%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM699^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:36 AM UTC 2026
% Result : Theorem 5.37s 1.22s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 108 ( 54 unt; 0 typ; 2 def)
% Number of atoms : 892 ( 139 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 1057 ( 25 ~; 68 |; 0 &; 826 @)
% ( 2 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 154 ( 150 usr; 9 con; 0-7 aty)
% ( 33 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 239 ( 0 sgn 38 !; 0 ?; 239 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
is_of: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
eps: ( $i > $o ) > $i ).
thf(func_def_4,type,
in: $i > $i > $o ).
thf(func_def_5,type,
d_Subq: $i > $i > $o ).
thf(func_def_7,type,
union: $i > $i ).
thf(func_def_8,type,
power: $i > $i ).
thf(func_def_9,type,
repl: $i > ( $i > $i ) > $i ).
thf(func_def_10,type,
d_Union_closed: $i > $o ).
thf(func_def_11,type,
d_Power_closed: $i > $o ).
thf(func_def_12,type,
d_Repl_closed: $i > $o ).
thf(func_def_13,type,
d_ZF_closed: $i > $o ).
thf(func_def_14,type,
univof: $i > $i ).
thf(func_def_15,type,
if: $o > $i > $i > $i ).
thf(func_def_16,type,
nIn: $i > $i > $o ).
thf(func_def_17,type,
d_UPair: $i > $i > $i ).
thf(func_def_18,type,
d_Sing: $i > $i ).
thf(func_def_19,type,
binunion: $i > $i > $i ).
thf(func_def_20,type,
famunion: $i > ( $i > $i ) > $i ).
thf(func_def_21,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_23,type,
setminus: $i > $i > $i ).
thf(func_def_24,type,
d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).
thf(func_def_25,type,
d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).
thf(func_def_26,type,
ordsucc: $i > $i ).
thf(func_def_27,type,
nat_p: $i > $o ).
thf(func_def_29,type,
d_Inj1: $i > $i ).
thf(func_def_30,type,
d_Inj0: $i > $i ).
thf(func_def_31,type,
d_Unj: $i > $i ).
thf(func_def_32,type,
pair: $i > $i > $i ).
thf(func_def_33,type,
proj0: $i > $i ).
thf(func_def_34,type,
proj1: $i > $i ).
thf(func_def_35,type,
d_Sigma: $i > ( $i > $i ) > $i ).
thf(func_def_36,type,
setprod: $i > $i > $i ).
thf(func_def_37,type,
ap: $i > $i > $i ).
thf(func_def_38,type,
pair_p: $i > $o ).
thf(func_def_39,type,
d_Pi: $i > ( $i > $i ) > $i ).
thf(func_def_40,type,
imp: $o > $o > $o ).
thf(func_def_41,type,
d_not: $o > $o ).
thf(func_def_42,type,
wel: $o > $o ).
thf(func_def_43,type,
obvious: $o ).
thf(func_def_44,type,
l_ec: $o > $o > $o ).
thf(func_def_45,type,
d_and: $o > $o > $o ).
thf(func_def_46,type,
l_or: $o > $o > $o ).
thf(func_def_47,type,
orec: $o > $o > $o ).
thf(func_def_48,type,
l_iff: $o > $o > $o ).
thf(func_def_49,type,
all: $i > ( $i > $o ) > $o ).
thf(func_def_50,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(func_def_51,type,
l_some: $i > ( $i > $o ) > $o ).
thf(func_def_52,type,
or3: $o > $o > $o > $o ).
thf(func_def_53,type,
and3: $o > $o > $o > $o ).
thf(func_def_54,type,
ec3: $o > $o > $o > $o ).
thf(func_def_55,type,
orec3: $o > $o > $o > $o ).
thf(func_def_56,type,
e_is: $i > $i > $i > $o ).
thf(func_def_57,type,
amone: $i > ( $i > $o ) > $o ).
thf(func_def_58,type,
one: $i > ( $i > $o ) > $o ).
thf(func_def_59,type,
ind: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
injective: $i > $i > $i > $o ).
thf(func_def_61,type,
image: $i > $i > $i > $i > $o ).
thf(func_def_62,type,
tofs: $i > $i > $i > $i > $i ).
thf(func_def_63,type,
soft: $i > $i > $i > $i > $i ).
thf(func_def_64,type,
inverse: $i > $i > $i > $i ).
thf(func_def_65,type,
surjective: $i > $i > $i > $o ).
thf(func_def_66,type,
bijective: $i > $i > $i > $o ).
thf(func_def_67,type,
invf: $i > $i > $i > $i ).
thf(func_def_68,type,
inj_h: $i > $i > $i > $i > $i > $i ).
thf(func_def_69,type,
e_in: $i > ( $i > $o ) > $i > $i ).
thf(func_def_70,type,
out: $i > ( $i > $o ) > $i > $i ).
thf(func_def_71,type,
d_pair: $i > $i > $i > $i > $i ).
thf(func_def_72,type,
first: $i > $i > $i > $i ).
thf(func_def_73,type,
second: $i > $i > $i > $i ).
thf(func_def_74,type,
prop1: $o > $i > $i > $i > $i > $o ).
thf(func_def_75,type,
ite: $o > $i > $i > $i > $i ).
thf(func_def_76,type,
wissel_wa: $i > $i > $i > $i > $i ).
thf(func_def_77,type,
wissel_wb: $i > $i > $i > $i > $i ).
thf(func_def_78,type,
wissel: $i > $i > $i > $i ).
thf(func_def_79,type,
changef: $i > $i > $i > $i > $i > $i ).
thf(func_def_80,type,
r_ec: $o > $o > $o ).
thf(func_def_81,type,
esti: $i > $i > $i > $o ).
thf(func_def_82,type,
empty: $i > $i > $o ).
thf(func_def_83,type,
nonempty: $i > $i > $o ).
thf(func_def_84,type,
incl: $i > $i > $i > $o ).
thf(func_def_85,type,
st_disj: $i > $i > $i > $o ).
thf(func_def_86,type,
nissetprop: $i > $i > $i > $i > $o ).
thf(func_def_87,type,
unmore: $i > $i > $i > $i ).
thf(func_def_88,type,
ecelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_89,type,
ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_90,type,
anec: $i > ( $i > $i > $o ) > $i > $o ).
thf(func_def_91,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
ectset: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_93,type,
ectelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_94,type,
ecect: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_95,type,
fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_96,type,
d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).
thf(func_def_97,type,
prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).
thf(func_def_98,type,
indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_99,type,
fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_100,type,
d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_101,type,
indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).
thf(func_def_103,type,
n_is: $i > $i > $o ).
thf(func_def_104,type,
nis: $i > $i > $o ).
thf(func_def_105,type,
n_in: $i > $i > $o ).
thf(func_def_106,type,
n_some: ( $i > $o ) > $o ).
thf(func_def_107,type,
n_all: ( $i > $o ) > $o ).
thf(func_def_108,type,
n_one: ( $i > $o ) > $o ).
thf(func_def_110,type,
cond1: $i > $o ).
thf(func_def_111,type,
cond2: $i > $o ).
thf(func_def_112,type,
i1_s: ( $i > $o ) > $i ).
thf(func_def_113,type,
d_22_prop1: $i > $o ).
thf(func_def_114,type,
d_23_prop1: $i > $o ).
thf(func_def_115,type,
d_24_prop1: $i > $o ).
thf(func_def_116,type,
d_24_prop2: $i > $i > $o ).
thf(func_def_117,type,
prop3: $i > $i > $i > $o ).
thf(func_def_118,type,
prop4: $i > $o ).
thf(func_def_119,type,
d_24_g: $i > $i ).
thf(func_def_120,type,
plus: $i > $i ).
thf(func_def_121,type,
n_pl: $i > $i > $i ).
thf(func_def_122,type,
d_25_prop1: $i > $i > $i > $o ).
thf(func_def_123,type,
d_26_prop1: $i > $i > $o ).
thf(func_def_124,type,
d_27_prop1: $i > $i > $o ).
thf(func_def_125,type,
d_28_prop1: $i > $i > $i > $o ).
thf(func_def_126,type,
diffprop: $i > $i > $i > $o ).
thf(func_def_127,type,
d_29_ii: $i > $i > $o ).
thf(func_def_128,type,
iii: $i > $i > $o ).
thf(func_def_129,type,
d_29_prop1: $i > $i > $o ).
thf(func_def_130,type,
moreis: $i > $i > $o ).
thf(func_def_131,type,
lessis: $i > $i > $o ).
thf(func_def_132,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_134,type,
vIMP: $o > $o > $o ).
thf(func_def_135,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_140,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_142,type,
vOR: $o > $o > $o ).
thf(func_def_143,type,
vAND: $o > $o > $o ).
thf(func_def_144,type,
vNOT: $o > $o ).
thf(func_def_145,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_146,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_148,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
sK0: ( $i > $o ) > $i ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f165,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( is_of @ ( ordsucc @ X0 )
@ ^ [X1: $i] : ( in @ X1 @ nat ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',suc_p) ).
thf(f215,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X0 @ X1 )
=> ( d_29_ii @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz12) ).
thf(f218,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( moreis @ X0 @ X1 )
=> ( lessis @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13) ).
thf(f271,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_29_ii @ X1 @ X0 )
=> ( moreis @ X1 @ ( ordsucc @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25a) ).
thf(f273,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X1 @ X0 )
=> ( lessis @ ( ordsucc @ X1 ) @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25c) ).
thf(f274,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X1 @ X0 )
=> ( lessis @ ( ordsucc @ X1 ) @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f273]) ).
thf(f300,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( moreis @ X1 @ X3 )
=> ( lessis @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f218]) ).
thf(f301,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f300]) ).
thf(f311,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( iii @ X3 @ X1 )
=> ( lessis @ ( ordsucc @ X3 ) @ X1 ) ) ) ),
inference(rectify,[],[f274]) ).
thf(f312,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f311]) ).
thf(f344,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f372,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f373,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f372]) ).
thf(f564,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( d_29_ii @ X3 @ X1 )
=> ( moreis @ X3 @ ( ordsucc @ X1 ) ) ) ) ),
inference(rectify,[],[f271]) ).
thf(f565,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_29_ii @ Y1 @ Y0 )
=> ( moreis @ Y1 @ ( ordsucc @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f564]) ).
thf(f595,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( iii @ X1 @ X3 )
=> ( d_29_ii @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f215]) ).
thf(f596,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y0 @ Y1 )
=> ( d_29_ii @ Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f595]) ).
thf(f604,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( is_of @ ( ordsucc @ X1 )
@ ^ [X2: $i] : ( in @ X2 @ nat ) ) ),
inference(rectify,[],[f165]) ).
thf(f605,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( is_of @ ( ordsucc @ Y0 )
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) ) )
= $true ),
inference(fool_elimination,[],[f604]) ).
thf(f728,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) )
!= $true ),
inference(flattening,[],[f312]) ).
thf(f743,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( is_of @ ( ordsucc @ Y0 )
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) ) )
= $true ),
inference(cnf_transformation,[],[f605]) ).
thf(f752,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f301]) ).
thf(f803,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y0 @ Y1 )
=> ( d_29_ii @ Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f596]) ).
thf(f807,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f373]) ).
thf(f810,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_29_ii @ Y1 @ Y0 )
=> ( moreis @ Y1 @ ( ordsucc @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f565]) ).
thf(f825,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f728]) ).
thf(f829,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f344]) ).
thf(f832,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,[],[f807,f829]) ).
thf(f839,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i > $o] : ( Y2 @ Y1 )
@ ( ordsucc @ Y0 )
@ ^ [Y1: $i] : ( in @ Y1 @ nat ) ) ) ),
inference(definition_unfolding,[],[f743,f832,f829]) ).
thf(f846,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] :
( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f752,f832,f832]) ).
thf(f891,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] :
( ( iii @ Y0 @ Y1 )
=> ( d_29_ii @ Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f803,f832,f832]) ).
thf(f897,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] :
( ( d_29_ii @ Y1 @ Y0 )
=> ( moreis @ Y1 @ ( ordsucc @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f810,f832,f832]) ).
thf(f911,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] :
( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f825,f832,f832]) ).
thf(f968,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f846]) ).
thf(f969,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f968]) ).
thf(f970,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( moreis @ X1 @ Y0 )
=> ( lessis @ Y0 @ X1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f969]) ).
thf(f971,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( moreis @ X1 @ Y0 )
=> ( lessis @ Y0 @ X1 ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f970]) ).
thf(f972,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( moreis @ X1 @ Y0 )
=> ( lessis @ Y0 @ X1 ) ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f971]) ).
thf(f973,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ X2 @ nat )
=> ( ( moreis @ X1 @ X2 )
=> ( lessis @ X2 @ X1 ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f972]) ).
thf(f974,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ( moreis @ X1 @ X2 )
=> ( lessis @ X2 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f973]) ).
thf(f975,plain,
! [X2: $i,X1: $i] :
( ( ( lessis @ X2 @ X1 )
= $true )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( moreis @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f974]) ).
thf(f1237,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( iii @ Y0 @ Y1 )
=> ( d_29_ii @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f891]) ).
thf(f1238,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( iii @ Y0 @ Y1 )
=> ( d_29_ii @ Y1 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1237]) ).
thf(f1239,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ X1 @ Y0 )
=> ( d_29_ii @ Y0 @ X1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1238]) ).
thf(f1240,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ X1 @ Y0 )
=> ( d_29_ii @ Y0 @ X1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1239]) ).
thf(f1241,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ X1 @ Y0 )
=> ( d_29_ii @ Y0 @ X1 ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f1240]) ).
thf(f1242,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ X2 @ nat )
=> ( ( iii @ X1 @ X2 )
=> ( d_29_ii @ X2 @ X1 ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1241]) ).
thf(f1243,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ( iii @ X1 @ X2 )
=> ( d_29_ii @ X2 @ X1 ) )
= $true )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1242]) ).
thf(f1244,plain,
! [X2: $i,X1: $i] :
( ( ( iii @ X1 @ X2 )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( d_29_ii @ X2 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f1243]) ).
thf(f1494,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( in @ ( ordsucc @ Y0 ) @ nat ) ) ) ),
inference(beta-eta_normalization,[],[f839]) ).
thf(f1495,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( in @ ( ordsucc @ Y0 ) @ nat ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1494]) ).
thf(f1496,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( in @ ( ordsucc @ X1 ) @ nat ) )
= $true ),
inference(beta-eta_normalization,[],[f1495]) ).
thf(f1497,plain,
! [X1: $i] :
( ( ( in @ ( ordsucc @ X1 ) @ nat )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1496]) ).
thf(f1537,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( d_29_ii @ Y1 @ Y0 )
=> ( moreis @ Y1 @ ( ordsucc @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f897]) ).
thf(f1538,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( d_29_ii @ Y1 @ Y0 )
=> ( moreis @ Y1 @ ( ordsucc @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1537]) ).
thf(f1539,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( d_29_ii @ Y0 @ X1 )
=> ( moreis @ Y0 @ ( ordsucc @ X1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1538]) ).
thf(f1540,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( d_29_ii @ Y0 @ X1 )
=> ( moreis @ Y0 @ ( ordsucc @ X1 ) ) ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1539]) ).
thf(f1541,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( d_29_ii @ Y0 @ X1 )
=> ( moreis @ Y0 @ ( ordsucc @ X1 ) ) ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1540]) ).
thf(f1542,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( in @ X2 @ nat )
=> ( ( d_29_ii @ X2 @ X1 )
=> ( moreis @ X2 @ ( ordsucc @ X1 ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1541]) ).
thf(f1543,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( d_29_ii @ X2 @ X1 )
=> ( moreis @ X2 @ ( ordsucc @ X1 ) ) ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1542]) ).
thf(f1544,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( moreis @ X2 @ ( ordsucc @ X1 ) ) )
| ( ( d_29_ii @ X2 @ X1 )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1543]) ).
thf(f1587,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f911]) ).
thf(f1588,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( iii @ Y1 @ Y0 )
=> ( lessis @ ( ordsucc @ Y1 ) @ Y0 ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f1587]) ).
thf(f1589,plain,
( $false
= ( ( in @ sK1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ Y0 @ sK1 )
=> ( lessis @ ( ordsucc @ Y0 ) @ sK1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1588]) ).
thf(f1590,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ Y0 @ sK1 )
=> ( lessis @ ( ordsucc @ Y0 ) @ sK1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1589]) ).
thf(f1591,plain,
( ( in @ sK1 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f1589]) ).
thf(f1592,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( iii @ Y0 @ sK1 )
=> ( lessis @ ( ordsucc @ Y0 ) @ sK1 ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f1590]) ).
thf(f1593,plain,
( $false
= ( ( in @ sK2 @ nat )
=> ( ( iii @ sK2 @ sK1 )
=> ( lessis @ ( ordsucc @ sK2 ) @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f1592]) ).
thf(f1594,plain,
( $false
= ( ( iii @ sK2 @ sK1 )
=> ( lessis @ ( ordsucc @ sK2 ) @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f1593]) ).
thf(f1595,plain,
( $true
= ( in @ sK2 @ nat ) ),
inference(imp_proxy_clausification,[],[f1593]) ).
thf(f1596,plain,
( ( lessis @ ( ordsucc @ sK2 ) @ sK1 )
= $false ),
inference(imp_proxy_clausification,[],[f1594]) ).
thf(f1597,plain,
( ( iii @ sK2 @ sK1 )
= $true ),
inference(imp_proxy_clausification,[],[f1594]) ).
thf(f1872,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false = $true )
| ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false )
| ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false ) ),
inference(superposition,[],[f975,f1596]) ).
thf(f1881,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false )
| ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1872]) ).
thf(f1884,plain,
( ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false )
| ( $false = $true )
| ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false ) ),
inference(forward_demodulation,[],[f1881,f1591]) ).
thf(f1885,plain,
( ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false )
| ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1884]) ).
thf(f1887,definition,
( spl3_13
<=> ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
thf(f1889,plain,
( ( ( in @ ( ordsucc @ sK2 ) @ nat )
= $false )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f1887]) ).
thf(f1891,definition,
( spl3_14
<=> ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
thf(f1893,plain,
( ( ( moreis @ sK1 @ ( ordsucc @ sK2 ) )
= $false )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f1891]) ).
thf(f1895,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f1885,f1891,f1887]) ).
thf(f1898,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( $false = $true )
| ~ spl3_13 ),
inference(superposition,[],[f1497,f1889]) ).
thf(f1900,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f1898]) ).
thf(f1913,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( in @ sK2 @ nat ) )
| ( ( d_29_ii @ sK1 @ sK2 )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f1597,f1244]) ).
thf(f1921,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ sK1 @ nat )
= $false )
| ( ( d_29_ii @ sK1 @ sK2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1913]) ).
thf(f1930,plain,
( ( $false = $true )
| ~ spl3_13 ),
inference(superposition,[],[f1900,f1595]) ).
thf(f1937,plain,
( $false
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f1930]) ).
thf(f1938,plain,
~ spl3_13,
inference(avatar_contradiction_clause,[],[f1937]) ).
thf(f1939,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( ( d_29_ii @ sK1 @ sK2 )
= $true )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f1921,f1595]) ).
thf(f1940,plain,
( ( ( d_29_ii @ sK1 @ sK2 )
= $true )
| ( ( in @ sK1 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1939]) ).
thf(f1943,plain,
( ( $false = $true )
| ( ( d_29_ii @ sK1 @ sK2 )
= $true ) ),
inference(forward_demodulation,[],[f1940,f1591]) ).
thf(f1944,plain,
( ( d_29_ii @ sK1 @ sK2 )
= $true ),
inference(trivial_inequality_removal,[],[f1943]) ).
thf(f2151,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ( ( in @ sK1 @ nat )
= $false )
| ( $false = $true )
| ~ spl3_14 ),
inference(superposition,[],[f1544,f1893]) ).
thf(f2154,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ( ( in @ sK1 @ nat )
= $false )
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f2151]) ).
thf(f2157,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ( $false = $true )
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2154,f1595]) ).
thf(f2158,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f2157]) ).
thf(f2161,plain,
( ( $false = $true )
| ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2158,f1591]) ).
thf(f2162,plain,
( ( $false
= ( d_29_ii @ sK1 @ sK2 ) )
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f2161]) ).
thf(f2190,plain,
( ( $false = $true )
| ~ spl3_14 ),
inference(superposition,[],[f1944,f2162]) ).
thf(f2196,plain,
( $false
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f2190]) ).
thf(f2197,plain,
~ spl3_14,
inference(avatar_contradiction_clause,[],[f2196]) ).
cnf(s14,plain,
( spl3_13
| spl3_14 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s16,plain,
~ spl3_13,
inference(sat_conversion,[],[f1938]) ).
cnf(s21,plain,
~ spl3_14,
inference(sat_conversion,[],[f2197]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s14,s21,s16]) ).
thf(f2207,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM699^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n005.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Tue Sep 29 12:41:16 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running higher-order theorem proving
% 0.34/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/0.58 % (1605314)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.33/0.58 % (1605325)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.33/0.58 % (1605325)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.33/0.58 % (1605323)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3469879155:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.33/0.58 % (1605325)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=3964342523:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.33/0.58 % (1605323)Instruction limit reached!
% 1.33/0.58 % (1605323)------------------------------
% 1.33/0.58 % (1605323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.58 % (1605323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.58 % (1605323)CaDiCaL version: 2.1.3
% 1.33/0.58 % (1605323)Termination reason: Instruction limit
% 1.33/0.58 % (1605323)Termination phase: shuffling
% 1.33/0.58 % (1605323)Time elapsed: 0.011 s
% 1.33/0.58 % (1605323)Peak memory usage: 10 MB
% 1.33/0.58 % (1605323)Instructions burned: 25 (million)
% 1.33/0.58 % (1605319)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3831681392:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.33/0.58 % (1605320)lrs+10_16_si=on:nwc=1.5:random_seed=3537887990:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.33/0.58 % (1605321)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=369312807:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.33/0.58 % (1605324)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3335724099:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.33/0.58 % (1605322)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=3567113626:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.33/0.58 % (1605321)Instruction limit reached!
% 1.33/0.58 % (1605321)------------------------------
% 1.33/0.58 % (1605321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.58 % (1605321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.58 % (1605321)CaDiCaL version: 2.1.3
% 1.33/0.58 % (1605321)Termination reason: Instruction limit
% 1.33/0.58 % (1605321)Termination phase: shuffling
% 1.33/0.58 % (1605321)Time elapsed: 0.003 s
% 1.33/0.58 % (1605321)Peak memory usage: 10 MB
% 1.33/0.58 % (1605321)Instructions burned: 3 (million)
% 1.33/0.58 % (1605320)Instruction limit reached!
% 1.33/0.58 % (1605320)------------------------------
% 1.33/0.58 % (1605320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.58 % (1605320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.58 % (1605320)CaDiCaL version: 2.1.3
% 1.33/0.58 % (1605320)Termination reason: Instruction limit
% 1.33/0.58 % (1605320)Termination phase: shuffling
% 1.33/0.58 % (1605320)Time elapsed: 0.015 s
% 1.33/0.58 % (1605320)Peak memory usage: 10 MB
% 1.33/0.58 % (1605320)Instructions burned: 18 (million)
% 1.33/0.58 % (1605328)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1594101657:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.33/0.58 % (1605328)Instruction limit reached!
% 1.33/0.58 % (1605328)------------------------------
% 1.33/0.58 % (1605328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.58 % (1605328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.58 % (1605328)CaDiCaL version: 2.1.3
% 1.33/0.58 % (1605328)Termination reason: Instruction limit
% 1.33/0.58 % (1605328)Termination phase: shuffling
% 1.33/0.58 % (1605328)Time elapsed: 0.001 s
% 1.33/0.58 % (1605328)Peak memory usage: 10 MB
% 1.33/0.58 % (1605328)Instructions burned: 3 (million)
% 1.33/0.58 % (1605337)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1898124883:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.33/0.61 % (1605334)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3293094928:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.33/0.61 % (1605337)Instruction limit reached!
% 1.33/0.61 % (1605337)------------------------------
% 1.33/0.61 % (1605337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.61 % (1605337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.61 % (1605337)CaDiCaL version: 2.1.3
% 1.33/0.61 % (1605337)Termination reason: Instruction limit
% 1.33/0.61 % (1605337)Termination phase: shuffling
% 1.33/0.61 % (1605337)Time elapsed: 0.005 s
% 1.33/0.61 % (1605337)Peak memory usage: 10 MB
% 1.33/0.61 % (1605337)Instructions burned: 12 (million)
% 1.33/0.61 % (1605334)Instruction limit reached!
% 1.33/0.61 % (1605334)------------------------------
% 1.33/0.61 % (1605334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.61 % (1605334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.61 % (1605334)CaDiCaL version: 2.1.3
% 1.33/0.61 % (1605334)Termination reason: Instruction limit
% 1.33/0.61 % (1605334)Termination phase: shuffling
% 1.33/0.61 % (1605334)Time elapsed: 0.005 s
% 1.33/0.61 % (1605334)Peak memory usage: 10 MB
% 1.33/0.61 % (1605334)Instructions burned: 6 (million)
% 1.33/0.61 % (1605336)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.33/0.61 % (1605336)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2268025230:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.33/0.61 % (1605340)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.33/0.61 % (1605340)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.33/0.61 % (1605336)Instruction limit reached!
% 1.33/0.61 % (1605336)------------------------------
% 1.33/0.61 % (1605336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.61 % (1605336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.61 % (1605336)CaDiCaL version: 2.1.3
% 1.33/0.61 % (1605336)Termination reason: Instruction limit
% 1.33/0.61 % (1605336)Termination phase: shuffling
% 1.33/0.61 % (1605336)Time elapsed: 0.007 s
% 1.33/0.61 % (1605336)Peak memory usage: 10 MB
% 1.33/0.61 % (1605336)Instructions burned: 7 (million)
% 1.33/0.61 % (1605324)Instruction limit reached!
% 1.33/0.61 % (1605324)------------------------------
% 1.33/0.61 % (1605324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.61 % (1605340)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1421176503:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.33/0.61 % (1605324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.61 % (1605324)CaDiCaL version: 2.1.3
% 1.33/0.61 % (1605324)Termination reason: Instruction limit
% 1.33/0.61 % (1605324)Termination phase: Property scanning
% 1.33/0.61 % (1605324)Time elapsed: 0.060 s
% 1.33/0.61 % (1605324)Peak memory usage: 11 MB
% 1.33/0.61 % (1605324)Instructions burned: 75 (million)
% 1.33/0.61 % (1605319)Instruction limit reached!
% 1.33/0.61 % (1605319)------------------------------
% 1.33/0.61 % (1605319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.61 % (1605319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.61 % (1605319)CaDiCaL version: 2.1.3
% 1.33/0.61 % (1605319)Termination reason: Instruction limit
% 1.33/0.61 % (1605319)Termination phase: Function definition elimination
% 1.33/0.61 % (1605319)Time elapsed: 0.070 s
% 1.33/0.61 % (1605319)Peak memory usage: 11 MB
% 1.33/0.61 % (1605319)Instructions burned: 88 (million)
% 1.33/0.61 % (1605341)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=3172634146:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.33/0.61 % (1605343)lrs+10_1_si=on:cs=on:random_seed=2369232877:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.33/0.61 % (1605340)Instruction limit reached!
% 1.68/0.66 % (1605340)------------------------------
% 1.68/0.66 % (1605340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605340)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605340)Termination reason: Instruction limit
% 1.68/0.66 % (1605340)Termination phase: Property scanning
% 1.68/0.66 % (1605340)Time elapsed: 0.014 s
% 1.68/0.66 % (1605340)Peak memory usage: 11 MB
% 1.68/0.66 % (1605340)Instructions burned: 29 (million)
% 1.68/0.66 % (1605343)Instruction limit reached!
% 1.68/0.66 % (1605343)------------------------------
% 1.68/0.66 % (1605343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605343)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605343)Termination reason: Instruction limit
% 1.68/0.66 % (1605343)Termination phase: shuffling
% 1.68/0.66 % (1605343)Time elapsed: 0.004 s
% 1.68/0.66 % (1605343)Peak memory usage: 10 MB
% 1.68/0.66 % (1605343)Instructions burned: 8 (million)
% 1.68/0.66 % (1605345)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.68/0.66 % (1605345)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=748327227:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.68/0.66 % (1605350)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=403313437:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.68/0.66 % (1605345)Instruction limit reached!
% 1.68/0.66 % (1605345)------------------------------
% 1.68/0.66 % (1605345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605345)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605345)Termination reason: Instruction limit
% 1.68/0.66 % (1605345)Termination phase: shuffling
% 1.68/0.66 % (1605345)Time elapsed: 0.004 s
% 1.68/0.66 % (1605345)Peak memory usage: 10 MB
% 1.68/0.66 % (1605345)Instructions burned: 4 (million)
% 1.68/0.66 % (1605325)Instruction limit reached!
% 1.68/0.66 % (1605325)------------------------------
% 1.68/0.66 % (1605325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605325)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605325)Termination reason: Instruction limit
% 1.68/0.66 % (1605325)Termination phase: Function definition elimination
% 1.68/0.66 % (1605325)Time elapsed: 0.109 s
% 1.68/0.66 % (1605325)Peak memory usage: 11 MB
% 1.68/0.66 % (1605325)Instructions burned: 158 (million)
% 1.68/0.66 % (1605347)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=473767581:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.68/0.66 % (1605351)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3739339505:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.68/0.66 % (1605350)Refutation not found, incomplete strategy
% 1.68/0.66 % (1605350)------------------------------
% 1.68/0.66 % (1605350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605350)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605350)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.66 % (1605350)Time elapsed: 0.030 s
% 1.68/0.66 % (1605350)Peak memory usage: 12 MB
% 1.68/0.66 % (1605350)Instructions burned: 70 (million)
% 1.68/0.66 % (1605350)------------------------------
% 1.68/0.66 % (1605350)------------------------------
% 1.68/0.66 % (1605347)Instruction limit reached!
% 1.68/0.66 % (1605347)------------------------------
% 1.68/0.66 % (1605347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (1605347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (1605347)CaDiCaL version: 2.1.3
% 1.68/0.66 % (1605347)Termination reason: Instruction limit
% 1.68/0.66 % (1605347)Termination phase: Property scanning
% 1.68/0.66 % (1605347)Time elapsed: 0.031 s
% 1.68/0.66 % (1605356)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1948698342:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.05/0.73 % (1605347)Peak memory usage: 11 MB
% 2.05/0.73 % (1605347)Instructions burned: 39 (million)
% 2.05/0.73 % (1605351)Instruction limit reached!
% 2.05/0.73 % (1605351)------------------------------
% 2.05/0.73 % (1605351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605351)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605351)Termination reason: Instruction limit
% 2.05/0.73 % (1605351)Termination phase: shuffling
% 2.05/0.73 % (1605351)Time elapsed: 0.021 s
% 2.05/0.73 % (1605351)Peak memory usage: 11 MB
% 2.05/0.73 % (1605351)Instructions burned: 25 (million)
% 2.05/0.73 % (1605355)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=137432823:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.05/0.73 % (1605341)Instruction limit reached!
% 2.05/0.73 % (1605341)------------------------------
% 2.05/0.73 % (1605341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605341)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605341)Termination reason: Instruction limit
% 2.05/0.73 % (1605341)Termination phase: Function definition elimination
% 2.05/0.73 % (1605341)Time elapsed: 0.068 s
% 2.05/0.73 % (1605341)Peak memory usage: 11 MB
% 2.05/0.73 % (1605341)Instructions burned: 87 (million)
% 2.05/0.73 % (1605359)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=244899555:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.05/0.73 % (1605355)Instruction limit reached!
% 2.05/0.73 % (1605355)------------------------------
% 2.05/0.73 % (1605355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605355)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605355)Termination reason: Instruction limit
% 2.05/0.73 % (1605355)Termination phase: shuffling
% 2.05/0.73 % (1605355)Time elapsed: 0.013 s
% 2.05/0.73 % (1605355)Peak memory usage: 10 MB
% 2.05/0.73 % (1605355)Instructions burned: 15 (million)
% 2.05/0.73 % (1605362)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2749325698:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.05/0.73 % (1605359)Instruction limit reached!
% 2.05/0.73 % (1605359)------------------------------
% 2.05/0.73 % (1605359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605359)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605359)Termination reason: Instruction limit
% 2.05/0.73 % (1605359)Termination phase: shuffling
% 2.05/0.73 % (1605359)Time elapsed: 0.013 s
% 2.05/0.73 % (1605359)Peak memory usage: 10 MB
% 2.05/0.73 % (1605359)Instructions burned: 15 (million)
% 2.05/0.73 % (1605362)Instruction limit reached!
% 2.05/0.73 % (1605362)------------------------------
% 2.05/0.73 % (1605362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605362)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605362)Termination reason: Instruction limit
% 2.05/0.73 % (1605362)Termination phase: Property scanning
% 2.05/0.73 % (1605362)Time elapsed: 0.012 s
% 2.05/0.73 % (1605362)Peak memory usage: 10 MB
% 2.05/0.73 % (1605362)Instructions burned: 28 (million)
% 2.05/0.73 % (1605361)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2328152319:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.05/0.73 % (1605361)Instruction limit reached!
% 2.05/0.73 % (1605361)------------------------------
% 2.05/0.73 % (1605361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.73 % (1605361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.73 % (1605361)CaDiCaL version: 2.1.3
% 2.05/0.73 % (1605361)Termination reason: Instruction limit
% 2.05/0.73 % (1605361)Termination phase: shuffling
% 2.05/0.73 % (1605361)Time elapsed: 0.002 s
% 2.05/0.73 % (1605361)Peak memory usage: 10 MB
% 2.05/0.73 % (1605361)Instructions burned: 2 (million)
% 2.31/0.85 % (1605366)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1109142899:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.31/0.85 % (1605364)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3621658602:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.85 % (1605368)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.31/0.85 % (1605368)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.31/0.85 % (1605368)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=4260342630:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.31/0.85 % (1605368)Instruction limit reached!
% 2.31/0.85 % (1605368)------------------------------
% 2.31/0.85 % (1605368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85 % (1605368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85 % (1605368)CaDiCaL version: 2.1.3
% 2.31/0.85 % (1605368)Termination reason: Instruction limit
% 2.31/0.85 % (1605368)Termination phase: shuffling
% 2.31/0.85 % (1605368)Time elapsed: 0.006 s
% 2.31/0.85 % (1605368)Peak memory usage: 10 MB
% 2.31/0.85 % (1605368)Instructions burned: 14 (million)
% 2.31/0.85 % (1605371)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=2613071611:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.31/0.85 % (1605370)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.31/0.85 % (1605370)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=3801457701:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.31/0.85 % (1605364)Instruction limit reached!
% 2.31/0.85 % (1605364)------------------------------
% 2.31/0.85 % (1605364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85 % (1605364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85 % (1605364)CaDiCaL version: 2.1.3
% 2.31/0.85 % (1605364)Termination reason: Instruction limit
% 2.31/0.85 % (1605364)Termination phase: shuffling
% 2.31/0.85 % (1605364)Time elapsed: 0.019 s
% 2.31/0.85 % (1605364)Peak memory usage: 10 MB
% 2.31/0.85 % (1605364)Instructions burned: 23 (million)
% 2.31/0.85 % (1605370)Instruction limit reached!
% 2.31/0.85 % (1605370)------------------------------
% 2.31/0.85 % (1605370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85 % (1605370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85 % (1605370)CaDiCaL version: 2.1.3
% 2.31/0.85 % (1605370)Termination reason: Instruction limit
% 2.31/0.85 % (1605370)Termination phase: shuffling
% 2.31/0.85 % (1605370)Time elapsed: 0.007 s
% 2.31/0.85 % (1605370)Peak memory usage: 10 MB
% 2.31/0.85 % (1605370)Instructions burned: 9 (million)
% 2.31/0.85 % (1605375)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3383462304:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.85 % (1605375)Instruction limit reached!
% 2.31/0.85 % (1605375)------------------------------
% 2.31/0.85 % (1605375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85 % (1605375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85 % (1605375)CaDiCaL version: 2.1.3
% 2.31/0.85 % (1605375)Termination reason: Instruction limit
% 2.31/0.85 % (1605375)Termination phase: shuffling
% 2.31/0.85 % (1605375)Time elapsed: 0.004 s
% 2.31/0.85 % (1605375)Peak memory usage: 10 MB
% 2.31/0.85 % (1605375)Instructions burned: 10 (million)
% 2.31/0.85 % (1605371)Instruction limit reached!
% 2.31/0.85 % (1605371)------------------------------
% 2.31/0.85 % (1605371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85 % (1605371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85 % (1605371)CaDiCaL version: 2.1.3
% 2.31/0.85 % (1605371)Termination reason: Instruction limit
% 3.27/0.94 % (1605371)Termination phase: Property scanning
% 3.27/0.94 % (1605371)Time elapsed: 0.028 s
% 3.27/0.94 % (1605371)Peak memory usage: 10 MB
% 3.27/0.94 % (1605371)Instructions burned: 33 (million)
% 3.27/0.94 % (1605366)Instruction limit reached!
% 3.27/0.94 % (1605366)------------------------------
% 3.27/0.94 % (1605366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.94 % (1605366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.94 % (1605366)CaDiCaL version: 2.1.3
% 3.27/0.94 % (1605366)Termination reason: Instruction limit
% 3.27/0.94 % (1605366)Termination phase: Property scanning
% 3.27/0.94 % (1605366)Time elapsed: 0.048 s
% 3.27/0.94 % (1605366)Peak memory usage: 11 MB
% 3.27/0.94 % (1605366)Instructions burned: 60 (million)
% 3.27/0.94 % (1605378)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=857557996:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.27/0.94 % (1605380)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2440646796:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.27/0.94 % (1605383)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1117269928:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.27/0.94 % (1605380)Instruction limit reached!
% 3.27/0.94 % (1605380)------------------------------
% 3.27/0.94 % (1605380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.94 % (1605380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.94 % (1605380)CaDiCaL version: 2.1.3
% 3.27/0.94 % (1605380)Termination reason: Instruction limit
% 3.27/0.94 % (1605380)Termination phase: shuffling
% 3.27/0.94 % (1605380)Time elapsed: 0.016 s
% 3.27/0.94 % (1605380)Peak memory usage: 10 MB
% 3.27/0.94 % (1605380)Instructions burned: 20 (million)
% 3.27/0.94 % (1605378)Instruction limit reached!
% 3.27/0.94 % (1605378)------------------------------
% 3.27/0.94 % (1605378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.94 % (1605378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.94 % (1605381)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2854985348:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.27/0.94 % (1605378)CaDiCaL version: 2.1.3
% 3.27/0.94 % (1605378)Termination reason: Instruction limit
% 3.27/0.94 % (1605378)Termination phase: shuffling
% 3.27/0.94 % (1605378)Time elapsed: 0.020 s
% 3.27/0.94 % (1605378)Peak memory usage: 10 MB
% 3.27/0.94 % (1605378)Instructions burned: 24 (million)
% 3.27/0.94 % (1605382)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2390122605:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.27/0.94 % (1605387)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1215016669:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 3.27/0.94 % (1605389)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.27/0.94 % (1605389)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3009920357:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 3.27/0.94 % (1605387)Instruction limit reached!
% 3.27/0.94 % (1605387)------------------------------
% 3.27/0.94 % (1605387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.94 % (1605387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.94 % (1605387)CaDiCaL version: 2.1.3
% 3.27/0.94 % (1605387)Termination reason: Instruction limit
% 3.27/0.94 % (1605387)Termination phase: Property scanning
% 3.27/0.94 % (1605387)Time elapsed: 0.018 s
% 3.27/0.94 % (1605387)Peak memory usage: 11 MB
% 3.27/0.94 % (1605387)Instructions burned: 42 (million)
% 3.27/0.94 % (1605389)Instruction limit reached!
% 3.27/0.94 % (1605389)------------------------------
% 3.27/0.94 % (1605389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.94 % (1605389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.94 % (1605389)CaDiCaL version: 2.1.3
% 3.27/0.94 % (1605389)Termination reason: Instruction limit
% 3.27/0.94 % (1605389)Termination phase: shuffling
% 3.27/0.94 % (1605389)Time elapsed: 0.006 s
% 3.27/0.94 % (1605389)Peak memory usage: 10 MB
% 4.63/1.04 % (1605389)Instructions burned: 7 (million)
% 4.63/1.04 % (1605393)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=65612169:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 4.63/1.04 % (1605394)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=2641888139:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 4.63/1.04 % (1605394)Refutation not found, incomplete strategy
% 4.63/1.04 % (1605394)------------------------------
% 4.63/1.04 % (1605394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605394)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605394)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.04 % (1605394)Time elapsed: 0.046 s
% 4.63/1.04 % (1605394)Peak memory usage: 13 MB
% 4.63/1.04 % (1605394)Instructions burned: 110 (million)
% 4.63/1.04 % (1605394)------------------------------
% 4.63/1.04 % (1605394)------------------------------
% 4.63/1.04 % (1605382)Instruction limit reached!
% 4.63/1.04 % (1605382)------------------------------
% 4.63/1.04 % (1605382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605382)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605382)Termination reason: Instruction limit
% 4.63/1.04 % (1605382)Termination phase: Function definition elimination
% 4.63/1.04 % (1605382)Time elapsed: 0.104 s
% 4.63/1.04 % (1605382)Peak memory usage: 11 MB
% 4.63/1.04 % (1605382)Instructions burned: 148 (million)
% 4.63/1.04 % (1605397)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.63/1.04 % (1605397)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=574740084:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 4.63/1.04 % (1605398)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=360002946:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.63/1.04 % (1605397)Instruction limit reached!
% 4.63/1.04 % (1605397)------------------------------
% 4.63/1.04 % (1605397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605397)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605397)Termination reason: Instruction limit
% 4.63/1.04 % (1605397)Termination phase: shuffling
% 4.63/1.04 % (1605397)Time elapsed: 0.006 s
% 4.63/1.04 % (1605397)Peak memory usage: 10 MB
% 4.63/1.04 % (1605397)Instructions burned: 7 (million)
% 4.63/1.04 % (1605393)Instruction limit reached!
% 4.63/1.04 % (1605393)------------------------------
% 4.63/1.04 % (1605393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605393)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605393)Termination reason: Instruction limit
% 4.63/1.04 % (1605393)Termination phase: Saturation
% 4.63/1.04 % (1605393)Time elapsed: 0.089 s
% 4.63/1.04 % (1605393)Peak memory usage: 14 MB
% 4.63/1.04 % (1605393)Instructions burned: 181 (million)
% 4.63/1.04 % (1605356)Instruction limit reached!
% 4.63/1.04 % (1605356)------------------------------
% 4.63/1.04 % (1605356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605356)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605356)Termination reason: Instruction limit
% 4.63/1.04 % (1605356)Termination phase: Saturation
% 4.63/1.04 % (1605356)Time elapsed: 0.263 s
% 4.63/1.04 % (1605356)Peak memory usage: 14 MB
% 4.63/1.04 % (1605356)Instructions burned: 328 (million)
% 4.63/1.04 % (1605383)Instruction limit reached!
% 4.63/1.04 % (1605383)------------------------------
% 4.63/1.04 % (1605383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.04 % (1605383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.04 % (1605383)CaDiCaL version: 2.1.3
% 4.63/1.04 % (1605383)Termination reason: Instruction limit
% 4.63/1.13 % (1605383)Termination phase: Saturation
% 4.63/1.13 % (1605383)Time elapsed: 0.157 s
% 4.63/1.13 % (1605383)Peak memory usage: 14 MB
% 4.63/1.13 % (1605383)Instructions burned: 193 (million)
% 4.63/1.13 % (1605398)Instruction limit reached!
% 4.63/1.13 % (1605398)------------------------------
% 4.63/1.13 % (1605398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.13 % (1605398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.13 % (1605398)CaDiCaL version: 2.1.3
% 4.63/1.13 % (1605398)Termination reason: Instruction limit
% 4.63/1.13 % (1605398)Termination phase: shuffling
% 4.63/1.13 % (1605398)Time elapsed: 0.018 s
% 4.63/1.13 % (1605398)Peak memory usage: 10 MB
% 4.63/1.13 % (1605398)Instructions burned: 22 (million)
% 4.63/1.13 % (1605402)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=2331256670:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 4.63/1.13 % (1605401)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4291398023:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.63/1.13 % (1605405)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3225120698:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 4.63/1.13 % (1605403)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=228338745:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 4.63/1.13 % (1605404)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=1217023136:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 4.63/1.13 % (1605401)Instruction limit reached!
% 4.63/1.13 % (1605401)------------------------------
% 4.63/1.13 % (1605401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.13 % (1605401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.13 % (1605401)CaDiCaL version: 2.1.3
% 4.63/1.13 % (1605401)Termination reason: Instruction limit
% 4.63/1.13 % (1605401)Termination phase: shuffling
% 4.63/1.13 % (1605401)Time elapsed: 0.016 s
% 4.63/1.13 % (1605401)Peak memory usage: 10 MB
% 4.63/1.13 % (1605401)Instructions burned: 19 (million)
% 4.63/1.13 % (1605404)Instruction limit reached!
% 4.63/1.13 % (1605404)------------------------------
% 4.63/1.13 % (1605404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.13 % (1605404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.13 % (1605404)CaDiCaL version: 2.1.3
% 4.63/1.13 % (1605404)Termination reason: Instruction limit
% 4.63/1.13 % (1605404)Termination phase: Property scanning
% 4.63/1.13 % (1605404)Time elapsed: 0.036 s
% 4.63/1.13 % (1605404)Peak memory usage: 10 MB
% 4.63/1.13 % (1605404)Instructions burned: 45 (million)
% 4.63/1.13 % (1605405)Refutation not found, incomplete strategy
% 4.63/1.13 % (1605405)------------------------------
% 4.63/1.13 % (1605405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.13 % (1605405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.13 % (1605405)CaDiCaL version: 2.1.3
% 4.63/1.13 % (1605405)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.13 % (1605405)Time elapsed: 0.050 s
% 4.63/1.13 % (1605405)Peak memory usage: 14 MB
% 4.63/1.13 % (1605405)Instructions burned: 116 (million)
% 4.63/1.13 % (1605405)------------------------------
% 4.63/1.13 % (1605405)------------------------------
% 4.63/1.13 % (1605411)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3804033433:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 4.63/1.13 % (1605414)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1708850397:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.63/1.13 % (1605411)Instruction limit reached!
% 4.63/1.13 % (1605411)------------------------------
% 4.63/1.13 % (1605411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.13 % (1605411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605411)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605411)Termination reason: Instruction limit
% 5.37/1.22 % (1605411)Termination phase: shuffling
% 5.37/1.22 % (1605411)Time elapsed: 0.018 s
% 5.37/1.22 % (1605411)Peak memory usage: 10 MB
% 5.37/1.22 % (1605411)Instructions burned: 21 (million)
% 5.37/1.22 % (1605412)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.37/1.22 % (1605414)Instruction limit reached!
% 5.37/1.22 % (1605414)------------------------------
% 5.37/1.22 % (1605414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605414)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605414)Termination reason: Instruction limit
% 5.37/1.22 % (1605414)Termination phase: shuffling
% 5.37/1.22 % (1605414)Time elapsed: 0.007 s
% 5.37/1.22 % (1605414)Peak memory usage: 10 MB
% 5.37/1.22 % (1605414)Instructions burned: 15 (million)
% 5.37/1.22 % (1605412)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=991721321:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.37/1.22 % (1605416)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=1586979189:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.37/1.22 % (1605417)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2014125732:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.37/1.22 % (1605417)Instruction limit reached!
% 5.37/1.22 % (1605417)------------------------------
% 5.37/1.22 % (1605417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605417)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605417)Termination reason: Instruction limit
% 5.37/1.22 % (1605417)Termination phase: Property scanning
% 5.37/1.22 % (1605417)Time elapsed: 0.021 s
% 5.37/1.22 % (1605417)Peak memory usage: 11 MB
% 5.37/1.22 % (1605417)Instructions burned: 51 (million)
% 5.37/1.22 % (1605416)Instruction limit reached!
% 5.37/1.22 % (1605416)------------------------------
% 5.37/1.22 % (1605416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605416)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605416)Termination reason: Instruction limit
% 5.37/1.22 % (1605416)Termination phase: Property scanning
% 5.37/1.22 % (1605416)Time elapsed: 0.032 s
% 5.37/1.22 % (1605416)Peak memory usage: 11 MB
% 5.37/1.22 % (1605416)Instructions burned: 68 (million)
% 5.37/1.22 % (1605322)Instruction limit reached!
% 5.37/1.22 % (1605322)------------------------------
% 5.37/1.22 % (1605322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605322)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605322)Termination reason: Instruction limit
% 5.37/1.22 % (1605322)Termination phase: Saturation
% 5.37/1.22 % (1605322)Time elapsed: 0.557 s
% 5.37/1.22 % (1605322)Peak memory usage: 17 MB
% 5.37/1.22 % (1605322)Instructions burned: 634 (million)
% 5.37/1.22 % (1605422)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3881828179:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.37/1.22 % (1605402)Instruction limit reached!
% 5.37/1.22 % (1605402)------------------------------
% 5.37/1.22 % (1605402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605402)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605402)Termination reason: Instruction limit
% 5.37/1.22 % (1605402)Termination phase: Function definition elimination
% 5.37/1.22 % (1605402)Time elapsed: 0.156 s
% 5.37/1.22 % (1605402)Peak memory usage: 11 MB
% 5.37/1.22 % (1605402)Instructions burned: 319 (million)
% 5.37/1.22 % (1605421)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3460600095:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.37/1.22 % (1605423)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=649441401:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.37/1.22 % (1605421)Instruction limit reached!
% 5.37/1.22 % (1605421)------------------------------
% 5.37/1.22 % (1605421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605421)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605421)Termination reason: Instruction limit
% 5.37/1.22 % (1605421)Termination phase: Property scanning
% 5.37/1.22 % (1605421)Time elapsed: 0.026 s
% 5.37/1.22 % (1605421)Peak memory usage: 11 MB
% 5.37/1.22 % (1605421)Instructions burned: 31 (million)
% 5.37/1.22 % (1605425)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=886042879:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.37/1.22 % (1605423)Instruction limit reached!
% 5.37/1.22 % (1605423)------------------------------
% 5.37/1.22 % (1605423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605423)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605423)Termination reason: Instruction limit
% 5.37/1.22 % (1605423)Termination phase: Property scanning
% 5.37/1.22 % (1605423)Time elapsed: 0.029 s
% 5.37/1.22 % (1605423)Peak memory usage: 10 MB
% 5.37/1.22 % (1605423)Instructions burned: 35 (million)
% 5.37/1.22 % (1605428)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.37/1.22 % (1605412)Instruction limit reached!
% 5.37/1.22 % (1605412)------------------------------
% 5.37/1.22 % (1605412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605412)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605412)Termination reason: Instruction limit
% 5.37/1.22 % (1605412)Termination phase: Function definition elimination
% 5.37/1.22 % (1605412)Time elapsed: 0.129 s
% 5.37/1.22 % (1605412)Peak memory usage: 12 MB
% 5.37/1.22 % (1605412)Instructions burned: 200 (million)
% 5.37/1.22 % (1605428)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3843988991:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.37/1.22 % (1605422)Instruction limit reached!
% 5.37/1.22 % (1605422)------------------------------
% 5.37/1.22 % (1605422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605422)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605422)Termination reason: Instruction limit
% 5.37/1.22 % (1605422)Termination phase: Saturation
% 5.37/1.22 % (1605422)Time elapsed: 0.064 s
% 5.37/1.22 % (1605422)Peak memory usage: 13 MB
% 5.37/1.22 % (1605422)Instructions burned: 139 (million)
% 5.37/1.22 % (1605430)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=817251573:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.37/1.22 % (1605433)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2237470541:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.37/1.22 % (1605425)Instruction limit reached!
% 5.37/1.22 % (1605425)------------------------------
% 5.37/1.22 % (1605425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605425)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605425)Termination reason: Instruction limit
% 5.37/1.22 % (1605425)Termination phase: Property scanning
% 5.37/1.22 % (1605425)Time elapsed: 0.054 s
% 5.37/1.22 % (1605425)Peak memory usage: 11 MB
% 5.37/1.22 % (1605425)Instructions burned: 67 (million)
% 5.37/1.22 % (1605432)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1853753138:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.37/1.22 % (1605433)Refutation not found, incomplete strategy
% 5.37/1.22 % (1605433)------------------------------
% 5.37/1.22 % (1605433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605433)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605433)Termination reason: Refutation not found, incomplete strategy
% 5.37/1.22 % (1605433)Time elapsed: 0.030 s
% 5.37/1.22 % (1605433)Peak memory usage: 13 MB
% 5.37/1.22 % (1605433)Instructions burned: 69 (million)
% 5.37/1.22 % (1605433)------------------------------
% 5.37/1.22 % (1605433)------------------------------
% 5.37/1.22 % (1605436)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2522979198:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.37/1.22 % (1605438)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3490257293:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.37/1.22 % (1605432)Instruction limit reached!
% 5.37/1.22 % (1605432)------------------------------
% 5.37/1.22 % (1605432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605432)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605432)Termination reason: Instruction limit
% 5.37/1.22 % (1605432)Termination phase: Function definition elimination
% 5.37/1.22 % (1605432)Time elapsed: 0.072 s
% 5.37/1.22 % (1605432)Peak memory usage: 11 MB
% 5.37/1.22 % (1605432)Instructions burned: 96 (million)
% 5.37/1.22 % (1605428)Instruction limit reached!
% 5.37/1.22 % (1605428)------------------------------
% 5.37/1.22 % (1605428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1605428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1605428)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1605428)Termination reason: Instruction limit
% 5.37/1.22 % (1605428)Termination phase: Function definition elimination
% 5.37/1.22 % (1605428)Time elapsed: 0.119 s
% 5.37/1.22 % (1605428)Peak memory usage: 11 MB
% 5.37/1.22 % (1605428)Instructions burned: 181 (million)
% 5.37/1.22 % (1605441)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3966020375:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.37/1.22 % (1605430) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1605314-1605430"...
% 5.37/1.22 % (1605430)...printing done.
% 5.37/1.22 % (1605430)Refutation found. Thanks to Tanya!
% 5.37/1.22 % SZS status Theorem for theBenchmark
% 5.37/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 5.37/1.23 % (1605430)------------------------------
% 5.37/1.23 % (1605430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.23 % (1605430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.23 % (1605430)CaDiCaL version: 2.1.3
% 5.37/1.23 % (1605430)Termination reason: Refutation
% 5.37/1.23 % (1605430)Time elapsed: 0.126 s
% 5.37/1.23 % (1605430)Peak memory usage: 15 MB
% 5.37/1.23 % (1605430)Instructions burned: 190 (million)
% 5.37/1.23 % (1605314)Success in time 0.828 s
% 5.37/1.23 % Vampire exiting
%------------------------------------------------------------------------------