%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM672^4 : 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 : 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 08:18:29 AM UTC 2026
% Result : Theorem 3.29s 0.84s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 736 ( 92 equ; 0 cnn)
% Maximal formula atoms : 11 ( 11 avg)
% Number of connectives : 970 ( 7 ~; 32 |; 0 &; 819 @)
% ( 0 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 153 ( 149 usr; 8 con; 0-7 aty)
% ( 33 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 200 ( 177 ^; 23 !; 0 ?; 200 :)
% 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,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_139,type,
vIMP: $o > $o > $o ).
thf(func_def_140,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_141,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_142,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_146,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_147,type,
vAND: $o > $o > $o ).
thf(func_def_148,type,
vOR: $o > $o > $o ).
thf(func_def_149,type,
vNOT: $o > $o ).
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,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f160,axiom,
( n_some
= ( l_some @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(f205,axiom,
( ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) )
= d_29_ii ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(f206,axiom,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).
thf(f238,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] :
( ( d_29_ii @ X0 @ X1 )
=> ( d_29_ii @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
thf(f240,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] :
( ( iii @ X0 @ X1 )
=> ( iii @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19c) ).
thf(f241,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] :
( ( iii @ X0 @ X1 )
=> ( iii @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f240]) ).
thf(f353,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f385,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] :
( ( iii @ X1 @ X3 )
=> ( iii @ ( n_pl @ X1 @ X5 ) @ ( n_pl @ X3 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f241]) ).
thf(f386,plain,
( ( 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] :
( ( iii @ Y0 @ Y1 )
=> ( iii @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f385]) ).
thf(f446,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] :
( ( d_29_ii @ X1 @ X3 )
=> ( d_29_ii @ ( n_pl @ X1 @ X5 ) @ ( n_pl @ X3 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f238]) ).
thf(f447,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] :
( ( d_29_ii @ Y0 @ Y1 )
=> ( d_29_ii @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f446]) ).
thf(f530,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f565,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f205]) ).
thf(f574,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f575,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f574]) ).
thf(f629,plain,
( ( 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] :
( ( iii @ Y0 @ Y1 )
=> ( iii @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f386]) ).
thf(f649,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f565]) ).
thf(f650,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f353]) ).
thf(f651,plain,
( n_some
= ( l_some @ nat ) ),
inference(cnf_transformation,[],[f160]) ).
thf(f660,plain,
( ( 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] :
( ( iii @ Y0 @ Y1 )
=> ( iii @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f629]) ).
thf(f683,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] :
( ( d_29_ii @ Y0 @ Y1 )
=> ( d_29_ii @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f447]) ).
thf(f696,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f530]) ).
thf(f697,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f575]) ).
thf(f719,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,[],[f697,f650]) ).
thf(f720,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f649,f651]) ).
thf(f721,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( l_some @ nat @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f696,f651]) ).
thf(f737,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] : ( l_some @ nat @ ( diffprop @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
=> ( ^ [Y3: $i,Y4: $i] : ( l_some @ nat @ ( diffprop @ Y4 @ Y3 ) )
@ ( n_pl @ Y0 @ Y2 )
@ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f660,f719,f719,f719,f721,f721]) ).
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] : ( l_some @ nat @ ( diffprop @ Y3 @ Y4 ) )
@ Y0
@ Y1 )
=> ( ^ [Y3: $i,Y4: $i] : ( l_some @ nat @ ( diffprop @ Y3 @ Y4 ) )
@ ( n_pl @ Y0 @ Y2 )
@ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f683,f719,f719,f719,f720,f720]) ).
thf(f800,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y1 @ Y0 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y1 @ Y2 ) @ ( n_pl @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f737]) ).
thf(f801,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y1 @ Y0 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y1 @ Y2 ) @ ( n_pl @ Y0 @ Y2 ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f800]) ).
thf(f802,plain,
( $false
= ( ( in @ sK1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y0 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ sK1 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f801]) ).
thf(f803,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y0 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ sK1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f802]) ).
thf(f804,plain,
( ( in @ sK1 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f802]) ).
thf(f805,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y0 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ sK1 @ Y1 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f803]) ).
thf(f806,plain,
( $false
= ( ( in @ sK2 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ Y0 ) @ ( n_pl @ sK1 @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f805]) ).
thf(f807,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ Y0 ) @ ( n_pl @ sK1 @ Y0 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f806]) ).
thf(f808,plain,
( $true
= ( in @ sK2 @ nat ) ),
inference(imp_proxy_clausification,[],[f806]) ).
thf(f809,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ Y0 ) @ ( n_pl @ sK1 @ Y0 ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f807]) ).
thf(f810,plain,
( $false
= ( ( in @ sK3 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ sK3 ) @ ( n_pl @ sK1 @ sK3 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f809]) ).
thf(f811,plain,
( $false
= ( ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ sK3 ) @ ( n_pl @ sK1 @ sK3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f810]) ).
thf(f812,plain,
( $true
= ( in @ sK3 @ nat ) ),
inference(imp_proxy_clausification,[],[f810]) ).
thf(f813,plain,
( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK2 @ sK3 ) @ ( n_pl @ sK1 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f811]) ).
thf(f814,plain,
( $true
= ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f811]) ).
thf(f1046,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f756]) ).
thf(f1047,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ Y2 ) @ ( n_pl @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1046]) ).
thf(f1048,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y1 ) @ ( n_pl @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1047]) ).
thf(f1049,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y1 ) @ ( n_pl @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1048]) ).
thf(f1050,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y1 ) @ ( n_pl @ Y0 @ Y1 ) ) ) ) ) ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1049]) ).
thf(f1051,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( in @ X2 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ X2 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y0 ) @ ( n_pl @ X2 @ Y0 ) ) ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1050]) ).
thf(f1052,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ X2 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y0 ) @ ( n_pl @ X2 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f1051]) ).
thf(f1053,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ X2 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ Y0 ) @ ( n_pl @ X2 @ Y0 ) ) ) ) )
@ X3 ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1052]) ).
thf(f1054,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X3 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X1 @ X2 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X2 @ X3 ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1053]) ).
thf(f1055,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X3 @ nat ) )
| ( $true
= ( ( l_some @ nat @ ( diffprop @ X1 @ X2 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X2 @ X3 ) ) ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1054]) ).
thf(f1056,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X2 @ X3 ) ) ) )
| ( $false
= ( in @ X3 @ nat ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f1055]) ).
thf(f1778,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( $false
= ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) ) )
| ( $false
= ( in @ sK3 @ nat ) )
| ( $false = $true )
| ( ( in @ sK1 @ nat )
= $false ) ),
inference(superposition,[],[f1056,f813]) ).
thf(f1783,plain,
( ( $false
= ( in @ sK3 @ nat ) )
| ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( in @ sK2 @ nat ) )
| ( $false
= ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f1778]) ).
thf(f1786,plain,
( ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) ) )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f1783,f812]) ).
thf(f1787,plain,
( ( $false
= ( l_some @ nat @ ( diffprop @ sK2 @ sK1 ) ) )
| ( $false
= ( in @ sK2 @ nat ) )
| ( ( in @ sK1 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1786]) ).
thf(f1790,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false = $true )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(forward_demodulation,[],[f1787,f814]) ).
thf(f1791,plain,
( ( ( in @ sK1 @ nat )
= $false )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(trivial_inequality_removal,[],[f1790]) ).
thf(f1794,plain,
( ( $false = $true )
| ( $false
= ( in @ sK2 @ nat ) ) ),
inference(forward_demodulation,[],[f1791,f804]) ).
thf(f1795,plain,
( $false
= ( in @ sK2 @ nat ) ),
inference(trivial_inequality_removal,[],[f1794]) ).
thf(f1796,plain,
$false = $true,
inference(superposition,[],[f1795,f808]) ).
thf(f1800,plain,
$false,
inference(trivial_inequality_removal,[],[f1796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM672^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 12:35:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.22/0.27 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
% 0.53/0.41 % (693173)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.41 % (693184)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.41 % (693184)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
% 0.53/0.41 % (693179)lrs+10_16_si=on:nwc=1.5:random_seed=4206331952:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.41 % (693178)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=840035161:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.41 % (693180)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2565905136:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.41 % (693182)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1423279553:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.41 % (693181)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=3382132532: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)
% 0.53/0.41 % (693183)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1761418176:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.41 % (693184)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=828776808:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.41 % (693180)Instruction limit reached!
% 0.53/0.41 % (693180)------------------------------
% 0.53/0.41 % (693180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (693180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (693180)CaDiCaL version: 2.1.3
% 0.53/0.41 % (693180)Termination reason: Instruction limit
% 0.53/0.41 % (693180)Termination phase: shuffling
% 0.53/0.41 % (693180)Time elapsed: 0.002 s
% 0.53/0.41 % (693180)Peak memory usage: 10 MB
% 0.53/0.41 % (693180)Instructions burned: 5 (million)
% 0.53/0.41 % (693179)Instruction limit reached!
% 0.53/0.41 % (693179)------------------------------
% 0.53/0.41 % (693179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (693179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (693179)CaDiCaL version: 2.1.3
% 0.53/0.41 % (693179)Termination reason: Instruction limit
% 0.53/0.41 % (693179)Termination phase: shuffling
% 0.53/0.41 % (693179)Time elapsed: 0.009 s
% 0.53/0.41 % (693179)Peak memory usage: 10 MB
% 0.53/0.41 % (693179)Instructions burned: 20 (million)
% 0.53/0.41 % (693182)Instruction limit reached!
% 0.53/0.41 % (693182)------------------------------
% 0.53/0.41 % (693182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (693182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (693182)CaDiCaL version: 2.1.3
% 0.53/0.41 % (693182)Termination reason: Instruction limit
% 0.53/0.41 % (693182)Termination phase: Property scanning
% 0.53/0.41 % (693182)Time elapsed: 0.012 s
% 0.53/0.41 % (693182)Peak memory usage: 10 MB
% 0.53/0.41 % (693182)Instructions burned: 26 (million)
% 0.53/0.41 % (693192)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3934737166:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.41 % (693192)Instruction limit reached!
% 0.53/0.41 % (693192)------------------------------
% 0.53/0.41 % (693192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (693192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (693192)CaDiCaL version: 2.1.3
% 0.53/0.41 % (693192)Termination reason: Instruction limit
% 0.53/0.41 % (693192)Termination phase: shuffling
% 0.53/0.41 % (693192)Time elapsed: 0.003 s
% 0.53/0.41 % (693192)Peak memory usage: 10 MB
% 0.53/0.41 % (693192)Instructions burned: 7 (million)
% 0.53/0.41 % (693193)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2193295644:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.41 % (693194)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (693193)Instruction limit reached!
% 0.53/0.44 % (693193)------------------------------
% 0.53/0.44 % (693193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (693193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (693193)CaDiCaL version: 2.1.3
% 0.53/0.44 % (693193)Termination reason: Instruction limit
% 0.53/0.44 % (693193)Termination phase: shuffling
% 0.53/0.44 % (693193)Time elapsed: 0.003 s
% 0.53/0.44 % (693193)Peak memory usage: 10 MB
% 0.53/0.44 % (693193)Instructions burned: 6 (million)
% 0.53/0.44 % (693194)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4255125542:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.44 % (693183)Instruction limit reached!
% 0.53/0.44 % (693183)------------------------------
% 0.53/0.44 % (693183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (693183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (693183)CaDiCaL version: 2.1.3
% 0.53/0.44 % (693183)Termination reason: Instruction limit
% 0.53/0.44 % (693183)Termination phase: Function definition elimination
% 0.53/0.44 % (693183)Time elapsed: 0.033 s
% 0.53/0.44 % (693183)Peak memory usage: 11 MB
% 0.53/0.44 % (693183)Instructions burned: 76 (million)
% 0.53/0.44 % (693194)Instruction limit reached!
% 0.53/0.44 % (693194)------------------------------
% 0.53/0.44 % (693194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (693178)Instruction limit reached!
% 0.53/0.44 % (693178)------------------------------
% 0.53/0.44 % (693178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (693178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (693194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (693178)CaDiCaL version: 2.1.3
% 0.53/0.44 % (693194)CaDiCaL version: 2.1.3
% 0.53/0.44 % (693178)Termination reason: Instruction limit
% 0.53/0.44 % (693178)Termination phase: Function definition elimination
% 0.53/0.44 % (693178)Time elapsed: 0.037 s
% 0.53/0.44 % (693194)Termination reason: Instruction limit
% 0.53/0.44 % (693194)Termination phase: shuffling
% 0.53/0.44 % (693194)Time elapsed: 0.004 s
% 0.53/0.44 % (693178)Peak memory usage: 10 MB
% 0.53/0.44 % (693194)Peak memory usage: 10 MB
% 0.53/0.44 % (693178)Instructions burned: 87 (million)
% 0.53/0.44 % (693194)Instructions burned: 7 (million)
% 0.53/0.44 % (693196)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3524253475:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.44 % (693198)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
% 0.53/0.44 % (693198)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (693198)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3263451985:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.44 % (693200)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=2393641574:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.44 % (693196)Instruction limit reached!
% 0.53/0.44 % (693196)------------------------------
% 0.53/0.44 % (693196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (693196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (693196)CaDiCaL version: 2.1.3
% 0.53/0.44 % (693196)Termination reason: Instruction limit
% 0.53/0.44 % (693196)Termination phase: shuffling
% 0.53/0.44 % (693202)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.44 % (693196)Time elapsed: 0.006 s
% 0.53/0.44 % (693196)Peak memory usage: 10 MB
% 0.53/0.44 % (693196)Instructions burned: 13 (million)
% 0.53/0.44 % (693201)lrs+10_1_si=on:cs=on:random_seed=1307864064:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.27/0.48 % (693202)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=3516511771:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.27/0.48 % (693201)Instruction limit reached!
% 1.27/0.48 % (693201)------------------------------
% 1.27/0.48 % (693201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693201)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693201)Termination reason: Instruction limit
% 1.27/0.48 % (693201)Termination phase: shuffling
% 1.27/0.48 % (693201)Time elapsed: 0.004 s
% 1.27/0.48 % (693201)Peak memory usage: 10 MB
% 1.27/0.48 % (693201)Instructions burned: 9 (million)
% 1.27/0.48 % (693202)Instruction limit reached!
% 1.27/0.48 % (693202)------------------------------
% 1.27/0.48 % (693202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693202)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693202)Termination reason: Instruction limit
% 1.27/0.48 % (693202)Termination phase: shuffling
% 1.27/0.48 % (693202)Time elapsed: 0.002 s
% 1.27/0.48 % (693202)Peak memory usage: 10 MB
% 1.27/0.48 % (693202)Instructions burned: 3 (million)
% 1.27/0.48 % (693198)Instruction limit reached!
% 1.27/0.48 % (693198)------------------------------
% 1.27/0.48 % (693198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693198)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693198)Termination reason: Instruction limit
% 1.27/0.48 % (693198)Termination phase: Property scanning
% 1.27/0.48 % (693198)Time elapsed: 0.013 s
% 1.27/0.48 % (693198)Peak memory usage: 10 MB
% 1.27/0.48 % (693198)Instructions burned: 29 (million)
% 1.27/0.48 % (693184)Instruction limit reached!
% 1.27/0.48 % (693184)------------------------------
% 1.27/0.48 % (693184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693184)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693184)Termination reason: Instruction limit
% 1.27/0.48 % (693184)Termination phase: Function definition elimination
% 1.27/0.48 % (693184)Time elapsed: 0.067 s
% 1.27/0.48 % (693184)Peak memory usage: 11 MB
% 1.27/0.48 % (693184)Instructions burned: 159 (million)
% 1.27/0.48 % (693206)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1625831332:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.27/0.48 % (693209)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1005837291:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.27/0.48 % (693210)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=858858177:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.27/0.48 % (693211)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3730184930:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.48 % (693212)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3808212806:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.27/0.48 % (693211)Instruction limit reached!
% 1.27/0.48 % (693211)------------------------------
% 1.27/0.48 % (693211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693211)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693211)Termination reason: Instruction limit
% 1.27/0.48 % (693211)Termination phase: shuffling
% 1.27/0.48 % (693211)Time elapsed: 0.006 s
% 1.27/0.48 % (693211)Peak memory usage: 10 MB
% 1.27/0.48 % (693211)Instructions burned: 14 (million)
% 1.27/0.48 % (693200)Instruction limit reached!
% 1.27/0.48 % (693200)------------------------------
% 1.27/0.48 % (693200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.48 % (693200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.48 % (693200)CaDiCaL version: 2.1.3
% 1.27/0.48 % (693200)Termination reason: Instruction limit
% 1.27/0.48 % (693200)Termination phase: Function definition elimination
% 1.27/0.55 % (693200)Time elapsed: 0.036 s
% 1.27/0.55 % (693200)Peak memory usage: 11 MB
% 1.27/0.55 % (693200)Instructions burned: 86 (million)
% 1.27/0.55 % (693206)Instruction limit reached!
% 1.27/0.55 % (693206)------------------------------
% 1.27/0.55 % (693206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693206)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693206)Termination reason: Instruction limit
% 1.27/0.55 % (693206)Termination phase: SInE selection
% 1.27/0.55 % (693206)Time elapsed: 0.017 s
% 1.27/0.55 % (693206)Peak memory usage: 11 MB
% 1.27/0.55 % (693206)Instructions burned: 40 (million)
% 1.27/0.55 % (693210)Instruction limit reached!
% 1.27/0.55 % (693210)------------------------------
% 1.27/0.55 % (693210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693210)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693210)Termination reason: Instruction limit
% 1.27/0.55 % (693210)Termination phase: Property scanning
% 1.27/0.55 % (693210)Time elapsed: 0.015 s
% 1.27/0.55 % (693210)Peak memory usage: 10 MB
% 1.27/0.55 % (693210)Instructions burned: 35 (million)
% 1.27/0.55 % (693209)Refutation not found, incomplete strategy
% 1.27/0.55 % (693209)------------------------------
% 1.27/0.55 % (693209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693209)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693209)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.55 % (693209)Time elapsed: 0.023 s
% 1.27/0.55 % (693209)Peak memory usage: 13 MB
% 1.27/0.55 % (693209)Instructions burned: 51 (million)
% 1.27/0.55 % (693209)------------------------------
% 1.27/0.55 % (693209)------------------------------
% 1.27/0.55 % (693218)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1859610172:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.55 % (693219)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2839712569: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)
% 1.27/0.55 % (693220)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2436272348:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.27/0.55 % (693219)Instruction limit reached!
% 1.27/0.55 % (693219)------------------------------
% 1.27/0.55 % (693219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693219)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693219)Termination reason: Instruction limit
% 1.27/0.55 % (693219)Termination phase: shuffling
% 1.27/0.55 % (693219)Time elapsed: 0.002 s
% 1.27/0.55 % (693219)Peak memory usage: 10 MB
% 1.27/0.55 % (693219)Instructions burned: 3 (million)
% 1.27/0.55 % (693218)Instruction limit reached!
% 1.27/0.55 % (693218)------------------------------
% 1.27/0.55 % (693218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693218)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693218)Termination reason: Instruction limit
% 1.27/0.55 % (693218)Termination phase: shuffling
% 1.27/0.55 % (693218)Time elapsed: 0.006 s
% 1.27/0.55 % (693218)Peak memory usage: 10 MB
% 1.27/0.55 % (693218)Instructions burned: 14 (million)
% 1.27/0.55 % (693221)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3217437099:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.27/0.55 % (693220)Instruction limit reached!
% 1.27/0.55 % (693220)------------------------------
% 1.27/0.55 % (693220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.55 % (693220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.55 % (693220)CaDiCaL version: 2.1.3
% 1.27/0.55 % (693220)Termination reason: Instruction limit
% 1.27/0.55 % (693220)Termination phase: Property scanning
% 1.27/0.55 % (693220)Time elapsed: 0.012 s
% 1.27/0.55 % (693220)Peak memory usage: 10 MB
% 1.27/0.55 % (693220)Instructions burned: 26 (million)
% 1.27/0.55 % (693222)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=68623255:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.98/0.59 % (693226)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
% 1.98/0.59 % (693226)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.98/0.59 % (693221)Instruction limit reached!
% 1.98/0.59 % (693221)------------------------------
% 1.98/0.59 % (693221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (693221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (693221)CaDiCaL version: 2.1.3
% 1.98/0.59 % (693221)Termination reason: Instruction limit
% 1.98/0.59 % (693221)Termination phase: Property scanning
% 1.98/0.59 % (693221)Time elapsed: 0.010 s
% 1.98/0.59 % (693221)Peak memory usage: 10 MB
% 1.98/0.59 % (693221)Instructions burned: 23 (million)
% 1.98/0.59 % (693226)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=2346897563:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.98/0.59 % (693227)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.98/0.59 % (693226)Instruction limit reached!
% 1.98/0.59 % (693226)------------------------------
% 1.98/0.59 % (693226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (693226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (693226)CaDiCaL version: 2.1.3
% 1.98/0.59 % (693226)Termination reason: Instruction limit
% 1.98/0.59 % (693226)Termination phase: shuffling
% 1.98/0.59 % (693226)Time elapsed: 0.007 s
% 1.98/0.59 % (693226)Peak memory usage: 10 MB
% 1.98/0.59 % (693226)Instructions burned: 15 (million)
% 1.98/0.59 % (693227)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=1665207909:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.98/0.59 % (693231)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=421141348:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.98/0.59 % (693227)Instruction limit reached!
% 1.98/0.59 % (693227)------------------------------
% 1.98/0.59 % (693227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (693227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (693227)CaDiCaL version: 2.1.3
% 1.98/0.59 % (693227)Termination reason: Instruction limit
% 1.98/0.59 % (693227)Termination phase: shuffling
% 1.98/0.59 % (693227)Time elapsed: 0.004 s
% 1.98/0.59 % (693227)Peak memory usage: 10 MB
% 1.98/0.59 % (693227)Instructions burned: 9 (million)
% 1.98/0.59 % (693230)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=3030335322:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.98/0.59 % (693222)Instruction limit reached!
% 1.98/0.59 % (693222)------------------------------
% 1.98/0.59 % (693222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (693222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (693222)CaDiCaL version: 2.1.3
% 1.98/0.59 % (693222)Termination reason: Instruction limit
% 1.98/0.59 % (693222)Termination phase: Property scanning
% 1.98/0.59 % (693222)Time elapsed: 0.027 s
% 1.98/0.59 % (693222)Peak memory usage: 11 MB
% 1.98/0.59 % (693222)Instructions burned: 61 (million)
% 1.98/0.59 % (693231)Instruction limit reached!
% 1.98/0.59 % (693231)------------------------------
% 1.98/0.59 % (693231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (693231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (693231)CaDiCaL version: 2.1.3
% 1.98/0.59 % (693231)Termination reason: Instruction limit
% 1.98/0.59 % (693231)Termination phase: shuffling
% 1.98/0.59 % (693231)Time elapsed: 0.004 s
% 1.98/0.59 % (693231)Peak memory usage: 10 MB
% 1.98/0.59 % (693231)Instructions burned: 9 (million)
% 1.98/0.59 % (693233)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3318625219:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.32/0.65 % (693230)Instruction limit reached!
% 2.32/0.65 % (693230)------------------------------
% 2.32/0.65 % (693230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (693230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (693230)CaDiCaL version: 2.1.3
% 2.32/0.65 % (693230)Termination reason: Instruction limit
% 2.32/0.65 % (693230)Termination phase: Property scanning
% 2.32/0.65 % (693230)Time elapsed: 0.014 s
% 2.32/0.65 % (693230)Peak memory usage: 10 MB
% 2.32/0.65 % (693230)Instructions burned: 32 (million)
% 2.32/0.65 % (693236)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3583751315:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.32/0.65 % (693233)Instruction limit reached!
% 2.32/0.65 % (693233)------------------------------
% 2.32/0.65 % (693233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (693233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (693233)CaDiCaL version: 2.1.3
% 2.32/0.65 % (693233)Termination reason: Instruction limit
% 2.32/0.65 % (693233)Termination phase: Property scanning
% 2.32/0.65 % (693233)Time elapsed: 0.010 s
% 2.32/0.65 % (693233)Peak memory usage: 10 MB
% 2.32/0.65 % (693233)Instructions burned: 23 (million)
% 2.32/0.65 % (693238)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3034161267:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.32/0.65 % (693239)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=322759437:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.32/0.65 % (693236)Instruction limit reached!
% 2.32/0.65 % (693236)------------------------------
% 2.32/0.65 % (693236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (693236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (693236)CaDiCaL version: 2.1.3
% 2.32/0.65 % (693236)Termination reason: Instruction limit
% 2.32/0.65 % (693236)Termination phase: shuffling
% 2.32/0.65 % (693236)Time elapsed: 0.009 s
% 2.32/0.65 % (693236)Peak memory usage: 10 MB
% 2.32/0.65 % (693236)Instructions burned: 21 (million)
% 2.32/0.65 % (693241)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=554956540:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.32/0.65 % (693243)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=669644670:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.32/0.65 % (693246)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.32/0.65 % (693246)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2594135857:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.32/0.65 % (693246)Instruction limit reached!
% 2.32/0.65 % (693246)------------------------------
% 2.32/0.65 % (693246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (693246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (693246)CaDiCaL version: 2.1.3
% 2.32/0.65 % (693246)Termination reason: Instruction limit
% 2.32/0.65 % (693246)Termination phase: shuffling
% 2.32/0.65 % (693246)Time elapsed: 0.004 s
% 2.32/0.65 % (693246)Peak memory usage: 10 MB
% 2.32/0.65 % (693246)Instructions burned: 8 (million)
% 2.32/0.65 % (693243)Instruction limit reached!
% 2.32/0.65 % (693243)------------------------------
% 2.32/0.65 % (693243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (693243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (693243)CaDiCaL version: 2.1.3
% 2.32/0.65 % (693243)Termination reason: Instruction limit
% 2.32/0.65 % (693243)Termination phase: Property scanning
% 2.32/0.65 % (693243)Time elapsed: 0.018 s
% 2.32/0.65 % (693243)Peak memory usage: 11 MB
% 2.32/0.65 % (693243)Instructions burned: 42 (million)
% 2.32/0.65 % (693250)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=37436341:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.32/0.65 % (693251)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=3507676944: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)
% 2.58/0.72 % (693239)Instruction limit reached!
% 2.58/0.72 % (693239)------------------------------
% 2.58/0.72 % (693239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693239)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693239)Termination reason: Instruction limit
% 2.58/0.72 % (693239)Termination phase: Function definition elimination
% 2.58/0.72 % (693239)Time elapsed: 0.059 s
% 2.58/0.72 % (693239)Peak memory usage: 11 MB
% 2.58/0.72 % (693239)Instructions burned: 145 (million)
% 2.58/0.72 % (693241)Refutation not found, incomplete strategy
% 2.58/0.72 % (693241)------------------------------
% 2.58/0.72 % (693241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693241)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693241)Termination reason: Refutation not found, incomplete strategy
% 2.58/0.72 % (693241)Time elapsed: 0.046 s
% 2.58/0.72 % (693241)Peak memory usage: 13 MB
% 2.58/0.72 % (693241)Instructions burned: 89 (million)
% 2.58/0.72 % (693241)------------------------------
% 2.58/0.72 % (693241)------------------------------
% 2.58/0.72 % (693212)Instruction limit reached!
% 2.58/0.72 % (693212)------------------------------
% 2.58/0.72 % (693212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693212)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693212)Termination reason: Instruction limit
% 2.58/0.72 % (693212)Termination phase: Saturation
% 2.58/0.72 % (693212)Time elapsed: 0.149 s
% 2.58/0.72 % (693212)Peak memory usage: 14 MB
% 2.58/0.72 % (693212)Instructions burned: 327 (million)
% 2.58/0.72 % (693254)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.58/0.72 % (693254)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2963787975:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.58/0.72 % (693254)Instruction limit reached!
% 2.58/0.72 % (693254)------------------------------
% 2.58/0.72 % (693254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693254)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693254)Termination reason: Instruction limit
% 2.58/0.72 % (693254)Termination phase: shuffling
% 2.58/0.72 % (693254)Time elapsed: 0.003 s
% 2.58/0.72 % (693254)Peak memory usage: 10 MB
% 2.58/0.72 % (693254)Instructions burned: 6 (million)
% 2.58/0.72 % (693256)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4132560114:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.58/0.72 % (693251)Refutation not found, incomplete strategy
% 2.58/0.72 % (693251)------------------------------
% 2.58/0.72 % (693251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693251)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693251)Termination reason: Refutation not found, incomplete strategy
% 2.58/0.72 % (693251)Time elapsed: 0.033 s
% 2.58/0.72 % (693251)Peak memory usage: 13 MB
% 2.58/0.72 % (693251)Instructions burned: 74 (million)
% 2.58/0.72 % (693251)------------------------------
% 2.58/0.72 % (693251)------------------------------
% 2.58/0.72 % (693255)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3854570530:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.58/0.72 % (693256)Instruction limit reached!
% 2.58/0.72 % (693256)------------------------------
% 2.58/0.72 % (693256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.72 % (693256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.72 % (693256)CaDiCaL version: 2.1.3
% 2.58/0.72 % (693256)Termination reason: Instruction limit
% 2.58/0.72 % (693256)Termination phase: shuffling
% 2.58/0.72 % (693256)Time elapsed: 0.009 s
% 2.58/0.72 % (693256)Peak memory usage: 10 MB
% 2.58/0.72 % (693256)Instructions burned: 20 (million)
% 2.58/0.80 % (693255)Instruction limit reached!
% 2.58/0.80 % (693255)------------------------------
% 2.58/0.80 % (693255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.80 % (693255)CaDiCaL version: 2.1.3
% 2.58/0.80 % (693255)Termination reason: Instruction limit
% 2.58/0.80 % (693255)Termination phase: Property scanning
% 2.58/0.80 % (693255)Time elapsed: 0.010 s
% 2.58/0.80 % (693255)Peak memory usage: 10 MB
% 2.58/0.80 % (693255)Instructions burned: 23 (million)
% 2.58/0.80 % (693258)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=401879999:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.58/0.80 % (693260)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=541033511: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)
% 2.58/0.80 % (693262)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=1121330905:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.58/0.80 % (693263)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=324485736:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.58/0.80 % (693262)Instruction limit reached!
% 2.58/0.80 % (693262)------------------------------
% 2.58/0.80 % (693262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.80 % (693262)CaDiCaL version: 2.1.3
% 2.58/0.80 % (693262)Termination reason: Instruction limit
% 2.58/0.80 % (693262)Termination phase: Property scanning
% 2.58/0.80 % (693262)Time elapsed: 0.020 s
% 2.58/0.80 % (693262)Peak memory usage: 10 MB
% 2.58/0.80 % (693262)Instructions burned: 46 (million)
% 2.58/0.80 % (693250)Instruction limit reached!
% 2.58/0.80 % (693250)------------------------------
% 2.58/0.80 % (693250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.80 % (693250)CaDiCaL version: 2.1.3
% 2.58/0.80 % (693250)Termination reason: Instruction limit
% 2.58/0.80 % (693250)Termination phase: Saturation
% 2.58/0.80 % (693250)Time elapsed: 0.100 s
% 2.58/0.80 % (693250)Peak memory usage: 13 MB
% 2.58/0.80 % (693250)Instructions burned: 182 (million)
% 2.58/0.80 % (693181)Instruction limit reached!
% 2.58/0.80 % (693181)------------------------------
% 2.58/0.80 % (693181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.80 % (693181)CaDiCaL version: 2.1.3
% 2.58/0.80 % (693181)Termination reason: Instruction limit
% 2.58/0.80 % (693181)Termination phase: Saturation
% 2.58/0.80 % (693181)Time elapsed: 0.320 s
% 2.58/0.80 % (693181)Peak memory usage: 16 MB
% 2.58/0.80 % (693181)Instructions burned: 635 (million)
% 2.58/0.80 % (693268)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4173614428: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)
% 2.58/0.80 % (693263)Refutation not found, incomplete strategy
% 2.58/0.80 % (693263)------------------------------
% 2.58/0.80 % (693263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.80 % (693263)CaDiCaL version: 2.1.3
% 2.58/0.80 % (693263)Termination reason: Refutation not found, incomplete strategy
% 2.58/0.80 % (693263)Time elapsed: 0.040 s
% 2.58/0.80 % (693263)Peak memory usage: 13 MB
% 2.58/0.80 % (693263)Instructions burned: 90 (million)
% 2.58/0.80 % (693263)------------------------------
% 2.58/0.80 % (693263)------------------------------
% 2.58/0.80 % (693268)Instruction limit reached!
% 2.58/0.80 % (693268)------------------------------
% 2.58/0.80 % (693268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.80 % (693268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.83 % (693268)CaDiCaL version: 2.1.3
% 3.29/0.83 % (693268)Termination reason: Instruction limit
% 3.29/0.83 % (693268)Termination phase: shuffling
% 3.29/0.83 % (693268)Time elapsed: 0.009 s
% 3.29/0.83 % (693268)Peak memory usage: 10 MB
% 3.29/0.83 % (693268)Instructions burned: 22 (million)
% 3.29/0.83 % (693269)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.29/0.83 % (693269)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3086991104:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.29/0.83 % (693270)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=104760462:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.29/0.83 % (693270)Instruction limit reached!
% 3.29/0.83 % (693270)------------------------------
% 3.29/0.83 % (693270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.83 % (693270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.83 % (693270)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693270)Termination reason: Instruction limit
% 3.29/0.84 % (693270)Termination phase: shuffling
% 3.29/0.84 % (693270)Time elapsed: 0.006 s
% 3.29/0.84 % (693270)Peak memory usage: 10 MB
% 3.29/0.84 % (693270)Instructions burned: 15 (million)
% 3.29/0.84 % (693272)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=1432011653:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.29/0.84 % (693273)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4031565702:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.29/0.84 % (693276)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2186553250:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.29/0.84 % (693273)Instruction limit reached!
% 3.29/0.84 % (693273)------------------------------
% 3.29/0.84 % (693273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693273)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693273)Termination reason: Instruction limit
% 3.29/0.84 % (693273)Termination phase: Property scanning
% 3.29/0.84 % (693273)Time elapsed: 0.022 s
% 3.29/0.84 % (693273)Peak memory usage: 11 MB
% 3.29/0.84 % (693273)Instructions burned: 51 (million)
% 3.29/0.84 % (693272)Instruction limit reached!
% 3.29/0.84 % (693272)------------------------------
% 3.29/0.84 % (693272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693272)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693272)Termination reason: Instruction limit
% 3.29/0.84 % (693272)Termination phase: Function definition elimination
% 3.29/0.84 % (693272)Time elapsed: 0.029 s
% 3.29/0.84 % (693272)Peak memory usage: 11 MB
% 3.29/0.84 % (693272)Instructions burned: 67 (million)
% 3.29/0.84 % (693276)Instruction limit reached!
% 3.29/0.84 % (693276)------------------------------
% 3.29/0.84 % (693276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693276)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693276)Termination reason: Instruction limit
% 3.29/0.84 % (693276)Termination phase: Property scanning
% 3.29/0.84 % (693276)Time elapsed: 0.014 s
% 3.29/0.84 % (693276)Peak memory usage: 10 MB
% 3.29/0.84 % (693276)Instructions burned: 32 (million)
% 3.29/0.84 % (693280)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4133719351:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.29/0.84 % (693282)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1189658838:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.29/0.84 % (693258)Instruction limit reached!
% 3.29/0.84 % (693258)------------------------------
% 3.29/0.84 % (693258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693258)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693258)Termination reason: Instruction limit
% 3.29/0.84 % (693258)Termination phase: Function definition elimination
% 3.29/0.84 % (693258)Time elapsed: 0.126 s
% 3.29/0.84 % (693258)Peak memory usage: 11 MB
% 3.29/0.84 % (693258)Instructions burned: 317 (million)
% 3.29/0.84 % (693281)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=1264593214:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.29/0.84 % (693286)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.29/0.84 % (693281)Instruction limit reached!
% 3.29/0.84 % (693281)------------------------------
% 3.29/0.84 % (693281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693281)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693281)Termination reason: Instruction limit
% 3.29/0.84 % (693281)Termination phase: Property scanning
% 3.29/0.84 % (693281)Time elapsed: 0.015 s
% 3.29/0.84 % (693281)Peak memory usage: 10 MB
% 3.29/0.84 % (693281)Instructions burned: 34 (million)
% 3.29/0.84 % (693286)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3229921751:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.29/0.84 % (693269)Instruction limit reached!
% 3.29/0.84 % (693269)------------------------------
% 3.29/0.84 % (693269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693269)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693269)Termination reason: Instruction limit
% 3.29/0.84 % (693269)Termination phase: Function definition elimination
% 3.29/0.84 % (693269)Time elapsed: 0.080 s
% 3.29/0.84 % (693269)Peak memory usage: 11 MB
% 3.29/0.84 % (693269)Instructions burned: 200 (million)
% 3.29/0.84 % (693282)Instruction limit reached!
% 3.29/0.84 % (693282)------------------------------
% 3.29/0.84 % (693282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693282)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693282)Termination reason: Instruction limit
% 3.29/0.84 % (693282)Termination phase: Function definition elimination
% 3.29/0.84 % (693282)Time elapsed: 0.029 s
% 3.29/0.84 % (693282)Peak memory usage: 11 MB
% 3.29/0.84 % (693282)Instructions burned: 68 (million)
% 3.29/0.84 % (693287)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=359649182:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.29/0.84 % (693289)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2042114675:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.29/0.84 % (693290)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2945064758:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.29/0.84 % (693280)Instruction limit reached!
% 3.29/0.84 % (693280)------------------------------
% 3.29/0.84 % (693280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693280)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693280)Termination reason: Instruction limit
% 3.29/0.84 % (693280)Termination phase: Saturation
% 3.29/0.84 % (693280)Time elapsed: 0.070 s
% 3.29/0.84 % (693280)Peak memory usage: 13 MB
% 3.29/0.84 % (693280)Instructions burned: 138 (million)
% 3.29/0.84 % (693290)Refutation not found, incomplete strategy
% 3.29/0.84 % (693290)------------------------------
% 3.29/0.84 % (693290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693290)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693290)Termination reason: Refutation not found, incomplete strategy
% 3.29/0.84 % (693290)Time elapsed: 0.023 s
% 3.29/0.84 % (693290)Peak memory usage: 13 MB
% 3.29/0.84 % (693290)Instructions burned: 49 (million)
% 3.29/0.84 % (693290)------------------------------
% 3.29/0.84 % (693290)------------------------------
% 3.29/0.84 % (693289)Instruction limit reached!
% 3.29/0.84 % (693289)------------------------------
% 3.29/0.84 % (693289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693289)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693289)Termination reason: Instruction limit
% 3.29/0.84 % (693289)Termination phase: Function definition elimination
% 3.29/0.84 % (693289)Time elapsed: 0.040 s
% 3.29/0.84 % (693289)Peak memory usage: 11 MB
% 3.29/0.84 % (693289)Instructions burned: 96 (million)
% 3.29/0.84 % (693294)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2092273692:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.29/0.84 % (693295)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2403472009:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.29/0.84 % (693286)Instruction limit reached!
% 3.29/0.84 % (693286)------------------------------
% 3.29/0.84 % (693286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693286)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693286)Termination reason: Instruction limit
% 3.29/0.84 % (693286)Termination phase: Function definition elimination
% 3.29/0.84 % (693286)Time elapsed: 0.073 s
% 3.29/0.84 % (693286)Peak memory usage: 11 MB
% 3.29/0.84 % (693286)Instructions burned: 182 (million)
% 3.29/0.84 % (693296)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=329564114:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.29/0.84 % (693287) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-693173-693287"...
% 3.29/0.84 % (693299)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3716746715:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.29/0.84 % (693287)...printing done.
% 3.29/0.84 % (693287)Refutation found. Thanks to Tanya!
% 3.29/0.84 % SZS status Theorem for theBenchmark
% 3.29/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.29/0.84 % (693287)------------------------------
% 3.29/0.84 % (693287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.84 % (693287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.84 % (693287)CaDiCaL version: 2.1.3
% 3.29/0.84 % (693287)Termination reason: Refutation
% 3.29/0.84 % (693287)Time elapsed: 0.078 s
% 3.29/0.84 % (693287)Peak memory usage: 14 MB
% 3.29/0.84 % (693287)Instructions burned: 161 (million)
% 3.29/0.84 % (693173)Success in time 0.555 s
% 3.29/0.84 % Vampire exiting
%------------------------------------------------------------------------------