%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM641^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:21 AM UTC 2026
% Result : Theorem 0.61s 0.47s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 208 ( 52 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 242 ( 9 ~; 3 |; 0 &; 210 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 167 ( 163 usr; 7 con; 0-7 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 77 ^; 6 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
is_of: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
eps: ( $i > $o ) > $i ).
thf(func_def_4,type,
in: $i > $i > $o ).
thf(func_def_5,type,
d_Subq: $i > $i > $o ).
thf(func_def_7,type,
union: $i > $i ).
thf(func_def_8,type,
power: $i > $i ).
thf(func_def_9,type,
repl: $i > ( $i > $i ) > $i ).
thf(func_def_10,type,
d_Union_closed: $i > $o ).
thf(func_def_11,type,
d_Power_closed: $i > $o ).
thf(func_def_12,type,
d_Repl_closed: $i > $o ).
thf(func_def_13,type,
d_ZF_closed: $i > $o ).
thf(func_def_14,type,
univof: $i > $i ).
thf(func_def_15,type,
if: $o > $i > $i > $i ).
thf(func_def_16,type,
nIn: $i > $i > $o ).
thf(func_def_17,type,
d_UPair: $i > $i > $i ).
thf(func_def_18,type,
d_Sing: $i > $i ).
thf(func_def_19,type,
binunion: $i > $i > $i ).
thf(func_def_20,type,
famunion: $i > ( $i > $i ) > $i ).
thf(func_def_21,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_23,type,
setminus: $i > $i > $i ).
thf(func_def_24,type,
d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).
thf(func_def_25,type,
d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).
thf(func_def_26,type,
ordsucc: $i > $i ).
thf(func_def_27,type,
nat_p: $i > $o ).
thf(func_def_29,type,
d_Inj1: $i > $i ).
thf(func_def_30,type,
d_Inj0: $i > $i ).
thf(func_def_31,type,
d_Unj: $i > $i ).
thf(func_def_32,type,
pair: $i > $i > $i ).
thf(func_def_33,type,
proj0: $i > $i ).
thf(func_def_34,type,
proj1: $i > $i ).
thf(func_def_35,type,
d_Sigma: $i > ( $i > $i ) > $i ).
thf(func_def_36,type,
setprod: $i > $i > $i ).
thf(func_def_37,type,
ap: $i > $i > $i ).
thf(func_def_38,type,
pair_p: $i > $o ).
thf(func_def_39,type,
d_Pi: $i > ( $i > $i ) > $i ).
thf(func_def_40,type,
imp: $o > $o > $o ).
thf(func_def_41,type,
d_not: $o > $o ).
thf(func_def_42,type,
wel: $o > $o ).
thf(func_def_43,type,
obvious: $o ).
thf(func_def_44,type,
l_ec: $o > $o > $o ).
thf(func_def_45,type,
d_and: $o > $o > $o ).
thf(func_def_46,type,
l_or: $o > $o > $o ).
thf(func_def_47,type,
orec: $o > $o > $o ).
thf(func_def_48,type,
l_iff: $o > $o > $o ).
thf(func_def_49,type,
all: $i > ( $i > $o ) > $o ).
thf(func_def_50,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(func_def_51,type,
l_some: $i > ( $i > $o ) > $o ).
thf(func_def_52,type,
or3: $o > $o > $o > $o ).
thf(func_def_53,type,
and3: $o > $o > $o > $o ).
thf(func_def_54,type,
ec3: $o > $o > $o > $o ).
thf(func_def_55,type,
orec3: $o > $o > $o > $o ).
thf(func_def_56,type,
e_is: $i > $i > $i > $o ).
thf(func_def_57,type,
amone: $i > ( $i > $o ) > $o ).
thf(func_def_58,type,
one: $i > ( $i > $o ) > $o ).
thf(func_def_59,type,
ind: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
injective: $i > $i > $i > $o ).
thf(func_def_61,type,
image: $i > $i > $i > $i > $o ).
thf(func_def_62,type,
tofs: $i > $i > $i > $i > $i ).
thf(func_def_63,type,
soft: $i > $i > $i > $i > $i ).
thf(func_def_64,type,
inverse: $i > $i > $i > $i ).
thf(func_def_65,type,
surjective: $i > $i > $i > $o ).
thf(func_def_66,type,
bijective: $i > $i > $i > $o ).
thf(func_def_67,type,
invf: $i > $i > $i > $i ).
thf(func_def_68,type,
inj_h: $i > $i > $i > $i > $i > $i ).
thf(func_def_69,type,
e_in: $i > ( $i > $o ) > $i > $i ).
thf(func_def_70,type,
out: $i > ( $i > $o ) > $i > $i ).
thf(func_def_71,type,
d_pair: $i > $i > $i > $i > $i ).
thf(func_def_72,type,
first: $i > $i > $i > $i ).
thf(func_def_73,type,
second: $i > $i > $i > $i ).
thf(func_def_74,type,
prop1: $o > $i > $i > $i > $i > $o ).
thf(func_def_75,type,
ite: $o > $i > $i > $i > $i ).
thf(func_def_76,type,
wissel_wa: $i > $i > $i > $i > $i ).
thf(func_def_77,type,
wissel_wb: $i > $i > $i > $i > $i ).
thf(func_def_78,type,
wissel: $i > $i > $i > $i ).
thf(func_def_79,type,
changef: $i > $i > $i > $i > $i > $i ).
thf(func_def_80,type,
r_ec: $o > $o > $o ).
thf(func_def_81,type,
esti: $i > $i > $i > $o ).
thf(func_def_82,type,
empty: $i > $i > $o ).
thf(func_def_83,type,
nonempty: $i > $i > $o ).
thf(func_def_84,type,
incl: $i > $i > $i > $o ).
thf(func_def_85,type,
st_disj: $i > $i > $i > $o ).
thf(func_def_86,type,
nissetprop: $i > $i > $i > $i > $o ).
thf(func_def_87,type,
unmore: $i > $i > $i > $i ).
thf(func_def_88,type,
ecelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_89,type,
ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_90,type,
anec: $i > ( $i > $i > $o ) > $i > $o ).
thf(func_def_91,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
ectset: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_93,type,
ectelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_94,type,
ecect: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_95,type,
fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_96,type,
d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).
thf(func_def_97,type,
prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).
thf(func_def_98,type,
indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_99,type,
fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_100,type,
d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_101,type,
indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).
thf(func_def_103,type,
n_is: $i > $i > $o ).
thf(func_def_104,type,
nis: $i > $i > $o ).
thf(func_def_105,type,
n_in: $i > $i > $o ).
thf(func_def_106,type,
n_some: ( $i > $o ) > $o ).
thf(func_def_107,type,
n_all: ( $i > $o ) > $o ).
thf(func_def_108,type,
n_one: ( $i > $o ) > $o ).
thf(func_def_110,type,
cond1: $i > $o ).
thf(func_def_111,type,
cond2: $i > $o ).
thf(func_def_112,type,
i1_s: ( $i > $o ) > $i ).
thf(func_def_113,type,
d_22_prop1: $i > $o ).
thf(func_def_114,type,
d_23_prop1: $i > $o ).
thf(func_def_115,type,
d_24_prop1: $i > $o ).
thf(func_def_116,type,
d_24_prop2: $i > $i > $o ).
thf(func_def_117,type,
prop3: $i > $i > $i > $o ).
thf(func_def_118,type,
prop4: $i > $o ).
thf(func_def_119,type,
d_24_g: $i > $i ).
thf(func_def_120,type,
plus: $i > $i ).
thf(func_def_121,type,
n_pl: $i > $i > $i ).
thf(func_def_124,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_125,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_127,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_128,type,
vIMP: $o > $o > $o ).
thf(func_def_129,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_137,type,
vAND: $o > $o > $o ).
thf(func_def_138,type,
vOR: $o > $o > $o ).
thf(func_def_139,type,
vNOT: $o > $o ).
thf(func_def_140,type,
sK0: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_141,type,
sK1: ( $i > $o ) > $i ).
thf(func_def_142,type,
sK2: $i > $i > $i > $i ).
thf(func_def_143,type,
sK3: $i > $i ).
thf(func_def_144,type,
sK4: ( $i > $o ) > $i ).
thf(func_def_145,type,
sK5: ( $i > $o ) > $i ).
thf(func_def_146,type,
sK6: $i > $i > $i ).
thf(func_def_147,type,
sK7: $i > $i > $o ).
thf(func_def_148,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_149,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_150,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_151,type,
sK11: $i > $i > $i > $i ).
thf(func_def_152,type,
sK12: $i > $i > $o ).
thf(func_def_153,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_154,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_155,type,
sK15: ( $i > $o ) > $i ).
thf(func_def_156,type,
sK16: $i > $i > $i ).
thf(func_def_157,type,
sK17: $i > $i > $o ).
thf(func_def_158,type,
sK18: $i > $i > $o ).
thf(func_def_160,type,
sK20: $i > $i > $o ).
thf(func_def_161,type,
sK21: ( $i > $o ) > $i ).
thf(func_def_162,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_163,type,
sK23: ( $i > $o ) > $i ).
thf(func_def_164,type,
sK24: $i > $i > $o ).
thf(func_def_165,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_166,type,
sK26: $i > $i > $o ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f91,axiom,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f188,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( n_pl @ n_1 @ X0 ) @ ( ordsucc @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4c) ).
thf(f192,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ n_1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
thf(f193,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ n_1 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f192]) ).
thf(f200,plain,
( ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) )
= all_of ),
inference(rectify,[],[f2]) ).
thf(f201,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f200]) ).
thf(f221,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f311,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ n_1 @ X1 ) @ ( ordsucc @ X1 ) ) ),
inference(rectify,[],[f188]) ).
thf(f312,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ n_1 @ Y0 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(fool_elimination,[],[f311]) ).
thf(f346,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] : ( n_is @ ( ordsucc @ X1 ) @ ( n_pl @ n_1 @ X1 ) ) ),
inference(rectify,[],[f193]) ).
thf(f347,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( ordsucc @ Y0 ) @ ( n_pl @ n_1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f346]) ).
thf(f430,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f495,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( ordsucc @ Y0 ) @ ( n_pl @ n_1 @ Y0 ) ) ) ),
inference(flattening,[],[f347]) ).
thf(f559,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f430]) ).
thf(f569,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f201]) ).
thf(f594,plain,
( $true
= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( n_pl @ n_1 @ Y0 ) @ ( ordsucc @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f614,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f652,plain,
( $true
!= ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] : ( n_is @ ( ordsucc @ Y0 ) @ ( n_pl @ n_1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f495]) ).
thf(f654,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f221]) ).
thf(f671,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(definition_unfolding,[],[f569,f559]) ).
thf(f673,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f614,f654]) ).
thf(f702,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( n_pl @ n_1 @ Y0 )
@ ( ordsucc @ Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f594,f671,f673]) ).
thf(f734,plain,
( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ nat
@ ( ordsucc @ Y0 )
@ ( n_pl @ n_1 @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f652,f671,f673]) ).
thf(f974,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ordsucc @ Y0 )
= ( n_pl @ n_1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f734]) ).
thf(f975,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ordsucc @ Y0 )
= ( n_pl @ n_1 @ Y0 ) ) )
@ sK19 )
= $false ),
inference(sigma_proxy_clausification,[],[f974]) ).
thf(f976,plain,
( ( ( in @ sK19 @ nat )
=> ( ( ordsucc @ sK19 )
= ( n_pl @ n_1 @ sK19 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f975]) ).
thf(f977,plain,
( ( ( ordsucc @ sK19 )
= ( n_pl @ n_1 @ sK19 ) )
= $false ),
inference(imp_proxy_clausification,[],[f976]) ).
thf(f978,plain,
( $true
= ( in @ sK19 @ nat ) ),
inference(imp_proxy_clausification,[],[f976]) ).
thf(f979,plain,
( ( ordsucc @ sK19 )
!= ( n_pl @ n_1 @ sK19 ) ),
inference(equality_proxy_clausification,[],[f977]) ).
thf(f1028,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ n_1 @ Y0 )
= ( ordsucc @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f702]) ).
thf(f1029,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ n_1 @ Y0 )
= ( ordsucc @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1028]) ).
thf(f1030,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( ( n_pl @ n_1 @ X1 )
= ( ordsucc @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f1029]) ).
thf(f1031,plain,
! [X1: $i] :
( ( $true
= ( ( n_pl @ n_1 @ X1 )
= ( ordsucc @ X1 ) ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f1030]) ).
thf(f1032,plain,
! [X1: $i] :
( ( ( ordsucc @ X1 )
= ( n_pl @ n_1 @ X1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f1031]) ).
thf(f1115,plain,
( ( ( ordsucc @ sK19 )
!= ( ordsucc @ sK19 ) )
| ( ( in @ sK19 @ nat )
= $false ) ),
inference(superposition,[],[f979,f1032]) ).
thf(f1116,plain,
( ( in @ sK19 @ nat )
= $false ),
inference(trivial_inequality_removal,[],[f1115]) ).
thf(f1119,plain,
$true = $false,
inference(superposition,[],[f978,f1116]) ).
thf(f1121,plain,
$false,
inference(trivial_inequality_removal,[],[f1119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM641^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.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
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 12:25:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.40 % (1200102)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.40 % (1200111)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3574496495:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.40 % (1200113)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.40 % (1200113)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.61/0.40 % (1200108)lrs+10_16_si=on:nwc=1.5:random_seed=3517288707:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.40 % (1200111)Instruction limit reached!
% 0.61/0.40 % (1200111)------------------------------
% 0.61/0.40 % (1200111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (1200111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (1200111)CaDiCaL version: 2.1.3
% 0.61/0.40 % (1200111)Termination reason: Instruction limit
% 0.61/0.40 % (1200111)Termination phase: Preprocessing 3
% 0.61/0.40 % (1200111)Time elapsed: 0.007 s
% 0.61/0.40 % (1200111)Peak memory usage: 10 MB
% 0.61/0.40 % (1200111)Instructions burned: 27 (million)
% 0.61/0.40 % (1200107)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=333542336:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.40 % (1200110)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3219577499:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.61/0.40 % (1200109)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=120737929:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.40 % (1200112)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3719411864:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.40 % (1200113)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2373033158:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.40 % (1200109)Instruction limit reached!
% 0.61/0.40 % (1200109)------------------------------
% 0.61/0.40 % (1200109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (1200109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (1200109)CaDiCaL version: 2.1.3
% 0.61/0.40 % (1200109)Termination reason: Instruction limit
% 0.61/0.40 % (1200109)Termination phase: shuffling
% 0.61/0.40 % (1200109)Time elapsed: 0.004 s
% 0.61/0.40 % (1200109)Peak memory usage: 10 MB
% 0.61/0.40 % (1200109)Instructions burned: 7 (million)
% 0.61/0.40 % (1200108)Instruction limit reached!
% 0.61/0.40 % (1200108)------------------------------
% 0.61/0.40 % (1200108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (1200108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (1200108)CaDiCaL version: 2.1.3
% 0.61/0.40 % (1200108)Termination reason: Instruction limit
% 0.61/0.40 % (1200108)Termination phase: Property scanning
% 0.61/0.40 % (1200108)Time elapsed: 0.009 s
% 0.61/0.40 % (1200108)Peak memory usage: 10 MB
% 0.61/0.40 % (1200108)Instructions burned: 18 (million)
% 0.61/0.40 % (1200120)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1896754020:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.40 % (1200120)Instruction limit reached!
% 0.61/0.40 % (1200120)------------------------------
% 0.61/0.40 % (1200120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (1200120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (1200120)CaDiCaL version: 2.1.3
% 0.61/0.40 % (1200120)Termination reason: Instruction limit
% 0.61/0.40 % (1200120)Termination phase: shuffling
% 0.61/0.40 % (1200120)Time elapsed: 0.001 s
% 0.61/0.40 % (1200120)Peak memory usage: 10 MB
% 0.61/0.40 % (1200120)Instructions burned: 6 (million)
% 0.61/0.40 % (1200122)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2925669310:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.43 % (1200123)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.43 % (1200122)Instruction limit reached!
% 0.61/0.43 % (1200122)------------------------------
% 0.61/0.43 % (1200122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (1200122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (1200122)CaDiCaL version: 2.1.3
% 0.61/0.43 % (1200122)Termination reason: Instruction limit
% 0.61/0.43 % (1200122)Termination phase: shuffling
% 0.61/0.43 % (1200122)Time elapsed: 0.003 s
% 0.61/0.43 % (1200122)Peak memory usage: 10 MB
% 0.61/0.43 % (1200122)Instructions burned: 7 (million)
% 0.61/0.43 % (1200123)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1363791077:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.43 % (1200107)Instruction limit reached!
% 0.61/0.43 % (1200107)------------------------------
% 0.61/0.43 % (1200107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (1200107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (1200107)CaDiCaL version: 2.1.3
% 0.61/0.43 % (1200107)Termination reason: Instruction limit
% 0.61/0.43 % (1200107)Termination phase: Function definition elimination
% 0.61/0.43 % (1200107)Time elapsed: 0.029 s
% 0.61/0.43 % (1200107)Peak memory usage: 11 MB
% 0.61/0.43 % (1200107)Instructions burned: 91 (million)
% 0.61/0.43 % (1200123)Instruction limit reached!
% 0.61/0.43 % (1200123)------------------------------
% 0.61/0.43 % (1200123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (1200123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (1200123)CaDiCaL version: 2.1.3
% 0.61/0.43 % (1200123)Termination reason: Instruction limit
% 0.61/0.43 % (1200123)Termination phase: shuffling
% 0.61/0.43 % (1200123)Time elapsed: 0.004 s
% 0.61/0.43 % (1200123)Peak memory usage: 10 MB
% 0.61/0.43 % (1200123)Instructions burned: 8 (million)
% 0.61/0.43 % (1200112)Instruction limit reached!
% 0.61/0.43 % (1200112)------------------------------
% 0.61/0.43 % (1200112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (1200112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (1200112)CaDiCaL version: 2.1.3
% 0.61/0.43 % (1200112)Termination reason: Instruction limit
% 0.61/0.43 % (1200112)Termination phase: Function definition elimination
% 0.61/0.43 % (1200112)Time elapsed: 0.033 s
% 0.61/0.43 % (1200112)Peak memory usage: 11 MB
% 0.61/0.43 % (1200112)Instructions burned: 76 (million)
% 0.61/0.43 % (1200129)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1520008058:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.43 % (1200127)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.61/0.43 % (1200127)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.43 % (1200127)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1673820154:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.43 % (1200125)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1410550006:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.43 % (1200131)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.43 % (1200130)lrs+10_1_si=on:cs=on:random_seed=963553423:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.43 % (1200131)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3651131880:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.43 % (1200130)Instruction limit reached!
% 0.61/0.43 % (1200130)------------------------------
% 0.61/0.43 % (1200130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200130)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200130)Termination reason: Instruction limit
% 0.61/0.46 % (1200130)Termination phase: shuffling
% 0.61/0.46 % (1200130)Time elapsed: 0.004 s
% 0.61/0.46 % (1200130)Peak memory usage: 10 MB
% 0.61/0.46 % (1200130)Instructions burned: 8 (million)
% 0.61/0.46 % (1200131)Instruction limit reached!
% 0.61/0.46 % (1200131)------------------------------
% 0.61/0.46 % (1200131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200131)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200131)Termination reason: Instruction limit
% 0.61/0.46 % (1200131)Termination phase: shuffling
% 0.61/0.46 % (1200131)Time elapsed: 0.002 s
% 0.61/0.46 % (1200131)Peak memory usage: 10 MB
% 0.61/0.46 % (1200131)Instructions burned: 3 (million)
% 0.61/0.46 % (1200127)Instruction limit reached!
% 0.61/0.46 % (1200127)------------------------------
% 0.61/0.46 % (1200127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200127)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200127)Termination reason: Instruction limit
% 0.61/0.46 % (1200127)Termination phase: Clausification
% 0.61/0.46 % (1200127)Time elapsed: 0.013 s
% 0.61/0.46 % (1200127)Peak memory usage: 10 MB
% 0.61/0.46 % (1200127)Instructions burned: 30 (million)
% 0.61/0.46 % (1200129)Instruction limit reached!
% 0.61/0.46 % (1200129)------------------------------
% 0.61/0.46 % (1200129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200129)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200129)Termination reason: Instruction limit
% 0.61/0.46 % (1200129)Termination phase: Function definition elimination
% 0.61/0.46 % (1200129)Time elapsed: 0.020 s
% 0.61/0.46 % (1200129)Peak memory usage: 10 MB
% 0.61/0.46 % (1200129)Instructions burned: 89 (million)
% 0.61/0.46 % (1200125)Instruction limit reached!
% 0.61/0.46 % (1200125)------------------------------
% 0.61/0.46 % (1200125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200125)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200125)Termination reason: Instruction limit
% 0.61/0.46 % (1200125)Termination phase: shuffling
% 0.61/0.46 % (1200125)Time elapsed: 0.011 s
% 0.61/0.46 % (1200125)Peak memory usage: 10 MB
% 0.61/0.46 % (1200125)Instructions burned: 12 (million)
% 0.61/0.46 % (1200113)Instruction limit reached!
% 0.61/0.46 % (1200113)------------------------------
% 0.61/0.46 % (1200113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200113)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200113)Termination reason: Instruction limit
% 0.61/0.46 % (1200113)Termination phase: Property scanning
% 0.61/0.46 % (1200113)Time elapsed: 0.065 s
% 0.61/0.46 % (1200113)Peak memory usage: 12 MB
% 0.61/0.46 % (1200113)Instructions burned: 159 (million)
% 0.61/0.46 % (1200140)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=611546092:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.46 % (1200137)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3642601270:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.61/0.46 % (1200140)Instruction limit reached!
% 0.61/0.46 % (1200140)------------------------------
% 0.61/0.46 % (1200140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (1200140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (1200140)CaDiCaL version: 2.1.3
% 0.61/0.46 % (1200140)Termination reason: Instruction limit
% 0.61/0.46 % (1200140)Termination phase: Property scanning
% 0.61/0.46 % (1200140)Time elapsed: 0.004 s
% 0.61/0.46 % (1200140)Peak memory usage: 10 MB
% 0.61/0.46 % (1200140)Instructions burned: 16 (million)
% 0.61/0.46 % (1200138)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=411630895:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.61/0.46 % (1200139)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1451593776:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.61/0.47 % (1200141)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=240924235:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.61/0.47 % (1200142)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=878007055:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.47 % (1200146)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3364713957:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.61/0.47 % (1200146)Instruction limit reached!
% 0.61/0.47 % (1200146)------------------------------
% 0.61/0.47 % (1200146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200146)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200146)Termination reason: Instruction limit
% 0.61/0.47 % (1200146)Termination phase: shuffling
% 0.61/0.47 % (1200146)Time elapsed: 0.001 s
% 0.61/0.47 % (1200146)Peak memory usage: 10 MB
% 0.61/0.47 % (1200146)Instructions burned: 3 (million)
% 0.61/0.47 % (1200139)Instruction limit reached!
% 0.61/0.47 % (1200139)------------------------------
% 0.61/0.47 % (1200139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200139)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200139)Termination reason: Instruction limit
% 0.61/0.47 % (1200139)Termination phase: SInE selection
% 0.61/0.47 % (1200139)Time elapsed: 0.012 s
% 0.61/0.47 % (1200139)Peak memory usage: 10 MB
% 0.61/0.47 % (1200139)Instructions burned: 26 (million)
% 0.61/0.47 % (1200142)Instruction limit reached!
% 0.61/0.47 % (1200142)------------------------------
% 0.61/0.47 % (1200142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200142)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200142)Termination reason: Instruction limit
% 0.61/0.47 % (1200142)Termination phase: shuffling
% 0.61/0.47 % (1200142)Time elapsed: 0.007 s
% 0.61/0.47 % (1200142)Peak memory usage: 10 MB
% 0.61/0.47 % (1200142)Instructions burned: 15 (million)
% 0.61/0.47 % (1200138)Refutation not found, incomplete strategy
% 0.61/0.47 % (1200138)------------------------------
% 0.61/0.47 % (1200138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200138)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200138)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.47 % (1200138)Time elapsed: 0.017 s
% 0.61/0.47 % (1200138)Peak memory usage: 12 MB
% 0.61/0.47 % (1200138)Instructions burned: 35 (million)
% 0.61/0.47 % (1200138)------------------------------
% 0.61/0.47 % (1200138)------------------------------
% 0.61/0.47 % (1200137)Instruction limit reached!
% 0.61/0.47 % (1200137)------------------------------
% 0.61/0.47 % (1200137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200137)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200137)Termination reason: Instruction limit
% 0.61/0.47 % (1200137)Termination phase: Saturation
% 0.61/0.47 % (1200137)Time elapsed: 0.020 s
% 0.61/0.47 % (1200137)Peak memory usage: 12 MB
% 0.61/0.47 % (1200137)Instructions burned: 39 (million)
% 0.61/0.47 % (1200151)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2336301084:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.61/0.47 % (1200151)Instruction limit reached!
% 0.61/0.47 % (1200151)------------------------------
% 0.61/0.47 % (1200151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200151)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200151)Termination reason: Instruction limit
% 0.61/0.47 % (1200151)Termination phase: Property scanning
% 0.61/0.47 % (1200151)Time elapsed: 0.006 s
% 0.61/0.47 % (1200151)Peak memory usage: 10 MB
% 0.61/0.47 % (1200151)Instructions burned: 29 (million)
% 0.61/0.47 % (1200152)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=998962785:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.61/0.47 % (1200154)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.61/0.47 % (1200154)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.61/0.47 % (1200153)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2961848430:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.61/0.47 % (1200155)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.61/0.47 % (1200154)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=4042815501:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.47 % (1200157)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4084908917:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.61/0.47 % (1200155)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1067629230:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.61/0.47 % (1200155)Instruction limit reached!
% 0.61/0.47 % (1200155)------------------------------
% 0.61/0.47 % (1200155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200155)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200155)Termination reason: Instruction limit
% 0.61/0.47 % (1200155)Termination phase: shuffling
% 0.61/0.47 % (1200155)Time elapsed: 0.004 s
% 0.61/0.47 % (1200155)Peak memory usage: 10 MB
% 0.61/0.47 % (1200155)Instructions burned: 9 (million)
% 0.61/0.47 % (1200154)Instruction limit reached!
% 0.61/0.47 % (1200154)------------------------------
% 0.61/0.47 % (1200154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200154)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200154)Termination reason: Instruction limit
% 0.61/0.47 % (1200154)Termination phase: shuffling
% 0.61/0.47 % (1200154)Time elapsed: 0.007 s
% 0.61/0.47 % (1200154)Peak memory usage: 10 MB
% 0.61/0.47 % (1200154)Instructions burned: 15 (million)
% 0.61/0.47 % (1200152)Instruction limit reached!
% 0.61/0.47 % (1200152)------------------------------
% 0.61/0.47 % (1200152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200152)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200152)Termination reason: Instruction limit
% 0.61/0.47 % (1200152)Termination phase: Property scanning
% 0.61/0.47 % (1200152)Time elapsed: 0.011 s
% 0.61/0.47 % (1200152)Peak memory usage: 10 MB
% 0.61/0.47 % (1200152)Instructions burned: 24 (million)
% 0.61/0.47 % (1200157)Instruction limit reached!
% 0.61/0.47 % (1200157)------------------------------
% 0.61/0.47 % (1200157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200157)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200157)Termination reason: Instruction limit
% 0.61/0.47 % (1200157)Termination phase: Property scanning
% 0.61/0.47 % (1200157)Time elapsed: 0.008 s
% 0.61/0.47 % (1200157)Peak memory usage: 11 MB
% 0.61/0.47 % (1200157)Instructions burned: 36 (million)
% 0.61/0.47 % (1200166)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1733142514:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.61/0.47 % (1200141) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1200102-1200141"...
% 0.61/0.47 % (1200163)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1104850584:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.61/0.47 % (1200164)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1122582062:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.61/0.47 % (1200165)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3290446264:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.61/0.47 % (1200141)...printing done.
% 0.61/0.47 % (1200153)Instruction limit reached!
% 0.61/0.47 % (1200153)------------------------------
% 0.61/0.47 % (1200153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200153)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200153)Termination reason: Instruction limit
% 0.61/0.47 % (1200153)Termination phase: Saturation
% 0.61/0.47 % (1200153)Time elapsed: 0.028 s
% 0.61/0.47 % (1200153)Peak memory usage: 12 MB
% 0.61/0.47 % (1200153)Instructions burned: 61 (million)
% 0.61/0.47 % (1200141)Refutation found. Thanks to Tanya!
% 0.61/0.47 % SZS status Theorem for theBenchmark
% 0.61/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.47 % (1200141)------------------------------
% 0.61/0.47 % (1200141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.47 % (1200141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.47 % (1200141)CaDiCaL version: 2.1.3
% 0.61/0.47 % (1200141)Termination reason: Refutation
% 0.61/0.47 % (1200141)Time elapsed: 0.055 s
% 0.61/0.47 % (1200141)Peak memory usage: 13 MB
% 0.61/0.47 % (1200141)Instructions burned: 103 (million)
% 0.61/0.47 % (1200102)Success in time 0.188 s
% 0.61/0.47 % Vampire exiting
%------------------------------------------------------------------------------