%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM749^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:45 AM UTC 2026
% Result : Theorem 1.87s 0.64s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 399 ( 53 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 821 ( 7 ~; 0 |; 0 &; 814 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 195 ( 192 usr; 8 con; 0-7 aty)
% Number of variables : 261 ( 261 ^; 0 !; 0 ?; 261 :)
% 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,
lbprop: ( $i > $o ) > $i > $i > $o ).
thf(func_def_133,type,
n_lb: ( $i > $o ) > $i > $o ).
thf(func_def_134,type,
min: ( $i > $o ) > $i > $o ).
thf(func_def_135,type,
d_428_prop1: $i > $i > $o ).
thf(func_def_136,type,
d_428_prop2: $i > $i > $o ).
thf(func_def_137,type,
d_428_prop4: $i > $o ).
thf(func_def_139,type,
d_428_g: $i > $i ).
thf(func_def_140,type,
times: $i > $i ).
thf(func_def_141,type,
n_ts: $i > $i > $i ).
thf(func_def_142,type,
d_429_prop1: $i > $i > $o ).
thf(func_def_143,type,
d_430_prop1: $i > $i > $i > $o ).
thf(func_def_144,type,
d_431_prop1: $i > $i > $i > $o ).
thf(func_def_145,type,
n_mn: $i > $i > $i ).
thf(func_def_146,type,
d_1to: $i > $i ).
thf(func_def_147,type,
outn: $i > $i > $i ).
thf(func_def_148,type,
inn: $i > $i > $i ).
thf(func_def_150,type,
singlet_u0: $i > $i ).
thf(func_def_154,type,
pair_u0: $i > $i ).
thf(func_def_155,type,
pair1type: $i > $i ).
thf(func_def_156,type,
pair1: $i > $i > $i > $i ).
thf(func_def_157,type,
first1: $i > $i > $i ).
thf(func_def_158,type,
second1: $i > $i > $i ).
thf(func_def_159,type,
pair_q0: $i > $i > $i ).
thf(func_def_160,type,
d_1out: $i > $i ).
thf(func_def_161,type,
xout: $i > $i ).
thf(func_def_162,type,
left1to: $i > $i > $i > $i ).
thf(func_def_163,type,
right1to: $i > $i > $i > $i ).
thf(func_def_164,type,
left: $i > $i > $i > $i > $i ).
thf(func_def_165,type,
right: $i > $i > $i > $i > $i ).
thf(func_def_166,type,
left_f1: $i > $i > $i > $i > $i ).
thf(func_def_167,type,
left_f2: $i > $i > $i > $i > $i ).
thf(func_def_169,type,
n_fr: $i > $i > $i ).
thf(func_def_170,type,
num: $i > $i ).
thf(func_def_171,type,
den: $i > $i ).
thf(func_def_172,type,
n_eq: $i > $i > $o ).
thf(func_def_173,type,
moref: $i > $i > $o ).
thf(func_def_174,type,
lessf: $i > $i > $o ).
thf(func_def_175,type,
moreq: $i > $i > $o ).
thf(func_def_176,type,
lesseq: $i > $i > $o ).
thf(func_def_177,type,
n_pf: $i > $i > $i ).
thf(func_def_178,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_179,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_180,type,
vIMP: $o > $o > $o ).
thf(func_def_181,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_182,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_183,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_186,type,
vAND: $o > $o > $o ).
thf(func_def_187,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_188,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_189,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_190,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_191,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_192,type,
vNOT: $o > $o ).
thf(func_def_193,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_194,type,
vOR: $o > $o > $o ).
thf(func_def_195,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_196,type,
sK0: $i > $i > $i > $i ).
thf(func_def_197,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_198,type,
sK2: ( $i > $i ) > $i > ( $i > $i ) > $i ).
thf(f160,axiom,
( n_some
= ( l_some @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(f203,axiom,
( diffprop
= ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop) ).
thf(f205,axiom,
( d_29_ii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(f206,axiom,
( ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) )
= iii ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).
thf(f341,axiom,
( pair1
= ( ^ [X0: $i,X1: $i,X2: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [X3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ X3 @ n_1t ) @ X0 @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_pair1) ).
thf(f342,axiom,
( ( ^ [X0: $i,X1: $i] : ( ap @ X1 @ n_1t ) )
= first1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_first1) ).
thf(f343,axiom,
( second1
= ( ^ [X0: $i,X1: $i] : ( ap @ X1 @ n_2t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_second1) ).
thf(f354,axiom,
( n_fr
= ( pair1 @ nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_fr) ).
thf(f355,axiom,
( num
= ( first1 @ nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_num) ).
thf(f356,axiom,
( den
= ( second1 @ nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_den) ).
thf(f365,axiom,
( moref
= ( ^ [X0: $i,X1: $i] : ( d_29_ii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moref) ).
thf(f366,axiom,
( ( ^ [X0: $i,X1: $i] : ( iii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )
= lessf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessf) ).
thf(f397,axiom,
( n_pf
= ( ^ [X0: $i,X1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) @ ( n_ts @ ( den @ X0 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_pf) ).
thf(f403,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] : ( moref @ ( n_pf @ X0 @ X1 ) @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz60) ).
thf(f404,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] : ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz60a) ).
thf(f405,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] : ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f404]) ).
thf(f434,plain,
( n_pf
= ( ^ [Y0: $i,Y1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f397]) ).
thf(f505,plain,
( first1
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_1t ) ) ),
inference(fool_elimination,[],[f342]) ).
thf(f531,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] : ( lessf @ X1 @ ( n_pf @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f405]) ).
thf(f532,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] : ( lessf @ Y0 @ ( n_pf @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f531]) ).
thf(f683,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ frac )
@ ^ [X3: $i] : ( moref @ ( n_pf @ X1 @ X3 ) @ X1 ) ) ),
inference(rectify,[],[f403]) ).
thf(f684,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] : ( moref @ ( n_pf @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(fool_elimination,[],[f683]) ).
thf(f744,plain,
( moref
= ( ^ [Y0: $i,Y1: $i] : ( d_29_ii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f365]) ).
thf(f771,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f787,plain,
( lessf
= ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f366]) ).
thf(f837,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f205]) ).
thf(f850,plain,
( diffprop
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f203]) ).
thf(f865,plain,
( second1
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_2t ) ) ),
inference(fool_elimination,[],[f343]) ).
thf(f1040,plain,
( pair1
= ( ^ [X0: $i,X1: $i,X2: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [X3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ X3 @ n_1t ) @ X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f341]) ).
thf(f1041,plain,
( pair1
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ Y0 @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f1040]) ).
thf(f1077,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] : ( lessf @ Y0 @ ( n_pf @ Y0 @ Y1 ) ) ) ) ),
inference(flattening,[],[f532]) ).
thf(f1100,plain,
( n_pf
= ( ^ [Y0: $i,Y1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f434]) ).
thf(f1103,plain,
( diffprop
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f850]) ).
thf(f1105,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f837]) ).
thf(f1113,plain,
( lessf
= ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f787]) ).
thf(f1165,plain,
( pair1
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f1041]) ).
thf(f1204,plain,
( moref
= ( ^ [Y0: $i,Y1: $i] : ( d_29_ii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f744]) ).
thf(f1206,plain,
( n_some
= ( l_some @ nat ) ),
inference(cnf_transformation,[],[f160]) ).
thf(f1208,plain,
( first1
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_1t ) ) ),
inference(cnf_transformation,[],[f505]) ).
thf(f1211,plain,
( num
= ( first1 @ nat ) ),
inference(cnf_transformation,[],[f355]) ).
thf(f1216,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f771]) ).
thf(f1219,plain,
( n_fr
= ( pair1 @ nat ) ),
inference(cnf_transformation,[],[f354]) ).
thf(f1264,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] : ( lessf @ Y0 @ ( n_pf @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f1077]) ).
thf(f1274,plain,
( second1
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_2t ) ) ),
inference(cnf_transformation,[],[f865]) ).
thf(f1288,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] : ( moref @ ( n_pf @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f684]) ).
thf(f1290,plain,
( den
= ( second1 @ nat ) ),
inference(cnf_transformation,[],[f356]) ).
thf(f1310,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] :
( l_some @ nat
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( n_is @ Y2 @ ( n_pl @ Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f1105,f1206,f1103]) ).
thf(f1311,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] :
( l_some @ nat
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( n_is @ Y2 @ ( n_pl @ Y3 @ Y4 ) )
@ Y1
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f1216,f1206,f1103]) ).
thf(f1320,plain,
( num
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_1t )
@ nat ) ),
inference(definition_unfolding,[],[f1211,f1208]) ).
thf(f1321,plain,
( den
= ( ^ [Y0: $i,Y1: $i] : ( ap @ Y1 @ n_2t )
@ nat ) ),
inference(definition_unfolding,[],[f1290,f1274]) ).
thf(f1322,plain,
( lessf
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( l_some @ nat
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( n_is @ Y4 @ ( n_pl @ Y5 @ Y6 ) )
@ Y3
@ Y2 ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y1 ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f1113,f1311,f1320,f1321,f1320,f1321]) ).
thf(f1326,plain,
( n_fr
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ Y0 @ Y1 @ Y2 ) )
@ nat ) ),
inference(definition_unfolding,[],[f1219,f1165]) ).
thf(f1327,plain,
( moref
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( l_some @ nat
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( n_is @ Y4 @ ( n_pl @ Y5 @ Y6 ) )
@ Y2
@ Y3 ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y1 ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f1204,f1310,f1320,f1321,f1320,f1321]) ).
thf(f1329,plain,
( n_pf
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y5: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y5 @ n_1t ) @ Y2 @ Y3 @ Y4 ) )
@ nat
@ ( n_pl
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y1 ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_1t )
@ nat
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y0 ) ) )
@ ( n_ts
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( ap @ Y3 @ n_2t )
@ nat
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f1100,f1326,f1320,f1321,f1320,f1321,f1321,f1321]) ).
thf(f1437,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i] :
( l_some @ nat
@ ( ^ [Y6: $i,Y7: $i,Y8: $i] : ( n_is @ Y6 @ ( n_pl @ Y7 @ Y8 ) )
@ Y5
@ Y4 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 ) ) )
@ Y0
@ ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i,Y6: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y7: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y7 @ n_1t ) @ Y4 @ Y5 @ Y6 ) )
@ nat
@ ( n_pl
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 ) ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) ) )
@ Y0
@ Y1 ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f1264,f1322,f1329]) ).
thf(f1457,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i] :
( l_some @ nat
@ ( ^ [Y6: $i,Y7: $i,Y8: $i] : ( n_is @ Y6 @ ( n_pl @ Y7 @ Y8 ) )
@ Y4
@ Y5 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 ) ) )
@ ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i,Y6: $i] :
( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y7: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y7 @ n_1t ) @ Y4 @ Y5 @ Y6 ) )
@ nat
@ ( n_pl
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_1t )
@ nat
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 ) ) )
@ ( n_ts
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y2 )
@ ( ^ [Y4: $i,Y5: $i] : ( ap @ Y5 @ n_2t )
@ nat
@ Y3 ) ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f1288,f1327,f1329]) ).
thf(f1565,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( l_some @ nat
@ ^ [Y2: $i] :
( n_is
@ ( n_ts
@ ( ap
@ ( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ nat @ ( n_pl @ ( n_ts @ ( ap @ Y0 @ n_1t ) @ ( ap @ Y1 @ n_2t ) ) @ ( n_ts @ ( ap @ Y1 @ n_1t ) @ ( ap @ Y0 @ n_2t ) ) ) @ ( n_ts @ ( ap @ Y0 @ n_2t ) @ ( ap @ Y1 @ n_2t ) ) ) )
@ n_1t )
@ ( ap @ Y0 @ n_2t ) )
@ ( n_pl
@ ( n_ts @ ( ap @ Y0 @ n_1t )
@ ( ap
@ ( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ nat @ ( n_pl @ ( n_ts @ ( ap @ Y0 @ n_1t ) @ ( ap @ Y1 @ n_2t ) ) @ ( n_ts @ ( ap @ Y1 @ n_1t ) @ ( ap @ Y0 @ n_2t ) ) ) @ ( n_ts @ ( ap @ Y0 @ n_2t ) @ ( ap @ Y1 @ n_2t ) ) ) )
@ n_2t ) )
@ Y2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1457]) ).
thf(f1610,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ frac )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ frac )
@ ^ [Y1: $i] :
( l_some @ nat
@ ^ [Y2: $i] :
( n_is
@ ( n_ts
@ ( ap
@ ( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ nat @ ( n_pl @ ( n_ts @ ( ap @ Y0 @ n_1t ) @ ( ap @ Y1 @ n_2t ) ) @ ( n_ts @ ( ap @ Y1 @ n_1t ) @ ( ap @ Y0 @ n_2t ) ) ) @ ( n_ts @ ( ap @ Y0 @ n_2t ) @ ( ap @ Y1 @ n_2t ) ) ) )
@ n_1t )
@ ( ap @ Y0 @ n_2t ) )
@ ( n_pl
@ ( n_ts @ ( ap @ Y0 @ n_1t )
@ ( ap
@ ( d_Sigma @ ( d_1to @ n_2 )
@ ^ [Y3: $i] : ( ite @ ( e_is @ ( d_1to @ n_2 ) @ Y3 @ n_1t ) @ nat @ ( n_pl @ ( n_ts @ ( ap @ Y0 @ n_1t ) @ ( ap @ Y1 @ n_2t ) ) @ ( n_ts @ ( ap @ Y1 @ n_1t ) @ ( ap @ Y0 @ n_2t ) ) ) @ ( n_ts @ ( ap @ Y0 @ n_2t ) @ ( ap @ Y1 @ n_2t ) ) ) )
@ n_2t ) )
@ Y2 ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f1437]) ).
thf(f1650,plain,
$false,
inference(forward_subsumption_resolution,[],[f1565,f1610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM749^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 12:50:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.31 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
% 0.92/0.50 % (709383)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.92/0.50 % (709389)lrs+10_16_si=on:nwc=1.5:random_seed=4204098571:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.92/0.50 % (709390)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1147797863:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.92/0.50 % (709391)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=350794646: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)
% 0.92/0.50 % (709388)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2557827003:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.92/0.50 % (709390)Instruction limit reached!
% 0.92/0.50 % (709390)------------------------------
% 0.92/0.50 % (709390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.50 % (709390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.50 % (709390)CaDiCaL version: 2.1.3
% 0.92/0.50 % (709390)Termination reason: Instruction limit
% 0.92/0.50 % (709390)Termination phase: shuffling
% 0.92/0.50 % (709390)Time elapsed: 0.002 s
% 0.92/0.50 % (709390)Peak memory usage: 10 MB
% 0.92/0.50 % (709390)Instructions burned: 4 (million)
% 0.92/0.50 % (709394)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.92/0.50 % (709394)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
% 0.92/0.50 % (709394)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=121317038:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.92/0.50 % (709389)Instruction limit reached!
% 0.92/0.50 % (709389)------------------------------
% 0.92/0.50 % (709389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.50 % (709389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.50 % (709389)CaDiCaL version: 2.1.3
% 0.92/0.50 % (709389)Termination reason: Instruction limit
% 0.92/0.50 % (709389)Termination phase: shuffling
% 0.92/0.50 % (709389)Time elapsed: 0.009 s
% 0.92/0.50 % (709389)Peak memory usage: 10 MB
% 0.92/0.50 % (709389)Instructions burned: 20 (million)
% 0.92/0.50 % (709392)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=993237513:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.92/0.50 % (709393)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1936151833:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.92/0.50 % (709399)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=604636300:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.92/0.50 % (709401)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1133356494:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.92/0.50 % (709399)Instruction limit reached!
% 0.92/0.50 % (709399)------------------------------
% 0.92/0.50 % (709399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.50 % (709399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.50 % (709399)CaDiCaL version: 2.1.3
% 0.92/0.50 % (709399)Termination reason: Instruction limit
% 0.92/0.50 % (709399)Termination phase: shuffling
% 0.92/0.50 % (709399)Time elapsed: 0.003 s
% 0.92/0.50 % (709399)Peak memory usage: 10 MB
% 0.92/0.50 % (709399)Instructions burned: 3 (million)
% 0.92/0.50 % (709401)Instruction limit reached!
% 0.92/0.50 % (709401)------------------------------
% 0.92/0.50 % (709401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.50 % (709401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.50 % (709401)CaDiCaL version: 2.1.3
% 0.92/0.50 % (709401)Termination reason: Instruction limit
% 0.92/0.50 % (709401)Termination phase: shuffling
% 0.92/0.50 % (709401)Time elapsed: 0.003 s
% 0.92/0.50 % (709401)Peak memory usage: 10 MB
% 0.92/0.50 % (709401)Instructions burned: 5 (million)
% 0.92/0.50 % (709392)Instruction limit reached!
% 0.92/0.50 % (709392)------------------------------
% 0.92/0.56 % (709392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.56 % (709392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.56 % (709392)CaDiCaL version: 2.1.3
% 0.92/0.56 % (709392)Termination reason: Instruction limit
% 0.92/0.56 % (709392)Termination phase: shuffling
% 0.92/0.56 % (709392)Time elapsed: 0.023 s
% 0.92/0.56 % (709392)Peak memory usage: 11 MB
% 0.92/0.56 % (709392)Instructions burned: 24 (million)
% 0.92/0.56 % (709406)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.56 % (709407)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4022050873:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.92/0.56 % (709388)Instruction limit reached!
% 0.92/0.56 % (709388)------------------------------
% 0.92/0.56 % (709388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.56 % (709388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.56 % (709388)CaDiCaL version: 2.1.3
% 0.92/0.56 % (709388)Termination reason: Instruction limit
% 0.92/0.56 % (709388)Termination phase: SInE selection
% 0.92/0.56 % (709388)Time elapsed: 0.050 s
% 0.92/0.56 % (709388)Peak memory usage: 11 MB
% 0.92/0.56 % (709388)Instructions burned: 87 (million)
% 0.92/0.56 % (709406)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1680790040:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.92/0.56 % (709406)Instruction limit reached!
% 0.92/0.56 % (709406)------------------------------
% 0.92/0.56 % (709406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.56 % (709406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.56 % (709406)CaDiCaL version: 2.1.3
% 0.92/0.56 % (709407)Instruction limit reached!
% 0.92/0.56 % (709407)------------------------------
% 0.92/0.56 % (709407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.56 % (709407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.56 % (709406)Termination reason: Instruction limit
% 0.92/0.56 % (709406)Termination phase: shuffling
% 0.92/0.56 % (709406)Time elapsed: 0.005 s
% 0.92/0.56 % (709407)CaDiCaL version: 2.1.3
% 0.92/0.56 % (709406)Peak memory usage: 10 MB
% 0.92/0.56 % (709406)Instructions burned: 9 (million)
% 0.92/0.56 % (709407)Termination reason: Instruction limit
% 0.92/0.56 % (709407)Termination phase: shuffling
% 0.92/0.56 % (709407)Time elapsed: 0.006 s
% 0.92/0.56 % (709407)Peak memory usage: 10 MB
% 0.92/0.56 % (709407)Instructions burned: 14 (million)
% 0.92/0.56 % (709408)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
% 0.92/0.56 % (709408)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.56 % (709393)Instruction limit reached!
% 0.92/0.56 % (709393)------------------------------
% 0.92/0.56 % (709393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.56 % (709393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.56 % (709393)CaDiCaL version: 2.1.3
% 0.92/0.56 % (709393)Termination reason: Instruction limit
% 0.92/0.56 % (709393)Termination phase: Property scanning
% 0.92/0.56 % (709393)Time elapsed: 0.043 s
% 0.92/0.56 % (709393)Peak memory usage: 11 MB
% 0.92/0.56 % (709393)Instructions burned: 76 (million)
% 0.92/0.56 % (709408)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1444093072:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.92/0.56 % (709413)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.92/0.56 % (709414)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=627611246:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.92/0.56 % (709411)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=1302563125:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.51/0.60 % (709413)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=3153481521:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.51/0.60 % (709412)lrs+10_1_si=on:cs=on:random_seed=3268342714:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.51/0.60 % (709413)Instruction limit reached!
% 1.51/0.60 % (709413)------------------------------
% 1.51/0.60 % (709413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709413)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709413)Termination reason: Instruction limit
% 1.51/0.60 % (709413)Termination phase: shuffling
% 1.51/0.60 % (709413)Time elapsed: 0.002 s
% 1.51/0.60 % (709413)Peak memory usage: 10 MB
% 1.51/0.60 % (709413)Instructions burned: 3 (million)
% 1.51/0.60 % (709408)Instruction limit reached!
% 1.51/0.60 % (709408)------------------------------
% 1.51/0.60 % (709408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709408)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709408)Termination reason: Instruction limit
% 1.51/0.60 % (709408)Termination phase: shuffling
% 1.51/0.60 % (709408)Time elapsed: 0.025 s
% 1.51/0.60 % (709408)Peak memory usage: 11 MB
% 1.51/0.60 % (709408)Instructions burned: 28 (million)
% 1.51/0.60 % (709412)Instruction limit reached!
% 1.51/0.60 % (709412)------------------------------
% 1.51/0.60 % (709412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709412)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709412)Termination reason: Instruction limit
% 1.51/0.60 % (709412)Termination phase: shuffling
% 1.51/0.60 % (709412)Time elapsed: 0.008 s
% 1.51/0.60 % (709412)Peak memory usage: 10 MB
% 1.51/0.60 % (709412)Instructions burned: 9 (million)
% 1.51/0.60 % (709414)Instruction limit reached!
% 1.51/0.60 % (709414)------------------------------
% 1.51/0.60 % (709414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709414)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709414)Termination reason: Instruction limit
% 1.51/0.60 % (709414)Termination phase: shuffling
% 1.51/0.60 % (709414)Time elapsed: 0.024 s
% 1.51/0.60 % (709414)Peak memory usage: 11 MB
% 1.51/0.60 % (709414)Instructions burned: 39 (million)
% 1.51/0.60 % (709394)Instruction limit reached!
% 1.51/0.60 % (709394)------------------------------
% 1.51/0.60 % (709394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709394)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709394)Termination reason: Instruction limit
% 1.51/0.60 % (709394)Termination phase: Function definition elimination
% 1.51/0.60 % (709394)Time elapsed: 0.110 s
% 1.51/0.60 % (709394)Peak memory usage: 12 MB
% 1.51/0.60 % (709394)Instructions burned: 157 (million)
% 1.51/0.60 % (709420)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2558708105:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.51/0.60 % (709421)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4215022499:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.51/0.60 % (709411)Instruction limit reached!
% 1.51/0.60 % (709411)------------------------------
% 1.51/0.60 % (709411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.60 % (709411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.60 % (709411)CaDiCaL version: 2.1.3
% 1.51/0.60 % (709411)Termination reason: Instruction limit
% 1.51/0.60 % (709411)Termination phase: Property scanning
% 1.51/0.60 % (709411)Time elapsed: 0.044 s
% 1.51/0.60 % (709411)Peak memory usage: 11 MB
% 1.51/0.60 % (709411)Instructions burned: 88 (million)
% 1.51/0.60 % (709422)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3644201769:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.60 % (709423)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1771862434:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.87/0.64 % (709422)Instruction limit reached!
% 1.87/0.64 % (709422)------------------------------
% 1.87/0.64 % (709422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709422)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709422)Termination reason: Instruction limit
% 1.87/0.64 % (709422)Termination phase: shuffling
% 1.87/0.64 % (709422)Time elapsed: 0.006 s
% 1.87/0.64 % (709422)Peak memory usage: 10 MB
% 1.87/0.64 % (709422)Instructions burned: 14 (million)
% 1.87/0.64 % (709425)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3214621250:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.87/0.64 % (709421)Instruction limit reached!
% 1.87/0.64 % (709421)------------------------------
% 1.87/0.64 % (709421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709421)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709421)Termination reason: Instruction limit
% 1.87/0.64 % (709421)Termination phase: shuffling
% 1.87/0.64 % (709421)Time elapsed: 0.018 s
% 1.87/0.64 % (709421)Peak memory usage: 10 MB
% 1.87/0.64 % (709421)Instructions burned: 27 (million)
% 1.87/0.64 % (709425)Instruction limit reached!
% 1.87/0.64 % (709425)------------------------------
% 1.87/0.64 % (709425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709425)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709425)Termination reason: Instruction limit
% 1.87/0.64 % (709425)Termination phase: shuffling
% 1.87/0.64 % (709425)Time elapsed: 0.010 s
% 1.87/0.64 % (709425)Peak memory usage: 10 MB
% 1.87/0.64 % (709425)Instructions burned: 14 (million)
% 1.87/0.64 % (709428)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2445172837: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)
% 1.87/0.64 % (709428)Instruction limit reached!
% 1.87/0.64 % (709428)------------------------------
% 1.87/0.64 % (709428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709428)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709428)Termination reason: Instruction limit
% 1.87/0.64 % (709428)Termination phase: shuffling
% 1.87/0.64 % (709428)Time elapsed: 0.003 s
% 1.87/0.64 % (709428)Peak memory usage: 10 MB
% 1.87/0.64 % (709428)Instructions burned: 3 (million)
% 1.87/0.64 % (709430)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2838725909:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.87/0.64 % (709432)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2497219036:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.87/0.64 % (709430)Instruction limit reached!
% 1.87/0.64 % (709430)------------------------------
% 1.87/0.64 % (709430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709430)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709430)Termination reason: Instruction limit
% 1.87/0.64 % (709430)Termination phase: shuffling
% 1.87/0.64 % (709430)Time elapsed: 0.023 s
% 1.87/0.64 % (709430)Peak memory usage: 10 MB
% 1.87/0.64 % (709430)Instructions burned: 26 (million)
% 1.87/0.64 % (709436)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
% 1.87/0.64 % (709436)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.87/0.64 % (709433)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=753860470:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.87/0.64 % (709436)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=244477817:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.87/0.64 % (709420)Refutation not found, incomplete strategy
% 1.87/0.64 % (709420)------------------------------
% 1.87/0.64 % (709420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709420)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709420)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.64 % (709420)Time elapsed: 0.071 s
% 1.87/0.64 % (709420)Peak memory usage: 13 MB
% 1.87/0.64 % (709420)Instructions burned: 107 (million)
% 1.87/0.64 % (709420)------------------------------
% 1.87/0.64 % (709420)------------------------------
% 1.87/0.64 % (709432)Instruction limit reached!
% 1.87/0.64 % (709432)------------------------------
% 1.87/0.64 % (709432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709432)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709432)Termination reason: Instruction limit
% 1.87/0.64 % (709432)Termination phase: shuffling
% 1.87/0.64 % (709432)Time elapsed: 0.019 s
% 1.87/0.64 % (709432)Peak memory usage: 10 MB
% 1.87/0.64 % (709432)Instructions burned: 24 (million)
% 1.87/0.64 % (709436)Instruction limit reached!
% 1.87/0.64 % (709436)------------------------------
% 1.87/0.64 % (709436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709436)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709436)Termination reason: Instruction limit
% 1.87/0.64 % (709436)Termination phase: shuffling
% 1.87/0.64 % (709436)Time elapsed: 0.010 s
% 1.87/0.64 % (709436)Peak memory usage: 10 MB
% 1.87/0.64 % (709436)Instructions burned: 15 (million)
% 1.87/0.64 % (709438)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.87/0.64 % (709438)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=3330696360:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.87/0.64 % (709442)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2018079709:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.87/0.64 % (709443)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1291369128:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.87/0.64 % (709433)Instruction limit reached!
% 1.87/0.64 % (709433)------------------------------
% 1.87/0.64 % (709433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709433)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709433)Termination reason: Instruction limit
% 1.87/0.64 % (709433)Termination phase: Property scanning
% 1.87/0.64 % (709433)Time elapsed: 0.038 s
% 1.87/0.64 % (709433)Peak memory usage: 11 MB
% 1.87/0.64 % (709433)Instructions burned: 62 (million)
% 1.87/0.64 % (709438)Instruction limit reached!
% 1.87/0.64 % (709438)------------------------------
% 1.87/0.64 % (709438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709438)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709438)Termination reason: Instruction limit
% 1.87/0.64 % (709438)Termination phase: shuffling
% 1.87/0.64 % (709438)Time elapsed: 0.007 s
% 1.87/0.64 % (709438)Peak memory usage: 10 MB
% 1.87/0.64 % (709438)Instructions burned: 8 (million)
% 1.87/0.64 % (709442)Instruction limit reached!
% 1.87/0.64 % (709442)------------------------------
% 1.87/0.64 % (709442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709442)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709442)Termination reason: Instruction limit
% 1.87/0.64 % (709442)Termination phase: shuffling
% 1.87/0.64 % (709442)Time elapsed: 0.004 s
% 1.87/0.64 % (709442)Peak memory usage: 10 MB
% 1.87/0.64 % (709442)Instructions burned: 8 (million)
% 1.87/0.64 % (709441)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=2950664180:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.87/0.64 % (709443)Instruction limit reached!
% 1.87/0.64 % (709443)------------------------------
% 1.87/0.64 % (709443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709443)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709443)Termination reason: Instruction limit
% 1.87/0.64 % (709443)Termination phase: shuffling
% 1.87/0.64 % (709443)Time elapsed: 0.019 s
% 1.87/0.64 % (709443)Peak memory usage: 10 MB
% 1.87/0.64 % (709443)Instructions burned: 23 (million)
% 1.87/0.64 % (709449)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4188706319:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.87/0.64 % (709441)Instruction limit reached!
% 1.87/0.64 % (709441)------------------------------
% 1.87/0.64 % (709441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709441)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709441)Termination reason: Instruction limit
% 1.87/0.64 % (709441)Termination phase: shuffling
% 1.87/0.64 % (709441)Time elapsed: 0.014 s
% 1.87/0.64 % (709441)Peak memory usage: 11 MB
% 1.87/0.64 % (709441)Instructions burned: 33 (million)
% 1.87/0.64 % (709423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-709383-709423"...
% 1.87/0.64 % (709453)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2370152122:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.87/0.64 % (709423)...printing done.
% 1.87/0.64 % (709448)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2049442783:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.87/0.64 % (709423)Refutation found. Thanks to Tanya!
% 1.87/0.64 % SZS status Theorem for theBenchmark
% 1.87/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.64 % (709423)------------------------------
% 1.87/0.64 % (709423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (709423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (709423)CaDiCaL version: 2.1.3
% 1.87/0.64 % (709423)Termination reason: Refutation
% 1.87/0.64 % (709423)Time elapsed: 0.129 s
% 1.87/0.64 % (709423)Peak memory usage: 14 MB
% 1.87/0.64 % (709423)Instructions burned: 314 (million)
% 1.87/0.64 % (709383)Success in time 0.321 s
% 1.87/0.64 % Vampire exiting
%------------------------------------------------------------------------------