%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM707^4 : 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 : n015.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 08:18:38 AM UTC 2026
% Result : Theorem 1.37s 0.49s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 342 ( 75 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 530 ( 9 ~; 11 |; 0 &; 466 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 183 ( 179 usr; 7 con; 0-7 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 134 ( 121 ^; 13 !; 0 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
is_of: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
eps: ( $i > $o ) > $i ).
thf(func_def_4,type,
in: $i > $i > $o ).
thf(func_def_5,type,
d_Subq: $i > $i > $o ).
thf(func_def_7,type,
union: $i > $i ).
thf(func_def_8,type,
power: $i > $i ).
thf(func_def_9,type,
repl: $i > ( $i > $i ) > $i ).
thf(func_def_10,type,
d_Union_closed: $i > $o ).
thf(func_def_11,type,
d_Power_closed: $i > $o ).
thf(func_def_12,type,
d_Repl_closed: $i > $o ).
thf(func_def_13,type,
d_ZF_closed: $i > $o ).
thf(func_def_14,type,
univof: $i > $i ).
thf(func_def_15,type,
if: $o > $i > $i > $i ).
thf(func_def_16,type,
nIn: $i > $i > $o ).
thf(func_def_17,type,
d_UPair: $i > $i > $i ).
thf(func_def_18,type,
d_Sing: $i > $i ).
thf(func_def_19,type,
binunion: $i > $i > $i ).
thf(func_def_20,type,
famunion: $i > ( $i > $i ) > $i ).
thf(func_def_21,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_23,type,
setminus: $i > $i > $i ).
thf(func_def_24,type,
d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).
thf(func_def_25,type,
d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).
thf(func_def_26,type,
ordsucc: $i > $i ).
thf(func_def_27,type,
nat_p: $i > $o ).
thf(func_def_29,type,
d_Inj1: $i > $i ).
thf(func_def_30,type,
d_Inj0: $i > $i ).
thf(func_def_31,type,
d_Unj: $i > $i ).
thf(func_def_32,type,
pair: $i > $i > $i ).
thf(func_def_33,type,
proj0: $i > $i ).
thf(func_def_34,type,
proj1: $i > $i ).
thf(func_def_35,type,
d_Sigma: $i > ( $i > $i ) > $i ).
thf(func_def_36,type,
setprod: $i > $i > $i ).
thf(func_def_37,type,
ap: $i > $i > $i ).
thf(func_def_38,type,
pair_p: $i > $o ).
thf(func_def_39,type,
d_Pi: $i > ( $i > $i ) > $i ).
thf(func_def_40,type,
imp: $o > $o > $o ).
thf(func_def_41,type,
d_not: $o > $o ).
thf(func_def_42,type,
wel: $o > $o ).
thf(func_def_43,type,
obvious: $o ).
thf(func_def_44,type,
l_ec: $o > $o > $o ).
thf(func_def_45,type,
d_and: $o > $o > $o ).
thf(func_def_46,type,
l_or: $o > $o > $o ).
thf(func_def_47,type,
orec: $o > $o > $o ).
thf(func_def_48,type,
l_iff: $o > $o > $o ).
thf(func_def_49,type,
all: $i > ( $i > $o ) > $o ).
thf(func_def_50,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(func_def_51,type,
l_some: $i > ( $i > $o ) > $o ).
thf(func_def_52,type,
or3: $o > $o > $o > $o ).
thf(func_def_53,type,
and3: $o > $o > $o > $o ).
thf(func_def_54,type,
ec3: $o > $o > $o > $o ).
thf(func_def_55,type,
orec3: $o > $o > $o > $o ).
thf(func_def_56,type,
e_is: $i > $i > $i > $o ).
thf(func_def_57,type,
amone: $i > ( $i > $o ) > $o ).
thf(func_def_58,type,
one: $i > ( $i > $o ) > $o ).
thf(func_def_59,type,
ind: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
injective: $i > $i > $i > $o ).
thf(func_def_61,type,
image: $i > $i > $i > $i > $o ).
thf(func_def_62,type,
tofs: $i > $i > $i > $i > $i ).
thf(func_def_63,type,
soft: $i > $i > $i > $i > $i ).
thf(func_def_64,type,
inverse: $i > $i > $i > $i ).
thf(func_def_65,type,
surjective: $i > $i > $i > $o ).
thf(func_def_66,type,
bijective: $i > $i > $i > $o ).
thf(func_def_67,type,
invf: $i > $i > $i > $i ).
thf(func_def_68,type,
inj_h: $i > $i > $i > $i > $i > $i ).
thf(func_def_69,type,
e_in: $i > ( $i > $o ) > $i > $i ).
thf(func_def_70,type,
out: $i > ( $i > $o ) > $i > $i ).
thf(func_def_71,type,
d_pair: $i > $i > $i > $i > $i ).
thf(func_def_72,type,
first: $i > $i > $i > $i ).
thf(func_def_73,type,
second: $i > $i > $i > $i ).
thf(func_def_74,type,
prop1: $o > $i > $i > $i > $i > $o ).
thf(func_def_75,type,
ite: $o > $i > $i > $i > $i ).
thf(func_def_76,type,
wissel_wa: $i > $i > $i > $i > $i ).
thf(func_def_77,type,
wissel_wb: $i > $i > $i > $i > $i ).
thf(func_def_78,type,
wissel: $i > $i > $i > $i ).
thf(func_def_79,type,
changef: $i > $i > $i > $i > $i > $i ).
thf(func_def_80,type,
r_ec: $o > $o > $o ).
thf(func_def_81,type,
esti: $i > $i > $i > $o ).
thf(func_def_82,type,
empty: $i > $i > $o ).
thf(func_def_83,type,
nonempty: $i > $i > $o ).
thf(func_def_84,type,
incl: $i > $i > $i > $o ).
thf(func_def_85,type,
st_disj: $i > $i > $i > $o ).
thf(func_def_86,type,
nissetprop: $i > $i > $i > $i > $o ).
thf(func_def_87,type,
unmore: $i > $i > $i > $i ).
thf(func_def_88,type,
ecelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_89,type,
ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_90,type,
anec: $i > ( $i > $i > $o ) > $i > $o ).
thf(func_def_91,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
ectset: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_93,type,
ectelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_94,type,
ecect: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_95,type,
fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_96,type,
d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).
thf(func_def_97,type,
prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).
thf(func_def_98,type,
indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_99,type,
fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_100,type,
d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_101,type,
indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).
thf(func_def_103,type,
n_is: $i > $i > $o ).
thf(func_def_104,type,
nis: $i > $i > $o ).
thf(func_def_105,type,
n_in: $i > $i > $o ).
thf(func_def_106,type,
n_some: ( $i > $o ) > $o ).
thf(func_def_107,type,
n_all: ( $i > $o ) > $o ).
thf(func_def_108,type,
n_one: ( $i > $o ) > $o ).
thf(func_def_110,type,
cond1: $i > $o ).
thf(func_def_111,type,
cond2: $i > $o ).
thf(func_def_112,type,
i1_s: ( $i > $o ) > $i ).
thf(func_def_113,type,
d_22_prop1: $i > $o ).
thf(func_def_114,type,
d_23_prop1: $i > $o ).
thf(func_def_115,type,
d_24_prop1: $i > $o ).
thf(func_def_116,type,
d_24_prop2: $i > $i > $o ).
thf(func_def_117,type,
prop3: $i > $i > $i > $o ).
thf(func_def_118,type,
prop4: $i > $o ).
thf(func_def_119,type,
d_24_g: $i > $i ).
thf(func_def_120,type,
plus: $i > $i ).
thf(func_def_121,type,
n_pl: $i > $i > $i ).
thf(func_def_122,type,
d_25_prop1: $i > $i > $i > $o ).
thf(func_def_123,type,
d_26_prop1: $i > $i > $o ).
thf(func_def_124,type,
d_27_prop1: $i > $i > $o ).
thf(func_def_125,type,
d_28_prop1: $i > $i > $i > $o ).
thf(func_def_126,type,
diffprop: $i > $i > $i > $o ).
thf(func_def_127,type,
d_29_ii: $i > $i > $o ).
thf(func_def_128,type,
iii: $i > $i > $o ).
thf(func_def_129,type,
d_29_prop1: $i > $i > $o ).
thf(func_def_130,type,
moreis: $i > $i > $o ).
thf(func_def_131,type,
lessis: $i > $i > $o ).
thf(func_def_132,type,
lbprop: ( $i > $o ) > $i > $i > $o ).
thf(func_def_133,type,
n_lb: ( $i > $o ) > $i > $o ).
thf(func_def_134,type,
min: ( $i > $o ) > $i > $o ).
thf(func_def_135,type,
d_428_prop1: $i > $i > $o ).
thf(func_def_136,type,
d_428_prop2: $i > $i > $o ).
thf(func_def_137,type,
d_428_prop4: $i > $o ).
thf(func_def_139,type,
d_428_g: $i > $i ).
thf(func_def_140,type,
times: $i > $i ).
thf(func_def_141,type,
n_ts: $i > $i > $i ).
thf(func_def_142,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_145,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vIMP: $o > $o > $o ).
thf(func_def_149,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_150,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
vNOT: $o > $o ).
thf(func_def_152,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_153,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_154,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_156,type,
vAND: $o > $o > $o ).
thf(func_def_157,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_158,type,
vOR: $o > $o > $o ).
thf(func_def_159,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_160,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_161,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK2: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_163,type,
sK3: $i > $i > $i > $i ).
thf(func_def_164,type,
sK4: $i > $i ).
thf(func_def_165,type,
sK5: $i > $i > $o ).
thf(func_def_166,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_167,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_168,type,
sK8: $i > $i > $i > $i ).
thf(func_def_171,type,
sK11: $i > $i > $o ).
thf(func_def_172,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_173,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_174,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_175,type,
sK15: ( $i > $o ) > $i ).
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 > $o ).
thf(func_def_179,type,
sK19: $i > $i > $o ).
thf(func_def_180,type,
sK20: $i > $i > $o ).
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 > $o ) > $i ).
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,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
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(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f292,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_ts @ X0 @ ( ordsucc @ X1 ) ) @ ( n_pl @ ( n_ts @ X0 @ X1 ) @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28b) ).
thf(f296,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ ( n_ts @ X0 @ X1 ) @ X0 ) @ ( n_ts @ X0 @ ( ordsucc @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28f) ).
thf(f297,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ ( n_ts @ X0 @ X1 ) @ X0 ) @ ( n_ts @ X0 @ ( ordsucc @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f296]) ).
thf(f329,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f362,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] : ( n_is @ ( n_pl @ ( n_ts @ X1 @ X3 ) @ X1 ) @ ( n_ts @ X1 @ ( ordsucc @ X3 ) ) ) ) ),
inference(rectify,[],[f297]) ).
thf(f363,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) @ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f362]) ).
thf(f491,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f492,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f491]) ).
thf(f550,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f712,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] : ( n_is @ ( n_ts @ X1 @ ( ordsucc @ X3 ) ) @ ( n_pl @ ( n_ts @ X1 @ X3 ) @ X1 ) ) ) ),
inference(rectify,[],[f292]) ).
thf(f713,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) @ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f712]) ).
thf(f792,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) @ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f363]) ).
thf(f852,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) @ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f792]) ).
thf(f902,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f492]) ).
thf(f939,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f953,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f329]) ).
thf(f955,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] : ( n_is @ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) @ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f713]) ).
thf(f962,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f550]) ).
thf(f989,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,[],[f902,f962]) ).
thf(f994,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f939,f953]) ).
thf(f1007,plain,
( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 )
@ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f852,f989,f989,f994]) ).
thf(f1090,plain,
( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ ( n_ts @ Y0 @ ( ordsucc @ Y1 ) )
@ ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f955,f989,f989,f994]) ).
thf(f1482,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_ts @ Y0 @ ( ordsucc @ Y1 ) )
= ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1090]) ).
thf(f1483,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_ts @ Y0 @ ( ordsucc @ Y1 ) )
= ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1482]) ).
thf(f1484,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_ts @ X1 @ ( ordsucc @ Y0 ) )
= ( n_pl @ ( n_ts @ X1 @ Y0 ) @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1483]) ).
thf(f1485,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_ts @ X1 @ ( ordsucc @ Y0 ) )
= ( n_pl @ ( n_ts @ X1 @ Y0 ) @ X1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1484]) ).
thf(f1486,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_ts @ X1 @ ( ordsucc @ Y0 ) )
= ( n_pl @ ( n_ts @ X1 @ Y0 ) @ X1 ) ) )
@ X2 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f1485]) ).
thf(f1487,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ X2 @ nat )
=> ( ( n_ts @ X1 @ ( ordsucc @ X2 ) )
= ( n_pl @ ( n_ts @ X1 @ X2 ) @ X1 ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f1486]) ).
thf(f1488,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( n_ts @ X1 @ ( ordsucc @ X2 ) )
= ( n_pl @ ( n_ts @ X1 @ X2 ) @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f1487]) ).
thf(f1489,plain,
! [X2: $i,X1: $i] :
( ( ( n_pl @ ( n_ts @ X1 @ X2 ) @ X1 )
= ( n_ts @ X1 @ ( ordsucc @ X2 ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1488]) ).
thf(f1506,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 )
= ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f1007]) ).
thf(f1507,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_pl @ ( n_ts @ Y0 @ Y1 ) @ Y0 )
= ( n_ts @ Y0 @ ( ordsucc @ Y1 ) ) ) ) ) )
@ sK9 )
= $false ),
inference(sigma_proxy_clausification,[],[f1506]) ).
thf(f1508,plain,
( $false
= ( ( in @ sK9 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ ( n_ts @ sK9 @ Y0 ) @ sK9 )
= ( n_ts @ sK9 @ ( ordsucc @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1507]) ).
thf(f1509,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ ( n_ts @ sK9 @ Y0 ) @ sK9 )
= ( n_ts @ sK9 @ ( ordsucc @ Y0 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f1508]) ).
thf(f1510,plain,
( ( in @ sK9 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f1508]) ).
thf(f1511,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ ( n_ts @ sK9 @ Y0 ) @ sK9 )
= ( n_ts @ sK9 @ ( ordsucc @ Y0 ) ) ) )
@ sK10 )
= $false ),
inference(sigma_proxy_clausification,[],[f1509]) ).
thf(f1512,plain,
( ( ( in @ sK10 @ nat )
=> ( ( n_pl @ ( n_ts @ sK9 @ sK10 ) @ sK9 )
= ( n_ts @ sK9 @ ( ordsucc @ sK10 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1511]) ).
thf(f1513,plain,
( $false
= ( ( n_pl @ ( n_ts @ sK9 @ sK10 ) @ sK9 )
= ( n_ts @ sK9 @ ( ordsucc @ sK10 ) ) ) ),
inference(imp_proxy_clausification,[],[f1512]) ).
thf(f1514,plain,
( $true
= ( in @ sK10 @ nat ) ),
inference(imp_proxy_clausification,[],[f1512]) ).
thf(f1515,plain,
( ( n_ts @ sK9 @ ( ordsucc @ sK10 ) )
!= ( n_pl @ ( n_ts @ sK9 @ sK10 ) @ sK9 ) ),
inference(equality_proxy_clausification,[],[f1513]) ).
thf(f2225,plain,
( ( ( in @ sK10 @ nat )
= $false )
| ( ( n_ts @ sK9 @ ( ordsucc @ sK10 ) )
!= ( n_ts @ sK9 @ ( ordsucc @ sK10 ) ) )
| ( ( in @ sK9 @ nat )
= $false ) ),
inference(superposition,[],[f1515,f1489]) ).
thf(f2227,plain,
( ( ( in @ sK9 @ nat )
= $false )
| ( ( in @ sK10 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f2225]) ).
thf(f2233,plain,
( ( $true = $false )
| ( ( in @ sK10 @ nat )
= $false ) ),
inference(forward_demodulation,[],[f2227,f1510]) ).
thf(f2234,plain,
( ( in @ sK10 @ nat )
= $false ),
inference(trivial_inequality_removal,[],[f2233]) ).
thf(f2265,plain,
$true = $false,
inference(superposition,[],[f2234,f1514]) ).
thf(f2267,plain,
$false,
inference(trivial_inequality_removal,[],[f2265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM707^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n015.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 12:46:33 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.25 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
% 0.71/0.38 % (3467944)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.38 % (3467954)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3985144569:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.38 % (3467955)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.38 % (3467955)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
% 0.71/0.38 % (3467950)lrs+10_16_si=on:nwc=1.5:random_seed=3990659303:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.38 % (3467949)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1669138889:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.38 % (3467951)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1492583505:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.38 % (3467955)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=1292106285:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.38 % (3467952)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=438737298: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)
% 0.71/0.38 % (3467953)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3533343637:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.38 % (3467951)Instruction limit reached!
% 0.71/0.38 % (3467951)------------------------------
% 0.71/0.38 % (3467951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (3467951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (3467951)CaDiCaL version: 2.1.3
% 0.71/0.38 % (3467951)Termination reason: Instruction limit
% 0.71/0.38 % (3467951)Termination phase: shuffling
% 0.71/0.38 % (3467951)Time elapsed: 0.002 s
% 0.71/0.38 % (3467951)Peak memory usage: 10 MB
% 0.71/0.38 % (3467951)Instructions burned: 4 (million)
% 0.71/0.38 % (3467950)Instruction limit reached!
% 0.71/0.38 % (3467950)------------------------------
% 0.71/0.38 % (3467950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (3467950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (3467950)CaDiCaL version: 2.1.3
% 0.71/0.38 % (3467950)Termination reason: Instruction limit
% 0.71/0.38 % (3467950)Termination phase: shuffling
% 0.71/0.38 % (3467950)Time elapsed: 0.008 s
% 0.71/0.38 % (3467950)Peak memory usage: 10 MB
% 0.71/0.38 % (3467950)Instructions burned: 18 (million)
% 0.71/0.38 % (3467953)Instruction limit reached!
% 0.71/0.38 % (3467953)------------------------------
% 0.71/0.38 % (3467953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (3467953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (3467953)CaDiCaL version: 2.1.3
% 0.71/0.38 % (3467953)Termination reason: Instruction limit
% 0.71/0.38 % (3467953)Termination phase: shuffling
% 0.71/0.38 % (3467953)Time elapsed: 0.011 s
% 0.71/0.38 % (3467953)Peak memory usage: 10 MB
% 0.71/0.38 % (3467953)Instructions burned: 24 (million)
% 0.71/0.38 % (3467954)Instruction limit reached!
% 0.71/0.38 % (3467954)------------------------------
% 0.71/0.38 % (3467954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (3467954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (3467954)CaDiCaL version: 2.1.3
% 0.71/0.38 % (3467954)Termination reason: Instruction limit
% 0.71/0.38 % (3467954)Termination phase: Property scanning
% 0.71/0.38 % (3467954)Time elapsed: 0.019 s
% 0.71/0.38 % (3467954)Peak memory usage: 11 MB
% 0.71/0.38 % (3467954)Instructions burned: 80 (million)
% 0.71/0.38 % (3467963)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=731140163:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.38 % (3467966)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2302661224:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.41 % (3467963)Instruction limit reached!
% 0.71/0.41 % (3467963)------------------------------
% 0.71/0.41 % (3467963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (3467963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (3467963)CaDiCaL version: 2.1.3
% 0.71/0.41 % (3467963)Termination reason: Instruction limit
% 0.71/0.41 % (3467963)Termination phase: shuffling
% 0.71/0.41 % (3467963)Time elapsed: 0.001 s
% 0.71/0.41 % (3467963)Peak memory usage: 10 MB
% 0.71/0.41 % (3467963)Instructions burned: 2 (million)
% 0.71/0.41 % (3467966)Instruction limit reached!
% 0.71/0.41 % (3467966)------------------------------
% 0.71/0.41 % (3467966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (3467966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (3467966)CaDiCaL version: 2.1.3
% 0.71/0.41 % (3467966)Termination reason: Instruction limit
% 0.71/0.41 % (3467966)Termination phase: shuffling
% 0.71/0.41 % (3467966)Time elapsed: 0.003 s
% 0.71/0.41 % (3467966)Peak memory usage: 10 MB
% 0.71/0.41 % (3467966)Instructions burned: 12 (million)
% 0.71/0.41 % (3467965)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.41 % (3467965)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1967572971:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.41 % (3467964)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1349318110:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.41 % (3467965)Instruction limit reached!
% 0.71/0.41 % (3467965)------------------------------
% 0.71/0.41 % (3467965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (3467965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (3467965)CaDiCaL version: 2.1.3
% 0.71/0.41 % (3467965)Termination reason: Instruction limit
% 0.71/0.41 % (3467965)Termination phase: shuffling
% 0.71/0.41 % (3467965)Time elapsed: 0.003 s
% 0.71/0.41 % (3467965)Peak memory usage: 10 MB
% 0.71/0.41 % (3467965)Instructions burned: 7 (million)
% 0.71/0.41 % (3467970)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=1803552953:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.41 % (3467949)Instruction limit reached!
% 0.71/0.41 % (3467949)------------------------------
% 0.71/0.41 % (3467949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (3467949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (3467949)CaDiCaL version: 2.1.3
% 0.71/0.41 % (3467949)Termination reason: Instruction limit
% 0.71/0.41 % (3467949)Termination phase: Function definition elimination
% 0.71/0.41 % (3467949)Time elapsed: 0.038 s
% 0.71/0.41 % (3467949)Peak memory usage: 11 MB
% 0.71/0.41 % (3467964)Instruction limit reached!
% 0.71/0.41 % (3467964)------------------------------
% 0.71/0.41 % (3467964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (3467949)Instructions burned: 89 (million)
% 0.71/0.41 % (3467964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (3467964)CaDiCaL version: 2.1.3
% 0.71/0.41 % (3467964)Termination reason: Instruction limit
% 0.71/0.41 % (3467964)Termination phase: shuffling
% 0.71/0.41 % (3467964)Time elapsed: 0.007 s
% 0.71/0.41 % (3467964)Peak memory usage: 10 MB
% 0.71/0.41 % (3467964)Instructions burned: 5 (million)
% 0.71/0.41 % (3467969)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
% 0.71/0.41 % (3467969)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.41 % (3467969)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=507873909:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.41 % (3467973)lrs+10_1_si=on:cs=on:random_seed=2916876585:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.41 % (3467969)Instruction limit reached!
% 0.71/0.44 % (3467969)------------------------------
% 0.71/0.44 % (3467969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467969)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467969)Termination reason: Instruction limit
% 0.71/0.44 % (3467969)Termination phase: shuffling
% 0.71/0.44 % (3467969)Time elapsed: 0.012 s
% 0.71/0.44 % (3467969)Peak memory usage: 10 MB
% 0.71/0.44 % (3467969)Instructions burned: 28 (million)
% 0.71/0.44 % (3467970)Instruction limit reached!
% 0.71/0.44 % (3467970)------------------------------
% 0.71/0.44 % (3467970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467970)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467970)Termination reason: Instruction limit
% 0.71/0.44 % (3467970)Termination phase: Function definition elimination
% 0.71/0.44 % (3467970)Time elapsed: 0.019 s
% 0.71/0.44 % (3467970)Peak memory usage: 11 MB
% 0.71/0.44 % (3467970)Instructions burned: 87 (million)
% 0.71/0.44 % (3467973)Instruction limit reached!
% 0.71/0.44 % (3467973)------------------------------
% 0.71/0.44 % (3467973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467973)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467973)Termination reason: Instruction limit
% 0.71/0.44 % (3467973)Termination phase: shuffling
% 0.71/0.44 % (3467973)Time elapsed: 0.004 s
% 0.71/0.44 % (3467973)Peak memory usage: 10 MB
% 0.71/0.44 % (3467973)Instructions burned: 9 (million)
% 0.71/0.44 % (3467975)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.44 % (3467955)Instruction limit reached!
% 0.71/0.44 % (3467955)------------------------------
% 0.71/0.44 % (3467955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467955)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467955)Termination reason: Instruction limit
% 0.71/0.44 % (3467955)Termination phase: Function definition elimination
% 0.71/0.44 % (3467955)Time elapsed: 0.065 s
% 0.71/0.44 % (3467955)Peak memory usage: 12 MB
% 0.71/0.44 % (3467955)Instructions burned: 159 (million)
% 0.71/0.44 % (3467975)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=3263701925:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.44 % (3467980)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3749045442:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.71/0.44 % (3467975)Instruction limit reached!
% 0.71/0.44 % (3467975)------------------------------
% 0.71/0.44 % (3467975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467975)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467975)Termination reason: Instruction limit
% 0.71/0.44 % (3467975)Termination phase: shuffling
% 0.71/0.44 % (3467975)Time elapsed: 0.002 s
% 0.71/0.44 % (3467975)Peak memory usage: 10 MB
% 0.71/0.44 % (3467975)Instructions burned: 4 (million)
% 0.71/0.44 % (3467980)Instruction limit reached!
% 0.71/0.44 % (3467980)------------------------------
% 0.71/0.44 % (3467980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (3467980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (3467980)CaDiCaL version: 2.1.3
% 0.71/0.44 % (3467980)Termination reason: Instruction limit
% 0.71/0.44 % (3467980)Termination phase: shuffling
% 0.71/0.44 % (3467980)Time elapsed: 0.006 s
% 0.71/0.44 % (3467980)Peak memory usage: 10 MB
% 0.71/0.44 % (3467980)Instructions burned: 27 (million)
% 0.71/0.44 % (3467979)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=146109008:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.71/0.44 % (3467977)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2728345659:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.44 % (3467981)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=633628128:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.49 % (3467986)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3771199099: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)
% 1.37/0.49 % (3467986)Instruction limit reached!
% 1.37/0.49 % (3467986)------------------------------
% 1.37/0.49 % (3467986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467986)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467986)Termination reason: Instruction limit
% 1.37/0.49 % (3467986)Termination phase: shuffling
% 1.37/0.49 % (3467986)Time elapsed: 0.001 s
% 1.37/0.49 % (3467986)Peak memory usage: 10 MB
% 1.37/0.49 % (3467986)Instructions burned: 4 (million)
% 1.37/0.49 % (3467981)Instruction limit reached!
% 1.37/0.49 % (3467981)------------------------------
% 1.37/0.49 % (3467981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467984)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2034245939:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.37/0.49 % (3467981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467981)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467981)Termination reason: Instruction limit
% 1.37/0.49 % (3467981)Termination phase: shuffling
% 1.37/0.49 % (3467981)Time elapsed: 0.006 s
% 1.37/0.49 % (3467981)Peak memory usage: 10 MB
% 1.37/0.49 % (3467981)Instructions burned: 15 (million)
% 1.37/0.49 % (3467985)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3217957439:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.49 % (3467985)Instruction limit reached!
% 1.37/0.49 % (3467985)------------------------------
% 1.37/0.49 % (3467985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467985)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467985)Termination reason: Instruction limit
% 1.37/0.49 % (3467985)Termination phase: shuffling
% 1.37/0.49 % (3467985)Time elapsed: 0.006 s
% 1.37/0.49 % (3467985)Peak memory usage: 10 MB
% 1.37/0.49 % (3467985)Instructions burned: 14 (million)
% 1.37/0.49 % (3467992)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1568205677:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.37/0.49 % (3467992)Instruction limit reached!
% 1.37/0.49 % (3467992)------------------------------
% 1.37/0.49 % (3467992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467992)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467992)Termination reason: Instruction limit
% 1.37/0.49 % (3467992)Termination phase: shuffling
% 1.37/0.49 % (3467992)Time elapsed: 0.006 s
% 1.37/0.49 % (3467992)Peak memory usage: 10 MB
% 1.37/0.49 % (3467992)Instructions burned: 28 (million)
% 1.37/0.49 % (3467993)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3903930538:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.49 % (3467979)Refutation not found, incomplete strategy
% 1.37/0.49 % (3467979)------------------------------
% 1.37/0.49 % (3467979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467979)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467979)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.49 % (3467979)Time elapsed: 0.031 s
% 1.37/0.49 % (3467979)Peak memory usage: 13 MB
% 1.37/0.49 % (3467979)Instructions burned: 71 (million)
% 1.37/0.49 % (3467979)------------------------------
% 1.37/0.49 % (3467979)------------------------------
% 1.37/0.49 % (3467977)Instruction limit reached!
% 1.37/0.49 % (3467977)------------------------------
% 1.37/0.49 % (3467977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467977)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467977)Termination reason: Instruction limit
% 1.37/0.49 % (3467977)Termination phase: Property scanning
% 1.37/0.49 % (3467977)Time elapsed: 0.031 s
% 1.37/0.49 % (3467977)Peak memory usage: 10 MB
% 1.37/0.49 % (3467977)Instructions burned: 39 (million)
% 1.37/0.49 % (3467997)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
% 1.37/0.49 % (3467997)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.37/0.49 % (3467997)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=41977570:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.49 % (3467995)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3627397923:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.37/0.49 % (3467993)Instruction limit reached!
% 1.37/0.49 % (3467993)------------------------------
% 1.37/0.49 % (3467993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467993)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467993)Termination reason: Instruction limit
% 1.37/0.49 % (3467993)Termination phase: shuffling
% 1.37/0.49 % (3467993)Time elapsed: 0.010 s
% 1.37/0.49 % (3467993)Peak memory usage: 10 MB
% 1.37/0.49 % (3467993)Instructions burned: 23 (million)
% 1.37/0.49 % (3467997)Instruction limit reached!
% 1.37/0.49 % (3467997)------------------------------
% 1.37/0.49 % (3467997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467997)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467997)Termination reason: Instruction limit
% 1.37/0.49 % (3467997)Termination phase: shuffling
% 1.37/0.49 % (3467997)Time elapsed: 0.003 s
% 1.37/0.49 % (3467997)Peak memory usage: 10 MB
% 1.37/0.49 % (3467997)Instructions burned: 15 (million)
% 1.37/0.49 % (3467999)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.37/0.49 % (3468004)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2653259920:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.49 % (3467999)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=1926584081:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.37/0.49 % (3468000)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=3997158854:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.37/0.49 % (3467999)Instruction limit reached!
% 1.37/0.49 % (3467999)------------------------------
% 1.37/0.49 % (3467999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467999)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467999)Termination reason: Instruction limit
% 1.37/0.49 % (3467999)Termination phase: shuffling
% 1.37/0.49 % (3467999)Time elapsed: 0.004 s
% 1.37/0.49 % (3467999)Peak memory usage: 10 MB
% 1.37/0.49 % (3467999)Instructions burned: 10 (million)
% 1.37/0.49 % (3468004)Instruction limit reached!
% 1.37/0.49 % (3468004)------------------------------
% 1.37/0.49 % (3468004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3468004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3468004)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3468004)Termination reason: Instruction limit
% 1.37/0.49 % (3468004)Termination phase: shuffling
% 1.37/0.49 % (3468004)Time elapsed: 0.006 s
% 1.37/0.49 % (3468004)Peak memory usage: 10 MB
% 1.37/0.49 % (3468004)Instructions burned: 26 (million)
% 1.37/0.49 % (3468003)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=480683358:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.37/0.49 % (3468003)Instruction limit reached!
% 1.37/0.49 % (3468003)------------------------------
% 1.37/0.49 % (3468003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3468003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3468003)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3468003)Termination reason: Instruction limit
% 1.37/0.49 % (3468003)Termination phase: shuffling
% 1.37/0.49 % (3468003)Time elapsed: 0.003 s
% 1.37/0.49 % (3468003)Peak memory usage: 10 MB
% 1.37/0.49 % (3468003)Instructions burned: 7 (million)
% 1.37/0.49 % (3467995)Instruction limit reached!
% 1.37/0.49 % (3467995)------------------------------
% 1.37/0.49 % (3467995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467995)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467995)Termination reason: Instruction limit
% 1.37/0.49 % (3467995)Termination phase: Property scanning
% 1.37/0.49 % (3467995)Time elapsed: 0.026 s
% 1.37/0.49 % (3467995)Peak memory usage: 11 MB
% 1.37/0.49 % (3467995)Instructions burned: 61 (million)
% 1.37/0.49 % (3468009)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=403978326:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.37/0.49 % (3468000)Instruction limit reached!
% 1.37/0.49 % (3468000)------------------------------
% 1.37/0.49 % (3468000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3468000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3468000)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3468000)Termination reason: Instruction limit
% 1.37/0.49 % (3468000)Termination phase: Property scanning
% 1.37/0.49 % (3468000)Time elapsed: 0.021 s
% 1.37/0.49 % (3468000)Peak memory usage: 10 MB
% 1.37/0.49 % (3468000)Instructions burned: 33 (million)
% 1.37/0.49 % (3468008)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=754358145:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.37/0.49 % (3468012)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=491486987:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.37/0.49 % (3468011)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1008935540:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.37/0.49 % (3468008)Instruction limit reached!
% 1.37/0.49 % (3468008)------------------------------
% 1.37/0.49 % (3468008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3468008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3468008)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3468008)Termination reason: Instruction limit
% 1.37/0.49 % (3468008)Termination phase: shuffling
% 1.37/0.49 % (3468008)Time elapsed: 0.009 s
% 1.37/0.49 % (3468008)Peak memory usage: 10 MB
% 1.37/0.49 % (3468008)Instructions burned: 22 (million)
% 1.37/0.49 % (3468014)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=337491977:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.37/0.49 % (3467984) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3467944-3467984"...
% 1.37/0.49 % (3468018)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.37/0.49 % (3467984)...printing done.
% 1.37/0.49 % (3467984)Refutation found. Thanks to Tanya!
% 1.37/0.49 % SZS status Theorem for theBenchmark
% 1.37/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.49 % (3467984)------------------------------
% 1.37/0.49 % (3467984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.49 % (3467984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.49 % (3467984)CaDiCaL version: 2.1.3
% 1.37/0.49 % (3467984)Termination reason: Refutation
% 1.37/0.49 % (3467984)Time elapsed: 0.095 s
% 1.37/0.49 % (3467984)Peak memory usage: 14 MB
% 1.37/0.49 % (3467984)Instructions burned: 218 (million)
% 1.37/0.49 % (3467944)Success in time 0.235 s
% 1.37/0.49 % Vampire exiting
%------------------------------------------------------------------------------