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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TIM024_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:33:33 PM UTC 2026

% Result   : Theorem 32.03s 5.27s
% Output   : Refutation 32.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   81 (  16 unt;   0 typ;   4 def)
%            Number of atoms       :  352 ( 133 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  417 ( 146   ~; 211   |;  43   &)
%                                         (   8 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number arithmetic     :  940 (  45 atm; 274 fun; 407 num; 214 var)
%            Number of types       :    5 (   3 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  17 usr;   5 prp; 0-9 aty)
%            Number of functors    :   33 (  11 usr;  27 con; 0-5 aty)
%            Number of variables   :  261 (   0 sgn 259   !;   2   ?; 261   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    date: $tType ).

tff(type_def_6,type,
    time: $tType ).

tff(type_def_7,type,
    day_name: $tType ).

tff(func_def_0,type,
    ymd: ( $int * $int * $int ) > date ).

tff(func_def_1,type,
    dt: ( $int * $int * $int * $int * $int ) > time ).

tff(func_def_2,type,
    sunday: day_name ).

tff(func_def_3,type,
    monday: day_name ).

tff(func_def_4,type,
    tuesday: day_name ).

tff(func_def_5,type,
    wednesday: day_name ).

tff(func_def_6,type,
    thursday: day_name ).

tff(func_def_7,type,
    friday: day_name ).

tff(func_def_8,type,
    saturday: day_name ).

tff(func_def_79,type,
    '$inst0': $int ).

tff(func_def_80,type,
    '$inst1': $int ).

tff(pred_def_1,type,
    is_leap_year: $int > $o ).

tff(pred_def_2,type,
    is_days_in_month: ( $int * $int * $int ) > $o ).

tff(pred_def_3,type,
    is_days_in_year: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    calc_date: ( $int * $int * $int * date ) > $o ).

tff(pred_def_5,type,
    calc_datetime: ( $int * $int * $int * $int * $int * $int * $int * $int * time ) > $o ).

tff(pred_def_6,type,
    normalize_time: ( $int * $int * $int * $int * $int * $int * $int ) > $o ).

tff(pred_def_7,type,
    weekday: ( date * day_name ) > $o ).

tff(pred_def_8,type,
    zeller_prep: ( $int * $int * $int * $int * $int * $int ) > $o ).

tff(pred_def_9,type,
    map_iso: ( $int * day_name ) > $o ).

tff(pred_def_10,type,
    map_name_to_int: ( day_name * $int ) > $o ).

tff(pred_def_11,type,
    nth_weekday_date: ( $int * day_name * $int * $int * date ) > $o ).

tff(pred_def_12,type,
    calc_nth_offset: ( $int * $int * $int ) > $o ).

tff(pred_def_13,type,
    valid_day: $int > $o ).

tff(f43,axiom,
    ! [X0: $int] : is_days_in_month(7,X0,31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m7) ).

tff(f49,axiom,
    ! [X2: $int,X0: $int,X3: $int,X1: $int] :
      ( ( $lesseq(X0,X3)
        & is_days_in_month(X1,X2,X3)
        & $greater(X0,0) )
     => calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_base) ).

tff(f66,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ( X0 != 1 )
        & ( X0 != 2 ) )
     => zeller_prep(X0,X1,X0,X1,$remainder_e(X1,100),$quotient_e(X1,100)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeller_adj_norm) ).

tff(f67,negated_conjecture,
    ! [X2: $int,X8: $int,X9: $int,X6: $int,X7: $int,X1: $int,X4: $int,X10: $int,X0: $int,X3: day_name,X5: $int] :
      ( ( zeller_prep(X1,X0,X4,X5,X6,X7)
        & ( X0 != 1969 )
        & ( X9 = $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) )
        & ( X8 = $quotient_e($product(13,$sum(X4,1)),5) )
        & ( X0 != 2025 )
        & ( X0 != 2024 )
        & map_iso(X10,X3)
        & ( X0 != 1776 )
        & ( X10 = $remainder_e($sum($remainder_e(X9,7),7),7) )
        & ( X0 != 1985 )
        & $greater(X0,1582) )
     => weekday(ymd(X0,X1,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',calc_weekday_zeller) ).

tff(f69,axiom,
    map_iso(1,sunday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map_1) ).

tff(f86,axiom,
    ! [X4: date,X2: $int,X1: $int,X3: day_name,X5: date,X0: $int] :
      ( ( calc_date(X2,X1,$sum(X0,400),X5)
        & calc_date(X2,X1,X0,X4) )
     => ( weekday(X5,X3)
      <=> weekday(X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',weekday_400yr_period) ).

tff(f88,conjecture,
    ? [X0: day_name] :
      ( ( X0 = sunday )
      & weekday(ymd(1969,7,20),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_moon) ).

tff(f89,negated_conjecture,
    ~ ? [X0: day_name] :
        ( ( X0 = sunday )
        & weekday(ymd(1969,7,20),X0) ),
    inference(negated_conjecture,[status(cth)],[f88]) ).

tff(f99,plain,
    ! [X2: $int,X0: $int,X3: $int,X1: $int] :
      ( ( ~ $less(X3,X0)
        & is_days_in_month(X1,X2,X3)
        & $less(0,X0) )
     => calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
    inference(theory_normalization,[],[f49]) ).

tff(f112,plain,
    ! [X2: $int,X8: $int,X9: $int,X6: $int,X7: $int,X1: $int,X4: $int,X10: $int,X0: $int,X3: day_name,X5: $int] :
      ( ( zeller_prep(X1,X0,X4,X5,X6,X7)
        & ( X0 != 1969 )
        & ( X9 = $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) )
        & ( X8 = $quotient_e($product(13,$sum(X4,1)),5) )
        & ( X0 != 2025 )
        & ( X0 != 2024 )
        & map_iso(X10,X3)
        & ( X0 != 1776 )
        & ( X10 = $remainder_e($sum($remainder_e(X9,7),7),7) )
        & ( X0 != 1985 )
        & $less(1582,X0) )
     => weekday(ymd(X0,X1,X2),X3) ),
    inference(theory_normalization,[],[f67]) ).

tff(f116,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f123,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f131,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(definition,[],[tha_distributivity]) ).

tff(f139,plain,
    ! [X5: $int,X1: $int,X2: $int,X0: date,X3: day_name,X4: date] :
      ( ( calc_date(X1,X2,$sum(X5,400),X4)
        & calc_date(X1,X2,X5,X0) )
     => ( weekday(X4,X3)
      <=> weekday(X0,X3) ) ),
    inference(rectify,[],[f86]) ).

tff(f147,plain,
    ! [X2: $int,X0: $int,X1: $int,X3: $int] :
      ( ( $less(0,X1)
        & ~ $less(X2,X1)
        & is_days_in_month(X3,X0,X2) )
     => calc_date(X1,X3,X0,ymd(X0,X3,X1)) ),
    inference(rectify,[],[f99]) ).

tff(f162,plain,
    ! [X10: $int,X9: day_name,X4: $int,X8: $int,X1: $int,X5: $int,X7: $int,X2: $int,X0: $int,X3: $int,X6: $int] :
      ( ( map_iso(X7,X9)
        & ( $remainder_e($sum($remainder_e(X2,7),7),7) = X7 )
        & zeller_prep(X5,X8,X6,X10,X3,X4)
        & ( 1969 != X8 )
        & ( 1985 != X8 )
        & ( 2025 != X8 )
        & ( $sum(X0,$sum(X1,$sum(X3,$sum($quotient_e(X3,4),$sum($quotient_e(X4,4),$product(5,X4)))))) = X2 )
        & ( $quotient_e($product(13,$sum(X6,1)),5) = X1 )
        & $less(1582,X8)
        & ( 2024 != X8 )
        & ( 1776 != X8 ) )
     => weekday(ymd(X8,X5,X0),X9) ),
    inference(rectify,[],[f112]) ).

tff(f173,plain,
    ! [X0: day_name] :
      ( ( sunday != X0 )
      | ~ weekday(ymd(1969,7,20),X0) ),
    inference(ennf_transformation,[],[f89]) ).

tff(f176,plain,
    ! [X2: $int,X0: $int,X1: $int,X3: $int] :
      ( calc_date(X1,X3,X0,ymd(X0,X3,X1))
      | ~ $less(0,X1)
      | $less(X2,X1)
      | ~ is_days_in_month(X3,X0,X2) ),
    inference(ennf_transformation,[],[f147]) ).

tff(f177,plain,
    ! [X0: $int,X3: $int,X1: $int,X2: $int] :
      ( ~ is_days_in_month(X3,X0,X2)
      | ~ $less(0,X1)
      | calc_date(X1,X3,X0,ymd(X0,X3,X1))
      | $less(X2,X1) ),
    inference(flattening,[],[f176]) ).

tff(f178,plain,
    ! [X10: $int,X9: day_name,X4: $int,X8: $int,X1: $int,X5: $int,X7: $int,X2: $int,X0: $int,X3: $int,X6: $int] :
      ( weekday(ymd(X8,X5,X0),X9)
      | ~ map_iso(X7,X9)
      | ( $remainder_e($sum($remainder_e(X2,7),7),7) != X7 )
      | ~ zeller_prep(X5,X8,X6,X10,X3,X4)
      | ( 1969 = X8 )
      | ( 1985 = X8 )
      | ( 2025 = X8 )
      | ( $sum(X0,$sum(X1,$sum(X3,$sum($quotient_e(X3,4),$sum($quotient_e(X4,4),$product(5,X4)))))) != X2 )
      | ( $quotient_e($product(13,$sum(X6,1)),5) != X1 )
      | ~ $less(1582,X8)
      | ( 2024 = X8 )
      | ( 1776 = X8 ) ),
    inference(ennf_transformation,[],[f162]) ).

tff(f179,plain,
    ! [X9: day_name,X7: $int,X2: $int,X0: $int,X3: $int,X1: $int,X5: $int,X10: $int,X4: $int,X6: $int,X8: $int] :
      ( ( 1969 = X8 )
      | ( $quotient_e($product(13,$sum(X6,1)),5) != X1 )
      | ( 2024 = X8 )
      | ( $sum(X0,$sum(X1,$sum(X3,$sum($quotient_e(X3,4),$sum($quotient_e(X4,4),$product(5,X4)))))) != X2 )
      | weekday(ymd(X8,X5,X0),X9)
      | ( 2025 = X8 )
      | ( $remainder_e($sum($remainder_e(X2,7),7),7) != X7 )
      | ( 1776 = X8 )
      | ~ map_iso(X7,X9)
      | ~ zeller_prep(X5,X8,X6,X10,X3,X4)
      | ( 1985 = X8 )
      | ~ $less(1582,X8) ),
    inference(flattening,[],[f178]) ).

tff(f184,plain,
    ! [X1: $int,X0: $int] :
      ( zeller_prep(X0,X1,X0,X1,$remainder_e(X1,100),$quotient_e(X1,100))
      | ( 1 = X0 )
      | ( 2 = X0 ) ),
    inference(ennf_transformation,[],[f66]) ).

tff(f185,plain,
    ! [X1: $int,X0: $int] :
      ( ( 2 = X0 )
      | zeller_prep(X0,X1,X0,X1,$remainder_e(X1,100),$quotient_e(X1,100))
      | ( 1 = X0 ) ),
    inference(flattening,[],[f184]) ).

tff(f192,plain,
    ! [X5: $int,X1: $int,X2: $int,X0: date,X3: day_name,X4: date] :
      ( ( weekday(X4,X3)
      <=> weekday(X0,X3) )
      | ~ calc_date(X1,X2,$sum(X5,400),X4)
      | ~ calc_date(X1,X2,X5,X0) ),
    inference(ennf_transformation,[],[f139]) ).

tff(f193,plain,
    ! [X4: date,X2: $int,X5: $int,X3: day_name,X0: date,X1: $int] :
      ( ( weekday(X4,X3)
      <=> weekday(X0,X3) )
      | ~ calc_date(X1,X2,$sum(X5,400),X4)
      | ~ calc_date(X1,X2,X5,X0) ),
    inference(flattening,[],[f192]) ).

tff(f232,plain,
    ! [X0: day_name,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int,X8: $int,X9: $int,X10: $int] :
      ( ( 1969 = X10 )
      | ( $quotient_e($product(13,$sum(X9,1)),5) != X5 )
      | ( 2024 = X10 )
      | ( $sum(X3,$sum(X5,$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))) != X2 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 2025 = X10 )
      | ( $remainder_e($sum($remainder_e(X2,7),7),7) != X1 )
      | ( 1776 = X10 )
      | ~ map_iso(X1,X0)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1985 = X10 )
      | ~ $less(1582,X10) ),
    inference(rectify,[],[f179]) ).

tff(f238,plain,
    ! [X0: $int,X1: $int] :
      ( ( 2 = X1 )
      | zeller_prep(X1,X0,X1,X0,$remainder_e(X0,100),$quotient_e(X0,100))
      | ( 1 = X1 ) ),
    inference(rectify,[],[f185]) ).

tff(f252,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int] :
      ( ~ is_days_in_month(X1,X0,X3)
      | ~ $less(0,X2)
      | calc_date(X2,X1,X0,ymd(X0,X1,X2))
      | $less(X3,X2) ),
    inference(rectify,[],[f177]) ).

tff(f253,plain,
    ! [X4: date,X2: $int,X5: $int,X3: day_name,X0: date,X1: $int] :
      ( ( ( weekday(X4,X3)
          | ~ weekday(X0,X3) )
        & ( weekday(X0,X3)
          | ~ weekday(X4,X3) ) )
      | ~ calc_date(X1,X2,$sum(X5,400),X4)
      | ~ calc_date(X1,X2,X5,X0) ),
    inference(nnf_transformation,[],[f193]) ).

tff(f254,plain,
    ! [X0: date,X1: $int,X2: $int,X3: day_name,X4: date,X5: $int] :
      ( ( ( weekday(X0,X3)
          | ~ weekday(X4,X3) )
        & ( weekday(X4,X3)
          | ~ weekday(X0,X3) ) )
      | ~ calc_date(X5,X1,$sum(X2,400),X0)
      | ~ calc_date(X5,X1,X2,X4) ),
    inference(rectify,[],[f253]) ).

tff(f257,plain,
    map_iso(1,sunday),
    inference(cnf_transformation,[],[f69]) ).

tff(f265,plain,
    ! [X2: $int,X3: $int,X10: $int,X0: day_name,X1: $int,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int,X5: $int] :
      ( ( 1969 = X10 )
      | ( $quotient_e($product(13,$sum(X9,1)),5) != X5 )
      | ( 2024 = X10 )
      | ( $sum(X3,$sum(X5,$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))) != X2 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 2025 = X10 )
      | ( $remainder_e($sum($remainder_e(X2,7),7),7) != X1 )
      | ( 1776 = X10 )
      | ~ map_iso(X1,X0)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1985 = X10 )
      | ~ $less(1582,X10) ),
    inference(cnf_transformation,[],[f232]) ).

tff(f285,plain,
    ! [X0: day_name] :
      ( ( sunday != X0 )
      | ~ weekday(ymd(1969,7,20),X0) ),
    inference(cnf_transformation,[],[f173]) ).

tff(f299,plain,
    ! [X0: $int,X1: $int] :
      ( zeller_prep(X1,X0,X1,X0,$remainder_e(X0,100),$quotient_e(X0,100))
      | ( 2 = X1 )
      | ( 1 = X1 ) ),
    inference(cnf_transformation,[],[f238]) ).

tff(f343,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( calc_date(X2,X1,X0,ymd(X0,X1,X2))
      | ~ $less(0,X2)
      | ~ is_days_in_month(X1,X0,X3)
      | $less(X3,X2) ),
    inference(cnf_transformation,[],[f252]) ).

tff(f344,plain,
    ! [X0: $int] : is_days_in_month(7,X0,31),
    inference(cnf_transformation,[],[f43]) ).

tff(f346,plain,
    ! [X2: $int,X3: day_name,X0: date,X1: $int,X4: date,X5: $int] :
      ( weekday(X4,X3)
      | ~ calc_date(X5,X1,X2,X4)
      | ~ weekday(X0,X3)
      | ~ calc_date(X5,X1,$sum(X2,400),X0) ),
    inference(cnf_transformation,[],[f254]) ).

tff(f350,plain,
    ! [X2: $int,X3: $int,X10: $int,X0: day_name,X1: $int,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ( 1969 = X10 )
      | ( 2024 = X10 )
      | ( $sum(X3,$sum($quotient_e($product(13,$sum(X9,1)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))) != X2 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 2025 = X10 )
      | ( $remainder_e($sum($remainder_e(X2,7),7),7) != X1 )
      | ( 1776 = X10 )
      | ~ map_iso(X1,X0)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1985 = X10 )
      | ~ $less(1582,X10) ),
    inference(equality_resolution,[],[f265]) ).

tff(f351,plain,
    ! [X3: $int,X10: $int,X0: day_name,X1: $int,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ( 1969 = X10 )
      | ( 2024 = X10 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 2025 = X10 )
      | ( $remainder_e($sum($remainder_e($sum(X3,$sum($quotient_e($product(13,$sum(X9,1)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7),7),7) != X1 )
      | ( 1776 = X10 )
      | ~ map_iso(X1,X0)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1985 = X10 )
      | ~ $less(1582,X10) ),
    inference(equality_resolution,[],[f350]) ).

tff(f352,plain,
    ! [X3: $int,X10: $int,X0: day_name,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( weekday(ymd(X10,X6,X3),X0)
      | ~ $less(1582,X10)
      | ( 2024 = X10 )
      | ( 2025 = X10 )
      | ( 1969 = X10 )
      | ( 1985 = X10 )
      | ~ map_iso($remainder_e($sum($remainder_e($sum(X3,$sum($quotient_e($product(13,$sum(X9,1)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7),7),7),X0)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1776 = X10 ) ),
    inference(equality_resolution,[],[f351]) ).

tff(f353,plain,
    ~ weekday(ymd(1969,7,20),sunday),
    inference(equality_resolution,[],[f285]) ).

tff(f396,plain,
    ! [X3: $int,X10: $int,X0: day_name,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X3,$sum($quotient_e($product(13,$sum(X9,1)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7)),7),X0)
      | ( 1985 = X10 )
      | ( 1776 = X10 )
      | ( 1969 = X10 )
      | ( 2024 = X10 )
      | ~ $less(1582,X10)
      | ( 2025 = X10 )
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | weekday(ymd(X10,X6,X3),X0) ),
    inference(forward_demodulation,[],[f352,f116]) ).

tff(f398,plain,
    ! [X3: $int,X10: $int,X0: day_name,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ( 1969 = X10 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 1776 = X10 )
      | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X3,$sum($quotient_e($sum($product(13,X9),$product(13,1)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7)),7),X0)
      | ~ $less(1582,X10)
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1985 = X10 )
      | ( 2024 = X10 )
      | ( 2025 = X10 ) ),
    inference(forward_demodulation,[],[f396,f131]) ).

tff(f399,plain,
    ! [X3: $int,X10: $int,X0: day_name,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ( 1985 = X10 )
      | ( 2025 = X10 )
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8)
      | ( 1969 = X10 )
      | ( 2024 = X10 )
      | weekday(ymd(X10,X6,X3),X0)
      | ~ $less(1582,X10)
      | ( 1776 = X10 )
      | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X3,$sum($quotient_e($sum($product(13,X9),13),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7)),7),X0) ),
    inference(evaluation,[],[f398]) ).

tff(f401,plain,
    ! [X3: $int,X10: $int,X0: day_name,X8: $int,X6: $int,X9: $int,X7: $int,X4: $int] :
      ( ~ $less(1582,X10)
      | ( 2025 = X10 )
      | ( 2024 = X10 )
      | weekday(ymd(X10,X6,X3),X0)
      | ( 1985 = X10 )
      | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X3,$sum($quotient_e($sum(13,$product(13,X9)),5),$sum(X4,$sum($quotient_e(X4,4),$sum($quotient_e(X8,4),$product(5,X8)))))),7)),7),X0)
      | ( 1969 = X10 )
      | ( 1776 = X10 )
      | ~ zeller_prep(X6,X10,X9,X7,X4,X8) ),
    inference(forward_demodulation,[],[f399,f116]) ).

tff(f474,plain,
    ! [X2: $int,X3: day_name,X0: $int,X1: $int,X6: $int,X7: $int,X4: $int,X5: $int] :
      ( ~ zeller_prep(X1,X0,X4,X7,X5,X6)
      | ( 2025 = X0 )
      | ( 2024 = X0 )
      | weekday(ymd(X0,X1,X2),X3)
      | $less(X0,1582)
      | ( 1969 = X0 )
      | ( 1582 = X0 )
      | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X2,$sum($quotient_e($sum(13,$product(13,X4)),5),$sum(X5,$sum($quotient_e(X5,4),$sum($quotient_e(X6,4),$product(5,X6)))))),7)),7),X3)
      | ( 1776 = X0 )
      | ( 1985 = X0 ) ),
    inference(resolution,[],[f123,f401]) ).

tff(f659,plain,
    ! [X2: $int,X3: day_name,X0: $int,X1: $int] :
      ( weekday(ymd(X1,X0,X2),X3)
      | ( 2 = X0 )
      | ( 1985 = X1 )
      | ( 2025 = X1 )
      | $less(X1,1582)
      | ( 1776 = X1 )
      | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(X2,$sum($quotient_e($sum(13,$product(13,X0)),5),$sum($remainder_e(X1,100),$sum($quotient_e($remainder_e(X1,100),4),$sum($quotient_e($quotient_e(X1,100),4),$product(5,$quotient_e(X1,100))))))),7)),7),X3)
      | ( 1969 = X1 )
      | ( 1582 = X1 )
      | ( 1 = X0 )
      | ( 2024 = X1 ) ),
    inference(resolution,[],[f299,f474]) ).

tff(f797,plain,
    ! [X2: $int,X3: date,X0: $int,X1: $int] :
      ( ~ calc_date(X0,X1,$sum(X2,400),X3)
      | ~ weekday(X3,sunday)
      | ~ calc_date(X0,X1,X2,ymd(1969,7,20)) ),
    inference(resolution,[],[f346,f353]) ).

tff(f816,plain,
    ! [X2: $int,X3: date,X0: $int,X1: $int] :
      ( ~ calc_date(X1,X2,X0,ymd(1969,7,20))
      | ~ calc_date(X1,X2,$sum(400,X0),X3)
      | ~ weekday(X3,sunday) ),
    inference(constrained_superposition,[],[f797,f116]) ).

tff(f867,plain,
    ! [X0: date,X1: $int] :
      ( $less(X1,20)
      | ~ $less(0,20)
      | ~ calc_date(20,7,$sum(400,1969),X0)
      | ~ is_days_in_month(7,1969,X1)
      | ~ weekday(X0,sunday) ),
    inference(resolution,[],[f816,f343]) ).

tff(f878,plain,
    ! [X0: date,X1: $int] :
      ( ~ is_days_in_month(7,1969,X1)
      | $less(X1,20)
      | ~ calc_date(20,7,2369,X0)
      | ~ weekday(X0,sunday) ),
    inference(evaluation,[],[f867]) ).

tff(f884,definition,
    ( spl2_1
  <=> ! [X0: date] :
        ( ~ calc_date(20,7,2369,X0)
        | ~ weekday(X0,sunday) ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

tff(f885,plain,
    ( ! [X0: date] :
        ( ~ calc_date(20,7,2369,X0)
        | ~ weekday(X0,sunday) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f884]) ).

tff(f887,definition,
    ( spl2_2
  <=> ! [X1: $int] :
        ( ~ is_days_in_month(7,1969,X1)
        | $less(X1,20) ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

tff(f888,plain,
    ( ! [X1: $int] :
        ( ~ is_days_in_month(7,1969,X1)
        | $less(X1,20) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f887]) ).

tff(f889,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f878,f887,f884]) ).

tff(f935,plain,
    ( $less(31,20)
    | ~ spl2_2 ),
    inference(resolution,[],[f888,f344]) ).

tff(f936,plain,
    ( $false
    | ~ spl2_2 ),
    inference(evaluation,[],[f935]) ).

tff(f937,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f936]) ).

tff(f938,plain,
    ( ! [X0: $int] :
        ( $less(X0,20)
        | ~ $less(0,20)
        | ~ is_days_in_month(7,2369,X0)
        | ~ weekday(ymd(2369,7,20),sunday) )
    | ~ spl2_1 ),
    inference(resolution,[],[f885,f343]) ).

tff(f939,plain,
    ( ! [X0: $int] :
        ( ~ is_days_in_month(7,2369,X0)
        | $less(X0,20)
        | ~ weekday(ymd(2369,7,20),sunday) )
    | ~ spl2_1 ),
    inference(evaluation,[],[f938]) ).

tff(f941,definition,
    ( spl2_7
  <=> ! [X0: $int] :
        ( ~ is_days_in_month(7,2369,X0)
        | $less(X0,20) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

tff(f942,plain,
    ( ! [X0: $int] :
        ( ~ is_days_in_month(7,2369,X0)
        | $less(X0,20) )
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f941]) ).

tff(f944,definition,
    ( spl2_8
  <=> weekday(ymd(2369,7,20),sunday) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

tff(f946,plain,
    ( ~ weekday(ymd(2369,7,20),sunday)
    | spl2_8 ),
    inference(avatar_component_clause,[],[f944]) ).

tff(f947,plain,
    ( spl2_7
    | ~ spl2_8
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f939,f884,f944,f941]) ).

tff(f973,plain,
    ( ( 1969 = 2369 )
    | ( 1 = 7 )
    | ~ map_iso($remainder_e($sum(7,$remainder_e($sum(20,$sum($quotient_e($sum(13,$product(13,7)),5),$sum($remainder_e(2369,100),$sum($quotient_e($remainder_e(2369,100),4),$sum($quotient_e($quotient_e(2369,100),4),$product(5,$quotient_e(2369,100))))))),7)),7),sunday)
    | ( 2 = 7 )
    | $less(2369,1582)
    | ( 2024 = 2369 )
    | ( 1776 = 2369 )
    | ( 1985 = 2369 )
    | ( 1582 = 2369 )
    | ( 2025 = 2369 )
    | spl2_8 ),
    inference(resolution,[],[f946,f659]) ).

tff(f978,plain,
    ( ~ map_iso(1,sunday)
    | spl2_8 ),
    inference(evaluation,[],[f973]) ).

tff(f981,plain,
    ( $false
    | spl2_8 ),
    inference(forward_subsumption_resolution,[],[f978,f257]) ).

tff(f982,plain,
    spl2_8,
    inference(avatar_contradiction_clause,[],[f981]) ).

tff(f1011,plain,
    ( $less(31,20)
    | ~ spl2_7 ),
    inference(resolution,[],[f942,f344]) ).

tff(f1012,plain,
    ( $false
    | ~ spl2_7 ),
    inference(evaluation,[],[f1011]) ).

tff(f1013,plain,
    ~ spl2_7,
    inference(avatar_contradiction_clause,[],[f1012]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s4,plain,
    ~ spl2_2,
    inference(sat_conversion,[],[f937]) ).

cnf(s5,plain,
    ( ~ spl2_1
    | spl2_7
    | ~ spl2_8 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s7,plain,
    spl2_8,
    inference(sat_conversion,[],[f982]) ).

cnf(s8,plain,
    ~ spl2_7,
    inference(sat_conversion,[],[f1013]) ).

cnf(s9,plain,
    ~ spl2_1,
    inference(rat,[],[s5,s7,s8]) ).

cnf(s10,plain,
    $false,
    inference(rat,[],[s1,s4,s9]) ).

tff(f1014,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : TIM024_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n009.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 18:47:45 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/1.29  % (3343875)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.42/1.29  % (3343966)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2176870270:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.42/1.29  % (3343966)Instruction limit reached! 
% 3.42/1.29  % (3343966)------------------------------
% 3.42/1.29  % (3343966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29  % (3343966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29  % (3343966)CaDiCaL version: 2.1.3
% 3.42/1.29  % (3343966)Termination reason: Instruction limit
% 3.42/1.29  % (3343966)Termination phase: Property scanning
% 3.42/1.29  % (3343966)Time elapsed: 0.002 s
% 3.42/1.29  % (3343966)Peak memory usage: 86 MB
% 3.42/1.29  % (3343966)Instructions burned: 6 (million)
% 3.42/1.29  % (3343968)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2097209624:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.42/1.29  % (3343960)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2189222502:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.42/1.29  % (3343963)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2120319892:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.42/1.29  % (3343961)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=352145777:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.42/1.29  % (3343967)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=357294535:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.42/1.29  % (3343965)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1470545167:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.42/1.29  % (3343960)Instruction limit reached! 
% 3.42/1.29  % (3343960)------------------------------
% 3.42/1.29  % (3343960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29  % (3343960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29  % (3343960)CaDiCaL version: 2.1.3
% 3.42/1.29  % (3343960)Termination reason: Instruction limit
% 3.42/1.29  % (3343960)Termination phase: Saturation
% 3.42/1.29  % (3343960)Time elapsed: 0.030 s
% 3.42/1.29  % (3343960)Peak memory usage: 115 MB
% 3.42/1.29  % (3343960)Instructions burned: 12 (million)
% 3.42/1.29  % (3343965)Instruction limit reached! 
% 3.42/1.29  % (3343965)------------------------------
% 3.42/1.29  % (3343965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29  % (3343965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29  % (3343965)CaDiCaL version: 2.1.3
% 3.42/1.29  % (3343965)Termination reason: Instruction limit
% 3.42/1.29  % (3343965)Termination phase: Property scanning
% 3.42/1.29  % (3343965)Time elapsed: 0.005 s
% 3.42/1.29  % (3343965)Peak memory usage: 86 MB
% 3.42/1.29  % (3343965)Instructions burned: 7 (million)
% 3.42/1.29  % (3343968)Instruction limit reached! 
% 3.42/1.29  % (3343968)------------------------------
% 3.42/1.29  % (3343968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29  % (3343968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29  % (3343968)CaDiCaL version: 2.1.3
% 3.42/1.29  % (3343968)Termination reason: Instruction limit
% 3.42/1.29  % (3343968)Termination phase: Saturation
% 3.42/1.29  % (3343968)Time elapsed: 0.043 s
% 3.42/1.29  % (3343968)Peak memory usage: 115 MB
% 3.42/1.29  % (3343968)Instructions burned: 33 (million)
% 3.42/1.29  % (3343967)Instruction limit reached! 
% 3.42/1.29  % (3343967)------------------------------
% 3.42/1.29  % (3343967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29  % (3343967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29  % (3343967)CaDiCaL version: 2.1.3
% 3.42/1.29  % (3343967)Termination reason: Instruction limit
% 3.42/1.29  % (3343967)Termination phase: Saturation
% 3.42/1.29  % (3343967)Time elapsed: 0.051 s
% 3.42/1.29  % (3343967)Peak memory usage: 115 MB
% 3.42/1.29  % (3343967)Instructions burned: 47 (million)
% 3.42/1.29  % (3343987)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1558713748:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.42/1.29  % (3343987)Instruction limit reached! 
% 3.42/1.29  % (3343987)------------------------------
% 4.87/1.54  % (3343987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3343987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3343987)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3343987)Termination reason: Instruction limit
% 4.87/1.54  % (3343987)Termination phase: Saturation
% 4.87/1.54  % (3343987)Time elapsed: 0.005 s
% 4.87/1.54  % (3343987)Peak memory usage: 88 MB
% 4.87/1.54  % (3343987)Instructions burned: 15 (million)
% 4.87/1.54  % (3343963)Instruction limit reached! 
% 4.87/1.54  % (3343963)------------------------------
% 4.87/1.54  % (3343963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3343963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3343963)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3343963)Termination reason: Instruction limit
% 4.87/1.54  % (3343963)Termination phase: Saturation
% 4.87/1.54  % (3343963)Time elapsed: 0.168 s
% 4.87/1.54  % (3343963)Peak memory usage: 117 MB
% 4.87/1.54  % (3343963)Instructions burned: 201 (million)
% 4.87/1.54  % (3344009)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=481535464:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.87/1.54  % (3344015)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1920791179:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.87/1.54  % (3344011)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3827147741:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.87/1.54  % (3343961)Instruction limit reached! 
% 4.87/1.54  % (3343961)------------------------------
% 4.87/1.54  % (3343961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3343961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3343961)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3343961)Termination reason: Instruction limit
% 4.87/1.54  % (3343961)Termination phase: Saturation
% 4.87/1.54  % (3343961)Time elapsed: 0.199 s
% 4.87/1.54  % (3343961)Peak memory usage: 117 MB
% 4.87/1.54  % (3343961)Instructions burned: 307 (million)
% 4.87/1.54  % (3344011)Instruction limit reached! 
% 4.87/1.54  % (3344011)------------------------------
% 4.87/1.54  % (3344011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3344011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3344011)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3344011)Termination reason: Instruction limit
% 4.87/1.54  % (3344011)Termination phase: Saturation
% 4.87/1.54  % (3344011)Time elapsed: 0.010 s
% 4.87/1.54  % (3344011)Peak memory usage: 88 MB
% 4.87/1.54  % (3344011)Instructions burned: 18 (million)
% 4.87/1.54  % (3344015)Instruction limit reached! 
% 4.87/1.54  % (3344015)------------------------------
% 4.87/1.54  % (3344015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3344015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3344015)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3344015)Termination reason: Instruction limit
% 4.87/1.54  % (3344015)Termination phase: Saturation
% 4.87/1.54  % (3344015)Time elapsed: 0.018 s
% 4.87/1.54  % (3344015)Peak memory usage: 89 MB
% 4.87/1.54  % (3344015)Instructions burned: 25 (million)
% 4.87/1.54  % (3344009)Instruction limit reached! 
% 4.87/1.54  % (3344009)------------------------------
% 4.87/1.54  % (3344009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.54  % (3344009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.54  % (3344009)CaDiCaL version: 2.1.3
% 4.87/1.54  % (3344009)Termination reason: Instruction limit
% 4.87/1.54  % (3344009)Termination phase: Saturation
% 4.87/1.54  % (3344009)Time elapsed: 0.021 s
% 4.87/1.54  % (3344009)Peak memory usage: 89 MB
% 4.87/1.54  % (3344009)Instructions burned: 30 (million)
% 4.87/1.54  % (3344023)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2864126082:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.87/1.54  % (3344019)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2657245242:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.87/1.54  % (3344019)Refutation not found, incomplete strategy
% 4.87/1.54  % (3344019)------------------------------
% 6.58/1.82  % (3344019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344019)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344019)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.82  % (3344019)Time elapsed: 0.007 s
% 6.58/1.82  % (3344019)Peak memory usage: 89 MB
% 6.58/1.82  % (3344019)Instructions burned: 11 (million)
% 6.58/1.82  % (3344023)Instruction limit reached! 
% 6.58/1.82  % (3344023)------------------------------
% 6.58/1.82  % (3344023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344023)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344023)Termination reason: Instruction limit
% 6.58/1.82  % (3344023)Termination phase: Saturation
% 6.58/1.82  % (3344023)Time elapsed: 0.048 s
% 6.58/1.82  % (3344023)Peak memory usage: 89 MB
% 6.58/1.82  % (3344023)Instructions burned: 85 (million)
% 6.58/1.82  % (3344031)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3259912489:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 6.58/1.82  % (3344031)Instruction limit reached! 
% 6.58/1.82  % (3344031)------------------------------
% 6.58/1.82  % (3344031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344031)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344031)Termination reason: Instruction limit
% 6.58/1.82  % (3344031)Termination phase: shuffling
% 6.58/1.82  % (3344031)Time elapsed: 0.002 s
% 6.58/1.82  % (3344031)Peak memory usage: 86 MB
% 6.58/1.82  % (3344031)Instructions burned: 3 (million)
% 6.58/1.82  % (3344036)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=999731033:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 6.58/1.82  % (3344035)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1432430257:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 6.58/1.82  % (3344036)Instruction limit reached! 
% 6.58/1.82  % (3344036)------------------------------
% 6.58/1.82  % (3344036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344036)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344036)Termination reason: Instruction limit
% 6.58/1.82  % (3344036)Termination phase: Property scanning
% 6.58/1.82  % (3344036)Time elapsed: 0.003 s
% 6.58/1.82  % (3344036)Peak memory usage: 85 MB
% 6.58/1.82  % (3344036)Instructions burned: 5 (million)
% 6.58/1.82  % (3344035)Refutation not found, incomplete strategy
% 6.58/1.82  % (3344035)------------------------------
% 6.58/1.82  % (3344035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344035)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344035)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.82  % (3344035)Time elapsed: 0.006 s
% 6.58/1.82  % (3344035)Peak memory usage: 89 MB
% 6.58/1.82  % (3344035)Instructions burned: 6 (million)
% 6.58/1.82  % (3344039)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4037848950:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 6.58/1.82  % (3344040)lrs+10_1_thi=all:si=on:fd=off:random_seed=3839421631:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 6.58/1.82  % (3344040)Instruction limit reached! 
% 6.58/1.82  % (3344040)------------------------------
% 6.58/1.82  % (3344040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.82  % (3344040)CaDiCaL version: 2.1.3
% 6.58/1.82  % (3344040)Termination reason: Instruction limit
% 6.58/1.82  % (3344040)Termination phase: Saturation
% 6.58/1.82  % (3344040)Time elapsed: 0.059 s
% 6.58/1.82  % (3344040)Peak memory usage: 116 MB
% 6.58/1.82  % (3344040)Instructions burned: 53 (million)
% 6.58/1.82  % (3344039)Instruction limit reached! 
% 6.58/1.82  % (3344039)------------------------------
% 6.58/1.82  % (3344039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.82  % (3344039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344039)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344039)Termination reason: Instruction limit
% 9.86/2.12  % (3344039)Termination phase: Saturation
% 9.86/2.12  % (3344039)Time elapsed: 0.088 s
% 9.86/2.12  % (3344039)Peak memory usage: 134 MB
% 9.86/2.12  % (3344039)Instructions burned: 67 (million)
% 9.86/2.12  % (3344041)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1096868157:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 9.86/2.12  % (3344041)Instruction limit reached! 
% 9.86/2.12  % (3344041)------------------------------
% 9.86/2.12  % (3344041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.12  % (3344041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344041)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344041)Termination reason: Instruction limit
% 9.86/2.12  % (3344041)Termination phase: Property scanning
% 9.86/2.12  % (3344041)Time elapsed: 0.004 s
% 9.86/2.12  % (3344041)Peak memory usage: 86 MB
% 9.86/2.12  % (3344041)Instructions burned: 8 (million)
% 9.86/2.12  % (3344019)------------------------------
% 9.86/2.12  % (3344019)------------------------------
% 9.86/2.12  % (3344043)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1535249063:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 9.86/2.12  % (3344043)Instruction limit reached! 
% 9.86/2.12  % (3344043)------------------------------
% 9.86/2.12  % (3344043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.12  % (3344043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344043)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344043)Termination reason: Instruction limit
% 9.86/2.12  % (3344043)Termination phase: Preprocessing 3
% 9.86/2.12  % (3344043)Time elapsed: 0.004 s
% 9.86/2.12  % (3344043)Peak memory usage: 85 MB
% 9.86/2.12  % (3344043)Instructions burned: 3 (million)
% 9.86/2.12  % (3344047)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3285556122:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 9.86/2.12  % (3344047)Instruction limit reached! 
% 9.86/2.12  % (3344047)------------------------------
% 9.86/2.12  % (3344047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.12  % (3344047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344047)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344047)Termination reason: Instruction limit
% 9.86/2.12  % (3344047)Termination phase: Property scanning
% 9.86/2.12  % (3344047)Time elapsed: 0.002 s
% 9.86/2.12  % (3344047)Peak memory usage: 85 MB
% 9.86/2.12  % (3344047)Instructions burned: 2 (million)
% 9.86/2.12  % (3344062)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3772575200:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2993 on theBenchmark for (2993ds/35Mi)
% 9.86/2.12  % (3344062)Instruction limit reached! 
% 9.86/2.12  % (3344062)------------------------------
% 9.86/2.12  % (3344062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.12  % (3344062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344062)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344062)Termination reason: Instruction limit
% 9.86/2.12  % (3344062)Termination phase: Saturation
% 9.86/2.12  % (3344062)Time elapsed: 0.015 s
% 9.86/2.12  % (3344062)Peak memory usage: 89 MB
% 9.86/2.12  % (3344062)Instructions burned: 39 (million)
% 9.86/2.12  % (3344035)------------------------------
% 9.86/2.12  % (3344035)------------------------------
% 9.86/2.12  % (3344049)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3984884429:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 9.86/2.12  % (3344050)dis+10_1_si=on:random_seed=71595925:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 9.86/2.12  % (3344050)Instruction limit reached! 
% 9.86/2.12  % (3344050)------------------------------
% 9.86/2.12  % (3344050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.12  % (3344050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.12  % (3344050)CaDiCaL version: 2.1.3
% 9.86/2.12  % (3344050)Termination reason: Instruction limit
% 9.86/2.12  % (3344050)Termination phase: Saturation
% 9.86/2.12  % (3344050)Time elapsed: 0.011 s
% 9.86/2.12  % (3344050)Peak memory usage: 88 MB
% 9.86/2.12  % (3344050)Instructions burned: 10 (million)
% 10.83/2.31  % (3344053)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2686369171:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 10.83/2.31  % (3344053)Refutation not found, incomplete strategy
% 10.83/2.31  % (3344053)------------------------------
% 10.83/2.31  % (3344053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344053)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344053)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.31  % (3344053)Time elapsed: 0.012 s
% 10.83/2.31  % (3344053)Peak memory usage: 88 MB
% 10.83/2.31  % (3344053)Instructions burned: 11 (million)
% 10.83/2.31  % (3344063)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1911570268:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 10.83/2.31  % (3344063)Instruction limit reached! 
% 10.83/2.31  % (3344063)------------------------------
% 10.83/2.31  % (3344063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344063)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344063)Termination reason: Instruction limit
% 10.83/2.31  % (3344063)Termination phase: Property scanning
% 10.83/2.31  % (3344063)Time elapsed: 0.003 s
% 10.83/2.31  % (3344063)Peak memory usage: 85 MB
% 10.83/2.31  % (3344063)Instructions burned: 2 (million)
% 10.83/2.31  % (3344068)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4112795256:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 10.83/2.31  % (3344068)Refutation not found, incomplete strategy
% 10.83/2.31  % (3344068)------------------------------
% 10.83/2.31  % (3344068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344068)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344068)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.31  % (3344068)Time elapsed: 0.004 s
% 10.83/2.31  % (3344068)Peak memory usage: 88 MB
% 10.83/2.31  % (3344068)Instructions burned: 9 (million)
% 10.83/2.31  % (3344065)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=909320630:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2992 on theBenchmark for (2992ds/8Mi)
% 10.83/2.31  % (3344065)Instruction limit reached! 
% 10.83/2.31  % (3344065)------------------------------
% 10.83/2.31  % (3344065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344065)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344065)Termination reason: Instruction limit
% 10.83/2.31  % (3344065)Termination phase: Saturation
% 10.83/2.31  % (3344065)Time elapsed: 0.007 s
% 10.83/2.31  % (3344065)Peak memory usage: 87 MB
% 10.83/2.31  % (3344065)Instructions burned: 8 (million)
% 10.83/2.31  % (3344049)Instruction limit reached! 
% 10.83/2.31  % (3344049)------------------------------
% 10.83/2.31  % (3344049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344049)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344049)Termination reason: Instruction limit
% 10.83/2.31  % (3344049)Termination phase: Saturation
% 10.83/2.31  % (3344049)Time elapsed: 0.167 s
% 10.83/2.31  % (3344049)Peak memory usage: 116 MB
% 10.83/2.31  % (3344049)Instructions burned: 127 (million)
% 10.83/2.31  % (3344080)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3263605823:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/13Mi)
% 10.83/2.31  % (3344068)------------------------------
% 10.83/2.31  % (3344068)------------------------------
% 10.83/2.31  % (3344081)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3486284124:i=226:rtra=on:gtg=position:ss=axioms_2991 on theBenchmark for (2991ds/226Mi)
% 10.83/2.31  % (3344080)Instruction limit reached! 
% 10.83/2.31  % (3344080)------------------------------
% 10.83/2.31  % (3344080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.31  % (3344080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.31  % (3344080)CaDiCaL version: 2.1.3
% 10.83/2.31  % (3344080)Termination reason: Instruction limit
% 12.81/2.71  % (3344080)Termination phase: Saturation
% 12.81/2.71  % (3344080)Time elapsed: 0.042 s
% 12.81/2.71  % (3344080)Peak memory usage: 110 MB
% 12.81/2.71  % (3344080)Instructions burned: 13 (million)
% 12.81/2.71  % (3344081)Refutation not found, incomplete strategy
% 12.81/2.71  % (3344081)------------------------------
% 12.81/2.71  % (3344081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.71  % (3344081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.71  % (3344081)CaDiCaL version: 2.1.3
% 12.81/2.71  % (3344081)Termination reason: Refutation not found, incomplete strategy
% 12.81/2.71  % (3344081)Time elapsed: 0.045 s
% 12.81/2.71  % (3344081)Peak memory usage: 115 MB
% 12.81/2.71  % (3344081)Instructions burned: 9 (million)
% 12.81/2.71  % (3344086)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1930338165:i=10:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 12.81/2.71  % (3344053)------------------------------
% 12.81/2.71  % (3344053)------------------------------
% 12.81/2.71  % (3344086)Instruction limit reached! 
% 12.81/2.71  % (3344086)------------------------------
% 12.81/2.71  % (3344086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.71  % (3344086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.71  % (3344086)CaDiCaL version: 2.1.3
% 12.81/2.71  % (3344086)Termination reason: Instruction limit
% 12.81/2.71  % (3344086)Termination phase: Saturation
% 12.81/2.71  % (3344086)Time elapsed: 0.010 s
% 12.81/2.71  % (3344086)Peak memory usage: 88 MB
% 12.81/2.71  % (3344086)Instructions burned: 10 (million)
% 12.81/2.71  % (3344091)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3787348874:i=71:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/71Mi)
% 12.81/2.71  % (3344093)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1216444582:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2989 on theBenchmark for (2989ds/75Mi)
% 12.81/2.71  % (3344101)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3395620280:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2988 on theBenchmark for (2988ds/294Mi)
% 12.81/2.71  % (3344093)Instruction limit reached! 
% 12.81/2.71  % (3344093)------------------------------
% 12.81/2.71  % (3344093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.71  % (3344093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.71  % (3344093)CaDiCaL version: 2.1.3
% 12.81/2.71  % (3344093)Termination reason: Instruction limit
% 12.81/2.71  % (3344093)Termination phase: Saturation
% 12.81/2.71  % (3344093)Time elapsed: 0.049 s
% 12.81/2.71  % (3344093)Peak memory usage: 90 MB
% 12.81/2.71  % (3344093)Instructions burned: 76 (million)
% 12.81/2.71  % (3344108)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2079987618:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2987 on theBenchmark for (2987ds/40Mi)
% 12.81/2.71  % (3344104)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1543487011:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/130Mi)
% 12.81/2.71  % (3344091)Instruction limit reached! 
% 12.81/2.71  % (3344091)------------------------------
% 12.81/2.71  % (3344091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.71  % (3344091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.71  % (3344091)CaDiCaL version: 2.1.3
% 12.81/2.71  % (3344091)Termination reason: Instruction limit
% 12.81/2.71  % (3344091)Termination phase: Saturation
% 12.81/2.71  % (3344091)Time elapsed: 0.118 s
% 12.81/2.71  % (3344091)Peak memory usage: 133 MB
% 12.81/2.71  % (3344091)Instructions burned: 71 (million)
% 12.81/2.71  % (3344107)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2456289124:i=131:rtra=on_2987 on theBenchmark for (2987ds/131Mi)
% 12.81/2.71  % (3344101)Instruction limit reached! 
% 12.81/2.71  % (3344101)------------------------------
% 12.81/2.71  % (3344101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.71  % (3344101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.71  % (3344101)CaDiCaL version: 2.1.3
% 12.81/2.71  % (3344101)Termination reason: Instruction limit
% 12.81/2.71  % (3344101)Termination phase: Saturation
% 12.81/2.71  % (3344101)Time elapsed: 0.107 s
% 12.81/2.71  % (3344101)Peak memory usage: 90 MB
% 14.40/2.93  % (3344101)Instructions burned: 296 (million)
% 14.40/2.93  % (3344108)Instruction limit reached! 
% 14.40/2.93  % (3344108)------------------------------
% 14.40/2.93  % (3344108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.93  % (3344108)CaDiCaL version: 2.1.3
% 14.40/2.93  % (3344108)Termination reason: Instruction limit
% 14.40/2.93  % (3344108)Termination phase: Saturation
% 14.40/2.93  % (3344108)Time elapsed: 0.066 s
% 14.40/2.93  % (3344108)Peak memory usage: 133 MB
% 14.40/2.93  % (3344108)Instructions burned: 41 (million)
% 14.40/2.93  % (3344081)------------------------------
% 14.40/2.93  % (3344081)------------------------------
% 14.40/2.93  % (3344104)Instruction limit reached! 
% 14.40/2.93  % (3344104)------------------------------
% 14.40/2.93  % (3344104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.93  % (3344104)CaDiCaL version: 2.1.3
% 14.40/2.93  % (3344104)Termination reason: Instruction limit
% 14.40/2.93  % (3344104)Termination phase: Saturation
% 14.40/2.93  % (3344104)Time elapsed: 0.096 s
% 14.40/2.93  % (3344104)Peak memory usage: 117 MB
% 14.40/2.93  % (3344104)Instructions burned: 131 (million)
% 14.40/2.93  % (3344117)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=443367615:i=307:rtra=on:gtg=exists_top_2986 on theBenchmark for (2986ds/307Mi)
% 14.40/2.93  % (3344117)Refutation not found, incomplete strategy
% 14.40/2.93  % (3344117)------------------------------
% 14.40/2.93  % (3344117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.93  % (3344117)CaDiCaL version: 2.1.3
% 14.40/2.93  % (3344117)Termination reason: Refutation not found, incomplete strategy
% 14.40/2.93  % (3344117)Time elapsed: 0.009 s
% 14.40/2.93  % (3344117)Peak memory usage: 89 MB
% 14.40/2.93  % (3344117)Instructions burned: 13 (million)
% 14.40/2.93  % (3344107)Instruction limit reached! 
% 14.40/2.93  % (3344107)------------------------------
% 14.40/2.93  % (3344107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.93  % (3344107)CaDiCaL version: 2.1.3
% 14.40/2.93  % (3344107)Termination reason: Instruction limit
% 14.40/2.93  % (3344107)Termination phase: Saturation
% 14.40/2.93  % (3344107)Time elapsed: 0.133 s
% 14.40/2.93  % (3344107)Peak memory usage: 134 MB
% 14.40/2.93  % (3344107)Instructions burned: 132 (million)
% 14.40/2.93  % (3344122)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1853997179:i=131:canc=cautious:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 14.40/2.93  % (3344121)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3733860257:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/598Mi)
% 14.40/2.93  % (3344123)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1488663720:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2985 on theBenchmark for (2985ds/259Mi)
% 14.40/2.93  % (3344122)Instruction limit reached! 
% 14.40/2.93  % (3344122)------------------------------
% 14.40/2.93  % (3344122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.93  % (3344122)CaDiCaL version: 2.1.3
% 14.40/2.93  % (3344122)Termination reason: Instruction limit
% 14.40/2.93  % (3344122)Termination phase: Saturation
% 14.40/2.93  % (3344122)Time elapsed: 0.062 s
% 14.40/2.93  % (3344122)Peak memory usage: 119 MB
% 14.40/2.93  % (3344122)Instructions burned: 133 (million)
% 14.40/2.93  % (3344124)dis+10_1_si=on:random_seed=2404670203:s2a=on:i=1000:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/1000Mi)
% 14.40/2.93  % (3344125)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3161562604:i=383:fsr=off:rtra=on:ev=force_2985 on theBenchmark for (2985ds/383Mi)
% 14.40/2.93  % (3344123)Refutation not found, incomplete strategy
% 14.40/2.93  % (3344123)------------------------------
% 14.40/2.93  % (3344123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.40/2.93  % (3344123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344123)CaDiCaL version: 2.1.3
% 17.38/3.19  % (3344123)Termination reason: Refutation not found, incomplete strategy
% 17.38/3.19  % (3344123)Time elapsed: 0.033 s
% 17.38/3.19  % (3344123)Peak memory usage: 115 MB
% 17.38/3.19  % (3344123)Instructions burned: 13 (million)
% 17.38/3.19  % (3344129)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=215341619:i=141:doe=on:rtra=on_2984 on theBenchmark for (2984ds/141Mi)
% 17.38/3.19  % (3344132)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=2988522047:i=65:nm=16:rtra=on_2983 on theBenchmark for (2983ds/65Mi)
% 17.38/3.19  % (3344132)Refutation not found, incomplete strategy
% 17.38/3.19  % (3344132)------------------------------
% 17.38/3.19  % (3344132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.19  % (3344132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344132)CaDiCaL version: 2.1.3
% 17.38/3.19  % (3344132)Termination reason: Refutation not found, incomplete strategy
% 17.38/3.19  % (3344132)Time elapsed: 0.020 s
% 17.38/3.19  % (3344132)Peak memory usage: 115 MB
% 17.38/3.19  % (3344132)Instructions burned: 16 (million)
% 17.38/3.19  % (3344117)------------------------------
% 17.38/3.19  % (3344117)------------------------------
% 17.38/3.19  % (3344129)Instruction limit reached! 
% 17.38/3.19  % (3344129)------------------------------
% 17.38/3.19  % (3344129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.19  % (3344129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344129)CaDiCaL version: 2.1.3
% 17.38/3.19  % (3344129)Termination reason: Instruction limit
% 17.38/3.19  % (3344129)Termination phase: Saturation
% 17.38/3.19  % (3344129)Time elapsed: 0.094 s
% 17.38/3.19  % (3344129)Peak memory usage: 90 MB
% 17.38/3.19  % (3344129)Instructions burned: 141 (million)
% 17.38/3.19  % (3344125)Instruction limit reached! 
% 17.38/3.19  % (3344125)------------------------------
% 17.38/3.19  % (3344125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.19  % (3344125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344125)CaDiCaL version: 2.1.3
% 17.38/3.19  % (3344125)Termination reason: Instruction limit
% 17.38/3.19  % (3344125)Termination phase: Saturation
% 17.38/3.19  % (3344125)Time elapsed: 0.209 s
% 17.38/3.19  % (3344125)Peak memory usage: 95 MB
% 17.38/3.19  % (3344125)Instructions burned: 383 (million)
% 17.38/3.19  % (3344123)------------------------------
% 17.38/3.19  % (3344123)------------------------------
% 17.38/3.19  % (3344132)------------------------------
% 17.38/3.19  % (3344132)------------------------------
% 17.38/3.19  % (3344137)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1219542173:i=121:nm=16:rtra=on_2982 on theBenchmark for (2982ds/121Mi)
% 17.38/3.19  % (3344151)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=3182010984:s2a=on:i=128:s2at=5:ins=3:rtra=on_2981 on theBenchmark for (2981ds/128Mi)
% 17.38/3.19  % (3344172)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=1976638160:i=39:ins=3:rtra=on_2981 on theBenchmark for (2981ds/39Mi)
% 17.38/3.19  % (3344137)Instruction limit reached! 
% 17.38/3.19  % (3344137)------------------------------
% 17.38/3.19  % (3344137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.19  % (3344137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344137)CaDiCaL version: 2.1.3
% 17.38/3.19  % (3344137)Termination reason: Instruction limit
% 17.38/3.19  % (3344137)Termination phase: Saturation
% 17.38/3.19  % (3344137)Time elapsed: 0.074 s
% 17.38/3.19  % (3344137)Peak memory usage: 89 MB
% 17.38/3.19  % (3344137)Instructions burned: 121 (million)
% 17.38/3.19  % (3344194)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3916905543:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/329Mi)
% 17.38/3.19  % (3344185)dis+1010_1_to=kbo:si=on:random_seed=1065241504:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2981 on theBenchmark for (2981ds/175Mi)
% 17.38/3.19  % (3344121)Instruction limit reached! 
% 17.38/3.19  % (3344121)------------------------------
% 17.38/3.19  % (3344121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.19  % (3344121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.19  % (3344121)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344121)Termination reason: Instruction limit
% 18.82/3.59  % (3344121)Termination phase: Saturation
% 18.82/3.59  % (3344121)Time elapsed: 0.480 s
% 18.82/3.59  % (3344121)Peak memory usage: 140 MB
% 18.82/3.59  % (3344121)Instructions burned: 598 (million)
% 18.82/3.59  % (3344172)Instruction limit reached! 
% 18.82/3.59  % (3344172)------------------------------
% 18.82/3.59  % (3344172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344172)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344172)Termination reason: Instruction limit
% 18.82/3.59  % (3344172)Termination phase: Saturation
% 18.82/3.59  % (3344172)Time elapsed: 0.046 s
% 18.82/3.59  % (3344172)Peak memory usage: 116 MB
% 18.82/3.59  % (3344172)Instructions burned: 39 (million)
% 18.82/3.59  % (3344151)Instruction limit reached! 
% 18.82/3.59  % (3344151)------------------------------
% 18.82/3.59  % (3344151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344151)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344151)Termination reason: Instruction limit
% 18.82/3.59  % (3344151)Termination phase: Saturation
% 18.82/3.59  % (3344151)Time elapsed: 0.096 s
% 18.82/3.59  % (3344151)Peak memory usage: 116 MB
% 18.82/3.59  % (3344151)Instructions burned: 128 (million)
% 18.82/3.59  % (3344224)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=864679231:s2a=on:i=483:doe=on:nm=32:rtra=on_2980 on theBenchmark for (2980ds/483Mi)
% 18.82/3.59  % (3344194)Instruction limit reached! 
% 18.82/3.59  % (3344194)------------------------------
% 18.82/3.59  % (3344194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344194)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344194)Termination reason: Instruction limit
% 18.82/3.59  % (3344194)Termination phase: Saturation
% 18.82/3.59  % (3344194)Time elapsed: 0.137 s
% 18.82/3.59  % (3344194)Peak memory usage: 118 MB
% 18.82/3.59  % (3344194)Instructions burned: 331 (million)
% 18.82/3.59  % (3344185)Instruction limit reached! 
% 18.82/3.59  % (3344185)------------------------------
% 18.82/3.59  % (3344185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344185)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344185)Termination reason: Instruction limit
% 18.82/3.59  % (3344185)Termination phase: Saturation
% 18.82/3.59  % (3344185)Time elapsed: 0.129 s
% 18.82/3.59  % (3344185)Peak memory usage: 92 MB
% 18.82/3.59  % (3344185)Instructions burned: 176 (million)
% 18.82/3.59  % (3344243)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=3910764038:i=349:rtra=on_2979 on theBenchmark for (2979ds/349Mi)
% 18.82/3.59  % (3344242)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=1014688283:thitd=on:i=215:nm=0:rtra=on:ev=force_2979 on theBenchmark for (2979ds/215Mi)
% 18.82/3.59  % (3344246)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=2173617191:st=2:i=295:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/295Mi)
% 18.82/3.59  % (3344243)Refutation not found, incomplete strategy
% 18.82/3.59  % (3344243)------------------------------
% 18.82/3.59  % (3344243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344243)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344243)Termination reason: Refutation not found, incomplete strategy
% 18.82/3.59  % (3344243)Time elapsed: 0.041 s
% 18.82/3.59  % (3344243)Peak memory usage: 116 MB
% 18.82/3.59  % (3344243)Instructions burned: 27 (million)
% 18.82/3.59  % (3344124)Instruction limit reached! 
% 18.82/3.59  % (3344124)------------------------------
% 18.82/3.59  % (3344124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.82/3.59  % (3344124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.82/3.59  % (3344124)CaDiCaL version: 2.1.3
% 18.82/3.59  % (3344124)Termination reason: Instruction limit
% 18.82/3.59  % (3344124)Termination phase: Saturation
% 18.82/3.59  % (3344124)Time elapsed: 0.606 s
% 18.82/3.59  % (3344124)Peak memory usage: 94 MB
% 18.82/3.59  % (3344124)Instructions burned: 1000 (million)
% 18.82/3.59  % (3344257)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=537507424:i=328:kws=inv_frequency:nm=20:rtra=on_2978 on theBenchmark for (2978ds/328Mi)
% 20.37/3.85  % (3344258)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=616084104:i=281:gtgl=2:rtra=on:gtg=all_2978 on theBenchmark for (2978ds/281Mi)
% 20.37/3.85  % (3344242)Instruction limit reached! 
% 20.37/3.85  % (3344242)------------------------------
% 20.37/3.85  % (3344242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344242)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344242)Termination reason: Instruction limit
% 20.37/3.85  % (3344242)Termination phase: Saturation
% 20.37/3.85  % (3344242)Time elapsed: 0.174 s
% 20.37/3.85  % (3344242)Peak memory usage: 136 MB
% 20.37/3.85  % (3344242)Instructions burned: 215 (million)
% 20.37/3.85  % (3344246)Instruction limit reached! 
% 20.37/3.85  % (3344246)------------------------------
% 20.37/3.85  % (3344246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344246)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344246)Termination reason: Instruction limit
% 20.37/3.85  % (3344246)Termination phase: Saturation
% 20.37/3.85  % (3344246)Time elapsed: 0.169 s
% 20.37/3.85  % (3344246)Peak memory usage: 90 MB
% 20.37/3.85  % (3344246)Instructions burned: 295 (million)
% 20.37/3.85  % (3344257)Instruction limit reached! 
% 20.37/3.85  % (3344257)------------------------------
% 20.37/3.85  % (3344257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344257)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344257)Termination reason: Instruction limit
% 20.37/3.85  % (3344257)Termination phase: Saturation
% 20.37/3.85  % (3344257)Time elapsed: 0.128 s
% 20.37/3.85  % (3344257)Peak memory usage: 118 MB
% 20.37/3.85  % (3344257)Instructions burned: 329 (million)
% 20.37/3.85  % (3344271)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=703775916:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/484Mi)
% 20.37/3.85  % (3344271)Refutation not found, incomplete strategy
% 20.37/3.85  % (3344271)------------------------------
% 20.37/3.85  % (3344271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344271)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344271)Termination reason: Refutation not found, incomplete strategy
% 20.37/3.85  % (3344271)Time elapsed: 0.004 s
% 20.37/3.85  % (3344271)Peak memory usage: 89 MB
% 20.37/3.85  % (3344271)Instructions burned: 5 (million)
% 20.37/3.85  % (3344243)------------------------------
% 20.37/3.85  % (3344243)------------------------------
% 20.37/3.85  % (3344315)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=4042757748:i=471:thf=on:kws=precedence:rtra=on_2976 on theBenchmark for (2976ds/471Mi)
% 20.37/3.85  % (3344313)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3840910819:i=416:rtra=on:gtg=position:ss=axioms_2976 on theBenchmark for (2976ds/416Mi)
% 20.37/3.85  % (3344312)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=1704897319:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_2976 on theBenchmark for (2976ds/321Mi)
% 20.37/3.85  % (3344258)Instruction limit reached! 
% 20.37/3.85  % (3344258)------------------------------
% 20.37/3.85  % (3344258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344258)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344258)Termination reason: Instruction limit
% 20.37/3.85  % (3344258)Termination phase: Saturation
% 20.37/3.85  % (3344258)Time elapsed: 0.195 s
% 20.37/3.85  % (3344258)Peak memory usage: 117 MB
% 20.37/3.85  % (3344258)Instructions burned: 282 (million)
% 20.37/3.85  % (3344224)Instruction limit reached! 
% 20.37/3.85  % (3344224)------------------------------
% 20.37/3.85  % (3344224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.37/3.85  % (3344224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.37/3.85  % (3344224)CaDiCaL version: 2.1.3
% 20.37/3.85  % (3344224)Termination reason: Instruction limit
% 20.37/3.85  % (3344224)Termination phase: Saturation
% 20.37/3.85  % (3344224)Time elapsed: 0.373 s
% 23.91/4.12  % (3344224)Peak memory usage: 136 MB
% 23.91/4.12  % (3344224)Instructions burned: 483 (million)
% 23.91/4.12  % (3344313)Refutation not found, incomplete strategy
% 23.91/4.12  % (3344313)------------------------------
% 23.91/4.12  % (3344313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.12  % (3344313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.12  % (3344313)CaDiCaL version: 2.1.3
% 23.91/4.12  % (3344313)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.12  % (3344313)Time elapsed: 0.030 s
% 23.91/4.12  % (3344313)Peak memory usage: 115 MB
% 23.91/4.12  % (3344313)Instructions burned: 9 (million)
% 23.91/4.12  % (3344316)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=174401872:avsq=on:i=276:avsqr=1,2:rtra=on_2975 on theBenchmark for (2975ds/276Mi)
% 23.91/4.12  % (3344271)------------------------------
% 23.91/4.12  % (3344271)------------------------------
% 23.91/4.12  % (3344315)Instruction limit reached! 
% 23.91/4.12  % (3344315)------------------------------
% 23.91/4.12  % (3344315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.12  % (3344315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.12  % (3344315)CaDiCaL version: 2.1.3
% 23.91/4.12  % (3344315)Termination reason: Instruction limit
% 23.91/4.12  % (3344315)Termination phase: Saturation
% 23.91/4.12  % (3344315)Time elapsed: 0.144 s
% 23.91/4.12  % (3344315)Peak memory usage: 118 MB
% 23.91/4.12  % (3344315)Instructions burned: 474 (million)
% 23.91/4.12  % (3344320)lrs+1010_2_to=kbo:sil=128000:tgt=ground:fde=unused:sas=z3:si=on:uwa=off:tha=off:nwc=1:random_seed=1263008266:i=375:kws=inv_arity_squared:rtra=on_2974 on theBenchmark for (2974ds/375Mi)
% 23.91/4.12  % (3344321)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=3668138574:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/387Mi)
% 23.91/4.12  % (3344312)Instruction limit reached! 
% 23.91/4.12  % (3344312)------------------------------
% 23.91/4.12  % (3344312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.12  % (3344312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.12  % (3344312)CaDiCaL version: 2.1.3
% 23.91/4.12  % (3344312)Termination reason: Instruction limit
% 23.91/4.12  % (3344312)Termination phase: Saturation
% 23.91/4.12  % (3344312)Time elapsed: 0.200 s
% 23.91/4.12  % (3344312)Peak memory usage: 114 MB
% 23.91/4.12  % (3344312)Instructions burned: 322 (million)
% 23.91/4.12  % (3344324)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3742050385:i=334:rtra=on_2973 on theBenchmark for (2973ds/334Mi)
% 23.91/4.12  % (3344313)------------------------------
% 23.91/4.12  % (3344313)------------------------------
% 23.91/4.12  % (3344323)lrs+10_1_to=kbo:sil=128000:fde=none:si=on:norm_ineq=on:urr=on:nwc=0.5:random_seed=907896642:i=513:kws=frequency:bd=all:rtra=on:gtg=exists_all:ss=axioms:sgt=4_2973 on theBenchmark for (2973ds/513Mi)
% 23.91/4.12  % (3344316)Instruction limit reached! 
% 23.91/4.12  % (3344316)------------------------------
% 23.91/4.12  % (3344316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.12  % (3344316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.12  % (3344316)CaDiCaL version: 2.1.3
% 23.91/4.12  % (3344316)Termination reason: Instruction limit
% 23.91/4.12  % (3344316)Termination phase: Saturation
% 23.91/4.12  % (3344316)Time elapsed: 0.245 s
% 23.91/4.12  % (3344316)Peak memory usage: 134 MB
% 23.91/4.12  % (3344316)Instructions burned: 276 (million)
% 23.91/4.12  % (3344327)lrs+1010_1_to=kbo:sil=64000:sas=cadical:si=on:sos=on:bce=on:random_seed=3079002922:i=359:rtra=on:gtg=exists_top:ss=axioms_2972 on theBenchmark for (2972ds/359Mi)
% 23.91/4.12  % (3344327)Refutation not found, incomplete strategy
% 23.91/4.12  % (3344327)------------------------------
% 23.91/4.12  % (3344327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.12  % (3344327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.12  % (3344327)CaDiCaL version: 2.1.3
% 23.91/4.12  % (3344327)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.12  % (3344327)Time elapsed: 0.004 s
% 23.91/4.12  % (3344327)Peak memory usage: 89 MB
% 23.91/4.12  % (3344327)Instructions burned: 6 (million)
% 23.91/4.12  % (3344324)Instruction limit reached! 
% 23.91/4.12  % (3344324)------------------------------
% 26.35/4.57  % (3344324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344324)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344324)Termination reason: Instruction limit
% 26.35/4.57  % (3344324)Termination phase: Saturation
% 26.35/4.57  % (3344324)Time elapsed: 0.146 s
% 26.35/4.57  % (3344324)Peak memory usage: 135 MB
% 26.35/4.57  % (3344324)Instructions burned: 335 (million)
% 26.35/4.57  % (3344320)Instruction limit reached! 
% 26.35/4.57  % (3344320)------------------------------
% 26.35/4.57  % (3344320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344320)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344320)Termination reason: Instruction limit
% 26.35/4.57  % (3344320)Termination phase: Saturation
% 26.35/4.57  % (3344320)Time elapsed: 0.243 s
% 26.35/4.57  % (3344320)Peak memory usage: 120 MB
% 26.35/4.57  % (3344320)Instructions burned: 377 (million)
% 26.35/4.57  % (3344329)dis+1010_1_to=lpo:sil=128000:thi=all:fde=unused:si=on:sp=reverse_arity:tha=off:random_seed=1853641969:i=341:gtgl=2:rtra=on:gtg=exists_sym:ev=force:fsd=on:fsdmm=1_2972 on theBenchmark for (2972ds/341Mi)
% 26.35/4.57  % (3344321)Instruction limit reached! 
% 26.35/4.57  % (3344321)------------------------------
% 26.35/4.57  % (3344321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344321)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344321)Termination reason: Instruction limit
% 26.35/4.57  % (3344321)Termination phase: Saturation
% 26.35/4.57  % (3344321)Time elapsed: 0.285 s
% 26.35/4.57  % (3344321)Peak memory usage: 119 MB
% 26.35/4.57  % (3344321)Instructions burned: 388 (million)
% 26.35/4.57  % (3344332)lrs-2_1_to=kbo:sil=64000:tgt=ground:sas=z3:si=on:sp=const_max:tha=off:random_seed=1134248138:st=1.5:i=261:sd=1:kws=precedence:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/261Mi)
% 26.35/4.57  % (3344333)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1962027414:s2pl=no:i=235:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2970 on theBenchmark for (2970ds/235Mi)
% 26.35/4.57  % (3344334)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=2760362000:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_2970 on theBenchmark for (2970ds/273Mi)
% 26.35/4.57  % (3344333)Refutation not found, incomplete strategy
% 26.35/4.57  % (3344333)------------------------------
% 26.35/4.57  % (3344333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344333)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344333)Termination reason: Refutation not found, incomplete strategy
% 26.35/4.57  % (3344333)Time elapsed: 0.032 s
% 26.35/4.57  % (3344333)Peak memory usage: 115 MB
% 26.35/4.57  % (3344333)Instructions burned: 13 (million)
% 26.35/4.57  % (3344327)------------------------------
% 26.35/4.57  % (3344327)------------------------------
% 26.35/4.57  % (3344323)Instruction limit reached! 
% 26.35/4.57  % (3344323)------------------------------
% 26.35/4.57  % (3344323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344323)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344323)Termination reason: Instruction limit
% 26.35/4.57  % (3344323)Termination phase: Saturation
% 26.35/4.57  % (3344323)Time elapsed: 0.327 s
% 26.35/4.57  % (3344323)Peak memory usage: 94 MB
% 26.35/4.57  % (3344323)Instructions burned: 513 (million)
% 26.35/4.57  % (3344336)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1505343844:i=146:doe=on:rtra=on_2970 on theBenchmark for (2970ds/146Mi)
% 26.35/4.57  % (3344329)Instruction limit reached! 
% 26.35/4.57  % (3344329)------------------------------
% 26.35/4.57  % (3344329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.57  % (3344329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.57  % (3344329)CaDiCaL version: 2.1.3
% 26.35/4.57  % (3344329)Termination reason: Instruction limit
% 26.35/4.57  % (3344329)Termination phase: Saturation
% 26.35/4.57  % (3344329)Time elapsed: 0.243 s
% 26.35/4.57  % (3344329)Peak memory usage: 120 MB
% 28.13/5.01  % (3344329)Instructions burned: 342 (million)
% 28.13/5.01  % (3344332)Instruction limit reached! 
% 28.13/5.01  % (3344332)------------------------------
% 28.13/5.01  % (3344332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/5.01  % (3344332)CaDiCaL version: 2.1.3
% 28.13/5.01  % (3344332)Termination reason: Instruction limit
% 28.13/5.01  % (3344332)Termination phase: Saturation
% 28.13/5.01  % (3344332)Time elapsed: 0.158 s
% 28.13/5.01  % (3344332)Peak memory usage: 116 MB
% 28.13/5.01  % (3344332)Instructions burned: 262 (million)
% 28.13/5.01  % (3344336)Instruction limit reached! 
% 28.13/5.01  % (3344336)------------------------------
% 28.13/5.01  % (3344336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/5.01  % (3344336)CaDiCaL version: 2.1.3
% 28.13/5.01  % (3344336)Termination reason: Instruction limit
% 28.13/5.01  % (3344336)Termination phase: Saturation
% 28.13/5.01  % (3344336)Time elapsed: 0.096 s
% 28.13/5.01  % (3344336)Peak memory usage: 90 MB
% 28.13/5.01  % (3344336)Instructions burned: 147 (million)
% 28.13/5.01  % (3344334)Instruction limit reached! 
% 28.13/5.01  % (3344334)------------------------------
% 28.13/5.01  % (3344334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/5.01  % (3344334)CaDiCaL version: 2.1.3
% 28.13/5.01  % (3344334)Termination reason: Instruction limit
% 28.13/5.01  % (3344334)Termination phase: Saturation
% 28.13/5.01  % (3344334)Time elapsed: 0.179 s
% 28.13/5.01  % (3344334)Peak memory usage: 91 MB
% 28.13/5.01  % (3344334)Instructions burned: 273 (million)
% 28.13/5.01  % (3344340)dis+11_1_slsqr=1,2:to=lpo:plsq=on:si=on:norm_ineq=on:slsq=on:random_seed=1917582442:i=4428:doe=on:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/4428Mi)
% 28.13/5.01  % (3344341)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=1925765999:avsq=on:i=276:avsqr=1,2:rtra=on_2968 on theBenchmark for (2968ds/276Mi)
% 28.13/5.01  % (3344344)lrs+1011_12_to=kbo:tgt=ground:si=on:gve=force:acc=on:tha=off:random_seed=4155945554:i=655:kws=inv_arity_squared:rtra=on:gtg=exists_sym_2968 on theBenchmark for (2968ds/655Mi)
% 28.13/5.01  % (3344343)dis+1011_1_to=kbo:sil=128000:tgt=full:si=on:spb=intro:lsd=50:tha=some:fd=preordered:sac=on:random_seed=3624098438:i=1052:rtra=on_2968 on theBenchmark for (2968ds/1052Mi)
% 28.13/5.01  % (3344333)------------------------------
% 28.13/5.01  % (3344333)------------------------------
% 28.13/5.01  % (3344344)Refutation not found, incomplete strategy
% 28.13/5.01  % (3344344)------------------------------
% 28.13/5.01  % (3344344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/5.01  % (3344344)CaDiCaL version: 2.1.3
% 28.13/5.01  % (3344344)Termination reason: Refutation not found, incomplete strategy
% 28.13/5.01  % (3344344)Time elapsed: 0.013 s
% 28.13/5.01  % (3344344)Peak memory usage: 89 MB
% 28.13/5.01  % (3344344)Instructions burned: 19 (million)
% 28.13/5.01  % (3344345)dis+1011_14_to=kbo:tgt=ground:drc=ordering:fde=none:si=on:uwa=func_ext:tha=off:random_seed=3423219600:st=5:i=1054:nm=32:av=off:rtra=on:ss=axioms:ev=cautious_2967 on theBenchmark for (2967ds/1054Mi)
% 28.13/5.01  % (3344345)Refutation not found, incomplete strategy
% 28.13/5.01  % (3344345)------------------------------
% 28.13/5.01  % (3344345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/5.01  % (3344345)CaDiCaL version: 2.1.3
% 28.13/5.01  % (3344345)Termination reason: Refutation not found, incomplete strategy
% 28.13/5.01  % (3344345)Time elapsed: 0.018 s
% 28.13/5.01  % (3344345)Peak memory usage: 89 MB
% 28.13/5.01  % (3344345)Instructions burned: 25 (million)
% 28.13/5.01  % (3344347)lrs-1002_1_to=kbo:sas=z3:si=on:norm_ineq=on:sos=on:tha=some:random_seed=4231406260:i=107:rtra=on_2967 on theBenchmark for (2967ds/107Mi)
% 28.13/5.01  % (3344347)Refutation not found, incomplete strategy
% 28.13/5.01  % (3344347)------------------------------
% 28.13/5.01  % (3344347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/5.01  % (3344347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344347)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344347)Termination reason: Refutation not found, incomplete strategy
% 32.03/5.27  % (3344347)Time elapsed: 0.034 s
% 32.03/5.27  % (3344347)Peak memory usage: 115 MB
% 32.03/5.27  % (3344347)Instructions burned: 17 (million)
% 32.03/5.27  % (3344351)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=4266284307:s2a=on:i=450:doe=on:nm=32:rtra=on_2966 on theBenchmark for (2966ds/450Mi)
% 32.03/5.27  % (3344341)Instruction limit reached! 
% 32.03/5.27  % (3344341)------------------------------
% 32.03/5.27  % (3344341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344341)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344341)Termination reason: Instruction limit
% 32.03/5.27  % (3344341)Termination phase: Saturation
% 32.03/5.27  % (3344341)Time elapsed: 0.243 s
% 32.03/5.27  % (3344341)Peak memory usage: 134 MB
% 32.03/5.27  % (3344341)Instructions burned: 277 (million)
% 32.03/5.27  % (3344344)------------------------------
% 32.03/5.27  % (3344344)------------------------------
% 32.03/5.27  % (3344345)------------------------------
% 32.03/5.27  % (3344345)------------------------------
% 32.03/5.27  % (3344351)Instruction limit reached! 
% 32.03/5.27  % (3344351)------------------------------
% 32.03/5.27  % (3344351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344351)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344351)Termination reason: Instruction limit
% 32.03/5.27  % (3344351)Termination phase: Saturation
% 32.03/5.27  % (3344351)Time elapsed: 0.190 s
% 32.03/5.27  % (3344351)Peak memory usage: 136 MB
% 32.03/5.27  % (3344351)Instructions burned: 452 (million)
% 32.03/5.27  % (3344355)WARNING Broken Constraint: if demodulation_redundancy_check(ordering) has been set then forward_demodulation(off) is not equal to off or backward_demodulation(off) is not equal to off or partial_redundancy_check(off) is not equal to off
% 32.03/5.27  % (3344355)lrs+1010_1_to=lpo:drc=ordering:sims=off:sas=z3:si=on:tha=off:fd=off:random_seed=3352232171:i=1090:aac=none:nm=0:rtra=on:rawr=on_2964 on theBenchmark for (2964ds/1090Mi)
% 32.03/5.27  % (3344347)------------------------------
% 32.03/5.27  % (3344347)------------------------------
% 32.03/5.27  % (3344356)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=840261050:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2964 on theBenchmark for (2964ds/130Mi)
% 32.03/5.27  % (3344357)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=3497676207:i=312:kws=inv_frequency:nm=20:rtra=on_2963 on theBenchmark for (2963ds/312Mi)
% 32.03/5.27  % (3344358)ott+10_1_to=kbo:sil=64000:si=on:sp=reverse_frequency:sos=on:random_seed=2073778160:i=491:doe=on:rtra=on:gtg=position_2963 on theBenchmark for (2963ds/491Mi)
% 32.03/5.27  % (3344358)Refutation not found, incomplete strategy
% 32.03/5.27  % (3344358)------------------------------
% 32.03/5.27  % (3344358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344358)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344358)Termination reason: Refutation not found, incomplete strategy
% 32.03/5.27  % (3344358)Time elapsed: 0.008 s
% 32.03/5.27  % (3344358)Peak memory usage: 89 MB
% 32.03/5.27  % (3344358)Instructions burned: 12 (million)
% 32.03/5.27  % (3344356)Instruction limit reached! 
% 32.03/5.27  % (3344356)------------------------------
% 32.03/5.27  % (3344356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344356)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344356)Termination reason: Instruction limit
% 32.03/5.27  % (3344356)Termination phase: Saturation
% 32.03/5.27  % (3344356)Time elapsed: 0.095 s
% 32.03/5.27  % (3344356)Peak memory usage: 117 MB
% 32.03/5.27  % (3344356)Instructions burned: 132 (million)
% 32.03/5.27  % (3344360)ott+1011_4:1_to=lpo:sil=64000:si=on:spb=intro:random_seed=1230031626:s2a=on:i=835:s2at=2:rtra=on_2962 on theBenchmark for (2962ds/835Mi)
% 32.03/5.27  % (3344357)Instruction limit reached! 
% 32.03/5.27  % (3344357)------------------------------
% 32.03/5.27  % (3344357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344357)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344357)Termination reason: Instruction limit
% 32.03/5.27  % (3344357)Termination phase: Saturation
% 32.03/5.27  % (3344357)Time elapsed: 0.118 s
% 32.03/5.27  % (3344357)Peak memory usage: 118 MB
% 32.03/5.27  % (3344357)Instructions burned: 313 (million)
% 32.03/5.27  % (3344343)Instruction limit reached! 
% 32.03/5.27  % (3344343)------------------------------
% 32.03/5.27  % (3344343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344343)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344343)Termination reason: Instruction limit
% 32.03/5.27  % (3344343)Termination phase: Saturation
% 32.03/5.27  % (3344343)Time elapsed: 0.636 s
% 32.03/5.27  % (3344343)Peak memory usage: 92 MB
% 32.03/5.27  % (3344343)Instructions burned: 1053 (million)
% 32.03/5.27  % (3344364)ott+1011_2_to=lpo:sil=128000:si=on:sos=on:random_seed=2896667941:i=307:bd=preordered:av=off:rtra=on:ev=cautious_2961 on theBenchmark for (2961ds/307Mi)
% 32.03/5.27  % (3344366)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=478154051:i=776:doe=on:rtra=on_2960 on theBenchmark for (2960ds/776Mi)
% 32.03/5.27  % (3344358)------------------------------
% 32.03/5.27  % (3344358)------------------------------
% 32.03/5.27  % (3344367)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1840109039:s2a=on:i=646:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2960 on theBenchmark for (2960ds/646Mi)
% 32.03/5.27  % (3344364)Instruction limit reached! 
% 32.03/5.27  % (3344364)------------------------------
% 32.03/5.27  % (3344364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344364)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344364)Termination reason: Instruction limit
% 32.03/5.27  % (3344364)Termination phase: Saturation
% 32.03/5.27  % (3344364)Time elapsed: 0.150 s
% 32.03/5.27  % (3344364)Peak memory usage: 90 MB
% 32.03/5.27  % (3344364)Instructions burned: 307 (million)
% 32.03/5.27  % (3344370)lrs-1011_1_to=lpo:sil=128000:thi=overlap:fde=none:si=on:spb=non_intro:lcm=predicate:uwa=func_ext:slsq=on:random_seed=568139259:thitd=on:cond=fast:i=784:nm=30:rtra=on:gtg=all:tac=axiom_2959 on theBenchmark for (2959ds/784Mi)
% 32.03/5.27  % (3344360)Instruction limit reached! 
% 32.03/5.27  % (3344360)------------------------------
% 32.03/5.27  % (3344360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344360)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344360)Termination reason: Instruction limit
% 32.03/5.27  % (3344360)Termination phase: Saturation
% 32.03/5.27  % (3344360)Time elapsed: 0.432 s
% 32.03/5.27  % (3344360)Peak memory usage: 91 MB
% 32.03/5.27  % (3344360)Instructions burned: 836 (million)
% 32.03/5.27  % (3344366)Instruction limit reached! 
% 32.03/5.27  % (3344366)------------------------------
% 32.03/5.27  % (3344366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344366)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344366)Termination reason: Instruction limit
% 32.03/5.27  % (3344366)Termination phase: Saturation
% 32.03/5.27  % (3344366)Time elapsed: 0.253 s
% 32.03/5.27  % (3344366)Peak memory usage: 120 MB
% 32.03/5.27  % (3344366)Instructions burned: 778 (million)
% 32.03/5.27  % (3344372)ott+1011_8:1_to=kbo:sil=128000:thi=overlap:si=on:sp=arity:lcm=reverse:uwa=func_ext:nwc=1:sac=on:random_seed=1140573391:thitd=on:s2a=on:i=1131:add=on:canc=force:bd=all:rtra=on:tac=axiom:ev=off_2958 on theBenchmark for (2958ds/1131Mi)
% 32.03/5.27  % (3344370)First to succeed.
% 32.03/5.27  % (3344370)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3343875"
% 32.03/5.27  % (3344355)Instruction limit reached! 
% 32.03/5.27  % (3344355)------------------------------
% 32.03/5.27  % (3344355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344355)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344355)Termination reason: Instruction limit
% 32.03/5.27  % (3344355)Termination phase: Saturation
% 32.03/5.27  % (3344355)Time elapsed: 0.651 s
% 32.03/5.27  % (3344355)Peak memory usage: 130 MB
% 32.03/5.27  % (3344355)Instructions burned: 1092 (million)
% 32.03/5.27  % (3344375)lrs+1002_1_to=kbo:sil=64000:tgt=ground:si=on:random_seed=2489741434:s2a=on:i=775:s2at=3:kws=precedence:doe=on:fsr=off:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/775Mi)
% 32.03/5.27  % (3344374)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1011911266:s2pl=no:i=246:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2957 on theBenchmark for (2957ds/246Mi)
% 32.03/5.27  % (3344377)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=2645149169:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_2956 on theBenchmark for (2956ds/273Mi)
% 32.03/5.27  % (3344374)Refutation not found, incomplete strategy
% 32.03/5.27  % (3344374)------------------------------
% 32.03/5.27  % (3344374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.03/5.27  % (3344374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.03/5.27  % (3344374)CaDiCaL version: 2.1.3
% 32.03/5.27  % (3344374)Termination reason: Refutation not found, incomplete strategy
% 32.03/5.27  % (3344374)Time elapsed: 0.058 s
% 32.03/5.27  % (3344374)Peak memory usage: 115 MB
% 32.03/5.27  % (3344374)Instructions burned: 13 (million)
% 32.03/5.27  % (3344370)Refutation found. Thanks to Tanya!
% 32.03/5.27  % SZS status Theorem for theBenchmark
% 32.03/5.27  % SZS output start Proof for theBenchmark
% See solution above
% 32.87/5.47  % (3344370)------------------------------
% 32.87/5.47  % (3344370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.47  % (3344370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.47  % (3344370)CaDiCaL version: 2.1.3
% 32.87/5.47  % (3344370)Termination reason: Refutation
% 32.87/5.47  % (3344370)Time elapsed: 0.097 s
% 32.87/5.47  % (3344370)Peak memory usage: 118 MB
% 32.87/5.47  % (3344370)Instructions burned: 103 (million)
% 32.87/5.47  % (3344370)------------------------------
% 32.87/5.47  % (3344370)------------------------------
% 32.87/5.47  % (3343875)Success in time 4.602 s
% 32.87/5.47  % Vampire exiting
%------------------------------------------------------------------------------