TSTP Solution File: ITP106^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP106^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 06:49:52 EDT 2024
% Result : Theorem 2.70s 0.72s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 81
% Syntax : Number of formulae : 105 ( 20 unt; 76 typ; 0 def)
% Number of atoms : 103 ( 31 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 730 ( 16 ~; 10 |; 0 &; 698 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 10 con; 0-3 aty)
% Number of variables : 29 ( 0 ^ 28 !; 0 ?; 29 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
partia1993116613t_unit: $tType ).
thf(type_def_6,type,
set_Product_prod_a_a: $tType ).
thf(type_def_8,type,
partia96731725t_unit: $tType ).
thf(type_def_9,type,
set_a: $tType ).
thf(type_def_10,type,
partia1833973666xt_a_b: $tType ).
thf(type_def_11,type,
a: $tType ).
thf(type_def_12,type,
int: $tType ).
thf(type_def_13,type,
nat: $tType ).
thf(type_def_14,type,
product_prod_a_a: $tType ).
thf(type_def_15,type,
b: $tType ).
thf(func_def_0,type,
partia1993116613t_unit: $tType ).
thf(func_def_1,type,
partia1833973666xt_a_b: $tType ).
thf(func_def_2,type,
partia96731725t_unit: $tType ).
thf(func_def_3,type,
set_Product_prod_a_a: $tType ).
thf(func_def_4,type,
product_prod_a_a: $tType ).
thf(func_def_5,type,
set_a: $tType ).
thf(func_def_6,type,
nat: $tType ).
thf(func_def_7,type,
int: $tType ).
thf(func_def_8,type,
b: $tType ).
thf(func_def_9,type,
a: $tType ).
thf(func_def_10,type,
partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a ).
thf(func_def_11,type,
partia1955795460t_unit: partia96731725t_unit > set_a ).
thf(func_def_12,type,
partia1066395285xt_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_13,type,
units_a_Product_unit: partia96731725t_unit > set_a ).
thf(func_def_14,type,
units_a_ring_ext_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_15,type,
comm_g1684316527t_unit: partia96731725t_unit > $o ).
thf(func_def_16,type,
comm_g791708116xt_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_17,type,
group_a_Product_unit: partia96731725t_unit > $o ).
thf(func_def_18,type,
group_a_ring_ext_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_19,type,
mult_a_Product_unit: partia96731725t_unit > a > a > a ).
thf(func_def_20,type,
mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_21,type,
one_a_Product_unit: partia96731725t_unit > a ).
thf(func_def_22,type,
one_a_ring_ext_a_b: partia1833973666xt_a_b > a ).
thf(func_def_23,type,
units_873712258t_unit: partia96731725t_unit > partia96731725t_unit ).
thf(func_def_24,type,
units_1411277569xt_a_b: partia1833973666xt_a_b > partia96731725t_unit ).
thf(func_def_25,type,
minus_minus_int: int > int > int ).
thf(func_def_26,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_27,type,
plus_plus_int: int > int > int ).
thf(func_def_28,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_29,type,
uminus_uminus_int: int > int ).
thf(func_def_30,type,
suc: nat > nat ).
thf(func_def_31,type,
semiri2019852685at_int: nat > int ).
thf(func_def_32,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_33,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_34,type,
a_inv_a_b: partia1833973666xt_a_b > a > a ).
thf(func_def_35,type,
a_minus_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_36,type,
abelian_group_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_37,type,
add_pow_a_b_int: partia1833973666xt_a_b > int > a > a ).
thf(func_def_38,type,
add_pow_a_b_nat: partia1833973666xt_a_b > nat > a > a ).
thf(func_def_39,type,
field_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_40,type,
add_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_41,type,
more_a_b: partia1833973666xt_a_b > b ).
thf(func_def_42,type,
zero_a_b: partia1833973666xt_a_b > a ).
thf(func_def_43,type,
semiring_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_44,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_45,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_46,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_47,type,
member_a: a > set_a > $o ).
thf(func_def_48,type,
r: partia1833973666xt_a_b ).
thf(func_def_49,type,
r2: a ).
thf(func_def_50,type,
r3: a ).
thf(func_def_51,type,
r4: a ).
thf(func_def_52,type,
rel: partia1993116613t_unit ).
thf(func_def_53,type,
s: a ).
thf(func_def_54,type,
s2: a ).
thf(func_def_55,type,
s3: a ).
thf(func_def_65,type,
sK0: product_prod_a_a > a ).
thf(func_def_66,type,
sK1: product_prod_a_a > a ).
thf(func_def_67,type,
sK2: ( product_prod_a_a > $o ) > a ).
thf(func_def_68,type,
sK3: ( product_prod_a_a > $o ) > a ).
thf(func_def_69,type,
sK4: ( product_prod_a_a > $o ) > a ).
thf(func_def_70,type,
sK5: ( product_prod_a_a > $o ) > a ).
thf(func_def_71,type,
sK6: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_72,type,
sK7: product_prod_a_a > a ).
thf(func_def_73,type,
sK8: product_prod_a_a > a ).
thf(func_def_76,type,
ph10:
!>[X0: $tType] : X0 ).
thf(f1802,plain,
$false,
inference(subsumption_resolution,[],[f1801,f782]) ).
thf(f782,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(backward_demodulation,[],[f718,f728]) ).
thf(f728,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s3 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739',fact_6_f9) ).
thf(f718,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(cnf_transformation,[],[f663]) ).
thf(f663,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(flattening,[],[f345]) ).
thf(f345,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(fool_elimination,[],[f344]) ).
thf(f344,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(rectify,[],[f284]) ).
thf(f284,negated_conjecture,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(negated_conjecture,[],[f283]) ).
thf(f283,conjecture,
member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739',conj_0) ).
thf(f1801,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(forward_demodulation,[],[f1795,f728]) ).
thf(f1795,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(trivial_inequality_removal,[],[f1792]) ).
thf(f1792,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f1215,f732]) ).
thf(f732,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(cnf_transformation,[],[f450]) ).
thf(f450,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(fool_elimination,[],[f449]) ).
thf(f449,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(rectify,[],[f11]) ).
thf(f11,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739',fact_10_f5) ).
thf(f1215,plain,
! [X0: a,X1: a] :
( ( $true
!= ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) ) )
| ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X1 @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X1 ) ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(trivial_inequality_removal,[],[f1210]) ).
thf(f1210,plain,
! [X0: a,X1: a] :
( ( $true != $true )
| ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X1 @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X1 ) ) @ ( partia206007992t_unit @ rel ) ) )
| ( $true
!= ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(superposition,[],[f717,f746]) ).
thf(f746,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(cnf_transformation,[],[f554]) ).
thf(f554,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(fool_elimination,[],[f553]) ).
thf(f553,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(rectify,[],[f12]) ).
thf(f12,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739',fact_11_f4) ).
thf(f717,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
!= ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( partia206007992t_unit @ rel ) ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X1 ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ) ),
inference(cnf_transformation,[],[f676]) ).
thf(f676,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X1 ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( $true
!= ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(flattening,[],[f675]) ).
thf(f675,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X1 ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( $true
!= ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(ennf_transformation,[],[f534]) ).
thf(f534,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( partia206007992t_unit @ rel ) ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X3 ) @ ( partia206007992t_unit @ rel ) )
= $true )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X1 ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ) ) ),
inference(fool_elimination,[],[f533]) ).
thf(f533,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( partia206007992t_unit @ rel ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X3 ) @ ( partia206007992t_unit @ rel ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X1 ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) ) @ ( mult_a_ring_ext_a_b @ r @ X2 @ X3 ) ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X5: a,X3: a,X4: a,X6: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X4 ) @ ( partia206007992t_unit @ rel ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X5 @ X6 ) @ ( partia206007992t_unit @ rel ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X6 @ X3 ) @ ( mult_a_ring_ext_a_b @ r @ X4 @ X5 ) ) @ ( mult_a_ring_ext_a_b @ r @ X4 @ X6 ) ) @ ( partia206007992t_unit @ rel ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739',fact_4_closed__rel__add) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ITP106^1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 19:19:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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/sandbox2/tmp/tmp.k51m97hmyJ/Vampire---4.8_12739
% 0.16/0.37 % (12855)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.16/0.37 % (12853)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)
% 0.16/0.37 % (12854)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)
% 0.16/0.37 % (12849)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)
% 0.16/0.37 % (12851)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)
% 0.16/0.37 % (12852)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.37 % (12850)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)
% 0.16/0.37 % (12856)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)
% 0.16/0.37 % (12852)Instruction limit reached!
% 0.16/0.37 % (12852)------------------------------
% 0.16/0.37 % (12852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (12852)Termination reason: Unknown
% 0.16/0.37 % (12852)Termination phase: shuffling
% 0.16/0.37 % (12853)Instruction limit reached!
% 0.16/0.37 % (12853)------------------------------
% 0.16/0.37 % (12853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37
% 0.16/0.37 % (12852)Memory used [KB]: 1279
% 0.16/0.37 % (12852)Time elapsed: 0.003 s
% 0.16/0.37 % (12852)Instructions burned: 2 (million)
% 0.16/0.37 % (12852)------------------------------
% 0.16/0.37 % (12852)------------------------------
% 0.16/0.37 % (12853)Termination reason: Unknown
% 0.16/0.37 % (12853)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (12853)Memory used [KB]: 1279
% 0.16/0.37 % (12853)Time elapsed: 0.003 s
% 0.16/0.37 % (12853)Instructions burned: 2 (million)
% 0.16/0.37 % (12853)------------------------------
% 0.16/0.37 % (12853)------------------------------
% 0.16/0.37 % (12850)Instruction limit reached!
% 0.16/0.37 % (12850)------------------------------
% 0.16/0.37 % (12850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (12856)Instruction limit reached!
% 0.16/0.37 % (12856)------------------------------
% 0.16/0.37 % (12856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (12856)Termination reason: Unknown
% 0.16/0.37 % (12856)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (12856)Memory used [KB]: 1279
% 0.16/0.37 % (12856)Time elapsed: 0.004 s
% 0.16/0.37 % (12856)Instructions burned: 4 (million)
% 0.16/0.37 % (12856)------------------------------
% 0.16/0.37 % (12856)------------------------------
% 0.16/0.37 % (12850)Termination reason: Unknown
% 0.16/0.37 % (12850)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (12850)Memory used [KB]: 1407
% 0.16/0.37 % (12850)Time elapsed: 0.004 s
% 0.16/0.37 % (12850)Instructions burned: 5 (million)
% 0.16/0.37 % (12850)------------------------------
% 0.16/0.37 % (12850)------------------------------
% 0.16/0.38 % (12855)Instruction limit reached!
% 0.16/0.38 % (12855)------------------------------
% 0.16/0.38 % (12855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (12855)Termination reason: Unknown
% 0.16/0.38 % (12855)Termination phase: shuffling
% 0.16/0.38
% 0.16/0.38 % (12855)Memory used [KB]: 1535
% 0.16/0.38 % (12855)Time elapsed: 0.011 s
% 0.16/0.38 % (12855)Instructions burned: 19 (million)
% 0.16/0.38 % (12855)------------------------------
% 0.16/0.38 % (12855)------------------------------
% 0.16/0.38 % (12851)Instruction limit reached!
% 0.16/0.38 % (12851)------------------------------
% 0.16/0.38 % (12851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (12851)Termination reason: Unknown
% 0.16/0.38 % (12851)Termination phase: Property scanning
% 0.16/0.38
% 0.16/0.38 % (12851)Memory used [KB]: 1535
% 0.16/0.38 % (12851)Time elapsed: 0.016 s
% 0.16/0.38 % (12851)Instructions burned: 29 (million)
% 0.16/0.38 % (12851)------------------------------
% 0.16/0.38 % (12851)------------------------------
% 0.16/0.38 % (12858)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)
% 0.16/0.38 % (12857)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)
% 0.16/0.38 % (12859)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)
% 0.16/0.38 % (12860)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)
% 0.16/0.38 % (12859)Instruction limit reached!
% 0.16/0.38 % (12859)------------------------------
% 0.16/0.38 % (12859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (12859)Termination reason: Unknown
% 0.16/0.38 % (12859)Termination phase: shuffling
% 0.16/0.38
% 0.16/0.38 % (12859)Memory used [KB]: 1279
% 0.16/0.38 % (12859)Time elapsed: 0.003 s
% 0.16/0.38 % (12859)Instructions burned: 3 (million)
% 0.16/0.38 % (12859)------------------------------
% 0.16/0.38 % (12859)------------------------------
% 0.16/0.39 % (12858)Instruction limit reached!
% 0.16/0.39 % (12858)------------------------------
% 0.16/0.39 % (12858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (12858)Termination reason: Unknown
% 0.16/0.39 % (12858)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (12858)Memory used [KB]: 1535
% 0.16/0.39 % (12858)Time elapsed: 0.009 s
% 0.16/0.39 % (12858)Instructions burned: 15 (million)
% 0.16/0.39 % (12858)------------------------------
% 0.16/0.39 % (12858)------------------------------
% 0.16/0.39 % (12861)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)
% 0.16/0.39 % (12861)Instruction limit reached!
% 0.16/0.39 % (12861)------------------------------
% 0.16/0.39 % (12861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (12861)Termination reason: Unknown
% 0.16/0.39 % (12861)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (12861)Memory used [KB]: 1407
% 0.16/0.39 % (12861)Time elapsed: 0.005 s
% 0.16/0.39 % (12861)Instructions burned: 8 (million)
% 0.16/0.39 % (12861)------------------------------
% 0.16/0.39 % (12861)------------------------------
% 0.16/0.39 % (12862)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.16/0.40 % (12863)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 (2999ds/3Mi)
% 0.16/0.40 % (12857)Instruction limit reached!
% 0.16/0.40 % (12857)------------------------------
% 0.16/0.40 % (12857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12857)Termination reason: Unknown
% 0.16/0.40 % (12857)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (12857)Memory used [KB]: 1918
% 0.16/0.40 % (12857)Time elapsed: 0.018 s
% 0.16/0.40 % (12857)Instructions burned: 37 (million)
% 0.16/0.40 % (12857)------------------------------
% 0.16/0.40 % (12857)------------------------------
% 0.16/0.40 % (12863)Instruction limit reached!
% 0.16/0.40 % (12863)------------------------------
% 0.16/0.40 % (12863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12863)Termination reason: Unknown
% 0.16/0.40 % (12863)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (12863)Memory used [KB]: 1279
% 0.16/0.40 % (12863)Time elapsed: 0.004 s
% 0.16/0.40 % (12863)Instructions burned: 5 (million)
% 0.16/0.40 % (12863)------------------------------
% 0.16/0.40 % (12863)------------------------------
% 0.16/0.40 % (12864)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 (2999ds/3Mi)
% 0.16/0.40 % (12862)Instruction limit reached!
% 0.16/0.40 % (12862)------------------------------
% 0.16/0.40 % (12862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12862)Termination reason: Unknown
% 0.16/0.40 % (12862)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (12862)Memory used [KB]: 1535
% 0.16/0.40 % (12862)Time elapsed: 0.010 s
% 0.16/0.40 % (12862)Instructions burned: 17 (million)
% 0.16/0.40 % (12862)------------------------------
% 0.16/0.40 % (12862)------------------------------
% 0.16/0.40 % (12864)Instruction limit reached!
% 0.16/0.40 % (12864)------------------------------
% 0.16/0.40 % (12864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (12864)Termination reason: Unknown
% 0.16/0.40 % (12864)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (12864)Memory used [KB]: 1279
% 0.16/0.40 % (12864)Time elapsed: 0.003 s
% 0.16/0.40 % (12864)Instructions burned: 3 (million)
% 0.16/0.40 % (12864)------------------------------
% 0.16/0.40 % (12864)------------------------------
% 0.16/0.41 % (12865)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 (2999ds/7Mi)
% 0.16/0.41 % (12865)Instruction limit reached!
% 0.16/0.41 % (12865)------------------------------
% 0.16/0.41 % (12865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (12865)Termination reason: Unknown
% 0.16/0.41 % (12865)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (12865)Memory used [KB]: 1407
% 0.16/0.41 % (12865)Time elapsed: 0.006 s
% 0.16/0.41 % (12865)Instructions burned: 8 (million)
% 0.16/0.41 % (12865)------------------------------
% 0.16/0.41 % (12865)------------------------------
% 0.16/0.41 % (12854)Refutation not found, incomplete strategy
% 0.16/0.41 % (12854)------------------------------
% 0.16/0.41 % (12854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (12854)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 % (12854)Memory used [KB]: 6524
% 0.16/0.41 % (12866)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 (2999ds/3Mi)
% 0.16/0.41 % (12854)Time elapsed: 0.046 s
% 0.16/0.41 % (12854)Instructions burned: 91 (million)
% 0.16/0.41 % (12854)------------------------------
% 0.16/0.41 % (12854)------------------------------
% 0.16/0.41 % (12867)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.16/0.41 % (12866)Instruction limit reached!
% 0.16/0.41 % (12866)------------------------------
% 0.16/0.41 % (12866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (12866)Termination reason: Unknown
% 0.16/0.41 % (12866)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (12866)Memory used [KB]: 1407
% 0.16/0.41 % (12866)Time elapsed: 0.004 s
% 0.16/0.41 % (12866)Instructions burned: 5 (million)
% 0.16/0.41 % (12866)------------------------------
% 0.16/0.41 % (12866)------------------------------
% 0.16/0.42 % (12867)Instruction limit reached!
% 0.16/0.42 % (12867)------------------------------
% 0.16/0.42 % (12867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (12867)Termination reason: Unknown
% 0.16/0.42 % (12867)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (12867)Memory used [KB]: 1407
% 0.16/0.42 % (12867)Time elapsed: 0.004 s
% 0.16/0.42 % (12867)Instructions burned: 5 (million)
% 0.16/0.42 % (12867)------------------------------
% 0.16/0.42 % (12867)------------------------------
% 0.16/0.42 % (12868)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 (2999ds/18Mi)
% 0.16/0.42 % (12869)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.16/0.42 % (12870)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.16/0.43 % (12870)Instruction limit reached!
% 0.16/0.43 % (12870)------------------------------
% 0.16/0.43 % (12870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (12870)Termination reason: Unknown
% 0.16/0.43 % (12870)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (12870)Memory used [KB]: 1407
% 0.16/0.43 % (12870)Time elapsed: 0.005 s
% 0.16/0.43 % (12870)Instructions burned: 6 (million)
% 0.16/0.43 % (12871)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 (2999ds/902Mi)
% 0.16/0.43 % (12870)------------------------------
% 0.16/0.43 % (12870)------------------------------
% 0.16/0.43 % (12868)Instruction limit reached!
% 0.16/0.43 % (12868)------------------------------
% 0.16/0.43 % (12868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (12868)Termination reason: Unknown
% 0.16/0.43 % (12868)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (12868)Memory used [KB]: 1535
% 0.16/0.43 % (12868)Time elapsed: 0.011 s
% 0.16/0.43 % (12868)Instructions burned: 19 (million)
% 0.16/0.43 % (12868)------------------------------
% 0.16/0.43 % (12868)------------------------------
% 0.16/0.43 % (12872)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 (2999ds/21Mi)
% 0.16/0.43 % (12873)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.16/0.43 % (12873)Instruction limit reached!
% 0.16/0.43 % (12873)------------------------------
% 0.16/0.43 % (12873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (12873)Termination reason: Unknown
% 0.16/0.43 % (12873)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (12873)Memory used [KB]: 1407
% 0.16/0.43 % (12873)Time elapsed: 0.004 s
% 0.16/0.43 % (12873)Instructions burned: 5 (million)
% 0.16/0.43 % (12873)------------------------------
% 0.16/0.43 % (12873)------------------------------
% 0.16/0.44 % (12872)Instruction limit reached!
% 0.16/0.44 % (12872)------------------------------
% 0.16/0.44 % (12872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (12872)Termination reason: Unknown
% 0.16/0.44 % (12872)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (12872)Memory used [KB]: 1535
% 0.16/0.44 % (12872)Time elapsed: 0.012 s
% 0.16/0.44 % (12872)Instructions burned: 21 (million)
% 0.16/0.44 % (12872)------------------------------
% 0.16/0.44 % (12872)------------------------------
% 0.16/0.44 % (12875)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.16/0.44 % (12874)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 (2999ds/6Mi)
% 0.16/0.44 % (12874)Instruction limit reached!
% 0.16/0.44 % (12874)------------------------------
% 0.16/0.44 % (12874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (12874)Termination reason: Unknown
% 0.16/0.44 % (12874)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (12874)Memory used [KB]: 1407
% 0.16/0.44 % (12874)Time elapsed: 0.004 s
% 0.16/0.44 % (12874)Instructions burned: 6 (million)
% 0.16/0.44 % (12874)------------------------------
% 0.16/0.44 % (12874)------------------------------
% 0.16/0.44 % (12876)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 (2999ds/779Mi)
% 0.16/0.45 % (12877)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)
% 0.16/0.45 % (12849)Instruction limit reached!
% 0.16/0.45 % (12849)------------------------------
% 0.16/0.45 % (12849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (12849)Termination reason: Unknown
% 0.16/0.45 % (12849)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (12849)Memory used [KB]: 6908
% 0.16/0.45 % (12849)Time elapsed: 0.086 s
% 0.16/0.45 % (12849)Instructions burned: 184 (million)
% 0.16/0.45 % (12849)------------------------------
% 0.16/0.45 % (12849)------------------------------
% 0.16/0.46 % (12878)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)
% 0.16/0.46 % (12877)Instruction limit reached!
% 0.16/0.46 % (12877)------------------------------
% 0.16/0.46 % (12877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (12877)Termination reason: Unknown
% 0.16/0.46 % (12877)Termination phase: shuffling
% 0.16/0.46
% 0.16/0.46 % (12877)Memory used [KB]: 1663
% 0.16/0.46 % (12877)Time elapsed: 0.011 s
% 0.16/0.46 % (12877)Instructions burned: 21 (million)
% 0.16/0.46 % (12877)------------------------------
% 0.16/0.46 % (12877)------------------------------
% 0.16/0.47 % (12879)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.16/0.47 % (12880)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.16/0.47 % (12879)Instruction limit reached!
% 0.16/0.47 % (12879)------------------------------
% 0.16/0.47 % (12879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47 % (12879)Termination reason: Unknown
% 0.16/0.47 % (12879)Termination phase: shuffling
% 0.16/0.47
% 0.16/0.47 % (12879)Memory used [KB]: 1535
% 0.16/0.47 % (12879)Time elapsed: 0.010 s
% 0.16/0.47 % (12879)Instructions burned: 18 (million)
% 0.16/0.47 % (12879)------------------------------
% 0.16/0.47 % (12879)------------------------------
% 0.16/0.48 % (12880)Instruction limit reached!
% 0.16/0.48 % (12880)------------------------------
% 0.16/0.48 % (12880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48 % (12880)Termination reason: Unknown
% 0.16/0.48 % (12880)Termination phase: shuffling
% 0.16/0.48
% 0.16/0.48 % (12880)Memory used [KB]: 1279
% 0.16/0.48 % (12880)Time elapsed: 0.004 s
% 0.16/0.48 % (12880)Instructions burned: 3 (million)
% 0.16/0.48 % (12880)------------------------------
% 0.16/0.48 % (12880)------------------------------
% 0.16/0.49 % (12881)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.16/0.49 % (12882)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 (2998ds/127Mi)
% 0.16/0.50 % (12881)Instruction limit reached!
% 0.16/0.50 % (12881)------------------------------
% 0.16/0.50 % (12881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50 % (12881)Termination reason: Unknown
% 0.16/0.50 % (12881)Termination phase: shuffling
% 0.16/0.50
% 0.16/0.50 % (12881)Memory used [KB]: 1663
% 0.16/0.50 % (12881)Time elapsed: 0.016 s
% 0.16/0.50 % (12881)Instructions burned: 31 (million)
% 0.16/0.50 % (12881)------------------------------
% 0.16/0.50 % (12881)------------------------------
% 0.16/0.52 % (12883)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 (2998ds/100Mi)
% 0.16/0.53 % (12871)Refutation not found, incomplete strategy
% 0.16/0.53 % (12871)------------------------------
% 0.16/0.53 % (12871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.53 % (12871)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.53
% 0.16/0.53
% 0.16/0.53 % (12871)Memory used [KB]: 7164
% 0.16/0.53 % (12871)Time elapsed: 0.105 s
% 0.16/0.53 % (12871)Instructions burned: 221 (million)
% 0.16/0.53 % (12871)------------------------------
% 0.16/0.53 % (12871)------------------------------
% 0.16/0.54 % (12884)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 (2998ds/3Mi)
% 0.16/0.55 % (12884)Instruction limit reached!
% 0.16/0.55 % (12884)------------------------------
% 0.16/0.55 % (12884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.55 % (12884)Termination reason: Unknown
% 0.16/0.55 % (12884)Termination phase: shuffling
% 0.16/0.55
% 0.16/0.55 % (12884)Memory used [KB]: 1279
% 0.16/0.55 % (12884)Time elapsed: 0.004 s
% 0.16/0.55 % (12884)Instructions burned: 3 (million)
% 0.16/0.55 % (12884)------------------------------
% 0.16/0.55 % (12884)------------------------------
% 0.16/0.55 % (12882)Instruction limit reached!
% 0.16/0.55 % (12882)------------------------------
% 0.16/0.55 % (12882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.55 % (12882)Termination reason: Unknown
% 0.16/0.55 % (12882)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (12882)Memory used [KB]: 6652
% 0.16/0.55 % (12882)Time elapsed: 0.060 s
% 0.16/0.55 % (12882)Instructions burned: 128 (million)
% 0.16/0.55 % (12882)------------------------------
% 0.16/0.55 % (12882)------------------------------
% 0.16/0.56 % (12883)Instruction limit reached!
% 0.16/0.56 % (12883)------------------------------
% 0.16/0.56 % (12883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.56 % (12883)Termination reason: Unknown
% 0.16/0.56 % (12883)Termination phase: Property scanning
% 0.16/0.56
% 0.16/0.56 % (12883)Memory used [KB]: 2174
% 0.16/0.56 % (12883)Time elapsed: 0.045 s
% 0.16/0.56 % (12883)Instructions burned: 100 (million)
% 0.16/0.56 % (12883)------------------------------
% 0.16/0.56 % (12883)------------------------------
% 0.16/0.56 % (12885)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)
% 1.64/0.56 % (12886)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)
% 1.64/0.57 % (12885)Instruction limit reached!
% 1.64/0.57 % (12885)------------------------------
% 1.64/0.57 % (12885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.64/0.57 % (12885)Termination reason: Unknown
% 1.64/0.57 % (12885)Termination phase: shuffling
% 1.64/0.57
% 1.64/0.57 % (12885)Memory used [KB]: 1535
% 1.64/0.57 % (12885)Time elapsed: 0.012 s
% 1.64/0.57 % (12885)Instructions burned: 21 (million)
% 1.64/0.57 % (12885)------------------------------
% 1.64/0.57 % (12885)------------------------------
% 1.64/0.57 % (12887)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)
% 1.83/0.58 % (12888)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)
% 1.83/0.60 % (12886)Instruction limit reached!
% 1.83/0.60 % (12886)------------------------------
% 1.83/0.60 % (12886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (12886)Termination reason: Unknown
% 1.83/0.60 % (12886)Termination phase: Property scanning
% 1.83/0.60
% 1.83/0.60 % (12886)Memory used [KB]: 2046
% 1.83/0.60 % (12886)Time elapsed: 0.041 s
% 1.83/0.60 % (12886)Instructions burned: 87 (million)
% 1.83/0.60 % (12886)------------------------------
% 1.83/0.60 % (12886)------------------------------
% 1.83/0.60 % (12888)Instruction limit reached!
% 1.83/0.60 % (12888)------------------------------
% 1.83/0.60 % (12888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (12888)Termination reason: Unknown
% 1.83/0.60 % (12888)Termination phase: shuffling
% 1.83/0.60
% 1.83/0.60 % (12888)Memory used [KB]: 2046
% 1.83/0.60 % (12888)Time elapsed: 0.020 s
% 1.83/0.60 % (12888)Instructions burned: 40 (million)
% 1.83/0.60 % (12888)------------------------------
% 1.83/0.60 % (12888)------------------------------
% 1.83/0.61 % (12889)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 (2997ds/448Mi)
% 1.83/0.61 % (12890)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 (2997ds/46Mi)
% 1.83/0.62 % (12887)Instruction limit reached!
% 1.83/0.62 % (12887)------------------------------
% 1.83/0.62 % (12887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.62 % (12887)Termination reason: Unknown
% 1.83/0.62 % (12887)Termination phase: Saturation
% 1.83/0.62
% 1.83/0.62 % (12887)Memory used [KB]: 6524
% 1.83/0.62 % (12887)Time elapsed: 0.049 s
% 1.83/0.62 % (12887)Instructions burned: 107 (million)
% 1.83/0.62 % (12887)------------------------------
% 1.83/0.62 % (12887)------------------------------
% 1.83/0.63 % (12875)Instruction limit reached!
% 1.83/0.63 % (12875)------------------------------
% 1.83/0.63 % (12875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.63 % (12875)Termination reason: Unknown
% 1.83/0.63 % (12875)Termination phase: Saturation
% 1.83/0.63
% 1.83/0.63 % (12875)Memory used [KB]: 7547
% 1.83/0.63 % (12875)Time elapsed: 0.193 s
% 1.83/0.63 % (12875)Instructions burned: 377 (million)
% 1.83/0.63 % (12875)------------------------------
% 1.83/0.63 % (12875)------------------------------
% 1.83/0.63 % (12891)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 (2997ds/98Mi)
% 1.83/0.64 % (12890)Instruction limit reached!
% 1.83/0.64 % (12890)------------------------------
% 1.83/0.64 % (12890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.64 % (12890)Termination reason: Unknown
% 1.83/0.64 % (12890)Termination phase: SInE selection
% 1.83/0.64
% 1.83/0.64 % (12890)Memory used [KB]: 1663
% 1.83/0.64 % (12890)Time elapsed: 0.024 s
% 1.83/0.64 % (12890)Instructions burned: 48 (million)
% 1.83/0.64 % (12890)------------------------------
% 1.83/0.64 % (12890)------------------------------
% 2.32/0.64 % (12892)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 (2997ds/507Mi)
% 2.32/0.65 % (12893)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 (2997ds/149Mi)
% 2.40/0.67 % (12891)Instruction limit reached!
% 2.40/0.67 % (12891)------------------------------
% 2.40/0.67 % (12891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.67 % (12891)Termination reason: Unknown
% 2.40/0.67 % (12891)Termination phase: Property scanning
% 2.40/0.67
% 2.40/0.67 % (12891)Memory used [KB]: 2174
% 2.40/0.67 % (12891)Time elapsed: 0.043 s
% 2.40/0.67 % (12891)Instructions burned: 98 (million)
% 2.40/0.67 % (12891)------------------------------
% 2.40/0.67 % (12891)------------------------------
% 2.40/0.69 % (12895)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2996ds/39Mi)
% 2.40/0.71 % (12895)Instruction limit reached!
% 2.40/0.71 % (12895)------------------------------
% 2.40/0.71 % (12895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.40/0.71 % (12895)Termination reason: Unknown
% 2.40/0.71 % (12895)Termination phase: Property scanning
% 2.40/0.71
% 2.40/0.71 % (12895)Memory used [KB]: 1535
% 2.40/0.71 % (12895)Time elapsed: 0.021 s
% 2.40/0.71 % (12895)Instructions burned: 40 (million)
% 2.40/0.71 % (12895)------------------------------
% 2.40/0.71 % (12895)------------------------------
% 2.70/0.71 % (12878)First to succeed.
% 2.70/0.71 % (12893)Instruction limit reached!
% 2.70/0.71 % (12893)------------------------------
% 2.70/0.71 % (12893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.70/0.71 % (12893)Termination reason: Unknown
% 2.70/0.71 % (12893)Termination phase: Property scanning
% 2.70/0.71
% 2.70/0.71 % (12893)Memory used [KB]: 2046
% 2.70/0.71 % (12893)Time elapsed: 0.066 s
% 2.70/0.71 % (12893)Instructions burned: 149 (million)
% 2.70/0.71 % (12893)------------------------------
% 2.70/0.71 % (12893)------------------------------
% 2.70/0.72 % (12878)Refutation found. Thanks to Tanya!
% 2.70/0.72 % SZS status Theorem for Vampire---4
% 2.70/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 2.70/0.72 % (12878)------------------------------
% 2.70/0.72 % (12878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.70/0.72 % (12878)Termination reason: Refutation
% 2.70/0.72
% 2.70/0.72 % (12878)Memory used [KB]: 7036
% 2.70/0.72 % (12878)Time elapsed: 0.270 s
% 2.70/0.72 % (12878)Instructions burned: 480 (million)
% 2.70/0.72 % (12878)------------------------------
% 2.70/0.72 % (12878)------------------------------
% 2.70/0.72 % (12848)Success in time 0.374 s
% 2.70/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------