%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM417^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 08:19:04 AM UTC 2026
% Result : Theorem 2.66s 0.71s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20202 ( 5 ~; 0 |; 0 &;20197 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 1 con; 0-4 aty)
% Number of variables : 62 ( 62 ^; 0 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
zero: ( $i > $i ) > $i > $i ).
thf(func_def_1,type,
one: ( $i > $i ) > $i > $i ).
thf(func_def_2,type,
two: ( $i > $i ) > $i > $i ).
thf(func_def_3,type,
three: ( $i > $i ) > $i > $i ).
thf(func_def_4,type,
four: ( $i > $i ) > $i > $i ).
thf(func_def_5,type,
five: ( $i > $i ) > $i > $i ).
thf(func_def_6,type,
six: ( $i > $i ) > $i > $i ).
thf(func_def_7,type,
seven: ( $i > $i ) > $i > $i ).
thf(func_def_8,type,
eight: ( $i > $i ) > $i > $i ).
thf(func_def_9,type,
nine: ( $i > $i ) > $i > $i ).
thf(func_def_10,type,
ten: ( $i > $i ) > $i > $i ).
thf(func_def_11,type,
succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_12,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_13,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_15,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_17,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db3:
!>[X0: $tType] : X0 ).
thf(f11,axiom,
( ten
= ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',ten_ax) ).
thf(f14,axiom,
( mult
= ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',mult_ax) ).
thf(f15,conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f16,negated_conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f27,plain,
( ten
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f30,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f31,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(flattening,[],[f16]) ).
thf(f42,plain,
( ten
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f45,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f46,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f47,plain,
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f46,f45,f45,f42,f42,f45,f42,f42,f45,f45,f45,f42,f42,f42,f42]) ).
thf(f48,plain,
( ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 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@ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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@ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 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inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
$false,
inference(trivial_inequality_removal,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM417^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n001.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 12:03:05 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.26 Running first-order model finding
% 0.21/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/0.71 % (1157952)Will run a generic schedule for satisfiability detection.
% 2.66/0.71 % (1157960)dis+10_1_sil=32000:sp=arity:random_seed=3427418815:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.66/0.71 % (1157957)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1067953849_2999 on theBenchmark for (2999ds/0Mi)
% 2.66/0.71 % (1157959)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1342210362:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.66/0.71 % (1157963)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2488598415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.66/0.71 % Exception at run slice level
% 2.66/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.66/0.71 % (1157958)% WARNING: option uhcvi not known.
% 2.66/0.71 % (1157961)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=605097069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.66/0.71 % (1157961)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.66/0.71 % (1157958)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=265727494:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.66/0.71 % (1157958)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.66/0.71 % (1157958)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.66/0.71 % (1157962)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3871806231:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.66/0.71 % (1157968)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3229115850:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.66/0.71 % Exception at run slice level
% 2.66/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.66/0.71 % (1157960)Instruction limit reached!
% 2.66/0.71 % (1157960)------------------------------
% 2.66/0.71 % (1157960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157960)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157960)Termination reason: Instruction limit
% 2.66/0.71 % (1157960)Termination phase: Saturation
% 2.66/0.71 % (1157960)Time elapsed: 0.041 s
% 2.66/0.71 % (1157960)Peak memory usage: 12 MB
% 2.66/0.71 % (1157960)Instructions burned: 103 (million)
% 2.66/0.71 % (1157973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3560713019:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.66/0.71 % (1157961)Instruction limit reached!
% 2.66/0.71 % (1157961)------------------------------
% 2.66/0.71 % (1157961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157961)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157961)Termination reason: Instruction limit
% 2.66/0.71 % (1157961)Termination phase: Saturation
% 2.66/0.71 % (1157961)Time elapsed: 0.045 s
% 2.66/0.71 % (1157961)Peak memory usage: 12 MB
% 2.66/0.71 % (1157961)Instructions burned: 116 (million)
% 2.66/0.71 % (1157974)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=4210029633:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.66/0.71 % (1157974)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.66/0.71 % (1157962)Instruction limit reached!
% 2.66/0.71 % (1157962)------------------------------
% 2.66/0.71 % (1157962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157962)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157962)Termination reason: Instruction limit
% 2.66/0.71 % (1157962)Termination phase: Saturation
% 2.66/0.71 % (1157962)Time elapsed: 0.050 s
% 2.66/0.71 % (1157962)Peak memory usage: 12 MB
% 2.66/0.71 % (1157962)Instructions burned: 131 (million)
% 2.66/0.71 % (1157963)Instruction limit reached!
% 2.66/0.71 % (1157963)------------------------------
% 2.66/0.71 % (1157963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157963)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157963)Termination reason: Instruction limit
% 2.66/0.71 % (1157963)Termination phase: Saturation
% 2.66/0.71 % (1157974)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.66/0.71 % (1157963)Time elapsed: 0.062 s
% 2.66/0.71 % (1157963)Peak memory usage: 13 MB
% 2.66/0.71 % (1157963)Instructions burned: 161 (million)
% 2.66/0.71 % (1157976)ott-21_1_sil=16000:fs=off:random_seed=1356190568:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/0.71 % (1157979)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1341648545:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.66/0.71 % (1157978)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3056873819:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.66/0.71 % Exception at run slice level
% 2.66/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.66/0.71 % (1157973)Instruction limit reached!
% 2.66/0.71 % (1157973)------------------------------
% 2.66/0.71 % (1157973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157973)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157973)Termination reason: Instruction limit
% 2.66/0.71 % (1157973)Termination phase: Saturation
% 2.66/0.71 % (1157973)Time elapsed: 0.052 s
% 2.66/0.71 % (1157973)Peak memory usage: 12 MB
% 2.66/0.71 % (1157973)Instructions burned: 133 (million)
% 2.66/0.71 % (1157983)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1243125028:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.66/0.71 % (1157984)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2208507593:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.66/0.71 % Exception at run slice level
% 2.66/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.66/0.71 % (1157987)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=3510928632:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 2.66/0.71 % (1157987)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.66/0.71 % (1157976)Instruction limit reached!
% 2.66/0.71 % (1157976)------------------------------
% 2.66/0.71 % (1157976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157976)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157976)Termination reason: Instruction limit
% 2.66/0.71 % (1157976)Termination phase: Saturation
% 2.66/0.71 % (1157976)Time elapsed: 0.070 s
% 2.66/0.71 % (1157976)Peak memory usage: 13 MB
% 2.66/0.71 % (1157976)Instructions burned: 180 (million)
% 2.66/0.71 % (1157989)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3022467239:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 2.66/0.71 % (1157989)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.66/0.71 % (1157974) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157974"...
% 2.66/0.71 % (1157978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157978"...
% 2.66/0.71 % (1157983) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157983"...
% 2.66/0.71 % (1157959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157959"...
% 2.66/0.71 % (1157958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157958"...
% 2.66/0.71 % (1157987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157987"...
% 2.66/0.71 % (1157989) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157952-1157989"...
% 2.66/0.71 % (1157978)...printing done.
% 2.66/0.71 % (1157978)Refutation found. Thanks to Tanya!
% 2.66/0.71 % SZS status Theorem for theBenchmark
% 2.66/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/0.71 % (1157978)------------------------------
% 2.66/0.71 % (1157978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.71 % (1157978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.71 % (1157978)CaDiCaL version: 2.1.3
% 2.66/0.71 % (1157978)Termination reason: Refutation
% 2.66/0.71 % (1157978)Time elapsed: 0.302 s
% 2.66/0.71 % (1157978)Peak memory usage: 25 MB
% 2.66/0.71 % (1157978)Instructions burned: 512 (million)
% 2.66/0.71 % (1157952)Success in time 0.434 s
% 2.66/0.71 % Vampire exiting
%------------------------------------------------------------------------------