%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM648^4 : 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 : 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 08:18:23 AM UTC 2026
% Result : Theorem 0.82s 0.39s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 55 unt; 0 typ; 0 def)
% Number of atoms : 760 ( 190 equ; 0 cnn)
% Maximal formula atoms : 11 ( 9 avg)
% Number of connectives : 949 ( 16 ~; 43 |; 0 &; 728 @)
% ( 0 <=>; 116 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 166 ( 162 usr; 9 con; 0-7 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 269 ( 235 ^; 34 !; 0 ?; 269 :)
% 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_129,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_134,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vIMP: $o > $o > $o ).
thf(func_def_136,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_138,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_139,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_141,type,
vAND: $o > $o > $o ).
thf(func_def_142,type,
vNOT: $o > $o ).
thf(func_def_143,type,
vOR: $o > $o > $o ).
thf(func_def_144,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
sK0: ( $i > $i ) > $i > ( $i > $i ) > $i ).
thf(func_def_146,type,
sK1: $i > $i ).
thf(func_def_147,type,
sK2: $i > $i > $i > $i ).
thf(func_def_148,type,
sK3: ( $i > $o ) > $i ).
thf(func_def_149,type,
sK4: ( $i > $o ) > $i ).
thf(func_def_150,type,
sK5: $i > $i > $o ).
thf(func_def_151,type,
sK6: $i > $i > $o ).
thf(func_def_152,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_153,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_154,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_159,type,
sK14: $i > $i > $o ).
thf(func_def_160,type,
sK15: ( $i > $o ) > $i ).
thf(func_def_161,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK17: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK18: $i > $i > $i > $i ).
thf(func_def_164,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_165,type,
sK20: $i > $i > $o ).
thf(func_def_166,type,
sK21: $i > $i > $o ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
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,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f94,axiom,
( amone
= ( ^ [X0: $i,X1: $i > $o] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ X0 )
@ ^ [X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_amone) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f202,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) )
=> ( n_is @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz8a) ).
thf(f204,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( amone @ nat
@ ^ [X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz8b) ).
thf(f205,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( amone @ nat
@ ^ [X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f204]) ).
thf(f218,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f219,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f218]) ).
thf(f257,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X5: $i] :
( ( n_is @ ( n_pl @ X1 @ X3 ) @ ( n_pl @ X1 @ X5 ) )
=> ( n_is @ X3 @ X5 ) ) ) ) ),
inference(rectify,[],[f202]) ).
thf(f258,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y0 @ Y2 ) )
=> ( n_is @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f257]) ).
thf(f259,plain,
( amone
= ( ^ [X0: $i,X1: $i > $o] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ^ [X3: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ X0 )
@ ^ [X5: $i] :
( ( X1 @ X3 )
=> ( ( X1 @ X5 )
=> ( e_is @ X0 @ X3 @ X5 ) ) ) ) ) ) ),
inference(rectify,[],[f94]) ).
thf(f260,plain,
( amone
= ( ^ [Y0: $i,Y1: $i > $o] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ Y0 )
@ ^ [Y3: $i] :
( ( Y1 @ Y2 )
=> ( ( Y1 @ Y3 )
=> ( e_is @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f259]) ).
thf(f430,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f479,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f513,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( amone @ nat
@ ^ [X4: $i] : ( n_is @ X1 @ ( n_pl @ X3 @ X4 ) ) ) ) ),
inference(rectify,[],[f205]) ).
thf(f514,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( amone @ nat
@ ^ [Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f513]) ).
thf(f526,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( amone @ nat
@ ^ [Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ) )
!= $true ),
inference(flattening,[],[f514]) ).
thf(f602,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( n_is @ ( n_pl @ Y0 @ Y1 ) @ ( n_pl @ Y0 @ Y2 ) )
=> ( n_is @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f258]) ).
thf(f605,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f609,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( amone @ nat
@ ^ [Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f526]) ).
thf(f614,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f219]) ).
thf(f617,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f479]) ).
thf(f634,plain,
( amone
= ( ^ [Y0: $i,Y1: $i > $o] :
( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ^ [Y2: $i] :
( all_of
@ ^ [Y3: $i] : ( in @ Y3 @ Y0 )
@ ^ [Y3: $i] :
( ( Y1 @ Y2 )
=> ( ( Y1 @ Y3 )
=> ( e_is @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f260]) ).
thf(f658,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f430]) ).
thf(f671,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,[],[f614,f617]) ).
thf(f681,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f605,f658]) ).
thf(f685,plain,
( amone
= ( ^ [Y0: $i,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ^ [Y2: $i] :
( ^ [Y3: $i > $o,Y4: $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ^ [Y6: $i,Y7: $i > $o] : ( Y7 @ Y6 )
@ Y5
@ Y3 )
=> ( Y4 @ Y5 ) ) )
@ ^ [Y3: $i] : ( in @ Y3 @ Y0 )
@ ^ [Y3: $i] :
( ( Y1 @ Y2 )
=> ( ( Y1 @ Y3 )
=> ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ Y0
@ Y2
@ Y3 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f634,f671,f671,f658]) ).
thf(f706,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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ nat )
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ ( n_pl @ Y0 @ Y1 )
@ ( n_pl @ Y0 @ Y2 ) )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y1
@ Y2 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f602,f671,f671,f671,f681,f681]) ).
thf(f707,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 > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ^ [Y7: $i,Y8: $i > $o] : ( Y8 @ Y7 )
@ Y6
@ Y4 )
=> ( Y5 @ Y6 ) ) )
@ ^ [Y4: $i] : ( in @ Y4 @ Y2 )
@ ^ [Y4: $i] :
( ^ [Y5: $i > $o,Y6: $i > $o] :
( !! @ $i
@ ^ [Y7: $i] :
( ( ^ [Y8: $i,Y9: $i > $o] : ( Y9 @ Y8 )
@ Y7
@ Y5 )
=> ( Y6 @ Y7 ) ) )
@ ^ [Y5: $i] : ( in @ Y5 @ Y2 )
@ ^ [Y5: $i] :
( ( Y3 @ Y4 )
=> ( ( Y3 @ Y5 )
=> ( ^ [Y6: $i,Y7: $i,Y8: $i] : ( Y7 = Y8 )
@ Y2
@ Y4
@ Y5 ) ) ) ) )
@ nat
@ ^ [Y2: $i] :
( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y0
@ ( n_pl @ Y1 @ Y2 ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f609,f671,f671,f685,f681]) ).
thf(f812,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> ( ( Y0
= ( n_pl @ Y1 @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f707]) ).
thf(f813,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> ( ( Y0
= ( n_pl @ Y1 @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ) )
@ sK10 )
= $false ),
inference(sigma_proxy_clausification,[],[f812]) ).
thf(f814,plain,
( ( ( in @ sK10 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( sK10
= ( n_pl @ Y0 @ Y1 ) )
=> ( ( sK10
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f813]) ).
thf(f815,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( sK10
= ( n_pl @ Y0 @ Y1 ) )
=> ( ( sK10
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f814]) ).
thf(f817,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( sK10
= ( n_pl @ Y0 @ Y1 ) )
=> ( ( sK10
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) )
@ sK11 )
= $false ),
inference(sigma_proxy_clausification,[],[f815]) ).
thf(f818,plain,
( ( ( in @ sK11 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f817]) ).
thf(f819,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f818]) ).
thf(f820,plain,
( ( in @ sK11 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f818]) ).
thf(f821,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) )
@ sK12 )
= $false ),
inference(sigma_proxy_clausification,[],[f819]) ).
thf(f822,plain,
( ( ( in @ sK12 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( sK12 = Y0 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f821]) ).
thf(f823,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( sK12 = Y0 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f822]) ).
thf(f824,plain,
( ( in @ sK12 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f822]) ).
thf(f825,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ Y0 ) )
=> ( sK12 = Y0 ) ) ) )
@ sK13 )
= $false ),
inference(sigma_proxy_clausification,[],[f823]) ).
thf(f826,plain,
( ( ( in @ sK13 @ nat )
=> ( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ sK13 ) )
=> ( sK12 = sK13 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f825]) ).
thf(f827,plain,
( ( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
=> ( ( sK10
= ( n_pl @ sK11 @ sK13 ) )
=> ( sK12 = sK13 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f826]) ).
thf(f828,plain,
( ( in @ sK13 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f826]) ).
thf(f829,plain,
( ( ( sK10
= ( n_pl @ sK11 @ sK13 ) )
=> ( sK12 = sK13 ) )
= $false ),
inference(imp_proxy_clausification,[],[f827]) ).
thf(f830,plain,
( ( sK10
= ( n_pl @ sK11 @ sK12 ) )
= $true ),
inference(imp_proxy_clausification,[],[f827]) ).
thf(f831,plain,
( sK10
= ( n_pl @ sK11 @ sK12 ) ),
inference(equality_proxy_clausification,[],[f830]) ).
thf(f832,plain,
( ( sK12 = sK13 )
= $false ),
inference(imp_proxy_clausification,[],[f829]) ).
thf(f833,plain,
( ( sK10
= ( n_pl @ sK11 @ sK13 ) )
= $true ),
inference(imp_proxy_clausification,[],[f829]) ).
thf(f834,plain,
( ( n_pl @ sK11 @ sK13 )
= sK10 ),
inference(equality_proxy_clausification,[],[f833]) ).
thf(f835,plain,
sK13 != sK12,
inference(equality_proxy_clausification,[],[f832]) ).
thf(f853,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f706]) ).
thf(f854,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f853]) ).
thf(f855,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f854]) ).
thf(f856,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f855]) ).
thf(f857,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ X1 @ Y0 )
= ( n_pl @ X1 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f856]) ).
thf(f858,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ( in @ X2 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f857]) ).
thf(f859,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f858]) ).
thf(f860,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ Y0 ) )
=> ( X2 = Y0 ) ) )
@ X3 )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f859]) ).
thf(f861,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( in @ X3 @ nat )
=> ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) )
=> ( X2 = X3 ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f860]) ).
thf(f862,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) )
=> ( X2 = X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f861]) ).
thf(f863,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( ( n_pl @ X1 @ X2 )
= ( n_pl @ X1 @ X3 ) )
= $false )
| ( ( in @ X3 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( X2 = X3 )
= $true ) ),
inference(imp_proxy_clausification,[],[f862]) ).
thf(f864,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( X2 = X3 )
= $true )
| ( ( in @ X3 @ nat )
= $false )
| ( ( n_pl @ X1 @ X2 )
!= ( n_pl @ X1 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f863]) ).
thf(f865,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( n_pl @ X1 @ X2 )
!= ( n_pl @ X1 @ X3 ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( X2 = X3 )
| ( ( in @ X3 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f864]) ).
thf(f1142,plain,
! [X0: $i] :
( ( ( in @ sK11 @ nat )
= $false )
| ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ sK11 @ X0 )
!= sK10 )
| ( ( in @ sK12 @ nat )
= $false )
| ( sK12 = X0 ) ),
inference(superposition,[],[f865,f831]) ).
thf(f1164,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( ( n_pl @ sK11 @ X0 )
!= sK10 )
| ( sK12 = X0 )
| ( ( in @ sK12 @ nat )
= $false )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f1142,f820]) ).
thf(f1165,plain,
! [X0: $i] :
( ( ( n_pl @ sK11 @ X0 )
!= sK10 )
| ( ( in @ X0 @ nat )
= $false )
| ( sK12 = X0 )
| ( ( in @ sK12 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1164]) ).
thf(f1172,plain,
! [X0: $i] :
( ( ( in @ X0 @ nat )
= $false )
| ( $true = $false )
| ( sK12 = X0 )
| ( ( n_pl @ sK11 @ X0 )
!= sK10 ) ),
inference(forward_demodulation,[],[f1165,f824]) ).
thf(f1173,plain,
! [X0: $i] :
( ( ( n_pl @ sK11 @ X0 )
!= sK10 )
| ( ( in @ X0 @ nat )
= $false )
| ( sK12 = X0 ) ),
inference(trivial_inequality_removal,[],[f1172]) ).
thf(f1180,plain,
( ( sK13 = sK12 )
| ( ( in @ sK13 @ nat )
= $false )
| ( sK10 != sK10 ) ),
inference(superposition,[],[f1173,f834]) ).
thf(f1185,plain,
( ( sK13 = sK12 )
| ( ( in @ sK13 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1180]) ).
thf(f1191,plain,
( ( in @ sK13 @ nat )
= $false ),
inference(forward_subsumption_resolution,[],[f1185,f835]) ).
thf(f1228,plain,
$true = $false,
inference(superposition,[],[f1191,f828]) ).
thf(f1231,plain,
$false,
inference(trivial_inequality_removal,[],[f1228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM648^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 12:31:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.36 % (690801)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (690811)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3411453964:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (690812)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (690812)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
% 0.21/0.36 % (690806)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3597343592:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (690808)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3969250877:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (690807)lrs+10_16_si=on:nwc=1.5:random_seed=462274798:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (690810)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=603371692:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (690809)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=2621135327: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)
% 0.21/0.36 % (690812)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=1369709557:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (690808)Instruction limit reached!
% 0.21/0.36 % (690808)------------------------------
% 0.21/0.36 % (690808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (690808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (690808)CaDiCaL version: 2.1.3
% 0.21/0.36 % (690808)Termination reason: Instruction limit
% 0.21/0.36 % (690808)Termination phase: shuffling
% 0.21/0.36 % (690808)Time elapsed: 0.003 s
% 0.21/0.36 % (690808)Peak memory usage: 10 MB
% 0.21/0.36 % (690808)Instructions burned: 6 (million)
% 0.21/0.36 % (690807)Instruction limit reached!
% 0.21/0.36 % (690807)------------------------------
% 0.21/0.36 % (690807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (690807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (690807)CaDiCaL version: 2.1.3
% 0.21/0.36 % (690807)Termination reason: Instruction limit
% 0.21/0.36 % (690807)Termination phase: Property scanning
% 0.21/0.36 % (690807)Time elapsed: 0.009 s
% 0.21/0.36 % (690807)Peak memory usage: 10 MB
% 0.21/0.36 % (690807)Instructions burned: 20 (million)
% 0.21/0.36 % (690811)Instruction limit reached!
% 0.21/0.36 % (690811)------------------------------
% 0.21/0.36 % (690811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (690811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (690811)CaDiCaL version: 2.1.3
% 0.21/0.36 % (690811)Termination reason: Instruction limit
% 0.21/0.36 % (690811)Termination phase: Function definition elimination
% 0.21/0.36 % (690811)Time elapsed: 0.018 s
% 0.21/0.36 % (690811)Peak memory usage: 11 MB
% 0.21/0.36 % (690811)Instructions burned: 77 (million)
% 0.21/0.36 % (690810)Instruction limit reached!
% 0.21/0.36 % (690810)------------------------------
% 0.21/0.36 % (690810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (690810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (690810)CaDiCaL version: 2.1.3
% 0.21/0.36 % (690810)Termination reason: Instruction limit
% 0.21/0.36 % (690810)Termination phase: Property scanning
% 0.21/0.36 % (690810)Time elapsed: 0.011 s
% 0.21/0.36 % (690810)Peak memory usage: 10 MB
% 0.21/0.36 % (690810)Instructions burned: 25 (million)
% 0.21/0.36 % (690822)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.36 % (690822)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1215952858:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.39 % (690820)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2208168945:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.39 % (690822)Instruction limit reached!
% 0.82/0.39 % (690822)------------------------------
% 0.82/0.39 % (690822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690822)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690822)Termination reason: Instruction limit
% 0.82/0.39 % (690822)Termination phase: shuffling
% 0.82/0.39 % (690822)Time elapsed: 0.002 s
% 0.82/0.39 % (690822)Peak memory usage: 10 MB
% 0.82/0.39 % (690822)Instructions burned: 8 (million)
% 0.82/0.39 % (690820)Instruction limit reached!
% 0.82/0.39 % (690820)------------------------------
% 0.82/0.39 % (690820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690820)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690820)Termination reason: Instruction limit
% 0.82/0.39 % (690820)Termination phase: shuffling
% 0.82/0.39 % (690820)Time elapsed: 0.001 s
% 0.82/0.39 % (690820)Peak memory usage: 10 MB
% 0.82/0.39 % (690820)Instructions burned: 3 (million)
% 0.82/0.39 % (690821)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=277275676:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.39 % (690823)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3222818902:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.39 % (690826)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
% 0.82/0.39 % (690826)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.39 % (690821)Instruction limit reached!
% 0.82/0.39 % (690821)------------------------------
% 0.82/0.39 % (690821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690821)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690821)Termination reason: Instruction limit
% 0.82/0.39 % (690821)Termination phase: shuffling
% 0.82/0.39 % (690821)Time elapsed: 0.003 s
% 0.82/0.39 % (690821)Peak memory usage: 10 MB
% 0.82/0.39 % (690821)Instructions burned: 6 (million)
% 0.82/0.39 % (690826)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4291944519:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.39 % (690823)Instruction limit reached!
% 0.82/0.39 % (690823)------------------------------
% 0.82/0.39 % (690823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690823)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690823)Termination reason: Instruction limit
% 0.82/0.39 % (690823)Termination phase: shuffling
% 0.82/0.39 % (690823)Time elapsed: 0.006 s
% 0.82/0.39 % (690823)Peak memory usage: 10 MB
% 0.82/0.39 % (690823)Instructions burned: 13 (million)
% 0.82/0.39 % (690806)Instruction limit reached!
% 0.82/0.39 % (690806)------------------------------
% 0.82/0.39 % (690806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690806)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690806)Termination reason: Instruction limit
% 0.82/0.39 % (690806)Termination phase: Function definition elimination
% 0.82/0.39 % (690806)Time elapsed: 0.038 s
% 0.82/0.39 % (690806)Peak memory usage: 11 MB
% 0.82/0.39 % (690806)Instructions burned: 87 (million)
% 0.82/0.39 % (690826)Instruction limit reached!
% 0.82/0.39 % (690826)------------------------------
% 0.82/0.39 % (690826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690826)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690826)Termination reason: Instruction limit
% 0.82/0.39 % (690826)Termination phase: Property scanning
% 0.82/0.39 % (690826)Time elapsed: 0.007 s
% 0.82/0.39 % (690826)Peak memory usage: 10 MB
% 0.82/0.39 % (690826)Instructions burned: 31 (million)
% 0.82/0.39 % (690827)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=1210676724:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.39 % (690834)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1729021064:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.39 % (690832)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.39 % (690832)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=3708195545:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.39 % (690833)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1413048028:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.39 % (690832)Instruction limit reached!
% 0.82/0.39 % (690832)------------------------------
% 0.82/0.39 % (690832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690832)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690832)Termination reason: Instruction limit
% 0.82/0.39 % (690832)Termination phase: shuffling
% 0.82/0.39 % (690832)Time elapsed: 0.003 s
% 0.82/0.39 % (690832)Peak memory usage: 10 MB
% 0.82/0.39 % (690832)Instructions burned: 6 (million)
% 0.82/0.39 % (690830)lrs+10_1_si=on:cs=on:random_seed=1591170965:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.39 % (690834)Refutation not found, incomplete strategy
% 0.82/0.39 % (690834)------------------------------
% 0.82/0.39 % (690834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690834)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690834)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.39 % (690834)Time elapsed: 0.010 s
% 0.82/0.39 % (690834)Peak memory usage: 13 MB
% 0.82/0.39 % (690834)Instructions burned: 41 (million)
% 0.82/0.39 % (690834)------------------------------
% 0.82/0.39 % (690834)------------------------------
% 0.82/0.39 % (690830)Instruction limit reached!
% 0.82/0.39 % (690830)------------------------------
% 0.82/0.39 % (690830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690830)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690830)Termination reason: Instruction limit
% 0.82/0.39 % (690830)Termination phase: shuffling
% 0.82/0.39 % (690830)Time elapsed: 0.004 s
% 0.82/0.39 % (690830)Peak memory usage: 10 MB
% 0.82/0.39 % (690830)Instructions burned: 9 (million)
% 0.82/0.39 % (690812)Instruction limit reached!
% 0.82/0.39 % (690812)------------------------------
% 0.82/0.39 % (690812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690812)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690812)Termination reason: Instruction limit
% 0.82/0.39 % (690812)Termination phase: Function definition elimination
% 0.82/0.39 % (690812)Time elapsed: 0.065 s
% 0.82/0.39 % (690812)Peak memory usage: 11 MB
% 0.82/0.39 % (690812)Instructions burned: 158 (million)
% 0.82/0.39 % (690833)Instruction limit reached!
% 0.82/0.39 % (690833)------------------------------
% 0.82/0.39 % (690833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690833)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690833)Termination reason: Instruction limit
% 0.82/0.39 % (690833)Termination phase: Saturation
% 0.82/0.39 % (690833)Time elapsed: 0.017 s
% 0.82/0.39 % (690833)Peak memory usage: 12 MB
% 0.82/0.39 % (690833)Instructions burned: 38 (million)
% 0.82/0.39 % (690842)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=115675470:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.39 % (690839)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3287156730:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.82/0.39 % (690827)Instruction limit reached!
% 0.82/0.39 % (690827)------------------------------
% 0.82/0.39 % (690827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690827)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690827)Termination reason: Instruction limit
% 0.82/0.39 % (690827)Termination phase: Function definition elimination
% 0.82/0.39 % (690827)Time elapsed: 0.036 s
% 0.82/0.39 % (690827)Peak memory usage: 11 MB
% 0.82/0.39 % (690827)Instructions burned: 86 (million)
% 0.82/0.39 % (690843)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3009151911:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.39 % (690841)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4221212317:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.39 % (690839)Instruction limit reached!
% 0.82/0.39 % (690839)------------------------------
% 0.82/0.39 % (690839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690839)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690839)Termination reason: Instruction limit
% 0.82/0.39 % (690839)Termination phase: Property scanning
% 0.82/0.39 % (690839)Time elapsed: 0.012 s
% 0.82/0.39 % (690839)Peak memory usage: 10 MB
% 0.82/0.39 % (690839)Instructions burned: 26 (million)
% 0.82/0.39 % (690843)Instruction limit reached!
% 0.82/0.39 % (690843)------------------------------
% 0.82/0.39 % (690843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690843)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690843)Termination reason: Instruction limit
% 0.82/0.39 % (690843)Termination phase: shuffling
% 0.82/0.39 % (690843)Time elapsed: 0.006 s
% 0.82/0.39 % (690843)Peak memory usage: 10 MB
% 0.82/0.39 % (690843)Instructions burned: 14 (million)
% 0.82/0.39 % (690844)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2617619012: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)
% 0.82/0.39 % (690844)Instruction limit reached!
% 0.82/0.39 % (690844)------------------------------
% 0.82/0.39 % (690844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690844)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690844)Termination reason: Instruction limit
% 0.82/0.39 % (690844)Termination phase: shuffling
% 0.82/0.39 % (690844)Time elapsed: 0.002 s
% 0.82/0.39 % (690844)Peak memory usage: 10 MB
% 0.82/0.39 % (690844)Instructions burned: 4 (million)
% 0.82/0.39 % (690841)Instruction limit reached!
% 0.82/0.39 % (690841)------------------------------
% 0.82/0.39 % (690841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (690841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (690841)CaDiCaL version: 2.1.3
% 0.82/0.39 % (690841)Termination reason: Instruction limit
% 0.82/0.39 % (690841)Termination phase: shuffling
% 0.82/0.39 % (690841)Time elapsed: 0.013 s
% 0.82/0.39 % (690841)Peak memory usage: 10 MB
% 0.82/0.39 % (690841)Instructions burned: 15 (million)
% 0.82/0.39 % (690847)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2850756364:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.82/0.39 % (690842) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-690801-690842"...
% 0.82/0.39 % (690842)...printing done.
% 0.82/0.39 % (690842)Refutation found. Thanks to Tanya!
% 0.82/0.39 % SZS status Theorem for theBenchmark
% 0.82/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.40 % (690842)------------------------------
% 0.82/0.40 % (690842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (690842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (690842)CaDiCaL version: 2.1.3
% 0.82/0.40 % (690842)Termination reason: Refutation
% 0.82/0.40 % (690842)Time elapsed: 0.029 s
% 0.82/0.40 % (690842)Peak memory usage: 13 MB
% 0.82/0.40 % (690842)Instructions burned: 118 (million)
% 0.82/0.40 % (690801)Success in time 0.159 s
% 0.82/0.40 % Vampire exiting
%------------------------------------------------------------------------------