%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM738^4 : 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 : n007.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 08:18:42 AM UTC 2026
% Result : Theorem 21.72s 3.68s
% Output : Refutation 21.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 7
% Syntax : Number of formulae : 115 ( 60 unt; 0 typ; 0 def)
% Number of atoms : 1760 ( 228 equ; 0 cnn)
% Maximal formula atoms : 16 ( 15 avg)
% Number of connectives : 3166 ( 7 ~; 123 |; 0 &;2730 @)
% ( 0 <=>; 238 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 192 ( 188 usr; 9 con; 0-7 aty)
% ( 68 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 520 ( 442 ^; 78 !; 0 ?; 520 :)
% 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,
lbprop: ( $i > $o ) > $i > $i > $o ).
thf(func_def_133,type,
n_lb: ( $i > $o ) > $i > $o ).
thf(func_def_134,type,
min: ( $i > $o ) > $i > $o ).
thf(func_def_135,type,
d_428_prop1: $i > $i > $o ).
thf(func_def_136,type,
d_428_prop2: $i > $i > $o ).
thf(func_def_137,type,
d_428_prop4: $i > $o ).
thf(func_def_139,type,
d_428_g: $i > $i ).
thf(func_def_140,type,
times: $i > $i ).
thf(func_def_141,type,
n_ts: $i > $i > $i ).
thf(func_def_142,type,
d_429_prop1: $i > $i > $o ).
thf(func_def_143,type,
d_430_prop1: $i > $i > $i > $o ).
thf(func_def_144,type,
d_431_prop1: $i > $i > $i > $o ).
thf(func_def_145,type,
n_mn: $i > $i > $i ).
thf(func_def_146,type,
d_1to: $i > $i ).
thf(func_def_147,type,
outn: $i > $i > $i ).
thf(func_def_148,type,
inn: $i > $i > $i ).
thf(func_def_150,type,
singlet_u0: $i > $i ).
thf(func_def_154,type,
pair_u0: $i > $i ).
thf(func_def_155,type,
pair1type: $i > $i ).
thf(func_def_156,type,
pair1: $i > $i > $i > $i ).
thf(func_def_157,type,
first1: $i > $i > $i ).
thf(func_def_158,type,
second1: $i > $i > $i ).
thf(func_def_159,type,
pair_q0: $i > $i > $i ).
thf(func_def_160,type,
d_1out: $i > $i ).
thf(func_def_161,type,
xout: $i > $i ).
thf(func_def_162,type,
left1to: $i > $i > $i > $i ).
thf(func_def_163,type,
right1to: $i > $i > $i > $i ).
thf(func_def_164,type,
left: $i > $i > $i > $i > $i ).
thf(func_def_165,type,
right: $i > $i > $i > $i > $i ).
thf(func_def_166,type,
left_f1: $i > $i > $i > $i > $i ).
thf(func_def_167,type,
left_f2: $i > $i > $i > $i > $i ).
thf(func_def_169,type,
n_fr: $i > $i > $i ).
thf(func_def_170,type,
num: $i > $i ).
thf(func_def_171,type,
den: $i > $i ).
thf(func_def_172,type,
n_eq: $i > $i > $o ).
thf(func_def_173,type,
moref: $i > $i > $o ).
thf(func_def_174,type,
lessf: $i > $i > $o ).
thf(func_def_177,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_178,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_179,type,
vIMP: $o > $o > $o ).
thf(func_def_180,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_181,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_182,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_183,type,
vAND: $o > $o > $o ).
thf(func_def_184,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_185,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_186,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_187,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_188,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_189,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_190,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_191,type,
vOR: $o > $o > $o ).
thf(func_def_192,type,
vNOT: $o > $o ).
thf(func_def_193,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_198,type,
sK5: $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(f357,axiom,
( ( ^ [X0: $i,X1: $i] : ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )
= n_eq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_eq) ).
thf(f366,axiom,
( lessf
= ( ^ [X0: $i,X1: $i] : ( iii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessf) ).
thf(f370,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( ( moref @ X0 @ X1 )
=> ( lessf @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz42) ).
thf(f371,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( ( lessf @ X0 @ X1 )
=> ( moref @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz43) ).
thf(f372,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ frac )
@ ^ [X3: $i] :
( ( moref @ X0 @ X1 )
=> ( ( n_eq @ X0 @ X2 )
=> ( ( n_eq @ X1 @ X3 )
=> ( moref @ X2 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz44) ).
thf(f373,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ frac )
@ ^ [X3: $i] :
( ( lessf @ X0 @ X1 )
=> ( ( n_eq @ X0 @ X2 )
=> ( ( n_eq @ X1 @ X3 )
=> ( lessf @ X2 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz45) ).
thf(f374,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ frac )
@ ^ [X3: $i] :
( ( lessf @ X0 @ X1 )
=> ( ( n_eq @ X0 @ X2 )
=> ( ( n_eq @ X1 @ X3 )
=> ( lessf @ X2 @ X3 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f373]) ).
thf(f409,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] :
( ( lessf @ X1 @ X3 )
=> ( moref @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f371]) ).
thf(f410,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( lessf @ Y0 @ Y1 )
=> ( moref @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f409]) ).
thf(f485,plain,
( lessf
= ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f366]) ).
thf(f491,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f492,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f491]) ).
thf(f518,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X5: $i] :
( all_of
@ ^ [X6: $i] : ( in @ X6 @ frac )
@ ^ [X7: $i] :
( ( moref @ X1 @ X3 )
=> ( ( n_eq @ X1 @ X5 )
=> ( ( n_eq @ X3 @ X7 )
=> ( moref @ X5 @ X7 ) ) ) ) ) ) ) ),
inference(rectify,[],[f372]) ).
thf(f519,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( moref @ Y0 @ Y1 )
=> ( ( n_eq @ Y0 @ Y2 )
=> ( ( n_eq @ Y1 @ Y3 )
=> ( moref @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f518]) ).
thf(f632,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X5: $i] :
( all_of
@ ^ [X6: $i] : ( in @ X6 @ frac )
@ ^ [X7: $i] :
( ( lessf @ X1 @ X3 )
=> ( ( n_eq @ X1 @ X5 )
=> ( ( n_eq @ X3 @ X7 )
=> ( lessf @ X5 @ X7 ) ) ) ) ) ) ) ),
inference(rectify,[],[f374]) ).
thf(f633,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( lessf @ Y0 @ Y1 )
=> ( ( n_eq @ Y0 @ Y2 )
=> ( ( n_eq @ Y1 @ Y3 )
=> ( lessf @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f632]) ).
thf(f699,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] :
( ( moref @ X1 @ X3 )
=> ( lessf @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f370]) ).
thf(f700,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( moref @ Y0 @ Y1 )
=> ( lessf @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f699]) ).
thf(f744,plain,
( n_eq
= ( ^ [Y0: $i,Y1: $i] : ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f357]) ).
thf(f987,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( lessf @ Y0 @ Y1 )
=> ( ( n_eq @ Y0 @ Y2 )
=> ( ( n_eq @ Y1 @ Y3 )
=> ( lessf @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f633]) ).
thf(f1001,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( lessf @ Y0 @ Y1 )
=> ( moref @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f410]) ).
thf(f1012,plain,
( lessf
= ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f485]) ).
thf(f1022,plain,
( n_eq
= ( ^ [Y0: $i,Y1: $i] : ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f744]) ).
thf(f1026,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f492]) ).
thf(f1064,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( moref @ Y0 @ Y1 )
=> ( lessf @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f700]) ).
thf(f1079,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( moref @ Y0 @ Y1 )
=> ( ( n_eq @ Y0 @ Y2 )
=> ( ( n_eq @ Y1 @ Y3 )
=> ( moref @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f519]) ).
thf(f1082,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( lessf @ Y0 @ Y1 )
=> ( ( n_eq @ Y0 @ Y2 )
=> ( ( n_eq @ Y1 @ Y3 )
=> ( lessf @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f987]) ).
thf(f1166,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] : ( iii @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) )
@ Y0
@ Y1 )
=> ( moref @ Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f1001,f1026,f1026,f1012]) ).
thf(f1202,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ( moref @ Y0 @ Y1 )
=> ( ^ [Y2: $i,Y3: $i] : ( iii @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f1064,f1026,f1026,f1012]) ).
thf(f1216,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( is_of @ Y4 @ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( ^ [Y3: $i > $o,Y4: $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( ( is_of @ Y5 @ Y3 )
=> ( Y4 @ Y5 ) ) )
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( moref @ Y0 @ Y1 )
=> ( ( ^ [Y4: $i,Y5: $i] : ( n_is @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y0
@ Y2 )
=> ( ( ^ [Y4: $i,Y5: $i] : ( n_is @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y1
@ Y3 )
=> ( moref @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f1079,f1026,f1026,f1026,f1026,f1022,f1022]) ).
thf(f1219,plain,
( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3 @ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( is_of @ Y4 @ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ frac )
@ ^ [Y2: $i] :
( ^ [Y3: $i > $o,Y4: $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( ( is_of @ Y5 @ Y3 )
=> ( Y4 @ Y5 ) ) )
@ ^ [Y3: $i] : ( in @ Y3 @ frac )
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i] : ( iii @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y0
@ Y1 )
=> ( ( ^ [Y4: $i,Y5: $i] : ( n_is @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y0
@ Y2 )
=> ( ( ^ [Y4: $i,Y5: $i] : ( n_is @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y1
@ Y3 )
=> ( ^ [Y4: $i,Y5: $i] : ( iii @ ( n_ts @ ( num @ Y4 ) @ ( den @ Y5 ) ) @ ( n_ts @ ( num @ Y5 ) @ ( den @ Y4 ) ) )
@ Y2
@ Y3 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f1082,f1026,f1026,f1026,f1026,f1012,f1022,f1022,f1012]) ).
thf(f1509,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3
@ ^ [Y4: $i] : ( in @ Y4 @ frac ) )
=> ( ( moref @ Y0 @ Y1 )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y1 ) ) )
=> ( moref @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1216]) ).
thf(f1510,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3
@ ^ [Y4: $i] : ( in @ Y4 @ frac ) )
=> ( ( moref @ Y0 @ Y1 )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y1 ) ) )
=> ( moref @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1509]) ).
thf(f1511,plain,
! [X1: $i] :
( ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( moref @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1510]) ).
thf(f1512,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( moref @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1511]) ).
thf(f1513,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( moref @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f1512]) ).
thf(f1514,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X2 ) ) )
=> ( moref @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1513]) ).
thf(f1515,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X2 ) ) )
=> ( moref @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1514]) ).
thf(f1516,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ X2 ) ) )
=> ( moref @ Y0 @ Y1 ) ) ) ) ) ) )
@ X3 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(pi_proxy_clausification,[],[f1515]) ).
thf(f1517,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ Y0 ) ) ) ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(beta-eta_normalization,[],[f1516]) ).
thf(f1518,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ Y0 ) ) ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1517]) ).
thf(f1519,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ Y0 ) ) ) ) )
@ X4 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(pi_proxy_clausification,[],[f1518]) ).
thf(f1520,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( is_of @ X4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ X4 ) ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(beta-eta_normalization,[],[f1519]) ).
thf(f1521,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( moref @ X1 @ X2 )
=> ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ X4 ) ) ) ) )
| ( $false
= ( is_of @ X4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1520]) ).
thf(f1522,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( moref @ X1 @ X2 ) )
| ( $false
= ( is_of @ X4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ X4 ) ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1521]) ).
thf(f1523,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) ) )
| ( $true
= ( ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X2 ) ) )
=> ( moref @ X3 @ X4 ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ X1 @ X2 ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1522]) ).
thf(f1524,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( n_is @ ( n_ts @ ( num @ X2 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X2 ) ) ) )
| ( $false
= ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X3 ) ) @ ( n_ts @ ( num @ X3 ) @ ( den @ X1 ) ) ) )
| ( $false
= ( is_of @ X4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X3 @ X4 ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f1523]) ).
thf(f1795,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) )
=> ( moref @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1166]) ).
thf(f1796,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) )
=> ( moref @ Y1 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1795]) ).
thf(f1797,plain,
! [X1: $i] :
( ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( moref @ Y0 @ X1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1796]) ).
thf(f1798,plain,
! [X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( moref @ Y0 @ X1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1797]) ).
thf(f1799,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) )
=> ( moref @ Y0 @ X1 ) ) )
@ X2 )
= $true )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(pi_proxy_clausification,[],[f1798]) ).
thf(f1800,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) )
=> ( moref @ X2 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1799]) ).
thf(f1801,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) )
=> ( moref @ X2 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f1800]) ).
thf(f1802,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X2 @ X1 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1801]) ).
thf(f1971,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( moref @ Y0 @ Y1 )
=> ( iii @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1202]) ).
thf(f1972,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( moref @ Y0 @ Y1 )
=> ( iii @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1971]) ).
thf(f1973,plain,
! [X1: $i] :
( $true
= ( ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1972]) ).
thf(f1974,plain,
! [X1: $i] :
( ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1973]) ).
thf(f1975,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( moref @ X1 @ Y0 )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ Y0 ) ) ) ) )
@ X2 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(pi_proxy_clausification,[],[f1974]) ).
thf(f1976,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( ( moref @ X1 @ X2 )
=> ( iii @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(beta-eta_normalization,[],[f1975]) ).
thf(f1977,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( moref @ X1 @ X2 )
=> ( iii @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1976]) ).
thf(f1978,plain,
! [X2: $i,X1: $i] :
( ( ( iii @ ( n_ts @ ( num @ X2 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X2 ) ) )
= $true )
| ( $false
= ( moref @ X1 @ X2 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(imp_proxy_clausification,[],[f1977]) ).
thf(f2098,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3
@ ^ [Y4: $i] : ( in @ Y4 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y1 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1219]) ).
thf(f2099,plain,
( $false
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( is_of @ Y3
@ ^ [Y4: $i] : ( in @ Y4 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y1 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f2098]) ).
thf(f2100,plain,
( $false
= ( ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2099]) ).
thf(f2101,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2100]) ).
thf(f2102,plain,
( $true
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ),
inference(imp_proxy_clausification,[],[f2100]) ).
thf(f2103,plain,
( $false
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2
@ ^ [Y3: $i] : ( in @ Y3 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y0 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y2 ) ) @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y1 ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f2101]) ).
thf(f2104,plain,
( $false
= ( ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2103]) ).
thf(f2105,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2104]) ).
thf(f2106,plain,
( $true
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ),
inference(imp_proxy_clausification,[],[f2104]) ).
thf(f2107,plain,
( $false
= ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( is_of @ Y1
@ ^ [Y2: $i] : ( in @ Y2 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f2105]) ).
thf(f2108,plain,
( $false
= ( ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK3 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2107]) ).
thf(f2109,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK3 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2108]) ).
thf(f2110,plain,
( $true
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ),
inference(imp_proxy_clausification,[],[f2108]) ).
thf(f2111,plain,
( ( ^ [Y0: $i] :
( ( is_of @ Y0
@ ^ [Y1: $i] : ( in @ Y1 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ Y0 ) ) @ ( n_ts @ ( num @ Y0 ) @ ( den @ sK3 ) ) ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_proxy_clausification,[],[f2109]) ).
thf(f2112,plain,
( $false
= ( ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) )
=> ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK3 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2111]) ).
thf(f2113,plain,
( ( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK3 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f2112]) ).
thf(f2114,plain,
( $true
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ),
inference(imp_proxy_clausification,[],[f2112]) ).
thf(f2115,plain,
( $false
= ( ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) )
=> ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK3 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2113]) ).
thf(f2116,plain,
( ( iii @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK2 ) ) @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK1 ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f2113]) ).
thf(f2117,plain,
( $false
= ( ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK2 ) ) )
=> ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2115]) ).
thf(f2118,plain,
( $true
= ( n_is @ ( n_ts @ ( num @ sK1 ) @ ( den @ sK3 ) ) @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK1 ) ) ) ),
inference(imp_proxy_clausification,[],[f2115]) ).
thf(f2119,plain,
( $false
= ( iii @ ( n_ts @ ( num @ sK3 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f2117]) ).
thf(f2120,plain,
( $true
= ( n_is @ ( n_ts @ ( num @ sK2 ) @ ( den @ sK4 ) ) @ ( n_ts @ ( num @ sK4 ) @ ( den @ sK2 ) ) ) ),
inference(imp_proxy_clausification,[],[f2117]) ).
thf(f2423,plain,
( ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ sK2 @ sK1 ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f1802,f2116]) ).
thf(f2425,plain,
( ( $true
= ( moref @ sK2 @ sK1 ) )
| ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2427,plain,
( ( $true
= ( moref @ sK2 @ sK1 ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f2425,f2106]) ).
thf(f2428,plain,
( ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f2427]) ).
thf(f2431,plain,
( ( $true = $false )
| ( $true
= ( moref @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f2428,f2102]) ).
thf(f2432,plain,
( $true
= ( moref @ sK2 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f2431]) ).
thf(f2444,plain,
( ( $false
= ( moref @ sK4 @ sK3 ) )
| ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true = $false )
| ( $false
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(constrained_superposition,[],[f1978,f2119]) ).
thf(f2445,plain,
( ( $false
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ sK4 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f2444]) ).
thf(f2447,plain,
( ( $true = $false )
| ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ sK4 @ sK3 ) ) ),
inference(forward_demodulation,[],[f2445,f2110]) ).
thf(f2448,plain,
( ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ sK4 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f2447]) ).
thf(f2451,plain,
( ( $false
= ( moref @ sK4 @ sK3 ) )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f2448,f2114]) ).
thf(f2452,plain,
( $false
= ( moref @ sK4 @ sK3 ) ),
inference(trivial_inequality_removal,[],[f2451]) ).
thf(f2508,plain,
! [X0: $i,X1: $i] :
( ( ( moref @ X0 @ sK1 )
= $false )
| ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X1 @ sK3 ) )
| ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true = $false )
| ( $false
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(constrained_superposition,[],[f1524,f2118]) ).
thf(f2517,plain,
! [X0: $i,X1: $i] :
( ( ( moref @ X0 @ sK1 )
= $false )
| ( $false
= ( is_of @ sK3
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( $true
= ( moref @ X1 @ sK3 ) )
| ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(trivial_inequality_removal,[],[f2508]) ).
thf(f2536,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( ( moref @ X0 @ sK1 )
= $false )
| ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( $true = $false )
| ( $true
= ( moref @ X1 @ sK3 ) )
| ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(forward_demodulation,[],[f2517,f2110]) ).
thf(f2537,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( is_of @ sK1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X1 @ sK3 ) )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( ( moref @ X0 @ sK1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f2536]) ).
thf(f2544,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X1 @ sK3 ) )
| ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( ( moref @ X0 @ sK1 )
= $false )
| ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) ) ),
inference(forward_demodulation,[],[f2537,f2102]) ).
thf(f2545,plain,
! [X0: $i,X1: $i] :
( ( ( n_is @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )
= $false )
| ( $false
= ( is_of @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( ( moref @ X0 @ sK1 )
= $false )
| ( $false
= ( is_of @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ X1 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f2544]) ).
thf(f2560,plain,
( ( $true
= ( moref @ sK4 @ sK3 ) )
| ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ sK2 @ sK1 ) )
| ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f2545,f2120]) ).
thf(f2573,plain,
( ( $false
= ( is_of @ sK4
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $false
= ( moref @ sK2 @ sK1 ) )
| ( $true
= ( moref @ sK4 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f2560]) ).
thf(f2584,plain,
( ( $false
= ( moref @ sK2 @ sK1 ) )
| ( $true = $false )
| ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ sK4 @ sK3 ) ) ),
inference(forward_demodulation,[],[f2573,f2114]) ).
thf(f2585,plain,
( ( $false
= ( is_of @ sK2
@ ^ [Y0: $i] : ( in @ Y0 @ frac ) ) )
| ( $true
= ( moref @ sK4 @ sK3 ) )
| ( $false
= ( moref @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f2584]) ).
thf(f2592,plain,
( ( $true = $false )
| ( $true
= ( moref @ sK4 @ sK3 ) )
| ( $false
= ( moref @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f2585,f2106]) ).
thf(f2593,plain,
( ( $false
= ( moref @ sK2 @ sK1 ) )
| ( $true
= ( moref @ sK4 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f2592]) ).
thf(f2600,plain,
( ( $true = $false )
| ( $true
= ( moref @ sK4 @ sK3 ) ) ),
inference(forward_demodulation,[],[f2593,f2432]) ).
thf(f2601,plain,
( $true
= ( moref @ sK4 @ sK3 ) ),
inference(trivial_inequality_removal,[],[f2600]) ).
thf(f2614,plain,
$true = $false,
inference(forward_demodulation,[],[f2601,f2452]) ).
thf(f2615,plain,
$false,
inference(trivial_inequality_removal,[],[f2614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM738^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 12:44:41 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.21/0.30 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
% 0.83/0.50 % (3309160)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.83/0.50 % (3309168)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=2443594425: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)
% 0.83/0.50 % (3309166)lrs+10_16_si=on:nwc=1.5:random_seed=3462191648:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.83/0.50 % (3309165)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1654201461:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.83/0.50 % (3309166)Instruction limit reached!
% 0.83/0.50 % (3309166)------------------------------
% 0.83/0.50 % (3309166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.50 % (3309166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.50 % (3309166)CaDiCaL version: 2.1.3
% 0.83/0.50 % (3309166)Termination reason: Instruction limit
% 0.83/0.50 % (3309166)Termination phase: shuffling
% 0.83/0.50 % (3309166)Time elapsed: 0.008 s
% 0.83/0.50 % (3309166)Peak memory usage: 10 MB
% 0.83/0.50 % (3309166)Instructions burned: 18 (million)
% 0.83/0.50 % (3309175)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3832441181:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.50 % (3309175)Instruction limit reached!
% 0.83/0.50 % (3309175)------------------------------
% 0.83/0.50 % (3309175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.50 % (3309175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.50 % (3309175)CaDiCaL version: 2.1.3
% 0.83/0.50 % (3309175)Termination reason: Instruction limit
% 0.83/0.50 % (3309175)Termination phase: shuffling
% 0.83/0.50 % (3309175)Time elapsed: 0.002 s
% 0.83/0.50 % (3309175)Peak memory usage: 10 MB
% 0.83/0.50 % (3309175)Instructions burned: 3 (million)
% 0.83/0.50 % (3309165)Instruction limit reached!
% 0.83/0.50 % (3309165)------------------------------
% 0.83/0.50 % (3309165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.50 % (3309165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.50 % (3309165)CaDiCaL version: 2.1.3
% 0.83/0.50 % (3309165)Termination reason: Instruction limit
% 0.83/0.50 % (3309165)Termination phase: Property scanning
% 0.83/0.50 % (3309165)Time elapsed: 0.040 s
% 0.83/0.50 % (3309165)Peak memory usage: 12 MB
% 0.83/0.50 % (3309165)Instructions burned: 89 (million)
% 0.83/0.50 % (3309171)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.83/0.50 % (3309171)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
% 0.83/0.50 % (3309177)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=264792247:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.83/0.50 % (3309169)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1783267164:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.83/0.50 % (3309171)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=2045024173:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.83/0.50 % (3309170)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3366401151:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.83/0.50 % (3309177)Instruction limit reached!
% 0.83/0.50 % (3309177)------------------------------
% 0.83/0.50 % (3309177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.50 % (3309177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.50 % (3309177)CaDiCaL version: 2.1.3
% 0.83/0.50 % (3309177)Termination reason: Instruction limit
% 0.83/0.50 % (3309177)Termination phase: shuffling
% 0.83/0.50 % (3309177)Time elapsed: 0.003 s
% 0.83/0.50 % (3309177)Peak memory usage: 10 MB
% 0.83/0.50 % (3309177)Instructions burned: 6 (million)
% 0.83/0.50 % (3309167)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2392367226:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.83/0.54 % (3309178)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.54 % (3309167)Instruction limit reached!
% 0.83/0.54 % (3309167)------------------------------
% 0.83/0.54 % (3309167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3309167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3309167)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3309167)Termination reason: Instruction limit
% 0.83/0.54 % (3309167)Termination phase: shuffling
% 0.83/0.54 % (3309167)Time elapsed: 0.003 s
% 0.83/0.54 % (3309167)Peak memory usage: 10 MB
% 0.83/0.54 % (3309167)Instructions burned: 4 (million)
% 0.83/0.54 % (3309178)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3867241352:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.54 % (3309169)Instruction limit reached!
% 0.83/0.54 % (3309169)------------------------------
% 0.83/0.54 % (3309169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3309169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3309169)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3309169)Termination reason: Instruction limit
% 0.83/0.54 % (3309169)Termination phase: shuffling
% 0.83/0.54 % (3309169)Time elapsed: 0.011 s
% 0.83/0.54 % (3309169)Peak memory usage: 10 MB
% 0.83/0.54 % (3309169)Instructions burned: 24 (million)
% 0.83/0.54 % (3309178)Instruction limit reached!
% 0.83/0.54 % (3309178)------------------------------
% 0.83/0.54 % (3309178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3309178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3309178)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3309178)Termination reason: Instruction limit
% 0.83/0.54 % (3309178)Termination phase: shuffling
% 0.83/0.54 % (3309178)Time elapsed: 0.004 s
% 0.83/0.54 % (3309178)Peak memory usage: 10 MB
% 0.83/0.54 % (3309178)Instructions burned: 9 (million)
% 0.83/0.54 % (3309184)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2752330037:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.83/0.54 % (3309184)Instruction limit reached!
% 0.83/0.54 % (3309184)------------------------------
% 0.83/0.54 % (3309184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3309184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3309184)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3309184)Termination reason: Instruction limit
% 0.83/0.54 % (3309184)Termination phase: shuffling
% 0.83/0.54 % (3309184)Time elapsed: 0.006 s
% 0.83/0.54 % (3309184)Peak memory usage: 10 MB
% 0.83/0.54 % (3309184)Instructions burned: 14 (million)
% 0.83/0.54 % (3309187)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=2157493093:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.83/0.54 % (3309185)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
% 0.83/0.54 % (3309185)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.54 % (3309185)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=950536645:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.83/0.54 % (3309188)lrs+10_1_si=on:cs=on:random_seed=1475483149:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.83/0.54 % (3309188)Instruction limit reached!
% 0.83/0.54 % (3309188)------------------------------
% 0.83/0.54 % (3309188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3309188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3309188)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3309188)Termination reason: Instruction limit
% 0.83/0.54 % (3309188)Termination phase: shuffling
% 0.83/0.54 % (3309188)Time elapsed: 0.005 s
% 0.83/0.54 % (3309188)Peak memory usage: 10 MB
% 0.83/0.54 % (3309188)Instructions burned: 10 (million)
% 0.83/0.54 % (3309190)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.58 % (3309190)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=832192654:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.83/0.58 % (3309190)Instruction limit reached!
% 0.83/0.58 % (3309190)------------------------------
% 0.83/0.58 % (3309190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.58 % (3309190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.58 % (3309190)CaDiCaL version: 2.1.3
% 0.83/0.58 % (3309190)Termination reason: Instruction limit
% 0.83/0.58 % (3309190)Termination phase: shuffling
% 0.83/0.58 % (3309190)Time elapsed: 0.001 s
% 0.83/0.58 % (3309190)Peak memory usage: 10 MB
% 0.83/0.58 % (3309190)Instructions burned: 2 (million)
% 0.83/0.58 % (3309185)Instruction limit reached!
% 0.83/0.58 % (3309185)------------------------------
% 0.83/0.58 % (3309185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.58 % (3309185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.58 % (3309185)CaDiCaL version: 2.1.3
% 0.83/0.58 % (3309185)Termination reason: Instruction limit
% 0.83/0.58 % (3309185)Termination phase: shuffling
% 0.83/0.58 % (3309185)Time elapsed: 0.019 s
% 0.83/0.58 % (3309185)Peak memory usage: 10 MB
% 0.83/0.58 % (3309185)Instructions burned: 28 (million)
% 0.83/0.58 % (3309194)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3725207607:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.83/0.58 % (3309170)Instruction limit reached!
% 0.83/0.58 % (3309170)------------------------------
% 0.83/0.58 % (3309170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.58 % (3309170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.58 % (3309170)CaDiCaL version: 2.1.3
% 0.83/0.58 % (3309170)Termination reason: Instruction limit
% 0.83/0.58 % (3309170)Termination phase: SInE selection
% 0.83/0.58 % (3309170)Time elapsed: 0.061 s
% 0.83/0.58 % (3309170)Peak memory usage: 11 MB
% 0.83/0.58 % (3309170)Instructions burned: 75 (million)
% 0.83/0.59 % (3309171)Instruction limit reached!
% 0.83/0.59 % (3309171)------------------------------
% 0.83/0.59 % (3309171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.59 % (3309171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.59 % (3309171)CaDiCaL version: 2.1.3
% 0.83/0.59 % (3309171)Termination reason: Instruction limit
% 0.83/0.59 % (3309171)Termination phase: Function definition elimination
% 0.83/0.59 % (3309171)Time elapsed: 0.065 s
% 0.83/0.59 % (3309171)Peak memory usage: 12 MB
% 0.83/0.59 % (3309171)Instructions burned: 158 (million)
% 0.83/0.59 % (3309196)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3111520736:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.83/0.59 % (3309187)Instruction limit reached!
% 0.83/0.59 % (3309187)------------------------------
% 0.83/0.59 % (3309187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.59 % (3309187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.59 % (3309187)CaDiCaL version: 2.1.3
% 0.83/0.59 % (3309187)Termination reason: Instruction limit
% 0.83/0.59 % (3309187)Termination phase: Property scanning
% 0.83/0.59 % (3309187)Time elapsed: 0.038 s
% 0.83/0.59 % (3309187)Peak memory usage: 11 MB
% 0.83/0.59 % (3309187)Instructions burned: 86 (million)
% 0.83/0.59 % (3309197)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2917142867:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.83/0.59 % (3309201)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3202856022:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.83/0.59 % (3309197)Instruction limit reached!
% 0.83/0.59 % (3309197)------------------------------
% 0.83/0.59 % (3309197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.59 % (3309197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.59 % (3309197)CaDiCaL version: 2.1.3
% 0.83/0.59 % (3309197)Termination reason: Instruction limit
% 0.83/0.59 % (3309197)Termination phase: shuffling
% 0.83/0.59 % (3309197)Time elapsed: 0.012 s
% 1.75/0.66 % (3309197)Peak memory usage: 11 MB
% 1.75/0.66 % (3309197)Instructions burned: 27 (million)
% 1.75/0.66 % (3309202)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2606895939:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.75/0.66 % (3309194)Instruction limit reached!
% 1.75/0.66 % (3309194)------------------------------
% 1.75/0.66 % (3309194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309194)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309194)Termination reason: Instruction limit
% 1.75/0.66 % (3309194)Termination phase: shuffling
% 1.75/0.66 % (3309194)Time elapsed: 0.029 s
% 1.75/0.66 % (3309194)Peak memory usage: 11 MB
% 1.75/0.66 % (3309194)Instructions burned: 39 (million)
% 1.75/0.66 % (3309202)Instruction limit reached!
% 1.75/0.66 % (3309202)------------------------------
% 1.75/0.66 % (3309202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309202)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309202)Termination reason: Instruction limit
% 1.75/0.66 % (3309202)Termination phase: shuffling
% 1.75/0.66 % (3309202)Time elapsed: 0.007 s
% 1.75/0.66 % (3309202)Peak memory usage: 10 MB
% 1.75/0.66 % (3309202)Instructions burned: 16 (million)
% 1.75/0.66 % (3309199)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4255069787:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.75/0.66 % (3309206)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3756584350: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)
% 1.75/0.66 % (3309206)Instruction limit reached!
% 1.75/0.66 % (3309206)------------------------------
% 1.75/0.66 % (3309206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309206)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309206)Termination reason: Instruction limit
% 1.75/0.66 % (3309206)Termination phase: shuffling
% 1.75/0.66 % (3309206)Time elapsed: 0.002 s
% 1.75/0.66 % (3309206)Peak memory usage: 10 MB
% 1.75/0.66 % (3309206)Instructions burned: 3 (million)
% 1.75/0.66 % (3309196)Refutation not found, incomplete strategy
% 1.75/0.66 % (3309196)------------------------------
% 1.75/0.66 % (3309196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309196)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309196)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.66 % (3309196)Time elapsed: 0.045 s
% 1.75/0.66 % (3309196)Peak memory usage: 13 MB
% 1.75/0.66 % (3309196)Instructions burned: 103 (million)
% 1.75/0.66 % (3309208)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1314698297:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.75/0.66 % (3309199)Instruction limit reached!
% 1.75/0.66 % (3309199)------------------------------
% 1.75/0.66 % (3309199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309199)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309199)Termination reason: Instruction limit
% 1.75/0.66 % (3309199)Termination phase: shuffling
% 1.75/0.66 % (3309199)Time elapsed: 0.010 s
% 1.75/0.66 % (3309199)Peak memory usage: 10 MB
% 1.75/0.66 % (3309199)Instructions burned: 14 (million)
% 1.75/0.66 % (3309196)------------------------------
% 1.75/0.66 % (3309196)------------------------------
% 1.75/0.66 % (3309207)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=893488598:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.75/0.66 % (3309208)Instruction limit reached!
% 1.75/0.66 % (3309208)------------------------------
% 1.75/0.66 % (3309208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.66 % (3309208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.66 % (3309208)CaDiCaL version: 2.1.3
% 1.75/0.66 % (3309208)Termination reason: Instruction limit
% 1.75/0.66 % (3309208)Termination phase: shuffling
% 2.04/0.71 % (3309208)Time elapsed: 0.011 s
% 2.04/0.71 % (3309208)Peak memory usage: 10 MB
% 2.04/0.71 % (3309208)Instructions burned: 24 (million)
% 2.04/0.71 % (3309207)Instruction limit reached!
% 2.04/0.71 % (3309207)------------------------------
% 2.04/0.71 % (3309207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.71 % (3309207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.71 % (3309207)CaDiCaL version: 2.1.3
% 2.04/0.71 % (3309207)Termination reason: Instruction limit
% 2.04/0.71 % (3309207)Termination phase: shuffling
% 2.04/0.71 % (3309207)Time elapsed: 0.011 s
% 2.04/0.71 % (3309207)Peak memory usage: 10 MB
% 2.04/0.71 % (3309207)Instructions burned: 26 (million)
% 2.04/0.71 % (3309214)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.71 % (3309214)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=2560037648:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.04/0.71 % (3309214)Instruction limit reached!
% 2.04/0.71 % (3309214)------------------------------
% 2.04/0.71 % (3309214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.71 % (3309214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.71 % (3309214)CaDiCaL version: 2.1.3
% 2.04/0.71 % (3309214)Termination reason: Instruction limit
% 2.04/0.71 % (3309214)Termination phase: shuffling
% 2.04/0.71 % (3309214)Time elapsed: 0.005 s
% 2.04/0.71 % (3309214)Peak memory usage: 10 MB
% 2.04/0.71 % (3309214)Instructions burned: 10 (million)
% 2.04/0.71 % (3309216)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=3219827136:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.04/0.71 % (3309217)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3814388141:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.04/0.71 % (3309211)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3605043608:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.04/0.71 % (3309217)Instruction limit reached!
% 2.04/0.71 % (3309217)------------------------------
% 2.04/0.71 % (3309217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.71 % (3309217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.71 % (3309217)CaDiCaL version: 2.1.3
% 2.04/0.71 % (3309217)Termination reason: Instruction limit
% 2.04/0.71 % (3309217)Termination phase: shuffling
% 2.04/0.71 % (3309217)Time elapsed: 0.003 s
% 2.04/0.71 % (3309217)Peak memory usage: 10 MB
% 2.04/0.71 % (3309217)Instructions burned: 7 (million)
% 2.04/0.71 % (3309213)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
% 2.04/0.71 % (3309213)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.71 % (3309219)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1365972273:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.04/0.71 % (3309216)Instruction limit reached!
% 2.04/0.71 % (3309216)------------------------------
% 2.04/0.71 % (3309216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.71 % (3309216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.71 % (3309216)CaDiCaL version: 2.1.3
% 2.04/0.71 % (3309216)Termination reason: Instruction limit
% 2.04/0.71 % (3309216)Termination phase: shuffling
% 2.04/0.71 % (3309216)Time elapsed: 0.014 s
% 2.04/0.71 % (3309216)Peak memory usage: 11 MB
% 2.04/0.71 % (3309216)Instructions burned: 33 (million)
% 2.04/0.71 % (3309213)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=3878057753:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.04/0.71 % (3309222)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3647150070:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.04/0.71 % (3309219)Instruction limit reached!
% 2.04/0.71 % (3309219)------------------------------
% 2.42/0.81 % (3309219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309219)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309219)Termination reason: Instruction limit
% 2.42/0.81 % (3309219)Termination phase: shuffling
% 2.42/0.81 % (3309219)Time elapsed: 0.011 s
% 2.42/0.81 % (3309219)Peak memory usage: 10 MB
% 2.42/0.81 % (3309219)Instructions burned: 24 (million)
% 2.42/0.81 % (3309225)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1445943035:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.42/0.81 % (3309222)Instruction limit reached!
% 2.42/0.81 % (3309222)------------------------------
% 2.42/0.81 % (3309222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309222)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309222)Termination reason: Instruction limit
% 2.42/0.81 % (3309222)Termination phase: shuffling
% 2.42/0.81 % (3309222)Time elapsed: 0.009 s
% 2.42/0.81 % (3309222)Peak memory usage: 10 MB
% 2.42/0.81 % (3309222)Instructions burned: 20 (million)
% 2.42/0.81 % (3309228)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=10829108:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.42/0.81 % (3309213)Instruction limit reached!
% 2.42/0.81 % (3309213)------------------------------
% 2.42/0.81 % (3309213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309213)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309213)Termination reason: Instruction limit
% 2.42/0.81 % (3309213)Termination phase: shuffling
% 2.42/0.81 % (3309213)Time elapsed: 0.028 s
% 2.42/0.81 % (3309213)Peak memory usage: 10 MB
% 2.42/0.81 % (3309213)Instructions burned: 14 (million)
% 2.42/0.81 % (3309230)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2553555846:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.42/0.81 % (3309211)Instruction limit reached!
% 2.42/0.81 % (3309211)------------------------------
% 2.42/0.81 % (3309211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309211)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309211)Termination reason: Instruction limit
% 2.42/0.81 % (3309211)Termination phase: Property scanning
% 2.42/0.81 % (3309211)Time elapsed: 0.058 s
% 2.42/0.81 % (3309211)Peak memory usage: 11 MB
% 2.42/0.81 % (3309211)Instructions burned: 62 (million)
% 2.42/0.81 % (3309232)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1052862356:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.42/0.81 % (3309234)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.42/0.81 % (3309234)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1976434010:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.42/0.81 % (3309234)Instruction limit reached!
% 2.42/0.81 % (3309234)------------------------------
% 2.42/0.81 % (3309234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309234)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309234)Termination reason: Instruction limit
% 2.42/0.81 % (3309234)Termination phase: shuffling
% 2.42/0.81 % (3309234)Time elapsed: 0.004 s
% 2.42/0.81 % (3309234)Peak memory usage: 10 MB
% 2.42/0.81 % (3309234)Instructions burned: 9 (million)
% 2.42/0.81 % (3309168)Instruction limit reached!
% 2.42/0.81 % (3309168)------------------------------
% 2.42/0.81 % (3309168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.81 % (3309168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (3309168)CaDiCaL version: 2.1.3
% 2.42/0.81 % (3309168)Termination reason: Instruction limit
% 2.42/0.81 % (3309168)Termination phase: Saturation
% 2.42/0.81 % (3309168)Time elapsed: 0.297 s
% 2.42/0.81 % (3309168)Peak memory usage: 17 MB
% 2.42/0.81 % (3309168)Instructions burned: 634 (million)
% 2.42/0.88 % (3309228)Instruction limit reached!
% 2.42/0.88 % (3309228)------------------------------
% 2.42/0.88 % (3309228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309228)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309228)Termination reason: Instruction limit
% 2.42/0.88 % (3309228)Termination phase: Function definition elimination
% 2.42/0.88 % (3309228)Time elapsed: 0.060 s
% 2.42/0.88 % (3309228)Peak memory usage: 12 MB
% 2.42/0.88 % (3309228)Instructions burned: 143 (million)
% 2.42/0.88 % (3309232)Instruction limit reached!
% 2.42/0.88 % (3309232)------------------------------
% 2.42/0.88 % (3309232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309232)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309232)Termination reason: Instruction limit
% 2.42/0.88 % (3309232)Termination phase: Property scanning
% 2.42/0.88 % (3309232)Time elapsed: 0.029 s
% 2.42/0.88 % (3309232)Peak memory usage: 11 MB
% 2.42/0.88 % (3309232)Instructions burned: 43 (million)
% 2.42/0.88 % (3309239)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.42/0.88 % (3309201)Instruction limit reached!
% 2.42/0.88 % (3309201)------------------------------
% 2.42/0.88 % (3309201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309201)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309201)Termination reason: Instruction limit
% 2.42/0.88 % (3309201)Termination phase: Saturation
% 2.42/0.88 % (3309201)Time elapsed: 0.190 s
% 2.42/0.88 % (3309201)Peak memory usage: 14 MB
% 2.42/0.88 % (3309201)Instructions burned: 327 (million)
% 2.42/0.88 % (3309237)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1317514816:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.42/0.88 % (3309239)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=235582685:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.42/0.88 % (3309238)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=1447213456: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)
% 2.42/0.88 % (3309240)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3010537775:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.42/0.88 % (3309239)Instruction limit reached!
% 2.42/0.88 % (3309239)------------------------------
% 2.42/0.88 % (3309239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309230)Refutation not found, incomplete strategy
% 2.42/0.88 % (3309230)------------------------------
% 2.42/0.88 % (3309230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309239)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309239)Termination reason: Instruction limit
% 2.42/0.88 % (3309239)Termination phase: shuffling
% 2.42/0.88 % (3309230)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309239)Time elapsed: 0.009 s
% 2.42/0.88 % (3309230)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.88 % (3309230)Time elapsed: 0.087 s
% 2.42/0.88 % (3309239)Peak memory usage: 10 MB
% 2.42/0.88 % (3309239)Instructions burned: 7 (million)
% 2.42/0.88 % (3309230)Peak memory usage: 14 MB
% 2.42/0.88 % (3309230)Instructions burned: 195 (million)
% 2.42/0.88 % (3309230)------------------------------
% 2.42/0.88 % (3309230)------------------------------
% 2.42/0.88 % (3309240)Instruction limit reached!
% 2.42/0.88 % (3309240)------------------------------
% 2.42/0.88 % (3309240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.88 % (3309240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.88 % (3309240)CaDiCaL version: 2.1.3
% 2.42/0.88 % (3309240)Termination reason: Instruction limit
% 2.42/0.88 % (3309240)Termination phase: shuffling
% 2.42/0.88 % (3309240)Time elapsed: 0.010 s
% 2.99/0.98 % (3309240)Peak memory usage: 10 MB
% 2.99/0.98 % (3309240)Instructions burned: 23 (million)
% 2.99/0.98 % (3309242)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2625392452:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.99/0.98 % (3309247)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1369657946:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.99/0.98 % (3309246)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=346906423:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.99/0.98 % (3309242)Instruction limit reached!
% 2.99/0.98 % (3309242)------------------------------
% 2.99/0.98 % (3309242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.98 % (3309242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.98 % (3309242)CaDiCaL version: 2.1.3
% 2.99/0.98 % (3309242)Termination reason: Instruction limit
% 2.99/0.98 % (3309242)Termination phase: shuffling
% 2.99/0.98 % (3309242)Time elapsed: 0.009 s
% 2.99/0.98 % (3309242)Peak memory usage: 10 MB
% 2.99/0.98 % (3309242)Instructions burned: 20 (million)
% 2.99/0.98 % (3309248)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1536468530:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.99/0.98 % (3309252)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=967579192:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.99/0.98 % (3309248)Instruction limit reached!
% 2.99/0.98 % (3309248)------------------------------
% 2.99/0.98 % (3309248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.98 % (3309248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.98 % (3309248)CaDiCaL version: 2.1.3
% 2.99/0.98 % (3309248)Termination reason: Instruction limit
% 2.99/0.98 % (3309248)Termination phase: shuffling
% 2.99/0.98 % (3309248)Time elapsed: 0.020 s
% 2.99/0.98 % (3309248)Peak memory usage: 11 MB
% 2.99/0.98 % (3309248)Instructions burned: 46 (million)
% 2.99/0.98 % (3309255)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=270978755:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 2.99/0.98 % (3309255)Instruction limit reached!
% 2.99/0.98 % (3309255)------------------------------
% 2.99/0.98 % (3309255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.98 % (3309255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.98 % (3309255)CaDiCaL version: 2.1.3
% 2.99/0.98 % (3309255)Termination reason: Instruction limit
% 2.99/0.98 % (3309255)Termination phase: shuffling
% 2.99/0.98 % (3309255)Time elapsed: 0.010 s
% 2.99/0.98 % (3309255)Peak memory usage: 10 MB
% 2.99/0.98 % (3309255)Instructions burned: 22 (million)
% 2.99/0.98 % (3309238)Refutation not found, incomplete strategy
% 2.99/0.98 % (3309238)------------------------------
% 2.99/0.98 % (3309238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.98 % (3309238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.98 % (3309238)CaDiCaL version: 2.1.3
% 2.99/0.98 % (3309238)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.98 % (3309238)Time elapsed: 0.085 s
% 2.99/0.98 % (3309238)Peak memory usage: 14 MB
% 2.99/0.98 % (3309238)Instructions burned: 165 (million)
% 2.99/0.98 % (3309238)------------------------------
% 2.99/0.98 % (3309238)------------------------------
% 2.99/0.98 % (3309257)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.99/0.98 % (3309257)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1726985536:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 2.99/0.98 % (3309258)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1615672263:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 4.47/1.12 % (3309258)Instruction limit reached!
% 4.47/1.12 % (3309258)------------------------------
% 4.47/1.12 % (3309258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309258)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309258)Termination reason: Instruction limit
% 4.47/1.12 % (3309258)Termination phase: shuffling
% 4.47/1.12 % (3309258)Time elapsed: 0.006 s
% 4.47/1.12 % (3309258)Peak memory usage: 10 MB
% 4.47/1.12 % (3309258)Instructions burned: 14 (million)
% 4.47/1.12 % (3309252)Refutation not found, incomplete strategy
% 4.47/1.12 % (3309252)------------------------------
% 4.47/1.12 % (3309252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309252)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309252)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.12 % (3309252)Time elapsed: 0.074 s
% 4.47/1.12 % (3309252)Peak memory usage: 14 MB
% 4.47/1.12 % (3309252)Instructions burned: 171 (million)
% 4.47/1.12 % (3309252)------------------------------
% 4.47/1.12 % (3309252)------------------------------
% 4.47/1.12 % (3309237)Instruction limit reached!
% 4.47/1.12 % (3309237)------------------------------
% 4.47/1.12 % (3309237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309237)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309237)Termination reason: Instruction limit
% 4.47/1.12 % (3309237)Termination phase: Saturation
% 4.47/1.12 % (3309237)Time elapsed: 0.136 s
% 4.47/1.12 % (3309237)Peak memory usage: 13 MB
% 4.47/1.12 % (3309237)Instructions burned: 182 (million)
% 4.47/1.12 % (3309261)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3915072512:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.47/1.12 % (3309246)Instruction limit reached!
% 4.47/1.12 % (3309246)------------------------------
% 4.47/1.12 % (3309246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309246)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309246)Termination reason: Instruction limit
% 4.47/1.12 % (3309246)Termination phase: Function definition elimination
% 4.47/1.12 % (3309246)Time elapsed: 0.124 s
% 4.47/1.12 % (3309246)Peak memory usage: 11 MB
% 4.47/1.12 % (3309246)Instructions burned: 317 (million)
% 4.47/1.12 % (3309262)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=630689369:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 4.47/1.12 % (3309261)Instruction limit reached!
% 4.47/1.12 % (3309261)------------------------------
% 4.47/1.12 % (3309261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309261)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309261)Termination reason: Instruction limit
% 4.47/1.12 % (3309261)Termination phase: Property scanning
% 4.47/1.12 % (3309261)Time elapsed: 0.028 s
% 4.47/1.12 % (3309261)Peak memory usage: 11 MB
% 4.47/1.12 % (3309261)Instructions burned: 67 (million)
% 4.47/1.12 % (3309265)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3863374628:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.47/1.12 % (3309263)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1199950264:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 4.47/1.12 % (3309267)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2711912029:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.47/1.12 % (3309257)Instruction limit reached!
% 4.47/1.12 % (3309257)------------------------------
% 4.47/1.12 % (3309257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.47/1.12 % (3309257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.12 % (3309257)CaDiCaL version: 2.1.3
% 4.47/1.12 % (3309257)Termination reason: Instruction limit
% 4.47/1.12 % (3309257)Termination phase: Function definition elimination
% 5.18/1.27 % (3309257)Time elapsed: 0.082 s
% 5.18/1.27 % (3309257)Peak memory usage: 12 MB
% 5.18/1.27 % (3309257)Instructions burned: 203 (million)
% 5.18/1.27 % (3309263)Instruction limit reached!
% 5.18/1.27 % (3309263)------------------------------
% 5.18/1.27 % (3309263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.27 % (3309263)CaDiCaL version: 2.1.3
% 5.18/1.27 % (3309263)Termination reason: Instruction limit
% 5.18/1.27 % (3309263)Termination phase: shuffling
% 5.18/1.27 % (3309263)Time elapsed: 0.024 s
% 5.18/1.27 % (3309263)Peak memory usage: 10 MB
% 5.18/1.27 % (3309263)Instructions burned: 31 (million)
% 5.18/1.27 % (3309267)Instruction limit reached!
% 5.18/1.27 % (3309267)------------------------------
% 5.18/1.27 % (3309267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.27 % (3309267)CaDiCaL version: 2.1.3
% 5.18/1.27 % (3309267)Termination reason: Instruction limit
% 5.18/1.27 % (3309267)Termination phase: shuffling
% 5.18/1.27 % (3309267)Time elapsed: 0.015 s
% 5.18/1.27 % (3309267)Peak memory usage: 11 MB
% 5.18/1.27 % (3309267)Instructions burned: 36 (million)
% 5.18/1.27 % (3309262)Instruction limit reached!
% 5.18/1.27 % (3309262)------------------------------
% 5.18/1.27 % (3309262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.27 % (3309262)CaDiCaL version: 2.1.3
% 5.18/1.27 % (3309262)Termination reason: Instruction limit
% 5.18/1.27 % (3309262)Termination phase: Property scanning
% 5.18/1.27 % (3309262)Time elapsed: 0.044 s
% 5.18/1.27 % (3309262)Peak memory usage: 11 MB
% 5.18/1.27 % (3309262)Instructions burned: 52 (million)
% 5.18/1.27 % (3309271)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=317130401:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.18/1.27 % (3309273)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3170050562:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.18/1.27 % (3309272)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.18/1.27 % (3309265)Instruction limit reached!
% 5.18/1.27 % (3309265)------------------------------
% 5.18/1.27 % (3309265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.27 % (3309265)CaDiCaL version: 2.1.3
% 5.18/1.27 % (3309265)Termination reason: Instruction limit
% 5.18/1.27 % (3309265)Termination phase: Saturation
% 5.18/1.27 % (3309265)Time elapsed: 0.058 s
% 5.18/1.27 % (3309265)Peak memory usage: 13 MB
% 5.18/1.27 % (3309265)Instructions burned: 139 (million)
% 5.18/1.27 % (3309272)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2581304260:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.18/1.27 % (3309274)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2189484895:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.18/1.27 % (3309271)Instruction limit reached!
% 5.18/1.27 % (3309271)------------------------------
% 5.18/1.27 % (3309271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.27 % (3309271)CaDiCaL version: 2.1.3
% 5.18/1.27 % (3309271)Termination reason: Instruction limit
% 5.18/1.27 % (3309271)Termination phase: Property scanning
% 5.18/1.27 % (3309271)Time elapsed: 0.036 s
% 5.18/1.27 % (3309271)Peak memory usage: 11 MB
% 5.18/1.27 % (3309271)Instructions burned: 68 (million)
% 5.18/1.27 % (3309277)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=115119058:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.18/1.27 % (3309280)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2652577524:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.18/1.27 % (3309274)Instruction limit reached!
% 5.18/1.27 % (3309274)------------------------------
% 5.18/1.27 % (3309274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.27 % (3309274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309274)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309274)Termination reason: Instruction limit
% 5.44/1.36 % (3309274)Termination phase: Property scanning
% 5.44/1.36 % (3309274)Time elapsed: 0.043 s
% 5.44/1.36 % (3309274)Peak memory usage: 11 MB
% 5.44/1.36 % (3309274)Instructions burned: 97 (million)
% 5.44/1.36 % (3309277)Refutation not found, incomplete strategy
% 5.44/1.36 % (3309277)------------------------------
% 5.44/1.36 % (3309277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.36 % (3309277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309277)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309277)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.36 % (3309277)Time elapsed: 0.037 s
% 5.44/1.36 % (3309277)Peak memory usage: 13 MB
% 5.44/1.36 % (3309277)Instructions burned: 83 (million)
% 5.44/1.36 % (3309277)------------------------------
% 5.44/1.36 % (3309277)------------------------------
% 5.44/1.36 % (3309283)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2084703992:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 5.44/1.36 % (3309284)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1907496415:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 5.44/1.36 % (3309272)Instruction limit reached!
% 5.44/1.36 % (3309272)------------------------------
% 5.44/1.36 % (3309272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.36 % (3309272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309272)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309272)Termination reason: Instruction limit
% 5.44/1.36 % (3309272)Termination phase: Function definition elimination
% 5.44/1.36 % (3309272)Time elapsed: 0.117 s
% 5.44/1.36 % (3309272)Peak memory usage: 11 MB
% 5.44/1.36 % (3309272)Instructions burned: 180 (million)
% 5.44/1.36 % (3309284)Instruction limit reached!
% 5.44/1.36 % (3309284)------------------------------
% 5.44/1.36 % (3309284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.36 % (3309284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309284)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309284)Termination reason: Instruction limit
% 5.44/1.36 % (3309284)Termination phase: Property scanning
% 5.44/1.36 % (3309284)Time elapsed: 0.055 s
% 5.44/1.36 % (3309284)Peak memory usage: 12 MB
% 5.44/1.36 % (3309284)Instructions burned: 131 (million)
% 5.44/1.36 % (3309287)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1860958020:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 5.44/1.36 % (3309288)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1230060438:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 5.44/1.36 % (3309225)Instruction limit reached!
% 5.44/1.36 % (3309225)------------------------------
% 5.44/1.36 % (3309225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.36 % (3309225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309225)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309225)Termination reason: Instruction limit
% 5.44/1.36 % (3309225)Termination phase: Function definition elimination
% 5.44/1.36 % (3309225)Time elapsed: 0.486 s
% 5.44/1.36 % (3309225)Peak memory usage: 12 MB
% 5.44/1.36 % (3309225)Instructions burned: 1242 (million)
% 5.44/1.36 % (3309287)Instruction limit reached!
% 5.44/1.36 % (3309287)------------------------------
% 5.44/1.36 % (3309287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.36 % (3309287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.36 % (3309287)CaDiCaL version: 2.1.3
% 5.44/1.36 % (3309287)Termination reason: Instruction limit
% 5.44/1.36 % (3309287)Termination phase: Property scanning
% 5.44/1.36 % (3309287)Time elapsed: 0.021 s
% 5.44/1.36 % (3309287)Peak memory usage: 11 MB
% 5.44/1.36 % (3309287)Instructions burned: 45 (million)
% 5.44/1.36 % (3309291)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3842607562:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 5.44/1.36 % (3309292)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1870271545:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 5.44/1.36 % (3309247)Instruction limit reached!
% 6.07/1.49 % (3309247)------------------------------
% 6.07/1.49 % (3309247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.49 % (3309247)CaDiCaL version: 2.1.3
% 6.07/1.49 % (3309247)Termination reason: Instruction limit
% 6.07/1.49 % (3309247)Termination phase: Saturation
% 6.07/1.49 % (3309247)Time elapsed: 0.391 s
% 6.07/1.49 % (3309247)Peak memory usage: 18 MB
% 6.07/1.49 % (3309247)Instructions burned: 853 (million)
% 6.07/1.49 % (3309273)Instruction limit reached!
% 6.07/1.49 % (3309273)------------------------------
% 6.07/1.49 % (3309273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.49 % (3309273)CaDiCaL version: 2.1.3
% 6.07/1.49 % (3309273)Termination reason: Instruction limit
% 6.07/1.49 % (3309273)Termination phase: Saturation
% 6.07/1.49 % (3309273)Time elapsed: 0.199 s
% 6.07/1.49 % (3309273)Peak memory usage: 14 MB
% 6.07/1.49 % (3309273)Instructions burned: 246 (million)
% 6.07/1.49 % (3309295)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2839578698:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 6.07/1.49 % (3309296)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1474518185:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 6.07/1.49 % (3309292)Instruction limit reached!
% 6.07/1.49 % (3309292)------------------------------
% 6.07/1.49 % (3309292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.49 % (3309292)CaDiCaL version: 2.1.3
% 6.07/1.49 % (3309292)Termination reason: Instruction limit
% 6.07/1.49 % (3309292)Termination phase: Property scanning
% 6.07/1.49 % (3309292)Time elapsed: 0.078 s
% 6.07/1.49 % (3309292)Peak memory usage: 11 MB
% 6.07/1.49 % (3309292)Instructions burned: 95 (million)
% 6.07/1.49 % (3309295)Instruction limit reached!
% 6.07/1.49 % (3309295)------------------------------
% 6.07/1.49 % (3309295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.49 % (3309295)CaDiCaL version: 2.1.3
% 6.07/1.49 % (3309295)Termination reason: Instruction limit
% 6.07/1.49 % (3309295)Termination phase: Property scanning
% 6.07/1.49 % (3309295)Time elapsed: 0.043 s
% 6.07/1.49 % (3309295)Peak memory usage: 11 MB
% 6.07/1.49 % (3309295)Instructions burned: 66 (million)
% 6.07/1.49 % (3309296)Instruction limit reached!
% 6.07/1.49 % (3309296)------------------------------
% 6.07/1.49 % (3309296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.49 % (3309296)CaDiCaL version: 2.1.3
% 6.07/1.49 % (3309296)Termination reason: Instruction limit
% 6.07/1.49 % (3309296)Termination phase: Property scanning
% 6.07/1.49 % (3309296)Time elapsed: 0.054 s
% 6.07/1.49 % (3309296)Peak memory usage: 11 MB
% 6.07/1.49 % (3309296)Instructions burned: 107 (million)
% 6.07/1.49 % (3309300)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2596688621:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.07/1.49 % (3309299)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=928093537:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 6.07/1.49 % (3309301)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2355895925:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 6.07/1.49 % (3309283)Instruction limit reached!
% 6.07/1.49 % (3309283)------------------------------
% 6.07/1.49 % (3309283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.49 % (3309283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309283)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309283)Termination reason: Instruction limit
% 7.04/1.57 % (3309283)Termination phase: Saturation
% 7.04/1.57 % (3309283)Time elapsed: 0.271 s
% 7.04/1.57 % (3309283)Peak memory usage: 16 MB
% 7.04/1.57 % (3309283)Instructions burned: 515 (million)
% 7.04/1.57 % (3309305)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2188345005:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.04/1.57 % (3309291)Instruction limit reached!
% 7.04/1.57 % (3309291)------------------------------
% 7.04/1.57 % (3309291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309291)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309291)Termination reason: Instruction limit
% 7.04/1.57 % (3309291)Termination phase: Function definition elimination
% 7.04/1.57 % (3309291)Time elapsed: 0.204 s
% 7.04/1.57 % (3309291)Peak memory usage: 12 MB
% 7.04/1.57 % (3309291)Instructions burned: 450 (million)
% 7.04/1.57 % (3309305)Instruction limit reached!
% 7.04/1.57 % (3309305)------------------------------
% 7.04/1.57 % (3309305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309305)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309305)Termination reason: Instruction limit
% 7.04/1.57 % (3309305)Termination phase: shuffling
% 7.04/1.57 % (3309305)Time elapsed: 0.015 s
% 7.04/1.57 % (3309305)Peak memory usage: 11 MB
% 7.04/1.57 % (3309305)Instructions burned: 35 (million)
% 7.04/1.57 % (3309307)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2300962214:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 7.04/1.57 % (3309308)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1083759780:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 7.04/1.57 % (3309301)Instruction limit reached!
% 7.04/1.57 % (3309301)------------------------------
% 7.04/1.57 % (3309301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309301)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309301)Termination reason: Instruction limit
% 7.04/1.57 % (3309301)Termination phase: Function definition elimination
% 7.04/1.57 % (3309301)Time elapsed: 0.115 s
% 7.04/1.57 % (3309301)Peak memory usage: 12 MB
% 7.04/1.57 % (3309301)Instructions burned: 496 (million)
% 7.04/1.57 % (3309308)Instruction limit reached!
% 7.04/1.57 % (3309308)------------------------------
% 7.04/1.57 % (3309308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309308)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309308)Termination reason: Instruction limit
% 7.04/1.57 % (3309308)Termination phase: Property scanning
% 7.04/1.57 % (3309308)Time elapsed: 0.028 s
% 7.04/1.57 % (3309308)Peak memory usage: 11 MB
% 7.04/1.57 % (3309308)Instructions burned: 66 (million)
% 7.04/1.57 % (3309311)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=226027242:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 7.04/1.57 % (3309311)Instruction limit reached!
% 7.04/1.57 % (3309311)------------------------------
% 7.04/1.57 % (3309311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309311)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309311)Termination reason: Instruction limit
% 7.04/1.57 % (3309311)Termination phase: shuffling
% 7.04/1.57 % (3309311)Time elapsed: 0.005 s
% 7.04/1.57 % (3309311)Peak memory usage: 10 MB
% 7.04/1.57 % (3309311)Instructions burned: 22 (million)
% 7.04/1.57 % (3309307)Instruction limit reached!
% 7.04/1.57 % (3309307)------------------------------
% 7.04/1.57 % (3309307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.57 % (3309307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.57 % (3309307)CaDiCaL version: 2.1.3
% 7.04/1.57 % (3309307)Termination reason: Instruction limit
% 7.04/1.57 % (3309307)Termination phase: Property scanning
% 7.04/1.57 % (3309307)Time elapsed: 0.039 s
% 7.94/1.70 % (3309307)Peak memory usage: 12 MB
% 7.94/1.70 % (3309307)Instructions burned: 91 (million)
% 7.94/1.70 % (3309314)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2525163782:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 7.94/1.70 % (3309312)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=346017015:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 7.94/1.70 % (3309315)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.94/1.70 % (3309314)Instruction limit reached!
% 7.94/1.70 % (3309314)------------------------------
% 7.94/1.70 % (3309314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.70 % (3309314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.70 % (3309314)CaDiCaL version: 2.1.3
% 7.94/1.70 % (3309314)Termination reason: Instruction limit
% 7.94/1.70 % (3309314)Termination phase: shuffling
% 7.94/1.70 % (3309314)Time elapsed: 0.007 s
% 7.94/1.70 % (3309314)Peak memory usage: 10 MB
% 7.94/1.70 % (3309314)Instructions burned: 31 (million)
% 7.94/1.70 % (3309315)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2140405364:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 7.94/1.70 % (3309318)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3619149023:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 7.94/1.70 % (3309288)Instruction limit reached!
% 7.94/1.70 % (3309288)------------------------------
% 7.94/1.70 % (3309288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.70 % (3309288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.70 % (3309288)CaDiCaL version: 2.1.3
% 7.94/1.70 % (3309288)Termination reason: Instruction limit
% 7.94/1.70 % (3309288)Termination phase: Saturation
% 7.94/1.70 % (3309288)Time elapsed: 0.361 s
% 7.94/1.70 % (3309288)Peak memory usage: 17 MB
% 7.94/1.70 % (3309288)Instructions burned: 571 (million)
% 7.94/1.70 % (3309318)Instruction limit reached!
% 7.94/1.70 % (3309318)------------------------------
% 7.94/1.70 % (3309318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.70 % (3309318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.70 % (3309318)CaDiCaL version: 2.1.3
% 7.94/1.70 % (3309318)Termination reason: Instruction limit
% 7.94/1.70 % (3309318)Termination phase: Function definition elimination
% 7.94/1.70 % (3309318)Time elapsed: 0.071 s
% 7.94/1.70 % (3309318)Peak memory usage: 11 MB
% 7.94/1.70 % (3309318)Instructions burned: 345 (million)
% 7.94/1.70 % (3309321)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2890844509:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 7.94/1.70 % (3309315)Instruction limit reached!
% 7.94/1.70 % (3309315)------------------------------
% 7.94/1.70 % (3309315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.70 % (3309315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.70 % (3309315)CaDiCaL version: 2.1.3
% 7.94/1.70 % (3309315)Termination reason: Instruction limit
% 7.94/1.70 % (3309315)Termination phase: Function definition elimination
% 7.94/1.70 % (3309315)Time elapsed: 0.084 s
% 7.94/1.70 % (3309315)Peak memory usage: 12 MB
% 7.94/1.70 % (3309315)Instructions burned: 138 (million)
% 7.94/1.70 % (3309300)Instruction limit reached!
% 7.94/1.70 % (3309300)------------------------------
% 7.94/1.70 % (3309300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.70 % (3309300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.70 % (3309300)CaDiCaL version: 2.1.3
% 7.94/1.70 % (3309300)Termination reason: Instruction limit
% 7.94/1.70 % (3309300)Termination phase: Saturation
% 7.94/1.70 % (3309300)Time elapsed: 0.254 s
% 7.94/1.70 % (3309300)Peak memory usage: 15 MB
% 7.94/1.70 % (3309300)Instructions burned: 375 (million)
% 7.94/1.70 % (3309324)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=322177563:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 7.94/1.70 % (3309322)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.59/1.90 % (3309322)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3974361201:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 8.59/1.90 % (3309325)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3852756834:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 8.59/1.90 % (3309324)Instruction limit reached!
% 8.59/1.90 % (3309324)------------------------------
% 8.59/1.90 % (3309324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.90 % (3309324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.90 % (3309324)CaDiCaL version: 2.1.3
% 8.59/1.90 % (3309324)Termination reason: Instruction limit
% 8.59/1.90 % (3309324)Termination phase: Function definition elimination
% 8.59/1.90 % (3309324)Time elapsed: 0.026 s
% 8.59/1.90 % (3309324)Peak memory usage: 11 MB
% 8.59/1.90 % (3309324)Instructions burned: 118 (million)
% 8.59/1.90 % (3309280)Instruction limit reached!
% 8.59/1.90 % (3309280)------------------------------
% 8.59/1.90 % (3309280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.90 % (3309280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.90 % (3309280)CaDiCaL version: 2.1.3
% 8.59/1.90 % (3309280)Termination reason: Instruction limit
% 8.59/1.90 % (3309280)Termination phase: Saturation
% 8.59/1.90 % (3309280)Time elapsed: 0.532 s
% 8.59/1.90 % (3309280)Peak memory usage: 16 MB
% 8.59/1.90 % (3309280)Instructions burned: 875 (million)
% 8.59/1.90 % (3309329)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=205988249:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.59/1.90 % (3309330)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=2901513904:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/9840Mi)
% 8.59/1.90 % (3309312)Instruction limit reached!
% 8.59/1.90 % (3309312)------------------------------
% 8.59/1.90 % (3309312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.90 % (3309312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.90 % (3309312)CaDiCaL version: 2.1.3
% 8.59/1.90 % (3309312)Termination reason: Instruction limit
% 8.59/1.90 % (3309312)Termination phase: Function definition elimination
% 8.59/1.90 % (3309312)Time elapsed: 0.157 s
% 8.59/1.90 % (3309312)Peak memory usage: 11 MB
% 8.59/1.90 % (3309312)Instructions burned: 340 (million)
% 8.59/1.90 % (3309321)Refutation not found, incomplete strategy
% 8.59/1.90 % (3309321)------------------------------
% 8.59/1.90 % (3309321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.90 % (3309321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.90 % (3309321)CaDiCaL version: 2.1.3
% 8.59/1.90 % (3309321)Termination reason: Refutation not found, incomplete strategy
% 8.59/1.90 % (3309321)Time elapsed: 0.064 s
% 8.59/1.90 % (3309321)Peak memory usage: 13 MB
% 8.59/1.90 % (3309321)Instructions burned: 81 (million)
% 8.59/1.90 % (3309321)------------------------------
% 8.59/1.90 % (3309321)------------------------------
% 8.59/1.90 % (3309333)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4116422608:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 8.59/1.90 % (3309334)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 8.59/1.90 % (3309334)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1164010598:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 8.59/1.90 % (3309329)Instruction limit reached!
% 8.59/1.90 % (3309329)------------------------------
% 8.59/1.90 % (3309329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.90 % (3309329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.90 % (3309329)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309329)Termination reason: Instruction limit
% 12.36/2.24 % (3309329)Termination phase: Function definition elimination
% 12.36/2.24 % (3309329)Time elapsed: 0.056 s
% 12.36/2.24 % (3309329)Peak memory usage: 11 MB
% 12.36/2.24 % (3309329)Instructions burned: 271 (million)
% 12.36/2.24 % (3309337)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1607245543:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 12.36/2.24 % (3309333)Refutation not found, incomplete strategy
% 12.36/2.24 % (3309333)------------------------------
% 12.36/2.24 % (3309333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.36/2.24 % (3309333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.24 % (3309333)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309333)Termination reason: Refutation not found, incomplete strategy
% 12.36/2.24 % (3309333)Time elapsed: 0.036 s
% 12.36/2.24 % (3309333)Peak memory usage: 13 MB
% 12.36/2.24 % (3309333)Instructions burned: 81 (million)
% 12.36/2.24 % (3309333)------------------------------
% 12.36/2.24 % (3309333)------------------------------
% 12.36/2.24 % (3309337)Instruction limit reached!
% 12.36/2.24 % (3309337)------------------------------
% 12.36/2.24 % (3309337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.36/2.24 % (3309337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.24 % (3309337)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309337)Termination reason: Instruction limit
% 12.36/2.24 % (3309337)Termination phase: shuffling
% 12.36/2.24 % (3309337)Time elapsed: 0.008 s
% 12.36/2.24 % (3309337)Peak memory usage: 11 MB
% 12.36/2.24 % (3309337)Instructions burned: 35 (million)
% 12.36/2.24 % (3309339)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 12.36/2.24 % (3309339)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
% 12.36/2.24 % (3309340)dis+10_2_sil=128000:si=on:random_seed=644108747:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2987 on theBenchmark for (2987ds/339Mi)
% 12.36/2.24 % (3309339)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=2705696528:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 12.36/2.24 % (3309334)Instruction limit reached!
% 12.36/2.24 % (3309334)------------------------------
% 12.36/2.24 % (3309334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.36/2.24 % (3309334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.24 % (3309334)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309334)Termination reason: Instruction limit
% 12.36/2.24 % (3309334)Termination phase: Function definition elimination
% 12.36/2.24 % (3309334)Time elapsed: 0.108 s
% 12.36/2.24 % (3309334)Peak memory usage: 12 MB
% 12.36/2.24 % (3309334)Instructions burned: 271 (million)
% 12.36/2.24 % (3309340)Instruction limit reached!
% 12.36/2.24 % (3309340)------------------------------
% 12.36/2.24 % (3309340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.36/2.24 % (3309340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.24 % (3309340)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309340)Termination reason: Instruction limit
% 12.36/2.24 % (3309340)Termination phase: Saturation
% 12.36/2.24 % (3309340)Time elapsed: 0.084 s
% 12.36/2.24 % (3309340)Peak memory usage: 14 MB
% 12.36/2.24 % (3309340)Instructions burned: 341 (million)
% 12.36/2.24 % (3309322)Instruction limit reached!
% 12.36/2.24 % (3309322)------------------------------
% 12.36/2.24 % (3309322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.36/2.24 % (3309322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.24 % (3309322)CaDiCaL version: 2.1.3
% 12.36/2.24 % (3309322)Termination reason: Instruction limit
% 12.36/2.24 % (3309322)Termination phase: Function definition elimination
% 12.36/2.24 % (3309322)Time elapsed: 0.204 s
% 12.36/2.24 % (3309322)Peak memory usage: 11 MB
% 12.36/2.24 % (3309322)Instructions burned: 374 (million)
% 12.36/2.24 % (3309344)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=3936564133:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/122Mi)
% 12.73/2.36 % (3309343)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3467485835:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 12.73/2.36 % (3309325)Instruction limit reached!
% 12.73/2.36 % (3309325)------------------------------
% 12.73/2.36 % (3309325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.73/2.36 % (3309325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.36 % (3309325)CaDiCaL version: 2.1.3
% 12.73/2.36 % (3309325)Termination reason: Instruction limit
% 12.73/2.36 % (3309325)Termination phase: Function definition elimination
% 12.73/2.36 % (3309325)Time elapsed: 0.221 s
% 12.73/2.36 % (3309325)Peak memory usage: 12 MB
% 12.73/2.36 % (3309325)Instructions burned: 576 (million)
% 12.73/2.36 % (3309345)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1257254353:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/136Mi)
% 12.73/2.36 % (3309344)Instruction limit reached!
% 12.73/2.36 % (3309344)------------------------------
% 12.73/2.36 % (3309344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.73/2.36 % (3309344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.36 % (3309344)CaDiCaL version: 2.1.3
% 12.73/2.36 % (3309344)Termination reason: Instruction limit
% 12.73/2.36 % (3309344)Termination phase: Property scanning
% 12.73/2.36 % (3309344)Time elapsed: 0.027 s
% 12.73/2.36 % (3309344)Peak memory usage: 12 MB
% 12.73/2.36 % (3309344)Instructions burned: 123 (million)
% 12.73/2.36 % (3309348)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1647403003:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 12.73/2.36 % (3309350)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3614027287:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 12.73/2.36 % (3309343)Instruction limit reached!
% 12.73/2.36 % (3309343)------------------------------
% 12.73/2.36 % (3309343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.73/2.36 % (3309343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.36 % (3309343)CaDiCaL version: 2.1.3
% 12.73/2.36 % (3309343)Termination reason: Instruction limit
% 12.73/2.36 % (3309343)Termination phase: Function definition elimination
% 12.73/2.36 % (3309343)Time elapsed: 0.048 s
% 12.73/2.36 % (3309343)Peak memory usage: 11 MB
% 12.73/2.36 % (3309343)Instructions burned: 114 (million)
% 12.73/2.36 % (3309353)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.73/2.36 % (3309353)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3104438609:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 12.73/2.36 % (3309345)Instruction limit reached!
% 12.73/2.36 % (3309345)------------------------------
% 12.73/2.36 % (3309345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.73/2.36 % (3309345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.36 % (3309345)CaDiCaL version: 2.1.3
% 12.73/2.36 % (3309345)Termination reason: Instruction limit
% 12.73/2.36 % (3309345)Termination phase: Function definition elimination
% 12.73/2.36 % (3309345)Time elapsed: 0.103 s
% 12.73/2.36 % (3309345)Peak memory usage: 12 MB
% 12.73/2.36 % (3309345)Instructions burned: 138 (million)
% 12.73/2.36 % (3309357)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1896807134:i=619:add=on:rtra=on_2984 on theBenchmark for (2984ds/619Mi)
% 12.73/2.36 % (3309348)Instruction limit reached!
% 12.73/2.36 % (3309348)------------------------------
% 12.73/2.36 % (3309348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.73/2.36 % (3309348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.36 % (3309348)CaDiCaL version: 2.1.3
% 12.73/2.36 % (3309348)Termination reason: Instruction limit
% 12.73/2.36 % (3309348)Termination phase: Saturation
% 12.73/2.36 % (3309348)Time elapsed: 0.136 s
% 12.73/2.36 % (3309348)Peak memory usage: 14 MB
% 12.73/2.36 % (3309348)Instructions burned: 232 (million)
% 12.73/2.36 % (3309360)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3041781309:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/865Mi)
% 14.08/2.54 % (3309353)Instruction limit reached!
% 14.08/2.54 % (3309353)------------------------------
% 14.08/2.54 % (3309353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309353)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309353)Termination reason: Instruction limit
% 14.08/2.54 % (3309353)Termination phase: Function definition elimination
% 14.08/2.54 % (3309353)Time elapsed: 0.150 s
% 14.08/2.54 % (3309353)Peak memory usage: 12 MB
% 14.08/2.54 % (3309353)Instructions burned: 282 (million)
% 14.08/2.54 % (3309365)lrs+10_1_sil=128000:si=on:urr=on:random_seed=156792051:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/212Mi)
% 14.08/2.54 % (3309350)Instruction limit reached!
% 14.08/2.54 % (3309350)------------------------------
% 14.08/2.54 % (3309350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309350)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309350)Termination reason: Instruction limit
% 14.08/2.54 % (3309350)Termination phase: Function definition elimination
% 14.08/2.54 % (3309350)Time elapsed: 0.314 s
% 14.08/2.54 % (3309350)Peak memory usage: 12 MB
% 14.08/2.54 % (3309350)Instructions burned: 1256 (million)
% 14.08/2.54 % (3309367)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3857914761:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/130Mi)
% 14.08/2.54 % (3309365)Instruction limit reached!
% 14.08/2.54 % (3309365)------------------------------
% 14.08/2.54 % (3309365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309365)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309365)Termination reason: Instruction limit
% 14.08/2.54 % (3309365)Termination phase: Saturation
% 14.08/2.54 % (3309365)Time elapsed: 0.172 s
% 14.08/2.54 % (3309365)Peak memory usage: 14 MB
% 14.08/2.54 % (3309365)Instructions burned: 212 (million)
% 14.08/2.54 % (3309367)Instruction limit reached!
% 14.08/2.54 % (3309367)------------------------------
% 14.08/2.54 % (3309367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309367)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309367)Termination reason: Instruction limit
% 14.08/2.54 % (3309367)Termination phase: Saturation
% 14.08/2.54 % (3309367)Time elapsed: 0.070 s
% 14.08/2.54 % (3309367)Peak memory usage: 13 MB
% 14.08/2.54 % (3309367)Instructions burned: 131 (million)
% 14.08/2.54 % (3309369)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3966490076:st=1.5:i=346:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/346Mi)
% 14.08/2.54 % (3309370)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1884910096:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2981 on theBenchmark for (2981ds/152Mi)
% 14.08/2.54 % (3309339)Instruction limit reached!
% 14.08/2.54 % (3309339)------------------------------
% 14.08/2.54 % (3309339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309339)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309339)Termination reason: Instruction limit
% 14.08/2.54 % (3309339)Termination phase: Function definition elimination
% 14.08/2.54 % (3309339)Time elapsed: 0.582 s
% 14.08/2.54 % (3309339)Peak memory usage: 12 MB
% 14.08/2.54 % (3309339)Instructions burned: 1440 (million)
% 14.08/2.54 % (3309373)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2828634898:i=75:ep=R:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/75Mi)
% 14.08/2.54 % (3309360)Instruction limit reached!
% 14.08/2.54 % (3309360)------------------------------
% 14.08/2.54 % (3309360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.54 % (3309360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.54 % (3309360)CaDiCaL version: 2.1.3
% 14.08/2.54 % (3309360)Termination reason: Instruction limit
% 14.08/2.54 % (3309360)Termination phase: Function definition elimination
% 15.85/2.90 % (3309360)Time elapsed: 0.336 s
% 15.85/2.90 % (3309360)Peak memory usage: 11 MB
% 15.85/2.90 % (3309360)Instructions burned: 866 (million)
% 15.85/2.90 % (3309357)Instruction limit reached!
% 15.85/2.90 % (3309357)------------------------------
% 15.85/2.90 % (3309357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309357)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309357)Termination reason: Instruction limit
% 15.85/2.90 % (3309357)Termination phase: Function definition elimination
% 15.85/2.90 % (3309357)Time elapsed: 0.376 s
% 15.85/2.90 % (3309357)Peak memory usage: 12 MB
% 15.85/2.90 % (3309357)Instructions burned: 620 (million)
% 15.85/2.90 % (3309373)Instruction limit reached!
% 15.85/2.90 % (3309373)------------------------------
% 15.85/2.90 % (3309373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309373)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309373)Termination reason: Instruction limit
% 15.85/2.90 % (3309373)Termination phase: Property scanning
% 15.85/2.90 % (3309373)Time elapsed: 0.033 s
% 15.85/2.90 % (3309373)Peak memory usage: 11 MB
% 15.85/2.90 % (3309373)Instructions burned: 76 (million)
% 15.85/2.90 % (3309375)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1440807206:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/387Mi)
% 15.85/2.90 % (3309376)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=4137873914:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2980 on theBenchmark for (2980ds/148Mi)
% 15.85/2.90 % (3309377)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=569492672:i=161:piset=and:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/161Mi)
% 15.85/2.90 % (3309370)Instruction limit reached!
% 15.85/2.90 % (3309370)------------------------------
% 15.85/2.90 % (3309370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309370)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309370)Termination reason: Instruction limit
% 15.85/2.90 % (3309370)Termination phase: Function definition elimination
% 15.85/2.90 % (3309370)Time elapsed: 0.115 s
% 15.85/2.90 % (3309370)Peak memory usage: 12 MB
% 15.85/2.90 % (3309370)Instructions burned: 153 (million)
% 15.85/2.90 % (3309369)Instruction limit reached!
% 15.85/2.90 % (3309369)------------------------------
% 15.85/2.90 % (3309369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309369)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309369)Termination reason: Instruction limit
% 15.85/2.90 % (3309369)Termination phase: Saturation
% 15.85/2.90 % (3309369)Time elapsed: 0.161 s
% 15.85/2.90 % (3309369)Peak memory usage: 15 MB
% 15.85/2.90 % (3309369)Instructions burned: 347 (million)
% 15.85/2.90 % (3309382)lrs+10_1_sil=128000:si=on:random_seed=3892571666:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/888Mi)
% 15.85/2.90 % (3309376)Instruction limit reached!
% 15.85/2.90 % (3309376)------------------------------
% 15.85/2.90 % (3309376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309376)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309376)Termination reason: Instruction limit
% 15.85/2.90 % (3309376)Termination phase: Saturation
% 15.85/2.90 % (3309376)Time elapsed: 0.093 s
% 15.85/2.90 % (3309376)Peak memory usage: 12 MB
% 15.85/2.90 % (3309376)Instructions burned: 148 (million)
% 15.85/2.90 % (3309377)Instruction limit reached!
% 15.85/2.90 % (3309377)------------------------------
% 15.85/2.90 % (3309377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.90 % (3309377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.90 % (3309377)CaDiCaL version: 2.1.3
% 15.85/2.90 % (3309377)Termination reason: Instruction limit
% 15.85/2.90 % (3309377)Termination phase: Function definition elimination
% 15.85/2.90 % (3309377)Time elapsed: 0.099 s
% 15.85/2.90 % (3309377)Peak memory usage: 12 MB
% 15.85/2.90 % (3309377)Instructions burned: 162 (million)
% 15.85/2.90 % (3309383)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1495764687:i=136:add=on:ins=4:rtra=on:sup=off_2979 on theBenchmark for (2979ds/136Mi)
% 18.26/3.16 % (3309387)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1689247408:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2979 on theBenchmark for (2979ds/93Mi)
% 18.26/3.16 % (3309385)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3610793219:i=88:s2at=3:nm=2:rtra=on:rawr=on_2979 on theBenchmark for (2979ds/88Mi)
% 18.26/3.16 % (3309383)Instruction limit reached!
% 18.26/3.16 % (3309383)------------------------------
% 18.26/3.16 % (3309383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.26/3.16 % (3309383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.16 % (3309383)CaDiCaL version: 2.1.3
% 18.26/3.16 % (3309383)Termination reason: Instruction limit
% 18.26/3.16 % (3309383)Termination phase: Function definition elimination
% 18.26/3.16 % (3309383)Time elapsed: 0.057 s
% 18.26/3.16 % (3309383)Peak memory usage: 11 MB
% 18.26/3.16 % (3309383)Instructions burned: 139 (million)
% 18.26/3.16 % (3309387)Instruction limit reached!
% 18.26/3.16 % (3309387)------------------------------
% 18.26/3.16 % (3309387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.26/3.16 % (3309387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.16 % (3309387)CaDiCaL version: 2.1.3
% 18.26/3.16 % (3309387)Termination reason: Instruction limit
% 18.26/3.16 % (3309387)Termination phase: Property scanning
% 18.26/3.16 % (3309387)Time elapsed: 0.040 s
% 18.26/3.16 % (3309387)Peak memory usage: 11 MB
% 18.26/3.16 % (3309387)Instructions burned: 95 (million)
% 18.26/3.16 % (3309385)Instruction limit reached!
% 18.26/3.16 % (3309385)------------------------------
% 18.26/3.16 % (3309385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.26/3.16 % (3309385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.16 % (3309385)CaDiCaL version: 2.1.3
% 18.26/3.16 % (3309385)Termination reason: Instruction limit
% 18.26/3.16 % (3309385)Termination phase: Clausification
% 18.26/3.16 % (3309385)Time elapsed: 0.038 s
% 18.26/3.16 % (3309385)Peak memory usage: 11 MB
% 18.26/3.16 % (3309385)Instructions burned: 88 (million)
% 18.26/3.16 % (3309390)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=609835550:i=2186:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/2186Mi)
% 18.26/3.16 % (3309391)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2885177663:s2a=on:i=240:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/240Mi)
% 18.26/3.16 % (3309392)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=4256804700:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/805Mi)
% 18.26/3.16 % (3309375)Instruction limit reached!
% 18.26/3.16 % (3309375)------------------------------
% 18.26/3.16 % (3309375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.26/3.16 % (3309375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.16 % (3309375)CaDiCaL version: 2.1.3
% 18.26/3.16 % (3309375)Termination reason: Instruction limit
% 18.26/3.16 % (3309375)Termination phase: Saturation
% 18.26/3.16 % (3309375)Time elapsed: 0.208 s
% 18.26/3.16 % (3309375)Peak memory usage: 15 MB
% 18.26/3.16 % (3309375)Instructions burned: 388 (million)
% 18.26/3.16 % (3309396)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 18.26/3.16 % (3309396)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2324777270:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2978 on theBenchmark for (2978ds/391Mi)
% 18.26/3.16 % (3309391)Instruction limit reached!
% 18.26/3.16 % (3309391)------------------------------
% 18.26/3.16 % (3309391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.26/3.16 % (3309391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.16 % (3309391)CaDiCaL version: 2.1.3
% 18.26/3.16 % (3309391)Termination reason: Instruction limit
% 18.26/3.16 % (3309391)Termination phase: Function definition elimination
% 19.82/3.33 % (3309391)Time elapsed: 0.099 s
% 19.82/3.33 % (3309391)Peak memory usage: 12 MB
% 19.82/3.33 % (3309391)Instructions burned: 241 (million)
% 19.82/3.33 % (3309398)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3173602477:i=355:av=off:fsr=off:rtra=on:ixr=off_2977 on theBenchmark for (2977ds/355Mi)
% 19.82/3.33 % (3309396)Refutation not found, incomplete strategy
% 19.82/3.33 % (3309396)------------------------------
% 19.82/3.33 % (3309396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.33 % (3309396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.33 % (3309396)CaDiCaL version: 2.1.3
% 19.82/3.33 % (3309396)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.33 % (3309396)Time elapsed: 0.116 s
% 19.82/3.33 % (3309396)Peak memory usage: 15 MB
% 19.82/3.33 % (3309396)Instructions burned: 273 (million)
% 19.82/3.33 % (3309396)------------------------------
% 19.82/3.33 % (3309396)------------------------------
% 19.82/3.33 % (3309400)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3575434277:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/314Mi)
% 19.82/3.33 % (3309400)Refutation not found, incomplete strategy
% 19.82/3.33 % (3309400)------------------------------
% 19.82/3.33 % (3309400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.33 % (3309400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.33 % (3309400)CaDiCaL version: 2.1.3
% 19.82/3.33 % (3309400)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.33 % (3309400)Time elapsed: 0.048 s
% 19.82/3.33 % (3309400)Peak memory usage: 14 MB
% 19.82/3.33 % (3309400)Instructions burned: 96 (million)
% 19.82/3.33 % (3309400)------------------------------
% 19.82/3.33 % (3309400)------------------------------
% 19.82/3.33 % (3309398)Instruction limit reached!
% 19.82/3.33 % (3309398)------------------------------
% 19.82/3.33 % (3309398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.33 % (3309398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.33 % (3309398)CaDiCaL version: 2.1.3
% 19.82/3.33 % (3309398)Termination reason: Instruction limit
% 19.82/3.33 % (3309398)Termination phase: Function definition elimination
% 19.82/3.33 % (3309398)Time elapsed: 0.131 s
% 19.82/3.33 % (3309398)Peak memory usage: 12 MB
% 19.82/3.33 % (3309398)Instructions burned: 355 (million)
% 19.82/3.33 % (3309402)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=407681338:s2a=on:i=251:fsr=off:rtra=on_2976 on theBenchmark for (2976ds/251Mi)
% 19.82/3.33 % (3309403)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=261222247:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2976 on theBenchmark for (2976ds/2470Mi)
% 19.82/3.33 % (3309392)Instruction limit reached!
% 19.82/3.33 % (3309392)------------------------------
% 19.82/3.33 % (3309392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.33 % (3309392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.33 % (3309392)CaDiCaL version: 2.1.3
% 19.82/3.33 % (3309392)Termination reason: Instruction limit
% 19.82/3.33 % (3309392)Termination phase: Function definition elimination
% 19.82/3.33 % (3309392)Time elapsed: 0.340 s
% 19.82/3.33 % (3309392)Peak memory usage: 12 MB
% 19.82/3.33 % (3309392)Instructions burned: 807 (million)
% 19.82/3.33 % (3309406)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=722097404:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2975 on theBenchmark for (2975ds/673Mi)
% 19.82/3.33 % (3309402)Instruction limit reached!
% 19.82/3.33 % (3309402)------------------------------
% 19.82/3.33 % (3309402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.33 % (3309402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.33 % (3309402)CaDiCaL version: 2.1.3
% 19.82/3.33 % (3309402)Termination reason: Instruction limit
% 19.82/3.33 % (3309402)Termination phase: Function definition elimination
% 19.82/3.33 % (3309402)Time elapsed: 0.143 s
% 19.82/3.33 % (3309402)Peak memory usage: 12 MB
% 19.82/3.33 % (3309402)Instructions burned: 253 (million)
% 19.82/3.33 % (3309408)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2738270581:i=116:ep=RSTC:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/116Mi)
% 20.90/3.59 % (3309408)Instruction limit reached!
% 20.90/3.59 % (3309408)------------------------------
% 20.90/3.59 % (3309408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.90/3.59 % (3309408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/3.59 % (3309408)CaDiCaL version: 2.1.3
% 20.90/3.59 % (3309408)Termination reason: Instruction limit
% 20.90/3.59 % (3309408)Termination phase: Function definition elimination
% 20.90/3.59 % (3309408)Time elapsed: 0.074 s
% 20.90/3.59 % (3309408)Peak memory usage: 12 MB
% 20.90/3.59 % (3309408)Instructions burned: 117 (million)
% 20.90/3.59 % (3309410)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=772020663:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2973 on theBenchmark for (2973ds/270Mi)
% 20.90/3.59 % (3309382)Instruction limit reached!
% 20.90/3.59 % (3309382)------------------------------
% 20.90/3.59 % (3309382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.90/3.59 % (3309382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/3.59 % (3309382)CaDiCaL version: 2.1.3
% 20.90/3.59 % (3309382)Termination reason: Instruction limit
% 20.90/3.59 % (3309382)Termination phase: Saturation
% 20.90/3.59 % (3309382)Time elapsed: 0.673 s
% 20.90/3.59 % (3309382)Peak memory usage: 18 MB
% 20.90/3.59 % (3309382)Instructions burned: 889 (million)
% 20.90/3.59 % (3309412)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=3416964009:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2972 on theBenchmark for (2972ds/30Mi)
% 20.90/3.59 % (3309412)Instruction limit reached!
% 20.90/3.59 % (3309412)------------------------------
% 20.90/3.59 % (3309412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.90/3.59 % (3309412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/3.59 % (3309412)CaDiCaL version: 2.1.3
% 20.90/3.59 % (3309412)Termination reason: Instruction limit
% 20.90/3.59 % (3309412)Termination phase: shuffling
% 20.90/3.59 % (3309412)Time elapsed: 0.014 s
% 20.90/3.59 % (3309412)Peak memory usage: 11 MB
% 20.90/3.59 % (3309412)Instructions burned: 31 (million)
% 20.90/3.59 % (3309414)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.90/3.59 % (3309414)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4248518304:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2972 on theBenchmark for (2972ds/39Mi)
% 20.90/3.59 % (3309406)Instruction limit reached!
% 20.90/3.59 % (3309406)------------------------------
% 20.90/3.59 % (3309406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.90/3.59 % (3309406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/3.59 % (3309406)CaDiCaL version: 2.1.3
% 20.90/3.59 % (3309406)Termination reason: Instruction limit
% 20.90/3.59 % (3309406)Termination phase: Function definition elimination
% 20.90/3.59 % (3309406)Time elapsed: 0.274 s
% 20.90/3.59 % (3309406)Peak memory usage: 12 MB
% 20.90/3.59 % (3309406)Instructions burned: 675 (million)
% 20.90/3.59 % (3309414)Instruction limit reached!
% 20.90/3.59 % (3309414)------------------------------
% 20.90/3.59 % (3309414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.90/3.59 % (3309414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/3.59 % (3309414)CaDiCaL version: 2.1.3
% 20.90/3.59 % (3309414)Termination reason: Instruction limit
% 20.90/3.59 % (3309414)Termination phase: Property scanning
% 20.90/3.59 % (3309414)Time elapsed: 0.018 s
% 20.90/3.59 % (3309414)Peak memory usage: 11 MB
% 20.90/3.59 % (3309414)Instructions burned: 41 (million)
% 20.90/3.59 % (3309416)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3778844120:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/365Mi)
% 20.90/3.59 % (3309417)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3544981294:i=158:av=off:rtra=on_2972 on theBenchmark for (2972ds/158Mi)
% 20.90/3.59 % (3309410)Instruction limit reached!
% 20.90/3.59 % (3309410)------------------------------
% 20.90/3.59 % (3309410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309410)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309410)Termination reason: Instruction limit
% 21.72/3.68 % (3309410)Termination phase: Function definition elimination
% 21.72/3.68 % (3309410)Time elapsed: 0.154 s
% 21.72/3.68 % (3309410)Peak memory usage: 11 MB
% 21.72/3.68 % (3309410)Instructions burned: 270 (million)
% 21.72/3.68 % (3309420)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 21.72/3.68 % (3309417)Instruction limit reached!
% 21.72/3.68 % (3309417)------------------------------
% 21.72/3.68 % (3309417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309417)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309417)Termination reason: Instruction limit
% 21.72/3.68 % (3309417)Termination phase: Saturation
% 21.72/3.68 % (3309417)Time elapsed: 0.072 s
% 21.72/3.68 % (3309417)Peak memory usage: 13 MB
% 21.72/3.68 % (3309417)Instructions burned: 159 (million)
% 21.72/3.68 % (3309420)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=984321133:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/252Mi)
% 21.72/3.68 % (3309421)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=31162278:i=213:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/213Mi)
% 21.72/3.68 % (3309421)Refutation not found, incomplete strategy
% 21.72/3.68 % (3309421)------------------------------
% 21.72/3.68 % (3309421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309421)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309421)Termination reason: Refutation not found, incomplete strategy
% 21.72/3.68 % (3309421)Time elapsed: 0.037 s
% 21.72/3.68 % (3309421)Peak memory usage: 13 MB
% 21.72/3.68 % (3309421)Instructions burned: 81 (million)
% 21.72/3.68 % (3309421)------------------------------
% 21.72/3.68 % (3309421)------------------------------
% 21.72/3.68 % (3309416)Instruction limit reached!
% 21.72/3.68 % (3309416)------------------------------
% 21.72/3.68 % (3309416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309416)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309416)Termination reason: Instruction limit
% 21.72/3.68 % (3309416)Termination phase: Function definition elimination
% 21.72/3.68 % (3309416)Time elapsed: 0.143 s
% 21.72/3.68 % (3309416)Peak memory usage: 12 MB
% 21.72/3.68 % (3309416)Instructions burned: 365 (million)
% 21.72/3.68 % (3309424)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3779122159:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/160Mi)
% 21.72/3.68 % (3309425)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=343311648:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/763Mi)
% 21.72/3.68 % (3309420)Instruction limit reached!
% 21.72/3.68 % (3309420)------------------------------
% 21.72/3.68 % (3309420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309420)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309420)Termination reason: Instruction limit
% 21.72/3.68 % (3309420)Termination phase: Function definition elimination
% 21.72/3.68 % (3309420)Time elapsed: 0.101 s
% 21.72/3.68 % (3309420)Peak memory usage: 12 MB
% 21.72/3.68 % (3309420)Instructions burned: 253 (million)
% 21.72/3.68 % (3309428)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 21.72/3.68 % (3309428)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=766781413:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2970 on theBenchmark for (2970ds/237Mi)
% 21.72/3.68 % (3309424)Instruction limit reached!
% 21.72/3.68 % (3309424)------------------------------
% 21.72/3.68 % (3309424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309424)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309424)Termination reason: Instruction limit
% 21.72/3.68 % (3309424)Termination phase: Function definition elimination
% 21.72/3.68 % (3309424)Time elapsed: 0.070 s
% 21.72/3.68 % (3309424)Peak memory usage: 12 MB
% 21.72/3.68 % (3309424)Instructions burned: 160 (million)
% 21.72/3.68 % (3309428)Refutation not found, incomplete strategy
% 21.72/3.68 % (3309428)------------------------------
% 21.72/3.68 % (3309428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309428)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309428)Termination reason: Refutation not found, incomplete strategy
% 21.72/3.68 % (3309428)Time elapsed: 0.037 s
% 21.72/3.68 % (3309428)Peak memory usage: 13 MB
% 21.72/3.68 % (3309428)Instructions burned: 83 (million)
% 21.72/3.68 % (3309428)------------------------------
% 21.72/3.68 % (3309428)------------------------------
% 21.72/3.68 % (3309430)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3713093317:s2a=on:i=386:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/386Mi)
% 21.72/3.68 % (3309431)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3210679629:i=300:piset=and:nm=32:rtra=on_2969 on theBenchmark for (2969ds/300Mi)
% 21.72/3.68 % (3309390)Instruction limit reached!
% 21.72/3.68 % (3309390)------------------------------
% 21.72/3.68 % (3309390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309390)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309390)Termination reason: Instruction limit
% 21.72/3.68 % (3309390)Termination phase: Property scanning
% 21.72/3.68 % (3309390)Time elapsed: 1.036 s
% 21.72/3.68 % (3309390)Peak memory usage: 12 MB
% 21.72/3.68 % (3309390)Instructions burned: 2187 (million)
% 21.72/3.68 % (3309431)Instruction limit reached!
% 21.72/3.68 % (3309431)------------------------------
% 21.72/3.68 % (3309431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309431)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309431)Termination reason: Instruction limit
% 21.72/3.68 % (3309431)Termination phase: Function definition elimination
% 21.72/3.68 % (3309431)Time elapsed: 0.123 s
% 21.72/3.68 % (3309431)Peak memory usage: 12 MB
% 21.72/3.68 % (3309431)Instructions burned: 300 (million)
% 21.72/3.68 % (3309430)Instruction limit reached!
% 21.72/3.68 % (3309430)------------------------------
% 21.72/3.68 % (3309430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309430)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309430)Termination reason: Instruction limit
% 21.72/3.68 % (3309430)Termination phase: Function definition elimination
% 21.72/3.68 % (3309430)Time elapsed: 0.154 s
% 21.72/3.68 % (3309430)Peak memory usage: 12 MB
% 21.72/3.68 % (3309430)Instructions burned: 388 (million)
% 21.72/3.68 % (3309434)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=929444316:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/567Mi)
% 21.72/3.68 % (3309436)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2233360961:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2968 on theBenchmark for (2968ds/429Mi)
% 21.72/3.68 % (3309435)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=116010445:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2968 on theBenchmark for (2968ds/379Mi)
% 21.72/3.68 % (3309425)Instruction limit reached!
% 21.72/3.68 % (3309425)------------------------------
% 21.72/3.68 % (3309425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.68 % (3309425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.68 % (3309425)CaDiCaL version: 2.1.3
% 21.72/3.68 % (3309425)Termination reason: Instruction limit
% 21.72/3.68 % (3309425)Termination phase: Function definition elimination
% 21.72/3.68 % (3309425)Time elapsed: 0.332 s
% 21.72/3.68 % (3309425)Peak memory usage: 12 MB
% 21.72/3.68 % (3309425)Instructions burned: 763 (million)
% 21.72/3.68 % (3309440)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1227621144:i=478:bd=all:rtra=on_2967 on theBenchmark for (2967ds/478Mi)
% 21.72/3.68 % (3309435) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3309160-3309435"...
% 21.72/3.68 % (3309435)...printing done.
% 21.72/3.68 % (3309435)Refutation found. Thanks to Tanya!
% 21.72/3.68 % SZS status Theorem for theBenchmark
% 21.72/3.68 % SZS output start Proof for theBenchmark
% See solution above
% 21.72/3.69 % (3309435)------------------------------
% 21.72/3.69 % (3309435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.72/3.69 % (3309435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.69 % (3309435)CaDiCaL version: 2.1.3
% 21.72/3.69 % (3309435)Termination reason: Refutation
% 21.72/3.69 % (3309435)Time elapsed: 0.147 s
% 21.72/3.69 % (3309435)Peak memory usage: 15 MB
% 21.72/3.69 % (3309435)Instructions burned: 291 (million)
% 21.72/3.69 % (3309160)Success in time 3.374 s
% 21.72/3.69 % Vampire exiting
%------------------------------------------------------------------------------