%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM706^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:18:38 AM UTC 2026
% Result : Theorem 6.88s 1.57s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 51 unt; 0 typ; 0 def)
% Number of atoms : 569 ( 70 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 1239 ( 9 ~; 3 |; 38 &;1076 @)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 197 ( 192 usr; 9 con; 0-7 aty)
% ( 44 !!; 17 ??; 0 @@+; 0 @@-)
% Number of variables : 285 ( 275 ^; 8 !; 2 ?; 285 :)
% 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_146,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
vIMP: $o > $o > $o ).
thf(func_def_151,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_152,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_153,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_154,type,
vAND: $o > $o > $o ).
thf(func_def_155,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_158,type,
vOR: $o > $o > $o ).
thf(func_def_159,type,
vNOT: $o > $o ).
thf(func_def_160,type,
sP0: ( $i > $o ) > $o ).
thf(func_def_161,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK3: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_164,type,
sK4: $i > $i > $i > $i ).
thf(func_def_165,type,
sK5: $i > $i ).
thf(func_def_166,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_167,type,
sK7: $i > $i > $o ).
thf(func_def_168,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_169,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_170,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_172,type,
sK12: $i > $i > $o ).
thf(func_def_173,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_174,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_175,type,
sK15: ( $i > $o ) > $i ).
thf(func_def_176,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_177,type,
sK17: $i > $i > $i > $i ).
thf(func_def_178,type,
sK18: $i > $i > $o ).
thf(func_def_179,type,
sK19: $i > $i > $o ).
thf(func_def_180,type,
sK20: $i > $i ).
thf(func_def_182,type,
sK22: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(func_def_183,type,
sK23: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_184,type,
sK24: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_185,type,
sK25: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_186,type,
sK26: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_187,type,
sK27: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_188,type,
sK28: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_189,type,
sK29: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_190,type,
sK30: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_191,type,
sK31: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_192,type,
sK32: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(func_def_193,type,
sK33: ( $i > $i > $i > $o ) > ( $i > $i > $o ) > $i > ( $i > $i > $i > $o ) > $i ).
thf(func_def_194,type,
sK34: $i > $i ).
thf(func_def_195,type,
sK35: ( $i > $i > $i > $o ) > ( $i > $i > $o ) > $i > ( $i > $i > $i > $o ) > $i ).
thf(func_def_196,type,
sK36: ( $i > $i > $o ) > $i > ( $i > $i > $o ) > $i ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f29,axiom,
( d_Sep
= ( ^ [X0: $i,X1: $i > $o] :
( if
@ ? [X2: $i] :
( ( X1 @ X2 )
& ( in @ X2 @ X0 ) )
@ ( repl @ X0
@ ^ [X2: $i] :
( if @ ( X1 @ X2 ) @ X2
@ ( eps
@ ^ [X3: $i] :
( ( in @ X3 @ X0 )
& ( X1 @ X3 ) ) ) ) )
@ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_Sep) ).
thf(f67,axiom,
( ( ^ [X0: $i,X1: $i > $i] :
( d_Sep
@ ( power
@ ( d_Sigma @ X0
@ ^ [X2: $i] : ( union @ ( X1 @ X2 ) ) ) )
@ ^ [X2: $i] :
! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( ap @ X2 @ X3 ) @ ( X1 @ X3 ) ) ) ) )
= d_Pi ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_Pi) ).
thf(f91,axiom,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f289,axiom,
( ( ^ [X0: $i] :
( ind
@ ( d_Pi @ nat
@ ^ [X1: $i] : nat )
@ ( d_428_prop2 @ X0 ) ) )
= times ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_times) ).
thf(f290,axiom,
( ( ^ [X0: $i] : ( ap @ ( times @ X0 ) ) )
= n_ts ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_ts) ).
thf(f291,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( n_ts @ X0 @ n_1 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz28a) ).
thf(f295,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ X0 @ ( n_ts @ X0 @ n_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz28e) ).
thf(f296,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ X0 @ ( n_ts @ X0 @ n_1 ) ) ),
inference(negated_conjecture,[status(cth)],[f295]) ).
thf(f430,plain,
( ( ^ [X0: $i] :
( ind
@ ( d_Pi @ nat
@ ^ [X1: $i] : nat )
@ ( d_428_prop2 @ X0 ) ) )
= times ),
inference(rectify,[],[f289]) ).
thf(f431,plain,
( times
= ( ^ [Y0: $i] :
( ind
@ ( d_Pi @ nat
@ ^ [Y1: $i] : nat )
@ ( d_428_prop2 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f430]) ).
thf(f468,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f473,plain,
( n_ts
= ( ^ [Y0: $i] : ( ap @ ( times @ Y0 ) ) ) ),
inference(fool_elimination,[],[f290]) ).
thf(f499,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f504,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_ts @ X1 @ n_1 ) @ X1 ) ),
inference(rectify,[],[f291]) ).
thf(f505,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_ts @ Y0 @ n_1 ) @ Y0 ) ) ),
inference(fool_elimination,[],[f504]) ).
thf(f566,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f567,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f566]) ).
thf(f603,plain,
( d_Sep
= ( ^ [X0: $i,X1: $i > $o] :
( if
@ ? [X2: $i] :
( ( X1 @ X2 )
& ( in @ X2 @ X0 ) )
@ ( repl @ X0
@ ^ [X3: $i] :
( if @ ( X1 @ X3 ) @ X3
@ ( eps
@ ^ [X4: $i] :
( ( in @ X4 @ X0 )
& ( X1 @ X4 ) ) ) ) )
@ emptyset ) ) ),
inference(rectify,[],[f29]) ).
thf(f604,plain,
( d_Sep
= ( ^ [Y0: $i,Y1: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
@ ( repl @ Y0
@ ^ [Y2: $i] :
( if @ ( Y1 @ Y2 ) @ Y2
@ ( eps
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( in @ Y3 @ Y0 ) ) ) ) )
@ emptyset ) ) ),
inference(fool_elimination,[],[f603]) ).
thf(f686,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ X1 @ ( n_ts @ X1 @ n_1 ) ) ),
inference(rectify,[],[f296]) ).
thf(f687,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ Y0 @ n_1 ) ) ) ),
inference(fool_elimination,[],[f686]) ).
thf(f787,plain,
( ( ^ [X0: $i,X1: $i > $i] :
( d_Sep
@ ( power
@ ( d_Sigma @ X0
@ ^ [X2: $i] : ( union @ ( X1 @ X2 ) ) ) )
@ ^ [X3: $i] :
! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( in @ ( ap @ X3 @ X4 ) @ ( X1 @ X4 ) ) ) ) )
= d_Pi ),
inference(rectify,[],[f67]) ).
thf(f788,plain,
( d_Pi
= ( ^ [Y0: $i,Y1: $i > $i] :
( d_Sep
@ ( power
@ ( d_Sigma @ Y0
@ ^ [Y2: $i] : ( union @ ( Y1 @ Y2 ) ) ) )
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( ap @ Y2 @ Y3 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f787]) ).
thf(f789,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ Y0 @ n_1 ) ) ) ),
inference(flattening,[],[f687]) ).
thf(f854,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f855,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f468]) ).
thf(f875,plain,
( d_Sep
= ( ^ [Y0: $i,Y1: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) )
@ ( repl @ Y0
@ ^ [Y2: $i] :
( if @ ( Y1 @ Y2 ) @ Y2
@ ( eps
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( in @ Y3 @ Y0 ) ) ) ) )
@ emptyset ) ) ),
inference(cnf_transformation,[],[f604]) ).
thf(f892,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_ts @ Y0 @ n_1 ) @ Y0 ) ) ),
inference(cnf_transformation,[],[f505]) ).
thf(f893,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f499]) ).
thf(f897,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f567]) ).
thf(f902,plain,
( n_ts
= ( ^ [Y0: $i] : ( ap @ ( times @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f473]) ).
thf(f908,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ Y0 @ n_1 ) ) ) ),
inference(cnf_transformation,[],[f789]) ).
thf(f945,plain,
( d_Pi
= ( ^ [Y0: $i,Y1: $i > $i] :
( d_Sep
@ ( power
@ ( d_Sigma @ Y0
@ ^ [Y2: $i] : ( union @ ( Y1 @ Y2 ) ) ) )
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( ap @ Y2 @ Y3 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f788]) ).
thf(f982,plain,
( times
= ( ^ [Y0: $i] :
( ind
@ ( d_Pi @ nat
@ ^ [Y1: $i] : nat )
@ ( d_428_prop2 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f431]) ).
thf(f1000,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(definition_unfolding,[],[f897,f855]) ).
thf(f1001,plain,
( d_Pi
= ( ^ [Y0: $i,Y1: $i > $i] :
( ^ [Y2: $i,Y3: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y2 )
& ( Y3 @ Y4 ) ) )
@ ( repl @ Y2
@ ^ [Y4: $i] :
( if @ ( Y3 @ Y4 ) @ Y4
@ ( eps
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
& ( in @ Y5 @ Y2 ) ) ) ) )
@ emptyset )
@ ( power
@ ( d_Sigma @ Y0
@ ^ [Y2: $i] : ( union @ ( Y1 @ Y2 ) ) ) )
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( in @ ( ap @ Y2 @ Y3 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f945,f875]) ).
thf(f1003,plain,
( times
= ( ^ [Y0: $i] :
( ind
@ ( ^ [Y1: $i,Y2: $i > $i] :
( ^ [Y3: $i,Y4: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y3 )
& ( Y4 @ Y5 ) ) )
@ ( repl @ Y3
@ ^ [Y5: $i] :
( if @ ( Y4 @ Y5 ) @ Y5
@ ( eps
@ ^ [Y6: $i] :
( ( Y4 @ Y6 )
& ( in @ Y6 @ Y3 ) ) ) ) )
@ emptyset )
@ ( power
@ ( d_Sigma @ Y1
@ ^ [Y3: $i] : ( union @ ( Y2 @ Y3 ) ) ) )
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y1 )
=> ( in @ ( ap @ Y3 @ Y4 ) @ ( Y2 @ Y4 ) ) ) ) )
@ nat
@ ^ [Y1: $i] : nat )
@ ( d_428_prop2 @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f982,f1001]) ).
thf(f1006,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f854,f893]) ).
thf(f1012,plain,
( n_ts
= ( ^ [Y0: $i] :
( ap
@ ( ^ [Y1: $i] :
( ind
@ ( ^ [Y2: $i,Y3: $i > $i] :
( ^ [Y4: $i,Y5: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y6: $i] :
( ( in @ Y6 @ Y4 )
& ( Y5 @ Y6 ) ) )
@ ( repl @ Y4
@ ^ [Y6: $i] :
( if @ ( Y5 @ Y6 ) @ Y6
@ ( eps
@ ^ [Y7: $i] :
( ( Y5 @ Y7 )
& ( in @ Y7 @ Y4 ) ) ) ) )
@ emptyset )
@ ( power
@ ( d_Sigma @ Y2
@ ^ [Y4: $i] : ( union @ ( Y3 @ Y4 ) ) ) )
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y2 )
=> ( in @ ( ap @ Y4 @ Y5 ) @ ( Y3 @ Y5 ) ) ) ) )
@ nat
@ ^ [Y2: $i] : nat )
@ ( d_428_prop2 @ Y1 ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f902,f1003]) ).
thf(f1069,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( ^ [Y1: $i] :
( ap
@ ( ^ [Y2: $i] :
( ind
@ ( ^ [Y3: $i,Y4: $i > $i] :
( ^ [Y5: $i,Y6: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y7: $i] :
( ( in @ Y7 @ Y5 )
& ( Y6 @ Y7 ) ) )
@ ( repl @ Y5
@ ^ [Y7: $i] :
( if @ ( Y6 @ Y7 ) @ Y7
@ ( eps
@ ^ [Y8: $i] :
( ( Y6 @ Y8 )
& ( in @ Y8 @ Y5 ) ) ) ) )
@ emptyset )
@ ( power
@ ( d_Sigma @ Y3
@ ^ [Y5: $i] : ( union @ ( Y4 @ Y5 ) ) ) )
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( in @ Y6 @ Y3 )
=> ( in @ ( ap @ Y5 @ Y6 ) @ ( Y4 @ Y6 ) ) ) ) )
@ nat
@ ^ [Y3: $i] : nat )
@ ( d_428_prop2 @ Y2 ) )
@ Y1 ) )
@ Y0
@ n_1 )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f892,f1000,f1006,f1012]) ).
thf(f1078,plain,
( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ Y0
@ ( ^ [Y1: $i] :
( ap
@ ( ^ [Y2: $i] :
( ind
@ ( ^ [Y3: $i,Y4: $i > $i] :
( ^ [Y5: $i,Y6: $i > $o] :
( if
@ ( ?? @ $i
@ ^ [Y7: $i] :
( ( in @ Y7 @ Y5 )
& ( Y6 @ Y7 ) ) )
@ ( repl @ Y5
@ ^ [Y7: $i] :
( if @ ( Y6 @ Y7 ) @ Y7
@ ( eps
@ ^ [Y8: $i] :
( ( Y6 @ Y8 )
& ( in @ Y8 @ Y5 ) ) ) ) )
@ emptyset )
@ ( power
@ ( d_Sigma @ Y3
@ ^ [Y5: $i] : ( union @ ( Y4 @ Y5 ) ) ) )
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( in @ Y6 @ Y3 )
=> ( in @ ( ap @ Y5 @ Y6 ) @ ( Y4 @ Y6 ) ) ) ) )
@ nat
@ ^ [Y3: $i] : nat )
@ ( d_428_prop2 @ Y2 ) )
@ Y1 ) )
@ Y0
@ n_1 ) ) ) ),
inference(definition_unfolding,[],[f908,f1000,f1006,f1012]) ).
thf(f1424,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( Y0
= ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) )
@ ^ [Y1: $i] :
( if
@ ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
@ Y1
@ ( eps
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( in @ ( ap @ Y2 @ Y3 ) @ nat ) ) )
& ( in @ Y2
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y3: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ Y0 ) )
@ n_1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1078]) ).
thf(f1425,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( Y0
= ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) )
@ ^ [Y1: $i] :
( if
@ ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
@ Y1
@ ( eps
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( in @ ( ap @ Y2 @ Y3 ) @ nat ) ) )
& ( in @ Y2
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y3: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ Y0 ) )
@ n_1 ) ) )
@ sK11 ) ),
inference(sigma_proxy_clausification,[],[f1424]) ).
thf(f1426,plain,
( ( ( in @ sK11 @ nat )
=> ( sK11
= ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ sK11 ) )
@ n_1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1425]) ).
thf(f1427,plain,
( ( sK11
= ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ sK11 ) )
@ n_1 ) )
= $false ),
inference(imp_proxy_clausification,[],[f1426]) ).
thf(f1428,plain,
( $true
= ( in @ sK11 @ nat ) ),
inference(imp_proxy_clausification,[],[f1426]) ).
thf(f1429,plain,
( sK11
!= ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ sK11 ) )
@ n_1 ) ),
inference(equality_proxy_clausification,[],[f1427]) ).
thf(f1797,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) )
@ ^ [Y1: $i] :
( if
@ ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
@ Y1
@ ( eps
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( in @ ( ap @ Y2 @ Y3 ) @ nat ) ) )
& ( in @ Y2
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y3: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ Y0 ) )
@ n_1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1069]) ).
thf(f1798,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) )
@ ^ [Y1: $i] :
( if
@ ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
@ Y1
@ ( eps
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( in @ ( ap @ Y2 @ Y3 ) @ nat ) ) )
& ( in @ Y2
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y3: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ Y0 ) )
@ n_1 )
= Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1797]) ).
thf(f1799,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ X1 ) )
@ n_1 )
= X1 ) ) ),
inference(beta-eta_normalization,[],[f1798]) ).
thf(f1800,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ X1 ) )
@ n_1 )
= X1 ) ) ),
inference(imp_proxy_clausification,[],[f1799]) ).
thf(f1801,plain,
! [X1: $i] :
( ( ( ap
@ ( ind
@ ( if
@ ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y1: $i] : ( union @ nat ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) ) ) )
@ ( repl
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y0: $i] : ( union @ nat ) ) )
@ ^ [Y0: $i] :
( if
@ ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( in @ ( ap @ Y0 @ Y1 ) @ nat ) ) )
@ Y0
@ ( eps
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( in @ ( ap @ Y1 @ Y2 ) @ nat ) ) )
& ( in @ Y1
@ ( power
@ ( d_Sigma @ nat
@ ^ [Y2: $i] : ( union @ nat ) ) ) ) ) ) ) )
@ emptyset )
@ ( d_428_prop2 @ X1 ) )
@ n_1 )
= X1 )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1800]) ).
thf(f3401,plain,
( ( sK11 != sK11 )
| ( $false
= ( in @ sK11 @ nat ) ) ),
inference(constrained_superposition,[],[f1429,f1801]) ).
thf(f3419,plain,
( $false
= ( in @ sK11 @ nat ) ),
inference(trivial_inequality_removal,[],[f3401]) ).
thf(f3456,plain,
$true = $false,
inference(constrained_superposition,[],[f3419,f1428]) ).
thf(f3464,plain,
$false,
inference(trivial_inequality_removal,[],[f3456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM706^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 % Computer : n005.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Tue Sep 29 12:42:46 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.33 Running higher-order theorem proving
% 0.36/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/0.65 % (1608906)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.16/0.65 % (1608917)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.16/0.65 % (1608917)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.16/0.65 % (1608917)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=3236756492:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.16/0.65 % (1608912)lrs+10_16_si=on:nwc=1.5:random_seed=1827477387:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.16/0.65 % (1608916)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3398067698:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.16/0.65 % (1608911)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1962568026:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.16/0.65 % (1608913)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=757738609:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.16/0.65 % (1608915)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3129178738:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.16/0.65 % (1608914)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=4206395654: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)
% 1.16/0.65 % (1608913)Instruction limit reached!
% 1.16/0.65 % (1608913)------------------------------
% 1.16/0.65 % (1608913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.65 % (1608913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.65 % (1608913)CaDiCaL version: 2.1.3
% 1.16/0.65 % (1608913)Termination reason: Instruction limit
% 1.16/0.65 % (1608913)Termination phase: shuffling
% 1.16/0.65 % (1608913)Time elapsed: 0.003 s
% 1.16/0.65 % (1608913)Peak memory usage: 10 MB
% 1.16/0.65 % (1608913)Instructions burned: 3 (million)
% 1.16/0.65 % (1608912)Instruction limit reached!
% 1.16/0.65 % (1608912)------------------------------
% 1.16/0.65 % (1608912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.65 % (1608912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.65 % (1608912)CaDiCaL version: 2.1.3
% 1.16/0.65 % (1608912)Termination reason: Instruction limit
% 1.16/0.65 % (1608912)Termination phase: shuffling
% 1.16/0.65 % (1608912)Time elapsed: 0.014 s
% 1.16/0.65 % (1608912)Peak memory usage: 10 MB
% 1.16/0.65 % (1608912)Instructions burned: 18 (million)
% 1.16/0.65 % (1608915)Instruction limit reached!
% 1.16/0.65 % (1608915)------------------------------
% 1.16/0.65 % (1608915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.65 % (1608915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.65 % (1608915)CaDiCaL version: 2.1.3
% 1.16/0.65 % (1608915)Termination reason: Instruction limit
% 1.16/0.65 % (1608915)Termination phase: shuffling
% 1.16/0.65 % (1608915)Time elapsed: 0.020 s
% 1.16/0.65 % (1608915)Peak memory usage: 10 MB
% 1.16/0.65 % (1608915)Instructions burned: 25 (million)
% 1.16/0.65 % (1608925)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2719016623:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.16/0.65 % (1608925)Instruction limit reached!
% 1.16/0.65 % (1608925)------------------------------
% 1.16/0.65 % (1608925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.65 % (1608925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.65 % (1608925)CaDiCaL version: 2.1.3
% 1.16/0.65 % (1608925)Termination reason: Instruction limit
% 1.16/0.65 % (1608925)Termination phase: shuffling
% 1.16/0.65 % (1608925)Time elapsed: 0.004 s
% 1.16/0.65 % (1608925)Peak memory usage: 10 MB
% 1.16/0.65 % (1608925)Instructions burned: 3 (million)
% 1.16/0.65 % (1608917)Instruction limit reached!
% 1.16/0.65 % (1608917)------------------------------
% 1.16/0.65 % (1608917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608917)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608917)Termination reason: Instruction limit
% 1.71/0.71 % (1608917)Termination phase: Function definition elimination
% 1.71/0.71 % (1608917)Time elapsed: 0.059 s
% 1.71/0.71 % (1608917)Peak memory usage: 11 MB
% 1.71/0.71 % (1608917)Instructions burned: 160 (million)
% 1.71/0.71 % (1608926)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1227931811:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.71/0.71 % (1608927)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.71/0.71 % (1608926)Instruction limit reached!
% 1.71/0.71 % (1608926)------------------------------
% 1.71/0.71 % (1608926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608926)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608926)Termination reason: Instruction limit
% 1.71/0.71 % (1608926)Termination phase: shuffling
% 1.71/0.71 % (1608926)Time elapsed: 0.005 s
% 1.71/0.71 % (1608926)Peak memory usage: 10 MB
% 1.71/0.71 % (1608926)Instructions burned: 6 (million)
% 1.71/0.71 % (1608927)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1019513404:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.71/0.71 % (1608916)Instruction limit reached!
% 1.71/0.71 % (1608916)------------------------------
% 1.71/0.71 % (1608916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608916)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608916)Termination reason: Instruction limit
% 1.71/0.71 % (1608916)Termination phase: Property scanning
% 1.71/0.71 % (1608916)Time elapsed: 0.060 s
% 1.71/0.71 % (1608916)Peak memory usage: 11 MB
% 1.71/0.71 % (1608916)Instructions burned: 76 (million)
% 1.71/0.71 % (1608930)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.71/0.71 % (1608930)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.71/0.71 % (1608927)Instruction limit reached!
% 1.71/0.71 % (1608927)------------------------------
% 1.71/0.71 % (1608927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608927)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608927)Termination reason: Instruction limit
% 1.71/0.71 % (1608927)Termination phase: shuffling
% 1.71/0.71 % (1608927)Time elapsed: 0.006 s
% 1.71/0.71 % (1608927)Peak memory usage: 10 MB
% 1.71/0.71 % (1608927)Instructions burned: 7 (million)
% 1.71/0.71 % (1608930)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=755004033:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.71/0.71 % (1608911)Instruction limit reached!
% 1.71/0.71 % (1608911)------------------------------
% 1.71/0.71 % (1608911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608911)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608911)Termination reason: Instruction limit
% 1.71/0.71 % (1608911)Termination phase: Function definition elimination
% 1.71/0.71 % (1608911)Time elapsed: 0.069 s
% 1.71/0.71 % (1608911)Peak memory usage: 11 MB
% 1.71/0.71 % (1608911)Instructions burned: 87 (million)
% 1.71/0.71 % (1608929)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1621663121:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.71/0.71 % (1608930)Instruction limit reached!
% 1.71/0.71 % (1608930)------------------------------
% 1.71/0.71 % (1608930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.71 % (1608930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.71 % (1608930)CaDiCaL version: 2.1.3
% 1.71/0.71 % (1608930)Termination reason: Instruction limit
% 1.71/0.74 % (1608930)Termination phase: shuffling
% 1.71/0.74 % (1608930)Time elapsed: 0.013 s
% 1.71/0.74 % (1608930)Peak memory usage: 10 MB
% 1.71/0.74 % (1608930)Instructions burned: 29 (million)
% 1.71/0.74 % (1608929)Instruction limit reached!
% 1.71/0.74 % (1608929)------------------------------
% 1.71/0.74 % (1608929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (1608929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (1608929)CaDiCaL version: 2.1.3
% 1.71/0.74 % (1608929)Termination reason: Instruction limit
% 1.71/0.74 % (1608929)Termination phase: shuffling
% 1.71/0.74 % (1608929)Time elapsed: 0.011 s
% 1.71/0.74 % (1608929)Peak memory usage: 10 MB
% 1.71/0.74 % (1608929)Instructions burned: 13 (million)
% 1.71/0.74 % (1608934)lrs+10_1_si=on:cs=on:random_seed=162912218:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.71/0.74 % (1608936)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.71/0.74 % (1608939)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=111525578:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.71/0.74 % (1608936)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=2160195998:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.71/0.74 % (1608934)Instruction limit reached!
% 1.71/0.74 % (1608934)------------------------------
% 1.71/0.74 % (1608934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (1608934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (1608934)CaDiCaL version: 2.1.3
% 1.71/0.74 % (1608934)Termination reason: Instruction limit
% 1.71/0.74 % (1608934)Termination phase: shuffling
% 1.71/0.74 % (1608934)Time elapsed: 0.007 s
% 1.71/0.74 % (1608934)Peak memory usage: 10 MB
% 1.71/0.74 % (1608934)Instructions burned: 8 (million)
% 1.71/0.74 % (1608936)Instruction limit reached!
% 1.71/0.74 % (1608936)------------------------------
% 1.71/0.74 % (1608936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (1608936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (1608936)CaDiCaL version: 2.1.3
% 1.71/0.74 % (1608936)Termination reason: Instruction limit
% 1.71/0.74 % (1608936)Termination phase: shuffling
% 1.71/0.74 % (1608936)Time elapsed: 0.003 s
% 1.71/0.74 % (1608936)Peak memory usage: 10 MB
% 1.71/0.74 % (1608936)Instructions burned: 3 (million)
% 1.71/0.74 % (1608937)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=174252947:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.71/0.74 % (1608932)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=1085454326:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.71/0.74 % (1608940)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3847443257:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.71/0.74 % (1608939)Refutation not found, incomplete strategy
% 1.71/0.74 % (1608939)------------------------------
% 1.71/0.74 % (1608939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (1608939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (1608939)CaDiCaL version: 2.1.3
% 1.71/0.74 % (1608939)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.74 % (1608939)Time elapsed: 0.029 s
% 1.71/0.74 % (1608939)Peak memory usage: 13 MB
% 1.71/0.74 % (1608939)Instructions burned: 69 (million)
% 1.71/0.74 % (1608939)------------------------------
% 1.71/0.74 % (1608939)------------------------------
% 1.71/0.74 % (1608944)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=862095895:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.71/0.74 % (1608937)Instruction limit reached!
% 1.71/0.74 % (1608937)------------------------------
% 1.71/0.74 % (1608937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (1608937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (1608937)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608937)Termination reason: Instruction limit
% 2.24/0.83 % (1608937)Termination phase: Property scanning
% 2.24/0.83 % (1608937)Time elapsed: 0.031 s
% 2.24/0.83 % (1608937)Peak memory usage: 10 MB
% 2.24/0.83 % (1608937)Instructions burned: 39 (million)
% 2.24/0.83 % (1608946)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3145897643:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.24/0.83 % (1608940)Instruction limit reached!
% 2.24/0.83 % (1608940)------------------------------
% 2.24/0.83 % (1608940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.83 % (1608940)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608940)Termination reason: Instruction limit
% 2.24/0.83 % (1608940)Termination phase: shuffling
% 2.24/0.83 % (1608940)Time elapsed: 0.021 s
% 2.24/0.83 % (1608940)Peak memory usage: 10 MB
% 2.24/0.83 % (1608940)Instructions burned: 26 (million)
% 2.24/0.83 % (1608944)Instruction limit reached!
% 2.24/0.83 % (1608944)------------------------------
% 2.24/0.83 % (1608944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.83 % (1608944)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608944)Termination reason: Instruction limit
% 2.24/0.83 % (1608944)Termination phase: shuffling
% 2.24/0.83 % (1608944)Time elapsed: 0.012 s
% 2.24/0.83 % (1608944)Peak memory usage: 10 MB
% 2.24/0.83 % (1608944)Instructions burned: 15 (million)
% 2.24/0.83 % (1608949)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3404245613:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.24/0.83 % (1608949)Instruction limit reached!
% 2.24/0.83 % (1608949)------------------------------
% 2.24/0.83 % (1608949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.83 % (1608949)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608949)Termination reason: Instruction limit
% 2.24/0.83 % (1608949)Termination phase: shuffling
% 2.24/0.83 % (1608949)Time elapsed: 0.006 s
% 2.24/0.83 % (1608949)Peak memory usage: 10 MB
% 2.24/0.83 % (1608949)Instructions burned: 14 (million)
% 2.24/0.83 % (1608952)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=284541375:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.24/0.83 % (1608952)Instruction limit reached!
% 2.24/0.83 % (1608952)------------------------------
% 2.24/0.83 % (1608952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.83 % (1608952)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608952)Termination reason: Instruction limit
% 2.24/0.83 % (1608952)Termination phase: shuffling
% 2.24/0.83 % (1608952)Time elapsed: 0.003 s
% 2.24/0.83 % (1608952)Peak memory usage: 10 MB
% 2.24/0.83 % (1608952)Instructions burned: 2 (million)
% 2.24/0.83 % (1608956)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=986683071:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.24/0.83 % (1608954)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1909589918:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.24/0.83 % (1608953)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3119951341:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.24/0.83 % (1608932)Instruction limit reached!
% 2.24/0.83 % (1608932)------------------------------
% 2.24/0.83 % (1608932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.83 % (1608932)CaDiCaL version: 2.1.3
% 2.24/0.83 % (1608932)Termination reason: Instruction limit
% 2.24/0.83 % (1608932)Termination phase: Function definition elimination
% 2.24/0.83 % (1608932)Time elapsed: 0.069 s
% 2.24/0.83 % (1608932)Peak memory usage: 11 MB
% 2.24/0.83 % (1608932)Instructions burned: 87 (million)
% 2.24/0.83 % (1608954)Instruction limit reached!
% 2.24/0.83 % (1608954)------------------------------
% 2.24/0.83 % (1608954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.83 % (1608954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608954)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608954)Termination reason: Instruction limit
% 2.71/0.93 % (1608954)Termination phase: shuffling
% 2.71/0.93 % (1608954)Time elapsed: 0.018 s
% 2.71/0.93 % (1608954)Peak memory usage: 10 MB
% 2.71/0.93 % (1608954)Instructions burned: 23 (million)
% 2.71/0.93 % (1608953)Instruction limit reached!
% 2.71/0.93 % (1608953)------------------------------
% 2.71/0.93 % (1608953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.93 % (1608953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608953)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608953)Termination reason: Instruction limit
% 2.71/0.93 % (1608953)Termination phase: shuffling
% 2.71/0.93 % (1608953)Time elapsed: 0.021 s
% 2.71/0.93 % (1608953)Peak memory usage: 10 MB
% 2.71/0.93 % (1608953)Instructions burned: 26 (million)
% 2.71/0.93 % (1608956)Instruction limit reached!
% 2.71/0.93 % (1608956)------------------------------
% 2.71/0.93 % (1608956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.93 % (1608956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608956)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608956)Termination reason: Instruction limit
% 2.71/0.93 % (1608956)Termination phase: Property scanning
% 2.71/0.93 % (1608956)Time elapsed: 0.026 s
% 2.71/0.93 % (1608956)Peak memory usage: 11 MB
% 2.71/0.93 % (1608956)Instructions burned: 60 (million)
% 2.71/0.93 % (1608959)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
% 2.71/0.93 % (1608959)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.71/0.93 % (1608962)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.71/0.93 % (1608959)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=528959191:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.71/0.93 % (1608962)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=4087595725:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.71/0.93 % (1608965)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2101033321:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.71/0.93 % (1608962)Instruction limit reached!
% 2.71/0.93 % (1608962)------------------------------
% 2.71/0.93 % (1608962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.93 % (1608962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608962)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608962)Termination reason: Instruction limit
% 2.71/0.93 % (1608962)Termination phase: shuffling
% 2.71/0.93 % (1608962)Time elapsed: 0.007 s
% 2.71/0.93 % (1608962)Peak memory usage: 10 MB
% 2.71/0.93 % (1608962)Instructions burned: 8 (million)
% 2.71/0.93 % (1608959)Instruction limit reached!
% 2.71/0.93 % (1608959)------------------------------
% 2.71/0.93 % (1608959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.93 % (1608959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608959)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608959)Termination reason: Instruction limit
% 2.71/0.93 % (1608959)Termination phase: shuffling
% 2.71/0.93 % (1608959)Time elapsed: 0.013 s
% 2.71/0.93 % (1608959)Peak memory usage: 10 MB
% 2.71/0.93 % (1608959)Instructions burned: 14 (million)
% 2.71/0.93 % (1608963)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=4157402703:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.71/0.93 % (1608965)Instruction limit reached!
% 2.71/0.93 % (1608965)------------------------------
% 2.71/0.93 % (1608965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.93 % (1608965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.93 % (1608965)CaDiCaL version: 2.1.3
% 2.71/0.93 % (1608965)Termination reason: Instruction limit
% 4.56/1.09 % (1608965)Termination phase: shuffling
% 4.56/1.09 % (1608965)Time elapsed: 0.011 s
% 4.56/1.09 % (1608965)Peak memory usage: 10 MB
% 4.56/1.09 % (1608965)Instructions burned: 25 (million)
% 4.56/1.09 % (1608964)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1743495335:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 4.56/1.09 % (1608964)Instruction limit reached!
% 4.56/1.09 % (1608964)------------------------------
% 4.56/1.09 % (1608964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09 % (1608964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09 % (1608964)CaDiCaL version: 2.1.3
% 4.56/1.09 % (1608964)Termination reason: Instruction limit
% 4.56/1.09 % (1608964)Termination phase: shuffling
% 4.56/1.09 % (1608964)Time elapsed: 0.006 s
% 4.56/1.09 % (1608964)Peak memory usage: 10 MB
% 4.56/1.09 % (1608964)Instructions burned: 7 (million)
% 4.56/1.09 % (1608972)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1710163764:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 4.56/1.09 % (1608963)Instruction limit reached!
% 4.56/1.09 % (1608963)------------------------------
% 4.56/1.09 % (1608963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09 % (1608963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09 % (1608969)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=721134848:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 4.56/1.09 % (1608963)CaDiCaL version: 2.1.3
% 4.56/1.09 % (1608963)Termination reason: Instruction limit
% 4.56/1.09 % (1608963)Termination phase: Property scanning
% 4.56/1.09 % (1608963)Time elapsed: 0.026 s
% 4.56/1.09 % (1608963)Peak memory usage: 10 MB
% 4.56/1.09 % (1608963)Instructions burned: 32 (million)
% 4.56/1.09 % (1608971)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=711312515:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 4.56/1.09 % (1608974)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1974887617:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 4.56/1.09 % (1608969)Instruction limit reached!
% 4.56/1.09 % (1608969)------------------------------
% 4.56/1.09 % (1608969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09 % (1608969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09 % (1608969)CaDiCaL version: 2.1.3
% 4.56/1.09 % (1608969)Termination reason: Instruction limit
% 4.56/1.09 % (1608969)Termination phase: shuffling
% 4.56/1.09 % (1608969)Time elapsed: 0.017 s
% 4.56/1.09 % (1608969)Peak memory usage: 10 MB
% 4.56/1.09 % (1608969)Instructions burned: 21 (million)
% 4.56/1.09 % (1608977)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=797048566:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 4.56/1.09 % (1608972)Instruction limit reached!
% 4.56/1.09 % (1608972)------------------------------
% 4.56/1.09 % (1608972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09 % (1608972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09 % (1608972)CaDiCaL version: 2.1.3
% 4.56/1.09 % (1608972)Termination reason: Instruction limit
% 4.56/1.09 % (1608972)Termination phase: Function definition elimination
% 4.56/1.09 % (1608972)Time elapsed: 0.053 s
% 4.56/1.09 % (1608972)Peak memory usage: 11 MB
% 4.56/1.09 % (1608972)Instructions burned: 145 (million)
% 4.56/1.09 % (1608980)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.56/1.09 % (1608980)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1082904618:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 4.56/1.09 % (1608980)Instruction limit reached!
% 4.56/1.09 % (1608980)------------------------------
% 4.56/1.09 % (1608980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09 % (1608980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09 % (1608980)CaDiCaL version: 2.1.3
% 4.56/1.09 % (1608980)Termination reason: Instruction limit
% 4.56/1.09 % (1608980)Termination phase: shuffling
% 4.56/1.09 % (1608980)Time elapsed: 0.006 s
% 4.56/1.09 % (1608980)Peak memory usage: 10 MB
% 4.56/1.18 % (1608980)Instructions burned: 7 (million)
% 4.56/1.18 % (1608982)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2579627347:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 4.56/1.18 % (1608977)Instruction limit reached!
% 4.56/1.18 % (1608977)------------------------------
% 4.56/1.18 % (1608977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.18 % (1608977)CaDiCaL version: 2.1.3
% 4.56/1.18 % (1608977)Termination reason: Instruction limit
% 4.56/1.18 % (1608977)Termination phase: Property scanning
% 4.56/1.18 % (1608977)Time elapsed: 0.033 s
% 4.56/1.18 % (1608977)Peak memory usage: 10 MB
% 4.56/1.18 % (1608977)Instructions burned: 43 (million)
% 4.56/1.18 % (1608984)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=3433709472: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)
% 4.56/1.18 % (1608986)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.56/1.18 % (1608986)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=806347108:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 4.56/1.18 % (1608986)Instruction limit reached!
% 4.56/1.18 % (1608986)------------------------------
% 4.56/1.18 % (1608986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.18 % (1608986)CaDiCaL version: 2.1.3
% 4.56/1.18 % (1608986)Termination reason: Instruction limit
% 4.56/1.18 % (1608986)Termination phase: shuffling
% 4.56/1.18 % (1608986)Time elapsed: 0.005 s
% 4.56/1.18 % (1608986)Peak memory usage: 10 MB
% 4.56/1.18 % (1608986)Instructions burned: 6 (million)
% 4.56/1.18 % (1608974)Refutation not found, incomplete strategy
% 4.56/1.18 % (1608974)------------------------------
% 4.56/1.18 % (1608974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.18 % (1608974)CaDiCaL version: 2.1.3
% 4.56/1.18 % (1608974)Termination reason: Refutation not found, incomplete strategy
% 4.56/1.18 % (1608974)Time elapsed: 0.096 s
% 4.56/1.18 % (1608974)Peak memory usage: 13 MB
% 4.56/1.18 % (1608974)Instructions burned: 118 (million)
% 4.56/1.18 % (1608974)------------------------------
% 4.56/1.18 % (1608974)------------------------------
% 4.56/1.18 % (1608946)Instruction limit reached!
% 4.56/1.18 % (1608946)------------------------------
% 4.56/1.18 % (1608946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.18 % (1608946)CaDiCaL version: 2.1.3
% 4.56/1.18 % (1608946)Termination reason: Instruction limit
% 4.56/1.18 % (1608946)Termination phase: Saturation
% 4.56/1.18 % (1608946)Time elapsed: 0.254 s
% 4.56/1.18 % (1608946)Peak memory usage: 14 MB
% 4.56/1.18 % (1608946)Instructions burned: 328 (million)
% 4.56/1.18 % (1608989)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=622552661:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.56/1.18 % (1608982)Instruction limit reached!
% 4.56/1.18 % (1608982)------------------------------
% 4.56/1.18 % (1608982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.18 % (1608982)CaDiCaL version: 2.1.3
% 4.56/1.18 % (1608982)Termination reason: Instruction limit
% 4.56/1.18 % (1608982)Termination phase: Saturation
% 4.56/1.18 % (1608982)Time elapsed: 0.081 s
% 4.56/1.18 % (1608982)Peak memory usage: 14 MB
% 4.56/1.18 % (1608982)Instructions burned: 181 (million)
% 4.56/1.18 % (1608990)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3356535761:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.56/1.18 % (1608989)Instruction limit reached!
% 4.56/1.18 % (1608989)------------------------------
% 4.56/1.18 % (1608989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.18 % (1608989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.34 % (1608989)CaDiCaL version: 2.1.3
% 5.63/1.34 % (1608989)Termination reason: Instruction limit
% 5.63/1.34 % (1608989)Termination phase: shuffling
% 5.63/1.34 % (1608989)Time elapsed: 0.018 s
% 5.63/1.34 % (1608989)Peak memory usage: 10 MB
% 5.63/1.34 % (1608989)Instructions burned: 22 (million)
% 5.63/1.34 % (1608990)Instruction limit reached!
% 5.63/1.34 % (1608990)------------------------------
% 5.63/1.34 % (1608990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.34 % (1608990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.34 % (1608990)CaDiCaL version: 2.1.3
% 5.63/1.34 % (1608990)Termination reason: Instruction limit
% 5.63/1.34 % (1608990)Termination phase: shuffling
% 5.63/1.34 % (1608990)Time elapsed: 0.016 s
% 5.63/1.34 % (1608990)Peak memory usage: 10 MB
% 5.63/1.34 % (1608990)Instructions burned: 19 (million)
% 5.63/1.34 % (1608993)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=3965658978:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.63/1.34 % (1608991)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=349799602:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.63/1.34 % (1608995)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=482825464: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)
% 5.63/1.34 % (1608997)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3800502476:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.63/1.34 % (1608995)Instruction limit reached!
% 5.63/1.34 % (1608995)------------------------------
% 5.63/1.34 % (1608995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.34 % (1608995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.34 % (1608995)CaDiCaL version: 2.1.3
% 5.63/1.34 % (1608995)Termination reason: Instruction limit
% 5.63/1.34 % (1608995)Termination phase: shuffling
% 5.63/1.34 % (1608995)Time elapsed: 0.035 s
% 5.63/1.34 % (1608995)Peak memory usage: 10 MB
% 5.63/1.34 % (1608995)Instructions burned: 45 (million)
% 5.63/1.34 % (1608984)Instruction limit reached!
% 5.63/1.34 % (1608984)------------------------------
% 5.63/1.34 % (1608984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.34 % (1608984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.34 % (1608984)CaDiCaL version: 2.1.3
% 5.63/1.34 % (1608984)Termination reason: Instruction limit
% 5.63/1.34 % (1608984)Termination phase: Saturation
% 5.63/1.34 % (1608984)Time elapsed: 0.136 s
% 5.63/1.34 % (1608984)Peak memory usage: 14 MB
% 5.63/1.34 % (1608984)Instructions burned: 169 (million)
% 5.63/1.34 % (1609002)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.63/1.34 % (1609002)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3806761708:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.63/1.34 % (1609001)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1050083700:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.63/1.34 % (1608997)Refutation not found, incomplete strategy
% 5.63/1.34 % (1608997)------------------------------
% 5.63/1.34 % (1608997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.34 % (1608997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.34 % (1608997)CaDiCaL version: 2.1.3
% 5.63/1.34 % (1608997)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.34 % (1608997)Time elapsed: 0.102 s
% 5.63/1.34 % (1608997)Peak memory usage: 14 MB
% 5.63/1.34 % (1608997)Instructions burned: 125 (million)
% 5.63/1.34 % (1608997)------------------------------
% 5.63/1.34 % (1608997)------------------------------
% 5.63/1.34 % (1609001)Instruction limit reached!
% 5.63/1.34 % (1609001)------------------------------
% 5.63/1.34 % (1609001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1609001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1609001)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1609001)Termination reason: Instruction limit
% 6.32/1.49 % (1609001)Termination phase: shuffling
% 6.32/1.49 % (1609001)Time elapsed: 0.020 s
% 6.32/1.49 % (1609001)Peak memory usage: 10 MB
% 6.32/1.49 % (1609001)Instructions burned: 22 (million)
% 6.32/1.49 % (1608914)Instruction limit reached!
% 6.32/1.49 % (1608914)------------------------------
% 6.32/1.49 % (1608914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1608914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1608914)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1608914)Termination reason: Instruction limit
% 6.32/1.49 % (1608914)Termination phase: Saturation
% 6.32/1.49 % (1608914)Time elapsed: 0.578 s
% 6.32/1.49 % (1608914)Peak memory usage: 17 MB
% 6.32/1.49 % (1608914)Instructions burned: 635 (million)
% 6.32/1.49 % (1609005)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=477303363:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 6.32/1.49 % (1609005)Instruction limit reached!
% 6.32/1.49 % (1609005)------------------------------
% 6.32/1.49 % (1609005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1609005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1609005)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1609005)Termination reason: Instruction limit
% 6.32/1.49 % (1609005)Termination phase: shuffling
% 6.32/1.49 % (1609005)Time elapsed: 0.012 s
% 6.32/1.49 % (1609005)Peak memory usage: 10 MB
% 6.32/1.49 % (1609005)Instructions burned: 14 (million)
% 6.32/1.49 % (1609006)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=2605649034:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 6.32/1.49 % (1609007)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3087981478:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.32/1.49 % (1608991)Instruction limit reached!
% 6.32/1.49 % (1608991)------------------------------
% 6.32/1.49 % (1608991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1608991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1608991)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1608991)Termination reason: Instruction limit
% 6.32/1.49 % (1608991)Termination phase: Function definition elimination
% 6.32/1.49 % (1608991)Time elapsed: 0.207 s
% 6.32/1.49 % (1608991)Peak memory usage: 11 MB
% 6.32/1.49 % (1608991)Instructions burned: 317 (million)
% 6.32/1.49 % (1609009)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3956104260:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.32/1.49 % (1609007)Instruction limit reached!
% 6.32/1.49 % (1609007)------------------------------
% 6.32/1.49 % (1609007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1609007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1609007)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1609007)Termination reason: Instruction limit
% 6.32/1.49 % (1609007)Termination phase: Unused predicate definition removal
% 6.32/1.49 % (1609007)Time elapsed: 0.044 s
% 6.32/1.49 % (1609007)Peak memory usage: 10 MB
% 6.32/1.49 % (1609007)Instructions burned: 51 (million)
% 6.32/1.49 % (1609002)Instruction limit reached!
% 6.32/1.49 % (1609002)------------------------------
% 6.32/1.49 % (1609002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.49 % (1609002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.49 % (1609002)CaDiCaL version: 2.1.3
% 6.32/1.49 % (1609002)Termination reason: Instruction limit
% 6.32/1.49 % (1609002)Termination phase: Function definition elimination
% 6.32/1.49 % (1609002)Time elapsed: 0.135 s
% 6.32/1.49 % (1609002)Peak memory usage: 11 MB
% 6.32/1.49 % (1609002)Instructions burned: 201 (million)
% 6.32/1.49 % (1609012)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=615167623:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.32/1.49 % (1609006)Instruction limit reached!
% 6.32/1.49 % (1609006)------------------------------
% 6.32/1.49 % (1609006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609006)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609006)Termination reason: Instruction limit
% 6.88/1.56 % (1609006)Termination phase: Preprocessing 1
% 6.88/1.56 % (1609006)Time elapsed: 0.055 s
% 6.88/1.56 % (1609006)Peak memory usage: 11 MB
% 6.88/1.56 % (1609006)Instructions burned: 66 (million)
% 6.88/1.56 % (1609009)Instruction limit reached!
% 6.88/1.56 % (1609009)------------------------------
% 6.88/1.56 % (1609009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609009)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609009)Termination reason: Instruction limit
% 6.88/1.56 % (1609009)Termination phase: Property scanning
% 6.88/1.56 % (1609009)Time elapsed: 0.027 s
% 6.88/1.56 % (1609009)Peak memory usage: 10 MB
% 6.88/1.56 % (1609009)Instructions burned: 32 (million)
% 6.88/1.56 % (1609015)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4210431009:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 6.88/1.56 % (1609014)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=2144283999:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.88/1.56 % (1609017)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.88/1.56 % (1609018)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1507996067:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 6.88/1.56 % (1609017)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=616151690:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 6.88/1.56 % (1609014)Instruction limit reached!
% 6.88/1.56 % (1609014)------------------------------
% 6.88/1.56 % (1609014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609014)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609014)Termination reason: Instruction limit
% 6.88/1.56 % (1609014)Termination phase: Property scanning
% 6.88/1.56 % (1609014)Time elapsed: 0.030 s
% 6.88/1.56 % (1609014)Peak memory usage: 10 MB
% 6.88/1.56 % (1609014)Instructions burned: 35 (million)
% 6.88/1.56 % (1609015)Instruction limit reached!
% 6.88/1.56 % (1609015)------------------------------
% 6.88/1.56 % (1609015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609015)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609015)Termination reason: Instruction limit
% 6.88/1.56 % (1609015)Termination phase: Property scanning
% 6.88/1.56 % (1609015)Time elapsed: 0.054 s
% 6.88/1.56 % (1609015)Peak memory usage: 11 MB
% 6.88/1.56 % (1609015)Instructions burned: 67 (million)
% 6.88/1.56 % (1609023)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3667956896:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 6.88/1.56 % (1609012)Instruction limit reached!
% 6.88/1.56 % (1609012)------------------------------
% 6.88/1.56 % (1609012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609012)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609012)Termination reason: Instruction limit
% 6.88/1.56 % (1609012)Termination phase: Saturation
% 6.88/1.56 % (1609012)Time elapsed: 0.116 s
% 6.88/1.56 % (1609012)Peak memory usage: 13 MB
% 6.88/1.56 % (1609012)Instructions burned: 137 (million)
% 6.88/1.56 % (1609024)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=624454912:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 6.88/1.56 % (1608993)Instruction limit reached!
% 6.88/1.56 % (1608993)------------------------------
% 6.88/1.56 % (1608993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1608993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1608993)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1608993)Termination reason: Instruction limit
% 6.88/1.56 % (1608993)Termination phase: Saturation
% 6.88/1.56 % (1608993)Time elapsed: 0.408 s
% 6.88/1.56 % (1608993)Peak memory usage: 17 MB
% 6.88/1.56 % (1608993)Instructions burned: 854 (million)
% 6.88/1.56 % (1609027)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3954894128:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 6.88/1.56 % (1609017)Instruction limit reached!
% 6.88/1.56 % (1609017)------------------------------
% 6.88/1.56 % (1609017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609017)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609017)Termination reason: Instruction limit
% 6.88/1.56 % (1609017)Termination phase: Function definition elimination
% 6.88/1.56 % (1609017)Time elapsed: 0.128 s
% 6.88/1.56 % (1609017)Peak memory usage: 11 MB
% 6.88/1.56 % (1609017)Instructions burned: 181 (million)
% 6.88/1.56 % (1609024)Refutation not found, incomplete strategy
% 6.88/1.56 % (1609024)------------------------------
% 6.88/1.56 % (1609024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609024)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609024)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.56 % (1609024)Time elapsed: 0.053 s
% 6.88/1.56 % (1609024)Peak memory usage: 13 MB
% 6.88/1.56 % (1609024)Instructions burned: 65 (million)
% 6.88/1.56 % (1609023)Instruction limit reached!
% 6.88/1.56 % (1609023)------------------------------
% 6.88/1.56 % (1609023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609023)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609023)Termination reason: Instruction limit
% 6.88/1.56 % (1609023)Termination phase: Function definition elimination
% 6.88/1.56 % (1609023)Time elapsed: 0.077 s
% 6.88/1.56 % (1609023)Peak memory usage: 11 MB
% 6.88/1.56 % (1609023)Instructions burned: 97 (million)
% 6.88/1.56 % (1609024)------------------------------
% 6.88/1.56 % (1609024)------------------------------
% 6.88/1.56 % (1609028)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1952563728:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/515Mi)
% 6.88/1.56 % (1609030)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2349918991:st=1.5:i=130:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.88/1.56 % (1609031)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2331210754:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 6.88/1.56 % (1609032)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=592263723:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 6.88/1.56 % (1609031)Instruction limit reached!
% 6.88/1.56 % (1609031)------------------------------
% 6.88/1.56 % (1609031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609031)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609031)Termination reason: Instruction limit
% 6.88/1.56 % (1609031)Termination phase: Property scanning
% 6.88/1.56 % (1609031)Time elapsed: 0.037 s
% 6.88/1.56 % (1609031)Peak memory usage: 10 MB
% 6.88/1.56 % (1609031)Instructions burned: 44 (million)
% 6.88/1.56 % (1609018)Instruction limit reached!
% 6.88/1.56 % (1609018)------------------------------
% 6.88/1.56 % (1609018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609018)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609018)Termination reason: Instruction limit
% 6.88/1.56 % (1609018)Termination phase: Saturation
% 6.88/1.56 % (1609018)Time elapsed: 0.213 s
% 6.88/1.56 % (1609018)Peak memory usage: 14 MB
% 6.88/1.56 % (1609018)Instructions burned: 247 (million)
% 6.88/1.56 % (1609037)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2803387693:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 6.88/1.56 % (1609038)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=444638877:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 6.88/1.56 % (1609030)Instruction limit reached!
% 6.88/1.56 % (1609030)------------------------------
% 6.88/1.56 % (1609030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609030)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609030)Termination reason: Instruction limit
% 6.88/1.56 % (1609030)Termination phase: Saturation
% 6.88/1.56 % (1609030)Time elapsed: 0.110 s
% 6.88/1.56 % (1609030)Peak memory usage: 13 MB
% 6.88/1.56 % (1609030)Instructions burned: 130 (million)
% 6.88/1.56 % (1609041)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=2623088476:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 6.88/1.56 % (1609038)Instruction limit reached!
% 6.88/1.56 % (1609038)------------------------------
% 6.88/1.56 % (1609038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.56 % (1609038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.56 % (1609038)CaDiCaL version: 2.1.3
% 6.88/1.56 % (1609038)Termination reason: Instruction limit
% 6.88/1.57 % (1609038)Termination phase: Function definition elimination
% 6.88/1.57 % (1609038)Time elapsed: 0.074 s
% 6.88/1.57 % (1609038)Peak memory usage: 11 MB
% 6.88/1.57 % (1609038)Instructions burned: 96 (million)
% 6.88/1.57 % (1609028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1608906-1609028"...
% 6.88/1.57 % (1609028)...printing done.
% 6.88/1.57 % (1609028)Refutation found. Thanks to Tanya!
% 6.88/1.57 % SZS status Theorem for theBenchmark
% 6.88/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 6.88/1.57 % (1609028)------------------------------
% 6.88/1.57 % (1609028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.57 % (1609028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.57 % (1609028)CaDiCaL version: 2.1.3
% 6.88/1.57 % (1609028)Termination reason: Refutation
% 6.88/1.57 % (1609028)Time elapsed: 0.196 s
% 6.88/1.57 % (1609028)Peak memory usage: 17 MB
% 6.88/1.57 % (1609028)Instructions burned: 456 (million)
% 6.88/1.57 % (1608906)Success in time 1.127 s
% 6.88/1.57 % Vampire exiting
%------------------------------------------------------------------------------