%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM669^4 : 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 : n012.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 1.83s 0.48s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 376 ( 78 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 442 ( 6 ~; 16 |; 0 &; 380 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 148 usr; 7 con; 0-7 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 136 ( 117 ^; 19 !; 0 ?; 136 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_133,type,
vIMP: $o > $o > $o ).
thf(func_def_134,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_138,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_139,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_140,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
vNOT: $o > $o ).
thf(func_def_144,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_146,type,
vIFF: $o > $o > $o ).
thf(func_def_147,type,
vOR: $o > $o > $o ).
thf(func_def_148,type,
vAND: $o > $o > $o ).
thf(func_def_149,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
db7:
!>[X0: $tType] : X0 ).
thf(f1,axiom,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
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(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(f164,axiom,
( is_of @ n_1
@ ^ [X0: $i] : ( in @ X0 @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',n_1_p) ).
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(f234,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( d_29_ii @ ( n_pl @ X0 @ X1 ) @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).
thf(f236,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( d_29_ii @ ( ordsucc @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18b) ).
thf(f237,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( d_29_ii @ ( ordsucc @ X0 ) @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f236]) ).
thf(f238,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f239,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f238]) ).
thf(f267,plain,
( is_of @ n_1
@ ^ [X0: $i] : ( in @ X0 @ nat ) ),
inference(rectify,[],[f164]) ).
thf(f268,plain,
( $true
= ( is_of @ n_1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
inference(fool_elimination,[],[f267]) ).
thf(f277,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( d_29_ii @ ( ordsucc @ X1 ) @ X1 ) ),
inference(rectify,[],[f237]) ).
thf(f278,plain,
( $true
= ( ~ ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) ) ) ),
inference(fool_elimination,[],[f277]) ).
thf(f384,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ X1 @ n_1 ) @ ( ordsucc @ X1 ) ) ),
inference(rectify,[],[f186]) ).
thf(f385,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(fool_elimination,[],[f384]) ).
thf(f401,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f500,plain,
( n_is
= ( e_is @ nat ) ),
inference(fool_elimination,[],[f157]) ).
thf(f555,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f560,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] : ( d_29_ii @ ( n_pl @ X1 @ X3 ) @ X1 ) ) ),
inference(rectify,[],[f234]) ).
thf(f561,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( d_29_ii @ ( n_pl @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(fool_elimination,[],[f560]) ).
thf(f638,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( d_29_ii @ ( n_pl @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f561]) ).
thf(f643,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f239]) ).
thf(f652,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f385]) ).
thf(f654,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f500]) ).
thf(f655,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f555]) ).
thf(f666,plain,
( $true
= ( is_of @ n_1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
inference(cnf_transformation,[],[f268]) ).
thf(f671,plain,
( $true
= ( ~ ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f278]) ).
thf(f676,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f401]) ).
thf(f689,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,[],[f643,f676]) ).
thf(f690,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f654,f655]) ).
thf(f695,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( d_29_ii @ ( n_pl @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f638,f689,f689]) ).
thf(f701,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( n_pl @ Y0 @ n_1 )
@ ( ordsucc @ Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f652,f689,f690]) ).
thf(f710,plain,
( $true
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 )
@ n_1
@ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
inference(definition_unfolding,[],[f666,f676]) ).
thf(f714,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] : ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f671,f689]) ).
thf(f743,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( d_29_ii @ ( n_pl @ Y0 @ Y1 ) @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f695]) ).
thf(f747,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f714]) ).
thf(f752,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ Y0 @ n_1 )
= ( ordsucc @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f701]) ).
thf(f756,plain,
( $true
= ( in @ n_1 @ nat ) ),
inference(beta-eta_normalization,[],[f710]) ).
thf(f758,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f747]) ).
thf(f759,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( ordsucc @ Y0 ) @ Y0 ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f758]) ).
thf(f760,plain,
( $false
= ( ( in @ sK0 @ nat )
=> ( d_29_ii @ ( ordsucc @ sK0 ) @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f759]) ).
thf(f761,plain,
( $false
= ( d_29_ii @ ( ordsucc @ sK0 ) @ sK0 ) ),
inference(imp_proxy_clausification,[],[f760]) ).
thf(f762,plain,
( $true
= ( in @ sK0 @ nat ) ),
inference(imp_proxy_clausification,[],[f760]) ).
thf(f836,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ Y0 @ n_1 )
= ( ordsucc @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f752]) ).
thf(f837,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( ( n_pl @ X1 @ n_1 )
= ( ordsucc @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f836]) ).
thf(f838,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( n_pl @ X1 @ n_1 )
= ( ordsucc @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f837]) ).
thf(f839,plain,
! [X1: $i] :
( ( ( ordsucc @ X1 )
= ( n_pl @ X1 @ n_1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f838]) ).
thf(f904,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( d_29_ii @ ( n_pl @ Y0 @ Y1 ) @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f743]) ).
thf(f905,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( n_pl @ X1 @ Y0 ) @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f904]) ).
thf(f906,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( n_pl @ X1 @ Y0 ) @ X1 ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f905]) ).
thf(f908,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( d_29_ii @ ( n_pl @ X1 @ Y0 ) @ X1 ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f906]) ).
thf(f909,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( ( in @ X2 @ nat )
=> ( d_29_ii @ ( n_pl @ X1 @ X2 ) @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f908]) ).
thf(f910,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( d_29_ii @ ( n_pl @ X1 @ X2 ) @ X1 ) )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f909]) ).
thf(f913,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( in @ n_1 @ nat )
= $false )
| ( ( in @ X0 @ nat )
= $false )
| ( ( d_29_ii @ ( ordsucc @ X0 ) @ X0 )
= $true ) ),
inference(superposition,[],[f910,f839]) ).
thf(f914,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( in @ n_1 @ nat )
= $false )
| ( ( d_29_ii @ ( ordsucc @ X0 ) @ X0 )
= $true ) ),
inference(duplicate_literal_removal,[],[f913]) ).
thf(f916,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( $true = $false )
| ( ( d_29_ii @ ( ordsucc @ X0 ) @ X0 )
= $true ) ),
inference(forward_demodulation,[],[f914,f756]) ).
thf(f917,plain,
! [X0: $i] :
( ( ( d_29_ii @ ( ordsucc @ X0 ) @ X0 )
= $true )
| ( ( in @ X0 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f916]) ).
thf(f921,plain,
( ( $true = $false )
| ( $false
= ( in @ sK0 @ nat ) ) ),
inference(superposition,[],[f917,f761]) ).
thf(f923,plain,
( $false
= ( in @ sK0 @ nat ) ),
inference(trivial_inequality_removal,[],[f921]) ).
thf(f927,plain,
$true = $false,
inference(superposition,[],[f923,f762]) ).
thf(f930,plain,
$false,
inference(trivial_inequality_removal,[],[f927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM669^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 12:34:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running higher-order theorem proving
% 0.09/0.14 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
% 0.41/0.23 % (38225)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.41/0.23 % (38251)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.41/0.23 % (38251)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
% 0.41/0.23 % (38247)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=304028362:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.41/0.23 % (38245)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2835479493:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.41/0.23 % (38246)lrs+10_16_si=on:nwc=1.5:random_seed=4248047621:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.41/0.23 % (38251)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=3305220807:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.41/0.23 % (38249)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2551687856:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.41/0.23 % (38248)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=2727546973: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)
% 0.41/0.23 % (38250)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=641845783:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.41/0.23 % (38247)Instruction limit reached!
% 0.41/0.23 % (38247)------------------------------
% 0.41/0.23 % (38247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.23 % (38247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.23 % (38247)CaDiCaL version: 2.1.3
% 0.41/0.23 % (38247)Termination reason: Instruction limit
% 0.41/0.23 % (38247)Termination phase: shuffling
% 0.41/0.23 % (38247)Time elapsed: 0.001 s
% 0.41/0.23 % (38247)Peak memory usage: 10 MB
% 0.41/0.23 % (38247)Instructions burned: 3 (million)
% 0.41/0.23 % (38246)Instruction limit reached!
% 0.41/0.23 % (38246)------------------------------
% 0.41/0.23 % (38246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.23 % (38246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.23 % (38246)CaDiCaL version: 2.1.3
% 0.41/0.23 % (38246)Termination reason: Instruction limit
% 0.41/0.23 % (38246)Termination phase: Property scanning
% 0.41/0.23 % (38246)Time elapsed: 0.005 s
% 0.41/0.23 % (38246)Peak memory usage: 10 MB
% 0.41/0.23 % (38246)Instructions burned: 22 (million)
% 0.41/0.23 % (38249)Instruction limit reached!
% 0.41/0.23 % (38249)------------------------------
% 0.41/0.23 % (38249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.23 % (38249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.23 % (38249)CaDiCaL version: 2.1.3
% 0.41/0.23 % (38249)Termination reason: Instruction limit
% 0.41/0.23 % (38249)Termination phase: Property scanning
% 0.41/0.23 % (38249)Time elapsed: 0.006 s
% 0.41/0.23 % (38249)Peak memory usage: 10 MB
% 0.41/0.23 % (38249)Instructions burned: 26 (million)
% 0.41/0.23 % (38267)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4011680589:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.41/0.23 % (38267)Instruction limit reached!
% 0.41/0.23 % (38267)------------------------------
% 0.41/0.23 % (38267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.23 % (38267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.23 % (38267)CaDiCaL version: 2.1.3
% 0.41/0.23 % (38267)Termination reason: Instruction limit
% 0.41/0.23 % (38267)Termination phase: shuffling
% 0.41/0.23 % (38267)Time elapsed: 0.001 s
% 0.41/0.23 % (38267)Peak memory usage: 10 MB
% 0.41/0.23 % (38267)Instructions burned: 3 (million)
% 0.41/0.23 % (38273)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.41/0.23 % (38271)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3791391435:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.41/0.25 % (38273)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1590076511:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.41/0.25 % (38271)Instruction limit reached!
% 0.41/0.25 % (38271)------------------------------
% 0.41/0.25 % (38271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.25 % (38271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.25 % (38271)CaDiCaL version: 2.1.3
% 0.41/0.25 % (38271)Termination reason: Instruction limit
% 0.41/0.25 % (38271)Termination phase: shuffling
% 0.41/0.25 % (38271)Time elapsed: 0.002 s
% 0.41/0.25 % (38271)Peak memory usage: 10 MB
% 0.41/0.25 % (38271)Instructions burned: 8 (million)
% 0.41/0.25 % (38250)Instruction limit reached!
% 0.41/0.25 % (38250)------------------------------
% 0.41/0.25 % (38250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.25 % (38250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.25 % (38250)CaDiCaL version: 2.1.3
% 0.41/0.25 % (38250)Termination reason: Instruction limit
% 0.41/0.25 % (38250)Termination phase: Function definition elimination
% 0.41/0.25 % (38250)Time elapsed: 0.018 s
% 0.41/0.25 % (38250)Peak memory usage: 11 MB
% 0.41/0.25 % (38250)Instructions burned: 77 (million)
% 0.41/0.25 % (38273)Instruction limit reached!
% 0.41/0.25 % (38273)------------------------------
% 0.41/0.25 % (38273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.25 % (38273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.25 % (38273)CaDiCaL version: 2.1.3
% 0.41/0.25 % (38273)Termination reason: Instruction limit
% 0.41/0.25 % (38273)Termination phase: shuffling
% 0.41/0.25 % (38273)Time elapsed: 0.002 s
% 0.41/0.25 % (38273)Peak memory usage: 10 MB
% 0.41/0.25 % (38273)Instructions burned: 8 (million)
% 0.41/0.25 % (38245)Instruction limit reached!
% 0.41/0.25 % (38245)------------------------------
% 0.41/0.25 % (38245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.25 % (38245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.25 % (38245)CaDiCaL version: 2.1.3
% 0.41/0.25 % (38245)Termination reason: Instruction limit
% 0.41/0.25 % (38245)Termination phase: Function definition elimination
% 0.41/0.25 % (38245)Time elapsed: 0.020 s
% 0.41/0.25 % (38245)Peak memory usage: 11 MB
% 0.41/0.25 % (38245)Instructions burned: 88 (million)
% 0.41/0.25 % (38279)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3533701455:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.41/0.25 % (38279)Instruction limit reached!
% 0.41/0.25 % (38279)------------------------------
% 0.41/0.25 % (38279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.25 % (38279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.25 % (38279)CaDiCaL version: 2.1.3
% 0.41/0.25 % (38279)Termination reason: Instruction limit
% 0.41/0.25 % (38279)Termination phase: shuffling
% 0.41/0.25 % (38279)Time elapsed: 0.003 s
% 0.41/0.25 % (38279)Peak memory usage: 10 MB
% 0.41/0.25 % (38279)Instructions burned: 12 (million)
% 0.41/0.25 % (38285)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
% 0.41/0.25 % (38285)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.41/0.25 % (38289)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.41/0.25 % (38285)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1698750904:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.41/0.25 % (38287)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=69652542:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.41/0.25 % (38288)lrs+10_1_si=on:cs=on:random_seed=3454137824:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.41/0.25 % (38289)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=3191621479:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.41/0.27 % (38289)Instruction limit reached!
% 0.41/0.27 % (38289)------------------------------
% 0.41/0.27 % (38289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38289)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38289)Termination reason: Instruction limit
% 0.41/0.27 % (38289)Termination phase: shuffling
% 0.41/0.27 % (38289)Time elapsed: 0.002 s
% 0.41/0.27 % (38289)Peak memory usage: 10 MB
% 0.41/0.27 % (38289)Instructions burned: 8 (million)
% 0.41/0.27 % (38288)Instruction limit reached!
% 0.41/0.27 % (38288)------------------------------
% 0.41/0.27 % (38288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38288)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38288)Termination reason: Instruction limit
% 0.41/0.27 % (38288)Termination phase: shuffling
% 0.41/0.27 % (38288)Time elapsed: 0.004 s
% 0.41/0.27 % (38288)Peak memory usage: 10 MB
% 0.41/0.27 % (38288)Instructions burned: 17 (million)
% 0.41/0.27 % (38251)Instruction limit reached!
% 0.41/0.27 % (38251)------------------------------
% 0.41/0.27 % (38251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38251)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38251)Termination reason: Instruction limit
% 0.41/0.27 % (38251)Termination phase: Function definition elimination
% 0.41/0.27 % (38251)Time elapsed: 0.034 s
% 0.41/0.27 % (38251)Peak memory usage: 11 MB
% 0.41/0.27 % (38251)Instructions burned: 158 (million)
% 0.41/0.27 % (38294)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1049347269:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.41/0.27 % (38285)Instruction limit reached!
% 0.41/0.27 % (38285)------------------------------
% 0.41/0.27 % (38285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38285)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38285)Termination reason: Instruction limit
% 0.41/0.27 % (38285)Termination phase: Property scanning
% 0.41/0.27 % (38285)Time elapsed: 0.009 s
% 0.41/0.27 % (38285)Peak memory usage: 10 MB
% 0.41/0.27 % (38285)Instructions burned: 28 (million)
% 0.41/0.27 % (38299)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3123820330:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.41/0.27 % (38300)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=936712053:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.41/0.27 % (38301)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1221052647:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.41/0.27 % (38294)Instruction limit reached!
% 0.41/0.27 % (38294)------------------------------
% 0.41/0.27 % (38294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38294)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38294)Termination reason: Instruction limit
% 0.41/0.27 % (38294)Termination phase: Property scanning
% 0.41/0.27 % (38294)Time elapsed: 0.010 s
% 0.41/0.27 % (38294)Peak memory usage: 11 MB
% 0.41/0.27 % (38294)Instructions burned: 41 (million)
% 0.41/0.27 % (38287)Instruction limit reached!
% 0.41/0.27 % (38287)------------------------------
% 0.41/0.27 % (38287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.27 % (38304)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=297431198:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.41/0.27 % (38287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.27 % (38287)CaDiCaL version: 2.1.3
% 0.41/0.27 % (38287)Termination reason: Instruction limit
% 0.41/0.27 % (38287)Termination phase: Function definition elimination
% 0.41/0.27 % (38287)Time elapsed: 0.019 s
% 0.41/0.27 % (38287)Peak memory usage: 11 MB
% 0.41/0.27 % (38287)Instructions burned: 89 (million)
% 0.41/0.31 % (38301)Instruction limit reached!
% 0.41/0.31 % (38301)------------------------------
% 0.41/0.31 % (38301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38301)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38301)Termination reason: Instruction limit
% 0.41/0.31 % (38301)Termination phase: shuffling
% 0.41/0.31 % (38301)Time elapsed: 0.004 s
% 0.41/0.31 % (38301)Peak memory usage: 10 MB
% 0.41/0.31 % (38301)Instructions burned: 18 (million)
% 0.41/0.31 % (38300)Instruction limit reached!
% 0.41/0.31 % (38300)------------------------------
% 0.41/0.31 % (38300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38300)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38300)Termination reason: Instruction limit
% 0.41/0.31 % (38300)Termination phase: Property scanning
% 0.41/0.31 % (38300)Time elapsed: 0.006 s
% 0.41/0.31 % (38300)Peak memory usage: 10 MB
% 0.41/0.31 % (38300)Instructions burned: 27 (million)
% 0.41/0.31 % (38299)Refutation not found, incomplete strategy
% 0.41/0.31 % (38299)------------------------------
% 0.41/0.31 % (38299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38299)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38299)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.31 % (38299)Time elapsed: 0.011 s
% 0.41/0.31 % (38299)Peak memory usage: 13 MB
% 0.41/0.31 % (38299)Instructions burned: 46 (million)
% 0.41/0.31 % (38299)------------------------------
% 0.41/0.31 % (38299)------------------------------
% 0.41/0.31 % (38311)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3781270062:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.41/0.31 % (38313)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3806412391:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.41/0.31 % (38314)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3866427385:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.41/0.31 % (38313)Instruction limit reached!
% 0.41/0.31 % (38313)------------------------------
% 0.41/0.31 % (38313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38313)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38313)Termination reason: Instruction limit
% 0.41/0.31 % (38313)Termination phase: shuffling
% 0.41/0.31 % (38313)Time elapsed: 0.001 s
% 0.41/0.31 % (38313)Peak memory usage: 10 MB
% 0.41/0.31 % (38313)Instructions burned: 3 (million)
% 0.41/0.31 % (38315)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1498759174:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.41/0.31 % (38311)Instruction limit reached!
% 0.41/0.31 % (38311)------------------------------
% 0.41/0.31 % (38311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38311)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38311)Termination reason: Instruction limit
% 0.41/0.31 % (38311)Termination phase: shuffling
% 0.41/0.31 % (38311)Time elapsed: 0.004 s
% 0.41/0.31 % (38311)Peak memory usage: 10 MB
% 0.41/0.31 % (38311)Instructions burned: 17 (million)
% 0.41/0.31 % (38314)Instruction limit reached!
% 0.41/0.31 % (38314)------------------------------
% 0.41/0.31 % (38314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (38314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (38314)CaDiCaL version: 2.1.3
% 0.41/0.31 % (38314)Termination reason: Instruction limit
% 0.41/0.31 % (38314)Termination phase: Property scanning
% 0.41/0.31 % (38314)Time elapsed: 0.006 s
% 0.41/0.31 % (38314)Peak memory usage: 10 MB
% 0.41/0.31 % (38314)Instructions burned: 27 (million)
% 0.41/0.31 % (38316)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4137299423:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.41/0.31 % (38315)Instruction limit reached!
% 0.41/0.31 % (38315)------------------------------
% 0.41/0.31 % (38315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38315)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38315)Termination reason: Instruction limit
% 1.12/0.34 % (38315)Termination phase: Property scanning
% 1.12/0.34 % (38315)Time elapsed: 0.006 s
% 1.12/0.34 % (38315)Peak memory usage: 10 MB
% 1.12/0.34 % (38315)Instructions burned: 27 (million)
% 1.12/0.34 % (38320)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
% 1.12/0.34 % (38320)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.12/0.34 % (38322)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.12/0.34 % (38320)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=3843739064:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.12/0.34 % (38322)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=2834603552:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.12/0.34 % (38322)Instruction limit reached!
% 1.12/0.34 % (38322)------------------------------
% 1.12/0.34 % (38322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38322)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38322)Termination reason: Instruction limit
% 1.12/0.34 % (38322)Termination phase: shuffling
% 1.12/0.34 % (38322)Time elapsed: 0.002 s
% 1.12/0.34 % (38322)Peak memory usage: 10 MB
% 1.12/0.34 % (38322)Instructions burned: 8 (million)
% 1.12/0.34 % (38320)Instruction limit reached!
% 1.12/0.34 % (38320)------------------------------
% 1.12/0.34 % (38320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38320)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38320)Termination reason: Instruction limit
% 1.12/0.34 % (38320)Termination phase: shuffling
% 1.12/0.34 % (38320)Time elapsed: 0.004 s
% 1.12/0.34 % (38320)Peak memory usage: 10 MB
% 1.12/0.34 % (38320)Instructions burned: 17 (million)
% 1.12/0.34 % (38324)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=1579148518:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.12/0.34 % (38325)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3994493196:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.12/0.34 % (38325)Instruction limit reached!
% 1.12/0.34 % (38325)------------------------------
% 1.12/0.34 % (38325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38325)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38325)Termination reason: Instruction limit
% 1.12/0.34 % (38325)Termination phase: shuffling
% 1.12/0.34 % (38325)Time elapsed: 0.002 s
% 1.12/0.34 % (38325)Peak memory usage: 10 MB
% 1.12/0.34 % (38325)Instructions burned: 8 (million)
% 1.12/0.34 % (38316)Instruction limit reached!
% 1.12/0.34 % (38316)------------------------------
% 1.12/0.34 % (38316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38316)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38316)Termination reason: Instruction limit
% 1.12/0.34 % (38316)Termination phase: Property scanning
% 1.12/0.34 % (38316)Time elapsed: 0.015 s
% 1.12/0.34 % (38316)Peak memory usage: 11 MB
% 1.12/0.34 % (38316)Instructions burned: 64 (million)
% 1.12/0.34 % (38324)Instruction limit reached!
% 1.12/0.34 % (38324)------------------------------
% 1.12/0.34 % (38324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.34 % (38324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.34 % (38324)CaDiCaL version: 2.1.3
% 1.12/0.34 % (38324)Termination reason: Instruction limit
% 1.12/0.34 % (38324)Termination phase: Property scanning
% 1.12/0.37 % (38324)Time elapsed: 0.007 s
% 1.12/0.37 % (38324)Peak memory usage: 10 MB
% 1.12/0.37 % (38324)Instructions burned: 32 (million)
% 1.12/0.37 % (38328)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3653149175:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.12/0.37 % (38329)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3872854421:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.12/0.37 % (38332)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2888813991:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.12/0.37 % (38329)Instruction limit reached!
% 1.12/0.37 % (38329)------------------------------
% 1.12/0.37 % (38329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.37 % (38329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.37 % (38329)CaDiCaL version: 2.1.3
% 1.12/0.37 % (38329)Termination reason: Instruction limit
% 1.12/0.37 % (38329)Termination phase: Property scanning
% 1.12/0.37 % (38329)Time elapsed: 0.005 s
% 1.12/0.37 % (38329)Peak memory usage: 10 MB
% 1.12/0.37 % (38329)Instructions burned: 22 (million)
% 1.12/0.37 % (38328)Instruction limit reached!
% 1.12/0.37 % (38328)------------------------------
% 1.12/0.37 % (38328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.37 % (38328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.37 % (38328)CaDiCaL version: 2.1.3
% 1.12/0.37 % (38328)Termination reason: Instruction limit
% 1.12/0.37 % (38328)Termination phase: Property scanning
% 1.12/0.37 % (38328)Time elapsed: 0.006 s
% 1.12/0.37 % (38328)Peak memory usage: 10 MB
% 1.12/0.37 % (38328)Instructions burned: 26 (million)
% 1.12/0.37 % (38333)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2760325213:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.12/0.37 % (38334)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3597228561:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.12/0.37 % (38340)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.37 % (38338)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3670666184:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.12/0.37 % (38340)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3592750164:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.12/0.37 % (38340)Instruction limit reached!
% 1.12/0.37 % (38340)------------------------------
% 1.12/0.37 % (38340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.37 % (38340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.37 % (38340)CaDiCaL version: 2.1.3
% 1.12/0.37 % (38340)Termination reason: Instruction limit
% 1.12/0.37 % (38340)Termination phase: shuffling
% 1.12/0.37 % (38340)Time elapsed: 0.002 s
% 1.12/0.37 % (38340)Peak memory usage: 10 MB
% 1.12/0.37 % (38340)Instructions burned: 8 (million)
% 1.12/0.37 % (38338)Instruction limit reached!
% 1.12/0.37 % (38338)------------------------------
% 1.12/0.37 % (38338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.37 % (38338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.37 % (38338)CaDiCaL version: 2.1.3
% 1.12/0.37 % (38338)Termination reason: Instruction limit
% 1.12/0.37 % (38338)Termination phase: Property scanning
% 1.12/0.37 % (38338)Time elapsed: 0.010 s
% 1.12/0.37 % (38338)Peak memory usage: 11 MB
% 1.12/0.37 % (38338)Instructions burned: 45 (million)
% 1.12/0.37 % (38344)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3374462722:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.12/0.37 % (38345)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=3844763416:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.12/0.37 % (38333)Instruction limit reached!
% 1.12/0.37 % (38333)------------------------------
% 1.12/0.37 % (38333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38333)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38333)Termination reason: Instruction limit
% 1.12/0.41 % (38333)Termination phase: Function definition elimination
% 1.12/0.41 % (38333)Time elapsed: 0.032 s
% 1.12/0.41 % (38333)Peak memory usage: 11 MB
% 1.12/0.41 % (38333)Instructions burned: 145 (million)
% 1.12/0.41 % (38304)Instruction limit reached!
% 1.12/0.41 % (38304)------------------------------
% 1.12/0.41 % (38304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38304)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38304)Termination reason: Instruction limit
% 1.12/0.41 % (38304)Termination phase: Saturation
% 1.12/0.41 % (38304)Time elapsed: 0.083 s
% 1.12/0.41 % (38304)Peak memory usage: 14 MB
% 1.12/0.41 % (38304)Instructions burned: 341 (million)
% 1.12/0.41 % (38348)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.12/0.41 % (38348)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=959032077:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.12/0.41 % (38348)Instruction limit reached!
% 1.12/0.41 % (38348)------------------------------
% 1.12/0.41 % (38348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38348)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38348)Termination reason: Instruction limit
% 1.12/0.41 % (38348)Termination phase: shuffling
% 1.12/0.41 % (38348)Time elapsed: 0.002 s
% 1.12/0.41 % (38348)Peak memory usage: 10 MB
% 1.12/0.41 % (38348)Instructions burned: 10 (million)
% 1.12/0.41 % (38345)Refutation not found, incomplete strategy
% 1.12/0.41 % (38345)------------------------------
% 1.12/0.41 % (38345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38345)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38345)Termination reason: Refutation not found, incomplete strategy
% 1.12/0.41 % (38345)Time elapsed: 0.016 s
% 1.12/0.41 % (38345)Peak memory usage: 13 MB
% 1.12/0.41 % (38345)Instructions burned: 68 (million)
% 1.12/0.41 % (38345)------------------------------
% 1.12/0.41 % (38345)------------------------------
% 1.12/0.41 % (38349)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=208532665:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.12/0.41 % (38351)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2180764855:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.12/0.41 % (38349)Instruction limit reached!
% 1.12/0.41 % (38349)------------------------------
% 1.12/0.41 % (38349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38349)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38349)Termination reason: Instruction limit
% 1.12/0.41 % (38349)Termination phase: Property scanning
% 1.12/0.41 % (38349)Time elapsed: 0.005 s
% 1.12/0.41 % (38349)Peak memory usage: 10 MB
% 1.12/0.41 % (38349)Instructions burned: 23 (million)
% 1.12/0.41 % (38334)Instruction limit reached!
% 1.12/0.41 % (38334)------------------------------
% 1.12/0.41 % (38334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.41 % (38334)CaDiCaL version: 2.1.3
% 1.12/0.41 % (38334)Termination reason: Instruction limit
% 1.12/0.41 % (38334)Termination phase: Saturation
% 1.12/0.41 % (38334)Time elapsed: 0.055 s
% 1.12/0.41 % (38334)Peak memory usage: 14 MB
% 1.12/0.41 % (38334)Instructions burned: 195 (million)
% 1.12/0.41 % (38352)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=1362999298:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.12/0.41 % (38351)Instruction limit reached!
% 1.12/0.41 % (38351)------------------------------
% 1.12/0.41 % (38351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.41 % (38351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38351)CaDiCaL version: 2.1.3
% 1.83/0.45 % (38351)Termination reason: Instruction limit
% 1.83/0.45 % (38351)Termination phase: Property scanning
% 1.83/0.45 % (38351)Time elapsed: 0.005 s
% 1.83/0.45 % (38351)Peak memory usage: 10 MB
% 1.83/0.45 % (38351)Instructions burned: 22 (million)
% 1.83/0.45 % (38355)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=727143660:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.83/0.45 % (38356)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=73212678:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.83/0.45 % (38344)Instruction limit reached!
% 1.83/0.45 % (38344)------------------------------
% 1.83/0.45 % (38344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.45 % (38344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38344)CaDiCaL version: 2.1.3
% 1.83/0.45 % (38344)Termination reason: Instruction limit
% 1.83/0.45 % (38344)Termination phase: Saturation
% 1.83/0.45 % (38344)Time elapsed: 0.048 s
% 1.83/0.45 % (38344)Peak memory usage: 13 MB
% 1.83/0.45 % (38344)Instructions burned: 182 (million)
% 1.83/0.45 % (38358)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2142635330:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.83/0.45 % (38356)Instruction limit reached!
% 1.83/0.45 % (38356)------------------------------
% 1.83/0.45 % (38356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.45 % (38356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38356)CaDiCaL version: 2.1.3
% 1.83/0.45 % (38356)Termination reason: Instruction limit
% 1.83/0.45 % (38356)Termination phase: SInE selection
% 1.83/0.45 % (38356)Time elapsed: 0.010 s
% 1.83/0.45 % (38356)Peak memory usage: 11 MB
% 1.83/0.45 % (38356)Instructions burned: 46 (million)
% 1.83/0.45 % (38361)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3840846759:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.83/0.45 % (38361)Instruction limit reached!
% 1.83/0.45 % (38361)------------------------------
% 1.83/0.45 % (38361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.45 % (38361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38361)CaDiCaL version: 2.1.3
% 1.83/0.45 % (38361)Termination reason: Instruction limit
% 1.83/0.45 % (38361)Termination phase: Property scanning
% 1.83/0.45 % (38361)Time elapsed: 0.005 s
% 1.83/0.45 % (38361)Peak memory usage: 10 MB
% 1.83/0.45 % (38361)Instructions burned: 22 (million)
% 1.83/0.45 % (38363)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.83/0.45 % (38363)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=343731084:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.83/0.45 % (38358)Refutation not found, incomplete strategy
% 1.83/0.45 % (38358)------------------------------
% 1.83/0.45 % (38358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.45 % (38358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38358)CaDiCaL version: 2.1.3
% 1.83/0.45 % (38358)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.45 % (38358)Time elapsed: 0.021 s
% 1.83/0.45 % (38358)Peak memory usage: 13 MB
% 1.83/0.45 % (38358)Instructions burned: 86 (million)
% 1.83/0.45 % (38358)------------------------------
% 1.83/0.45 % (38358)------------------------------
% 1.83/0.45 % (38365)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2883863857:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.83/0.45 % (38248)Instruction limit reached!
% 1.83/0.45 % (38248)------------------------------
% 1.83/0.45 % (38248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.45 % (38248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.45 % (38248)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38248)Termination reason: Instruction limit
% 1.83/0.48 % (38248)Termination phase: Saturation
% 1.83/0.48 % (38248)Time elapsed: 0.188 s
% 1.83/0.48 % (38248)Peak memory usage: 17 MB
% 1.83/0.48 % (38248)Instructions burned: 637 (million)
% 1.83/0.48 % (38365)Instruction limit reached!
% 1.83/0.48 % (38365)------------------------------
% 1.83/0.48 % (38365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38365)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38365)Termination reason: Instruction limit
% 1.83/0.48 % (38365)Termination phase: shuffling
% 1.83/0.48 % (38365)Time elapsed: 0.004 s
% 1.83/0.48 % (38365)Peak memory usage: 10 MB
% 1.83/0.48 % (38365)Instructions burned: 18 (million)
% 1.83/0.48 % (38367)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=127984370:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.83/0.48 % (38369)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4046416891:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.83/0.48 % (38370)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2376464650:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.83/0.48 % (38370)Instruction limit reached!
% 1.83/0.48 % (38370)------------------------------
% 1.83/0.48 % (38370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38370)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38370)Termination reason: Instruction limit
% 1.83/0.48 % (38370)Termination phase: Property scanning
% 1.83/0.48 % (38370)Time elapsed: 0.007 s
% 1.83/0.48 % (38370)Peak memory usage: 10 MB
% 1.83/0.48 % (38370)Instructions burned: 31 (million)
% 1.83/0.48 % (38367)Instruction limit reached!
% 1.83/0.48 % (38367)------------------------------
% 1.83/0.48 % (38367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38367)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38367)Termination reason: Instruction limit
% 1.83/0.48 % (38367)Termination phase: Function definition elimination
% 1.83/0.48 % (38367)Time elapsed: 0.016 s
% 1.83/0.48 % (38367)Peak memory usage: 11 MB
% 1.83/0.48 % (38367)Instructions burned: 68 (million)
% 1.83/0.48 % (38369)Instruction limit reached!
% 1.83/0.48 % (38369)------------------------------
% 1.83/0.48 % (38369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38369)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38369)Termination reason: Instruction limit
% 1.83/0.48 % (38369)Termination phase: Function definition elimination
% 1.83/0.48 % (38369)Time elapsed: 0.012 s
% 1.83/0.48 % (38369)Peak memory usage: 11 MB
% 1.83/0.48 % (38369)Instructions burned: 53 (million)
% 1.83/0.48 % (38352)Instruction limit reached!
% 1.83/0.48 % (38352)------------------------------
% 1.83/0.48 % (38352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38352)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38352)Termination reason: Instruction limit
% 1.83/0.48 % (38352)Termination phase: Function definition elimination
% 1.83/0.48 % (38352)Time elapsed: 0.066 s
% 1.83/0.48 % (38352)Peak memory usage: 11 MB
% 1.83/0.48 % (38352)Instructions burned: 317 (million)
% 1.83/0.48 % (38374)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2202403385:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.83/0.48 % (38376)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3756923847:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 1.83/0.48 % (38375)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=1808412417:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.83/0.48 % (38363)Instruction limit reached!
% 1.83/0.48 % (38363)------------------------------
% 1.83/0.48 % (38363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38363)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38363)Termination reason: Instruction limit
% 1.83/0.48 % (38363)Termination phase: Function definition elimination
% 1.83/0.48 % (38363)Time elapsed: 0.043 s
% 1.83/0.48 % (38363)Peak memory usage: 11 MB
% 1.83/0.48 % (38363)Instructions burned: 200 (million)
% 1.83/0.48 % (38377)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.83/0.48 % (38377)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1931053123:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 1.83/0.48 % (38375)Instruction limit reached!
% 1.83/0.48 % (38375)------------------------------
% 1.83/0.48 % (38375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38375)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38375)Termination reason: Instruction limit
% 1.83/0.48 % (38375)Termination phase: Property scanning
% 1.83/0.48 % (38375)Time elapsed: 0.010 s
% 1.83/0.48 % (38375)Peak memory usage: 11 MB
% 1.83/0.48 % (38375)Instructions burned: 45 (million)
% 1.83/0.48 % (38381)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=246486987:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.83/0.48 % (38376)Instruction limit reached!
% 1.83/0.48 % (38376)------------------------------
% 1.83/0.48 % (38376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38376)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38376)Termination reason: Instruction limit
% 1.83/0.48 % (38376)Termination phase: Function definition elimination
% 1.83/0.48 % (38376)Time elapsed: 0.016 s
% 1.83/0.48 % (38376)Peak memory usage: 11 MB
% 1.83/0.48 % (38376)Instructions burned: 70 (million)
% 1.83/0.48 % (38383)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1291594595:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 1.83/0.48 % (38385)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1266199565:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.83/0.48 % (38381)Refutation not found, incomplete strategy
% 1.83/0.48 % (38381)------------------------------
% 1.83/0.48 % (38381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38381)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38381)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.48 % (38381)Time elapsed: 0.020 s
% 1.83/0.48 % (38381)Peak memory usage: 13 MB
% 1.83/0.48 % (38381)Instructions burned: 79 (million)
% 1.83/0.48 % (38381)------------------------------
% 1.83/0.48 % (38381)------------------------------
% 1.83/0.48 % (38385)Refutation not found, incomplete strategy
% 1.83/0.48 % (38385)------------------------------
% 1.83/0.48 % (38385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38385)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38385)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.48 % (38385)Time elapsed: 0.011 s
% 1.83/0.48 % (38385)Peak memory usage: 13 MB
% 1.83/0.48 % (38385)Instructions burned: 43 (million)
% 1.83/0.48 % (38374)Instruction limit reached!
% 1.83/0.48 % (38374)------------------------------
% 1.83/0.48 % (38374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38374)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38374)Termination reason: Instruction limit
% 1.83/0.48 % (38374)Termination phase: Saturation
% 1.83/0.48 % (38374)Time elapsed: 0.039 s
% 1.83/0.48 % (38374)Peak memory usage: 13 MB
% 1.83/0.48 % (38374)Instructions burned: 140 (million)
% 1.83/0.48 % (38385)------------------------------
% 1.83/0.48 % (38385)------------------------------
% 1.83/0.48 % (38383)Instruction limit reached!
% 1.83/0.48 % (38383)------------------------------
% 1.83/0.48 % (38383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38383)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38383)Termination reason: Instruction limit
% 1.83/0.48 % (38383)Termination phase: Function definition elimination
% 1.83/0.48 % (38383)Time elapsed: 0.021 s
% 1.83/0.48 % (38383)Peak memory usage: 11 MB
% 1.83/0.48 % (38383)Instructions burned: 96 (million)
% 1.83/0.48 % (38388)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2110578146:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.83/0.48 % (38377)Instruction limit reached!
% 1.83/0.48 % (38377)------------------------------
% 1.83/0.48 % (38377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38377)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38377)Termination reason: Instruction limit
% 1.83/0.48 % (38377)Termination phase: Function definition elimination
% 1.83/0.48 % (38377)Time elapsed: 0.039 s
% 1.83/0.48 % (38377)Peak memory usage: 11 MB
% 1.83/0.48 % (38377)Instructions burned: 185 (million)
% 1.83/0.48 % (38390)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3621204424:st=1.5:i=130:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/130Mi)
% 1.83/0.48 % (38389)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3755836527:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 1.83/0.48 % (38392)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1406405766:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 1.83/0.48 % (38393)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4026362849:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 1.83/0.48 % (38392)Instruction limit reached!
% 1.83/0.48 % (38392)------------------------------
% 1.83/0.48 % (38392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38392)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38392)Termination reason: Instruction limit
% 1.83/0.48 % (38392)Termination phase: Property scanning
% 1.83/0.48 % (38392)Time elapsed: 0.010 s
% 1.83/0.48 % (38392)Peak memory usage: 11 MB
% 1.83/0.48 % (38392)Instructions burned: 46 (million)
% 1.83/0.48 % (38390) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-38225-38390"...
% 1.83/0.48 % (38390)...printing done.
% 1.83/0.48 % (38390)Refutation found. Thanks to Tanya!
% 1.83/0.48 % SZS status Theorem for theBenchmark
% 1.83/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.48 % (38390)------------------------------
% 1.83/0.48 % (38390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.48 % (38390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.48 % (38390)CaDiCaL version: 2.1.3
% 1.83/0.48 % (38390)Termination reason: Refutation
% 1.83/0.48 % (38390)Time elapsed: 0.023 s
% 1.83/0.48 % (38390)Peak memory usage: 13 MB
% 1.83/0.48 % (38390)Instructions burned: 92 (million)
% 1.83/0.48 % (38225)Success in time 0.333 s
% 1.83/0.48 % Vampire exiting
%------------------------------------------------------------------------------