TSTP Solution File: NUM926^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM926^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:16:43 EDT 2024
% Result : Theorem 2.99s 0.90s
% Output : Refutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 120
% Syntax : Number of formulae : 159 ( 23 unt; 111 typ; 0 def)
% Number of atoms : 122 ( 71 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 675 ( 29 ~; 19 |; 0 &; 614 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 186 ( 186 >; 0 *; 0 +; 0 <<)
% Number of symbols : 106 ( 103 usr; 22 con; 0-3 aty)
% Number of variables : 47 ( 0 ^ 18 !; 26 ?; 47 :)
% ( 3 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
int: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
real: $tType ).
thf(type_def_9,type,
product_prod_int_int: $tType ).
thf(func_def_0,type,
int: $tType ).
thf(func_def_1,type,
nat: $tType ).
thf(func_def_2,type,
real: $tType ).
thf(func_def_3,type,
product_prod_int_int: $tType ).
thf(func_def_4,type,
div_mod_int: int > int > int ).
thf(func_def_5,type,
div_mod_nat: nat > nat > nat ).
thf(func_def_6,type,
minus_minus_int: int > int > int ).
thf(func_def_7,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_8,type,
minus_minus_real: real > real > real ).
thf(func_def_9,type,
one_one_int: int ).
thf(func_def_10,type,
one_one_nat: nat ).
thf(func_def_11,type,
one_one_real: real ).
thf(func_def_12,type,
plus_plus_int: int > int > int ).
thf(func_def_13,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_14,type,
plus_plus_real: real > real > real ).
thf(func_def_15,type,
times_times_int: int > int > int ).
thf(func_def_16,type,
times_times_nat: nat > nat > nat ).
thf(func_def_17,type,
times_times_real: real > real > real ).
thf(func_def_18,type,
zero_zero_int: int ).
thf(func_def_19,type,
zero_zero_nat: nat ).
thf(func_def_20,type,
zero_zero_real: real ).
thf(func_def_21,type,
multInv: int > int > int ).
thf(func_def_22,type,
d22set: int > int > $o ).
thf(func_def_23,type,
zfact: int > int ).
thf(func_def_24,type,
zcong: int > int > int > $o ).
thf(func_def_25,type,
zprime: int > $o ).
thf(func_def_26,type,
bit0: int > int ).
thf(func_def_27,type,
bit1: int > int ).
thf(func_def_28,type,
min: int ).
thf(func_def_29,type,
pls: int ).
thf(func_def_30,type,
number_number_of_int: int > int ).
thf(func_def_31,type,
number_number_of_nat: int > nat ).
thf(func_def_32,type,
number267125858f_real: int > real ).
thf(func_def_33,type,
ord_less_int: int > int > $o ).
thf(func_def_34,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_35,type,
ord_less_real: real > real > $o ).
thf(func_def_36,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_37,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_38,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_39,type,
power_power_int: int > nat > int ).
thf(func_def_40,type,
power_power_nat: nat > nat > nat ).
thf(func_def_41,type,
power_power_real: real > nat > real ).
thf(func_def_42,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_43,type,
legendre: int > int > int ).
thf(func_def_44,type,
quadRes: int > int > $o ).
thf(func_def_45,type,
sr: int > int > $o ).
thf(func_def_46,type,
standardRes: int > int > int ).
thf(func_def_47,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_48,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_49,type,
dvd_dvd_real: real > real > $o ).
thf(func_def_50,type,
collect_int: ( int > $o ) > int > $o ).
thf(func_def_51,type,
twoSqu919416604sum2sq: int > $o ).
thf(func_def_52,type,
twoSqu2057625106sum2sq: product_prod_int_int > int ).
thf(func_def_53,type,
inv: int > int > int ).
thf(func_def_54,type,
wset: int > int > int > $o ).
thf(func_def_55,type,
member_int: int > ( int > $o ) > $o ).
thf(func_def_56,type,
m: int ).
thf(func_def_57,type,
s1: int ).
thf(func_def_58,type,
s: int ).
thf(func_def_59,type,
t: int ).
thf(func_def_66,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_67,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_74,type,
sP2: ( nat > $o ) > nat > nat > $o ).
thf(func_def_75,type,
sP3: ( int > $o ) > int > int > $o ).
thf(func_def_76,type,
sP4: int > ( int > $o ) > int > $o ).
thf(func_def_77,type,
sK5: nat > nat > ( nat > $o ) > nat ).
thf(func_def_78,type,
sK6: ( nat > $o ) > nat > nat > nat ).
thf(func_def_79,type,
sK7: ( nat > $o ) > nat > nat > nat ).
thf(func_def_80,type,
sK8: int > int > int ).
thf(func_def_81,type,
sK9: int > int ).
thf(func_def_82,type,
sK10: int > int ).
thf(func_def_83,type,
sK11: int > int ).
thf(func_def_84,type,
sK12: int > int > int > int ).
thf(func_def_85,type,
sK13: ( int > $o ) > int > int ).
thf(func_def_86,type,
sK14: int ).
thf(func_def_87,type,
sK15: int ).
thf(func_def_88,type,
sK16: ( int > $o ) > int > int ).
thf(func_def_89,type,
sK17: nat > nat > nat ).
thf(func_def_90,type,
sK18: nat > real > real ).
thf(func_def_91,type,
sK19: ( int > $o ) > int ).
thf(func_def_92,type,
sK20: nat > nat > nat ).
thf(func_def_93,type,
sK21: nat > real > real ).
thf(func_def_94,type,
sK22: int ).
thf(func_def_95,type,
sK23: int ).
thf(func_def_96,type,
sK24: int > int > int ).
thf(func_def_97,type,
sK25: int ).
thf(func_def_98,type,
sK26: nat > nat > nat ).
thf(func_def_99,type,
sK27: int > ( int > $o ) > int ).
thf(func_def_100,type,
sK28: ( int > $o ) > int > int ).
thf(func_def_101,type,
sK29: ( nat > $o ) > nat > nat ).
thf(func_def_102,type,
sK30: int ).
thf(func_def_103,type,
sK31: int ).
thf(func_def_104,type,
sK32: int > int ).
thf(func_def_105,type,
sK33: ( nat > $o ) > nat > nat ).
thf(func_def_106,type,
sK34: int > ( int > $o ) > int > int ).
thf(func_def_107,type,
sK35: int > ( int > $o ) > int > int ).
thf(func_def_108,type,
sK36: ( int > $o ) > int > int > int ).
thf(func_def_109,type,
sK37: ( int > $o ) > int > int > int ).
thf(func_def_110,type,
sK38: ( nat > nat ) > nat ).
thf(func_def_111,type,
sK39: ( nat > nat ) > nat ).
thf(func_def_112,type,
sK40: int > ( int > $o ) > int ).
thf(func_def_113,type,
sK41: int ).
thf(func_def_114,type,
sK42: int > int > int ).
thf(func_def_115,type,
sK43: nat > ( nat > $o ) > nat > nat ).
thf(func_def_116,type,
sK44: ( int > $o ) > int > int ).
thf(func_def_117,type,
sK45: int > int > int ).
thf(func_def_119,type,
ph47:
!>[X0: $tType] : X0 ).
thf(f7541,plain,
$false,
inference(subsumption_resolution,[],[f7540,f7500]) ).
thf(f7500,plain,
( t
!= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(trivial_inequality_removal,[],[f7489]) ).
thf(f7489,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) )
| ( t
!= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) ),
inference(superposition,[],[f6542,f7029]) ).
thf(f7029,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) )
= ( plus_plus_int @ ( power_power_int @ sK30 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ sK31 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) )
| ( t
!= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) ),
inference(definition_unfolding,[],[f6046,f6431,f5953,f6431,f5953,f5953]) ).
thf(f5953,plain,
pls = zero_zero_int,
inference(cnf_transformation,[],[f1549]) ).
thf(f1549,plain,
pls = zero_zero_int,
inference(fool_elimination,[],[f359]) ).
thf(f359,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_358_Pls__def) ).
thf(f6431,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(definition_unfolding,[],[f5022,f5953]) ).
thf(f5022,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(cnf_transformation,[],[f2622]) ).
thf(f2622,plain,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
inference(fool_elimination,[],[f264]) ).
thf(f264,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_263_numeral__1__eq__1) ).
thf(f6046,plain,
( ( one_one_int != t )
| ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK30 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK31 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4777]) ).
thf(f4777,plain,
( ( one_one_int != t )
| ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK30 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK31 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f4222,f4776]) ).
thf(f4776,plain,
( ? [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
=> ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK30 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK31 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f4222,plain,
( ( one_one_int != t )
| ? [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
inference(ennf_transformation,[],[f3241]) ).
thf(f3241,plain,
( ( one_one_int = t )
=> ? [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
thf(f6542,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) )
!= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) ),
inference(definition_unfolding,[],[f5047,f5953,f6431,f5953,f5953]) ).
thf(f5047,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
!= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(cnf_transformation,[],[f4513]) ).
thf(f4513,plain,
! [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
!= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(ennf_transformation,[],[f2908]) ).
thf(f2908,plain,
~ ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(fool_elimination,[],[f2907]) ).
thf(f2907,plain,
~ ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
inference(rectify,[],[f1200]) ).
thf(f1200,negated_conjecture,
~ ? [X1: int,X0: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
inference(negated_conjecture,[],[f1199]) ).
thf(f1199,conjecture,
? [X1: int,X0: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',conj_0) ).
thf(f7540,plain,
( t
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ),
inference(subsumption_resolution,[],[f7539,f7188]) ).
thf(f7188,plain,
( ( ord_less_eq_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
= $true ),
inference(definition_unfolding,[],[f6362,f6431]) ).
thf(f6362,plain,
( ( ord_less_eq_int @ one_one_int @ t )
= $true ),
inference(cnf_transformation,[],[f3047]) ).
thf(f3047,plain,
( ( ord_less_eq_int @ one_one_int @ t )
= $true ),
inference(fool_elimination,[],[f3046]) ).
thf(f3046,plain,
ord_less_eq_int @ one_one_int @ t,
inference(rectify,[],[f1]) ).
thf(f1,axiom,
ord_less_eq_int @ one_one_int @ t,
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_0_tpos) ).
thf(f7539,plain,
( ( ( ord_less_eq_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
!= $true )
| ( t
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) ),
inference(trivial_inequality_removal,[],[f7532]) ).
thf(f7532,plain,
( ( $true != $true )
| ( ( ord_less_eq_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
!= $true )
| ( t
= ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) ),
inference(superposition,[],[f7501,f4959]) ).
thf(f4959,plain,
! [X0: int,X1: int] :
( ( ( ord_less_int @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( ord_less_eq_int @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f3959]) ).
thf(f3959,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( $true
!= ( ord_less_eq_int @ X1 @ X0 ) )
| ( ( ord_less_int @ X1 @ X0 )
= $true ) ),
inference(flattening,[],[f3958]) ).
thf(f3958,plain,
! [X0: int,X1: int] :
( ( ( ord_less_int @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( ord_less_eq_int @ X1 @ X0 ) ) ),
inference(ennf_transformation,[],[f2006]) ).
thf(f2006,plain,
! [X0: int,X1: int] :
( ( $true
= ( ord_less_eq_int @ X1 @ X0 ) )
=> ( ( X0 != X1 )
=> ( ( ord_less_int @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f2005]) ).
thf(f2005,plain,
! [X0: int,X1: int] :
( ( ord_less_eq_int @ X1 @ X0 )
=> ( ( X0 != X1 )
=> ( ord_less_int @ X1 @ X0 ) ) ),
inference(rectify,[],[f571]) ).
thf(f571,axiom,
! [X316: int,X315: int] :
( ( ord_less_eq_int @ X315 @ X316 )
=> ( ( X315 != X316 )
=> ( ord_less_int @ X315 @ X316 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_570_order__le__neq__implies__less) ).
thf(f7501,plain,
( ( ord_less_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
!= $true ),
inference(trivial_inequality_removal,[],[f7488]) ).
thf(f7488,plain,
( ( ( ord_less_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
!= $true )
| ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) )
!= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) ) ) ),
inference(superposition,[],[f6542,f6807]) ).
thf(f6807,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) )
= ( plus_plus_int @ ( power_power_int @ sK23 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ ( power_power_int @ sK22 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) )
| ( ( ord_less_int @ ( number_number_of_int @ ( bit1 @ zero_zero_int ) ) @ t )
!= $true ) ),
inference(definition_unfolding,[],[f5583,f5953,f6431,f5953,f5953,f6431]) ).
thf(f5583,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK23 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK22 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( ( ord_less_int @ one_one_int @ t )
!= $true ) ),
inference(cnf_transformation,[],[f4684]) ).
thf(f4684,plain,
( ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK23 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK22 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( ( ord_less_int @ one_one_int @ t )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f4512,f4683]) ).
thf(f4683,plain,
( ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
=> ( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ sK23 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ sK22 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f4512,plain,
( ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( ( ord_less_int @ one_one_int @ t )
!= $true ) ),
inference(ennf_transformation,[],[f1731]) ).
thf(f1731,plain,
( ( ( ord_less_int @ one_one_int @ t )
= $true )
=> ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
inference(fool_elimination,[],[f1730]) ).
thf(f1730,plain,
( ( ord_less_int @ one_one_int @ t )
=> ? [X0: int,X1: int] :
( ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int )
= ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ord_less_int @ one_one_int @ t )
=> ? [X1: int,X0: int] :
( ( plus_plus_int @ ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM926^3 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:11:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.7OKveoXIjb/Vampire---4.8_25262
% 0.22/0.44 % (25520)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.45 % (25517)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.45 % (25515)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.45 % (25514)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.45 % (25518)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.45 % (25516)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.22/0.45 % (25519)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.45 % (25517)Instruction limit reached!
% 0.22/0.45 % (25517)------------------------------
% 0.22/0.45 % (25517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (25517)Termination reason: Unknown
% 0.22/0.45 % (25517)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (25517)Memory used [KB]: 2558
% 0.22/0.45 % (25517)Time elapsed: 0.004 s
% 0.22/0.45 % (25517)Instructions burned: 2 (million)
% 0.22/0.45 % (25517)------------------------------
% 0.22/0.45 % (25517)------------------------------
% 0.22/0.45 % (25520)Instruction limit reached!
% 0.22/0.45 % (25520)------------------------------
% 0.22/0.45 % (25520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (25520)Termination reason: Unknown
% 0.22/0.45 % (25520)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (25520)Memory used [KB]: 3198
% 0.22/0.45 % (25520)Time elapsed: 0.009 s
% 0.22/0.45 % (25520)Instructions burned: 20 (million)
% 0.22/0.45 % (25520)------------------------------
% 0.22/0.45 % (25520)------------------------------
% 0.22/0.45 % (25518)Instruction limit reached!
% 0.22/0.45 % (25518)------------------------------
% 0.22/0.45 % (25518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (25518)Termination reason: Unknown
% 0.22/0.45 % (25518)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (25518)Memory used [KB]: 2558
% 0.22/0.45 % (25518)Time elapsed: 0.004 s
% 0.22/0.45 % (25518)Instructions burned: 2 (million)
% 0.22/0.45 % (25518)------------------------------
% 0.22/0.45 % (25518)------------------------------
% 0.22/0.45 % (25515)Instruction limit reached!
% 0.22/0.45 % (25515)------------------------------
% 0.22/0.45 % (25515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (25515)Termination reason: Unknown
% 0.22/0.45 % (25515)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (25515)Memory used [KB]: 2686
% 0.22/0.45 % (25515)Time elapsed: 0.006 s
% 0.22/0.45 % (25515)Instructions burned: 4 (million)
% 0.22/0.45 % (25515)------------------------------
% 0.22/0.45 % (25515)------------------------------
% 0.22/0.46 % (25521)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.46 % (25524)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.22/0.46 % (25521)Instruction limit reached!
% 0.22/0.46 % (25521)------------------------------
% 0.22/0.46 % (25521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (25521)Termination reason: Unknown
% 0.22/0.46 % (25521)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (25521)Memory used [KB]: 2558
% 0.22/0.46 % (25521)Time elapsed: 0.005 s
% 0.22/0.46 % (25521)Instructions burned: 3 (million)
% 0.22/0.46 % (25521)------------------------------
% 0.22/0.46 % (25521)------------------------------
% 0.22/0.47 % (25525)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.22/0.47 % (25527)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.22/0.47 % (25526)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.47 % (25524)Instruction limit reached!
% 0.22/0.47 % (25524)------------------------------
% 0.22/0.47 % (25524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (25524)Termination reason: Unknown
% 0.22/0.47 % (25524)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (25524)Memory used [KB]: 3709
% 0.22/0.47 % (25524)Time elapsed: 0.013 s
% 0.22/0.47 % (25524)Instructions burned: 38 (million)
% 0.22/0.47 % (25524)------------------------------
% 0.22/0.47 % (25524)------------------------------
% 0.22/0.47 % (25516)Instruction limit reached!
% 0.22/0.47 % (25516)------------------------------
% 0.22/0.47 % (25516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (25516)Termination reason: Unknown
% 0.22/0.47 % (25516)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (25516)Memory used [KB]: 3454
% 0.22/0.47 % (25516)Time elapsed: 0.024 s
% 0.22/0.47 % (25516)Instructions burned: 27 (million)
% 0.22/0.47 % (25516)------------------------------
% 0.22/0.47 % (25516)------------------------------
% 0.22/0.47 % (25526)Instruction limit reached!
% 0.22/0.47 % (25526)------------------------------
% 0.22/0.47 % (25526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (25526)Termination reason: Unknown
% 0.22/0.47 % (25526)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (25526)Memory used [KB]: 2686
% 0.22/0.47 % (25526)Time elapsed: 0.006 s
% 0.22/0.47 % (25526)Instructions burned: 4 (million)
% 0.22/0.47 % (25526)------------------------------
% 0.22/0.47 % (25526)------------------------------
% 0.22/0.48 % (25531)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.48 % (25534)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2998ds/16Mi)
% 0.22/0.48 % (25525)Instruction limit reached!
% 0.22/0.48 % (25525)------------------------------
% 0.22/0.48 % (25525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (25525)Termination reason: Unknown
% 0.22/0.48 % (25525)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (25525)Memory used [KB]: 3070
% 0.22/0.48 % (25525)Time elapsed: 0.014 s
% 0.22/0.48 % (25525)Instructions burned: 16 (million)
% 0.22/0.48 % (25525)------------------------------
% 0.22/0.48 % (25525)------------------------------
% 0.22/0.48 % (25531)Instruction limit reached!
% 0.22/0.48 % (25531)------------------------------
% 0.22/0.48 % (25531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (25531)Termination reason: Unknown
% 0.22/0.48 % (25531)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (25531)Memory used [KB]: 2814
% 0.22/0.48 % (25531)Time elapsed: 0.008 s
% 0.22/0.48 % (25531)Instructions burned: 7 (million)
% 0.22/0.48 % (25531)------------------------------
% 0.22/0.48 % (25531)------------------------------
% 0.22/0.49 % (25534)Instruction limit reached!
% 0.22/0.49 % (25534)------------------------------
% 0.22/0.49 % (25534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (25534)Termination reason: Unknown
% 0.22/0.49 % (25534)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (25534)Memory used [KB]: 3070
% 0.22/0.49 % (25534)Time elapsed: 0.010 s
% 0.22/0.49 % (25534)Instructions burned: 16 (million)
% 0.22/0.49 % (25534)------------------------------
% 0.22/0.49 % (25534)------------------------------
% 0.22/0.49 % (25536)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.49 % (25535)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.49 % (25536)Instruction limit reached!
% 0.22/0.49 % (25536)------------------------------
% 0.22/0.49 % (25536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (25536)Termination reason: Unknown
% 0.22/0.49 % (25536)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (25536)Memory used [KB]: 2558
% 0.22/0.49 % (25536)Time elapsed: 0.005 s
% 0.22/0.49 % (25536)Instructions burned: 3 (million)
% 0.22/0.49 % (25536)------------------------------
% 0.22/0.49 % (25536)------------------------------
% 0.22/0.49 % (25535)Instruction limit reached!
% 0.22/0.49 % (25535)------------------------------
% 0.22/0.49 % (25535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (25535)Termination reason: Unknown
% 0.22/0.49 % (25535)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (25535)Memory used [KB]: 2558
% 0.22/0.49 % (25535)Time elapsed: 0.005 s
% 0.22/0.49 % (25535)Instructions burned: 3 (million)
% 0.22/0.49 % (25535)------------------------------
% 0.22/0.49 % (25535)------------------------------
% 0.22/0.49 % (25538)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2998ds/7Mi)
% 0.22/0.50 % (25540)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.50 % (25538)Instruction limit reached!
% 0.22/0.50 % (25538)------------------------------
% 0.22/0.50 % (25538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (25538)Termination reason: Unknown
% 0.22/0.50 % (25538)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (25538)Memory used [KB]: 2814
% 0.22/0.50 % (25538)Time elapsed: 0.005 s
% 0.22/0.50 % (25538)Instructions burned: 7 (million)
% 0.22/0.50 % (25538)------------------------------
% 0.22/0.50 % (25538)------------------------------
% 0.22/0.50 % (25540)Instruction limit reached!
% 0.22/0.50 % (25540)------------------------------
% 0.22/0.50 % (25540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (25540)Termination reason: Unknown
% 0.22/0.50 % (25540)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (25540)Memory used [KB]: 2686
% 0.22/0.50 % (25540)Time elapsed: 0.006 s
% 0.22/0.50 % (25540)Instructions burned: 4 (million)
% 0.22/0.50 % (25540)------------------------------
% 0.22/0.50 % (25540)------------------------------
% 0.22/0.50 % (25543)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2998ds/4Mi)
% 0.22/0.51 % (25543)Instruction limit reached!
% 0.22/0.51 % (25543)------------------------------
% 0.22/0.51 % (25543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (25543)Termination reason: Unknown
% 0.22/0.51 % (25543)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (25543)Memory used [KB]: 2686
% 0.22/0.51 % (25543)Time elapsed: 0.006 s
% 0.22/0.51 % (25543)Instructions burned: 5 (million)
% 0.22/0.51 % (25543)------------------------------
% 0.22/0.51 % (25543)------------------------------
% 0.22/0.51 % (25548)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2998ds/710Mi)
% 0.22/0.51 % (25551)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 0.22/0.51 % (25551)Instruction limit reached!
% 0.22/0.51 % (25551)------------------------------
% 0.22/0.51 % (25551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (25551)Termination reason: Unknown
% 0.22/0.51 % (25551)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (25551)Memory used [KB]: 2814
% 0.22/0.51 % (25547)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2998ds/18Mi)
% 0.22/0.51 % (25551)Time elapsed: 0.005 s
% 0.22/0.51 % (25551)Instructions burned: 7 (million)
% 0.22/0.51 % (25551)------------------------------
% 0.22/0.51 % (25551)------------------------------
% 0.22/0.52 % (25563)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2998ds/5Mi)
% 0.87/0.52 % (25563)Instruction limit reached!
% 0.87/0.52 % (25563)------------------------------
% 0.87/0.52 % (25563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.87/0.52 % (25563)Termination reason: Unknown
% 0.87/0.52 % (25563)Termination phase: shuffling
% 0.87/0.52
% 0.87/0.52 % (25563)Memory used [KB]: 2686
% 0.87/0.52 % (25563)Time elapsed: 0.004 s
% 0.87/0.52 % (25563)Instructions burned: 6 (million)
% 0.87/0.52 % (25563)------------------------------
% 0.87/0.52 % (25563)------------------------------
% 0.87/0.52 % (25561)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2998ds/21Mi)
% 0.87/0.52 % (25547)Instruction limit reached!
% 0.87/0.52 % (25547)------------------------------
% 0.87/0.52 % (25547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.87/0.52 % (25547)Termination reason: Unknown
% 0.87/0.52 % (25547)Termination phase: shuffling
% 0.87/0.52
% 0.87/0.52 % (25547)Memory used [KB]: 3198
% 0.87/0.52 % (25547)Time elapsed: 0.016 s
% 0.87/0.52 % (25547)Instructions burned: 19 (million)
% 0.87/0.52 % (25547)------------------------------
% 0.87/0.52 % (25547)------------------------------
% 0.87/0.53 % (25568)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 0.87/0.53 % (25555)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2998ds/902Mi)
% 0.87/0.53 % (25568)Instruction limit reached!
% 0.87/0.53 % (25568)------------------------------
% 0.87/0.53 % (25568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.87/0.53 % (25568)Termination reason: Unknown
% 0.87/0.53 % (25568)Termination phase: shuffling
% 0.87/0.53
% 0.87/0.53 % (25568)Memory used [KB]: 2814
% 0.87/0.53 % (25568)Time elapsed: 0.005 s
% 0.87/0.53 % (25568)Instructions burned: 8 (million)
% 0.87/0.53 % (25568)------------------------------
% 0.87/0.53 % (25568)------------------------------
% 0.87/0.54 % (25561)Instruction limit reached!
% 0.87/0.54 % (25561)------------------------------
% 0.87/0.54 % (25561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.87/0.54 % (25561)Termination reason: Unknown
% 0.87/0.54 % (25561)Termination phase: shuffling
% 0.87/0.54
% 0.87/0.54 % (25561)Memory used [KB]: 3326
% 0.87/0.54 % (25561)Time elapsed: 0.017 s
% 0.87/0.54 % (25561)Instructions burned: 21 (million)
% 0.87/0.54 % (25561)------------------------------
% 0.87/0.54 % (25561)------------------------------
% 0.87/0.54 % (25569)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 1.02/0.54 % (25575)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2998ds/779Mi)
% 1.02/0.55 % (25581)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2998ds/19Mi)
% 1.02/0.56 % (25514)Instruction limit reached!
% 1.02/0.56 % (25514)------------------------------
% 1.02/0.56 % (25514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.56 % (25514)Termination reason: Unknown
% 1.02/0.56 % (25514)Termination phase: Property scanning
% 1.02/0.56
% 1.02/0.56 % (25514)Memory used [KB]: 6012
% 1.02/0.56 % (25514)Time elapsed: 0.113 s
% 1.02/0.56 % (25514)Instructions burned: 184 (million)
% 1.02/0.56 % (25514)------------------------------
% 1.02/0.56 % (25514)------------------------------
% 1.02/0.57 % (25581)Instruction limit reached!
% 1.02/0.57 % (25581)------------------------------
% 1.02/0.57 % (25581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.57 % (25581)Termination reason: Unknown
% 1.02/0.57 % (25581)Termination phase: shuffling
% 1.02/0.57
% 1.02/0.57 % (25581)Memory used [KB]: 3198
% 1.02/0.57 % (25581)Time elapsed: 0.014 s
% 1.02/0.57 % (25581)Instructions burned: 20 (million)
% 1.02/0.57 % (25581)------------------------------
% 1.02/0.57 % (25581)------------------------------
% 1.02/0.57 % (25594)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 1.02/0.58 % (25598)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 1.02/0.59 % (25598)Instruction limit reached!
% 1.02/0.59 % (25598)------------------------------
% 1.02/0.59 % (25598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.59 % (25598)Termination reason: Unknown
% 1.02/0.59 % (25598)Termination phase: shuffling
% 1.02/0.59
% 1.02/0.59 % (25598)Memory used [KB]: 3198
% 1.02/0.59 % (25598)Time elapsed: 0.010 s
% 1.02/0.59 % (25598)Instructions burned: 19 (million)
% 1.02/0.59 % (25598)------------------------------
% 1.02/0.59 % (25598)------------------------------
% 1.02/0.59 % (25519)Instruction limit reached!
% 1.02/0.59 % (25519)------------------------------
% 1.02/0.59 % (25519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.59 % (25519)Termination reason: Unknown
% 1.02/0.59 % (25519)Termination phase: Saturation
% 1.02/0.59
% 1.02/0.59 % (25519)Memory used [KB]: 10618
% 1.02/0.59 % (25519)Time elapsed: 0.147 s
% 1.02/0.59 % (25519)Instructions burned: 277 (million)
% 1.02/0.59 % (25519)------------------------------
% 1.02/0.59 % (25519)------------------------------
% 1.02/0.60 % (25614)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2997ds/3Mi)
% 1.02/0.60 % (25614)Instruction limit reached!
% 1.02/0.60 % (25614)------------------------------
% 1.02/0.60 % (25614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.60 % (25614)Termination reason: Unknown
% 1.02/0.60 % (25614)Termination phase: shuffling
% 1.02/0.60
% 1.02/0.60 % (25614)Memory used [KB]: 2686
% 1.02/0.60 % (25614)Time elapsed: 0.004 s
% 1.02/0.60 % (25614)Instructions burned: 4 (million)
% 1.02/0.60 % (25614)------------------------------
% 1.02/0.60 % (25614)------------------------------
% 1.02/0.60 % (25618)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2997ds/30Mi)
% 1.02/0.61 % (25622)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2997ds/127Mi)
% 1.02/0.62 % (25618)Instruction limit reached!
% 1.02/0.62 % (25618)------------------------------
% 1.02/0.62 % (25618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.02/0.62 % (25618)Termination reason: Unknown
% 1.02/0.62 % (25618)Termination phase: shuffling
% 1.02/0.62
% 1.02/0.62 % (25618)Memory used [KB]: 3582
% 1.02/0.62 % (25618)Time elapsed: 0.017 s
% 1.02/0.62 % (25618)Instructions burned: 31 (million)
% 1.02/0.62 % (25618)------------------------------
% 1.02/0.62 % (25618)------------------------------
% 1.02/0.63 % (25644)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2997ds/100Mi)
% 1.46/0.66 % (25622)Instruction limit reached!
% 1.46/0.66 % (25622)------------------------------
% 1.46/0.66 % (25622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.66 % (25622)Termination reason: Unknown
% 1.46/0.66 % (25622)Termination phase: SInE selection
% 1.46/0.66
% 1.46/0.66 % (25622)Memory used [KB]: 4605
% 1.46/0.66 % (25622)Time elapsed: 0.047 s
% 1.46/0.66 % (25622)Instructions burned: 128 (million)
% 1.46/0.66 % (25622)------------------------------
% 1.46/0.66 % (25622)------------------------------
% 1.46/0.66 % (25644)Instruction limit reached!
% 1.46/0.66 % (25644)------------------------------
% 1.46/0.66 % (25644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.66 % (25644)Termination reason: Unknown
% 1.46/0.66 % (25644)Termination phase: shuffling
% 1.46/0.66
% 1.46/0.66 % (25644)Memory used [KB]: 5500
% 1.46/0.66 % (25644)Time elapsed: 0.033 s
% 1.46/0.66 % (25644)Instructions burned: 102 (million)
% 1.46/0.66 % (25644)------------------------------
% 1.46/0.66 % (25644)------------------------------
% 1.46/0.67 % (25653)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2997ds/3Mi)
% 1.46/0.67 % (25653)Instruction limit reached!
% 1.46/0.67 % (25653)------------------------------
% 1.46/0.67 % (25653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.67 % (25653)Termination reason: Unknown
% 1.46/0.67 % (25653)Termination phase: shuffling
% 1.46/0.67
% 1.46/0.67 % (25653)Memory used [KB]: 2686
% 1.46/0.67 % (25653)Time elapsed: 0.004 s
% 1.46/0.67 % (25653)Instructions burned: 5 (million)
% 1.46/0.67 % (25653)------------------------------
% 1.46/0.67 % (25653)------------------------------
% 1.46/0.67 % (25656)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2997ds/20Mi)
% 1.46/0.67 % (25569)Instruction limit reached!
% 1.46/0.67 % (25569)------------------------------
% 1.46/0.67 % (25569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.67 % (25569)Termination reason: Unknown
% 1.46/0.67 % (25569)Termination phase: Saturation
% 1.46/0.67
% 1.46/0.67 % (25569)Memory used [KB]: 11385
% 1.46/0.67 % (25569)Time elapsed: 0.134 s
% 1.46/0.67 % (25569)Instructions burned: 378 (million)
% 1.46/0.67 % (25569)------------------------------
% 1.46/0.67 % (25569)------------------------------
% 1.46/0.68 % (25660)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2997ds/86Mi)
% 1.46/0.68 % (25656)Instruction limit reached!
% 1.46/0.68 % (25656)------------------------------
% 1.46/0.68 % (25656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.68 % (25656)Termination reason: Unknown
% 1.46/0.68 % (25656)Termination phase: shuffling
% 1.46/0.68
% 1.46/0.68 % (25656)Memory used [KB]: 3198
% 1.46/0.68 % (25656)Time elapsed: 0.009 s
% 1.46/0.68 % (25656)Instructions burned: 20 (million)
% 1.46/0.68 % (25656)------------------------------
% 1.46/0.68 % (25656)------------------------------
% 1.46/0.68 % (25663)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2997ds/107Mi)
% 1.46/0.69 % (25667)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.92/0.70 % (25667)Instruction limit reached!
% 1.92/0.70 % (25667)------------------------------
% 1.92/0.70 % (25667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.92/0.70 % (25667)Termination reason: Unknown
% 1.92/0.70 % (25667)Termination phase: shuffling
% 1.92/0.70
% 1.92/0.70 % (25667)Memory used [KB]: 3582
% 1.92/0.70 % (25667)Time elapsed: 0.014 s
% 1.92/0.70 % (25667)Instructions burned: 40 (million)
% 1.92/0.70 % (25667)------------------------------
% 1.92/0.70 % (25667)------------------------------
% 1.92/0.71 % (25678)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2996ds/448Mi)
% 1.92/0.71 % (25660)Instruction limit reached!
% 1.92/0.71 % (25660)------------------------------
% 1.92/0.71 % (25660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.92/0.71 % (25660)Termination reason: Unknown
% 1.92/0.71 % (25660)Termination phase: Property scanning
% 1.92/0.71
% 1.92/0.71 % (25660)Memory used [KB]: 4605
% 1.92/0.71 % (25660)Time elapsed: 0.033 s
% 1.92/0.71 % (25660)Instructions burned: 89 (million)
% 1.92/0.71 % (25660)------------------------------
% 1.92/0.71 % (25660)------------------------------
% 1.92/0.72 % (25685)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2996ds/46Mi)
% 1.92/0.72 % (25663)Instruction limit reached!
% 1.92/0.72 % (25663)------------------------------
% 1.92/0.72 % (25663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.92/0.72 % (25663)Termination reason: Unknown
% 1.92/0.72 % (25663)Termination phase: Property scanning
% 1.92/0.72
% 1.92/0.72 % (25663)Memory used [KB]: 4605
% 1.92/0.72 % (25663)Time elapsed: 0.038 s
% 1.92/0.72 % (25663)Instructions burned: 109 (million)
% 1.92/0.72 % (25663)------------------------------
% 1.92/0.72 % (25663)------------------------------
% 1.92/0.73 % (25692)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2996ds/98Mi)
% 1.92/0.74 % (25685)Instruction limit reached!
% 1.92/0.74 % (25685)------------------------------
% 1.92/0.74 % (25685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.92/0.74 % (25685)Termination reason: Unknown
% 1.92/0.74 % (25685)Termination phase: shuffling
% 1.92/0.74
% 1.92/0.74 % (25685)Memory used [KB]: 4221
% 1.92/0.74 % (25685)Time elapsed: 0.020 s
% 1.92/0.74 % (25685)Instructions burned: 47 (million)
% 1.92/0.74 % (25685)------------------------------
% 1.92/0.74 % (25685)------------------------------
% 1.92/0.74 % (25698)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2996ds/507Mi)
% 2.23/0.76 % (25692)Instruction limit reached!
% 2.23/0.76 % (25692)------------------------------
% 2.23/0.76 % (25692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.76 % (25692)Termination reason: Unknown
% 2.23/0.76 % (25692)Termination phase: shuffling
% 2.23/0.76
% 2.23/0.76 % (25692)Memory used [KB]: 5500
% 2.23/0.76 % (25692)Time elapsed: 0.031 s
% 2.23/0.76 % (25692)Instructions burned: 98 (million)
% 2.23/0.76 % (25692)------------------------------
% 2.23/0.76 % (25692)------------------------------
% 2.29/0.77 % (25708)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2996ds/149Mi)
% 2.29/0.77 % (25575)Instruction limit reached!
% 2.29/0.77 % (25575)------------------------------
% 2.29/0.77 % (25575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.77 % (25575)Termination reason: Unknown
% 2.29/0.77 % (25575)Termination phase: Saturation
% 2.29/0.77
% 2.29/0.77 % (25575)Memory used [KB]: 13944
% 2.29/0.77 % (25575)Time elapsed: 0.227 s
% 2.29/0.77 % (25575)Instructions burned: 779 (million)
% 2.29/0.77 % (25575)------------------------------
% 2.29/0.77 % (25575)------------------------------
% 2.29/0.78 % (25713)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2995ds/39Mi)
% 2.29/0.79 % (25713)Instruction limit reached!
% 2.29/0.79 % (25713)------------------------------
% 2.29/0.79 % (25713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.79 % (25713)Termination reason: Unknown
% 2.29/0.79 % (25713)Termination phase: shuffling
% 2.29/0.79
% 2.29/0.79 % (25713)Memory used [KB]: 3837
% 2.29/0.79 % (25713)Time elapsed: 0.017 s
% 2.29/0.79 % (25713)Instructions burned: 40 (million)
% 2.29/0.79 % (25713)------------------------------
% 2.29/0.79 % (25713)------------------------------
% 2.29/0.80 % (25548)Instruction limit reached!
% 2.29/0.80 % (25548)------------------------------
% 2.29/0.80 % (25548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.80 % (25548)Termination reason: Unknown
% 2.29/0.80 % (25548)Termination phase: Saturation
% 2.29/0.80
% 2.29/0.80 % (25548)Memory used [KB]: 10490
% 2.29/0.80 % (25548)Time elapsed: 0.291 s
% 2.29/0.80 % (25548)Instructions burned: 711 (million)
% 2.29/0.80 % (25548)------------------------------
% 2.29/0.80 % (25548)------------------------------
% 2.68/0.80 % (25527)Instruction limit reached!
% 2.68/0.80 % (25527)------------------------------
% 2.68/0.80 % (25527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.80 % (25527)Termination reason: Unknown
% 2.68/0.80 % (25527)Termination phase: Saturation
% 2.68/0.80
% 2.68/0.80 % (25527)Memory used [KB]: 12792
% 2.68/0.80 % (25527)Time elapsed: 0.336 s
% 2.68/0.80 % (25527)Instructions burned: 1043 (million)
% 2.68/0.80 % (25527)------------------------------
% 2.68/0.80 % (25527)------------------------------
% 2.68/0.80 % (25729)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2995ds/6Mi)
% 2.68/0.81 % (25732)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2995ds/1087Mi)
% 2.68/0.81 % (25729)Instruction limit reached!
% 2.68/0.81 % (25729)------------------------------
% 2.68/0.81 % (25729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.81 % (25729)Termination reason: Unknown
% 2.68/0.81 % (25729)Termination phase: shuffling
% 2.68/0.81
% 2.68/0.81 % (25729)Memory used [KB]: 2686
% 2.68/0.81 % (25729)Time elapsed: 0.004 s
% 2.68/0.81 % (25729)Instructions burned: 7 (million)
% 2.68/0.81 % (25729)------------------------------
% 2.68/0.81 % (25729)------------------------------
% 2.68/0.81 % (25735)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2995ds/47Mi)
% 2.68/0.81 % (25738)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2995ds/44Mi)
% 2.68/0.82 % (25708)Instruction limit reached!
% 2.68/0.82 % (25708)------------------------------
% 2.68/0.82 % (25708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.82 % (25708)Termination reason: Unknown
% 2.68/0.82 % (25708)Termination phase: Preprocessing 3
% 2.68/0.82
% 2.68/0.82 % (25708)Memory used [KB]: 5756
% 2.68/0.82 % (25708)Time elapsed: 0.052 s
% 2.68/0.82 % (25708)Instructions burned: 150 (million)
% 2.68/0.82 % (25708)------------------------------
% 2.68/0.82 % (25708)------------------------------
% 2.68/0.82 % (25746)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2995ds/432Mi)
% 2.68/0.83 % (25738)Instruction limit reached!
% 2.68/0.83 % (25738)------------------------------
% 2.68/0.83 % (25738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.83 % (25738)Termination reason: Unknown
% 2.68/0.83 % (25738)Termination phase: shuffling
% 2.68/0.83
% 2.68/0.83 % (25738)Memory used [KB]: 3837
% 2.68/0.83 % (25738)Time elapsed: 0.015 s
% 2.68/0.83 % (25738)Instructions burned: 45 (million)
% 2.68/0.83 % (25738)------------------------------
% 2.68/0.83 % (25738)------------------------------
% 2.68/0.83 % (25735)Instruction limit reached!
% 2.68/0.83 % (25735)------------------------------
% 2.68/0.83 % (25735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.83 % (25735)Termination reason: Unknown
% 2.68/0.83 % (25735)Termination phase: shuffling
% 2.68/0.83
% 2.68/0.83 % (25735)Memory used [KB]: 4349
% 2.68/0.83 % (25735)Time elapsed: 0.020 s
% 2.68/0.83 % (25735)Instructions burned: 48 (million)
% 2.68/0.83 % (25735)------------------------------
% 2.68/0.83 % (25735)------------------------------
% 2.68/0.83 % (25678)Instruction limit reached!
% 2.68/0.83 % (25678)------------------------------
% 2.68/0.83 % (25678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.83 % (25678)Termination reason: Unknown
% 2.68/0.83 % (25678)Termination phase: Function definition elimination
% 2.68/0.83
% 2.68/0.83 % (25678)Memory used [KB]: 6908
% 2.68/0.83 % (25678)Time elapsed: 0.127 s
% 2.68/0.83 % (25678)Instructions burned: 448 (million)
% 2.68/0.83 % (25678)------------------------------
% 2.68/0.83 % (25678)------------------------------
% 2.68/0.84 % (25759)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2995ds/62Mi)
% 2.68/0.84 % (25761)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2995ds/31Mi)
% 2.99/0.84 % (25763)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2995ds/96Mi)
% 2.99/0.85 % (25594)Refutation not found, non-redundant clauses discarded% (25594)------------------------------
% 2.99/0.85 % (25594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.85 % (25594)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.99/0.85
% 2.99/0.85 % (25594)Memory used [KB]: 10490
% 2.99/0.85 % (25594)Time elapsed: 0.275 s
% 2.99/0.85 % (25594)Instructions burned: 763 (million)
% 2.99/0.85 % (25594)------------------------------
% 2.99/0.85 % (25594)------------------------------
% 2.99/0.85 % (25761)Instruction limit reached!
% 2.99/0.85 % (25761)------------------------------
% 2.99/0.85 % (25761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.85 % (25761)Termination reason: Unknown
% 2.99/0.85 % (25761)Termination phase: shuffling
% 2.99/0.85
% 2.99/0.85 % (25761)Memory used [KB]: 3582
% 2.99/0.85 % (25761)Time elapsed: 0.014 s
% 2.99/0.85 % (25761)Instructions burned: 33 (million)
% 2.99/0.85 % (25761)------------------------------
% 2.99/0.85 % (25761)------------------------------
% 2.99/0.86 % (25772)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2995ds/453Mi)
% 2.99/0.86 % (25759)Instruction limit reached!
% 2.99/0.86 % (25759)------------------------------
% 2.99/0.86 % (25759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.86 % (25759)Termination reason: Unknown
% 2.99/0.86 % (25759)Termination phase: shuffling
% 2.99/0.86
% 2.99/0.86 % (25759)Memory used [KB]: 4221
% 2.99/0.86 % (25759)Time elapsed: 0.020 s
% 2.99/0.86 % (25759)Instructions burned: 62 (million)
% 2.99/0.86 % (25759)------------------------------
% 2.99/0.86 % (25759)------------------------------
% 2.99/0.86 % (25779)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2995ds/71Mi)
% 2.99/0.86 % (25555)Instruction limit reached!
% 2.99/0.86 % (25555)------------------------------
% 2.99/0.86 % (25555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.86 % (25555)Termination reason: Unknown
% 2.99/0.86 % (25555)Termination phase: Saturation
% 2.99/0.86
% 2.99/0.86 % (25555)Memory used [KB]: 12537
% 2.99/0.86 % (25555)Time elapsed: 0.359 s
% 2.99/0.86 % (25555)Instructions burned: 902 (million)
% 2.99/0.86 % (25555)------------------------------
% 2.99/0.86 % (25555)------------------------------
% 2.99/0.87 % (25783)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2995ds/83Mi)
% 2.99/0.87 % (25788)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2995ds/11Mi)
% 2.99/0.88 % (25788)Instruction limit reached!
% 2.99/0.88 % (25788)------------------------------
% 2.99/0.88 % (25788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.88 % (25788)Termination reason: Unknown
% 2.99/0.88 % (25788)Termination phase: shuffling
% 2.99/0.88
% 2.99/0.88 % (25788)Memory used [KB]: 2814
% 2.99/0.88 % (25788)Time elapsed: 0.006 s
% 2.99/0.88 % (25788)Instructions burned: 13 (million)
% 2.99/0.88 % (25788)------------------------------
% 2.99/0.88 % (25788)------------------------------
% 2.99/0.88 % (25763)Instruction limit reached!
% 2.99/0.88 % (25763)------------------------------
% 2.99/0.88 % (25763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.88 % (25763)Termination reason: Unknown
% 2.99/0.88 % (25763)Termination phase: Property scanning
% 2.99/0.88
% 2.99/0.88 % (25763)Memory used [KB]: 4605
% 2.99/0.88 % (25763)Time elapsed: 0.036 s
% 2.99/0.88 % (25763)Instructions burned: 99 (million)
% 2.99/0.88 % (25763)------------------------------
% 2.99/0.88 % (25763)------------------------------
% 2.99/0.88 % (25792)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (2994ds/41Mi)
% 2.99/0.89 % (25793)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2994ds/6Mi)
% 2.99/0.89 % (25779)Instruction limit reached!
% 2.99/0.89 % (25779)------------------------------
% 2.99/0.89 % (25779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.89 % (25779)Termination reason: Unknown
% 2.99/0.89 % (25779)Termination phase: shuffling
% 2.99/0.89
% 2.99/0.89 % (25779)Memory used [KB]: 4733
% 2.99/0.89 % (25779)Time elapsed: 0.029 s
% 2.99/0.89 % (25779)Instructions burned: 73 (million)
% 2.99/0.89 % (25779)------------------------------
% 2.99/0.89 % (25779)------------------------------
% 2.99/0.89 % (25793)Instruction limit reached!
% 2.99/0.89 % (25793)------------------------------
% 2.99/0.89 % (25793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.89 % (25793)Termination reason: Unknown
% 2.99/0.89 % (25793)Termination phase: shuffling
% 2.99/0.89
% 2.99/0.89 % (25793)Memory used [KB]: 2686
% 2.99/0.89 % (25793)Time elapsed: 0.004 s
% 2.99/0.89 % (25793)Instructions burned: 6 (million)
% 2.99/0.89 % (25793)------------------------------
% 2.99/0.89 % (25793)------------------------------
% 2.99/0.89 % (25783)Instruction limit reached!
% 2.99/0.89 % (25783)------------------------------
% 2.99/0.89 % (25783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.89 % (25783)Termination reason: Unknown
% 2.99/0.89 % (25783)Termination phase: Property scanning
% 2.99/0.89
% 2.99/0.89 % (25783)Memory used [KB]: 4605
% 2.99/0.89 % (25783)Time elapsed: 0.030 s
% 2.99/0.89 % (25783)Instructions burned: 86 (million)
% 2.99/0.89 % (25783)------------------------------
% 2.99/0.89 % (25783)------------------------------
% 2.99/0.89 % (25698)First to succeed.
% 2.99/0.90 % (25801)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2994ds/150Mi)
% 2.99/0.90 % (25698)Refutation found. Thanks to Tanya!
% 2.99/0.90 % SZS status Theorem for Vampire---4
% 2.99/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 2.99/0.90 % (25698)------------------------------
% 2.99/0.90 % (25698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.90 % (25698)Termination reason: Refutation
% 2.99/0.90
% 2.99/0.90 % (25698)Memory used [KB]: 12920
% 2.99/0.90 % (25698)Time elapsed: 0.152 s
% 2.99/0.90 % (25698)Instructions burned: 453 (million)
% 2.99/0.90 % (25698)------------------------------
% 2.99/0.90 % (25698)------------------------------
% 2.99/0.90 % (25513)Success in time 0.526 s
% 2.99/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------