%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM684^4 : 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 : n019.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 08:18:32 AM UTC 2026
% Result : Theorem 8.59s 1.73s
% Output : Refutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 8
% Syntax : Number of formulae : 121 ( 60 unt; 0 typ; 0 def)
% Number of atoms : 1283 ( 317 equ; 0 cnn)
% Maximal formula atoms : 11 ( 10 avg)
% Number of connectives : 1541 ( 27 ~; 118 |; 0 &;1209 @)
% ( 0 <=>; 129 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 155 ( 151 usr; 8 con; 0-7 aty)
% ( 58 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 361 ( 280 ^; 81 !; 0 ?; 361 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_135,type,
vIMP: $o > $o > $o ).
thf(func_def_136,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_138,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_144,type,
vAND: $o > $o > $o ).
thf(func_def_145,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_146,type,
vOR: $o > $o > $o ).
thf(func_def_147,type,
vNOT: $o > $o ).
thf(func_def_148,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
vIFF: $o > $o > $o ).
thf(func_def_150,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
sK4: ( $i > $o ) > $i ).
thf(func_def_156,type,
sK5: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f91,axiom,
( ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) )
= e_is ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f197,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6) ).
thf(f202,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) )
=> ( n_is @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz8a) ).
thf(f239,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ X0 @ X1 )
=> ( n_is @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19b) ).
thf(f256,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ ( n_pl @ X2 @ X0 ) @ ( n_pl @ X2 @ X1 ) )
=> ( n_is @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz20e) ).
thf(f257,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ ( n_pl @ X2 @ X0 ) @ ( n_pl @ X2 @ X1 ) )
=> ( n_is @ X0 @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f256]) ).
thf(f303,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f362,plain,
( n_is
= ( e_is @ nat ) ),
inference(fool_elimination,[],[f157]) ).
thf(f439,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] : ( n_is @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f197]) ).
thf(f440,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f439]) ).
thf(f500,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f552,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X5: $i] :
( ( n_is @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X1 @ X5 ) )
=> ( n_is @ X3 @ X5 ) ) ) ) ),
inference(rectify,[],[f202]) ).
thf(f553,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y0 @ Y2 ) )
=> ( n_is @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f552]) ).
thf(f651,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X5: $i] :
( ( n_is @ X1 @ X3 )
=> ( n_is @ ( n_pl @ X1 @ X5 ) @ ( n_pl @ X3 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f239]) ).
thf(f652,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ Y0 @ Y1 )
=> ( n_is @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f651]) ).
thf(f656,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f657,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f656]) ).
thf(f689,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X5: $i] :
( ( n_is @ ( n_pl @ X5 @ X1 ) @ ( n_pl @ X5 @ X3 ) )
=> ( n_is @ X1 @ X3 ) ) ) ) ),
inference(rectify,[],[f257]) ).
thf(f690,plain,
( $true
= ( ~ ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y2 @ Y0 ) @ ( n_pl @ Y2 @ Y1 ) )
=> ( n_is @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f689]) ).
thf(f697,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f440]) ).
thf(f702,plain,
( $true
= ( ~ ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y2 @ Y0 ) @ ( n_pl @ Y2 @ Y1 ) )
=> ( n_is @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f690]) ).
thf(f704,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f303]) ).
thf(f715,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ Y0 @ Y1 )
=> ( n_is @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f652]) ).
thf(f717,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f362]) ).
thf(f720,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y0 @ Y2 ) )
=> ( n_is @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f553]) ).
thf(f732,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f500]) ).
thf(f740,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f657]) ).
thf(f747,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,[],[f740,f704]) ).
thf(f748,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f717,f732]) ).
thf(f752,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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ ( n_pl @ Y0 @ Y1 )
@ ( n_pl @ Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f697,f747,f747,f748]) ).
thf(f756,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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ ( n_pl @ Y2 @ Y0 )
@ ( n_pl @ Y2 @ Y1 ) )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y0
@ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f702,f747,f747,f747,f748,f748]) ).
thf(f765,plain,
( ( ^ [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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y0
@ Y1 )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ ( n_pl @ Y0 @ Y2 )
@ ( n_pl @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f715,f747,f747,f747,f748,f748]) ).
thf(f768,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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ ( n_pl @ Y0 @ Y1 )
@ ( n_pl @ Y0 @ Y2 ) )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y1
@ Y2 ) ) ) ) ) ),
inference(definition_unfolding,[],[f720,f747,f747,f747,f748,f748]) ).
thf(f779,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0 = Y1 )
=> ( ( n_pl @ Y0 @ Y2 )
= ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f765]) ).
thf(f793,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f752]) ).
thf(f796,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y2 @ Y0 )
= ( n_pl @ Y2 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f756]) ).
thf(f809,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f768]) ).
thf(f812,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y2 @ Y0 )
= ( n_pl @ Y2 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f796]) ).
thf(f821,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y2 @ Y0 )
= ( n_pl @ Y2 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f812]) ).
thf(f823,plain,
( $false
= ( ( in @ sK0 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ Y1 @ sK0 )
= ( n_pl @ Y1 @ Y0 ) )
=> ( sK0 = Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f821]) ).
thf(f825,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ Y1 @ sK0 )
= ( n_pl @ Y1 @ Y0 ) )
=> ( sK0 = Y0 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f823]) ).
thf(f826,plain,
( $true
= ( in @ sK0 @ nat ) ),
inference(imp_proxy_clausification,[],[f823]) ).
thf(f829,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ Y1 @ sK0 )
= ( n_pl @ Y1 @ Y0 ) )
=> ( sK0 = Y0 ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f825]) ).
thf(f832,plain,
( $false
= ( ( in @ sK1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ Y0 @ sK0 )
= ( n_pl @ Y0 @ sK1 ) )
=> ( sK0 = sK1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f829]) ).
thf(f833,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ Y0 @ sK0 )
= ( n_pl @ Y0 @ sK1 ) )
=> ( sK0 = sK1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f832]) ).
thf(f834,plain,
( $true
= ( in @ sK1 @ nat ) ),
inference(imp_proxy_clausification,[],[f832]) ).
thf(f841,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ Y0 @ sK0 )
= ( n_pl @ Y0 @ sK1 ) )
=> ( sK0 = sK1 ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f833]) ).
thf(f844,plain,
( $false
= ( ( in @ sK2 @ nat )
=> ( ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK2 @ sK1 ) )
=> ( sK0 = sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f841]) ).
thf(f845,plain,
( ( ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK2 @ sK1 ) )
=> ( sK0 = sK1 ) )
= $false ),
inference(imp_proxy_clausification,[],[f844]) ).
thf(f846,plain,
( $true
= ( in @ sK2 @ nat ) ),
inference(imp_proxy_clausification,[],[f844]) ).
thf(f847,plain,
( $false
= ( sK0 = sK1 ) ),
inference(imp_proxy_clausification,[],[f845]) ).
thf(f848,plain,
( $true
= ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK2 @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f845]) ).
thf(f849,plain,
( ( n_pl @ sK2 @ sK1 )
= ( n_pl @ sK2 @ sK0 ) ),
inference(equality_proxy_clausification,[],[f848]) ).
thf(f850,plain,
sK0 != sK1,
inference(equality_proxy_clausification,[],[f847]) ).
thf(f1056,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y1 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f793]) ).
thf(f1057,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1056]) ).
thf(f1058,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ Y0 @ X1 ) ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1057]) ).
thf(f1059,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ Y0 @ X1 ) ) )
@ X2 )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1058]) ).
thf(f1060,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ X2 @ nat )
=> ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X2 @ X1 ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1059]) ).
thf(f1061,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X2 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f1060]) ).
thf(f1062,plain,
! [X2: $i,X1: $i] :
( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X2 @ X1 ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1061]) ).
thf(f1068,plain,
( ( $false
= ( in @ sK1 @ nat ) )
| ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK1 @ sK2 ) )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(superposition,[],[f1062,f849]) ).
thf(f1089,plain,
( ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK1 @ sK2 ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f1068,f834]) ).
thf(f1090,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK1 @ sK2 ) ) ),
inference(trivial_inequality_removal,[],[f1089]) ).
thf(f1101,plain,
( ( $false = $true )
| ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK1 @ sK2 ) ) ),
inference(forward_demodulation,[],[f1090,f846]) ).
thf(f1102,plain,
( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK1 @ sK2 ) ),
inference(trivial_inequality_removal,[],[f1101]) ).
thf(f1116,plain,
( ( ( n_pl @ sK1 @ sK2 )
= ( n_pl @ sK0 @ sK2 ) )
| ( $false
= ( in @ sK0 @ nat ) )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(superposition,[],[f1062,f1102]) ).
thf(f1119,plain,
( ( ( n_pl @ sK1 @ sK2 )
= ( n_pl @ sK0 @ sK2 ) )
| ( $false = $true )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(forward_demodulation,[],[f1116,f826]) ).
thf(f1120,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( n_pl @ sK1 @ sK2 )
= ( n_pl @ sK0 @ sK2 ) ) ),
inference(trivial_inequality_removal,[],[f1119]) ).
thf(f1129,plain,
( ( $false = $true )
| ( ( n_pl @ sK1 @ sK2 )
= ( n_pl @ sK0 @ sK2 ) ) ),
inference(forward_demodulation,[],[f1120,f846]) ).
thf(f1130,plain,
( ( n_pl @ sK1 @ sK2 )
= ( n_pl @ sK0 @ sK2 ) ),
inference(trivial_inequality_removal,[],[f1129]) ).
thf(f1893,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0 = Y1 )
=> ( ( n_pl @ Y0 @ Y2 )
= ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f779]) ).
thf(f1894,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1 = Y0 )
=> ( ( n_pl @ X1 @ Y1 )
= ( n_pl @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1893]) ).
thf(f1895,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1 = Y0 )
=> ( ( n_pl @ X1 @ Y1 )
= ( n_pl @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1894]) ).
thf(f1896,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1 = Y0 )
=> ( ( n_pl @ X1 @ Y1 )
= ( n_pl @ Y0 @ Y1 ) ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f1895]) ).
thf(f1897,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( in @ X2 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1 = X2 )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X2 @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1896]) ).
thf(f1898,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1 = X2 )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X2 @ Y0 ) ) ) ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1897]) ).
thf(f1899,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1 = X2 )
=> ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X2 @ Y0 ) ) ) )
@ X3 ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1898]) ).
thf(f1900,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X3 @ nat )
=> ( ( X1 = X2 )
=> ( ( n_pl @ X1 @ X3 )
= ( n_pl @ X2 @ X3 ) ) ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1899]) ).
thf(f1901,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ( X1 = X2 )
=> ( ( n_pl @ X1 @ X3 )
= ( n_pl @ X2 @ X3 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f1900]) ).
thf(f1902,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( X1 = X2 )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( n_pl @ X1 @ X3 )
= ( n_pl @ X2 @ X3 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f1901]) ).
thf(f1903,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ nat )
= $false )
| ( ( ( n_pl @ X1 @ X3 )
= ( n_pl @ X2 @ X3 ) )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( X1 != X2 )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1902]) ).
thf(f1904,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( n_pl @ X1 @ X3 )
= ( n_pl @ X2 @ X3 ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f1903]) ).
thf(f1971,plain,
! [X0: $i] :
( ( $false
= ( in @ sK1 @ nat ) )
| ( sK2 != X0 )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK2 @ sK0 ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ X0 @ nat )
= $false ) ),
inference(superposition,[],[f1904,f849]) ).
thf(f2047,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK2 @ sK0 ) )
| ( $false = $true )
| ( $false
= ( in @ sK2 @ nat ) )
| ( sK2 != X0 ) ),
inference(forward_demodulation,[],[f1971,f834]) ).
thf(f2048,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK2 @ sK0 ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( sK2 != X0 ) ),
inference(trivial_inequality_removal,[],[f2047]) ).
thf(f2094,plain,
! [X0: $i] :
( ( sK2 != X0 )
| ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK1 @ sK2 ) )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(forward_demodulation,[],[f2048,f1102]) ).
thf(f2120,plain,
! [X0: $i] :
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK0 @ sK2 ) )
| ( sK2 != X0 ) ),
inference(forward_demodulation,[],[f2094,f1130]) ).
thf(f2130,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK0 @ sK2 ) )
| ( sK2 != X0 )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f2120,f846]) ).
thf(f2131,plain,
! [X0: $i] :
( ( ( n_pl @ X0 @ sK1 )
= ( n_pl @ sK0 @ sK2 ) )
| ( ( in @ X0 @ nat )
= $false )
| ( sK2 != X0 ) ),
inference(trivial_inequality_removal,[],[f2130]) ).
thf(f2536,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f809]) ).
thf(f2537,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2536]) ).
thf(f2538,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2537]) ).
thf(f2599,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f2538]) ).
thf(f2600,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( in @ X2 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f2599]) ).
thf(f2601,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2600]) ).
thf(f2602,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) )
@ X3 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f2601]) ).
thf(f2603,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( in @ X3 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) )
=> ( X2 = X3 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f2602]) ).
thf(f2604,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) )
=> ( X2 = X3 ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2603]) ).
thf(f2605,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $false
= ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) ) )
| ( ( X2 = X3 )
= $true )
| ( ( in @ X3 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2604]) ).
thf(f2606,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( X2 = X3 )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( n_pl @ X1 @ X2 )
!= ( n_pl @ X1 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f2605]) ).
thf(f2607,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( n_pl @ X1 @ X2 )
!= ( n_pl @ X1 @ X3 ) )
| ( X2 = X3 )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f2606]) ).
thf(f2634,plain,
! [X0: $i] :
( ( $false
= ( in @ sK1 @ nat ) )
| ( ( n_pl @ sK2 @ sK0 )
!= ( n_pl @ sK2 @ X0 ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ X0 @ nat )
= $false )
| ( sK1 = X0 ) ),
inference(superposition,[],[f2607,f849]) ).
thf(f2670,plain,
! [X0: $i] :
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ sK2 @ sK0 )
!= ( n_pl @ sK2 @ X0 ) )
| ( sK1 = X0 )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f2634,f834]) ).
thf(f2671,plain,
! [X0: $i] :
( ( ( n_pl @ sK2 @ sK0 )
!= ( n_pl @ sK2 @ X0 ) )
| ( sK1 = X0 )
| ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ X0 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f2670]) ).
thf(f2682,plain,
! [X0: $i] :
( ( ( n_pl @ sK1 @ sK2 )
!= ( n_pl @ sK2 @ X0 ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( sK1 = X0 )
| ( ( in @ X0 @ nat )
= $false ) ),
inference(forward_demodulation,[],[f2671,f1102]) ).
thf(f2686,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ sK2 @ X0 )
!= ( n_pl @ sK0 @ sK2 ) )
| ( sK1 = X0 )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(forward_demodulation,[],[f2682,f1130]) ).
thf(f2687,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( n_pl @ sK2 @ X0 )
!= ( n_pl @ sK0 @ sK2 ) )
| ( sK1 = X0 )
| ( ( in @ X0 @ nat )
= $false ) ),
inference(forward_demodulation,[],[f2686,f846]) ).
thf(f2688,plain,
! [X0: $i] :
( ( ( n_pl @ sK2 @ X0 )
!= ( n_pl @ sK0 @ sK2 ) )
| ( ( in @ X0 @ nat )
= $false )
| ( sK1 = X0 ) ),
inference(trivial_inequality_removal,[],[f2687]) ).
thf(f2774,plain,
( ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK0 @ sK2 ) )
| ( sK2 != sK2 )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(superposition,[],[f2131,f849]) ).
thf(f2828,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK0 @ sK2 ) ) ),
inference(trivial_inequality_removal,[],[f2774]) ).
thf(f2873,plain,
( ( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK0 @ sK2 ) )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f2828,f846]) ).
thf(f2874,plain,
( ( n_pl @ sK2 @ sK0 )
= ( n_pl @ sK0 @ sK2 ) ),
inference(trivial_inequality_removal,[],[f2873]) ).
thf(f3240,plain,
( ( $false
= ( in @ sK0 @ nat ) )
| ( ( n_pl @ sK0 @ sK2 )
!= ( n_pl @ sK0 @ sK2 ) )
| ( sK0 = sK1 ) ),
inference(superposition,[],[f2688,f2874]) ).
thf(f3247,plain,
( ( $false
= ( in @ sK0 @ nat ) )
| ( sK0 = sK1 ) ),
inference(trivial_inequality_removal,[],[f3240]) ).
thf(f3253,plain,
( $false
= ( in @ sK0 @ nat ) ),
inference(forward_subsumption_resolution,[],[f3247,f850]) ).
thf(f3704,plain,
$false = $true,
inference(superposition,[],[f3253,f826]) ).
thf(f3708,plain,
$false,
inference(trivial_inequality_removal,[],[f3704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM684^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 12:38:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.26 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
% 0.63/0.39 % (696398)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.39 % (696407)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3956517263:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.39 % (696409)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.39 % (696409)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
% 0.63/0.39 % (696407)Instruction limit reached!
% 0.63/0.39 % (696407)------------------------------
% 0.63/0.39 % (696407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (696407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (696407)CaDiCaL version: 2.1.3
% 0.63/0.39 % (696407)Termination reason: Instruction limit
% 0.63/0.39 % (696407)Termination phase: Property scanning
% 0.63/0.39 % (696407)Time elapsed: 0.006 s
% 0.63/0.39 % (696407)Peak memory usage: 10 MB
% 0.63/0.39 % (696407)Instructions burned: 26 (million)
% 0.63/0.39 % (696405)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4021565640:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.39 % (696403)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4138302847:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.39 % (696404)lrs+10_16_si=on:nwc=1.5:random_seed=4070592557:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.39 % (696409)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=590344353:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.39 % (696406)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=3655620007: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)
% 0.63/0.39 % (696408)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2360736156:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.39 % (696405)Instruction limit reached!
% 0.63/0.39 % (696405)------------------------------
% 0.63/0.39 % (696405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (696405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (696405)CaDiCaL version: 2.1.3
% 0.63/0.39 % (696405)Termination reason: Instruction limit
% 0.63/0.39 % (696405)Termination phase: shuffling
% 0.63/0.39 % (696405)Time elapsed: 0.002 s
% 0.63/0.39 % (696405)Peak memory usage: 10 MB
% 0.63/0.39 % (696405)Instructions burned: 3 (million)
% 0.63/0.39 % (696404)Instruction limit reached!
% 0.63/0.39 % (696404)------------------------------
% 0.63/0.39 % (696404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (696404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (696404)CaDiCaL version: 2.1.3
% 0.63/0.39 % (696404)Termination reason: Instruction limit
% 0.63/0.39 % (696404)Termination phase: shuffling
% 0.63/0.39 % (696404)Time elapsed: 0.008 s
% 0.63/0.39 % (696404)Peak memory usage: 10 MB
% 0.63/0.39 % (696404)Instructions burned: 19 (million)
% 0.63/0.39 % (696411)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2711731609:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (696411)Instruction limit reached!
% 0.63/0.39 % (696411)------------------------------
% 0.63/0.39 % (696411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (696411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (696411)CaDiCaL version: 2.1.3
% 0.63/0.39 % (696411)Termination reason: Instruction limit
% 0.63/0.39 % (696411)Termination phase: shuffling
% 0.63/0.39 % (696411)Time elapsed: 0.001 s
% 0.63/0.39 % (696411)Peak memory usage: 10 MB
% 0.63/0.39 % (696411)Instructions burned: 3 (million)
% 0.63/0.39 % (696421)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3203199272:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.39 % (696418)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2677489862:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.42 % (696420)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42 % (696421)Instruction limit reached!
% 0.63/0.42 % (696421)------------------------------
% 0.63/0.42 % (696421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696421)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696421)Termination reason: Instruction limit
% 0.63/0.42 % (696421)Termination phase: shuffling
% 0.63/0.42 % (696421)Time elapsed: 0.003 s
% 0.63/0.42 % (696421)Peak memory usage: 10 MB
% 0.63/0.42 % (696421)Instructions burned: 13 (million)
% 0.63/0.42 % (696418)Instruction limit reached!
% 0.63/0.42 % (696418)------------------------------
% 0.63/0.42 % (696418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696418)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696418)Termination reason: Instruction limit
% 0.63/0.42 % (696418)Termination phase: shuffling
% 0.63/0.42 % (696418)Time elapsed: 0.003 s
% 0.63/0.42 % (696418)Peak memory usage: 10 MB
% 0.63/0.42 % (696418)Instructions burned: 6 (million)
% 0.63/0.42 % (696420)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2665938435:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.42 % (696420)Instruction limit reached!
% 0.63/0.42 % (696420)------------------------------
% 0.63/0.42 % (696420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696420)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696420)Termination reason: Instruction limit
% 0.63/0.42 % (696420)Termination phase: shuffling
% 0.63/0.42 % (696420)Time elapsed: 0.003 s
% 0.63/0.42 % (696420)Peak memory usage: 10 MB
% 0.63/0.42 % (696420)Instructions burned: 7 (million)
% 0.63/0.42 % (696424)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
% 0.63/0.42 % (696424)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42 % (696408)Instruction limit reached!
% 0.63/0.42 % (696408)------------------------------
% 0.63/0.42 % (696408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696408)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696408)Termination reason: Instruction limit
% 0.63/0.42 % (696408)Termination phase: Function definition elimination
% 0.63/0.42 % (696408)Time elapsed: 0.033 s
% 0.63/0.42 % (696408)Peak memory usage: 11 MB
% 0.63/0.42 % (696408)Instructions burned: 76 (million)
% 0.63/0.42 % (696424)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3065975383:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.42 % (696403)Instruction limit reached!
% 0.63/0.42 % (696403)------------------------------
% 0.63/0.42 % (696403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696403)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696403)Termination reason: Instruction limit
% 0.63/0.42 % (696403)Termination phase: Function definition elimination
% 0.63/0.42 % (696403)Time elapsed: 0.037 s
% 0.63/0.42 % (696403)Peak memory usage: 11 MB
% 0.63/0.42 % (696403)Instructions burned: 87 (million)
% 0.63/0.42 % (696424)Instruction limit reached!
% 0.63/0.42 % (696424)------------------------------
% 0.63/0.42 % (696424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (696424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (696424)CaDiCaL version: 2.1.3
% 0.63/0.42 % (696424)Termination reason: Instruction limit
% 0.63/0.42 % (696424)Termination phase: Property scanning
% 0.63/0.42 % (696424)Time elapsed: 0.007 s
% 0.63/0.45 % (696424)Peak memory usage: 10 MB
% 0.63/0.45 % (696424)Instructions burned: 28 (million)
% 0.63/0.45 % (696425)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=605650682:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.45 % (696427)lrs+10_1_si=on:cs=on:random_seed=1929083193:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.45 % (696429)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.45 % (696431)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=747564469:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.63/0.45 % (696429)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=2174077880:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.45 % (696427)Instruction limit reached!
% 0.63/0.45 % (696427)------------------------------
% 0.63/0.45 % (696427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (696427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (696427)CaDiCaL version: 2.1.3
% 0.63/0.45 % (696427)Termination reason: Instruction limit
% 0.63/0.45 % (696427)Termination phase: shuffling
% 0.63/0.45 % (696427)Time elapsed: 0.004 s
% 0.63/0.45 % (696427)Peak memory usage: 10 MB
% 0.63/0.45 % (696427)Instructions burned: 9 (million)
% 0.63/0.45 % (696429)Instruction limit reached!
% 0.63/0.45 % (696429)------------------------------
% 0.63/0.45 % (696429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (696429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (696429)CaDiCaL version: 2.1.3
% 0.63/0.45 % (696429)Termination reason: Instruction limit
% 0.63/0.45 % (696429)Termination phase: shuffling
% 0.63/0.45 % (696429)Time elapsed: 0.002 s
% 0.63/0.45 % (696429)Peak memory usage: 10 MB
% 0.63/0.45 % (696429)Instructions burned: 4 (million)
% 0.63/0.45 % (696430)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=634828481:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.45 % (696409)Instruction limit reached!
% 0.63/0.45 % (696409)------------------------------
% 0.63/0.45 % (696409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (696409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (696409)CaDiCaL version: 2.1.3
% 0.63/0.45 % (696409)Termination reason: Instruction limit
% 0.63/0.45 % (696409)Termination phase: Function definition elimination
% 0.63/0.45 % (696409)Time elapsed: 0.065 s
% 0.63/0.45 % (696409)Peak memory usage: 11 MB
% 0.63/0.45 % (696409)Instructions burned: 157 (million)
% 0.63/0.45 % (696431)Refutation not found, incomplete strategy
% 0.63/0.45 % (696431)------------------------------
% 0.63/0.45 % (696431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (696431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (696431)CaDiCaL version: 2.1.3
% 0.63/0.45 % (696431)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.45 % (696431)Time elapsed: 0.014 s
% 0.63/0.45 % (696431)Peak memory usage: 13 MB
% 0.63/0.45 % (696431)Instructions burned: 59 (million)
% 0.63/0.45 % (696431)------------------------------
% 0.63/0.45 % (696431)------------------------------
% 0.63/0.45 % (696436)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4065791947:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.45 % (696430)Instruction limit reached!
% 0.63/0.45 % (696430)------------------------------
% 0.63/0.45 % (696430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (696430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (696430)CaDiCaL version: 2.1.3
% 0.63/0.45 % (696430)Termination reason: Instruction limit
% 0.63/0.45 % (696430)Termination phase: Property scanning
% 0.63/0.45 % (696430)Time elapsed: 0.016 s
% 0.63/0.45 % (696430)Peak memory usage: 10 MB
% 0.63/0.45 % (696430)Instructions burned: 38 (million)
% 0.63/0.45 % (696437)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1832339120:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.34/0.49 % (696440)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3294698770:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.34/0.49 % (696440)Instruction limit reached!
% 1.34/0.49 % (696440)------------------------------
% 1.34/0.49 % (696440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.49 % (696440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.49 % (696440)CaDiCaL version: 2.1.3
% 1.34/0.49 % (696440)Termination reason: Instruction limit
% 1.34/0.49 % (696440)Termination phase: shuffling
% 1.34/0.49 % (696440)Time elapsed: 0.004 s
% 1.34/0.49 % (696440)Peak memory usage: 10 MB
% 1.34/0.49 % (696440)Instructions burned: 17 (million)
% 1.34/0.49 % (696437)Instruction limit reached!
% 1.34/0.49 % (696437)------------------------------
% 1.34/0.49 % (696437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.49 % (696437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.49 % (696437)CaDiCaL version: 2.1.3
% 1.34/0.49 % (696437)Termination reason: Instruction limit
% 1.34/0.49 % (696437)Termination phase: shuffling
% 1.34/0.49 % (696437)Time elapsed: 0.006 s
% 1.34/0.49 % (696437)Peak memory usage: 10 MB
% 1.34/0.49 % (696437)Instructions burned: 15 (million)
% 1.34/0.49 % (696425)Instruction limit reached!
% 1.34/0.49 % (696425)------------------------------
% 1.34/0.49 % (696425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.49 % (696425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.49 % (696425)CaDiCaL version: 2.1.3
% 1.34/0.49 % (696425)Termination reason: Instruction limit
% 1.34/0.49 % (696425)Termination phase: Function definition elimination
% 1.34/0.49 % (696425)Time elapsed: 0.037 s
% 1.34/0.49 % (696425)Peak memory usage: 11 MB
% 1.34/0.49 % (696425)Instructions burned: 87 (million)
% 1.34/0.49 % (696439)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3338661402:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.34/0.49 % (696436)Instruction limit reached!
% 1.34/0.49 % (696436)------------------------------
% 1.34/0.49 % (696436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.49 % (696436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.49 % (696436)CaDiCaL version: 2.1.3
% 1.34/0.49 % (696436)Termination reason: Instruction limit
% 1.34/0.49 % (696436)Termination phase: Property scanning
% 1.34/0.49 % (696436)Time elapsed: 0.012 s
% 1.34/0.49 % (696436)Peak memory usage: 10 MB
% 1.34/0.49 % (696436)Instructions burned: 26 (million)
% 1.34/0.49 % (696442)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1597294574: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)
% 1.34/0.49 % (696442)Instruction limit reached!
% 1.34/0.49 % (696442)------------------------------
% 1.34/0.49 % (696442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.49 % (696442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.49 % (696442)CaDiCaL version: 2.1.3
% 1.34/0.49 % (696442)Termination reason: Instruction limit
% 1.34/0.49 % (696442)Termination phase: shuffling
% 1.34/0.49 % (696442)Time elapsed: 0.002 s
% 1.34/0.49 % (696442)Peak memory usage: 10 MB
% 1.34/0.49 % (696442)Instructions burned: 3 (million)
% 1.34/0.49 % (696449)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
% 1.34/0.49 % (696449)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.34/0.49 % (696445)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=584509274:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.34/0.49 % (696446)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2303341164:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.34/0.49 % (696447)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1834783632:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.34/0.49 % (696449)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=4138755117:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.34/0.54 % (696451)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.34/0.54 % (696449)Instruction limit reached!
% 1.34/0.54 % (696449)------------------------------
% 1.34/0.54 % (696449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.54 % (696449)CaDiCaL version: 2.1.3
% 1.34/0.54 % (696449)Termination reason: Instruction limit
% 1.34/0.54 % (696449)Termination phase: shuffling
% 1.34/0.54 % (696449)Time elapsed: 0.006 s
% 1.34/0.54 % (696449)Peak memory usage: 10 MB
% 1.34/0.54 % (696449)Instructions burned: 14 (million)
% 1.34/0.54 % (696446)Instruction limit reached!
% 1.34/0.54 % (696446)------------------------------
% 1.34/0.54 % (696446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.54 % (696446)CaDiCaL version: 2.1.3
% 1.34/0.54 % (696446)Termination reason: Instruction limit
% 1.34/0.54 % (696446)Termination phase: shuffling
% 1.34/0.54 % (696446)Time elapsed: 0.010 s
% 1.34/0.54 % (696446)Peak memory usage: 10 MB
% 1.34/0.54 % (696446)Instructions burned: 24 (million)
% 1.34/0.54 % (696445)Instruction limit reached!
% 1.34/0.54 % (696445)------------------------------
% 1.34/0.54 % (696445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.54 % (696445)CaDiCaL version: 2.1.3
% 1.34/0.54 % (696445)Termination reason: Instruction limit
% 1.34/0.54 % (696445)Termination phase: Property scanning
% 1.34/0.54 % (696445)Time elapsed: 0.012 s
% 1.34/0.54 % (696445)Peak memory usage: 10 MB
% 1.34/0.54 % (696445)Instructions burned: 28 (million)
% 1.34/0.54 % (696451)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=3034903216:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.34/0.54 % (696451)Instruction limit reached!
% 1.34/0.54 % (696451)------------------------------
% 1.34/0.54 % (696451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.54 % (696451)CaDiCaL version: 2.1.3
% 1.34/0.54 % (696451)Termination reason: Instruction limit
% 1.34/0.54 % (696451)Termination phase: shuffling
% 1.34/0.54 % (696451)Time elapsed: 0.004 s
% 1.34/0.54 % (696451)Peak memory usage: 10 MB
% 1.34/0.54 % (696451)Instructions burned: 9 (million)
% 1.34/0.54 % (696460)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=171082052:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.34/0.54 % (696456)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=3877842741:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.34/0.54 % (696447)Instruction limit reached!
% 1.34/0.54 % (696447)------------------------------
% 1.34/0.54 % (696447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.54 % (696447)CaDiCaL version: 2.1.3
% 1.34/0.54 % (696447)Termination reason: Instruction limit
% 1.34/0.54 % (696447)Termination phase: Property scanning
% 1.34/0.54 % (696447)Time elapsed: 0.026 s
% 1.34/0.54 % (696447)Peak memory usage: 11 MB
% 1.34/0.54 % (696447)Instructions burned: 61 (million)
% 1.34/0.54 % (696457)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4005342342:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.34/0.54 % (696459)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=424833950:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.34/0.54 % (696457)Instruction limit reached!
% 1.34/0.54 % (696457)------------------------------
% 1.34/0.54 % (696457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.54 % (696457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696457)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696457)Termination reason: Instruction limit
% 2.46/0.63 % (696457)Termination phase: shuffling
% 2.46/0.63 % (696457)Time elapsed: 0.003 s
% 2.46/0.63 % (696457)Peak memory usage: 10 MB
% 2.46/0.63 % (696457)Instructions burned: 7 (million)
% 2.46/0.63 % (696460)Instruction limit reached!
% 2.46/0.63 % (696460)------------------------------
% 2.46/0.63 % (696460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696460)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696460)Termination reason: Instruction limit
% 2.46/0.63 % (696460)Termination phase: shuffling
% 2.46/0.63 % (696460)Time elapsed: 0.006 s
% 2.46/0.63 % (696460)Peak memory usage: 10 MB
% 2.46/0.63 % (696460)Instructions burned: 23 (million)
% 2.46/0.63 % (696459)Instruction limit reached!
% 2.46/0.63 % (696459)------------------------------
% 2.46/0.63 % (696459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696459)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696459)Termination reason: Instruction limit
% 2.46/0.63 % (696459)Termination phase: shuffling
% 2.46/0.63 % (696459)Time elapsed: 0.010 s
% 2.46/0.63 % (696459)Peak memory usage: 10 MB
% 2.46/0.63 % (696459)Instructions burned: 24 (million)
% 2.46/0.63 % (696456)Instruction limit reached!
% 2.46/0.63 % (696456)------------------------------
% 2.46/0.63 % (696456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696456)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696456)Termination reason: Instruction limit
% 2.46/0.63 % (696456)Termination phase: Property scanning
% 2.46/0.63 % (696456)Time elapsed: 0.014 s
% 2.46/0.63 % (696456)Peak memory usage: 10 MB
% 2.46/0.63 % (696456)Instructions burned: 32 (million)
% 2.46/0.63 % (696467)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=810350814:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.46/0.63 % (696464)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=854642929:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.46/0.63 % (696466)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=725967380:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.46/0.63 % (696470)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.46/0.63 % (696468)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=147065594:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.46/0.63 % (696470)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2954240710:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.46/0.63 % (696470)Instruction limit reached!
% 2.46/0.63 % (696470)------------------------------
% 2.46/0.63 % (696470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696470)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696470)Termination reason: Instruction limit
% 2.46/0.63 % (696470)Termination phase: shuffling
% 2.46/0.63 % (696470)Time elapsed: 0.004 s
% 2.46/0.63 % (696470)Peak memory usage: 10 MB
% 2.46/0.63 % (696470)Instructions burned: 9 (million)
% 2.46/0.63 % (696467)Refutation not found, incomplete strategy
% 2.46/0.63 % (696467)------------------------------
% 2.46/0.63 % (696467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.63 % (696467)CaDiCaL version: 2.1.3
% 2.46/0.63 % (696467)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.63 % (696467)Time elapsed: 0.024 s
% 2.46/0.63 % (696467)Peak memory usage: 13 MB
% 2.46/0.63 % (696467)Instructions burned: 97 (million)
% 2.46/0.63 % (696467)------------------------------
% 2.46/0.63 % (696467)------------------------------
% 2.46/0.63 % (696468)Instruction limit reached!
% 2.46/0.63 % (696468)------------------------------
% 2.46/0.63 % (696468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.63 % (696468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.69 % (696468)CaDiCaL version: 2.1.3
% 2.46/0.69 % (696468)Termination reason: Instruction limit
% 2.46/0.69 % (696468)Termination phase: Preprocessing 1
% 2.46/0.69 % (696468)Time elapsed: 0.018 s
% 2.46/0.69 % (696468)Peak memory usage: 11 MB
% 2.46/0.69 % (696468)Instructions burned: 42 (million)
% 2.46/0.69 % (696476)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=2965879606:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.46/0.69 % (696475)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=636070422:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.46/0.69 % (696478)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.46/0.69 % (696478)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1061391917:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.46/0.69 % (696476)Refutation not found, incomplete strategy
% 2.46/0.69 % (696476)------------------------------
% 2.46/0.69 % (696476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.69 % (696476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.69 % (696476)CaDiCaL version: 2.1.3
% 2.46/0.69 % (696476)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.69 % (696476)Time elapsed: 0.019 s
% 2.46/0.69 % (696476)Peak memory usage: 13 MB
% 2.46/0.69 % (696476)Instructions burned: 79 (million)
% 2.46/0.69 % (696476)------------------------------
% 2.46/0.69 % (696476)------------------------------
% 2.46/0.69 % (696478)Instruction limit reached!
% 2.46/0.69 % (696478)------------------------------
% 2.46/0.69 % (696478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.69 % (696478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.69 % (696478)CaDiCaL version: 2.1.3
% 2.46/0.69 % (696478)Termination reason: Instruction limit
% 2.46/0.69 % (696478)Termination phase: shuffling
% 2.46/0.69 % (696478)Time elapsed: 0.003 s
% 2.46/0.69 % (696478)Peak memory usage: 10 MB
% 2.46/0.69 % (696478)Instructions burned: 6 (million)
% 2.46/0.69 % (696481)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=335637210:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.46/0.69 % (696466)Instruction limit reached!
% 2.46/0.69 % (696466)------------------------------
% 2.46/0.69 % (696466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.69 % (696466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.69 % (696466)CaDiCaL version: 2.1.3
% 2.46/0.69 % (696466)Termination reason: Instruction limit
% 2.46/0.69 % (696466)Termination phase: Function definition elimination
% 2.46/0.69 % (696466)Time elapsed: 0.058 s
% 2.46/0.69 % (696466)Peak memory usage: 11 MB
% 2.46/0.69 % (696466)Instructions burned: 143 (million)
% 2.46/0.69 % (696481)Instruction limit reached!
% 2.46/0.69 % (696481)------------------------------
% 2.46/0.69 % (696481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.69 % (696481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.69 % (696481)CaDiCaL version: 2.1.3
% 2.46/0.69 % (696481)Termination reason: Instruction limit
% 2.46/0.69 % (696481)Termination phase: shuffling
% 2.46/0.69 % (696481)Time elapsed: 0.005 s
% 2.46/0.69 % (696481)Peak memory usage: 10 MB
% 2.46/0.69 % (696481)Instructions burned: 23 (million)
% 2.46/0.69 % (696482)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=228858377:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.46/0.69 % (696485)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=440866270:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.46/0.69 % (696484)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=2264503209:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.97/0.77 % (696482)Instruction limit reached!
% 2.97/0.77 % (696482)------------------------------
% 2.97/0.77 % (696482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696482)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696482)Termination reason: Instruction limit
% 2.97/0.77 % (696482)Termination phase: shuffling
% 2.97/0.77 % (696482)Time elapsed: 0.009 s
% 2.97/0.77 % (696482)Peak memory usage: 10 MB
% 2.97/0.77 % (696482)Instructions burned: 19 (million)
% 2.97/0.77 % (696439)Instruction limit reached!
% 2.97/0.77 % (696439)------------------------------
% 2.97/0.77 % (696439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696439)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696439)Termination reason: Instruction limit
% 2.97/0.77 % (696439)Termination phase: Saturation
% 2.97/0.77 % (696439)Time elapsed: 0.165 s
% 2.97/0.77 % (696439)Peak memory usage: 14 MB
% 2.97/0.77 % (696439)Instructions burned: 328 (million)
% 2.97/0.77 % (696489)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=4138682220:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.97/0.77 % (696490)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2447044407:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.97/0.77 % (696489)Instruction limit reached!
% 2.97/0.77 % (696489)------------------------------
% 2.97/0.77 % (696489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696489)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696489)Termination reason: Instruction limit
% 2.97/0.77 % (696489)Termination phase: Property scanning
% 2.97/0.77 % (696489)Time elapsed: 0.020 s
% 2.97/0.77 % (696489)Peak memory usage: 11 MB
% 2.97/0.77 % (696489)Instructions burned: 47 (million)
% 2.97/0.77 % (696475)Instruction limit reached!
% 2.97/0.77 % (696475)------------------------------
% 2.97/0.77 % (696475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696475)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696475)Termination reason: Instruction limit
% 2.97/0.77 % (696475)Termination phase: Saturation
% 2.97/0.77 % (696475)Time elapsed: 0.089 s
% 2.97/0.77 % (696475)Peak memory usage: 13 MB
% 2.97/0.77 % (696475)Instructions burned: 183 (million)
% 2.97/0.77 % (696494)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.97/0.77 % (696493)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=412452215:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.97/0.77 % (696494)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3142440915:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.97/0.77 % (696493)Instruction limit reached!
% 2.97/0.77 % (696493)------------------------------
% 2.97/0.77 % (696493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696493)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696493)Termination reason: Instruction limit
% 2.97/0.77 % (696493)Termination phase: shuffling
% 2.97/0.77 % (696493)Time elapsed: 0.009 s
% 2.97/0.77 % (696493)Peak memory usage: 10 MB
% 2.97/0.77 % (696493)Instructions burned: 22 (million)
% 2.97/0.77 % (696490)Refutation not found, incomplete strategy
% 2.97/0.77 % (696490)------------------------------
% 2.97/0.77 % (696490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.97/0.77 % (696490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/0.77 % (696490)CaDiCaL version: 2.1.3
% 2.97/0.77 % (696490)Termination reason: Refutation not found, incomplete strategy
% 2.97/0.77 % (696490)Time elapsed: 0.046 s
% 2.97/0.77 % (696490)Peak memory usage: 13 MB
% 2.97/0.77 % (696490)Instructions burned: 104 (million)
% 2.97/0.77 % (696490)------------------------------
% 3.63/0.82 % (696490)------------------------------
% 3.63/0.82 % (696497)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=129800741:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.63/0.82 % (696497)Instruction limit reached!
% 3.63/0.82 % (696497)------------------------------
% 3.63/0.82 % (696497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696497)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696497)Termination reason: Instruction limit
% 3.63/0.82 % (696497)Termination phase: shuffling
% 3.63/0.82 % (696497)Time elapsed: 0.006 s
% 3.63/0.82 % (696497)Peak memory usage: 10 MB
% 3.63/0.82 % (696497)Instructions burned: 14 (million)
% 3.63/0.82 % (696406)Instruction limit reached!
% 3.63/0.82 % (696406)------------------------------
% 3.63/0.82 % (696406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696406)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696406)Termination reason: Instruction limit
% 3.63/0.82 % (696406)Termination phase: Saturation
% 3.63/0.82 % (696406)Time elapsed: 0.330 s
% 3.63/0.82 % (696406)Peak memory usage: 17 MB
% 3.63/0.82 % (696406)Instructions burned: 634 (million)
% 3.63/0.82 % (696498)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=3352305003:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.63/0.82 % (696500)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4138506023:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.63/0.82 % (696501)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3843041422:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.63/0.82 % (696484)Instruction limit reached!
% 3.63/0.82 % (696484)------------------------------
% 3.63/0.82 % (696484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696484)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696484)Termination reason: Instruction limit
% 3.63/0.82 % (696484)Termination phase: Function definition elimination
% 3.63/0.82 % (696484)Time elapsed: 0.122 s
% 3.63/0.82 % (696484)Peak memory usage: 11 MB
% 3.63/0.82 % (696484)Instructions burned: 317 (million)
% 3.63/0.82 % (696501)Instruction limit reached!
% 3.63/0.82 % (696501)------------------------------
% 3.63/0.82 % (696501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696501)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696501)Termination reason: Instruction limit
% 3.63/0.82 % (696501)Termination phase: Property scanning
% 3.63/0.82 % (696501)Time elapsed: 0.014 s
% 3.63/0.82 % (696501)Peak memory usage: 10 MB
% 3.63/0.82 % (696501)Instructions burned: 31 (million)
% 3.63/0.82 % (696498)Instruction limit reached!
% 3.63/0.82 % (696498)------------------------------
% 3.63/0.82 % (696498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696498)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696498)Termination reason: Instruction limit
% 3.63/0.82 % (696498)Termination phase: Property scanning
% 3.63/0.82 % (696498)Time elapsed: 0.029 s
% 3.63/0.82 % (696498)Peak memory usage: 11 MB
% 3.63/0.82 % (696498)Instructions burned: 67 (million)
% 3.63/0.82 % (696500)Instruction limit reached!
% 3.63/0.82 % (696500)------------------------------
% 3.63/0.82 % (696500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.82 % (696500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.82 % (696500)CaDiCaL version: 2.1.3
% 3.63/0.82 % (696500)Termination reason: Instruction limit
% 3.63/0.82 % (696500)Termination phase: Property scanning
% 3.63/0.82 % (696500)Time elapsed: 0.023 s
% 3.63/0.82 % (696500)Peak memory usage: 11 MB
% 3.63/0.82 % (696500)Instructions burned: 53 (million)
% 3.63/0.82 % (696505)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=118471082:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.63/0.82 % (696494)Instruction limit reached!
% 3.87/1.00 % (696494)------------------------------
% 3.87/1.00 % (696494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696494)CaDiCaL version: 2.1.3
% 3.87/1.00 % (696494)Termination reason: Instruction limit
% 3.87/1.00 % (696494)Termination phase: Function definition elimination
% 3.87/1.00 % (696494)Time elapsed: 0.080 s
% 3.87/1.00 % (696494)Peak memory usage: 11 MB
% 3.87/1.00 % (696494)Instructions burned: 201 (million)
% 3.87/1.00 % (696506)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=1539815869:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.87/1.00 % (696507)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1650132562:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.87/1.00 % (696508)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.87/1.00 % (696508)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1208832237:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.87/1.00 % (696510)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=592236175:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.87/1.00 % (696506)Instruction limit reached!
% 3.87/1.00 % (696506)------------------------------
% 3.87/1.00 % (696506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696506)CaDiCaL version: 2.1.3
% 3.87/1.00 % (696506)Termination reason: Instruction limit
% 3.87/1.00 % (696506)Termination phase: Property scanning
% 3.87/1.00 % (696506)Time elapsed: 0.015 s
% 3.87/1.00 % (696506)Peak memory usage: 10 MB
% 3.87/1.00 % (696506)Instructions burned: 34 (million)
% 3.87/1.00 % (696507)Instruction limit reached!
% 3.87/1.00 % (696507)------------------------------
% 3.87/1.00 % (696507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696507)CaDiCaL version: 2.1.3
% 3.87/1.00 % (696507)Termination reason: Instruction limit
% 3.87/1.00 % (696507)Termination phase: Function definition elimination
% 3.87/1.00 % (696507)Time elapsed: 0.030 s
% 3.87/1.00 % (696507)Peak memory usage: 11 MB
% 3.87/1.00 % (696507)Instructions burned: 70 (million)
% 3.87/1.00 % (696515)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=840686147:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.87/1.00 % (696516)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2002855284:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.87/1.00 % (696510)Refutation not found, incomplete strategy
% 3.87/1.00 % (696510)------------------------------
% 3.87/1.00 % (696510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696510)CaDiCaL version: 2.1.3
% 3.87/1.00 % (696510)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.00 % (696510)Time elapsed: 0.043 s
% 3.87/1.00 % (696510)Peak memory usage: 13 MB
% 3.87/1.00 % (696510)Instructions burned: 94 (million)
% 3.87/1.00 % (696510)------------------------------
% 3.87/1.00 % (696510)------------------------------
% 3.87/1.00 % (696505)Instruction limit reached!
% 3.87/1.00 % (696505)------------------------------
% 3.87/1.00 % (696505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696505)CaDiCaL version: 2.1.3
% 3.87/1.00 % (696505)Termination reason: Instruction limit
% 3.87/1.00 % (696505)Termination phase: Saturation
% 3.87/1.00 % (696505)Time elapsed: 0.067 s
% 3.87/1.00 % (696505)Peak memory usage: 13 MB
% 3.87/1.00 % (696505)Instructions burned: 137 (million)
% 3.87/1.00 % (696515)Instruction limit reached!
% 3.87/1.00 % (696515)------------------------------
% 3.87/1.00 % (696515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.00 % (696515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.00 % (696515)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696515)Termination reason: Instruction limit
% 5.34/1.07 % (696515)Termination phase: Function definition elimination
% 5.34/1.07 % (696515)Time elapsed: 0.040 s
% 5.34/1.07 % (696515)Peak memory usage: 11 MB
% 5.34/1.07 % (696515)Instructions burned: 96 (million)
% 5.34/1.07 % (696485)Instruction limit reached!
% 5.34/1.07 % (696485)------------------------------
% 5.34/1.07 % (696485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/1.07 % (696485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.07 % (696485)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696485)Termination reason: Instruction limit
% 5.34/1.07 % (696485)Termination phase: Saturation
% 5.34/1.07 % (696485)Time elapsed: 0.231 s
% 5.34/1.07 % (696485)Peak memory usage: 18 MB
% 5.34/1.07 % (696485)Instructions burned: 854 (million)
% 5.34/1.07 % (696519)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2490271373:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 5.34/1.07 % (696520)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3543050793:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 5.34/1.07 % (696516)Refutation not found, incomplete strategy
% 5.34/1.07 % (696516)------------------------------
% 5.34/1.07 % (696516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/1.07 % (696516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.07 % (696516)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696516)Termination reason: Refutation not found, incomplete strategy
% 5.34/1.07 % (696516)Time elapsed: 0.025 s
% 5.34/1.07 % (696516)Peak memory usage: 13 MB
% 5.34/1.07 % (696516)Instructions burned: 54 (million)
% 5.34/1.07 % (696508)Instruction limit reached!
% 5.34/1.07 % (696508)------------------------------
% 5.34/1.07 % (696508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/1.07 % (696508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.07 % (696508)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696508)Termination reason: Instruction limit
% 5.34/1.07 % (696508)Termination phase: Function definition elimination
% 5.34/1.07 % (696508)Time elapsed: 0.072 s
% 5.34/1.07 % (696508)Peak memory usage: 11 MB
% 5.34/1.07 % (696508)Instructions burned: 181 (million)
% 5.34/1.07 % (696516)------------------------------
% 5.34/1.07 % (696516)------------------------------
% 5.34/1.07 % (696523)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2880443542:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.34/1.07 % (696522)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1635176106:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.34/1.07 % (696523)Instruction limit reached!
% 5.34/1.07 % (696523)------------------------------
% 5.34/1.07 % (696523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/1.07 % (696523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.07 % (696523)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696523)Termination reason: Instruction limit
% 5.34/1.07 % (696523)Termination phase: Property scanning
% 5.34/1.07 % (696523)Time elapsed: 0.010 s
% 5.34/1.07 % (696523)Peak memory usage: 11 MB
% 5.34/1.07 % (696523)Instructions burned: 46 (million)
% 5.34/1.07 % (696525)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=366563422:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.34/1.07 % (696526)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3209702581:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.34/1.07 % (696529)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4009796913:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 5.34/1.07 % (696529)Instruction limit reached!
% 5.34/1.07 % (696529)------------------------------
% 5.34/1.07 % (696529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.34/1.07 % (696529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.07 % (696529)CaDiCaL version: 2.1.3
% 5.34/1.07 % (696529)Termination reason: Instruction limit
% 5.34/1.07 % (696529)Termination phase: Function definition elimination
% 5.34/1.07 % (696529)Time elapsed: 0.021 s
% 5.34/1.07 % (696529)Peak memory usage: 11 MB
% 5.34/1.07 % (696529)Instructions burned: 97 (million)
% 5.90/1.19 % (696533)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=827904790:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 5.90/1.19 % (696533)Instruction limit reached!
% 5.90/1.19 % (696533)------------------------------
% 5.90/1.19 % (696533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.19 % (696533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.19 % (696533)CaDiCaL version: 2.1.3
% 5.90/1.19 % (696533)Termination reason: Instruction limit
% 5.90/1.19 % (696533)Termination phase: Property scanning
% 5.90/1.19 % (696533)Time elapsed: 0.016 s
% 5.90/1.19 % (696533)Peak memory usage: 11 MB
% 5.90/1.19 % (696533)Instructions burned: 70 (million)
% 5.90/1.19 % (696522)Instruction limit reached!
% 5.90/1.19 % (696522)------------------------------
% 5.90/1.19 % (696522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.19 % (696522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.19 % (696522)CaDiCaL version: 2.1.3
% 5.90/1.19 % (696522)Termination reason: Instruction limit
% 5.90/1.19 % (696522)Termination phase: Saturation
% 5.90/1.19 % (696522)Time elapsed: 0.064 s
% 5.90/1.19 % (696522)Peak memory usage: 13 MB
% 5.90/1.19 % (696522)Instructions burned: 131 (million)
% 5.90/1.19 % (696535)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=1270282471: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_2994 on theBenchmark for (2994ds/105Mi)
% 5.90/1.19 % (696536)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=1036608633:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 5.90/1.19 % (696535)Instruction limit reached!
% 5.90/1.19 % (696535)------------------------------
% 5.90/1.19 % (696535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.19 % (696535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.19 % (696535)CaDiCaL version: 2.1.3
% 5.90/1.19 % (696535)Termination reason: Instruction limit
% 5.90/1.19 % (696535)Termination phase: Function definition elimination
% 5.90/1.19 % (696535)Time elapsed: 0.038 s
% 5.90/1.19 % (696535)Peak memory usage: 11 MB
% 5.90/1.19 % (696535)Instructions burned: 106 (million)
% 5.90/1.19 % (696539)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=524061456:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.90/1.19 % (696464)Instruction limit reached!
% 5.90/1.19 % (696464)------------------------------
% 5.90/1.19 % (696464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.19 % (696464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.19 % (696464)CaDiCaL version: 2.1.3
% 5.90/1.19 % (696464)Termination reason: Instruction limit
% 5.90/1.19 % (696464)Termination phase: Property scanning
% 5.90/1.19 % (696464)Time elapsed: 0.476 s
% 5.90/1.19 % (696464)Peak memory usage: 11 MB
% 5.90/1.19 % (696464)Instructions burned: 1241 (million)
% 5.90/1.19 % (696541)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3874675611:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.90/1.19 % (696526)Instruction limit reached!
% 5.90/1.19 % (696526)------------------------------
% 5.90/1.19 % (696526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.19 % (696526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.19 % (696526)CaDiCaL version: 2.1.3
% 5.90/1.19 % (696526)Termination reason: Instruction limit
% 5.90/1.19 % (696526)Termination phase: Function definition elimination
% 5.90/1.19 % (696526)Time elapsed: 0.176 s
% 5.90/1.19 % (696526)Peak memory usage: 11 MB
% 5.90/1.19 % (696526)Instructions burned: 453 (million)
% 5.90/1.19 % (696543)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=2171194349:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.90/1.19 % (696543)Instruction limit reached!
% 5.90/1.19 % (696543)------------------------------
% 6.29/1.28 % (696543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696543)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696543)Termination reason: Instruction limit
% 6.29/1.28 % (696543)Termination phase: Property scanning
% 6.29/1.28 % (696543)Time elapsed: 0.015 s
% 6.29/1.28 % (696543)Peak memory usage: 10 MB
% 6.29/1.28 % (696543)Instructions burned: 34 (million)
% 6.29/1.28 % (696520)Instruction limit reached!
% 6.29/1.28 % (696520)------------------------------
% 6.29/1.28 % (696520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696520)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696520)Termination reason: Instruction limit
% 6.29/1.28 % (696520)Termination phase: Saturation
% 6.29/1.28 % (696520)Time elapsed: 0.239 s
% 6.29/1.28 % (696520)Peak memory usage: 15 MB
% 6.29/1.28 % (696520)Instructions burned: 517 (million)
% 6.29/1.28 % (696539)Instruction limit reached!
% 6.29/1.28 % (696539)------------------------------
% 6.29/1.28 % (696539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696539)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696539)Termination reason: Instruction limit
% 6.29/1.28 % (696539)Termination phase: Saturation
% 6.29/1.28 % (696539)Time elapsed: 0.103 s
% 6.29/1.28 % (696539)Peak memory usage: 15 MB
% 6.29/1.28 % (696539)Instructions burned: 378 (million)
% 6.29/1.28 % (696545)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3317655186:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.29/1.28 % (696546)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1952257945:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.29/1.28 % (696547)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1825760077:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.29/1.28 % (696547)Instruction limit reached!
% 6.29/1.28 % (696547)------------------------------
% 6.29/1.28 % (696547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696547)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696547)Termination reason: Instruction limit
% 6.29/1.28 % (696547)Termination phase: shuffling
% 6.29/1.28 % (696547)Time elapsed: 0.005 s
% 6.29/1.28 % (696547)Peak memory usage: 10 MB
% 6.29/1.28 % (696547)Instructions burned: 23 (million)
% 6.29/1.28 % (696546)Refutation not found, incomplete strategy
% 6.29/1.28 % (696546)------------------------------
% 6.29/1.28 % (696546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696546)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696546)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.28 % (696546)Time elapsed: 0.024 s
% 6.29/1.28 % (696546)Peak memory usage: 13 MB
% 6.29/1.28 % (696546)Instructions burned: 53 (million)
% 6.29/1.28 % (696546)------------------------------
% 6.29/1.28 % (696546)------------------------------
% 6.29/1.28 % (696551)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=2836891404:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.29/1.28 % (696545)Instruction limit reached!
% 6.29/1.28 % (696545)------------------------------
% 6.29/1.28 % (696545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (696545)CaDiCaL version: 2.1.3
% 6.29/1.28 % (696545)Termination reason: Instruction limit
% 6.29/1.28 % (696545)Termination phase: Function definition elimination
% 6.29/1.28 % (696545)Time elapsed: 0.039 s
% 6.29/1.28 % (696545)Peak memory usage: 12 MB
% 6.29/1.28 % (696545)Instructions burned: 91 (million)
% 6.29/1.28 % (696525)Instruction limit reached!
% 6.29/1.28 % (696525)------------------------------
% 6.29/1.28 % (696525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (696525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.37 % (696525)CaDiCaL version: 2.1.3
% 6.87/1.37 % (696525)Termination reason: Instruction limit
% 6.87/1.37 % (696525)Termination phase: Saturation
% 6.87/1.37 % (696525)Time elapsed: 0.275 s
% 6.87/1.37 % (696525)Peak memory usage: 17 MB
% 6.87/1.37 % (696525)Instructions burned: 572 (million)
% 6.87/1.37 % (696553)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1169834807:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.87/1.37 % (696554)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.87/1.37 % (696554)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3838605706:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.87/1.37 % (696553)Instruction limit reached!
% 6.87/1.37 % (696553)------------------------------
% 6.87/1.37 % (696553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/1.37 % (696553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.37 % (696553)CaDiCaL version: 2.1.3
% 6.87/1.37 % (696553)Termination reason: Instruction limit
% 6.87/1.37 % (696553)Termination phase: Property scanning
% 6.87/1.37 % (696553)Time elapsed: 0.013 s
% 6.87/1.37 % (696553)Peak memory usage: 10 MB
% 6.87/1.37 % (696553)Instructions burned: 29 (million)
% 6.87/1.37 % (696555)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=728904667:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.87/1.37 % (696559)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4235414042:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.87/1.37 % (696559)Refutation not found, incomplete strategy
% 6.87/1.37 % (696559)------------------------------
% 6.87/1.37 % (696559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/1.37 % (696559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.37 % (696559)CaDiCaL version: 2.1.3
% 6.87/1.37 % (696559)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.37 % (696559)Time elapsed: 0.023 s
% 6.87/1.37 % (696559)Peak memory usage: 13 MB
% 6.87/1.37 % (696559)Instructions burned: 51 (million)
% 6.87/1.37 % (696559)------------------------------
% 6.87/1.37 % (696559)------------------------------
% 6.87/1.37 % (696554)Instruction limit reached!
% 6.87/1.37 % (696554)------------------------------
% 6.87/1.37 % (696554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/1.37 % (696554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.37 % (696554)CaDiCaL version: 2.1.3
% 6.87/1.37 % (696554)Termination reason: Instruction limit
% 6.87/1.37 % (696554)Termination phase: Function definition elimination
% 6.87/1.37 % (696554)Time elapsed: 0.055 s
% 6.87/1.37 % (696554)Peak memory usage: 11 MB
% 6.87/1.37 % (696554)Instructions burned: 139 (million)
% 6.87/1.37 % (696561)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.87/1.37 % (696561)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2910976234:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.87/1.37 % (696541)Instruction limit reached!
% 6.87/1.37 % (696541)------------------------------
% 6.87/1.37 % (696541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/1.37 % (696541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.37 % (696541)CaDiCaL version: 2.1.3
% 6.87/1.37 % (696541)Termination reason: Instruction limit
% 6.87/1.37 % (696541)Termination phase: Function definition elimination
% 6.87/1.37 % (696541)Time elapsed: 0.195 s
% 6.87/1.37 % (696541)Peak memory usage: 11 MB
% 6.87/1.37 % (696541)Instructions burned: 496 (million)
% 6.87/1.37 % (696562)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=490964389:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.87/1.37 % (696564)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2433227790:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 6.87/1.37 % (696551)Instruction limit reached!
% 7.97/1.55 % (696551)------------------------------
% 7.97/1.55 % (696551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.97/1.55 % (696551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.55 % (696551)CaDiCaL version: 2.1.3
% 7.97/1.55 % (696551)Termination reason: Instruction limit
% 7.97/1.55 % (696551)Termination phase: Function definition elimination
% 7.97/1.55 % (696551)Time elapsed: 0.133 s
% 7.97/1.55 % (696551)Peak memory usage: 11 MB
% 7.97/1.55 % (696551)Instructions burned: 340 (million)
% 7.97/1.55 % (696562)Instruction limit reached!
% 7.97/1.55 % (696562)------------------------------
% 7.97/1.55 % (696562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.97/1.55 % (696562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.55 % (696562)CaDiCaL version: 2.1.3
% 7.97/1.55 % (696562)Termination reason: Instruction limit
% 7.97/1.55 % (696562)Termination phase: Function definition elimination
% 7.97/1.55 % (696562)Time elapsed: 0.047 s
% 7.97/1.55 % (696562)Peak memory usage: 11 MB
% 7.97/1.55 % (696562)Instructions burned: 116 (million)
% 7.97/1.55 % (696567)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3002319388:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.97/1.55 % (696519)Instruction limit reached!
% 7.97/1.55 % (696519)------------------------------
% 7.97/1.55 % (696519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.97/1.55 % (696519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.55 % (696519)CaDiCaL version: 2.1.3
% 7.97/1.55 % (696519)Termination reason: Instruction limit
% 7.97/1.55 % (696519)Termination phase: Saturation
% 7.97/1.55 % (696519)Time elapsed: 0.438 s
% 7.97/1.55 % (696519)Peak memory usage: 16 MB
% 7.97/1.55 % (696519)Instructions burned: 875 (million)
% 7.97/1.55 % (696555)Instruction limit reached!
% 7.97/1.55 % (696555)------------------------------
% 7.97/1.55 % (696555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.97/1.55 % (696555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.55 % (696555)CaDiCaL version: 2.1.3
% 7.97/1.55 % (696555)Termination reason: Instruction limit
% 7.97/1.55 % (696555)Termination phase: Function definition elimination
% 7.97/1.55 % (696555)Time elapsed: 0.133 s
% 7.97/1.55 % (696555)Peak memory usage: 11 MB
% 7.97/1.55 % (696555)Instructions burned: 341 (million)
% 7.97/1.55 % (696568)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=2021758521: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_2990 on theBenchmark for (2990ds/9840Mi)
% 7.97/1.55 % (696570)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=403801033:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 7.97/1.55 % (696572)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
% 7.97/1.55 % (696572)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=3566109290:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.97/1.55 % (696570)Refutation not found, incomplete strategy
% 7.97/1.55 % (696570)------------------------------
% 7.97/1.55 % (696570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.97/1.55 % (696570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.55 % (696570)CaDiCaL version: 2.1.3
% 7.97/1.55 % (696570)Termination reason: Refutation not found, incomplete strategy
% 7.97/1.55 % (696570)Time elapsed: 0.023 s
% 7.97/1.55 % (696570)Peak memory usage: 13 MB
% 7.97/1.55 % (696570)Instructions burned: 51 (million)
% 7.97/1.55 % (696570)------------------------------
% 7.97/1.55 % (696570)------------------------------
% 7.97/1.55 % (696575)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4148533932:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 7.97/1.55 % (696575)Instruction limit reached!
% 7.97/1.55 % (696575)------------------------------
% 7.97/1.55 % (696575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696575)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696575)Termination reason: Instruction limit
% 8.59/1.73 % (696575)Termination phase: Property scanning
% 8.59/1.73 % (696575)Time elapsed: 0.014 s
% 8.59/1.73 % (696575)Peak memory usage: 10 MB
% 8.59/1.73 % (696575)Instructions burned: 31 (million)
% 8.59/1.73 % (696561)Instruction limit reached!
% 8.59/1.73 % (696561)------------------------------
% 8.59/1.73 % (696561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696561)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696561)Termination reason: Instruction limit
% 8.59/1.73 % (696561)Termination phase: Function definition elimination
% 8.59/1.73 % (696561)Time elapsed: 0.145 s
% 8.59/1.73 % (696561)Peak memory usage: 11 MB
% 8.59/1.73 % (696561)Instructions burned: 376 (million)
% 8.59/1.73 % (696577)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.59/1.73 % (696577)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
% 8.59/1.73 % (696577)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=607753793:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 8.59/1.73 % (696567)Instruction limit reached!
% 8.59/1.73 % (696567)------------------------------
% 8.59/1.73 % (696567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696567)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696567)Termination reason: Instruction limit
% 8.59/1.73 % (696567)Termination phase: Function definition elimination
% 8.59/1.73 % (696567)Time elapsed: 0.098 s
% 8.59/1.73 % (696567)Peak memory usage: 11 MB
% 8.59/1.73 % (696567)Instructions burned: 274 (million)
% 8.59/1.73 % (696578)dis+10_2_sil=128000:si=on:random_seed=3910626721:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 8.59/1.73 % (696580)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=930749071:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 8.59/1.73 % (696580)Instruction limit reached!
% 8.59/1.73 % (696580)------------------------------
% 8.59/1.73 % (696580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696580)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696580)Termination reason: Instruction limit
% 8.59/1.73 % (696580)Termination phase: Function definition elimination
% 8.59/1.73 % (696580)Time elapsed: 0.025 s
% 8.59/1.73 % (696580)Peak memory usage: 11 MB
% 8.59/1.73 % (696580)Instructions burned: 116 (million)
% 8.59/1.73 % (696572)Instruction limit reached!
% 8.59/1.73 % (696572)------------------------------
% 8.59/1.73 % (696572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696572)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696572)Termination reason: Instruction limit
% 8.59/1.73 % (696572)Termination phase: Function definition elimination
% 8.59/1.73 % (696572)Time elapsed: 0.105 s
% 8.59/1.73 % (696572)Peak memory usage: 11 MB
% 8.59/1.73 % (696572)Instructions burned: 271 (million)
% 8.59/1.73 % (696583)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=3683516870:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/122Mi)
% 8.59/1.73 % (696584)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=1034895933:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/136Mi)
% 8.59/1.73 % (696583)Refutation not found, incomplete strategy
% 8.59/1.73 % (696583)------------------------------
% 8.59/1.73 % (696583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696583)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696583)Termination reason: Refutation not found, incomplete strategy
% 8.59/1.73 % (696583)Time elapsed: 0.019 s
% 8.59/1.73 % (696583)Peak memory usage: 13 MB
% 8.59/1.73 % (696583)Instructions burned: 80 (million)
% 8.59/1.73 % (696583)------------------------------
% 8.59/1.73 % (696583)------------------------------
% 8.59/1.73 % (696587)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2939213229:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.59/1.73 % (696564)Instruction limit reached!
% 8.59/1.73 % (696564)------------------------------
% 8.59/1.73 % (696564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696564)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696564)Termination reason: Instruction limit
% 8.59/1.73 % (696564)Termination phase: Property scanning
% 8.59/1.73 % (696564)Time elapsed: 0.224 s
% 8.59/1.73 % (696564)Peak memory usage: 11 MB
% 8.59/1.73 % (696564)Instructions burned: 577 (million)
% 8.59/1.73 % (696589)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=3598858096:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.59/1.73 % (696584)Instruction limit reached!
% 8.59/1.73 % (696584)------------------------------
% 8.59/1.73 % (696584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696584)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696584)Termination reason: Instruction limit
% 8.59/1.73 % (696584)Termination phase: Function definition elimination
% 8.59/1.73 % (696584)Time elapsed: 0.055 s
% 8.59/1.73 % (696584)Peak memory usage: 11 MB
% 8.59/1.73 % (696584)Instructions burned: 136 (million)
% 8.59/1.73 % (696591)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.59/1.73 % (696591)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=519460659:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 8.59/1.73 % (696587)Instruction limit reached!
% 8.59/1.73 % (696587)------------------------------
% 8.59/1.73 % (696587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696587)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696587)Termination reason: Instruction limit
% 8.59/1.73 % (696587)Termination phase: Saturation
% 8.59/1.73 % (696587)Time elapsed: 0.066 s
% 8.59/1.73 % (696587)Peak memory usage: 14 MB
% 8.59/1.73 % (696587)Instructions burned: 234 (million)
% 8.59/1.73 % (696593)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2945556090:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 8.59/1.73 % (696578)Instruction limit reached!
% 8.59/1.73 % (696578)------------------------------
% 8.59/1.73 % (696578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696578)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696578)Termination reason: Instruction limit
% 8.59/1.73 % (696578)Termination phase: Saturation
% 8.59/1.73 % (696578)Time elapsed: 0.155 s
% 8.59/1.73 % (696578)Peak memory usage: 13 MB
% 8.59/1.73 % (696578)Instructions burned: 340 (million)
% 8.59/1.73 % (696595)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=3755547264:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 8.59/1.73 % (696591)Instruction limit reached!
% 8.59/1.73 % (696591)------------------------------
% 8.59/1.73 % (696591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696591)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696591)Termination reason: Instruction limit
% 8.59/1.73 % (696591)Termination phase: Function definition elimination
% 8.59/1.73 % (696591)Time elapsed: 0.112 s
% 8.59/1.73 % (696591)Peak memory usage: 11 MB
% 8.59/1.73 % (696591)Instructions burned: 283 (million)
% 8.59/1.73 % (696597)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1013085696:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 8.59/1.73 % (696593)Instruction limit reached!
% 8.59/1.73 % (696593)------------------------------
% 8.59/1.73 % (696593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696593)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696593)Termination reason: Instruction limit
% 8.59/1.73 % (696593)Termination phase: Property scanning
% 8.59/1.73 % (696593)Time elapsed: 0.128 s
% 8.59/1.73 % (696593)Peak memory usage: 11 MB
% 8.59/1.73 % (696593)Instructions burned: 623 (million)
% 8.59/1.73 % (696599)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=564950721:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 8.59/1.73 % (696599)Refutation not found, incomplete strategy
% 8.59/1.73 % (696599)------------------------------
% 8.59/1.73 % (696599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696599)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696599)Termination reason: Refutation not found, incomplete strategy
% 8.59/1.73 % (696599)Time elapsed: 0.019 s
% 8.59/1.73 % (696599)Peak memory usage: 13 MB
% 8.59/1.73 % (696599)Instructions burned: 77 (million)
% 8.59/1.73 % (696599)------------------------------
% 8.59/1.73 % (696599)------------------------------
% 8.59/1.73 % (696601)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3405295255:st=1.5:i=346:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/346Mi)
% 8.59/1.73 % (696597)Instruction limit reached!
% 8.59/1.73 % (696597)------------------------------
% 8.59/1.73 % (696597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696597)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696597)Termination reason: Instruction limit
% 8.59/1.73 % (696597)Termination phase: Saturation
% 8.59/1.73 % (696597)Time elapsed: 0.097 s
% 8.59/1.73 % (696597)Peak memory usage: 14 MB
% 8.59/1.73 % (696597)Instructions burned: 212 (million)
% 8.59/1.73 % (696603)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=324659063:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/152Mi)
% 8.59/1.73 % (696601) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-696398-696601"...
% 8.59/1.73 % (696601)...printing done.
% 8.59/1.73 % (696601)Refutation found. Thanks to Tanya!
% 8.59/1.73 % SZS status Theorem for theBenchmark
% 8.59/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 8.59/1.73 % (696601)------------------------------
% 8.59/1.73 % (696601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/1.73 % (696601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.73 % (696601)CaDiCaL version: 2.1.3
% 8.59/1.73 % (696601)Termination reason: Refutation
% 8.59/1.73 % (696601)Time elapsed: 0.094 s
% 8.59/1.73 % (696601)Peak memory usage: 15 MB
% 8.59/1.73 % (696601)Instructions burned: 354 (million)
% 8.59/1.73 % (696398)Success in time 1.462 s
% 8.59/1.73 % Vampire exiting
%------------------------------------------------------------------------------