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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TIM015_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 02:33:31 PM UTC 2026

% Result   : Theorem 12.01s 2.55s
% Output   : Refutation 12.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  173 (  45 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  206 (  80   ~;  79   |;  33   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  429 (  49 atm;  58 fun; 214 num; 108 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  :   18 (  13 usr;   1 prp; 0-9 aty)
%            Number of functors    :   26 (   9 usr;  20 con; 0-5 aty)
%            Number of variables   :  115 ( 106   !;   9   ?; 115   :)

% 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(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(f1,axiom,
    ! [X0: $int] :
      ( valid_day(X0)
    <=> ( $lesseq(X0,31)
        & $greater(X0,0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trap_ax) ).

tff(f38,axiom,
    ! [X0: $int] :
      ( ( ( ( ( $remainder_e(X0,100) != 0 )
            | ( $remainder_e(X0,400) = 0 ) )
          & ( $remainder_e(X0,4) = 0 ) )
       => is_days_in_month(2,X0,29) )
      & ( ( ( ( $remainder_e(X0,100) = 0 )
            & ( $remainder_e(X0,400) != 0 ) )
          | ( $remainder_e(X0,4) != 0 ) )
       => is_days_in_month(2,X0,28) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m2) ).

tff(f39,axiom,
    ! [X0: $int] : is_days_in_month(3,X0,31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m3) ).

tff(f49,axiom,
    ! [X1: $int,X3: $int,X0: $int,X2: $int] :
      ( ( $lesseq(X0,X3)
        & $greater(X0,0)
        & is_days_in_month(X1,X2,X3) )
     => calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_base) ).

tff(f50,axiom,
    ! [X2: $int,X4: date,X3: $int,X0: $int,X1: $int] :
      ( ( is_days_in_month(X1,X2,X3)
        & ( X1 != 12 )
        & $greater(X0,X3) )
     => ( calc_date($difference(X0,X3),$sum(X1,1),X2,X4)
       => calc_date(X0,X1,X2,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_fwd_std) ).

tff(f88,conjecture,
    ? [X2: $int,X1: $int,X0: $int] :
      ( valid_day(X2)
      & calc_date($sum(25,4),2,2025,ymd(X0,X1,X2))
      & ( X2 = 1 )
      & ( X1 = 3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_leap_no) ).

tff(f89,negated_conjecture,
    ~ ? [X2: $int,X1: $int,X0: $int] :
        ( valid_day(X2)
        & calc_date($sum(25,4),2,2025,ymd(X0,X1,X2))
        & ( X2 = 1 )
        & ( X1 = 3 ) ),
    inference(negated_conjecture,[status(cth)],[f88]) ).

tff(f104,plain,
    ! [X1: $int,X3: $int,X0: $int,X2: $int] :
      ( ( ~ $less(X3,X0)
        & $less(0,X0)
        & is_days_in_month(X1,X2,X3) )
     => calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
    inference(theory_normalization,[],[f49]) ).

tff(f105,plain,
    ! [X2: $int,X4: date,X3: $int,X0: $int,X1: $int] :
      ( ( is_days_in_month(X1,X2,X3)
        & ( X1 != 12 )
        & $less(X3,X0) )
     => ( calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4)
       => calc_date(X0,X1,X2,X4) ) ),
    inference(theory_normalization,[],[f50]) ).

tff(f115,plain,
    ! [X0: $int] :
      ( valid_day(X0)
    <=> ( ~ $less(31,X0)
        & $less(0,X0) ) ),
    inference(theory_normalization,[],[f1]) ).

tff(f125,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_plus_one_dichotomy]) ).

tff(f157,plain,
    ! [X2: $int,X1: $int,X0: $int,X3: $int] :
      ( ( ~ $less(X1,X2)
        & $less(0,X2)
        & is_days_in_month(X0,X3,X1) )
     => calc_date(X2,X0,X3,ymd(X3,X0,X2)) ),
    inference(rectify,[],[f104]) ).

tff(f158,plain,
    ! [X1: date,X0: $int,X2: $int,X4: $int,X3: $int] :
      ( ( $less(X2,X3)
        & is_days_in_month(X4,X0,X2)
        & ( 12 != X4 ) )
     => ( calc_date($sum(X3,$uminus(X2)),$sum(X4,1),X0,X1)
       => calc_date(X3,X4,X0,X1) ) ),
    inference(rectify,[],[f105]) ).

tff(f167,plain,
    ~ ? [X1: $int,X2: $int,X0: $int] :
        ( ( 1 = X0 )
        & ( X1 = 3 )
        & valid_day(X0)
        & calc_date($sum(25,4),2,2025,ymd(X2,X1,X0)) ),
    inference(rectify,[],[f89]) ).

tff(f169,plain,
    ! [X0: $int] :
      ( ( ~ $less(31,X0)
        & $less(0,X0) )
     => valid_day(X0) ),
    inference(unused_predicate_definition_removal,[],[f115]) ).

tff(f188,plain,
    ! [X0: $int] :
      ( valid_day(X0)
      | $less(31,X0)
      | ~ $less(0,X0) ),
    inference(ennf_transformation,[],[f169]) ).

tff(f189,plain,
    ! [X0: $int] :
      ( valid_day(X0)
      | ~ $less(0,X0)
      | $less(31,X0) ),
    inference(flattening,[],[f188]) ).

tff(f215,plain,
    ! [X2: $int,X1: $int,X0: $int,X3: $int] :
      ( calc_date(X2,X0,X3,ymd(X3,X0,X2))
      | $less(X1,X2)
      | ~ $less(0,X2)
      | ~ is_days_in_month(X0,X3,X1) ),
    inference(ennf_transformation,[],[f157]) ).

tff(f216,plain,
    ! [X1: $int,X0: $int,X3: $int,X2: $int] :
      ( ~ $less(0,X2)
      | $less(X1,X2)
      | ~ is_days_in_month(X0,X3,X1)
      | calc_date(X2,X0,X3,ymd(X3,X0,X2)) ),
    inference(flattening,[],[f215]) ).

tff(f217,plain,
    ! [X1: $int,X0: $int,X2: $int] :
      ( ( 3 != X1 )
      | ~ calc_date($sum(25,4),2,2025,ymd(X2,X1,X0))
      | ~ valid_day(X0)
      | ( 1 != X0 ) ),
    inference(ennf_transformation,[],[f167]) ).

tff(f231,plain,
    ! [X0: $int] :
      ( ( is_days_in_month(2,X0,29)
        | ( ( 0 = $remainder_e(X0,100) )
          & ( 0 != $remainder_e(X0,400) ) )
        | ( 0 != $remainder_e(X0,4) ) )
      & ( ( ( 0 = $remainder_e(X0,4) )
          & ( ( 0 != $remainder_e(X0,100) )
            | ( 0 = $remainder_e(X0,400) ) ) )
        | is_days_in_month(2,X0,28) ) ),
    inference(ennf_transformation,[],[f38]) ).

tff(f232,plain,
    ! [X0: $int] :
      ( ( ( 0 != $remainder_e(X0,4) )
        | ( ( 0 = $remainder_e(X0,100) )
          & ( 0 != $remainder_e(X0,400) ) )
        | is_days_in_month(2,X0,29) )
      & ( ( ( 0 = $remainder_e(X0,4) )
          & ( ( 0 != $remainder_e(X0,100) )
            | ( 0 = $remainder_e(X0,400) ) ) )
        | is_days_in_month(2,X0,28) ) ),
    inference(flattening,[],[f231]) ).

tff(f233,plain,
    ! [X1: date,X0: $int,X2: $int,X4: $int,X3: $int] :
      ( calc_date(X3,X4,X0,X1)
      | ~ calc_date($sum(X3,$uminus(X2)),$sum(X4,1),X0,X1)
      | ~ $less(X2,X3)
      | ~ is_days_in_month(X4,X0,X2)
      | ( 12 = X4 ) ),
    inference(ennf_transformation,[],[f158]) ).

tff(f234,plain,
    ! [X0: $int,X3: $int,X2: $int,X1: date,X4: $int] :
      ( ~ $less(X2,X3)
      | ~ calc_date($sum(X3,$uminus(X2)),$sum(X4,1),X0,X1)
      | ( 12 = X4 )
      | calc_date(X3,X4,X0,X1)
      | ~ is_days_in_month(X4,X0,X2) ),
    inference(flattening,[],[f233]) ).

tff(f250,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: date,X4: $int] :
      ( ~ $less(X2,X1)
      | ~ calc_date($sum(X1,$uminus(X2)),$sum(X4,1),X0,X3)
      | ( 12 = X4 )
      | calc_date(X1,X4,X0,X3)
      | ~ is_days_in_month(X4,X0,X2) ),
    inference(rectify,[],[f234]) ).

tff(f253,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int] :
      ( ~ $less(0,X3)
      | $less(X0,X3)
      | ~ is_days_in_month(X1,X2,X0)
      | calc_date(X3,X1,X2,ymd(X2,X1,X3)) ),
    inference(rectify,[],[f216]) ).

tff(f260,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( 3 != X0 )
      | ~ calc_date($sum(25,4),2,2025,ymd(X2,X0,X1))
      | ~ valid_day(X1)
      | ( 1 != X1 ) ),
    inference(rectify,[],[f217]) ).

tff(f292,plain,
    ! [X0: $int] :
      ( valid_day(X0)
      | $less(31,X0)
      | ~ $less(0,X0) ),
    inference(cnf_transformation,[],[f189]) ).

tff(f306,plain,
    ! [X0: $int] :
      ( is_days_in_month(2,X0,28)
      | ( 0 = $remainder_e(X0,4) ) ),
    inference(cnf_transformation,[],[f232]) ).

tff(f320,plain,
    ! [X0: $int] : is_days_in_month(3,X0,31),
    inference(cnf_transformation,[],[f39]) ).

tff(f321,plain,
    ! [X2: $int,X3: date,X0: $int,X1: $int,X4: $int] :
      ( calc_date(X1,X4,X0,X3)
      | ~ $less(X2,X1)
      | ~ calc_date($sum(X1,$uminus(X2)),$sum(X4,1),X0,X3)
      | ~ is_days_in_month(X4,X0,X2)
      | ( 12 = X4 ) ),
    inference(cnf_transformation,[],[f250]) ).

tff(f332,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( calc_date(X3,X1,X2,ymd(X2,X1,X3))
      | $less(X0,X3)
      | ~ is_days_in_month(X1,X2,X0)
      | ~ $less(0,X3) ),
    inference(cnf_transformation,[],[f253]) ).

tff(f353,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( 1 != X1 )
      | ~ calc_date($sum(25,4),2,2025,ymd(X2,X0,X1))
      | ( 3 != X0 )
      | ~ valid_day(X1) ),
    inference(cnf_transformation,[],[f260]) ).

tff(f363,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ valid_day(X1)
      | ( 1 != X1 )
      | ( 3 != X0 )
      | ~ calc_date(29,2,2025,ymd(X2,X0,X1)) ),
    inference(evaluation,[],[f353]) ).

tff(f601,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( 3 != X1 )
      | ~ $less(0,X0)
      | ~ calc_date(29,2,2025,ymd(X2,X1,X0))
      | $less(31,X0)
      | ( 1 != X0 ) ),
    inference(resolution,[],[f292,f363]) ).

tff(f623,plain,
    ! [X0: $int,X1: $int] :
      ( ( 1 != X0 )
      | $less(31,X0)
      | ~ calc_date(29,2,2025,ymd(X1,3,X0))
      | ~ $less(0,X0) ),
    inference(equality_resolution,[],[f601]) ).

tff(f681,plain,
    ! [X0: $int] :
      ( ~ $less(0,1)
      | $less(31,1)
      | ~ calc_date(29,2,2025,ymd(X0,3,1)) ),
    inference(equality_resolution,[],[f623]) ).

tff(f682,plain,
    ! [X0: $int] : ~ calc_date(29,2,2025,ymd(X0,3,1)),
    inference(evaluation,[],[f681]) ).

tff(f700,plain,
    ! [X0: $int,X1: $int] :
      ( ( 2 = 12 )
      | ~ calc_date($sum(29,$uminus(X0)),$sum(2,1),2025,ymd(X1,3,1))
      | ~ is_days_in_month(2,2025,X0)
      | ~ $less(X0,29) ),
    inference(resolution,[],[f682,f321]) ).

tff(f711,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,29)
      | ~ calc_date($sum(29,$uminus(X0)),3,2025,ymd(X1,3,1))
      | ~ is_days_in_month(2,2025,X0) ),
    inference(evaluation,[],[f700]) ).

tff(f750,plain,
    ! [X0: $int,X1: $int] :
      ( ~ is_days_in_month(2,2025,X0)
      | $less(29,$sum(X0,1))
      | ~ calc_date($sum(29,$uminus(X0)),3,2025,ymd(X1,3,1)) ),
    inference(resolution,[],[f711,f125]) ).

tff(f845,plain,
    ! [X0: $int] :
      ( ~ calc_date($sum(29,$uminus(28)),3,2025,ymd(X0,3,1))
      | ( 0 = $remainder_e(2025,4) )
      | $less(29,$sum(28,1)) ),
    inference(resolution,[],[f750,f306]) ).

tff(f847,plain,
    ! [X0: $int] : ~ calc_date(1,3,2025,ymd(X0,3,1)),
    inference(evaluation,[],[f845]) ).

tff(f1070,plain,
    ! [X0: $int] :
      ( ~ is_days_in_month(3,2025,X0)
      | $less(X0,1)
      | ~ $less(0,1) ),
    inference(resolution,[],[f847,f332]) ).

tff(f1089,plain,
    ! [X0: $int] :
      ( ~ is_days_in_month(3,2025,X0)
      | $less(X0,1) ),
    inference(evaluation,[],[f1070]) ).

tff(f1209,plain,
    $less(31,1),
    inference(unit_resulting_resolution,[],[f1089,f320]) ).

tff(f1212,plain,
    $false,
    inference(evaluation,[],[f1209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : TIM015_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27  % Computer : n003.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 18:49:12 UTC 2026
% 0.11/0.28  % CPUTime  : 
% 0.11/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.33  Running first-order theorem proving
% 0.28/0.33  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.30/1.64  % (1866707)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.30/1.64  % (1866718)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=333693098:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.30/1.64  % (1866718)Instruction limit reached! 
% 5.30/1.64  % (1866718)------------------------------
% 5.30/1.64  % (1866718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.64  % (1866718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.64  % (1866718)CaDiCaL version: 2.1.3
% 5.30/1.64  % (1866718)Termination reason: Instruction limit
% 5.30/1.64  % (1866718)Termination phase: Saturation
% 5.30/1.64  % (1866718)Time elapsed: 0.037 s
% 5.30/1.64  % (1866718)Peak memory usage: 116 MB
% 5.30/1.64  % (1866718)Instructions burned: 33 (million)
% 5.30/1.64  % (1866716)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2875560915:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.30/1.64  % (1866712)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1659137387:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.30/1.64  % (1866717)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1831493671:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.30/1.64  % (1866713)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1706373776:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.30/1.64  % (1866714)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3681409836:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.30/1.64  % (1866715)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4181292793:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.30/1.64  % (1866716)Instruction limit reached! 
% 5.30/1.64  % (1866716)------------------------------
% 5.30/1.64  % (1866716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.64  % (1866716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.64  % (1866716)CaDiCaL version: 2.1.3
% 5.30/1.64  % (1866716)Termination reason: Instruction limit
% 5.30/1.64  % (1866716)Termination phase: Preprocessing 3
% 5.30/1.64  % (1866716)Time elapsed: 0.004 s
% 5.30/1.64  % (1866716)Peak memory usage: 85 MB
% 5.30/1.64  % (1866716)Instructions burned: 4 (million)
% 5.30/1.64  % (1866715)Instruction limit reached! 
% 5.30/1.64  % (1866715)------------------------------
% 5.30/1.64  % (1866715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.64  % (1866715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.64  % (1866715)CaDiCaL version: 2.1.3
% 5.30/1.64  % (1866715)Termination reason: Instruction limit
% 5.30/1.64  % (1866715)Termination phase: Saturation
% 5.30/1.64  % (1866715)Time elapsed: 0.008 s
% 5.30/1.64  % (1866715)Peak memory usage: 86 MB
% 5.30/1.64  % (1866715)Instructions burned: 7 (million)
% 5.30/1.64  % (1866712)Instruction limit reached! 
% 5.30/1.64  % (1866712)------------------------------
% 5.30/1.64  % (1866712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.64  % (1866712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.64  % (1866712)CaDiCaL version: 2.1.3
% 5.30/1.64  % (1866712)Termination reason: Instruction limit
% 5.30/1.64  % (1866712)Termination phase: Saturation
% 5.30/1.64  % (1866712)Time elapsed: 0.042 s
% 5.30/1.64  % (1866712)Peak memory usage: 115 MB
% 5.30/1.64  % (1866712)Instructions burned: 12 (million)
% 5.30/1.64  % (1866717)Instruction limit reached! 
% 5.30/1.64  % (1866717)------------------------------
% 5.30/1.64  % (1866717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.64  % (1866717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.64  % (1866717)CaDiCaL version: 2.1.3
% 5.30/1.64  % (1866717)Termination reason: Instruction limit
% 5.30/1.64  % (1866717)Termination phase: Saturation
% 5.30/1.64  % (1866717)Time elapsed: 0.075 s
% 5.30/1.64  % (1866717)Peak memory usage: 115 MB
% 5.30/1.64  % (1866717)Instructions burned: 47 (million)
% 5.30/1.64  % (1866720)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3282116462:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.30/1.64  % (1866720)Instruction limit reached! 
% 5.30/1.64  % (1866720)------------------------------
% 7.48/1.87  % (1866720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866720)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866720)Termination reason: Instruction limit
% 7.48/1.87  % (1866720)Termination phase: Saturation
% 7.48/1.87  % (1866720)Time elapsed: 0.016 s
% 7.48/1.87  % (1866720)Peak memory usage: 88 MB
% 7.48/1.87  % (1866720)Instructions burned: 14 (million)
% 7.48/1.87  % (1866730)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3732396674:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.48/1.87  % (1866730)Instruction limit reached! 
% 7.48/1.87  % (1866730)------------------------------
% 7.48/1.87  % (1866730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866730)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866730)Termination reason: Instruction limit
% 7.48/1.87  % (1866730)Termination phase: Saturation
% 7.48/1.87  % (1866730)Time elapsed: 0.008 s
% 7.48/1.87  % (1866730)Peak memory usage: 89 MB
% 7.48/1.87  % (1866730)Instructions burned: 16 (million)
% 7.48/1.87  % (1866731)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2203303652:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.48/1.87  % (1866729)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=2853448918:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.48/1.87  % (1866731)Instruction limit reached! 
% 7.48/1.87  % (1866731)------------------------------
% 7.48/1.87  % (1866731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866731)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866731)Termination reason: Instruction limit
% 7.48/1.87  % (1866731)Termination phase: Saturation
% 7.48/1.87  % (1866731)Time elapsed: 0.029 s
% 7.48/1.87  % (1866731)Peak memory usage: 89 MB
% 7.48/1.87  % (1866731)Instructions burned: 24 (million)
% 7.48/1.87  % (1866714)Instruction limit reached! 
% 7.48/1.87  % (1866714)------------------------------
% 7.48/1.87  % (1866714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866714)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866714)Termination reason: Instruction limit
% 7.48/1.87  % (1866714)Termination phase: Saturation
% 7.48/1.87  % (1866714)Time elapsed: 0.267 s
% 7.48/1.87  % (1866714)Peak memory usage: 117 MB
% 7.48/1.87  % (1866714)Instructions burned: 201 (million)
% 7.48/1.87  % (1866729)Instruction limit reached! 
% 7.48/1.87  % (1866729)------------------------------
% 7.48/1.87  % (1866729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866729)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866729)Termination reason: Instruction limit
% 7.48/1.87  % (1866729)Termination phase: Saturation
% 7.48/1.87  % (1866729)Time elapsed: 0.033 s
% 7.48/1.87  % (1866729)Peak memory usage: 89 MB
% 7.48/1.87  % (1866729)Instructions burned: 30 (million)
% 7.48/1.87  % (1866713)Instruction limit reached! 
% 7.48/1.87  % (1866713)------------------------------
% 7.48/1.87  % (1866713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.87  % (1866713)CaDiCaL version: 2.1.3
% 7.48/1.87  % (1866713)Termination reason: Instruction limit
% 7.48/1.87  % (1866713)Termination phase: Saturation
% 7.48/1.87  % (1866713)Time elapsed: 0.325 s
% 7.48/1.87  % (1866713)Peak memory usage: 118 MB
% 7.48/1.87  % (1866713)Instructions burned: 308 (million)
% 7.48/1.87  % (1866732)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=3316337191:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.48/1.87  % (1866732)Refutation not found, incomplete strategy
% 7.48/1.87  % (1866732)------------------------------
% 7.48/1.87  % (1866732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.87  % (1866732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866732)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866732)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.19  % (1866732)Time elapsed: 0.013 s
% 10.52/2.19  % (1866732)Peak memory usage: 89 MB
% 10.52/2.19  % (1866732)Instructions burned: 11 (million)
% 10.52/2.19  % (1866736)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4070730308:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 10.52/2.19  % (1866736)Instruction limit reached! 
% 10.52/2.19  % (1866736)------------------------------
% 10.52/2.19  % (1866736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.19  % (1866736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866736)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866736)Termination reason: Instruction limit
% 10.52/2.19  % (1866736)Termination phase: shuffling
% 10.52/2.19  % (1866736)Time elapsed: 0.002 s
% 10.52/2.19  % (1866736)Peak memory usage: 86 MB
% 10.52/2.19  % (1866736)Instructions burned: 3 (million)
% 10.52/2.19  % (1866739)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=879035456:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 10.52/2.19  % (1866735)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2644994815:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 10.52/2.19  % (1866741)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1204490190:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 10.52/2.19  % (1866740)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2115032656:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 10.52/2.19  % (1866739)Instruction limit reached! 
% 10.52/2.19  % (1866739)------------------------------
% 10.52/2.19  % (1866739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.19  % (1866739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866739)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866739)Termination reason: Instruction limit
% 10.52/2.19  % (1866739)Termination phase: Saturation
% 10.52/2.19  % (1866739)Time elapsed: 0.087 s
% 10.52/2.19  % (1866739)Peak memory usage: 91 MB
% 10.52/2.19  % (1866739)Instructions burned: 182 (million)
% 10.52/2.19  % (1866740)Instruction limit reached! 
% 10.52/2.19  % (1866740)------------------------------
% 10.52/2.19  % (1866740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.19  % (1866740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866740)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866740)Termination reason: Instruction limit
% 10.52/2.19  % (1866740)Termination phase: Preprocessing 3
% 10.52/2.19  % (1866740)Time elapsed: 0.004 s
% 10.52/2.19  % (1866740)Peak memory usage: 85 MB
% 10.52/2.19  % (1866740)Instructions burned: 4 (million)
% 10.52/2.19  % (1866735)Instruction limit reached! 
% 10.52/2.19  % (1866735)------------------------------
% 10.52/2.19  % (1866735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.19  % (1866735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866735)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866735)Termination reason: Instruction limit
% 10.52/2.19  % (1866735)Termination phase: Saturation
% 10.52/2.19  % (1866735)Time elapsed: 0.091 s
% 10.52/2.19  % (1866735)Peak memory usage: 90 MB
% 10.52/2.19  % (1866735)Instructions burned: 86 (million)
% 10.52/2.19  % (1866743)lrs+10_1_thi=all:si=on:fd=off:random_seed=174604966:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 10.52/2.19  % (1866749)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=797934357:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 10.52/2.19  % (1866749)Instruction limit reached! 
% 10.52/2.19  % (1866749)------------------------------
% 10.52/2.19  % (1866749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.19  % (1866749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.19  % (1866749)CaDiCaL version: 2.1.3
% 10.52/2.19  % (1866749)Termination reason: Instruction limit
% 10.52/2.19  % (1866749)Termination phase: Property scanning
% 10.52/2.19  % (1866749)Time elapsed: 0.009 s
% 10.52/2.19  % (1866749)Peak memory usage: 87 MB
% 10.52/2.19  % (1866749)Instructions burned: 8 (million)
% 10.52/2.19  % (1866741)Instruction limit reached! 
% 10.40/2.32  % (1866741)------------------------------
% 10.40/2.32  % (1866741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866741)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866741)Termination reason: Instruction limit
% 10.40/2.32  % (1866741)Termination phase: Saturation
% 10.40/2.32  % (1866741)Time elapsed: 0.126 s
% 10.40/2.32  % (1866741)Peak memory usage: 134 MB
% 10.40/2.32  % (1866741)Instructions burned: 66 (million)
% 10.40/2.32  % (1866743)Instruction limit reached! 
% 10.40/2.32  % (1866743)------------------------------
% 10.40/2.32  % (1866743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866743)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866743)Termination reason: Instruction limit
% 10.40/2.32  % (1866743)Termination phase: Saturation
% 10.40/2.32  % (1866743)Time elapsed: 0.088 s
% 10.40/2.32  % (1866743)Peak memory usage: 116 MB
% 10.40/2.32  % (1866743)Instructions burned: 53 (million)
% 10.40/2.32  % (1866754)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=849510170:st=3:i=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/2Mi)
% 10.40/2.32  % (1866754)Instruction limit reached! 
% 10.40/2.32  % (1866754)------------------------------
% 10.40/2.32  % (1866754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866754)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866754)Termination reason: Instruction limit
% 10.40/2.32  % (1866754)Termination phase: Preprocessing 3
% 10.40/2.32  % (1866754)Time elapsed: 0.002 s
% 10.40/2.32  % (1866754)Peak memory usage: 85 MB
% 10.40/2.32  % (1866754)Instructions burned: 3 (million)
% 10.40/2.32  % (1866732)------------------------------
% 10.40/2.32  % (1866732)------------------------------
% 10.40/2.32  % (1866756)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3591181857:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.40/2.32  % (1866755)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4281619288:i=2:doe=on:canc=force:asg=cautious:rtra=on_2991 on theBenchmark for (2991ds/2Mi)
% 10.40/2.32  % (1866755)Instruction limit reached! 
% 10.40/2.32  % (1866755)------------------------------
% 10.40/2.32  % (1866755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866755)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866755)Termination reason: Instruction limit
% 10.40/2.32  % (1866755)Termination phase: Preprocessing 1
% 10.40/2.32  % (1866755)Time elapsed: 0.003 s
% 10.40/2.32  % (1866755)Peak memory usage: 85 MB
% 10.40/2.32  % (1866755)Instructions burned: 3 (million)
% 10.40/2.32  % (1866761)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2968951417: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_2990 on theBenchmark for (2990ds/35Mi)
% 10.40/2.32  % (1866759)dis+10_1_si=on:random_seed=1254951940:i=10:ep=R:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 10.40/2.32  % (1866760)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4197751528:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 10.40/2.32  % (1866759)Instruction limit reached! 
% 10.40/2.32  % (1866759)------------------------------
% 10.40/2.32  % (1866759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866759)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866759)Termination reason: Instruction limit
% 10.40/2.32  % (1866759)Termination phase: Saturation
% 10.40/2.32  % (1866759)Time elapsed: 0.010 s
% 10.40/2.32  % (1866759)Peak memory usage: 88 MB
% 10.40/2.32  % (1866759)Instructions burned: 10 (million)
% 10.40/2.32  % (1866760)Refutation not found, incomplete strategy
% 10.40/2.32  % (1866760)------------------------------
% 10.40/2.32  % (1866760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866760)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866760)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.32  % (1866760)Time elapsed: 0.012 s
% 10.40/2.32  % (1866760)Peak memory usage: 88 MB
% 10.40/2.32  % (1866760)Instructions burned: 11 (million)
% 10.40/2.32  % (1866761)Instruction limit reached! 
% 10.40/2.32  % (1866761)------------------------------
% 10.40/2.32  % (1866761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866761)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866761)Termination reason: Instruction limit
% 10.40/2.32  % (1866761)Termination phase: Saturation
% 10.40/2.32  % (1866761)Time elapsed: 0.030 s
% 10.40/2.32  % (1866761)Peak memory usage: 89 MB
% 10.40/2.32  % (1866761)Instructions burned: 35 (million)
% 10.40/2.32  % (1866756)First to succeed.
% 10.40/2.32  % (1866756)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1866707"
% 10.40/2.32  % (1866764)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=4134885361:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 10.40/2.32  % (1866764)Instruction limit reached! 
% 10.40/2.32  % (1866764)------------------------------
% 10.40/2.32  % (1866764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866764)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866764)Termination reason: Instruction limit
% 10.40/2.32  % (1866764)Termination phase: Saturation
% 10.40/2.32  % (1866764)Time elapsed: 0.004 s
% 10.40/2.32  % (1866764)Peak memory usage: 87 MB
% 10.40/2.32  % (1866764)Instructions burned: 8 (million)
% 10.40/2.32  % (1866763)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=26909828:i=2:fsr=off:rtra=on:inst=on_2989 on theBenchmark for (2989ds/2Mi)
% 10.40/2.32  % (1866763)Instruction limit reached! 
% 10.40/2.32  % (1866763)------------------------------
% 10.40/2.32  % (1866763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866763)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866763)Termination reason: Instruction limit
% 10.40/2.32  % (1866763)Termination phase: Preprocessing 1
% 10.40/2.32  % (1866763)Time elapsed: 0.003 s
% 10.40/2.32  % (1866763)Peak memory usage: 86 MB
% 10.40/2.32  % (1866763)Instructions burned: 3 (million)
% 10.40/2.32  % (1866767)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=808084189:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 10.40/2.32  % (1866767)Refutation not found, incomplete strategy
% 10.40/2.32  % (1866767)------------------------------
% 10.40/2.32  % (1866767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866767)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866767)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.32  % (1866767)Time elapsed: 0.011 s
% 10.40/2.32  % (1866767)Peak memory usage: 88 MB
% 10.40/2.32  % (1866767)Instructions burned: 10 (million)
% 10.40/2.32  % (1866771)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1250431578:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 10.40/2.32  % (1866771)Instruction limit reached! 
% 10.40/2.32  % (1866771)------------------------------
% 10.40/2.32  % (1866771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866771)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866771)Termination reason: Instruction limit
% 10.40/2.32  % (1866771)Termination phase: Saturation
% 10.40/2.32  % (1866771)Time elapsed: 0.024 s
% 10.40/2.32  % (1866771)Peak memory usage: 111 MB
% 10.40/2.32  % (1866771)Instructions burned: 14 (million)
% 10.40/2.32  % (1866772)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1509838886:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 10.40/2.32  % (1866772)Refutation not found, incomplete strategy
% 10.40/2.32  % (1866772)------------------------------
% 10.40/2.32  % (1866772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.32  % (1866772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.32  % (1866772)CaDiCaL version: 2.1.3
% 10.40/2.32  % (1866772)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.32  % (1866772)Time elapsed: 0.043 s
% 12.01/2.55  % (1866772)Peak memory usage: 115 MB
% 12.01/2.55  % (1866772)Instructions burned: 9 (million)
% 12.01/2.55  % (1866774)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1413125818:i=10:rtra=on_2987 on theBenchmark for (2987ds/10Mi)
% 12.01/2.55  % (1866774)Instruction limit reached! 
% 12.01/2.55  % (1866774)------------------------------
% 12.01/2.55  % (1866774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.55  % (1866774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.55  % (1866774)CaDiCaL version: 2.1.3
% 12.01/2.55  % (1866774)Termination reason: Instruction limit
% 12.01/2.55  % (1866774)Termination phase: Saturation
% 12.01/2.55  % (1866774)Time elapsed: 0.012 s
% 12.01/2.55  % (1866774)Peak memory usage: 88 MB
% 12.01/2.55  % (1866774)Instructions burned: 10 (million)
% 12.01/2.55  % (1866760)------------------------------
% 12.01/2.55  % (1866760)------------------------------
% 12.01/2.55  % (1866776)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3786442665:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 12.01/2.55  % (1866756)Refutation found. Thanks to Tanya!
% 12.01/2.55  % SZS status Theorem for theBenchmark
% 12.01/2.55  % SZS output start Proof for theBenchmark
% See solution above
% 12.01/2.55  % (1866756)------------------------------
% 12.01/2.55  % (1866756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.55  % (1866756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.55  % (1866756)CaDiCaL version: 2.1.3
% 12.01/2.55  % (1866756)Termination reason: Refutation
% 12.01/2.55  % (1866756)Time elapsed: 0.141 s
% 12.01/2.55  % (1866756)Peak memory usage: 116 MB
% 12.01/2.55  % (1866756)Instructions burned: 102 (million)
% 12.01/2.55  % (1866756)------------------------------
% 12.01/2.55  % (1866756)------------------------------
% 12.01/2.55  % (1866707)Success in time 1.609 s
% 12.01/2.55  % Vampire exiting
%------------------------------------------------------------------------------