
inference(avatar_contradiction_clause,[],[f3084]) ).
fof(f3410,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xn))
| aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xn) ),
inference(superposition,[],[f583,f1001]) ).
fof(f3412,definition,
( spl25_195
<=> slcrc0 = sdtlpdtrp0(xN,xn) ),
introduced(definition,[new_symbols(definition,[spl25_195])],[avatar_definition]) ).
fof(f3414,plain,
( slcrc0 = sdtlpdtrp0(xN,xn)
| ~ spl25_195 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f3416,definition,
( spl25_196
<=> aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl25_196])],[avatar_definition]) ).
fof(f3418,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ spl25_196 ),
inference(avatar_component_clause,[],[f3416]) ).
fof(f3420,definition,
( spl25_197
<=> aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
introduced(definition,[new_symbols(definition,[spl25_197])],[avatar_definition]) ).
fof(f3423,plain,
( spl25_195
| spl25_196
| ~ spl25_197 ),
inference(avatar_split_clause,[],[f3410,f3420,f3416,f3412]) ).
fof(f7016,definition,
( spl25_474
<=> xp = xx ),
introduced(definition,[new_symbols(definition,[spl25_474])],[avatar_definition]) ).
fof(f7017,plain,
( xp = xx
| ~ spl25_474 ),
inference(avatar_component_clause,[],[f7016]) ).
fof(f11802,definition,
( spl25_907
<=> aElementOf0(xx,xQ) ),
introduced(definition,[new_symbols(definition,[spl25_907])],[avatar_definition]) ).
fof(f11804,plain,
( aElementOf0(xx,xQ)
| ~ spl25_907 ),
inference(avatar_component_clause,[],[f11802]) ).
fof(f20628,plain,
! [X2,X0,X1] :
( aElementOf0(szmzizndt0(X1),X0)
| aElementOf0(szmzizndt0(X0),X2)
| aSubsetOf0(X2,X1)
| slcrc0 = X0
| slcrc0 = X1
| szmzizndt0(X0) = szmzizndt0(X1)
| aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2068,f742]) ).
fof(f20695,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xn))
| slcrc0 = X0
| slcrc0 = sdtlpdtrp0(xN,xm)
| szmzizndt0(X0) = szmzizndt0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(resolution,[],[f20628,f704]) ).
fof(f20788,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xn))
| slcrc0 = X0
| szmzizndt0(X0) = szmzizndt0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) )
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f20695,f897]) ).
fof(f20840,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xn))
| slcrc0 = X0
| szmzizndt0(X0) = szmzizndt0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(X0,szNzAzT0) )
| spl25_16
| spl25_17 ),
inference(forward_subsumption_resolution,[],[f20788,f901]) ).
fof(f20851,plain,
( ! [X0] :
( aElementOf0(xx,X0)
| aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xn))
| slcrc0 = X0
| szmzizndt0(X0) = szmzizndt0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(X0,szNzAzT0) )
| spl25_16
| spl25_17 ),
inference(forward_demodulation,[],[f20840,f471]) ).
fof(f20858,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xn))
| aElementOf0(xx,X0)
| szmzizndt0(X0) = xx
| slcrc0 = X0
| aSubsetOf0(X0,szNzAzT0) )
| spl25_16
| spl25_17 ),
inference(forward_demodulation,[],[f20851,f471]) ).
fof(f25988,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| aElementOf0(xx,xQ)
| xp = xx
| slcrc0 = xQ
| aSubsetOf0(xQ,szNzAzT0)
| spl25_16
| spl25_17 ),
inference(superposition,[],[f20858,f453]) ).
fof(f25990,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| aElementOf0(xx,xQ)
| xp = xx
| aSubsetOf0(xQ,szNzAzT0)
| spl25_16
| spl25_17 ),
inference(forward_subsumption_resolution,[],[f25988,f449]) ).
fof(f26009,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| aElementOf0(xx,xQ)
| xp = xx
| spl25_16
| spl25_17 ),
inference(forward_subsumption_resolution,[],[f25990,f689]) ).
fof(f26012,plain,
( spl25_474
| spl25_907
| spl25_197
| spl25_16
| spl25_17 ),
inference(avatar_split_clause,[],[f26009,f900,f896,f3420,f11802,f7016]) ).
fof(f32545,plain,
( ~ isCountable0(slcrc0)
| aElementOf0(xn,szNzAzT0)
| ~ spl25_195 ),
inference(superposition,[],[f662,f3414]) ).
fof(f32603,plain,
( aElementOf0(xn,szNzAzT0)
| ~ spl25_3
| ~ spl25_195 ),
inference(forward_subsumption_resolution,[],[f32545,f719]) ).
fof(f32700,plain,
( $false
| ~ spl25_3
| ~ spl25_195 ),
inference(forward_subsumption_resolution,[],[f32603,f697]) ).
fof(f32701,plain,
( ~ spl25_3
| ~ spl25_195 ),
inference(avatar_contradiction_clause,[],[f32700]) ).
fof(f32704,plain,
( aElementOf0(xn,szNzAzT0)
| ~ spl25_196 ),
inference(resolution,[],[f3418,f661]) ).
fof(f32710,plain,
( $false
| ~ spl25_196 ),
inference(forward_subsumption_resolution,[],[f32704,f697]) ).
fof(f32711,plain,
~ spl25_196,
inference(avatar_contradiction_clause,[],[f32710]) ).
fof(f32717,plain,
( aElementOf0(xx,xP)
| ~ spl25_13
| ~ spl25_474 ),
inference(superposition,[],[f863,f7017]) ).
fof(f32732,plain,
( $false
| ~ spl25_13
| ~ spl25_474 ),
inference(forward_subsumption_resolution,[],[f32717,f698]) ).
fof(f32733,plain,
( ~ spl25_13
| ~ spl25_474 ),
inference(avatar_contradiction_clause,[],[f32732]) ).
fof(f32784,plain,
( aElementOf0(xx,xP)
| spl25_12
| ~ spl25_907 ),
inference(resolution,[],[f11804,f1131]) ).
fof(f32789,plain,
( $false
| spl25_12
| ~ spl25_907 ),
inference(forward_subsumption_resolution,[],[f32784,f698]) ).
fof(f32790,plain,
( spl25_12
| ~ spl25_907 ),
inference(avatar_contradiction_clause,[],[f32789]) ).
cnf(s2,plain,
( ~ spl25_2
| spl25_3 ),
inference(sat_conversion,[],[f720]) ).
cnf(s3,plain,
spl25_2,
inference(sat_conversion,[],[f721]) ).
cnf(s9,plain,
( spl25_12
| spl25_13 ),
inference(sat_conversion,[],[f864]) ).
cnf(s17,plain,
~ spl25_12,
inference(sat_conversion,[],[f964]) ).
cnf(s172,plain,
( ~ spl25_3
| ~ spl25_16 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s173,plain,
~ spl25_17,
inference(sat_conversion,[],[f3085]) ).
cnf(s229,plain,
( spl25_195
| spl25_196
| ~ spl25_197 ),
inference(sat_conversion,[],[f3423]) ).
cnf(s2105,plain,
( spl25_16
| spl25_17
| spl25_197
| spl25_474
| spl25_907 ),
inference(sat_conversion,[],[f26012]) ).
cnf(s2769,plain,
( ~ spl25_3
| ~ spl25_195 ),
inference(sat_conversion,[],[f32701]) ).
cnf(s2770,plain,
~ spl25_196,
inference(sat_conversion,[],[f32711]) ).
cnf(s2772,plain,
( ~ spl25_13
| ~ spl25_474 ),
inference(sat_conversion,[],[f32733]) ).
cnf(s2779,plain,
( spl25_12
| ~ spl25_907 ),
inference(sat_conversion,[],[f32790]) ).
cnf(s2981,plain,
( spl25_195
| ~ spl25_197 ),
inference(rat,[],[s229,s2770]) ).
cnf(s3047,plain,
~ spl25_907,
inference(rat,[],[s2779,s17]) ).
cnf(s3053,plain,
spl25_13,
inference(rat,[],[s9,s17]) ).
cnf(s3054,plain,
~ spl25_474,
inference(rat,[],[s2772,s3053]) ).
cnf(s3109,plain,
spl25_3,
inference(rat,[],[s2,s3]) ).
cnf(s3110,plain,
~ spl25_195,
inference(rat,[],[s2769,s3109]) ).
cnf(s3111,plain,
~ spl25_16,
inference(rat,[],[s172,s3109]) ).
cnf(s3120,plain,
~ spl25_197,
inference(rat,[],[s2981,s3110]) ).
cnf(s3121,plain,
$false,
inference(rat,[],[s2105,s3047,s3054,s173,s3120,s3111]) ).
fof(f32792,plain,
$false,
inference(avatar_sat_refutation,[],[s3121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM621+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n010.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 20:47:47 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 6.64/1.48 % (1296506)Will run a generic schedule for satisfiability detection.
% 6.64/1.48 % (1296514)dis+10_1_sil=32000:sp=arity:random_seed=4258520963:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.64/1.48 % (1296512)% WARNING: option uhcvi not known.
% 6.64/1.48 % (1296513)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1621450205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.64/1.48 % (1296511)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1209593745_2999 on theBenchmark for (2999ds/0Mi)
% 6.64/1.48 % (1296512)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3081849076:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.64/1.48 % (1296517)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=90435297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.64/1.48 % (1296515)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=741507245:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.64/1.48 % (1296516)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3197846613:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.48 % TRYING [1]
% 6.64/1.48 % TRYING [2]
% 6.64/1.48 % (1296514)Instruction limit reached!
% 6.64/1.48 % (1296514)------------------------------
% 6.64/1.48 % (1296514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296514)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296514)Termination reason: Instruction limit
% 6.64/1.48 % (1296514)Termination phase: Saturation
% 6.64/1.48 % (1296514)Time elapsed: 0.039 s
% 6.64/1.48 % (1296514)Peak memory usage: 13 MB
% 6.64/1.48 % (1296514)Instructions burned: 105 (million)
% 6.64/1.48 % TRYING [3]
% 6.64/1.48 % (1296525)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3995234748:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.64/1.48 % TRYING [1]
% 6.64/1.48 % TRYING [2]
% 6.64/1.48 % TRYING [3]
% 6.64/1.48 % TRYING [4]
% 6.64/1.48 % TRYING [4]
% 6.64/1.48 % (1296515)Instruction limit reached!
% 6.64/1.48 % (1296515)------------------------------
% 6.64/1.48 % (1296515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296515)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296515)Termination reason: Instruction limit
% 6.64/1.48 % (1296515)Termination phase: Saturation
% 6.64/1.48 % (1296515)Time elapsed: 0.074 s
% 6.64/1.48 % (1296515)Peak memory usage: 13 MB
% 6.64/1.48 % (1296515)Instructions burned: 117 (million)
% 6.64/1.48 % (1296516)Instruction limit reached!
% 6.64/1.48 % (1296516)------------------------------
% 6.64/1.48 % (1296516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296516)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296516)Termination reason: Instruction limit
% 6.64/1.48 % (1296516)Termination phase: Saturation
% 6.64/1.48 % (1296516)Time elapsed: 0.079 s
% 6.64/1.48 % (1296516)Peak memory usage: 13 MB
% 6.64/1.48 % (1296516)Instructions burned: 132 (million)
% 6.64/1.48 % (1296527)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3671751917:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.64/1.48 % (1296528)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1773685731:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.64/1.48 % (1296517)Instruction limit reached!
% 6.64/1.48 % (1296517)------------------------------
% 6.64/1.48 % (1296517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296517)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296517)Termination reason: Instruction limit
% 6.64/1.48 % (1296517)Termination phase: Saturation
% 6.64/1.48 % (1296517)Time elapsed: 0.106 s
% 6.64/1.48 % (1296517)Peak memory usage: 15 MB
% 6.64/1.48 % (1296517)Instructions burned: 160 (million)
% 6.64/1.48 % TRYING [5]
% 6.64/1.48 % (1296531)ott-21_1_sil=16000:fs=off:random_seed=3436965510:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.64/1.48 % TRYING [5]
% 6.64/1.48 % (1296527)Instruction limit reached!
% 6.64/1.48 % (1296527)------------------------------
% 6.64/1.48 % (1296527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296527)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296527)Termination reason: Instruction limit
% 6.64/1.48 % (1296527)Termination phase: Saturation
% 6.64/1.48 % (1296527)Time elapsed: 0.085 s
% 6.64/1.48 % (1296527)Peak memory usage: 14 MB
% 6.64/1.48 % (1296527)Instructions burned: 134 (million)
% 6.64/1.48 % (1296525)Instruction limit reached!
% 6.64/1.48 % (1296525)------------------------------
% 6.64/1.48 % (1296525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296525)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296525)Termination reason: Instruction limit
% 6.64/1.48 % (1296525)Termination phase: Finite model building constraint generation
% 6.64/1.48 % (1296525)Time elapsed: 0.154 s
% 6.64/1.48 % (1296525)Peak memory usage: 35 MB
% 6.64/1.48 % (1296525)Instructions burned: 714 (million)
% 6.64/1.48 % (1296533)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1750414524:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.64/1.48 % (1296534)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=592800614:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.64/1.48 % TRYING [1]
% 6.64/1.48 % TRYING [2]
% 6.64/1.48 % (1296531)Instruction limit reached!
% 6.64/1.48 % (1296531)------------------------------
% 6.64/1.48 % (1296531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296531)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296531)Termination reason: Instruction limit
% 6.64/1.48 % (1296531)Termination phase: Saturation
% 6.64/1.48 % (1296531)Time elapsed: 0.102 s
% 6.64/1.48 % (1296531)Peak memory usage: 14 MB
% 6.64/1.48 % (1296531)Instructions burned: 180 (million)
% 6.64/1.48 % TRYING [3]
% 6.64/1.48 % (1296537)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1139248203:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.64/1.48 % TRYING [4]
% 6.64/1.48 % TRYING [6]
% 6.64/1.48 % (1296534)Instruction limit reached!
% 6.64/1.48 % (1296534)------------------------------
% 6.64/1.48 % (1296534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296534)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296534)Termination reason: Instruction limit
% 6.64/1.48 % (1296534)Termination phase: Finite model building SAT solving
% 6.64/1.48 % (1296534)Time elapsed: 0.190 s
% 6.64/1.48 % (1296534)Peak memory usage: 23 MB
% 6.64/1.48 % (1296534)Instructions burned: 869 (million)
% 6.64/1.48 % (1296539)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=41578784:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.64/1.48 % (1296528)Instruction limit reached!
% 6.64/1.48 % (1296528)------------------------------
% 6.64/1.48 % (1296528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296528)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296528)Termination reason: Instruction limit
% 6.64/1.48 % (1296528)Termination phase: Saturation
% 6.64/1.48 % (1296528)Time elapsed: 0.399 s
% 6.64/1.48 % (1296528)Peak memory usage: 19 MB
% 6.64/1.48 % (1296528)Instructions burned: 685 (million)
% 6.64/1.48 % (1296533)Instruction limit reached!
% 6.64/1.48 % (1296533)------------------------------
% 6.64/1.48 % (1296533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296533)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296533)Termination reason: Instruction limit
% 6.64/1.48 % (1296533)Termination phase: Saturation
% 6.64/1.48 % (1296533)Time elapsed: 0.316 s
% 6.64/1.48 % (1296533)Peak memory usage: 15 MB
% 6.64/1.48 % (1296533)Instructions burned: 478 (million)
% 6.64/1.48 % (1296541)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1749279030:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.64/1.48 % (1296543)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3686881774:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.64/1.48 % TRYING [14]
% 6.64/1.48 % (1296539)Instruction limit reached!
% 6.64/1.48 % (1296539)------------------------------
% 6.64/1.48 % (1296539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296539)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296539)Termination reason: Instruction limit
% 6.64/1.48 % (1296539)Termination phase: Finite model building constraint generation
% 6.64/1.48 % (1296539)Time elapsed: 0.222 s
% 6.64/1.48 % (1296539)Peak memory usage: 95 MB
% 6.64/1.48 % (1296539)Instructions burned: 892 (million)
% 6.64/1.48 % (1296545)fmb+10_1_sil=64000:random_seed=3737191402:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.64/1.48 % TRYING [1]
% 6.64/1.48 % TRYING [2]
% 6.64/1.48 % TRYING [3]
% 6.64/1.48 % TRYING [7]
% 6.64/1.48 % TRYING [4]
% 6.64/1.48 % TRYING [5]
% 6.64/1.48 % (1296541)Instruction limit reached!
% 6.64/1.48 % (1296541)------------------------------
% 6.64/1.48 % (1296541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296541)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296541)Termination reason: Instruction limit
% 6.64/1.48 % (1296541)Termination phase: Saturation
% 6.64/1.48 % (1296541)Time elapsed: 0.419 s
% 6.64/1.48 % (1296541)Peak memory usage: 21 MB
% 6.64/1.48 % (1296541)Instructions burned: 693 (million)
% 6.64/1.48 % (1296547)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3017484754:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.64/1.48 % (1296537)Instruction limit reached!
% 6.64/1.48 % (1296537)------------------------------
% 6.64/1.48 % (1296537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % TRYING [20]
% 6.64/1.48 % (1296537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296537)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296537)Termination reason: Instruction limit
% 6.64/1.48 % (1296537)Termination phase: Saturation
% 6.64/1.48 % (1296537)Time elapsed: 0.733 s
% 6.64/1.48 % (1296537)Peak memory usage: 26 MB
% 6.64/1.48 % (1296537)Instructions burned: 1179 (million)
% 6.64/1.48 % (1296549)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3741648693:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.64/1.48 % (1296512) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1296506-1296512"...
% 6.64/1.48 % (1296512)...printing done.
% 6.64/1.48 % (1296512)Refutation found. Thanks to Tanya!
% 6.64/1.48 % SZS status Theorem for theBenchmark
% 6.64/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 6.64/1.48 % (1296512)------------------------------
% 6.64/1.48 % (1296512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48 % (1296512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48 % (1296512)CaDiCaL version: 2.1.3
% 6.64/1.48 % (1296512)Termination reason: Refutation
% 6.64/1.48 % (1296512)Time elapsed: 1.010 s
% 6.64/1.48 % (1296512)Peak memory usage: 29 MB
% 6.64/1.48 % (1296512)Instructions burned: 1708 (million)
% 6.64/1.48 % (1296506)Success in time 1.057 s
% 6.64/1.48 % Vampire exiting
%------------------------------------------------------------------------------