%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM635^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:19:10 AM UTC 2026
% Result : Theorem 212.13s 38.62s
% Output : Refutation 212.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 80 ( 66 unt; 0 typ; 0 def)
% Number of atoms : 798 ( 250 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 1317 ( 85 ~; 78 |; 138 &; 950 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 176 ( 172 usr; 8 con; 0-7 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 400 ( 381 ^; 19 !; 0 ?; 400 :)
% 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,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_114,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_116,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_117,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_118,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_119,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_120,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_123,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_124,type,
vIMP: $o > $o > $o ).
thf(func_def_125,type,
vOR: $o > $o > $o ).
thf(func_def_126,type,
vAND: $o > $o > $o ).
thf(func_def_127,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_128,type,
vNOT: $o > $o ).
thf(func_def_129,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_130,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_132,type,
sK1: $i > ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_133,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_134,type,
sK3: $i > ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_135,type,
sK4: $i > $i > $i > $i ).
thf(func_def_136,type,
sK5: $i > $i > $i ).
thf(func_def_137,type,
sK6: $i > $i > ( $i > $i ) > $i ).
thf(func_def_138,type,
sK7: $i > $i ).
thf(func_def_139,type,
sK8: $i > $i > $i ).
thf(func_def_140,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
sK9: $i > ( $i > $o ) > $i > $i ).
thf(func_def_142,type,
sK10: $i > ( $i > $o ) > $i ).
thf(func_def_143,type,
sK11: $i > ( $i > $o ) > $i ).
thf(func_def_144,type,
sK12: $i > ( $i > $o ) > $i ).
thf(func_def_145,type,
sK13: $i > $i > $o ).
thf(func_def_146,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_147,type,
sK15: $i > $i > $o ).
thf(func_def_148,type,
sK16: $i > $i > $i ).
thf(func_def_149,type,
sK17: $i > $i > $i ).
thf(func_def_150,type,
sK18: $i > $i > $i > $i ).
thf(func_def_151,type,
sK19: $i > $i > $i > $i ).
thf(func_def_152,type,
sK20: $i > $i > $o ).
thf(func_def_155,type,
sK23: $i > $i > $o ).
thf(func_def_156,type,
sK24: $i > $i > $o ).
thf(func_def_157,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_158,type,
sK26: ( $i > $o ) > $i ).
thf(func_def_159,type,
sK27: ( $i > $o ) > $i ).
thf(func_def_160,type,
sK28: $i > $i > $o ).
thf(func_def_161,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK30: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK31: ( $i > $o ) > $i ).
thf(func_def_164,type,
sK32: ( $i > $o ) > $i ).
thf(func_def_165,type,
sK33: $i > $i > $i > $i ).
thf(func_def_166,type,
sK34: $i > $i > $o ).
thf(func_def_167,type,
sK35: ( $i > $o ) > $i ).
thf(func_def_168,type,
sK36: ( $i > $o ) > $i ).
thf(func_def_169,type,
sK37: ( $i > $o ) > $i ).
thf(func_def_170,type,
sK38: $i > $i > ( $i > $i ) > $i ).
thf(func_def_171,type,
sK39: $i > $i > $i ).
thf(func_def_172,type,
sK40: ( $i > $o ) > $i > $i ).
thf(func_def_173,type,
sK41: ( $i > $o ) > $i > $i ).
thf(func_def_174,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_175,type,
sK42: $i > $i ).
thf(f1,axiom,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f16,axiom,
( if
= ( ^ [X0: $o,X1: $i,X2: $i] :
( eps
@ ^ [X3: $i] :
( ( ~ X0
& ( X3 = X2 ) )
| ( ( X3 = X1 )
& X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_if) ).
thf(f25,axiom,
( ( ^ [X0: $i,X1: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [X2: $i] : ( if @ ( in @ emptyset @ X2 ) @ X0 @ X1 ) ) )
= d_UPair ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_UPair) ).
thf(f26,axiom,
( d_Sing
= ( ^ [X0: $i] : ( d_UPair @ X0 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_Sing) ).
thf(f27,axiom,
( binunion
= ( ^ [X0: $i,X1: $i] : ( union @ ( d_UPair @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_binunion) ).
thf(f37,axiom,
( ordsucc
= ( ^ [X0: $i] : ( binunion @ X0 @ ( d_Sing @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_ordsucc) ).
thf(f39,axiom,
! [X1: $i,X0: $i] :
( ( ( ordsucc @ X0 )
= ( ordsucc @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',ordsucc_inj) ).
thf(f74,axiom,
( ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) )
= imp ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_imp) ).
thf(f75,axiom,
( d_not
= ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_not) ).
thf(f91,axiom,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f158,axiom,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_nis) ).
thf(f172,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( nis @ X0 @ X1 )
=> ( nis @ ( ordsucc @ X0 ) @ ( ordsucc @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz1) ).
thf(f173,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( nis @ X0 @ X1 )
=> ( nis @ ( ordsucc @ X0 ) @ ( ordsucc @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f172]) ).
thf(f196,plain,
( ordsucc
= ( ^ [Y0: $i] : ( binunion @ Y0 @ ( d_Sing @ Y0 ) ) ) ),
inference(fool_elimination,[],[f37]) ).
thf(f201,plain,
( if
= ( ^ [X0: $o,X1: $i,X2: $i] :
( eps
@ ^ [X3: $i] :
( ( ~ X0
& ( X3 = X2 ) )
| ( ( X3 = X1 )
& X0 ) ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f202,plain,
( if
= ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( Y0
& ( Y1 = Y3 ) )
| ( ( Y2 = Y3 )
& ~ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f201]) ).
thf(f230,plain,
( nis
= ( ^ [Y0: $i,Y1: $i] : ( d_not @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f158]) ).
thf(f273,plain,
( ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) )
= imp ),
inference(rectify,[],[f74]) ).
thf(f274,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(fool_elimination,[],[f273]) ).
thf(f301,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f331,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( nis @ X1 @ X3 )
=> ( nis @ ( ordsucc @ X1 ) @ ( ordsucc @ X3 ) ) ) ) ),
inference(rectify,[],[f173]) ).
thf(f332,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( nis @ Y0 @ Y1 )
=> ( nis @ ( ordsucc @ Y0 ) @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f331]) ).
thf(f336,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f345,plain,
( binunion
= ( ^ [Y0: $i,Y1: $i] : ( union @ ( d_UPair @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f387,plain,
( ( ^ [X0: $i,X1: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [X2: $i] : ( if @ ( in @ emptyset @ X2 ) @ X0 @ X1 ) ) )
= d_UPair ),
inference(rectify,[],[f25]) ).
thf(f388,plain,
( d_UPair
= ( ^ [Y0: $i,Y1: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] : ( if @ ( in @ emptyset @ Y2 ) @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f387]) ).
thf(f396,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f397,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f396]) ).
thf(f401,plain,
( d_not
= ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ),
inference(rectify,[],[f75]) ).
thf(f402,plain,
( d_not
= ( ^ [Y0: $o] : ( imp @ Y0 @ $false ) ) ),
inference(fool_elimination,[],[f401]) ).
thf(f422,plain,
( d_Sing
= ( ^ [Y0: $i] : ( d_UPair @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f440,plain,
! [X1: $i,X0: $i] :
( ( ( ordsucc @ X0 )
= ( ordsucc @ X1 ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f39]) ).
thf(f441,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( nis @ Y0 @ Y1 )
=> ( nis @ ( ordsucc @ Y0 ) @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f332]) ).
thf(f481,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( ordsucc @ X0 )
!= ( ordsucc @ X1 ) ) ),
inference(ennf_transformation,[],[f440]) ).
thf(f513,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( ordsucc @ X0 )
!= ( ordsucc @ X1 ) ) ),
inference(rectify,[],[f481]) ).
thf(f570,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(cnf_transformation,[],[f274]) ).
thf(f581,plain,
( d_UPair
= ( ^ [Y0: $i,Y1: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] : ( if @ ( in @ emptyset @ Y2 ) @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f388]) ).
thf(f587,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f595,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f301]) ).
thf(f602,plain,
( ordsucc
= ( ^ [Y0: $i] : ( binunion @ Y0 @ ( d_Sing @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f196]) ).
thf(f625,plain,
( binunion
= ( ^ [Y0: $i,Y1: $i] : ( union @ ( d_UPair @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f345]) ).
thf(f632,plain,
( nis
= ( ^ [Y0: $i,Y1: $i] : ( d_not @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f230]) ).
thf(f636,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f397]) ).
thf(f646,plain,
( if
= ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( Y0
& ( Y1 = Y3 ) )
| ( ( Y2 = Y3 )
& ~ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f202]) ).
thf(f657,plain,
( d_Sing
= ( ^ [Y0: $i] : ( d_UPair @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f422]) ).
thf(f660,plain,
( d_not
= ( ^ [Y0: $o] : ( imp @ Y0 @ $false ) ) ),
inference(cnf_transformation,[],[f402]) ).
thf(f664,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( ordsucc @ X0 )
!= ( ordsucc @ X1 ) ) ),
inference(cnf_transformation,[],[f513]) ).
thf(f710,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( nis @ Y0 @ Y1 )
=> ( nis @ ( ordsucc @ Y0 ) @ ( ordsucc @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f441]) ).
thf(f714,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f336]) ).
thf(f719,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,[],[f636,f714]) ).
thf(f721,plain,
( d_UPair
= ( ^ [Y0: $i,Y1: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( ^ [Y3: $o,Y4: $i,Y5: $i] :
( eps
@ ^ [Y6: $i] :
( ( Y3
& ( Y4 = Y6 ) )
| ( ( Y5 = Y6 )
& ~ Y3 ) ) )
@ ( in @ emptyset @ Y2 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f581,f646]) ).
thf(f722,plain,
( d_Sing
= ( ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( ^ [Y4: $o,Y5: $i,Y6: $i] :
( eps
@ ^ [Y7: $i] :
( ( Y4
& ( Y5 = Y7 ) )
| ( ( Y6 = Y7 )
& ~ Y4 ) ) )
@ ( in @ emptyset @ Y3 )
@ Y1
@ Y2 ) )
@ Y0
@ Y0 ) ) ),
inference(definition_unfolding,[],[f657,f721]) ).
thf(f723,plain,
( binunion
= ( ^ [Y0: $i,Y1: $i] :
( union
@ ( ^ [Y2: $i,Y3: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( ^ [Y5: $o,Y6: $i,Y7: $i] :
( eps
@ ^ [Y8: $i] :
( ( Y5
& ( Y6 = Y8 ) )
| ( ( Y7 = Y8 )
& ~ Y5 ) ) )
@ ( in @ emptyset @ Y4 )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f625,f721]) ).
thf(f728,plain,
( ordsucc
= ( ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] :
( union
@ ( ^ [Y3: $i,Y4: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y5: $i] :
( ^ [Y6: $o,Y7: $i,Y8: $i] :
( eps
@ ^ [Y9: $i] :
( ( Y6
& ( Y7 = Y9 ) )
| ( ( Y8 = Y9 )
& ~ Y6 ) ) )
@ ( in @ emptyset @ Y5 )
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0
@ ( ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( ^ [Y5: $o,Y6: $i,Y7: $i] :
( eps
@ ^ [Y8: $i] :
( ( Y5
& ( Y6 = Y8 ) )
| ( ( Y7 = Y8 )
& ~ Y5 ) ) )
@ ( in @ emptyset @ Y4 )
@ Y2
@ Y3 ) )
@ Y1
@ Y1 )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f602,f723,f722]) ).
thf(f741,plain,
( d_not
= ( ^ [Y0: $o] :
( ^ [Y1: $o,Y2: $o] :
( Y1
=> Y2 )
@ Y0
@ $false ) ) ),
inference(definition_unfolding,[],[f660,f570]) ).
thf(f797,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f587,f595]) ).
thf(f798,plain,
( nis
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ Y2
@ $false )
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f632,f741,f797]) ).
thf(f863,plain,
! [X0: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] :
( union
@ ( ^ [Y3: $i,Y4: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y5: $i] :
( ^ [Y6: $o,Y7: $i,Y8: $i] :
( eps
@ ^ [Y9: $i] :
( ( Y6
& ( Y7 = Y9 ) )
| ( ( Y8 = Y9 )
& ~ Y6 ) ) )
@ ( in @ emptyset @ Y5 )
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0
@ ( ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( ^ [Y5: $o,Y6: $i,Y7: $i] :
( eps
@ ^ [Y8: $i] :
( ( Y5
& ( Y6 = Y8 ) )
| ( ( Y7 = Y8 )
& ~ Y5 ) ) )
@ ( in @ emptyset @ Y4 )
@ Y2
@ Y3 ) )
@ Y1
@ Y1 )
@ Y0 ) )
@ X0 )
!= ( ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] :
( union
@ ( ^ [Y3: $i,Y4: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y5: $i] :
( ^ [Y6: $o,Y7: $i,Y8: $i] :
( eps
@ ^ [Y9: $i] :
( ( Y6
& ( Y7 = Y9 ) )
| ( ( Y8 = Y9 )
& ~ Y6 ) ) )
@ ( in @ emptyset @ Y5 )
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0
@ ( ^ [Y1: $i] :
( ^ [Y2: $i,Y3: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( ^ [Y5: $o,Y6: $i,Y7: $i] :
( eps
@ ^ [Y8: $i] :
( ( Y5
& ( Y6 = Y8 ) )
| ( ( Y7 = Y8 )
& ~ Y5 ) ) )
@ ( in @ emptyset @ Y4 )
@ Y2
@ Y3 ) )
@ Y1
@ Y1 )
@ Y0 ) )
@ X1 ) )
| ( X0 = X1 ) ),
inference(definition_unfolding,[],[f664,f728,f728]) ).
thf(f878,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] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ Y4
@ $false )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ Y4
@ $false )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ ( ^ [Y2: $i] :
( ^ [Y3: $i,Y4: $i] :
( union
@ ( ^ [Y5: $i,Y6: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y7: $i] :
( ^ [Y8: $o,Y9: $i,Y10: $i] :
( eps
@ ^ [Y11: $i] :
( ( Y8
& ( Y9 = Y11 ) )
| ( ( Y10 = Y11 )
& ~ Y8 ) ) )
@ ( in @ emptyset @ Y7 )
@ Y5
@ Y6 ) )
@ Y3
@ Y4 ) )
@ Y2
@ ( ^ [Y3: $i] :
( ^ [Y4: $i,Y5: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y6: $i] :
( ^ [Y7: $o,Y8: $i,Y9: $i] :
( eps
@ ^ [Y10: $i] :
( ( Y7
& ( Y8 = Y10 ) )
| ( ( Y9 = Y10 )
& ~ Y7 ) ) )
@ ( in @ emptyset @ Y6 )
@ Y4
@ Y5 ) )
@ Y3
@ Y3 )
@ Y2 ) )
@ Y0 )
@ ( ^ [Y2: $i] :
( ^ [Y3: $i,Y4: $i] :
( union
@ ( ^ [Y5: $i,Y6: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y7: $i] :
( ^ [Y8: $o,Y9: $i,Y10: $i] :
( eps
@ ^ [Y11: $i] :
( ( Y8
& ( Y9 = Y11 ) )
| ( ( Y10 = Y11 )
& ~ Y8 ) ) )
@ ( in @ emptyset @ Y7 )
@ Y5
@ Y6 ) )
@ Y3
@ Y4 ) )
@ Y2
@ ( ^ [Y3: $i] :
( ^ [Y4: $i,Y5: $i] :
( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y6: $i] :
( ^ [Y7: $o,Y8: $i,Y9: $i] :
( eps
@ ^ [Y10: $i] :
( ( Y7
& ( Y8 = Y10 ) )
| ( ( Y9 = Y10 )
& ~ Y7 ) ) )
@ ( in @ emptyset @ Y6 )
@ Y4
@ Y5 ) )
@ Y3
@ Y3 )
@ Y2 ) )
@ Y1 ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f710,f719,f719,f798,f798,f728,f728]) ).
thf(f957,plain,
! [X0: $i,X1: $i] :
( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( X1 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( X1 = Y3 ) )
| ( ( X1 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
!= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( X0 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( X0 = Y3 ) )
| ( ( X0 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
| ( X0 = X1 ) ),
inference(beta-eta_normalization,[],[f863]) ).
thf(f1090,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( Y0 = Y1 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( Y0 = Y3 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( eps
@ ^ [Y5: $i] :
( ( ( in @ emptyset @ Y4 )
& ( Y0 = Y5 ) )
| ( ( Y0 = Y5 )
& ~ ( in @ emptyset @ Y4 ) ) ) ) )
= Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( Y1 = Y3 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( eps
@ ^ [Y5: $i] :
( ( ( in @ emptyset @ Y4 )
& ( Y1 = Y5 ) )
| ( ( Y1 = Y5 )
& ~ ( in @ emptyset @ Y4 ) ) ) ) )
= Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) ) ) )
=> $false ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f878]) ).
thf(f1091,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( Y0 = Y1 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( Y0 = Y3 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( eps
@ ^ [Y5: $i] :
( ( ( in @ emptyset @ Y4 )
& ( Y0 = Y5 ) )
| ( ( Y0 = Y5 )
& ~ ( in @ emptyset @ Y4 ) ) ) ) )
= Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( Y1 = Y3 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y4: $i] :
( eps
@ ^ [Y5: $i] :
( ( ( in @ emptyset @ Y4 )
& ( Y1 = Y5 ) )
| ( ( Y1 = Y5 )
& ~ ( in @ emptyset @ Y4 ) ) ) ) )
= Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) ) ) )
=> $false ) ) ) ) )
@ sK21 ) ),
inference(sigma_proxy_clausification,[],[f1090]) ).
thf(f1092,plain,
( $false
= ( ( in @ sK21 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( sK21 = Y0 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( sK21 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( sK21 = Y4 ) )
| ( ( sK21 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( Y0 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( Y0 = Y4 ) )
| ( ( Y0 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) ) )
=> $false ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1091]) ).
thf(f1093,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( sK21 = Y0 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( sK21 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( sK21 = Y4 ) )
| ( ( sK21 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( Y0 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( Y0 = Y4 ) )
| ( ( Y0 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) ) )
=> $false ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1092]) ).
thf(f1095,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( sK21 = Y0 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( sK21 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( sK21 = Y4 ) )
| ( ( sK21 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y1: $i] :
( eps
@ ^ [Y2: $i] :
( ( ( in @ emptyset @ Y1 )
& ( Y0 = Y2 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y3: $i] :
( eps
@ ^ [Y4: $i] :
( ( ( in @ emptyset @ Y3 )
& ( Y0 = Y4 ) )
| ( ( Y0 = Y4 )
& ~ ( in @ emptyset @ Y3 ) ) ) ) )
= Y2 )
& ~ ( in @ emptyset @ Y1 ) ) ) ) ) ) )
=> $false ) ) )
@ sK22 ) ),
inference(sigma_proxy_clausification,[],[f1093]) ).
thf(f1096,plain,
( $false
= ( ( in @ sK22 @ nat )
=> ( ( ( sK21 = sK22 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK22 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK22 = Y3 ) )
| ( ( sK22 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
=> $false ) ) ) ),
inference(beta-eta_normalization,[],[f1095]) ).
thf(f1097,plain,
( $false
= ( ( ( sK21 = sK22 )
=> $false )
=> ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK22 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK22 = Y3 ) )
| ( ( sK22 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
=> $false ) ) ),
inference(imp_proxy_clausification,[],[f1096]) ).
thf(f1099,plain,
( $false
= ( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK22 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK22 = Y3 ) )
| ( ( sK22 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
=> $false ) ),
inference(imp_proxy_clausification,[],[f1097]) ).
thf(f1100,plain,
( $true
= ( ( sK21 = sK22 )
=> $false ) ),
inference(imp_proxy_clausification,[],[f1097]) ).
thf(f1101,plain,
( ( $true = $false )
| ( $false
= ( sK21 = sK22 ) ) ),
inference(imp_proxy_clausification,[],[f1100]) ).
thf(f1102,plain,
( ( sK21 != sK22 )
| ( $true = $false ) ),
inference(equality_proxy_clausification,[],[f1101]) ).
thf(f1103,plain,
sK21 != sK22,
inference(trivial_inequality_removal,[],[f1102]) ).
thf(f1105,plain,
( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK22 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK22 = Y3 ) )
| ( ( sK22 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f1099]) ).
thf(f1106,plain,
( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK22 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK22 = Y3 ) )
| ( ( sK22 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f1105]) ).
thf(f1423,plain,
! [X2: $i,X1: $i] :
( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( X1 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( X1 = Y3 ) )
| ( ( X1 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
!= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( X2 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( X2 = Y3 ) )
| ( ( X2 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
| ( X1 = X2 ) ),
inference(global_subsumption,[],[f957]) ).
thf(f1523,plain,
! [X0: $i] :
( ( ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( sK21 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( sK21 = Y3 ) )
| ( ( sK21 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) )
!= ( union
@ ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y0: $i] :
( eps
@ ^ [Y1: $i] :
( ( ( in @ emptyset @ Y0 )
& ( X0 = Y1 ) )
| ( ( ( repl @ ( power @ ( power @ emptyset ) )
@ ^ [Y2: $i] :
( eps
@ ^ [Y3: $i] :
( ( ( in @ emptyset @ Y2 )
& ( X0 = Y3 ) )
| ( ( X0 = Y3 )
& ~ ( in @ emptyset @ Y2 ) ) ) ) )
= Y1 )
& ~ ( in @ emptyset @ Y0 ) ) ) ) ) ) )
| ( sK22 = X0 ) ),
inference(constrained_superposition,[],[f1423,f1106]) ).
thf(f1619,plain,
sK21 = sK22,
inference(equality_resolution,[],[f1523]) ).
thf(f1620,plain,
$false,
inference(forward_subsumption_resolution,[],[f1619,f1103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM635^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 12:03:58 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.08/1.19 % (504675)Will run a generic schedule for satisfiability detection.
% 6.08/1.19 % (504681)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3083975342_2999 on theBenchmark for (2999ds/0Mi)
% 6.08/1.19 % (504682)% WARNING: option uhcvi not known.
% 6.08/1.19 % (504682)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1955728832:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.08/1.19 % (504685)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1754391566:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.08/1.19 % (504685)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.08/1.19 % (504683)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2388975820:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.08/1.19 % (504687)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2636057330:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.08/1.19 % (504684)dis+10_1_sil=32000:sp=arity:random_seed=2155579441:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.08/1.19 % (504686)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=437854159:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.08/1.19 % (504682)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.08/1.19 % (504685)Instruction limit reached!
% 6.08/1.19 % (504685)------------------------------
% 6.08/1.19 % (504685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.19 % (504685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.19 % (504685)CaDiCaL version: 2.1.3
% 6.08/1.19 % (504685)Termination reason: Instruction limit
% 6.08/1.19 % (504685)Termination phase: Property scanning
% 6.08/1.19 % (504685)Time elapsed: 0.047 s
% 6.08/1.19 % (504685)Peak memory usage: 11 MB
% 6.08/1.19 % (504685)Instructions burned: 125 (million)
% 6.08/1.19 % Exception at run slice level
% 6.08/1.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.08/1.19 % (504695)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2653311273:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.08/1.19 % (504684)Instruction limit reached!
% 6.08/1.19 % (504684)------------------------------
% 6.08/1.19 % (504684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.19 % (504684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.19 % (504684)CaDiCaL version: 2.1.3
% 6.08/1.19 % (504684)Termination reason: Instruction limit
% 6.08/1.19 % (504684)Termination phase: Property scanning
% 6.08/1.19 % (504684)Time elapsed: 0.074 s
% 6.08/1.19 % (504684)Peak memory usage: 11 MB
% 6.08/1.19 % (504684)Instructions burned: 103 (million)
% 6.08/1.19 % (504698)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2801177579:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.08/1.19 % (504696)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=672358156:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.08/1.19 % (504686)Instruction limit reached!
% 6.08/1.19 % (504686)------------------------------
% 6.08/1.19 % (504686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.19 % (504698)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.08/1.19 % (504686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.19 % (504686)CaDiCaL version: 2.1.3
% 6.08/1.19 % (504686)Termination reason: Instruction limit
% 6.08/1.19 % (504686)Termination phase: Property scanning
% 6.08/1.19 % (504686)Time elapsed: 0.092 s
% 6.08/1.19 % (504686)Peak memory usage: 11 MB
% 6.08/1.19 % (504686)Instructions burned: 132 (million)
% 6.08/1.19 % (504682)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.08/1.19 % (504687)Instruction limit reached!
% 6.08/1.19 % (504687)------------------------------
% 6.08/1.19 % (504687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.19 % (504687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.19 % (504687)CaDiCaL version: 2.1.3
% 6.08/1.19 % (504687)Termination reason: Instruction limit
% 6.08/1.19 % (504687)Termination phase: Property scanning
% 6.08/1.19 % (504687)Time elapsed: 0.107 s
% 16.70/2.89 % (504687)Peak memory usage: 11 MB
% 16.70/2.89 % (504687)Instructions burned: 161 (million)
% 16.70/2.89 % (504701)ott-21_1_sil=16000:fs=off:random_seed=3003895846:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.70/2.89 % (504702)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2732581828:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.70/2.89 % (504696)Instruction limit reached!
% 16.70/2.89 % (504696)------------------------------
% 16.70/2.89 % (504696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.89 % (504696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.89 % (504696)CaDiCaL version: 2.1.3
% 16.70/2.89 % (504696)Termination reason: Instruction limit
% 16.70/2.89 % (504696)Termination phase: Property scanning
% 16.70/2.89 % (504696)Time elapsed: 0.054 s
% 16.70/2.89 % (504696)Peak memory usage: 11 MB
% 16.70/2.89 % (504696)Instructions burned: 136 (million)
% 16.70/2.89 % (504705)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1220898254:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.70/2.89 % (504701)Instruction limit reached!
% 16.70/2.89 % (504701)------------------------------
% 16.70/2.89 % (504701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.89 % (504701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.89 % (504701)CaDiCaL version: 2.1.3
% 16.70/2.89 % (504701)Termination reason: Instruction limit
% 16.70/2.89 % (504701)Termination phase: Property scanning
% 16.70/2.89 % (504701)Time elapsed: 0.046 s
% 16.70/2.89 % (504701)Peak memory usage: 11 MB
% 16.70/2.89 % (504701)Instructions burned: 182 (million)
% 16.70/2.89 % (504707)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3752524462:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.70/2.89 % (504698)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.70/2.89 % Exception at run slice level
% 16.70/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.70/2.89 % (504709)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=417266329:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 16.70/2.89 % Exception at run slice level
% 16.70/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.70/2.89 % (504711)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2203480641:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 16.70/2.89 % (504711)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.70/2.89 % (504702)Instruction limit reached!
% 16.70/2.89 % (504702)------------------------------
% 16.70/2.89 % (504702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.89 % (504702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.89 % (504702)CaDiCaL version: 2.1.3
% 16.70/2.89 % (504702)Termination reason: Instruction limit
% 16.70/2.89 % (504702)Termination phase: Saturation
% 16.70/2.89 % (504702)Time elapsed: 0.222 s
% 16.70/2.89 % (504702)Peak memory usage: 12 MB
% 16.70/2.89 % (504702)Instructions burned: 479 (million)
% 16.70/2.89 % (504698)Instruction limit reached!
% 16.70/2.89 % (504698)------------------------------
% 16.70/2.89 % (504698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.89 % (504698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.89 % (504698)CaDiCaL version: 2.1.3
% 16.70/2.89 % (504698)Termination reason: Instruction limit
% 16.70/2.89 % (504698)Termination phase: Saturation
% 16.70/2.89 % (504698)Time elapsed: 0.272 s
% 16.70/2.89 % (504698)Peak memory usage: 13 MB
% 16.70/2.89 % (504698)Instructions burned: 684 (million)
% 16.70/2.89 % (504713)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1431397022:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 16.70/2.89 % Exception at run slice level
% 16.70/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.70/2.89 % (504713)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.70/2.89 % (504714)fmb+10_1_sil=64000:random_seed=51867768:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 16.70/2.89 % (504716)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1695242688:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 48.81/7.21 % (504714)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.81/7.21 % (504707)Instruction limit reached!
% 48.81/7.21 % (504707)------------------------------
% 48.81/7.21 % (504707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.81/7.21 % (504707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.81/7.21 % (504707)CaDiCaL version: 2.1.3
% 48.81/7.21 % (504707)Termination reason: Instruction limit
% 48.81/7.21 % (504707)Termination phase: Saturation
% 48.81/7.21 % (504707)Time elapsed: 0.259 s
% 48.81/7.21 % (504707)Peak memory usage: 12 MB
% 48.81/7.21 % (504707)Instructions burned: 1182 (million)
% 48.81/7.21 % (504719)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4051011194:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 48.81/7.21 % Exception at run slice level
% 48.81/7.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.81/7.21 % Exception at run slice level
% 48.81/7.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.81/7.21 % (504721)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2717362007:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 48.81/7.21 % (504721)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.81/7.21 % (504722)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2535136739:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 48.81/7.21 % Exception at run slice level
% 48.81/7.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.81/7.21 % (504722)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.81/7.21 % (504725)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=703265854:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 48.81/7.21 % (504722)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 48.81/7.21 % (504711)Instruction limit reached!
% 48.81/7.21 % (504711)------------------------------
% 48.81/7.21 % (504711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.81/7.21 % (504711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.81/7.21 % (504711)CaDiCaL version: 2.1.3
% 48.81/7.21 % (504711)Termination reason: Instruction limit
% 48.81/7.21 % (504711)Termination phase: Saturation
% 48.81/7.21 % (504711)Time elapsed: 0.279 s
% 48.81/7.21 % (504711)Peak memory usage: 13 MB
% 48.81/7.21 % (504711)Instructions burned: 694 (million)
% 48.81/7.21 % (504727)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3646167444:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 48.81/7.21 % Exception at run slice level
% 48.81/7.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.81/7.21 % (504729)ott-2_1_sil=16000:newcnf=on:random_seed=229875532:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 48.81/7.21 % (504729)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 48.81/7.21 % Exception at run slice level
% 48.81/7.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 48.81/7.21 % (504731)ott+10_1_sil=32000:tgt=ground:random_seed=3198609137:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 48.81/7.21 % (504729)Instruction limit reached!
% 48.81/7.21 % (504729)------------------------------
% 48.81/7.21 % (504729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.81/7.21 % (504729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.81/7.21 % (504729)CaDiCaL version: 2.1.3
% 48.81/7.21 % (504729)Termination reason: Instruction limit
% 48.81/7.21 % (504729)Termination phase: Saturation
% 48.81/7.21 % (504729)Time elapsed: 0.215 s
% 48.81/7.21 % (504729)Peak memory usage: 12 MB
% 48.81/7.21 % (504729)Instructions burned: 874 (million)
% 48.81/7.21 % (504733)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1124877809:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 48.81/7.21 % (504713)Instruction limit reached!
% 48.81/7.21 % (504713)------------------------------
% 48.81/7.21 % (504713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.97/15.47 % (504713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.97/15.47 % (504713)CaDiCaL version: 2.1.3
% 106.97/15.47 % (504713)Termination reason: Instruction limit
% 106.97/15.47 % (504713)Termination phase: Saturation
% 106.97/15.47 % (504713)Time elapsed: 0.512 s
% 106.97/15.47 % (504713)Peak memory usage: 12 MB
% 106.97/15.47 % (504713)Instructions burned: 880 (million)
% 106.97/15.47 % Exception at run slice level
% 106.97/15.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.97/15.47 % (504735)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1380957062:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 106.97/15.47 % (504736)dis+21_1_sil=32000:sas=cadical:random_seed=4273825579:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 106.97/15.47 % (504735)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 106.97/15.47 % (504735)Instruction limit reached!
% 106.97/15.47 % (504735)------------------------------
% 106.97/15.47 % (504735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.97/15.47 % (504735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.97/15.47 % (504735)CaDiCaL version: 2.1.3
% 106.97/15.47 % (504735)Termination reason: Instruction limit
% 106.97/15.47 % (504735)Termination phase: Saturation
% 106.97/15.47 % (504735)Time elapsed: 0.745 s
% 106.97/15.47 % (504735)Peak memory usage: 13 MB
% 106.97/15.47 % (504735)Instructions burned: 3514 (million)
% 106.97/15.47 % (504740)ott+11_1_sil=16000:gs=on:random_seed=4204195297:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2982 on theBenchmark for (2982ds/2251Mi)
% 106.97/15.47 % (504722)Instruction limit reached!
% 106.97/15.47 % (504722)------------------------------
% 106.97/15.47 % (504722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.97/15.47 % (504722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.97/15.47 % (504722)CaDiCaL version: 2.1.3
% 106.97/15.47 % (504722)Termination reason: Instruction limit
% 106.97/15.47 % (504722)Termination phase: Saturation
% 106.97/15.47 % (504722)Time elapsed: 1.146 s
% 106.97/15.47 % (504722)Peak memory usage: 19 MB
% 106.97/15.47 % (504722)Instructions burned: 1473 (million)
% 106.97/15.47 % (504742)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3034803694:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 106.97/15.47 % (504740)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 106.97/15.47 % Exception at run slice level
% 106.97/15.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.97/15.47 % (504744)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3331473315:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 106.97/15.47 % (504740)Instruction limit reached!
% 106.97/15.47 % (504740)------------------------------
% 106.97/15.47 % (504740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.97/15.47 % (504740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.97/15.47 % (504740)CaDiCaL version: 2.1.3
% 106.97/15.47 % (504740)Termination reason: Instruction limit
% 106.97/15.47 % (504740)Termination phase: Saturation
% 106.97/15.47 % (504740)Time elapsed: 0.474 s
% 106.97/15.47 % (504740)Peak memory usage: 13 MB
% 106.97/15.47 % (504740)Instructions burned: 2254 (million)
% 106.97/15.47 % (504746)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2183613781:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 106.97/15.47 % (504736)Instruction limit reached!
% 106.97/15.47 % (504736)------------------------------
% 106.97/15.47 % (504736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.97/15.47 % (504736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.97/15.47 % (504736)CaDiCaL version: 2.1.3
% 106.97/15.47 % (504736)Termination reason: Instruction limit
% 106.97/15.47 % (504736)Termination phase: Saturation
% 106.97/15.47 % (504736)Time elapsed: 1.634 s
% 106.97/15.47 % (504736)Peak memory usage: 13 MB
% 106.97/15.47 % (504736)Instructions burned: 3773 (million)
% 106.97/15.47 % (504748)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2145772792:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 106.97/15.47 % (504721)Instruction limit reached!
% 106.97/15.47 % (504721)------------------------------
% 106.97/15.47 % (504721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 163.52/23.40 % (504721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.52/23.40 % (504721)CaDiCaL version: 2.1.3
% 163.52/23.40 % (504721)Termination reason: Instruction limit
% 163.52/23.40 % (504721)Termination phase: Saturation
% 163.52/23.40 % (504721)Time elapsed: 2.091 s
% 163.52/23.40 % (504721)Peak memory usage: 16 MB
% 163.52/23.40 % (504721)Instructions burned: 5132 (million)
% 163.52/23.40 % (504750)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1377493102:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 163.52/23.40 % Exception at run slice level
% 163.52/23.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 163.52/23.40 % (504753)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1320799456:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 163.52/23.40 % Exception at run slice level
% 163.52/23.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 163.52/23.40 % (504755)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1963349:i=14071_2971 on theBenchmark for (2971ds/14071Mi)
% 163.52/23.40 % Exception at run slice level
% 163.52/23.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 163.52/23.40 % (504764)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2801387664:i=22565:add=on:rawr=on_2969 on theBenchmark for (2969ds/22565Mi)
% 163.52/23.40 % (504731)Instruction limit reached!
% 163.52/23.40 % (504731)------------------------------
% 163.52/23.40 % (504731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 163.52/23.40 % (504731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.52/23.40 % (504731)CaDiCaL version: 2.1.3
% 163.52/23.40 % (504731)Termination reason: Instruction limit
% 163.52/23.40 % (504731)Termination phase: Saturation
% 163.52/23.40 % (504731)Time elapsed: 2.589 s
% 163.52/23.40 % (504731)Peak memory usage: 29 MB
% 163.52/23.40 % (504731)Instructions burned: 5115 (million)
% 163.52/23.40 % (504766)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1641567060:i=8173:av=off_2966 on theBenchmark for (2966ds/8173Mi)
% 163.52/23.40 % (504744)Instruction limit reached!
% 163.52/23.40 % (504744)------------------------------
% 163.52/23.40 % (504744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 163.52/23.40 % (504744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.52/23.40 % (504744)CaDiCaL version: 2.1.3
% 163.52/23.40 % (504744)Termination reason: Instruction limit
% 163.52/23.40 % (504744)Termination phase: Saturation
% 163.52/23.40 % (504744)Time elapsed: 2.407 s
% 163.52/23.40 % (504744)Peak memory usage: 30 MB
% 163.52/23.40 % (504744)Instructions burned: 4591 (million)
% 163.52/23.40 % (504770)dis+10_16:1_sil=16000:random_seed=327196616:i=9155:fsr=off_2957 on theBenchmark for (2957ds/9155Mi)
% 163.52/23.40 % (504748)Instruction limit reached!
% 163.52/23.40 % (504748)------------------------------
% 163.52/23.40 % (504748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 163.52/23.40 % (504748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.52/23.40 % (504748)CaDiCaL version: 2.1.3
% 163.52/23.40 % (504748)Termination reason: Instruction limit
% 163.52/23.40 % (504748)Termination phase: Saturation
% 163.52/23.40 % (504748)Time elapsed: 2.487 s
% 163.52/23.40 % (504748)Peak memory usage: 16 MB
% 163.52/23.40 % (504748)Instructions burned: 5211 (million)
% 163.52/23.40 % (504773)ott-3_8_sil=64000:random_seed=1871287224:i=20139:bs=on_2948 on theBenchmark for (2948ds/20139Mi)
% 163.52/23.40 % (504766)Instruction limit reached!
% 163.52/23.40 % (504766)------------------------------
% 163.52/23.40 % (504766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 163.52/23.40 % (504766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.52/23.40 % (504766)CaDiCaL version: 2.1.3
% 163.52/23.40 % (504766)Termination reason: Instruction limit
% 163.52/23.40 % (504766)Termination phase: Saturation
% 163.52/23.40 % (504766)Time elapsed: 3.455 s
% 163.52/23.40 % (504766)Peak memory usage: 41 MB
% 163.52/23.40 % (504766)Instructions burned: 8174 (million)
% 163.52/23.40 % (504775)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3388748965:fmbsr=2:i=32576_2931 on theBenchmark for (2931ds/32576Mi)
% 163.52/23.40 % Exception at run slice level
% 163.52/23.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 163.52/23.40 % (504777)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1910118841:i=11404_2930 on theBenchmark for (2930ds/11404Mi)
% 172.89/24.88 % (504770)Instruction limit reached!
% 172.89/24.88 % (504770)------------------------------
% 172.89/24.88 % (504770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504770)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504770)Termination reason: Instruction limit
% 172.89/24.88 % (504770)Termination phase: Saturation
% 172.89/24.88 % (504770)Time elapsed: 3.820 s
% 172.89/24.88 % (504770)Peak memory usage: 21 MB
% 172.89/24.88 % (504770)Instructions burned: 9158 (million)
% 172.89/24.88 % (504779)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=929364802:i=14134_2918 on theBenchmark for (2918ds/14134Mi)
% 172.89/24.88 % (504779)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 172.89/24.88 % (504777)Instruction limit reached!
% 172.89/24.88 % (504777)------------------------------
% 172.89/24.88 % (504777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504777)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504777)Termination reason: Instruction limit
% 172.89/24.88 % (504777)Termination phase: Saturation
% 172.89/24.88 % (504777)Time elapsed: 4.634 s
% 172.89/24.88 % (504777)Peak memory usage: 38 MB
% 172.89/24.88 % (504777)Instructions burned: 11404 (million)
% 172.89/24.88 % (504781)dis+33_16_sil=32000:sac=on:random_seed=4269758141:i=15851:nm=0_2883 on theBenchmark for (2883ds/15851Mi)
% 172.89/24.88 % (504764)Instruction limit reached!
% 172.89/24.88 % (504764)------------------------------
% 172.89/24.88 % (504764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504764)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504764)Termination reason: Instruction limit
% 172.89/24.88 % (504764)Termination phase: Saturation
% 172.89/24.88 % (504764)Time elapsed: 10.181 s
% 172.89/24.88 % (504764)Peak memory usage: 54 MB
% 172.89/24.88 % (504764)Instructions burned: 22566 (million)
% 172.89/24.88 % (504783)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=144784476:avsq=on:i=17627:add=on:amm=off_2867 on theBenchmark for (2867ds/17627Mi)
% 172.89/24.88 % (504773)Instruction limit reached!
% 172.89/24.88 % (504773)------------------------------
% 172.89/24.88 % (504773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504773)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504773)Termination reason: Instruction limit
% 172.89/24.88 % (504773)Termination phase: Saturation
% 172.89/24.88 % (504773)Time elapsed: 8.702 s
% 172.89/24.88 % (504773)Peak memory usage: 53 MB
% 172.89/24.88 % (504773)Instructions burned: 20139 (million)
% 172.89/24.88 % (504785)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3561644562:s2a=on:i=53295_2861 on theBenchmark for (2861ds/53295Mi)
% 172.89/24.88 % (504779)Instruction limit reached!
% 172.89/24.88 % (504779)------------------------------
% 172.89/24.88 % (504779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504779)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504779)Termination reason: Instruction limit
% 172.89/24.88 % (504779)Termination phase: Saturation
% 172.89/24.88 % (504779)Time elapsed: 5.747 s
% 172.89/24.88 % (504779)Peak memory usage: 53 MB
% 172.89/24.88 % (504779)Instructions burned: 14135 (million)
% 172.89/24.88 % (504787)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3141892707:i=26857:ins=20_2860 on theBenchmark for (2860ds/26857Mi)
% 172.89/24.88 % Exception at run slice level
% 172.89/24.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 172.89/24.88 % (504789)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3806000110:i=28120:bs=on:fsr=off_2859 on theBenchmark for (2859ds/28120Mi)
% 172.89/24.88 % (504746)Instruction limit reached!
% 172.89/24.88 % (504746)------------------------------
% 172.89/24.88 % (504746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.89/24.88 % (504746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.89/24.88 % (504746)CaDiCaL version: 2.1.3
% 172.89/24.88 % (504746)Termination reason: Instruction limit
% 172.89/24.88 % (504746)Termination phase: Saturation
% 189.27/27.06 % (504746)Time elapsed: 13.029 s
% 189.27/27.06 % (504746)Peak memory usage: 43 MB
% 189.27/27.06 % (504746)Instructions burned: 29344 (million)
% 189.27/27.06 % (504791)fmb+10_1_sil=256000:fmbss=7:random_seed=4139528909:fmbsr=1.6:i=182295_2847 on theBenchmark for (2847ds/182295Mi)
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504793)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=2611185227:i=44625:gsp=on_2846 on theBenchmark for (2846ds/44625Mi)
% 189.27/27.06 % (504793)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 189.27/27.06 % (504793)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504795)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2319477283:i=160505_2845 on theBenchmark for (2845ds/160505Mi)
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504797)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3553654026:fmbsr=1.3:i=225729_2844 on theBenchmark for (2844ds/225729Mi)
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504799)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=2020242185:fmbsr=2:i=185024:ins=7_2842 on theBenchmark for (2842ds/185024Mi)
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504801)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=3931705103:rtra=on_2841 on theBenchmark for (2841ds/0Mi)
% 189.27/27.06 % Exception at run slice level
% 189.27/27.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.27/27.06 % (504803)% WARNING: option uhcvi not known.
% 189.27/27.06 % (504803)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2624079059:i=271062:add=off:rtra=on:rawr=on_2840 on theBenchmark for (2840ds/271062Mi)
% 189.27/27.06 % (504803)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 189.27/27.06 % (504803)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 189.27/27.06 % (504781)Instruction limit reached!
% 189.27/27.06 % (504781)------------------------------
% 189.27/27.06 % (504781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.27/27.06 % (504781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.27/27.06 % (504781)CaDiCaL version: 2.1.3
% 189.27/27.06 % (504781)Termination reason: Instruction limit
% 189.27/27.06 % (504781)Termination phase: Saturation
% 189.27/27.06 % (504781)Time elapsed: 6.743 s
% 189.27/27.06 % (504781)Peak memory usage: 30 MB
% 189.27/27.06 % (504781)Instructions burned: 15851 (million)
% 189.27/27.06 % (504805)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3721185137:i=176048:add=on:rtra=on:rawr=on_2816 on theBenchmark for (2816ds/176048Mi)
% 189.27/27.06 % (504783)Instruction limit reached!
% 189.27/27.06 % (504783)------------------------------
% 189.27/27.06 % (504783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.27/27.06 % (504783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.27/27.06 % (504783)CaDiCaL version: 2.1.3
% 189.27/27.06 % (504783)Termination reason: Instruction limit
% 189.27/27.06 % (504783)Termination phase: Saturation
% 189.27/27.06 % (504783)Time elapsed: 9.816 s
% 189.27/27.06 % (504783)Peak memory usage: 43 MB
% 189.27/27.06 % (504783)Instructions burned: 17628 (million)
% 189.27/27.06 % (504807)dis+10_1_sil=32000:si=on:sp=arity:random_seed=1954014272:i=206:fgj=on:rtra=on_2769 on theBenchmark for (2769ds/206Mi)
% 189.27/27.06 % (504807)Instruction limit reached!
% 189.27/27.06 % (504807)------------------------------
% 189.27/27.06 % (504807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.27/27.06 % (504807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.27/27.06 % (504807)CaDiCaL version: 2.1.3
% 189.27/27.06 % (504807)Termination reason: Instruction limit
% 189.27/27.06 % (504807)Termination phase: Property scanning
% 211.77/30.29 % (504807)Time elapsed: 0.084 s
% 211.77/30.29 % (504807)Peak memory usage: 11 MB
% 211.77/30.29 % (504807)Instructions burned: 208 (million)
% 211.77/30.29 % (504809)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=3626016745:i=232:rtra=on_2768 on theBenchmark for (2768ds/232Mi)
% 211.77/30.29 % (504809)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 211.77/30.29 % (504809)Instruction limit reached!
% 211.77/30.29 % (504809)------------------------------
% 211.77/30.29 % (504809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.77/30.29 % (504809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.77/30.29 % (504809)CaDiCaL version: 2.1.3
% 211.77/30.29 % (504809)Termination reason: Instruction limit
% 211.77/30.29 % (504809)Termination phase: Property scanning
% 211.77/30.29 % (504809)Time elapsed: 0.094 s
% 211.77/30.29 % (504809)Peak memory usage: 11 MB
% 211.77/30.29 % (504809)Instructions burned: 233 (million)
% 211.77/30.29 % (504811)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=4121456004:i=262:rtra=on_2767 on theBenchmark for (2767ds/262Mi)
% 211.77/30.29 % (504811)Instruction limit reached!
% 211.77/30.29 % (504811)------------------------------
% 211.77/30.29 % (504811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.77/30.29 % (504811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.77/30.29 % (504811)CaDiCaL version: 2.1.3
% 211.77/30.29 % (504811)Termination reason: Instruction limit
% 211.77/30.29 % (504811)Termination phase: Saturation
% 211.77/30.29 % (504811)Time elapsed: 0.141 s
% 211.77/30.29 % (504811)Peak memory usage: 12 MB
% 211.77/30.29 % (504811)Instructions burned: 262 (million)
% 211.77/30.29 % (504813)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2417528478:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2765 on theBenchmark for (2765ds/318Mi)
% 211.77/30.29 % (504813)Instruction limit reached!
% 211.77/30.29 % (504813)------------------------------
% 211.77/30.29 % (504813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.77/30.29 % (504813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.77/30.29 % (504813)CaDiCaL version: 2.1.3
% 211.77/30.29 % (504813)Termination reason: Instruction limit
% 211.77/30.29 % (504813)Termination phase: Saturation
% 211.77/30.29 % (504813)Time elapsed: 0.131 s
% 211.77/30.29 % (504813)Peak memory usage: 12 MB
% 211.77/30.29 % (504813)Instructions burned: 320 (million)
% 211.77/30.29 % (504815)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=2236013296:i=1428:nm=2:rtra=on_2764 on theBenchmark for (2764ds/1428Mi)
% 211.77/30.29 % Exception at run slice level
% 211.77/30.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 211.77/30.29 % (504817)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=713865209:i=262:bd=preordered:rtra=on:fsd=on_2762 on theBenchmark for (2762ds/262Mi)
% 211.77/30.29 % (504817)Instruction limit reached!
% 211.77/30.29 % (504817)------------------------------
% 211.77/30.29 % (504817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.77/30.29 % (504817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.77/30.29 % (504817)CaDiCaL version: 2.1.3
% 211.77/30.29 % (504817)Termination reason: Instruction limit
% 211.77/30.29 % (504817)Termination phase: Saturation
% 211.77/30.29 % (504817)Time elapsed: 0.179 s
% 211.77/30.29 % (504817)Peak memory usage: 12 MB
% 211.77/30.29 % (504817)Instructions burned: 263 (million)
% 211.77/30.29 % (504819)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=909780461:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2760 on theBenchmark for (2760ds/1368Mi)
% 211.77/30.29 % (504819)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 211.77/30.29 % (504819)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 211.77/30.29 % (504819)Instruction limit reached!
% 211.77/30.29 % (504819)------------------------------
% 211.77/30.29 % (504819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.77/30.29 % (504819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.77/30.29 % (504819)CaDiCaL version: 2.1.3
% 211.77/30.29 % (504819)Termination reason: Instruction limit
% 211.77/30.29 % (504819)Termination phase: Saturation
% 211.77/30.29 % (504819)Time elapsed: 0.712 s
% 211.77/30.29 % (504819)Peak memory usage: 13 MB
% 242.58/34.66 % (504819)Instructions burned: 1370 (million)
% 242.58/34.66 % (504821)ott-21_1_sil=16000:si=on:fs=off:random_seed=3102575659:i=360:av=off:fsr=off:rtra=on_2753 on theBenchmark for (2753ds/360Mi)
% 242.58/34.66 % (504821)Instruction limit reached!
% 242.58/34.66 % (504821)------------------------------
% 242.58/34.66 % (504821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.58/34.66 % (504821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.58/34.66 % (504821)CaDiCaL version: 2.1.3
% 242.58/34.66 % (504821)Termination reason: Instruction limit
% 242.58/34.66 % (504821)Termination phase: Saturation
% 242.58/34.66 % (504821)Time elapsed: 0.178 s
% 242.58/34.66 % (504821)Peak memory usage: 12 MB
% 242.58/34.66 % (504821)Instructions burned: 360 (million)
% 242.58/34.66 % (504823)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4150426593:i=954:bd=all:rtra=on_2751 on theBenchmark for (2751ds/954Mi)
% 242.58/34.66 % (504823)Instruction limit reached!
% 242.58/34.66 % (504823)------------------------------
% 242.58/34.66 % (504823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.58/34.66 % (504823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.58/34.66 % (504823)CaDiCaL version: 2.1.3
% 242.58/34.66 % (504823)Termination reason: Instruction limit
% 242.58/34.66 % (504823)Termination phase: Saturation
% 242.58/34.66 % (504823)Time elapsed: 0.417 s
% 242.58/34.66 % (504823)Peak memory usage: 12 MB
% 242.58/34.66 % (504823)Instructions burned: 955 (million)
% 242.58/34.66 % (504825)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=933057531:fmbsr=1.3:i=1730:ins=25:rtra=on_2747 on theBenchmark for (2747ds/1730Mi)
% 242.58/34.66 % Exception at run slice level
% 242.58/34.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 242.58/34.66 % (504827)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=753806650:i=2358:rtra=on_2745 on theBenchmark for (2745ds/2358Mi)
% 242.58/34.66 % (504789)Instruction limit reached!
% 242.58/34.66 % (504789)------------------------------
% 242.58/34.66 % (504789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.58/34.66 % (504789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.58/34.66 % (504789)CaDiCaL version: 2.1.3
% 242.58/34.66 % (504789)Termination reason: Instruction limit
% 242.58/34.66 % (504789)Termination phase: Saturation
% 242.58/34.66 % (504789)Time elapsed: 12.046 s
% 242.58/34.66 % (504789)Peak memory usage: 52 MB
% 242.58/34.66 % (504789)Instructions burned: 28121 (million)
% 242.58/34.66 % (504829)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=1657846217:i=1778:ins=1:rtra=on_2738 on theBenchmark for (2738ds/1778Mi)
% 242.58/34.66 % Exception at run slice level
% 242.58/34.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 242.58/34.66 % (504831)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1704977674:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2737 on theBenchmark for (2737ds/1384Mi)
% 242.58/34.66 % (504831)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 242.58/34.66 % (504827)Instruction limit reached!
% 242.58/34.66 % (504827)------------------------------
% 242.58/34.66 % (504827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.58/34.66 % (504827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.58/34.66 % (504827)CaDiCaL version: 2.1.3
% 242.58/34.66 % (504827)Termination reason: Instruction limit
% 242.58/34.66 % (504827)Termination phase: Saturation
% 242.58/34.66 % (504827)Time elapsed: 1.016 s
% 242.58/34.66 % (504827)Peak memory usage: 13 MB
% 242.58/34.66 % (504827)Instructions burned: 2359 (million)
% 242.58/34.66 % (504833)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=1988237845:i=1758:kws=inv_precedence:fsr=off:rtra=on_2735 on theBenchmark for (2735ds/1758Mi)
% 242.58/34.66 % (504833)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 242.58/34.66 % (504831)Instruction limit reached!
% 242.58/34.66 % (504831)------------------------------
% 242.58/34.66 % (504831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.58/34.66 % (504831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.58/34.66 % (504831)CaDiCaL version: 2.1.3
% 242.58/34.66 % (504831)Termination reason: Instruction limit
% 242.58/34.66 % (504831)Termination phase: Saturation
% 212.13/38.62 % (504831)Time elapsed: 0.558 s
% 212.13/38.62 % (504831)Peak memory usage: 13 MB
% 212.13/38.62 % (504831)Instructions burned: 1384 (million)
% 212.13/38.62 % (504835)fmb+10_1_sil=64000:si=on:random_seed=1711301825:i=44122:nm=2:rtra=on:gsp=on_2731 on theBenchmark for (2731ds/44122Mi)
% 212.13/38.62 % (504835)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504837)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2721281181:i=19030:nm=5:rtra=on_2730 on theBenchmark for (2730ds/19030Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504839)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=3126032361:fmbsr=1.7:i=1840:rtra=on_2729 on theBenchmark for (2729ds/1840Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504841)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=2128710026:i=10262:rtra=on_2728 on theBenchmark for (2728ds/10262Mi)
% 212.13/38.62 % (504841)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 212.13/38.62 % (504833)Instruction limit reached!
% 212.13/38.62 % (504833)------------------------------
% 212.13/38.62 % (504833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504833)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504833)Termination reason: Instruction limit
% 212.13/38.62 % (504833)Termination phase: Saturation
% 212.13/38.62 % (504833)Time elapsed: 0.809 s
% 212.13/38.62 % (504833)Peak memory usage: 12 MB
% 212.13/38.62 % (504833)Instructions burned: 1760 (million)
% 212.13/38.62 % (504843)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:si=on:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2505904225:i=2944:ins=7:rtra=on:fdi=8:gsp=on_2727 on theBenchmark for (2727ds/2944Mi)
% 212.13/38.62 % (504843)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 212.13/38.62 % (504843)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 212.13/38.62 % (504843)Instruction limit reached!
% 212.13/38.62 % (504843)------------------------------
% 212.13/38.62 % (504843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504843)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504843)Termination reason: Instruction limit
% 212.13/38.62 % (504843)Termination phase: Saturation
% 212.13/38.62 % (504843)Time elapsed: 1.638 s
% 212.13/38.62 % (504843)Peak memory usage: 24 MB
% 212.13/38.62 % (504843)Instructions burned: 2945 (million)
% 212.13/38.62 % (504845)fmb+10_1_sil=16000:sas=cadical:si=on:bce=on:fmbss=77:random_seed=1035182345:i=12648:rtra=on_2710 on theBenchmark for (2710ds/12648Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504847)fmb+10_1_fmbas=function:sil=32000:sas=cadical:si=on:fmbss=16:random_seed=2751601381:fmbsr=2.30978:i=4348:rtra=on_2709 on theBenchmark for (2709ds/4348Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504849)ott-2_1_sil=16000:si=on:newcnf=on:random_seed=1230595149:avsq=on:i=1738:avsqr=1,16:kws=inv_arity_squared:rtra=on_2707 on theBenchmark for (2707ds/1738Mi)
% 212.13/38.62 % (504849)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 212.13/38.62 % (504849)Instruction limit reached!
% 212.13/38.62 % (504849)------------------------------
% 212.13/38.62 % (504849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504849)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504849)Termination reason: Instruction limit
% 212.13/38.62 % (504849)Termination phase: Saturation
% 212.13/38.62 % (504849)Time elapsed: 0.823 s
% 212.13/38.62 % (504849)Peak memory usage: 13 MB
% 212.13/38.62 % (504849)Instructions burned: 1739 (million)
% 212.13/38.62 % (504851)ott+10_1_sil=32000:tgt=ground:si=on:random_seed=1358178555:i=10228:av=off:rtra=on_2699 on theBenchmark for (2699ds/10228Mi)
% 212.13/38.62 % (504841)Instruction limit reached!
% 212.13/38.62 % (504841)------------------------------
% 212.13/38.62 % (504841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504841)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504841)Termination reason: Instruction limit
% 212.13/38.62 % (504841)Termination phase: Saturation
% 212.13/38.62 % (504841)Time elapsed: 4.235 s
% 212.13/38.62 % (504841)Peak memory usage: 22 MB
% 212.13/38.62 % (504841)Instructions burned: 10264 (million)
% 212.13/38.62 % (504853)fmb+10_1_sil=64000:sas=cadical:si=on:bce=on:rp=on:random_seed=2391320574:i=108564:rtra=on_2685 on theBenchmark for (2685ds/108564Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504855)dis-11_1_sil=16000:si=on:sp=reverse_frequency:alpa=true:random_seed=1148747089:i=7024:aac=none:rtra=on_2684 on theBenchmark for (2684ds/7024Mi)
% 212.13/38.62 % (504855)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 212.13/38.62 % (504851)Instruction limit reached!
% 212.13/38.62 % (504851)------------------------------
% 212.13/38.62 % (504851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504851)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504851)Termination reason: Instruction limit
% 212.13/38.62 % (504851)Termination phase: Saturation
% 212.13/38.62 % (504851)Time elapsed: 2.185 s
% 212.13/38.62 % (504851)Peak memory usage: 41 MB
% 212.13/38.62 % (504851)Instructions burned: 10232 (million)
% 212.13/38.62 % (504857)dis+21_1_sil=32000:sas=cadical:si=on:random_seed=2348603335:i=7546:rtra=on:amm=off_2677 on theBenchmark for (2677ds/7546Mi)
% 212.13/38.62 % (504682)Instruction limit reached!
% 212.13/38.62 % (504682)------------------------------
% 212.13/38.62 % (504682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504682)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504682)Termination reason: Instruction limit
% 212.13/38.62 % (504682)Termination phase: Saturation
% 212.13/38.62 % (504682)Time elapsed: 33.384 s
% 212.13/38.62 % (504682)Peak memory usage: 127 MB
% 212.13/38.62 % (504682)Instructions burned: 135531 (million)
% 212.13/38.62 % (504859)ott+11_1_sil=16000:si=on:gs=on:random_seed=2532405547:s2a=on:i=4502:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:rtra=on:fsd=on_2665 on theBenchmark for (2665ds/4502Mi)
% 212.13/38.62 % (504859)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 212.13/38.62 % (504857)Instruction limit reached!
% 212.13/38.62 % (504857)------------------------------
% 212.13/38.62 % (504857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504857)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504857)Termination reason: Instruction limit
% 212.13/38.62 % (504857)Termination phase: Saturation
% 212.13/38.62 % (504857)Time elapsed: 1.627 s
% 212.13/38.62 % (504857)Peak memory usage: 23 MB
% 212.13/38.62 % (504857)Instructions burned: 7551 (million)
% 212.13/38.62 % (504861)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:si=on:fmbss=7:random_seed=3784740364:fmbsr=1.6:i=135068:rtra=on_2661 on theBenchmark for (2661ds/135068Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504863)ott-22_32_sil=16000:tgt=full:si=on:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1250197426:avsq=on:i=9182:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:rtra=on:fdi=4_2660 on theBenchmark for (2660ds/9182Mi)
% 212.13/38.62 % (504855)Instruction limit reached!
% 212.13/38.62 % (504855)------------------------------
% 212.13/38.62 % (504855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504855)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504855)Termination reason: Instruction limit
% 212.13/38.62 % (504855)Termination phase: Saturation
% 212.13/38.62 % (504855)Time elapsed: 2.852 s
% 212.13/38.62 % (504855)Peak memory usage: 19 MB
% 212.13/38.62 % (504855)Instructions burned: 7026 (million)
% 212.13/38.62 % (504865)dis+10_64_to=lpo:sil=32000:si=on:spb=intro:urr=on:sac=on:random_seed=1234905390:i=58680:rtra=on_2655 on theBenchmark for (2655ds/58680Mi)
% 212.13/38.62 % (504859)Instruction limit reached!
% 212.13/38.62 % (504859)------------------------------
% 212.13/38.62 % (504859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504859)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504859)Termination reason: Instruction limit
% 212.13/38.62 % (504859)Termination phase: Saturation
% 212.13/38.62 % (504859)Time elapsed: 2.160 s
% 212.13/38.62 % (504859)Peak memory usage: 28 MB
% 212.13/38.62 % (504859)Instructions burned: 4506 (million)
% 212.13/38.62 % (504867)dis-10_1_sil=64000:sas=cadical:si=on:cn=on:random_seed=978096638:i=10422:rtra=on_2643 on theBenchmark for (2643ds/10422Mi)
% 212.13/38.62 % (504863)Instruction limit reached!
% 212.13/38.62 % (504863)------------------------------
% 212.13/38.62 % (504863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504863)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504863)Termination reason: Instruction limit
% 212.13/38.62 % (504863)Termination phase: Saturation
% 212.13/38.62 % (504863)Time elapsed: 2.111 s
% 212.13/38.62 % (504863)Peak memory usage: 42 MB
% 212.13/38.62 % (504863)Instructions burned: 9184 (million)
% 212.13/38.62 % (504869)fmb+10_1_sil=32000:sas=cadical:si=on:bce=on:fmbss=17:random_seed=164164110:i=10994:nm=2:rtra=on_2639 on theBenchmark for (2639ds/10994Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504871)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:si=on:fmbss=15:random_seed=2357866740:fmbsr=2:i=92664:rtra=on_2638 on theBenchmark for (2638ds/92664Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504873)fmb+10_1_sil=128000:tgt=full:sas=cadical:si=on:fmbss=12:random_seed=2454545388:i=28142:rtra=on_2638 on theBenchmark for (2638ds/28142Mi)
% 212.13/38.62 % Exception at run slice level
% 212.13/38.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 212.13/38.62 % (504875)dis+10_161_sil=128000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4193247332:i=45130:add=on:rtra=on:rawr=on_2636 on theBenchmark for (2636ds/45130Mi)
% 212.13/38.62 % (504785)Instruction limit reached!
% 212.13/38.62 % (504785)------------------------------
% 212.13/38.62 % (504785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504785)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504785)Termination reason: Instruction limit
% 212.13/38.62 % (504785)Termination phase: Saturation
% 212.13/38.62 % (504785)Time elapsed: 23.214 s
% 212.13/38.62 % (504785)Peak memory usage: 123 MB
% 212.13/38.62 % (504785)Instructions burned: 53297 (million)
% 212.13/38.62 % (504877)ott+4_1_sil=16000:si=on:sp=arity:gs=on:random_seed=4107763121:i=16346:av=off:rtra=on_2629 on theBenchmark for (2629ds/16346Mi)
% 212.13/38.62 % (504867)Instruction limit reached!
% 212.13/38.62 % (504867)------------------------------
% 212.13/38.62 % (504867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504867)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504867)Termination reason: Instruction limit
% 212.13/38.62 % (504867)Termination phase: Saturation
% 212.13/38.62 % (504867)Time elapsed: 2.624 s
% 212.13/38.62 % (504867)Peak memory usage: 22 MB
% 212.13/38.62 % (504867)Instructions burned: 10428 (million)
% 212.13/38.62 % (504879)dis+10_16:1_sil=16000:si=on:random_seed=1861377736:i=18310:fsr=off:rtra=on_2617 on theBenchmark for (2617ds/18310Mi)
% 212.13/38.62 % (504875) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-504675-504875"...
% 212.13/38.62 % (504875)...printing done.
% 212.13/38.62 % (504875)Refutation found. Thanks to Tanya!
% 212.13/38.62 % SZS status Theorem for theBenchmark
% 212.13/38.62 % SZS output start Proof for theBenchmark
% See solution above
% 212.13/38.62 % (504875)------------------------------
% 212.13/38.62 % (504875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 212.13/38.62 % (504875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.13/38.62 % (504875)CaDiCaL version: 2.1.3
% 212.13/38.62 % (504875)Termination reason: Refutation
% 212.13/38.62 % (504875)Time elapsed: 2.006 s
% 212.13/38.62 % (504875)Peak memory usage: 14 MB
% 212.13/38.62 % (504875)Instructions burned: 4302 (million)
% 212.13/38.62 % (504675)Success in time 38.382 s
% 212.13/38.62 % Vampire exiting
%------------------------------------------------------------------------------