%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM701^4 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:37 AM UTC 2026
% Result : Theorem 3.38s 0.83s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 61 unt; 0 typ; 1 def)
% Number of atoms : 749 ( 122 equ; 0 cnn)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 847 ( 15 ~; 27 |; 0 &; 728 @)
% ( 1 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 175 ( 171 usr; 9 con; 0-7 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 197 ( 8 sgn 17 !; 0 ?; 197 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vIMP: $o > $o > $o ).
thf(func_def_138,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_142,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_143,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_144,type,
vNOT: $o > $o ).
thf(func_def_145,type,
vAND: $o > $o > $o ).
thf(func_def_146,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_147,type,
vOR: $o > $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(func_def_151,type,
sK1: $i > $i ).
thf(func_def_152,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_153,type,
sK3: ( $i > $o ) > $i ).
thf(func_def_154,type,
sK4: $i > $i > $o ).
thf(func_def_155,type,
sK5: $i > $i > $o ).
thf(func_def_156,type,
sK6: $i > $i > $o ).
thf(func_def_157,type,
sK7: $i > $i > $o ).
thf(func_def_158,type,
sK8: $i > $i > $i > $i ).
thf(func_def_161,type,
sK11: $i > $i > $o ).
thf(func_def_162,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_164,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_165,type,
sK15: $i > $i > $o ).
thf(func_def_166,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_167,type,
sK17: ( $i > $o ) > $i ).
thf(func_def_168,type,
sK18: ( $i > $o ) > $i ).
thf(func_def_169,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_170,type,
sK20: $i > $i > $o ).
thf(func_def_171,type,
sK21: ( $i > $o ) > $i ).
thf(func_def_172,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_173,type,
sK23: ( $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(f81,axiom,
( l_or
= ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(f91,axiom,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f160,axiom,
( n_some
= ( l_some @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(f186,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( n_pl @ X0 @ n_1 ) @ ( ordsucc @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4a) ).
thf(f206,axiom,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).
thf(f217,axiom,
( ( ^ [X0: $i,X1: $i] : ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )
= lessis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessis) ).
thf(f274,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X1 @ ( n_pl @ X0 @ n_1 ) )
=> ( lessis @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz26) ).
thf(f275,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X1 @ ( ordsucc @ X0 ) )
=> ( lessis @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz26a) ).
thf(f276,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( iii @ X1 @ ( ordsucc @ X0 ) )
=> ( lessis @ X1 @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f275]) ).
thf(f290,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f321,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( iii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f217]) ).
thf(f352,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( iii @ X3 @ ( ordsucc @ X1 ) )
=> ( lessis @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f276]) ).
thf(f353,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ ( ordsucc @ Y0 ) )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f352]) ).
thf(f354,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f355,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f354]) ).
thf(f453,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f455,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ X1 @ n_1 ) @ ( ordsucc @ X1 ) ) ),
inference(rectify,[],[f186]) ).
thf(f456,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(fool_elimination,[],[f455]) ).
thf(f591,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f628,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( iii @ X3 @ ( n_pl @ X1 @ n_1 ) )
=> ( lessis @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f274]) ).
thf(f629,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ ( n_pl @ Y0 @ n_1 ) )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f628]) ).
thf(f682,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f734,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ ( ordsucc @ Y0 ) )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ),
inference(flattening,[],[f353]) ).
thf(f773,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f456]) ).
thf(f775,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f682]) ).
thf(f776,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f591]) ).
thf(f802,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( iii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f321]) ).
thf(f803,plain,
( n_some
= ( l_some @ nat ) ),
inference(cnf_transformation,[],[f160]) ).
thf(f811,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ ( n_pl @ Y0 @ n_1 ) )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f629]) ).
thf(f816,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f817,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f290]) ).
thf(f827,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( iii @ Y1 @ ( ordsucc @ Y0 ) )
=> ( lessis @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f734]) ).
thf(f831,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f453]) ).
thf(f838,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f355]) ).
thf(f903,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,[],[f838,f775]) ).
thf(f905,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( l_some @ nat @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f817,f803]) ).
thf(f906,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f816,f776]) ).
thf(f908,plain,
( lessis
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $o] : ( imp @ ( d_not @ Y2 ) )
@ ( ^ [Y2: $i,Y3: $i] : ( l_some @ nat @ ( diffprop @ Y3 @ Y2 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f802,f831,f905,f906]) ).
thf(f918,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( n_pl @ Y0 @ n_1 )
@ ( ordsucc @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f773,f903,f906]) ).
thf(f945,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] : ( l_some @ nat @ ( diffprop @ Y3 @ Y2 ) )
@ Y1
@ ( n_pl @ Y0 @ n_1 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] : ( imp @ ( d_not @ Y4 ) )
@ ( ^ [Y4: $i,Y5: $i] : ( l_some @ nat @ ( diffprop @ Y5 @ Y4 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ Y1
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f811,f903,f903,f905,f908]) ).
thf(f954,plain,
( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] : ( l_some @ nat @ ( diffprop @ Y3 @ Y2 ) )
@ Y1
@ ( ordsucc @ Y0 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] : ( imp @ ( d_not @ Y4 ) )
@ ( ^ [Y4: $i,Y5: $i] : ( l_some @ nat @ ( diffprop @ Y5 @ Y4 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ Y1
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f827,f903,f903,f905,f908]) ).
thf(f1179,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ Y0 @ n_1 )
= ( ordsucc @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f918]) ).
thf(f1180,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ Y0 @ n_1 )
= ( ordsucc @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1179]) ).
thf(f1181,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( ( n_pl @ X1 @ n_1 )
= ( ordsucc @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f1180]) ).
thf(f1182,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( n_pl @ X1 @ n_1 )
= ( ordsucc @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f1181]) ).
thf(f1183,plain,
! [X1: $i] :
( ( ( ordsucc @ X1 )
= ( n_pl @ X1 @ n_1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1182]) ).
thf(f1517,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ Y0 ) @ Y1 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) ) ) @ ( Y1 = Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f954]) ).
thf(f1518,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ Y0 ) @ Y1 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) ) ) @ ( Y1 = Y0 ) ) ) ) ) )
@ sK9 ) ),
inference(sigma_proxy_clausification,[],[f1517]) ).
thf(f1519,plain,
( ( ( in @ sK9 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ Y0 ) ) ) @ ( Y0 = sK9 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1518]) ).
thf(f1520,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ Y0 ) ) ) @ ( Y0 = sK9 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f1519]) ).
thf(f1521,plain,
( $true
= ( in @ sK9 @ nat ) ),
inference(imp_proxy_clausification,[],[f1519]) ).
thf(f1522,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ Y0 ) ) ) @ ( Y0 = sK9 ) ) ) )
@ sK10 ) ),
inference(sigma_proxy_clausification,[],[f1520]) ).
thf(f1523,plain,
( $false
= ( ( in @ sK10 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ sK10 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ sK10 ) ) ) @ ( sK10 = sK9 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1522]) ).
thf(f1524,plain,
( ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ sK10 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ sK10 ) ) ) @ ( sK10 = sK9 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f1523]) ).
thf(f1525,plain,
( $true
= ( in @ sK10 @ nat ) ),
inference(imp_proxy_clausification,[],[f1523]) ).
thf(f1526,plain,
( ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ sK9 @ sK10 ) ) ) @ ( sK10 = sK9 ) )
= $false ),
inference(imp_proxy_clausification,[],[f1524]) ).
thf(f1527,plain,
( $true
= ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ sK10 ) ) ),
inference(imp_proxy_clausification,[],[f1524]) ).
thf(f1986,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ n_1 ) @ Y1 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) ) ) @ ( Y1 = Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f945]) ).
thf(f1987,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ Y0 @ n_1 ) @ Y1 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ Y0 @ Y1 ) ) ) @ ( Y1 = Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1986]) ).
thf(f1988,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) ) ) @ ( Y0 = X1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1987]) ).
thf(f1989,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) ) ) @ ( Y0 = X1 ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1988]) ).
thf(f1990,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ Y0 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ Y0 ) ) ) @ ( Y0 = X1 ) ) ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1989]) ).
thf(f1991,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( in @ X2 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ X2 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ X2 ) ) ) @ ( X2 = X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1990]) ).
thf(f1992,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ X2 ) )
=> ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ X2 ) ) ) @ ( X2 = X1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1991]) ).
thf(f1993,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( imp @ ( d_not @ ( l_some @ nat @ ( diffprop @ X1 @ X2 ) ) ) @ ( X2 = X1 ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X1 @ n_1 ) @ X2 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1992]) ).
thf(f2246,plain,
( ( ( in @ sK10 @ nat )
= $false )
| ( $true = $false )
| ( ( in @ sK9 @ nat )
= $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) ) ),
inference(superposition,[],[f1526,f1993]) ).
thf(f2252,plain,
( ( ( in @ sK10 @ nat )
= $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) )
| ( ( in @ sK9 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f2246]) ).
thf(f2261,plain,
( ( $true = $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) )
| ( ( in @ sK9 @ nat )
= $false ) ),
inference(forward_demodulation,[],[f2252,f1525]) ).
thf(f2262,plain,
( ( ( in @ sK9 @ nat )
= $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) ) ),
inference(trivial_inequality_removal,[],[f2261]) ).
thf(f2274,plain,
( ( $true = $false )
| ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) ) ),
inference(forward_demodulation,[],[f2262,f1521]) ).
thf(f2275,plain,
( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) ),
inference(trivial_inequality_removal,[],[f2274]) ).
thf(f2298,definition,
( spl24_20
<=> ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
thf(f2300,plain,
( ( $false
= ( l_some @ nat @ ( diffprop @ ( n_pl @ sK9 @ n_1 ) @ sK10 ) ) )
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f2298]) ).
thf(f2302,plain,
spl24_20,
inference(avatar_split_clause,[],[f2275,f2298]) ).
thf(f3235,plain,
( ( ( l_some @ nat @ ( diffprop @ ( ordsucc @ sK9 ) @ sK10 ) )
= $false )
| ( ( in @ sK9 @ nat )
= $false )
| ~ spl24_20 ),
inference(superposition,[],[f2300,f1183]) ).
thf(f3281,plain,
( ( ( in @ sK9 @ nat )
= $false )
| ( $true = $false )
| ~ spl24_20 ),
inference(forward_demodulation,[],[f3235,f1527]) ).
thf(f3282,plain,
( ( ( in @ sK9 @ nat )
= $false )
| ~ spl24_20 ),
inference(trivial_inequality_removal,[],[f3281]) ).
thf(f3283,plain,
( ( $true = $false )
| ~ spl24_20 ),
inference(superposition,[],[f3282,f1521]) ).
thf(f3288,plain,
( $false
| ~ spl24_20 ),
inference(trivial_inequality_removal,[],[f3283]) ).
thf(f3289,plain,
~ spl24_20,
inference(avatar_contradiction_clause,[],[f3288]) ).
cnf(s17,plain,
spl24_20,
inference(sat_conversion,[],[f2302]) ).
cnf(s66,plain,
~ spl24_20,
inference(sat_conversion,[],[f3289]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s17,s66]) ).
thf(f3291,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM701^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n007.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 12:40:11 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 Running higher-order theorem proving
% 0.08/0.24 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
% 0.66/0.38 % (3300985)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.38 % (3300994)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4292271999:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.38 % (3300996)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.38 % (3300996)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
% 0.66/0.38 % (3300994)Instruction limit reached!
% 0.66/0.38 % (3300994)------------------------------
% 0.66/0.38 % (3300994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.38 % (3300994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.38 % (3300994)CaDiCaL version: 2.1.3
% 0.66/0.38 % (3300994)Termination reason: Instruction limit
% 0.66/0.38 % (3300994)Termination phase: shuffling
% 0.66/0.38 % (3300994)Time elapsed: 0.007 s
% 0.66/0.38 % (3300994)Peak memory usage: 10 MB
% 0.66/0.38 % (3300994)Instructions burned: 29 (million)
% 0.66/0.38 % (3300992)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3078418446:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.38 % (3300991)lrs+10_16_si=on:nwc=1.5:random_seed=1898933993:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.38 % (3300990)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3347294530:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.38 % (3300993)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=2311489158: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)
% 0.66/0.38 % (3300995)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=131724394:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.38 % (3300996)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=4120987680:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.38 % (3300992)Instruction limit reached!
% 0.66/0.38 % (3300992)------------------------------
% 0.66/0.38 % (3300992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.38 % (3300992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.38 % (3300992)CaDiCaL version: 2.1.3
% 0.66/0.38 % (3300992)Termination reason: Instruction limit
% 0.66/0.38 % (3300992)Termination phase: shuffling
% 0.66/0.38 % (3300992)Time elapsed: 0.002 s
% 0.66/0.38 % (3300992)Peak memory usage: 10 MB
% 0.66/0.38 % (3300992)Instructions burned: 4 (million)
% 0.66/0.38 % (3300991)Instruction limit reached!
% 0.66/0.38 % (3300991)------------------------------
% 0.66/0.38 % (3300991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.38 % (3300991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.38 % (3300991)CaDiCaL version: 2.1.3
% 0.66/0.38 % (3300991)Termination reason: Instruction limit
% 0.66/0.38 % (3300991)Termination phase: shuffling
% 0.66/0.38 % (3300991)Time elapsed: 0.008 s
% 0.66/0.38 % (3300991)Peak memory usage: 10 MB
% 0.66/0.38 % (3300991)Instructions burned: 19 (million)
% 0.66/0.38 % (3301004)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1988022034:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.38 % (3301004)Instruction limit reached!
% 0.66/0.38 % (3301004)------------------------------
% 0.66/0.38 % (3301004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.38 % (3301004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.38 % (3301004)CaDiCaL version: 2.1.3
% 0.66/0.38 % (3301004)Termination reason: Instruction limit
% 0.66/0.38 % (3301004)Termination phase: shuffling
% 0.66/0.38 % (3301004)Time elapsed: 0.003 s
% 0.66/0.38 % (3301004)Peak memory usage: 10 MB
% 0.66/0.38 % (3301004)Instructions burned: 11 (million)
% 0.66/0.38 % (3301005)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2464135818:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.41 % (3301006)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.41 % (3301005)Instruction limit reached!
% 0.66/0.41 % (3301005)------------------------------
% 0.66/0.41 % (3301005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (3301005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (3301005)CaDiCaL version: 2.1.3
% 0.66/0.41 % (3301005)Termination reason: Instruction limit
% 0.66/0.41 % (3301005)Termination phase: shuffling
% 0.66/0.41 % (3301005)Time elapsed: 0.003 s
% 0.66/0.41 % (3301005)Peak memory usage: 10 MB
% 0.66/0.41 % (3301005)Instructions burned: 6 (million)
% 0.66/0.41 % (3301008)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1546805232:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.41 % (3301006)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4048592768:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.41 % (3301008)Instruction limit reached!
% 0.66/0.41 % (3301008)------------------------------
% 0.66/0.41 % (3301008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (3301008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (3301008)CaDiCaL version: 2.1.3
% 0.66/0.41 % (3301008)Termination reason: Instruction limit
% 0.66/0.41 % (3301008)Termination phase: shuffling
% 0.66/0.41 % (3301008)Time elapsed: 0.003 s
% 0.66/0.41 % (3301008)Peak memory usage: 10 MB
% 0.66/0.41 % (3301008)Instructions burned: 15 (million)
% 0.66/0.41 % (3300995)Instruction limit reached!
% 0.66/0.41 % (3300995)------------------------------
% 0.66/0.41 % (3300995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (3300995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (3300995)CaDiCaL version: 2.1.3
% 0.66/0.41 % (3300995)Termination reason: Instruction limit
% 0.66/0.41 % (3300995)Termination phase: Property scanning
% 0.66/0.41 % (3300995)Time elapsed: 0.034 s
% 0.66/0.41 % (3300995)Peak memory usage: 11 MB
% 0.66/0.41 % (3300995)Instructions burned: 77 (million)
% 0.66/0.41 % (3301006)Instruction limit reached!
% 0.66/0.41 % (3301006)------------------------------
% 0.66/0.41 % (3301006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (3301006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (3301006)CaDiCaL version: 2.1.3
% 0.66/0.41 % (3301006)Termination reason: Instruction limit
% 0.66/0.41 % (3301006)Termination phase: shuffling
% 0.66/0.41 % (3301006)Time elapsed: 0.008 s
% 0.66/0.41 % (3301006)Peak memory usage: 10 MB
% 0.66/0.41 % (3301006)Instructions burned: 9 (million)
% 0.66/0.41 % (3300990)Instruction limit reached!
% 0.66/0.41 % (3300990)------------------------------
% 0.66/0.41 % (3300990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (3300990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (3300990)CaDiCaL version: 2.1.3
% 0.66/0.41 % (3300990)Termination reason: Instruction limit
% 0.66/0.41 % (3300990)Termination phase: Function definition elimination
% 0.66/0.41 % (3300990)Time elapsed: 0.038 s
% 0.66/0.41 % (3300990)Peak memory usage: 11 MB
% 0.66/0.41 % (3300990)Instructions burned: 87 (million)
% 0.66/0.41 % (3301010)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
% 0.66/0.41 % (3301010)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.41 % (3301013)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=2070175326:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.66/0.41 % (3301010)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1357746706:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.41 % (3301014)lrs+10_1_si=on:cs=on:random_seed=3231534867:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.66/0.41 % (3301015)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.66/0.44 % (3301016)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3881829817:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.66/0.44 % (3301010)Instruction limit reached!
% 0.66/0.44 % (3301010)------------------------------
% 0.66/0.44 % (3301010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3301010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3301010)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3301010)Termination reason: Instruction limit
% 0.66/0.44 % (3301010)Termination phase: Property scanning
% 0.66/0.44 % (3301015)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=1812452109:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.44 % (3301010)Time elapsed: 0.013 s
% 0.66/0.44 % (3301010)Peak memory usage: 10 MB
% 0.66/0.44 % (3301010)Instructions burned: 29 (million)
% 0.66/0.44 % (3301014)Instruction limit reached!
% 0.66/0.44 % (3301014)------------------------------
% 0.66/0.44 % (3301014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3301014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3301014)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3301014)Termination reason: Instruction limit
% 0.66/0.44 % (3301014)Termination phase: shuffling
% 0.66/0.44 % (3301014)Time elapsed: 0.004 s
% 0.66/0.44 % (3301014)Peak memory usage: 10 MB
% 0.66/0.44 % (3301014)Instructions burned: 8 (million)
% 0.66/0.44 % (3300996)Instruction limit reached!
% 0.66/0.44 % (3300996)------------------------------
% 0.66/0.44 % (3300996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3300996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3300996)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3300996)Termination reason: Instruction limit
% 0.66/0.44 % (3300996)Termination phase: Function definition elimination
% 0.66/0.44 % (3300996)Time elapsed: 0.064 s
% 0.66/0.44 % (3300996)Peak memory usage: 12 MB
% 0.66/0.44 % (3300996)Instructions burned: 158 (million)
% 0.66/0.44 % (3301015)Instruction limit reached!
% 0.66/0.44 % (3301015)------------------------------
% 0.66/0.44 % (3301015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3301015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3301015)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3301015)Termination reason: Instruction limit
% 0.66/0.44 % (3301015)Termination phase: shuffling
% 0.66/0.44 % (3301015)Time elapsed: 0.010 s
% 0.66/0.44 % (3301015)Peak memory usage: 9 MB
% 0.66/0.44 % (3301015)Instructions burned: 10 (million)
% 0.66/0.44 % (3301013)Instruction limit reached!
% 0.66/0.44 % (3301013)------------------------------
% 0.66/0.44 % (3301013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3301013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3301013)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3301013)Termination reason: Instruction limit
% 0.66/0.44 % (3301013)Termination phase: Function definition elimination
% 0.66/0.44 % (3301013)Time elapsed: 0.026 s
% 0.66/0.44 % (3301013)Peak memory usage: 11 MB
% 0.66/0.44 % (3301013)Instructions burned: 86 (million)
% 0.66/0.44 % (3301016)Instruction limit reached!
% 0.66/0.44 % (3301016)------------------------------
% 0.66/0.44 % (3301016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3301016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3301016)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3301016)Termination reason: Instruction limit
% 0.66/0.44 % (3301016)Termination phase: Property scanning
% 0.66/0.44 % (3301016)Time elapsed: 0.017 s
% 0.66/0.44 % (3301016)Peak memory usage: 10 MB
% 0.66/0.44 % (3301016)Instructions burned: 40 (million)
% 0.66/0.44 % (3301022)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4284804665:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.66/0.44 % (3301023)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=661831691:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.66/0.44 % (3301026)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1760758443:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.49 % (3301026)Instruction limit reached!
% 1.46/0.49 % (3301026)------------------------------
% 1.46/0.49 % (3301026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301026)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301026)Termination reason: Instruction limit
% 1.46/0.49 % (3301026)Termination phase: shuffling
% 1.46/0.49 % (3301026)Time elapsed: 0.003 s
% 1.46/0.49 % (3301026)Peak memory usage: 10 MB
% 1.46/0.49 % (3301026)Instructions burned: 14 (million)
% 1.46/0.49 % (3301024)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4118349880:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.49 % (3301025)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1644628485:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.46/0.49 % (3301023)Instruction limit reached!
% 1.46/0.49 % (3301023)------------------------------
% 1.46/0.49 % (3301023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301023)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301023)Termination reason: Instruction limit
% 1.46/0.49 % (3301023)Termination phase: shuffling
% 1.46/0.49 % (3301023)Time elapsed: 0.012 s
% 1.46/0.49 % (3301023)Peak memory usage: 10 MB
% 1.46/0.49 % (3301023)Instructions burned: 27 (million)
% 1.46/0.49 % (3301024)Instruction limit reached!
% 1.46/0.49 % (3301024)------------------------------
% 1.46/0.49 % (3301024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301024)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301024)Termination reason: Instruction limit
% 1.46/0.49 % (3301024)Termination phase: shuffling
% 1.46/0.49 % (3301024)Time elapsed: 0.006 s
% 1.46/0.49 % (3301024)Peak memory usage: 10 MB
% 1.46/0.49 % (3301024)Instructions burned: 14 (million)
% 1.46/0.49 % (3301027)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=408495914: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)
% 1.46/0.49 % (3301031)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4071799950:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.49 % (3301027)Instruction limit reached!
% 1.46/0.49 % (3301027)------------------------------
% 1.46/0.49 % (3301027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301027)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301027)Termination reason: Instruction limit
% 1.46/0.49 % (3301027)Termination phase: shuffling
% 1.46/0.49 % (3301027)Time elapsed: 0.003 s
% 1.46/0.49 % (3301027)Peak memory usage: 10 MB
% 1.46/0.49 % (3301027)Instructions burned: 5 (million)
% 1.46/0.49 % (3301031)Instruction limit reached!
% 1.46/0.49 % (3301031)------------------------------
% 1.46/0.49 % (3301031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301031)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301031)Termination reason: Instruction limit
% 1.46/0.49 % (3301031)Termination phase: shuffling
% 1.46/0.49 % (3301031)Time elapsed: 0.006 s
% 1.46/0.49 % (3301031)Peak memory usage: 10 MB
% 1.46/0.49 % (3301031)Instructions burned: 27 (million)
% 1.46/0.49 % (3301022)Refutation not found, incomplete strategy
% 1.46/0.49 % (3301022)------------------------------
% 1.46/0.49 % (3301022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3301022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3301022)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3301022)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.49 % (3301022)Time elapsed: 0.032 s
% 1.46/0.49 % (3301022)Peak memory usage: 13 MB
% 1.46/0.49 % (3301022)Instructions burned: 71 (million)
% 1.46/0.49 % (3301034)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3819889348:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.56 % (3301022)------------------------------
% 1.46/0.56 % (3301022)------------------------------
% 1.46/0.56 % (3301039)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.56 % (3301035)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3736386700:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.56 % (3301038)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
% 1.46/0.56 % (3301038)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.56 % (3301039)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=4269254155:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.56 % (3301039)Instruction limit reached!
% 1.46/0.56 % (3301039)------------------------------
% 1.46/0.56 % (3301039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (3301039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (3301039)CaDiCaL version: 2.1.3
% 1.46/0.56 % (3301039)Termination reason: Instruction limit
% 1.46/0.56 % (3301039)Termination phase: shuffling
% 1.46/0.56 % (3301039)Time elapsed: 0.002 s
% 1.46/0.56 % (3301039)Peak memory usage: 10 MB
% 1.46/0.56 % (3301039)Instructions burned: 8 (million)
% 1.46/0.56 % (3301038)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=3974259540:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.56 % (3301034)Instruction limit reached!
% 1.46/0.56 % (3301034)------------------------------
% 1.46/0.56 % (3301034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (3301034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (3301034)CaDiCaL version: 2.1.3
% 1.46/0.56 % (3301034)Termination reason: Instruction limit
% 1.46/0.56 % (3301034)Termination phase: shuffling
% 1.46/0.56 % (3301034)Time elapsed: 0.011 s
% 1.46/0.56 % (3301034)Peak memory usage: 10 MB
% 1.46/0.56 % (3301034)Instructions burned: 24 (million)
% 1.46/0.56 % (3301038)Instruction limit reached!
% 1.46/0.56 % (3301038)------------------------------
% 1.46/0.56 % (3301038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (3301038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (3301038)CaDiCaL version: 2.1.3
% 1.46/0.56 % (3301038)Termination reason: Instruction limit
% 1.46/0.56 % (3301038)Termination phase: shuffling
% 1.46/0.56 % (3301038)Time elapsed: 0.006 s
% 1.46/0.56 % (3301038)Peak memory usage: 10 MB
% 1.46/0.56 % (3301038)Instructions burned: 14 (million)
% 1.46/0.56 % (3301044)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=104510832:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.56 % (3301044)Instruction limit reached!
% 1.46/0.56 % (3301044)------------------------------
% 1.46/0.56 % (3301044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (3301044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (3301044)CaDiCaL version: 2.1.3
% 1.46/0.56 % (3301044)Termination reason: Instruction limit
% 1.46/0.56 % (3301044)Termination phase: shuffling
% 1.46/0.56 % (3301044)Time elapsed: 0.002 s
% 1.46/0.56 % (3301044)Peak memory usage: 10 MB
% 1.46/0.56 % (3301044)Instructions burned: 9 (million)
% 1.46/0.56 % (3301041)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=1635718573:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.56 % (3301035)Instruction limit reached!
% 1.46/0.56 % (3301035)------------------------------
% 1.46/0.56 % (3301035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (3301035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (3301035)CaDiCaL version: 2.1.3
% 1.46/0.56 % (3301035)Termination reason: Instruction limit
% 2.39/0.64 % (3301035)Termination phase: Property scanning
% 2.39/0.64 % (3301035)Time elapsed: 0.026 s
% 2.39/0.64 % (3301035)Peak memory usage: 11 MB
% 2.39/0.64 % (3301035)Instructions burned: 60 (million)
% 2.39/0.64 % (3301049)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1872211695:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.39/0.64 % (3301046)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3289410952:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.39/0.64 % (3301047)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2138820546:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.39/0.64 % (3301046)Instruction limit reached!
% 2.39/0.64 % (3301046)------------------------------
% 2.39/0.64 % (3301046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.64 % (3301046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.64 % (3301046)CaDiCaL version: 2.1.3
% 2.39/0.64 % (3301046)Termination reason: Instruction limit
% 2.39/0.64 % (3301046)Termination phase: shuffling
% 2.39/0.64 % (3301046)Time elapsed: 0.010 s
% 2.39/0.64 % (3301046)Peak memory usage: 10 MB
% 2.39/0.64 % (3301046)Instructions burned: 24 (million)
% 2.39/0.64 % (3301047)Instruction limit reached!
% 2.39/0.64 % (3301047)------------------------------
% 2.39/0.64 % (3301047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.64 % (3301047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.64 % (3301047)CaDiCaL version: 2.1.3
% 2.39/0.64 % (3301047)Termination reason: Instruction limit
% 2.39/0.64 % (3301047)Termination phase: shuffling
% 2.39/0.64 % (3301047)Time elapsed: 0.009 s
% 2.39/0.64 % (3301047)Peak memory usage: 10 MB
% 2.39/0.64 % (3301047)Instructions burned: 22 (million)
% 2.39/0.64 % (3301041)Instruction limit reached!
% 2.39/0.64 % (3301041)------------------------------
% 2.39/0.64 % (3301041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.64 % (3301041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.64 % (3301041)CaDiCaL version: 2.1.3
% 2.39/0.64 % (3301041)Termination reason: Instruction limit
% 2.39/0.64 % (3301041)Termination phase: Property scanning
% 2.39/0.64 % (3301041)Time elapsed: 0.025 s
% 2.39/0.64 % (3301041)Peak memory usage: 11 MB
% 2.39/0.64 % (3301041)Instructions burned: 32 (million)
% 2.39/0.64 % (3301051)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3016317078:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.39/0.64 % (3301055)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2681359514:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.39/0.64 % (3301056)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2359230285:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.39/0.64 % (3301058)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.39/0.64 % (3301058)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=733402749:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.39/0.64 % (3301058)Instruction limit reached!
% 2.39/0.64 % (3301058)------------------------------
% 2.39/0.64 % (3301058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.64 % (3301058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.64 % (3301058)CaDiCaL version: 2.1.3
% 2.39/0.64 % (3301058)Termination reason: Instruction limit
% 2.39/0.64 % (3301058)Termination phase: shuffling
% 2.39/0.64 % (3301058)Time elapsed: 0.004 s
% 2.39/0.64 % (3301058)Peak memory usage: 10 MB
% 2.39/0.64 % (3301058)Instructions burned: 7 (million)
% 2.39/0.64 % (3301056)Instruction limit reached!
% 2.39/0.64 % (3301056)------------------------------
% 2.39/0.64 % (3301056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.64 % (3301056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.64 % (3301056)CaDiCaL version: 2.1.3
% 2.39/0.64 % (3301056)Termination reason: Instruction limit
% 2.39/0.64 % (3301056)Termination phase: Property scanning
% 2.39/0.64 % (3301056)Time elapsed: 0.018 s
% 2.39/0.64 % (3301056)Peak memory usage: 10 MB
% 2.39/0.70 % (3301056)Instructions burned: 42 (million)
% 2.39/0.70 % (3301062)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=165023342:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.39/0.70 % (3301063)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=2489987221: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)
% 2.39/0.70 % (3301051)Instruction limit reached!
% 2.39/0.70 % (3301051)------------------------------
% 2.39/0.70 % (3301051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.70 % (3301051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.70 % (3301051)CaDiCaL version: 2.1.3
% 2.39/0.70 % (3301051)Termination reason: Instruction limit
% 2.39/0.70 % (3301051)Termination phase: Function definition elimination
% 2.39/0.70 % (3301051)Time elapsed: 0.058 s
% 2.39/0.70 % (3301051)Peak memory usage: 11 MB
% 2.39/0.70 % (3301051)Instructions burned: 144 (million)
% 2.39/0.70 % (3301075)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.39/0.70 % (3301025)Instruction limit reached!
% 2.39/0.70 % (3301025)------------------------------
% 2.39/0.70 % (3301025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.70 % (3301025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.70 % (3301025)CaDiCaL version: 2.1.3
% 2.39/0.70 % (3301025)Termination reason: Instruction limit
% 2.39/0.70 % (3301025)Termination phase: Saturation
% 2.39/0.70 % (3301025)Time elapsed: 0.148 s
% 2.39/0.70 % (3301025)Peak memory usage: 14 MB
% 2.39/0.70 % (3301025)Instructions burned: 327 (million)
% 2.39/0.70 % (3301075)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=703253111:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.39/0.70 % (3301075)Instruction limit reached!
% 2.39/0.70 % (3301075)------------------------------
% 2.39/0.70 % (3301075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.70 % (3301075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.70 % (3301075)CaDiCaL version: 2.1.3
% 2.39/0.70 % (3301075)Termination reason: Instruction limit
% 2.39/0.70 % (3301075)Termination phase: shuffling
% 2.39/0.70 % (3301075)Time elapsed: 0.003 s
% 2.39/0.70 % (3301075)Peak memory usage: 10 MB
% 2.39/0.70 % (3301075)Instructions burned: 7 (million)
% 2.39/0.70 % (3301055)Refutation not found, incomplete strategy
% 2.39/0.70 % (3301055)------------------------------
% 2.39/0.70 % (3301055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.70 % (3301055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.70 % (3301055)CaDiCaL version: 2.1.3
% 2.39/0.70 % (3301055)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.70 % (3301055)Time elapsed: 0.070 s
% 2.39/0.70 % (3301055)Peak memory usage: 14 MB
% 2.39/0.70 % (3301055)Instructions burned: 149 (million)
% 2.39/0.70 % (3301055)------------------------------
% 2.39/0.70 % (3301055)------------------------------
% 2.39/0.70 % (3301082)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2000547790:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.39/0.70 % (3301063)Refutation not found, incomplete strategy
% 2.39/0.70 % (3301063)------------------------------
% 2.39/0.70 % (3301063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.70 % (3301063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.70 % (3301063)CaDiCaL version: 2.1.3
% 2.39/0.70 % (3301063)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.70 % (3301063)Time elapsed: 0.048 s
% 2.39/0.70 % (3301063)Peak memory usage: 13 MB
% 2.39/0.70 % (3301063)Instructions burned: 105 (million)
% 2.39/0.70 % (3301083)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1937609583:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.39/0.70 % (3301063)------------------------------
% 2.39/0.70 % (3301063)------------------------------
% 2.39/0.70 % (3301086)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=660631783:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.61/0.77 % (3301082)Instruction limit reached!
% 2.61/0.77 % (3301082)------------------------------
% 2.61/0.77 % (3301082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (3301082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (3301082)CaDiCaL version: 2.1.3
% 2.61/0.77 % (3301082)Termination reason: Instruction limit
% 2.61/0.77 % (3301082)Termination phase: shuffling
% 2.61/0.77 % (3301082)Time elapsed: 0.010 s
% 2.61/0.77 % (3301082)Peak memory usage: 10 MB
% 2.61/0.77 % (3301082)Instructions burned: 22 (million)
% 2.61/0.77 % (3301083)Instruction limit reached!
% 2.61/0.77 % (3301083)------------------------------
% 2.61/0.77 % (3301083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (3301083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (3301083)CaDiCaL version: 2.1.3
% 2.61/0.77 % (3301083)Termination reason: Instruction limit
% 2.61/0.77 % (3301083)Termination phase: shuffling
% 2.61/0.77 % (3301083)Time elapsed: 0.009 s
% 2.61/0.77 % (3301083)Peak memory usage: 10 MB
% 2.61/0.77 % (3301083)Instructions burned: 20 (million)
% 2.61/0.77 % (3301094)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=1490763490:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.61/0.77 % (3301096)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=955945698: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)
% 2.61/0.77 % (3301098)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2257162253:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.61/0.77 % (3301062)Instruction limit reached!
% 2.61/0.77 % (3301062)------------------------------
% 2.61/0.77 % (3301062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (3301062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (3301062)CaDiCaL version: 2.1.3
% 2.61/0.77 % (3301062)Termination reason: Instruction limit
% 2.61/0.77 % (3301062)Termination phase: Saturation
% 2.61/0.77 % (3301062)Time elapsed: 0.089 s
% 2.61/0.77 % (3301062)Peak memory usage: 14 MB
% 2.61/0.77 % (3301062)Instructions burned: 183 (million)
% 2.61/0.77 % (3301096)Instruction limit reached!
% 2.61/0.77 % (3301096)------------------------------
% 2.61/0.77 % (3301096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (3301096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (3301096)CaDiCaL version: 2.1.3
% 2.61/0.77 % (3301096)Termination reason: Instruction limit
% 2.61/0.77 % (3301096)Termination phase: Property scanning
% 2.61/0.77 % (3301096)Time elapsed: 0.020 s
% 2.61/0.77 % (3301096)Peak memory usage: 11 MB
% 2.61/0.77 % (3301096)Instructions burned: 47 (million)
% 2.61/0.77 % (3301113)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2183515094: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)
% 2.61/0.77 % (3301120)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.61/0.77 % (3301113)Instruction limit reached!
% 2.61/0.77 % (3301113)------------------------------
% 2.61/0.77 % (3301113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.77 % (3301113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.77 % (3301113)CaDiCaL version: 2.1.3
% 2.61/0.77 % (3301113)Termination reason: Instruction limit
% 2.61/0.77 % (3301113)Termination phase: shuffling
% 2.61/0.77 % (3301113)Time elapsed: 0.010 s
% 2.61/0.77 % (3301113)Peak memory usage: 10 MB
% 2.61/0.77 % (3301113)Instructions burned: 22 (million)
% 2.61/0.77 % (3301120)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4108729954:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.61/0.77 % (3301098)Refutation not found, incomplete strategy
% 2.61/0.77 % (3301098)------------------------------
% 3.38/0.82 % (3301098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.82 % (3301098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.82 % (3301098)CaDiCaL version: 2.1.3
% 3.38/0.82 % (3301098)Termination reason: Refutation not found, incomplete strategy
% 3.38/0.82 % (3301098)Time elapsed: 0.052 s
% 3.38/0.82 % (3301098)Peak memory usage: 14 MB
% 3.38/0.82 % (3301098)Instructions burned: 118 (million)
% 3.38/0.82 % (3301098)------------------------------
% 3.38/0.82 % (3301098)------------------------------
% 3.38/0.82 % (3301130)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4072851606:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.38/0.82 % (3301130)Instruction limit reached!
% 3.38/0.82 % (3301130)------------------------------
% 3.38/0.82 % (3301130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.82 % (3301130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.82 % (3301130)CaDiCaL version: 2.1.3
% 3.38/0.82 % (3301130)Termination reason: Instruction limit
% 3.38/0.82 % (3301130)Termination phase: shuffling
% 3.38/0.82 % (3301130)Time elapsed: 0.006 s
% 3.38/0.82 % (3301130)Peak memory usage: 10 MB
% 3.38/0.82 % (3301130)Instructions burned: 14 (million)
% 3.38/0.82 % (3301146)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=2593242088:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.38/0.82 % (3301147)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1693799747:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.38/0.82 % (3301086)Instruction limit reached!
% 3.38/0.82 % (3301086)------------------------------
% 3.38/0.82 % (3301086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.82 % (3301086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.82 % (3301086)CaDiCaL version: 2.1.3
% 3.38/0.82 % (3301086)Termination reason: Instruction limit
% 3.38/0.82 % (3301086)Termination phase: Function definition elimination
% 3.38/0.82 % (3301086)Time elapsed: 0.124 s
% 3.38/0.82 % (3301086)Peak memory usage: 11 MB
% 3.38/0.82 % (3301086)Instructions burned: 318 (million)
% 3.38/0.82 % (3301147)Instruction limit reached!
% 3.38/0.82 % (3301147)------------------------------
% 3.38/0.82 % (3301147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.82 % (3301147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.82 % (3301147)CaDiCaL version: 2.1.3
% 3.38/0.82 % (3301147)Termination reason: Instruction limit
% 3.38/0.82 % (3301147)Termination phase: Property scanning
% 3.38/0.82 % (3301147)Time elapsed: 0.023 s
% 3.38/0.82 % (3301147)Peak memory usage: 11 MB
% 3.38/0.82 % (3301147)Instructions burned: 53 (million)
% 3.38/0.82 % (3301146)Instruction limit reached!
% 3.38/0.82 % (3301146)------------------------------
% 3.38/0.82 % (3301146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.82 % (3301146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.82 % (3301146)CaDiCaL version: 2.1.3
% 3.38/0.82 % (3301146)Termination reason: Instruction limit
% 3.38/0.82 % (3301146)Termination phase: Property scanning
% 3.38/0.82 % (3301146)Time elapsed: 0.029 s
% 3.38/0.82 % (3301146)Peak memory usage: 11 MB
% 3.38/0.83 % (3301146)Instructions burned: 69 (million)
% 3.38/0.83 % (3300993)Instruction limit reached!
% 3.38/0.83 % (3300993)------------------------------
% 3.38/0.83 % (3300993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3300993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3300993)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3300993)Termination reason: Instruction limit
% 3.38/0.83 % (3300993)Termination phase: Saturation
% 3.38/0.83 % (3300993)Time elapsed: 0.394 s
% 3.38/0.83 % (3300993)Peak memory usage: 17 MB
% 3.38/0.83 % (3300993)Instructions burned: 638 (million)
% 3.38/0.83 % (3301049)Instruction limit reached!
% 3.38/0.83 % (3301049)------------------------------
% 3.38/0.83 % (3301049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301049)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301049)Termination reason: Instruction limit
% 3.38/0.83 % (3301049)Termination phase: Property scanning
% 3.38/0.83 % (3301049)Time elapsed: 0.260 s
% 3.38/0.83 % (3301049)Peak memory usage: 11 MB
% 3.38/0.83 % (3301049)Instructions burned: 1241 (million)
% 3.38/0.83 % (3301120)Instruction limit reached!
% 3.38/0.83 % (3301120)------------------------------
% 3.38/0.83 % (3301120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301120)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301120)Termination reason: Instruction limit
% 3.38/0.83 % (3301120)Termination phase: Function definition elimination
% 3.38/0.83 % (3301120)Time elapsed: 0.080 s
% 3.38/0.83 % (3301120)Peak memory usage: 11 MB
% 3.38/0.83 % (3301120)Instructions burned: 202 (million)
% 3.38/0.83 % (3301160)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=620072712:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.38/0.83 % (3301162)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1828409678:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.38/0.83 % (3301163)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=3595405912:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.38/0.83 % (3301166)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=73086664:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.38/0.83 % (3301169)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.38/0.83 % (3301160)Instruction limit reached!
% 3.38/0.83 % (3301160)------------------------------
% 3.38/0.83 % (3301160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301160)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301160)Termination reason: Instruction limit
% 3.38/0.83 % (3301160)Termination phase: Property scanning
% 3.38/0.83 % (3301160)Time elapsed: 0.014 s
% 3.38/0.83 % (3301160)Peak memory usage: 10 MB
% 3.38/0.83 % (3301160)Instructions burned: 31 (million)
% 3.38/0.83 % (3301169)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=243590868:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.38/0.83 % (3301163)Instruction limit reached!
% 3.38/0.83 % (3301163)------------------------------
% 3.38/0.83 % (3301163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301163)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301163)Termination reason: Instruction limit
% 3.38/0.83 % (3301163)Termination phase: Property scanning
% 3.38/0.83 % (3301163)Time elapsed: 0.016 s
% 3.38/0.83 % (3301163)Peak memory usage: 10 MB
% 3.38/0.83 % (3301163)Instructions burned: 36 (million)
% 3.38/0.83 % (3301171)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2619278877:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.38/0.83 % (3301166)Instruction limit reached!
% 3.38/0.83 % (3301166)------------------------------
% 3.38/0.83 % (3301166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301166)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301166)Termination reason: Instruction limit
% 3.38/0.83 % (3301166)Termination phase: Property scanning
% 3.38/0.83 % (3301166)Time elapsed: 0.016 s
% 3.38/0.83 % (3301166)Peak memory usage: 11 MB
% 3.38/0.83 % (3301166)Instructions burned: 68 (million)
% 3.38/0.83 % (3301187)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3033505105:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.38/0.83 % (3301183)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2877227076:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.38/0.83 % (3301185)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3971182066:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.38/0.83 % (3301162)Instruction limit reached!
% 3.38/0.83 % (3301162)------------------------------
% 3.38/0.83 % (3301162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301162)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301162)Termination reason: Instruction limit
% 3.38/0.83 % (3301162)Termination phase: Saturation
% 3.38/0.83 % (3301162)Time elapsed: 0.065 s
% 3.38/0.83 % (3301162)Peak memory usage: 13 MB
% 3.38/0.83 % (3301162)Instructions burned: 137 (million)
% 3.38/0.83 % (3301185)Refutation not found, incomplete strategy
% 3.38/0.83 % (3301185)------------------------------
% 3.38/0.83 % (3301185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301185)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301185)Termination reason: Refutation not found, incomplete strategy
% 3.38/0.83 % (3301185)Time elapsed: 0.031 s
% 3.38/0.83 % (3301185)Peak memory usage: 13 MB
% 3.38/0.83 % (3301185)Instructions burned: 69 (million)
% 3.38/0.83 % (3301185)------------------------------
% 3.38/0.83 % (3301185)------------------------------
% 3.38/0.83 % (3301183)Instruction limit reached!
% 3.38/0.83 % (3301183)------------------------------
% 3.38/0.83 % (3301183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301183)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301183)Termination reason: Instruction limit
% 3.38/0.83 % (3301183)Termination phase: Function definition elimination
% 3.38/0.83 % (3301183)Time elapsed: 0.042 s
% 3.38/0.83 % (3301183)Peak memory usage: 11 MB
% 3.38/0.83 % (3301183)Instructions burned: 97 (million)
% 3.38/0.83 % (3301169)Instruction limit reached!
% 3.38/0.83 % (3301169)------------------------------
% 3.38/0.83 % (3301169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301169)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301169)Termination reason: Instruction limit
% 3.38/0.83 % (3301169)Termination phase: Function definition elimination
% 3.38/0.83 % (3301169)Time elapsed: 0.074 s
% 3.38/0.83 % (3301169)Peak memory usage: 11 MB
% 3.38/0.83 % (3301169)Instructions burned: 181 (million)
% 3.38/0.83 % (3301193)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=516701921:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.38/0.83 % (3301195)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4212197503:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.38/0.83 % (3301199)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2115165526:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.38/0.83 % (3301206)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4011131465:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.38/0.83 % (3301187) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3300985-3301187"...
% 3.38/0.83 % (3301199)Instruction limit reached!
% 3.38/0.83 % (3301199)------------------------------
% 3.38/0.83 % (3301199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301199)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301199)Termination reason: Instruction limit
% 3.38/0.83 % (3301199)Termination phase: Property scanning
% 3.38/0.83 % (3301199)Time elapsed: 0.020 s
% 3.38/0.83 % (3301199)Peak memory usage: 10 MB
% 3.38/0.83 % (3301199)Instructions burned: 46 (million)
% 3.38/0.83 % (3301187)...printing done.
% 3.38/0.83 % (3301187)Refutation found. Thanks to Tanya!
% 3.38/0.83 % SZS status Theorem for theBenchmark
% 3.38/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/0.83 % (3301187)------------------------------
% 3.38/0.83 % (3301187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.83 % (3301187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.83 % (3301187)CaDiCaL version: 2.1.3
% 3.38/0.83 % (3301187)Termination reason: Refutation
% 3.38/0.83 % (3301187)Time elapsed: 0.087 s
% 3.38/0.83 % (3301187)Peak memory usage: 15 MB
% 3.38/0.83 % (3301187)Instructions burned: 356 (million)
% 3.38/0.83 % (3300985)Success in time 0.574 s
% 3.38/0.83 % Vampire exiting
%------------------------------------------------------------------------------