%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM655^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Wed Sep 30 08:18:25 AM UTC 2026
% Result : Theorem 2.63s 0.82s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 61 unt; 0 typ; 5 def)
% Number of atoms : 818 ( 101 equ; 0 cnn)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 934 ( 53 ~; 71 |; 0 &; 712 @)
% ( 5 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 159 ( 155 usr; 12 con; 0-7 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 194 ( 0 sgn 17 !; 0 ?; 194 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
is_of: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
eps: ( $i > $o ) > $i ).
thf(func_def_4,type,
in: $i > $i > $o ).
thf(func_def_5,type,
d_Subq: $i > $i > $o ).
thf(func_def_7,type,
union: $i > $i ).
thf(func_def_8,type,
power: $i > $i ).
thf(func_def_9,type,
repl: $i > ( $i > $i ) > $i ).
thf(func_def_10,type,
d_Union_closed: $i > $o ).
thf(func_def_11,type,
d_Power_closed: $i > $o ).
thf(func_def_12,type,
d_Repl_closed: $i > $o ).
thf(func_def_13,type,
d_ZF_closed: $i > $o ).
thf(func_def_14,type,
univof: $i > $i ).
thf(func_def_15,type,
if: $o > $i > $i > $i ).
thf(func_def_16,type,
nIn: $i > $i > $o ).
thf(func_def_17,type,
d_UPair: $i > $i > $i ).
thf(func_def_18,type,
d_Sing: $i > $i ).
thf(func_def_19,type,
binunion: $i > $i > $i ).
thf(func_def_20,type,
famunion: $i > ( $i > $i ) > $i ).
thf(func_def_21,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_23,type,
setminus: $i > $i > $i ).
thf(func_def_24,type,
d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).
thf(func_def_25,type,
d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).
thf(func_def_26,type,
ordsucc: $i > $i ).
thf(func_def_27,type,
nat_p: $i > $o ).
thf(func_def_29,type,
d_Inj1: $i > $i ).
thf(func_def_30,type,
d_Inj0: $i > $i ).
thf(func_def_31,type,
d_Unj: $i > $i ).
thf(func_def_32,type,
pair: $i > $i > $i ).
thf(func_def_33,type,
proj0: $i > $i ).
thf(func_def_34,type,
proj1: $i > $i ).
thf(func_def_35,type,
d_Sigma: $i > ( $i > $i ) > $i ).
thf(func_def_36,type,
setprod: $i > $i > $i ).
thf(func_def_37,type,
ap: $i > $i > $i ).
thf(func_def_38,type,
pair_p: $i > $o ).
thf(func_def_39,type,
d_Pi: $i > ( $i > $i ) > $i ).
thf(func_def_40,type,
imp: $o > $o > $o ).
thf(func_def_41,type,
d_not: $o > $o ).
thf(func_def_42,type,
wel: $o > $o ).
thf(func_def_43,type,
obvious: $o ).
thf(func_def_44,type,
l_ec: $o > $o > $o ).
thf(func_def_45,type,
d_and: $o > $o > $o ).
thf(func_def_46,type,
l_or: $o > $o > $o ).
thf(func_def_47,type,
orec: $o > $o > $o ).
thf(func_def_48,type,
l_iff: $o > $o > $o ).
thf(func_def_49,type,
all: $i > ( $i > $o ) > $o ).
thf(func_def_50,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(func_def_51,type,
l_some: $i > ( $i > $o ) > $o ).
thf(func_def_52,type,
or3: $o > $o > $o > $o ).
thf(func_def_53,type,
and3: $o > $o > $o > $o ).
thf(func_def_54,type,
ec3: $o > $o > $o > $o ).
thf(func_def_55,type,
orec3: $o > $o > $o > $o ).
thf(func_def_56,type,
e_is: $i > $i > $i > $o ).
thf(func_def_57,type,
amone: $i > ( $i > $o ) > $o ).
thf(func_def_58,type,
one: $i > ( $i > $o ) > $o ).
thf(func_def_59,type,
ind: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
injective: $i > $i > $i > $o ).
thf(func_def_61,type,
image: $i > $i > $i > $i > $o ).
thf(func_def_62,type,
tofs: $i > $i > $i > $i > $i ).
thf(func_def_63,type,
soft: $i > $i > $i > $i > $i ).
thf(func_def_64,type,
inverse: $i > $i > $i > $i ).
thf(func_def_65,type,
surjective: $i > $i > $i > $o ).
thf(func_def_66,type,
bijective: $i > $i > $i > $o ).
thf(func_def_67,type,
invf: $i > $i > $i > $i ).
thf(func_def_68,type,
inj_h: $i > $i > $i > $i > $i > $i ).
thf(func_def_69,type,
e_in: $i > ( $i > $o ) > $i > $i ).
thf(func_def_70,type,
out: $i > ( $i > $o ) > $i > $i ).
thf(func_def_71,type,
d_pair: $i > $i > $i > $i > $i ).
thf(func_def_72,type,
first: $i > $i > $i > $i ).
thf(func_def_73,type,
second: $i > $i > $i > $i ).
thf(func_def_74,type,
prop1: $o > $i > $i > $i > $i > $o ).
thf(func_def_75,type,
ite: $o > $i > $i > $i > $i ).
thf(func_def_76,type,
wissel_wa: $i > $i > $i > $i > $i ).
thf(func_def_77,type,
wissel_wb: $i > $i > $i > $i > $i ).
thf(func_def_78,type,
wissel: $i > $i > $i > $i ).
thf(func_def_79,type,
changef: $i > $i > $i > $i > $i > $i ).
thf(func_def_80,type,
r_ec: $o > $o > $o ).
thf(func_def_81,type,
esti: $i > $i > $i > $o ).
thf(func_def_82,type,
empty: $i > $i > $o ).
thf(func_def_83,type,
nonempty: $i > $i > $o ).
thf(func_def_84,type,
incl: $i > $i > $i > $o ).
thf(func_def_85,type,
st_disj: $i > $i > $i > $o ).
thf(func_def_86,type,
nissetprop: $i > $i > $i > $i > $o ).
thf(func_def_87,type,
unmore: $i > $i > $i > $i ).
thf(func_def_88,type,
ecelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_89,type,
ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_90,type,
anec: $i > ( $i > $i > $o ) > $i > $o ).
thf(func_def_91,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
ectset: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_93,type,
ectelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_94,type,
ecect: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_95,type,
fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_96,type,
d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).
thf(func_def_97,type,
prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).
thf(func_def_98,type,
indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_99,type,
fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_100,type,
d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_101,type,
indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).
thf(func_def_103,type,
n_is: $i > $i > $o ).
thf(func_def_104,type,
nis: $i > $i > $o ).
thf(func_def_105,type,
n_in: $i > $i > $o ).
thf(func_def_106,type,
n_some: ( $i > $o ) > $o ).
thf(func_def_107,type,
n_all: ( $i > $o ) > $o ).
thf(func_def_108,type,
n_one: ( $i > $o ) > $o ).
thf(func_def_110,type,
cond1: $i > $o ).
thf(func_def_111,type,
cond2: $i > $o ).
thf(func_def_112,type,
i1_s: ( $i > $o ) > $i ).
thf(func_def_113,type,
d_22_prop1: $i > $o ).
thf(func_def_114,type,
d_23_prop1: $i > $o ).
thf(func_def_115,type,
d_24_prop1: $i > $o ).
thf(func_def_116,type,
d_24_prop2: $i > $i > $o ).
thf(func_def_117,type,
prop3: $i > $i > $i > $o ).
thf(func_def_118,type,
prop4: $i > $o ).
thf(func_def_119,type,
d_24_g: $i > $i ).
thf(func_def_120,type,
plus: $i > $i ).
thf(func_def_121,type,
n_pl: $i > $i > $i ).
thf(func_def_122,type,
d_25_prop1: $i > $i > $i > $o ).
thf(func_def_123,type,
d_26_prop1: $i > $i > $o ).
thf(func_def_124,type,
d_27_prop1: $i > $i > $o ).
thf(func_def_125,type,
d_28_prop1: $i > $i > $i > $o ).
thf(func_def_126,type,
diffprop: $i > $i > $i > $o ).
thf(func_def_127,type,
d_29_ii: $i > $i > $o ).
thf(func_def_128,type,
iii: $i > $i > $o ).
thf(func_def_129,type,
d_29_prop1: $i > $i > $o ).
thf(func_def_130,type,
moreis: $i > $i > $o ).
thf(func_def_131,type,
lessis: $i > $i > $o ).
thf(func_def_132,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_136,type,
vIMP: $o > $o > $o ).
thf(func_def_139,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_142,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_143,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_144,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vAND: $o > $o > $o ).
thf(func_def_146,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vNOT: $o > $o ).
thf(func_def_149,type,
vOR: $o > $o > $o ).
thf(func_def_150,type,
sK0: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_151,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_152,type,
sK2: $i > $i > $i > $i > $i ).
thf(f2,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f74,axiom,
( imp
= ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_imp) ).
thf(f81,axiom,
( ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) )
= l_or ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f206,axiom,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii) ).
thf(f216,axiom,
( ( ^ [X0: $i,X1: $i] : ( l_or @ ( d_29_ii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )
= moreis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis) ).
thf(f217,axiom,
( lessis
= ( ^ [X0: $i,X1: $i] : ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis) ).
thf(f222,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( d_29_ii @ X0 @ X1 ) )
=> ( lessis @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10e) ).
thf(f223,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( iii @ X0 @ X1 ) )
=> ( moreis @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10f) ).
thf(f224,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( iii @ X0 @ X1 ) )
=> ( moreis @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f223]) ).
thf(f304,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( d_not @ ( iii @ X1 @ X3 ) )
=> ( moreis @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f224]) ).
thf(f305,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( iii @ Y0 @ Y1 ) )
=> ( moreis @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f304]) ).
thf(f347,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f348,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f347]) ).
thf(f366,plain,
( imp
= ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) ) ),
inference(rectify,[],[f74]) ).
thf(f367,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(fool_elimination,[],[f366]) ).
thf(f434,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f458,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( iii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f217]) ).
thf(f502,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( d_not @ ( d_29_ii @ X1 @ X3 ) )
=> ( lessis @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f222]) ).
thf(f503,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( lessis @ Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f502]) ).
thf(f518,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( d_29_ii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f216]) ).
thf(f570,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f578,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( iii @ Y0 @ Y1 ) )
=> ( moreis @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(flattening,[],[f305]) ).
thf(f594,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( lessis @ Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f503]) ).
thf(f595,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(cnf_transformation,[],[f367]) ).
thf(f598,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f348]) ).
thf(f603,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( iii @ Y0 @ Y1 ) )
=> ( moreis @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f578]) ).
thf(f606,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f434]) ).
thf(f609,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( d_29_ii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f518]) ).
thf(f610,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f620,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f570]) ).
thf(f647,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( iii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f458]) ).
thf(f653,plain,
( l_or
= ( ^ [Y0: $o] :
( ^ [Y1: $o,Y2: $o] :
( Y1
=> Y2 )
@ ( d_not @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f620,f595]) ).
thf(f654,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ ( d_not @ Y2 ) )
@ ( d_29_ii @ Y0 @ Y1 )
@ ( e_is @ nat @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f609,f653,f610]) ).
thf(f655,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ ( d_not @ Y2 ) )
@ ( ^ [Y2: $i,Y3: $i] : ( n_some @ ( diffprop @ Y3 @ Y2 ) )
@ Y0
@ Y1 )
@ ( e_is @ nat @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f647,f653,f606,f610]) ).
thf(f660,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ ( d_not @ Y4 ) )
@ ( ^ [Y4: $i,Y5: $i] : ( n_some @ ( diffprop @ Y5 @ Y4 ) )
@ Y2
@ Y3 )
@ ( e_is @ nat @ Y2 @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f594,f598,f598,f655]) ).
thf(f664,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not
@ ( ^ [Y2: $i,Y3: $i] : ( n_some @ ( diffprop @ Y3 @ Y2 ) )
@ Y0
@ Y1 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ ( d_not @ Y4 ) )
@ ( d_29_ii @ Y2 @ Y3 )
@ ( e_is @ nat @ Y2 @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f603,f598,f598,f606,f654]) ).
thf(f863,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y1 @ Y0 ) ) )
=> ( e_is @ nat @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f660]) ).
thf(f864,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y1 @ Y0 ) ) )
=> ( e_is @ nat @ Y0 @ Y1 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f863]) ).
thf(f865,plain,
! [X1: $i] :
( ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ X1 @ Y0 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f864]) ).
thf(f866,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ X1 @ Y0 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ Y0 ) ) ) ) ) )
| ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f865]) ).
thf(f867,plain,
! [X2: $i,X1: $i] :
( ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ X1 @ Y0 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ Y0 ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f866]) ).
thf(f868,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
=> ( ( d_not @ ( d_29_ii @ X1 @ X2 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ X2 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ X2 ) ) ) ) )
| ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false ) ),
inference(beta-eta_normalization,[],[f867]) ).
thf(f869,plain,
! [X2: $i,X1: $i] :
( ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( $true
= ( ( d_not @ ( d_29_ii @ X1 @ X2 ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ X2 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ X2 ) ) ) )
| ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f868]) ).
thf(f870,plain,
! [X2: $i,X1: $i] :
( ( ( d_not @ ( d_29_ii @ X1 @ X2 ) )
= $false )
| ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( ( d_not @ ( n_some @ ( diffprop @ X2 @ X1 ) ) )
=> ( e_is @ nat @ X1 @ X2 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f869]) ).
thf(f871,plain,
! [X2: $i,X1: $i] :
( ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( d_not @ ( n_some @ ( diffprop @ X2 @ X1 ) ) )
= $false )
| ( $true
= ( e_is @ nat @ X1 @ X2 ) )
| ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( d_not @ ( d_29_ii @ X1 @ X2 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f870]) ).
thf(f931,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y1 @ Y0 ) ) )
=> ( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( e_is @ nat @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f664]) ).
thf(f932,plain,
( ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y1 @ Y0 ) ) )
=> ( ( d_not @ ( d_29_ii @ Y0 @ Y1 ) )
=> ( e_is @ nat @ Y0 @ Y1 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f931]) ).
thf(f933,plain,
( $false
= ( ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ sK3 ) ) )
=> ( ( d_not @ ( d_29_ii @ sK3 @ Y0 ) )
=> ( e_is @ nat @ sK3 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f932]) ).
thf(f934,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ sK3 ) ) )
=> ( ( d_not @ ( d_29_ii @ sK3 @ Y0 ) )
=> ( e_is @ nat @ sK3 @ Y0 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f933]) ).
thf(f935,plain,
( $true
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
inference(imp_proxy_clausification,[],[f933]) ).
thf(f936,plain,
( $false
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ Y0 @ sK3 ) ) )
=> ( ( d_not @ ( d_29_ii @ sK3 @ Y0 ) )
=> ( e_is @ nat @ sK3 @ Y0 ) ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f934]) ).
thf(f937,plain,
( ( ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
=> ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
=> ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
=> ( e_is @ nat @ sK3 @ sK4 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f936]) ).
thf(f938,plain,
( ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
=> ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
=> ( e_is @ nat @ sK3 @ sK4 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f937]) ).
thf(f939,plain,
( $true
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
inference(imp_proxy_clausification,[],[f937]) ).
thf(f940,plain,
( ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
=> ( e_is @ nat @ sK3 @ sK4 ) )
= $false ),
inference(imp_proxy_clausification,[],[f938]) ).
thf(f941,plain,
( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f938]) ).
thf(f942,plain,
( $false
= ( e_is @ nat @ sK3 @ sK4 ) ),
inference(imp_proxy_clausification,[],[f940]) ).
thf(f943,plain,
( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
= $true ),
inference(imp_proxy_clausification,[],[f940]) ).
thf(f961,definition,
( spl5_2
<=> ( $true
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
thf(f963,plain,
( ( $true
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f961]) ).
thf(f964,plain,
spl5_2,
inference(avatar_split_clause,[],[f935,f961]) ).
thf(f966,definition,
( spl5_3
<=> ( $true
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
thf(f968,plain,
( ( $true
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f966]) ).
thf(f969,plain,
spl5_3,
inference(avatar_split_clause,[],[f939,f966]) ).
thf(f971,definition,
( spl5_4
<=> ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
thf(f973,plain,
( ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $true )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f971]) ).
thf(f974,plain,
spl5_4,
inference(avatar_split_clause,[],[f941,f971]) ).
thf(f976,definition,
( spl5_5
<=> ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
thf(f978,plain,
( ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
= $true )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f976]) ).
thf(f979,plain,
spl5_5,
inference(avatar_split_clause,[],[f943,f976]) ).
thf(f981,definition,
( spl5_6
<=> ( $false
= ( e_is @ nat @ sK3 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
thf(f983,plain,
( ( $false
= ( e_is @ nat @ sK3 @ sK4 ) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f981]) ).
thf(f984,plain,
spl5_6,
inference(avatar_split_clause,[],[f942,f981]) ).
thf(f1307,plain,
( ! [X0: $i] :
( ( ( d_not @ ( d_29_ii @ X0 @ sK4 ) )
= $false )
| ( $false
= ( d_not @ ( n_some @ ( diffprop @ sK4 @ X0 ) ) ) )
| ( ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( $true = $false )
| ( $true
= ( e_is @ nat @ X0 @ sK4 ) ) )
| ~ spl5_3 ),
inference(superposition,[],[f968,f871]) ).
thf(f1310,plain,
( ! [X0: $i] :
( ( ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
= $false )
| ( ( d_not @ ( d_29_ii @ X0 @ sK4 ) )
= $false )
| ( $true
= ( e_is @ nat @ X0 @ sK4 ) )
| ( $false
= ( d_not @ ( n_some @ ( diffprop @ sK4 @ X0 ) ) ) ) )
| ~ spl5_3 ),
inference(trivial_inequality_removal,[],[f1307]) ).
thf(f1580,plain,
( ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
= $false )
| ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ( $true = $false )
| ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $false )
| ~ spl5_2
| ~ spl5_3 ),
inference(superposition,[],[f1310,f963]) ).
thf(f1588,plain,
( ( ( d_not @ ( d_29_ii @ sK3 @ sK4 ) )
= $false )
| ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $false )
| ~ spl5_2
| ~ spl5_3 ),
inference(trivial_inequality_removal,[],[f1580]) ).
thf(f1593,plain,
( ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $false )
| ( $true = $false )
| ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_5 ),
inference(forward_demodulation,[],[f1588,f978]) ).
thf(f1594,plain,
( ( ( d_not @ ( n_some @ ( diffprop @ sK4 @ sK3 ) ) )
= $false )
| ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f1593]) ).
thf(f1600,plain,
( ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5 ),
inference(forward_demodulation,[],[f1594,f973]) ).
thf(f1601,plain,
( ( $true
= ( e_is @ nat @ sK3 @ sK4 ) )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f1600]) ).
thf(f1608,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f1601,f983]) ).
thf(f1609,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f1608]) ).
thf(f1610,plain,
( ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f964]) ).
cnf(s3,plain,
spl5_3,
inference(sat_conversion,[],[f969]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f974]) ).
cnf(s5,plain,
spl5_5,
inference(sat_conversion,[],[f979]) ).
cnf(s6,plain,
spl5_6,
inference(sat_conversion,[],[f984]) ).
cnf(s58,plain,
( ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s61,plain,
~ spl5_2,
inference(rat,[],[s58,s6,s5,s4,s3]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s2,s61]) ).
thf(f1617,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM655^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n013.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 12:31:51 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.32 Running higher-order theorem proving
% 0.31/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.57 % (2033086)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.57 % (2033091)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=466002252:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.57 % (2033093)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1684031449:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.57 % (2033095)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1490760258:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.57 % (2033094)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2490515753:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.76/0.57 % (2033096)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2148594058:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.57 % (2033092)lrs+10_16_si=on:nwc=1.5:random_seed=68707921:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.57 % (2033091)Instruction limit reached!
% 0.76/0.57 % (2033091)------------------------------
% 0.76/0.57 % (2033091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (2033091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (2033091)CaDiCaL version: 2.1.3
% 0.76/0.57 % (2033091)Termination reason: Instruction limit
% 0.76/0.57 % (2033091)Termination phase: Function definition elimination
% 0.76/0.57 % (2033091)Time elapsed: 0.021 s
% 0.76/0.57 % (2033091)Peak memory usage: 11 MB
% 0.76/0.57 % (2033091)Instructions burned: 90 (million)
% 0.76/0.57 % (2033093)Instruction limit reached!
% 0.76/0.57 % (2033093)------------------------------
% 0.76/0.57 % (2033093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (2033093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (2033093)CaDiCaL version: 2.1.3
% 0.76/0.57 % (2033093)Termination reason: Instruction limit
% 0.76/0.57 % (2033093)Termination phase: shuffling
% 0.76/0.57 % (2033093)Time elapsed: 0.003 s
% 0.76/0.57 % (2033093)Peak memory usage: 10 MB
% 0.76/0.57 % (2033093)Instructions burned: 3 (million)
% 0.76/0.57 % (2033097)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.57 % (2033097)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.57 % (2033097)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=338004000:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.57 % (2033104)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1137872324:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.57 % (2033092)Instruction limit reached!
% 0.76/0.57 % (2033092)------------------------------
% 0.76/0.57 % (2033092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (2033092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (2033092)CaDiCaL version: 2.1.3
% 0.76/0.57 % (2033092)Termination reason: Instruction limit
% 0.76/0.57 % (2033092)Termination phase: shuffling
% 0.76/0.57 % (2033092)Time elapsed: 0.015 s
% 0.76/0.57 % (2033092)Peak memory usage: 10 MB
% 0.76/0.57 % (2033092)Instructions burned: 19 (million)
% 0.76/0.57 % (2033104)Instruction limit reached!
% 0.76/0.57 % (2033104)------------------------------
% 0.76/0.57 % (2033104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (2033104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (2033104)CaDiCaL version: 2.1.3
% 0.76/0.57 % (2033104)Termination reason: Instruction limit
% 0.76/0.57 % (2033104)Termination phase: shuffling
% 0.76/0.57 % (2033104)Time elapsed: 0.001 s
% 0.76/0.57 % (2033104)Peak memory usage: 10 MB
% 0.76/0.57 % (2033104)Instructions burned: 5 (million)
% 0.76/0.57 % (2033095)Instruction limit reached!
% 0.76/0.57 % (2033095)------------------------------
% 0.76/0.57 % (2033095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.62 % (2033095)CaDiCaL version: 2.1.3
% 1.47/0.62 % (2033095)Termination reason: Instruction limit
% 1.47/0.62 % (2033095)Termination phase: Property scanning
% 1.47/0.62 % (2033095)Time elapsed: 0.020 s
% 1.47/0.62 % (2033095)Peak memory usage: 10 MB
% 1.47/0.62 % (2033095)Instructions burned: 24 (million)
% 1.47/0.62 % (2033110)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.47/0.62 % (2033110)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.47/0.62 % (2033110)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2302950059:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.47/0.62 % (2033105)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3617123210:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.47/0.62 % (2033108)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.47/0.62 % (2033105)Instruction limit reached!
% 1.47/0.62 % (2033105)------------------------------
% 1.47/0.62 % (2033105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.62 % (2033105)CaDiCaL version: 2.1.3
% 1.47/0.62 % (2033105)Termination reason: Instruction limit
% 1.47/0.62 % (2033105)Termination phase: shuffling
% 1.47/0.62 % (2033105)Time elapsed: 0.004 s
% 1.47/0.62 % (2033105)Peak memory usage: 10 MB
% 1.47/0.62 % (2033105)Instructions burned: 5 (million)
% 1.47/0.62 % (2033110)Instruction limit reached!
% 1.47/0.62 % (2033110)------------------------------
% 1.47/0.62 % (2033110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.62 % (2033110)CaDiCaL version: 2.1.3
% 1.47/0.62 % (2033110)Termination reason: Instruction limit
% 1.47/0.62 % (2033110)Termination phase: Property scanning
% 1.47/0.62 % (2033110)Time elapsed: 0.008 s
% 1.47/0.62 % (2033110)Peak memory usage: 10 MB
% 1.47/0.62 % (2033110)Instructions burned: 32 (million)
% 1.47/0.62 % (2033108)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4178820182:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.47/0.62 % (2033109)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=400912738:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.47/0.62 % (2033108)Instruction limit reached!
% 1.47/0.62 % (2033108)------------------------------
% 1.47/0.62 % (2033108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.62 % (2033108)CaDiCaL version: 2.1.3
% 1.47/0.62 % (2033108)Termination reason: Instruction limit
% 1.47/0.62 % (2033108)Termination phase: shuffling
% 1.47/0.62 % (2033108)Time elapsed: 0.006 s
% 1.47/0.62 % (2033108)Peak memory usage: 9 MB
% 1.47/0.62 % (2033108)Instructions burned: 7 (million)
% 1.47/0.62 % (2033114)lrs+10_1_si=on:cs=on:random_seed=1099243606:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.47/0.62 % (2033109)Instruction limit reached!
% 1.47/0.62 % (2033109)------------------------------
% 1.47/0.62 % (2033109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.62 % (2033109)CaDiCaL version: 2.1.3
% 1.47/0.62 % (2033109)Termination reason: Instruction limit
% 1.47/0.62 % (2033109)Termination phase: shuffling
% 1.47/0.62 % (2033109)Time elapsed: 0.011 s
% 1.47/0.62 % (2033109)Peak memory usage: 10 MB
% 1.47/0.62 % (2033109)Instructions burned: 12 (million)
% 1.47/0.62 % (2033096)Instruction limit reached!
% 1.47/0.62 % (2033096)------------------------------
% 1.47/0.62 % (2033096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.62 % (2033096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033096)CaDiCaL version: 2.1.3
% 1.74/0.66 % (2033096)Termination reason: Instruction limit
% 1.74/0.66 % (2033096)Termination phase: Function definition elimination
% 1.74/0.66 % (2033096)Time elapsed: 0.058 s
% 1.74/0.66 % (2033096)Peak memory usage: 11 MB
% 1.74/0.66 % (2033096)Instructions burned: 76 (million)
% 1.74/0.66 % (2033114)Instruction limit reached!
% 1.74/0.66 % (2033114)------------------------------
% 1.74/0.66 % (2033114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.66 % (2033114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033114)CaDiCaL version: 2.1.3
% 1.74/0.66 % (2033114)Termination reason: Instruction limit
% 1.74/0.66 % (2033114)Termination phase: shuffling
% 1.74/0.66 % (2033114)Time elapsed: 0.004 s
% 1.74/0.66 % (2033114)Peak memory usage: 10 MB
% 1.74/0.66 % (2033114)Instructions burned: 9 (million)
% 1.74/0.66 % (2033113)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2948246499:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.74/0.66 % (2033117)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.74/0.66 % (2033117)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3138037195:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.74/0.66 % (2033117)Instruction limit reached!
% 1.74/0.66 % (2033117)------------------------------
% 1.74/0.66 % (2033117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.66 % (2033117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033117)CaDiCaL version: 2.1.3
% 1.74/0.66 % (2033117)Termination reason: Instruction limit
% 1.74/0.66 % (2033117)Termination phase: shuffling
% 1.74/0.66 % (2033117)Time elapsed: 0.001 s
% 1.74/0.66 % (2033117)Peak memory usage: 10 MB
% 1.74/0.66 % (2033117)Instructions burned: 2 (million)
% 1.74/0.66 % (2033120)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2939635120:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.74/0.66 % (2033119)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1047666633:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.74/0.66 % (2033121)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=200104858:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.74/0.66 % (2033124)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2213479239:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.74/0.66 % (2033120)Refutation not found, incomplete strategy
% 1.74/0.66 % (2033120)------------------------------
% 1.74/0.66 % (2033120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.66 % (2033120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033120)CaDiCaL version: 2.1.3
% 1.74/0.66 % (2033120)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.66 % (2033120)Time elapsed: 0.019 s
% 1.74/0.66 % (2033120)Peak memory usage: 13 MB
% 1.74/0.66 % (2033120)Instructions burned: 44 (million)
% 1.74/0.66 % (2033120)------------------------------
% 1.74/0.66 % (2033120)------------------------------
% 1.74/0.66 % (2033124)Instruction limit reached!
% 1.74/0.66 % (2033124)------------------------------
% 1.74/0.66 % (2033124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.66 % (2033124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033124)CaDiCaL version: 2.1.3
% 1.74/0.66 % (2033124)Termination reason: Instruction limit
% 1.74/0.66 % (2033124)Termination phase: shuffling
% 1.74/0.66 % (2033124)Time elapsed: 0.008 s
% 1.74/0.66 % (2033124)Peak memory usage: 10 MB
% 1.74/0.66 % (2033124)Instructions burned: 16 (million)
% 1.74/0.66 % (2033121)Instruction limit reached!
% 1.74/0.66 % (2033121)------------------------------
% 1.74/0.66 % (2033121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.66 % (2033121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.66 % (2033121)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033121)Termination reason: Instruction limit
% 2.17/0.73 % (2033121)Termination phase: Property scanning
% 2.17/0.73 % (2033121)Time elapsed: 0.021 s
% 2.17/0.73 % (2033121)Peak memory usage: 10 MB
% 2.17/0.73 % (2033121)Instructions burned: 25 (million)
% 2.17/0.73 % (2033129)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1757301507:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.17/0.73 % (2033097)Instruction limit reached!
% 2.17/0.73 % (2033097)------------------------------
% 2.17/0.73 % (2033097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.73 % (2033097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.73 % (2033097)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033097)Termination reason: Instruction limit
% 2.17/0.73 % (2033097)Termination phase: Function definition elimination
% 2.17/0.73 % (2033097)Time elapsed: 0.106 s
% 2.17/0.73 % (2033097)Peak memory usage: 11 MB
% 2.17/0.73 % (2033097)Instructions burned: 158 (million)
% 2.17/0.73 % (2033119)Instruction limit reached!
% 2.17/0.73 % (2033119)------------------------------
% 2.17/0.73 % (2033119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.73 % (2033119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.73 % (2033119)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033119)Termination reason: Instruction limit
% 2.17/0.73 % (2033119)Termination phase: Property scanning
% 2.17/0.73 % (2033119)Time elapsed: 0.032 s
% 2.17/0.73 % (2033119)Peak memory usage: 11 MB
% 2.17/0.73 % (2033119)Instructions burned: 38 (million)
% 2.17/0.73 % (2033113)Instruction limit reached!
% 2.17/0.73 % (2033113)------------------------------
% 2.17/0.73 % (2033113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.73 % (2033113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.73 % (2033113)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033113)Termination reason: Instruction limit
% 2.17/0.73 % (2033113)Termination phase: Function definition elimination
% 2.17/0.73 % (2033113)Time elapsed: 0.062 s
% 2.17/0.73 % (2033113)Peak memory usage: 10 MB
% 2.17/0.73 % (2033113)Instructions burned: 86 (million)
% 2.17/0.73 % (2033130)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3779341532:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.17/0.73 % (2033130)Instruction limit reached!
% 2.17/0.73 % (2033130)------------------------------
% 2.17/0.73 % (2033130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.73 % (2033130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.73 % (2033130)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033130)Termination reason: Instruction limit
% 2.17/0.73 % (2033130)Termination phase: shuffling
% 2.17/0.73 % (2033130)Time elapsed: 0.013 s
% 2.17/0.73 % (2033130)Peak memory usage: 10 MB
% 2.17/0.73 % (2033130)Instructions burned: 15 (million)
% 2.17/0.73 % (2033132)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=794618938:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.17/0.73 % (2033132)Instruction limit reached!
% 2.17/0.73 % (2033132)------------------------------
% 2.17/0.73 % (2033132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.73 % (2033132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.73 % (2033132)CaDiCaL version: 2.1.3
% 2.17/0.73 % (2033132)Termination reason: Instruction limit
% 2.17/0.73 % (2033132)Termination phase: shuffling
% 2.17/0.73 % (2033132)Time elapsed: 0.003 s
% 2.17/0.73 % (2033132)Peak memory usage: 10 MB
% 2.17/0.73 % (2033132)Instructions burned: 3 (million)
% 2.17/0.73 % (2033133)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2779872467:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.17/0.73 % (2033134)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1969724933:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.17/0.73 % (2033135)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1491423932:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.17/0.73 % (2033138)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.63/0.81 % (2033138)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.63/0.81 % (2033138)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2972545099:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.63/0.81 % (2033133)Instruction limit reached!
% 2.63/0.81 % (2033133)------------------------------
% 2.63/0.81 % (2033133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.81 % (2033133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.81 % (2033133)CaDiCaL version: 2.1.3
% 2.63/0.81 % (2033133)Termination reason: Instruction limit
% 2.63/0.81 % (2033133)Termination phase: Property scanning
% 2.63/0.81 % (2033133)Time elapsed: 0.022 s
% 2.63/0.81 % (2033133)Peak memory usage: 10 MB
% 2.63/0.81 % (2033133)Instructions burned: 26 (million)
% 2.63/0.81 % (2033134)Instruction limit reached!
% 2.63/0.81 % (2033134)------------------------------
% 2.63/0.81 % (2033134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.81 % (2033134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.81 % (2033134)CaDiCaL version: 2.1.3
% 2.63/0.81 % (2033134)Termination reason: Instruction limit
% 2.63/0.81 % (2033134)Termination phase: Property scanning
% 2.63/0.81 % (2033134)Time elapsed: 0.019 s
% 2.63/0.81 % (2033134)Peak memory usage: 10 MB
% 2.63/0.81 % (2033134)Instructions burned: 23 (million)
% 2.63/0.81 % (2033138)Instruction limit reached!
% 2.63/0.81 % (2033138)------------------------------
% 2.63/0.81 % (2033138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.81 % (2033138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.81 % (2033138)CaDiCaL version: 2.1.3
% 2.63/0.81 % (2033138)Termination reason: Instruction limit
% 2.63/0.81 % (2033138)Termination phase: shuffling
% 2.63/0.81 % (2033138)Time elapsed: 0.007 s
% 2.63/0.81 % (2033138)Peak memory usage: 10 MB
% 2.63/0.81 % (2033138)Instructions burned: 15 (million)
% 2.63/0.81 % (2033140)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.63/0.81 % (2033140)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4246536998:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.63/0.81 % (2033140)Instruction limit reached!
% 2.63/0.81 % (2033140)------------------------------
% 2.63/0.81 % (2033140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.81 % (2033140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.81 % (2033140)CaDiCaL version: 2.1.3
% 2.63/0.81 % (2033140)Termination reason: Instruction limit
% 2.63/0.81 % (2033140)Termination phase: shuffling
% 2.63/0.81 % (2033140)Time elapsed: 0.007 s
% 2.63/0.81 % (2033140)Peak memory usage: 10 MB
% 2.63/0.81 % (2033140)Instructions burned: 8 (million)
% 2.63/0.81 % (2033145)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3132467286:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.63/0.81 % (2033144)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4218028711:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.63/0.81 % (2033146)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=369381606:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.63/0.81 % (2033145)Instruction limit reached!
% 2.63/0.81 % (2033145)------------------------------
% 2.63/0.81 % (2033145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.81 % (2033145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.81 % (2033145)CaDiCaL version: 2.1.3
% 2.63/0.81 % (2033145)Termination reason: Instruction limit
% 2.63/0.81 % (2033145)Termination phase: shuffling
% 2.63/0.81 % (2033145)Time elapsed: 0.006 s
% 2.63/0.81 % (2033145)Peak memory usage: 10 MB
% 2.63/0.81 % (2033145)Instructions burned: 7 (million)
% 2.63/0.81 % (2033148)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1782019487:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.63/0.82 % (2033135)Instruction limit reached!
% 2.63/0.82 % (2033135)------------------------------
% 2.63/0.82 % (2033135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033135)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033135)Termination reason: Instruction limit
% 2.63/0.82 % (2033135)Termination phase: Property scanning
% 2.63/0.82 % (2033135)Time elapsed: 0.050 s
% 2.63/0.82 % (2033135)Peak memory usage: 11 MB
% 2.63/0.82 % (2033135)Instructions burned: 60 (million)
% 2.63/0.82 % (2033148)Instruction limit reached!
% 2.63/0.82 % (2033148)------------------------------
% 2.63/0.82 % (2033148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033148)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033148)Termination reason: Instruction limit
% 2.63/0.82 % (2033148)Termination phase: Property scanning
% 2.63/0.82 % (2033148)Time elapsed: 0.010 s
% 2.63/0.82 % (2033148)Peak memory usage: 10 MB
% 2.63/0.82 % (2033148)Instructions burned: 20 (million)
% 2.63/0.82 % (2033146)Instruction limit reached!
% 2.63/0.82 % (2033146)------------------------------
% 2.63/0.82 % (2033146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033146)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033146)Termination reason: Instruction limit
% 2.63/0.82 % (2033146)Termination phase: Property scanning
% 2.63/0.82 % (2033146)Time elapsed: 0.020 s
% 2.63/0.82 % (2033146)Peak memory usage: 10 MB
% 2.63/0.82 % (2033146)Instructions burned: 24 (million)
% 2.63/0.82 % (2033144)Instruction limit reached!
% 2.63/0.82 % (2033144)------------------------------
% 2.63/0.82 % (2033144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033144)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033144)Termination reason: Instruction limit
% 2.63/0.82 % (2033144)Termination phase: Property scanning
% 2.63/0.82 % (2033144)Time elapsed: 0.027 s
% 2.63/0.82 % (2033144)Peak memory usage: 10 MB
% 2.63/0.82 % (2033144)Instructions burned: 32 (million)
% 2.63/0.82 % (2033153)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3978619978:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.63/0.82 % (2033154)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=35941455:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.63/0.82 % (2033156)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1865308869:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.63/0.82 % (2033155)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2131176795:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.63/0.82 % (2033157)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.63/0.82 % (2033129)Instruction limit reached!
% 2.63/0.82 % (2033129)------------------------------
% 2.63/0.82 % (2033129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033129)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033129)Termination reason: Instruction limit
% 2.63/0.82 % (2033129)Termination phase: Saturation
% 2.63/0.82 % (2033129)Time elapsed: 0.148 s
% 2.63/0.82 % (2033129)Peak memory usage: 14 MB
% 2.63/0.82 % (2033129)Instructions burned: 328 (million)
% 2.63/0.82 % (2033157)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3342373675:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.63/0.82 % (2033157)Instruction limit reached!
% 2.63/0.82 % (2033157)------------------------------
% 2.63/0.82 % (2033157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033157)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033157)Termination reason: Instruction limit
% 2.63/0.82 % (2033157)Termination phase: shuffling
% 2.63/0.82 % (2033157)Time elapsed: 0.007 s
% 2.63/0.82 % (2033157)Peak memory usage: 10 MB
% 2.63/0.82 % (2033157)Instructions burned: 8 (million)
% 2.63/0.82 % (2033162)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2162717217:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.63/0.82 % (2033156)Instruction limit reached!
% 2.63/0.82 % (2033156)------------------------------
% 2.63/0.82 % (2033156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033156)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033156)Termination reason: Instruction limit
% 2.63/0.82 % (2033156)Termination phase: Property scanning
% 2.63/0.82 % (2033156)Time elapsed: 0.035 s
% 2.63/0.82 % (2033156)Peak memory usage: 10 MB
% 2.63/0.82 % (2033156)Instructions burned: 42 (million)
% 2.63/0.82 % (2033164)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2187657854:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.63/0.82 % (2033166)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.82 % (2033166)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3627037087:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.63/0.82 % (2033166)Instruction limit reached!
% 2.63/0.82 % (2033166)------------------------------
% 2.63/0.82 % (2033166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033166)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033166)Termination reason: Instruction limit
% 2.63/0.82 % (2033166)Termination phase: shuffling
% 2.63/0.82 % (2033166)Time elapsed: 0.004 s
% 2.63/0.82 % (2033166)Peak memory usage: 10 MB
% 2.63/0.82 % (2033166)Instructions burned: 7 (million)
% 2.63/0.82 % (2033164)Refutation not found, incomplete strategy
% 2.63/0.82 % (2033164)------------------------------
% 2.63/0.82 % (2033164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033164)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033164)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.82 % (2033164)Time elapsed: 0.031 s
% 2.63/0.82 % (2033164)Peak memory usage: 13 MB
% 2.63/0.82 % (2033164)Instructions burned: 72 (million)
% 2.63/0.82 % (2033164)------------------------------
% 2.63/0.82 % (2033164)------------------------------
% 2.63/0.82 % (2033169)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1679130591:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.63/0.82 % (2033154)Instruction limit reached!
% 2.63/0.82 % (2033154)------------------------------
% 2.63/0.82 % (2033154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033154)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033154)Termination reason: Instruction limit
% 2.63/0.82 % (2033154)Termination phase: Function definition elimination
% 2.63/0.82 % (2033154)Time elapsed: 0.095 s
% 2.63/0.82 % (2033154)Peak memory usage: 11 MB
% 2.63/0.82 % (2033154)Instructions burned: 144 (million)
% 2.63/0.82 % (2033169)Instruction limit reached!
% 2.63/0.82 % (2033169)------------------------------
% 2.63/0.82 % (2033169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033169)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033169)Termination reason: Instruction limit
% 2.63/0.82 % (2033169)Termination phase: Property scanning
% 2.63/0.82 % (2033169)Time elapsed: 0.011 s
% 2.63/0.82 % (2033169)Peak memory usage: 10 MB
% 2.63/0.82 % (2033169)Instructions burned: 22 (million)
% 2.63/0.82 % (2033170)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2121786466:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.63/0.82 % (2033155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2033086-2033155"...
% 2.63/0.82 % (2033170)Instruction limit reached!
% 2.63/0.82 % (2033170)------------------------------
% 2.63/0.82 % (2033170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033170)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033170)Termination reason: Instruction limit
% 2.63/0.82 % (2033170)Termination phase: shuffling
% 2.63/0.82 % (2033170)Time elapsed: 0.008 s
% 2.63/0.82 % (2033170)Peak memory usage: 10 MB
% 2.63/0.82 % (2033170)Instructions burned: 19 (million)
% 2.63/0.82 % (2033155)...printing done.
% 2.63/0.82 % (2033155)Refutation found. Thanks to Tanya!
% 2.63/0.82 % SZS status Theorem for theBenchmark
% 2.63/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/0.82 % (2033155)------------------------------
% 2.63/0.82 % (2033155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.82 % (2033155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.82 % (2033155)CaDiCaL version: 2.1.3
% 2.63/0.82 % (2033155)Termination reason: Refutation
% 2.63/0.82 % (2033155)Time elapsed: 0.108 s
% 2.63/0.82 % (2033155)Peak memory usage: 14 MB
% 2.63/0.82 % (2033155)Instructions burned: 125 (million)
% 2.63/0.82 % (2033086)Success in time 0.419 s
% 2.63/0.82 % Vampire exiting
%------------------------------------------------------------------------------