%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM708^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:18:39 AM UTC 2026
% Result : Theorem 1.39s 0.54s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 203 ( 51 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 217 ( 8 ~; 3 |; 0 &; 186 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 184 ( 180 usr; 7 con; 0-7 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 77 ^; 6 !; 0 ?; 83 :)
% 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_144,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_146,type,
vIMP: $o > $o > $o ).
thf(func_def_147,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
vAND: $o > $o > $o ).
thf(func_def_152,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_153,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_155,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_156,type,
vOR: $o > $o > $o ).
thf(func_def_157,type,
vNOT: $o > $o ).
thf(func_def_158,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_159,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_160,type,
sK0: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_161,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK3: $i > $i ).
thf(func_def_164,type,
sK4: $i > $i > $i > $i ).
thf(func_def_165,type,
sK5: $i > $i > $i ).
thf(func_def_166,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_167,type,
sK7: $i > $i > $o ).
thf(func_def_168,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_169,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_170,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_172,type,
sK12: $i > $i > $o ).
thf(func_def_173,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_174,type,
sK14: $i > $i > $i ).
thf(func_def_175,type,
sK15: $i > $i > $o ).
thf(func_def_176,type,
sK16: $i > $i > $o ).
thf(func_def_177,type,
sK17: $i > $i > $o ).
thf(func_def_178,type,
sK18: $i > $i > $i > $i ).
thf(func_def_179,type,
sK19: $i > $i > $o ).
thf(func_def_180,type,
sK20: ( $i > $o ) > $i ).
thf(func_def_181,type,
sK21: ( $i > $o ) > $i ).
thf(func_def_182,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_183,type,
sK23: $i > $i > $o ).
thf(func_def_184,type,
sK24: ( $i > $o ) > $i ).
thf(f1,axiom,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f91,axiom,
( ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) )
= e_is ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f293,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( n_ts @ n_1 @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28c) ).
thf(f297,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ X0 @ ( n_ts @ n_1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28g) ).
thf(f298,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ X0 @ ( n_ts @ n_1 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f297]) ).
thf(f373,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f374,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f373]) ).
thf(f479,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_ts @ n_1 @ X1 ) @ X1 ) ),
inference(rectify,[],[f293]) ).
thf(f480,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_ts @ n_1 @ Y0 ) @ Y0 ) ) ),
inference(fool_elimination,[],[f479]) ).
thf(f509,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f689,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f691,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ X1 @ ( n_ts @ n_1 @ X1 ) ) ),
inference(rectify,[],[f298]) ).
thf(f692,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ n_1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f691]) ).
thf(f795,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ n_1 @ Y0 ) ) ) ),
inference(flattening,[],[f692]) ).
thf(f891,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_ts @ n_1 @ Y0 ) @ Y0 ) ) ),
inference(cnf_transformation,[],[f480]) ).
thf(f949,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f374]) ).
thf(f953,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f689]) ).
thf(f968,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ Y0 @ ( n_ts @ n_1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f795]) ).
thf(f999,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f1008,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f509]) ).
thf(f1045,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f999,f953]) ).
thf(f1052,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,[],[f949,f1008]) ).
thf(f1078,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( n_ts @ n_1 @ Y0 )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f891,f1052,f1045]) ).
thf(f1139,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
@ Y0
@ ( n_ts @ n_1 @ Y0 ) ) )
!= $true ),
inference(definition_unfolding,[],[f968,f1052,f1045]) ).
thf(f1365,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( Y0
= ( n_ts @ n_1 @ Y0 ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f1139]) ).
thf(f1366,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( Y0
= ( n_ts @ n_1 @ Y0 ) ) )
@ sK11 )
= $false ),
inference(sigma_proxy_clausification,[],[f1365]) ).
thf(f1367,plain,
( $false
= ( ( in @ sK11 @ nat )
=> ( sK11
= ( n_ts @ n_1 @ sK11 ) ) ) ),
inference(beta-eta_normalization,[],[f1366]) ).
thf(f1368,plain,
( $false
= ( sK11
= ( n_ts @ n_1 @ sK11 ) ) ),
inference(imp_proxy_clausification,[],[f1367]) ).
thf(f1369,plain,
( $true
= ( in @ sK11 @ nat ) ),
inference(imp_proxy_clausification,[],[f1367]) ).
thf(f1370,plain,
( ( n_ts @ n_1 @ sK11 )
!= sK11 ),
inference(equality_proxy_clausification,[],[f1368]) ).
thf(f2254,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_ts @ n_1 @ Y0 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1078]) ).
thf(f2255,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_ts @ n_1 @ Y0 )
= Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f2254]) ).
thf(f2256,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( ( n_ts @ n_1 @ X1 )
= X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f2255]) ).
thf(f2257,plain,
! [X1: $i] :
( ( $true
= ( ( n_ts @ n_1 @ X1 )
= X1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2256]) ).
thf(f2258,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( n_ts @ n_1 @ X1 )
= X1 ) ),
inference(equality_proxy_clausification,[],[f2257]) ).
thf(f2339,plain,
( ( $false = $true )
| ( ( n_ts @ n_1 @ sK11 )
= sK11 ) ),
inference(superposition,[],[f1369,f2258]) ).
thf(f2341,plain,
( ( n_ts @ n_1 @ sK11 )
= sK11 ),
inference(trivial_inequality_removal,[],[f2339]) ).
thf(f2343,plain,
$false,
inference(forward_subsumption_resolution,[],[f2341,f1370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM708^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n003.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 12:45:14 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.43 % (2450900)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.43 % (2450907)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1208353033:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.43 % (2450907)Instruction limit reached!
% 0.54/0.43 % (2450907)------------------------------
% 0.54/0.43 % (2450907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2450907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2450907)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2450907)Termination reason: Instruction limit
% 0.54/0.43 % (2450907)Termination phase: shuffling
% 0.54/0.43 % (2450907)Time elapsed: 0.001 s
% 0.54/0.43 % (2450907)Peak memory usage: 10 MB
% 0.54/0.43 % (2450907)Instructions burned: 4 (million)
% 0.54/0.43 % (2450911)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.43 % (2450911)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
% 0.54/0.43 % (2450906)lrs+10_16_si=on:nwc=1.5:random_seed=1602121298:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.43 % (2450909)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2476608305:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.43 % (2450905)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=966268255:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.43 % (2450908)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=1751062094: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)
% 0.54/0.43 % (2450911)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=1381816580:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.43 % (2450913)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4144363597:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.43 % (2450913)Instruction limit reached!
% 0.54/0.43 % (2450913)------------------------------
% 0.54/0.43 % (2450913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2450913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2450913)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2450913)Termination reason: Instruction limit
% 0.54/0.43 % (2450913)Termination phase: shuffling
% 0.54/0.43 % (2450913)Time elapsed: 0.001 s
% 0.54/0.43 % (2450913)Peak memory usage: 10 MB
% 0.54/0.43 % (2450913)Instructions burned: 4 (million)
% 0.54/0.43 % (2450906)Instruction limit reached!
% 0.54/0.43 % (2450906)------------------------------
% 0.54/0.43 % (2450906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2450906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2450906)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2450906)Termination reason: Instruction limit
% 0.54/0.43 % (2450906)Termination phase: shuffling
% 0.54/0.43 % (2450906)Time elapsed: 0.008 s
% 0.54/0.43 % (2450906)Peak memory usage: 10 MB
% 0.54/0.43 % (2450906)Instructions burned: 18 (million)
% 0.54/0.43 % (2450909)Instruction limit reached!
% 0.54/0.43 % (2450909)------------------------------
% 0.54/0.43 % (2450909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2450909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2450909)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2450909)Termination reason: Instruction limit
% 0.54/0.43 % (2450909)Termination phase: shuffling
% 0.54/0.43 % (2450909)Time elapsed: 0.012 s
% 0.54/0.43 % (2450909)Peak memory usage: 10 MB
% 0.54/0.43 % (2450909)Instructions burned: 26 (million)
% 0.54/0.43 % (2450910)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=339682298:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.43 % (2450920)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1290427569:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.54/0.46 % (2450920)Instruction limit reached!
% 0.54/0.46 % (2450920)------------------------------
% 0.54/0.46 % (2450920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.46 % (2450920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.46 % (2450920)CaDiCaL version: 2.1.3
% 0.54/0.46 % (2450920)Termination reason: Instruction limit
% 0.54/0.46 % (2450920)Termination phase: shuffling
% 0.54/0.46 % (2450920)Time elapsed: 0.002 s
% 0.54/0.46 % (2450920)Peak memory usage: 10 MB
% 0.54/0.46 % (2450920)Instructions burned: 11 (million)
% 0.54/0.46 % (2450921)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.46 % (2450921)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=605843047:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.54/0.46 % (2450925)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
% 0.54/0.46 % (2450925)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.46 % (2450922)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=843299542:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.54/0.46 % (2450925)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=657269346:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.54/0.46 % (2450921)Instruction limit reached!
% 0.54/0.46 % (2450921)------------------------------
% 0.54/0.46 % (2450921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.46 % (2450921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.46 % (2450921)CaDiCaL version: 2.1.3
% 0.54/0.46 % (2450921)Termination reason: Instruction limit
% 0.54/0.46 % (2450921)Termination phase: shuffling
% 0.54/0.46 % (2450921)Time elapsed: 0.004 s
% 0.54/0.46 % (2450921)Peak memory usage: 10 MB
% 0.54/0.46 % (2450921)Instructions burned: 9 (million)
% 0.54/0.46 % (2450922)Instruction limit reached!
% 0.54/0.46 % (2450922)------------------------------
% 0.54/0.46 % (2450922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.46 % (2450922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.46 % (2450922)CaDiCaL version: 2.1.3
% 0.54/0.46 % (2450922)Termination reason: Instruction limit
% 0.54/0.46 % (2450922)Termination phase: shuffling
% 0.54/0.46 % (2450922)Time elapsed: 0.006 s
% 0.54/0.46 % (2450922)Peak memory usage: 10 MB
% 0.54/0.46 % (2450922)Instructions burned: 13 (million)
% 0.54/0.46 % (2450925)Instruction limit reached!
% 0.54/0.46 % (2450925)------------------------------
% 0.54/0.46 % (2450925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.46 % (2450925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.46 % (2450925)CaDiCaL version: 2.1.3
% 0.54/0.46 % (2450925)Termination reason: Instruction limit
% 0.54/0.46 % (2450925)Termination phase: Property scanning
% 0.54/0.46 % (2450925)Time elapsed: 0.007 s
% 0.54/0.46 % (2450925)Peak memory usage: 10 MB
% 0.54/0.46 % (2450925)Instructions burned: 31 (million)
% 0.54/0.46 % (2450905)Instruction limit reached!
% 0.54/0.46 % (2450905)------------------------------
% 0.54/0.46 % (2450905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.46 % (2450905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.46 % (2450905)CaDiCaL version: 2.1.3
% 0.54/0.46 % (2450905)Termination reason: Instruction limit
% 0.54/0.46 % (2450905)Termination phase: Function definition elimination
% 0.54/0.46 % (2450905)Time elapsed: 0.049 s
% 0.54/0.46 % (2450905)Peak memory usage: 11 MB
% 0.54/0.46 % (2450905)Instructions burned: 87 (million)
% 0.54/0.46 % (2450929)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=3518625069:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.54/0.46 % (2450931)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.54/0.49 % (2450930)lrs+10_1_si=on:cs=on:random_seed=465999555:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.54/0.49 % (2450931)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=3978810837:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.49 % (2450931)Instruction limit reached!
% 0.54/0.49 % (2450931)------------------------------
% 0.54/0.49 % (2450931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.49 % (2450931)CaDiCaL version: 2.1.3
% 0.54/0.49 % (2450931)Termination reason: Instruction limit
% 0.54/0.49 % (2450931)Termination phase: shuffling
% 0.54/0.49 % (2450931)Time elapsed: 0.002 s
% 0.54/0.49 % (2450931)Peak memory usage: 10 MB
% 0.54/0.49 % (2450931)Instructions burned: 4 (million)
% 0.54/0.49 % (2450930)Instruction limit reached!
% 0.54/0.49 % (2450930)------------------------------
% 0.54/0.49 % (2450930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.49 % (2450930)CaDiCaL version: 2.1.3
% 0.54/0.49 % (2450930)Termination reason: Instruction limit
% 0.54/0.49 % (2450930)Termination phase: shuffling
% 0.54/0.49 % (2450930)Time elapsed: 0.004 s
% 0.54/0.49 % (2450930)Peak memory usage: 10 MB
% 0.54/0.49 % (2450930)Instructions burned: 9 (million)
% 0.54/0.49 % (2450932)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2572665621:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.54/0.49 % (2450911)Instruction limit reached!
% 0.54/0.49 % (2450911)------------------------------
% 0.54/0.49 % (2450911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.49 % (2450911)CaDiCaL version: 2.1.3
% 0.54/0.49 % (2450911)Termination reason: Instruction limit
% 0.54/0.49 % (2450911)Termination phase: Function definition elimination
% 0.54/0.49 % (2450911)Time elapsed: 0.066 s
% 0.54/0.49 % (2450911)Peak memory usage: 12 MB
% 0.54/0.49 % (2450911)Instructions burned: 159 (million)
% 0.54/0.49 % (2450932)Instruction limit reached!
% 0.54/0.49 % (2450932)------------------------------
% 0.54/0.49 % (2450932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.49 % (2450932)CaDiCaL version: 2.1.3
% 0.54/0.49 % (2450932)Termination reason: Instruction limit
% 0.54/0.49 % (2450932)Termination phase: Property scanning
% 0.54/0.49 % (2450932)Time elapsed: 0.009 s
% 0.54/0.49 % (2450932)Peak memory usage: 11 MB
% 0.54/0.49 % (2450932)Instructions burned: 41 (million)
% 0.54/0.49 % (2450910)Instruction limit reached!
% 0.54/0.49 % (2450910)------------------------------
% 0.54/0.49 % (2450910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.49 % (2450910)CaDiCaL version: 2.1.3
% 0.54/0.49 % (2450910)Termination reason: Instruction limit
% 0.54/0.49 % (2450910)Termination phase: Property scanning
% 0.54/0.49 % (2450910)Time elapsed: 0.060 s
% 0.54/0.49 % (2450910)Peak memory usage: 11 MB
% 0.54/0.49 % (2450910)Instructions burned: 75 (million)
% 0.54/0.49 % (2450937)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2755005437:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.54/0.49 % (2450936)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4035938125:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.54/0.49 % (2450941)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3692771101:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.49 % (2450939)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4225253164:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.49 % (2450941)Instruction limit reached!
% 0.54/0.49 % (2450941)------------------------------
% 0.54/0.49 % (2450941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.49 % (2450941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450941)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450941)Termination reason: Instruction limit
% 1.39/0.54 % (2450941)Termination phase: shuffling
% 1.39/0.54 % (2450941)Time elapsed: 0.003 s
% 1.39/0.54 % (2450941)Peak memory usage: 10 MB
% 1.39/0.54 % (2450941)Instructions burned: 15 (million)
% 1.39/0.54 % (2450940)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2330131084:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.39/0.54 % (2450929)Instruction limit reached!
% 1.39/0.54 % (2450929)------------------------------
% 1.39/0.54 % (2450929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450929)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450929)Termination reason: Instruction limit
% 1.39/0.54 % (2450929)Termination phase: Function definition elimination
% 1.39/0.54 % (2450929)Time elapsed: 0.037 s
% 1.39/0.54 % (2450929)Peak memory usage: 11 MB
% 1.39/0.54 % (2450929)Instructions burned: 88 (million)
% 1.39/0.54 % (2450937)Instruction limit reached!
% 1.39/0.54 % (2450937)------------------------------
% 1.39/0.54 % (2450937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450937)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450937)Termination reason: Instruction limit
% 1.39/0.54 % (2450937)Termination phase: shuffling
% 1.39/0.54 % (2450937)Time elapsed: 0.012 s
% 1.39/0.54 % (2450937)Peak memory usage: 10 MB
% 1.39/0.54 % (2450937)Instructions burned: 27 (million)
% 1.39/0.54 % (2450939)Instruction limit reached!
% 1.39/0.54 % (2450939)------------------------------
% 1.39/0.54 % (2450939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450939)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450939)Termination reason: Instruction limit
% 1.39/0.54 % (2450939)Termination phase: shuffling
% 1.39/0.54 % (2450939)Time elapsed: 0.007 s
% 1.39/0.54 % (2450939)Peak memory usage: 10 MB
% 1.39/0.54 % (2450939)Instructions burned: 15 (million)
% 1.39/0.54 % (2450946)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=882707096: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)
% 1.39/0.54 % (2450946)Instruction limit reached!
% 1.39/0.54 % (2450946)------------------------------
% 1.39/0.54 % (2450946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450946)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450946)Termination reason: Instruction limit
% 1.39/0.54 % (2450946)Termination phase: shuffling
% 1.39/0.54 % (2450946)Time elapsed: 0.001 s
% 1.39/0.54 % (2450946)Peak memory usage: 10 MB
% 1.39/0.54 % (2450946)Instructions burned: 2 (million)
% 1.39/0.54 % (2450952)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
% 1.39/0.54 % (2450952)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.39/0.54 % (2450948)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1813149907:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.39/0.54 % (2450952)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=4249890348:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.39/0.54 % (2450950)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3962593230:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.39/0.54 % (2450952)Instruction limit reached!
% 1.39/0.54 % (2450952)------------------------------
% 1.39/0.54 % (2450952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450952)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450952)Termination reason: Instruction limit
% 1.39/0.54 % (2450952)Termination phase: shuffling
% 1.39/0.54 % (2450952)Time elapsed: 0.003 s
% 1.39/0.54 % (2450952)Peak memory usage: 10 MB
% 1.39/0.54 % (2450952)Instructions burned: 14 (million)
% 1.39/0.54 % (2450936)Refutation not found, incomplete strategy
% 1.39/0.54 % (2450936)------------------------------
% 1.39/0.54 % (2450936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450936)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450936)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.54 % (2450936)Time elapsed: 0.040 s
% 1.39/0.54 % (2450936)Peak memory usage: 13 MB
% 1.39/0.54 % (2450936)Instructions burned: 70 (million)
% 1.39/0.54 % (2450936)------------------------------
% 1.39/0.54 % (2450936)------------------------------
% 1.39/0.54 % (2450949)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3285787104:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.54 % (2450948)Instruction limit reached!
% 1.39/0.54 % (2450948)------------------------------
% 1.39/0.54 % (2450948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450948)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450948)Termination reason: Instruction limit
% 1.39/0.54 % (2450948)Termination phase: shuffling
% 1.39/0.54 % (2450948)Time elapsed: 0.012 s
% 1.39/0.54 % (2450948)Peak memory usage: 10 MB
% 1.39/0.54 % (2450948)Instructions burned: 28 (million)
% 1.39/0.54 % (2450956)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.39/0.54 % (2450956)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=1161784660:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.39/0.54 % (2450956)Instruction limit reached!
% 1.39/0.54 % (2450956)------------------------------
% 1.39/0.54 % (2450956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450956)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450956)Termination reason: Instruction limit
% 1.39/0.54 % (2450956)Termination phase: shuffling
% 1.39/0.54 % (2450956)Time elapsed: 0.003 s
% 1.39/0.54 % (2450956)Peak memory usage: 10 MB
% 1.39/0.54 % (2450956)Instructions burned: 13 (million)
% 1.39/0.54 % (2450950)Instruction limit reached!
% 1.39/0.54 % (2450950)------------------------------
% 1.39/0.54 % (2450950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450950)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450950)Termination reason: Instruction limit
% 1.39/0.54 % (2450950)Termination phase: Property scanning
% 1.39/0.54 % (2450950)Time elapsed: 0.026 s
% 1.39/0.54 % (2450950)Peak memory usage: 11 MB
% 1.39/0.54 % (2450950)Instructions burned: 60 (million)
% 1.39/0.54 % (2450961)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1678348480:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.54 % (2450959)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=547457629:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.39/0.54 % (2450958)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=4263278468:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.39/0.54 % (2450949)Instruction limit reached!
% 1.39/0.54 % (2450949)------------------------------
% 1.39/0.54 % (2450949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450949)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450949)Termination reason: Instruction limit
% 1.39/0.54 % (2450949)Termination phase: shuffling
% 1.39/0.54 % (2450949)Time elapsed: 0.021 s
% 1.39/0.54 % (2450949)Peak memory usage: 10 MB
% 1.39/0.54 % (2450949)Instructions burned: 24 (million)
% 1.39/0.54 % (2450961)Instruction limit reached!
% 1.39/0.54 % (2450961)------------------------------
% 1.39/0.54 % (2450961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450961)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450961)Termination reason: Instruction limit
% 1.39/0.54 % (2450961)Termination phase: shuffling
% 1.39/0.54 % (2450961)Time elapsed: 0.005 s
% 1.39/0.54 % (2450961)Peak memory usage: 10 MB
% 1.39/0.54 % (2450961)Instructions burned: 23 (million)
% 1.39/0.54 % (2450959)Instruction limit reached!
% 1.39/0.54 % (2450959)------------------------------
% 1.39/0.54 % (2450959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450959)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450959)Termination reason: Instruction limit
% 1.39/0.54 % (2450959)Termination phase: shuffling
% 1.39/0.54 % (2450959)Time elapsed: 0.004 s
% 1.39/0.54 % (2450959)Peak memory usage: 10 MB
% 1.39/0.54 % (2450959)Instructions burned: 9 (million)
% 1.39/0.54 % (2450966)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2174908570:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.39/0.54 % (2450958)Instruction limit reached!
% 1.39/0.54 % (2450958)------------------------------
% 1.39/0.54 % (2450958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450958)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450958)Termination reason: Instruction limit
% 1.39/0.54 % (2450958)Termination phase: Property scanning
% 1.39/0.54 % (2450958)Time elapsed: 0.014 s
% 1.39/0.54 % (2450958)Peak memory usage: 10 MB
% 1.39/0.54 % (2450958)Instructions burned: 32 (million)
% 1.39/0.54 % (2450967)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3601908093:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.39/0.54 % (2450968)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=589331346:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.39/0.54 % (2450963)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2973053562:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.39/0.54 % (2450970)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1694758924:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.39/0.54 % (2450963)Instruction limit reached!
% 1.39/0.54 % (2450963)------------------------------
% 1.39/0.54 % (2450963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450963)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450963)Termination reason: Instruction limit
% 1.39/0.54 % (2450963)Termination phase: shuffling
% 1.39/0.54 % (2450963)Time elapsed: 0.017 s
% 1.39/0.54 % (2450963)Peak memory usage: 10 MB
% 1.39/0.54 % (2450963)Instructions burned: 21 (million)
% 1.39/0.54 % (2450970)Instruction limit reached!
% 1.39/0.54 % (2450970)------------------------------
% 1.39/0.54 % (2450970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.54 % (2450970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.54 % (2450970)CaDiCaL version: 2.1.3
% 1.39/0.54 % (2450970)Termination reason: Instruction limit
% 1.39/0.54 % (2450970)Termination phase: Property scanning
% 1.39/0.54 % (2450970)Time elapsed: 0.018 s
% 1.39/0.54 % (2450970)Peak memory usage: 10 MB
% 1.39/0.54 % (2450970)Instructions burned: 43 (million)
% 1.39/0.54 % (2450940) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2450900-2450940"...
% 1.39/0.54 % (2450940)...printing done.
% 1.39/0.54 % (2450940)Refutation found. Thanks to Tanya!
% 1.39/0.54 % SZS status Theorem for theBenchmark
% 1.39/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.55 % (2450940)------------------------------
% 1.39/0.55 % (2450940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.55 % (2450940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.55 % (2450940)CaDiCaL version: 2.1.3
% 1.39/0.55 % (2450940)Termination reason: Refutation
% 1.39/0.55 % (2450940)Time elapsed: 0.107 s
% 1.39/0.55 % (2450940)Peak memory usage: 14 MB
% 1.39/0.55 % (2450940)Instructions burned: 247 (million)
% 1.39/0.55 % (2450900)Success in time 0.251 s
% 1.39/0.55 % Vampire exiting
%------------------------------------------------------------------------------