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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ANA002-1 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:30:48 AM UTC 2026

% Result   : Unsatisfiable 4.49s 1.33s
% Output   : Refutation 5.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   88 (  15 unt;   6 def)
%            Number of atoms       :  232 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  247 ( 103   ~; 138   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   46 (   0 sgn  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( in_interval(X0,X1,X2)
      | ~ less_than_or_equal(X0,X1)
      | ~ less_than_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_interval) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(X0,X1)
      | less_than_or_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_less) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ less_than_or_equal(X2,X1)
      | ~ less_than_or_equal(X0,X2)
      | less_than_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ less_than_or_equal(X0,q(X1,X0))
      | less_than_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interpolation1) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_than_or_equal(q(X0,X1),X0)
      | less_than_or_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interpolation2) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ less_than_or_equal(X0,h(X0))
      | less_than_or_equal(f(X0),n0)
      | ~ in_interval(lower_bound,X0,upper_bound) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ less_than_or_equal(f(X1),n0)
      | ~ less_than_or_equal(X1,X0)
      | less_than_or_equal(f(X0),n0)
      | less_than_or_equal(X1,h(X0))
      | ~ in_interval(lower_bound,X0,upper_bound) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ less_than_or_equal(k(X0),X0)
      | less_than_or_equal(n0,f(X0))
      | ~ in_interval(lower_bound,X0,upper_bound) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity3) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ less_than_or_equal(n0,f(X1))
      | ~ less_than_or_equal(X0,X1)
      | less_than_or_equal(n0,f(X0))
      | less_than_or_equal(k(X0),X1)
      | ~ in_interval(lower_bound,X0,upper_bound) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity4) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ less_than_or_equal(f(X0),n0)
      | ~ less_than_or_equal(X0,upper_bound)
      | less_than_or_equal(X0,l) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover1) ).

fof(f12,axiom,
    ! [X0] :
      ( less_than_or_equal(g(X0),upper_bound)
      | less_than_or_equal(l,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover2_and_g_function1) ).

fof(f13,axiom,
    ! [X0] :
      ( less_than_or_equal(f(g(X0)),n0)
      | less_than_or_equal(l,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover3_and_g_function2) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ less_than_or_equal(g(X0),X0)
      | less_than_or_equal(l,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover4_and_g_function3) ).

fof(f15,axiom,
    less_than_or_equal(lower_bound,upper_bound),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_interval) ).

fof(f16,axiom,
    less_than_or_equal(f(lower_bound),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_mapping) ).

fof(f17,axiom,
    less_than_or_equal(n0,f(upper_bound)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_mapping) ).

fof(f18,negated_conjecture,
    ! [X0] : ~ in_interval(f(X0),n0,f(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_x_which_crosses) ).

fof(f19,plain,
    ! [X0] :
      ( ~ less_than_or_equal(n0,f(X0))
      | ~ less_than_or_equal(f(X0),n0) ),
    inference(resolution,[],[f1,f18]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( less_than_or_equal(g(X0),h(X1))
      | less_than_or_equal(f(X1),n0)
      | ~ less_than_or_equal(g(X0),X1)
      | ~ in_interval(lower_bound,X1,upper_bound)
      | less_than_or_equal(l,X0) ),
    inference(resolution,[],[f8,f13]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ less_than_or_equal(X0,X1)
      | less_than_or_equal(X0,X2)
      | less_than_or_equal(X2,X1) ),
    inference(resolution,[],[f4,f3]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ less_than_or_equal(g(X0),upper_bound)
      | less_than_or_equal(g(X0),l)
      | less_than_or_equal(l,X0) ),
    inference(resolution,[],[f11,f13]) ).

fof(f37,plain,
    ! [X0] :
      ( less_than_or_equal(n0,f(X0))
      | less_than_or_equal(X0,l)
      | ~ less_than_or_equal(X0,upper_bound) ),
    inference(resolution,[],[f11,f3]) ).

fof(f38,plain,
    ! [X0] :
      ( less_than_or_equal(g(X0),l)
      | less_than_or_equal(l,X0) ),
    inference(forward_subsumption_resolution,[],[f35,f12]) ).

fof(f42,plain,
    ( ~ less_than_or_equal(lower_bound,upper_bound)
    | less_than_or_equal(lower_bound,l) ),
    inference(resolution,[],[f16,f11]) ).

fof(f45,plain,
    less_than_or_equal(lower_bound,l),
    inference(forward_subsumption_resolution,[],[f42,f15]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ in_interval(lower_bound,X0,upper_bound)
      | less_than_or_equal(n0,f(X0))
      | less_than_or_equal(k(X0),upper_bound)
      | ~ less_than_or_equal(X0,upper_bound) ),
    inference(resolution,[],[f17,f10]) ).

fof(f57,plain,
    ( less_than_or_equal(l,upper_bound)
    | less_than_or_equal(l,upper_bound) ),
    inference(resolution,[],[f12,f14]) ).

fof(f59,plain,
    less_than_or_equal(l,upper_bound),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ in_interval(lower_bound,X1,upper_bound)
      | ~ less_than_or_equal(X0,upper_bound)
      | ~ less_than_or_equal(X1,X0)
      | less_than_or_equal(n0,f(X1))
      | less_than_or_equal(k(X1),X0)
      | less_than_or_equal(X0,l) ),
    inference(resolution,[],[f37,f10]) ).

fof(f85,plain,
    ! [X0] :
      ( less_than_or_equal(f(X0),n0)
      | ~ less_than_or_equal(g(h(X0)),X0)
      | ~ in_interval(lower_bound,X0,upper_bound)
      | less_than_or_equal(l,h(X0))
      | less_than_or_equal(l,h(X0)) ),
    inference(resolution,[],[f25,f14]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ less_than_or_equal(g(h(X0)),X0)
      | less_than_or_equal(f(X0),n0)
      | ~ in_interval(lower_bound,X0,upper_bound)
      | less_than_or_equal(l,h(X0)) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f97,plain,
    ( less_than_or_equal(f(l),n0)
    | ~ in_interval(lower_bound,l,upper_bound)
    | less_than_or_equal(l,h(l))
    | less_than_or_equal(l,h(l)) ),
    inference(resolution,[],[f89,f38]) ).

fof(f104,plain,
    ( less_than_or_equal(f(l),n0)
    | ~ in_interval(lower_bound,l,upper_bound)
    | less_than_or_equal(l,h(l)) ),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f106,plain,
    ( less_than_or_equal(f(l),n0)
    | ~ in_interval(lower_bound,l,upper_bound) ),
    inference(forward_subsumption_resolution,[],[f104,f7]) ).

fof(f117,definition,
    ( spl0_3
  <=> in_interval(lower_bound,l,upper_bound) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f118,plain,
    ( in_interval(lower_bound,l,upper_bound)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f119,plain,
    ( ~ in_interval(lower_bound,l,upper_bound)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f121,definition,
    ( spl0_4
  <=> less_than_or_equal(f(l),n0) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f123,plain,
    ( less_than_or_equal(f(l),n0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f124,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f106,f121,f117]) ).

fof(f244,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(l,upper_bound)
    | spl0_3 ),
    inference(resolution,[],[f119,f1]) ).

fof(f245,plain,
    ( ~ less_than_or_equal(l,upper_bound)
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f244,f45]) ).

fof(f246,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f245,f59]) ).

fof(f247,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f249,plain,
    ( ! [X0] :
        ( ~ less_than_or_equal(X0,upper_bound)
        | ~ less_than_or_equal(l,X0)
        | less_than_or_equal(n0,f(l))
        | less_than_or_equal(k(l),X0)
        | less_than_or_equal(X0,l) )
    | ~ spl0_3 ),
    inference(resolution,[],[f118,f67]) ).

fof(f252,plain,
    ( less_than_or_equal(n0,f(l))
    | less_than_or_equal(k(l),upper_bound)
    | ~ less_than_or_equal(l,upper_bound)
    | ~ spl0_3 ),
    inference(resolution,[],[f118,f50]) ).

fof(f253,plain,
    ( less_than_or_equal(n0,f(l))
    | less_than_or_equal(k(l),upper_bound)
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f252,f59]) ).

fof(f259,definition,
    ( spl0_13
  <=> less_than_or_equal(n0,f(l)) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f260,plain,
    ( ~ less_than_or_equal(n0,f(l))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f261,plain,
    ( less_than_or_equal(n0,f(l))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f263,plain,
    ( ! [X0] :
        ( ~ less_than_or_equal(X0,upper_bound)
        | less_than_or_equal(n0,f(l))
        | less_than_or_equal(k(l),X0)
        | less_than_or_equal(X0,l) )
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f249,f3]) ).

fof(f265,definition,
    ( spl0_14
  <=> less_than_or_equal(k(l),upper_bound) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f267,plain,
    ( less_than_or_equal(k(l),upper_bound)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f268,plain,
    ( spl0_14
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f253,f117,f259,f265]) ).

fof(f270,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ less_than_or_equal(X0,upper_bound)
        | less_than_or_equal(X0,l)
        | less_than_or_equal(k(l),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X0] :
        ( less_than_or_equal(k(l),X0)
        | less_than_or_equal(X0,l)
        | ~ less_than_or_equal(X0,upper_bound) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f272,plain,
    ( spl0_13
    | spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f263,f117,f270,f259]) ).

fof(f274,plain,
    ( ~ less_than_or_equal(f(l),n0)
    | ~ spl0_13 ),
    inference(resolution,[],[f261,f19]) ).

fof(f277,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f274,f123]) ).

fof(f278,plain,
    ( ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f279,plain,
    ( ! [X0] :
        ( less_than_or_equal(k(l),X0)
        | less_than_or_equal(X0,upper_bound) )
    | ~ spl0_14 ),
    inference(resolution,[],[f267,f30]) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ less_than_or_equal(q(X0,k(l)),upper_bound)
        | less_than_or_equal(q(X0,k(l)),l)
        | less_than_or_equal(k(l),X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f271,f5]) ).

fof(f330,definition,
    ( spl0_23
  <=> less_than_or_equal(k(l),l) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f332,plain,
    ( less_than_or_equal(k(l),l)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f341,plain,
    ( ! [X0] :
        ( less_than_or_equal(q(X0,k(l)),upper_bound)
        | less_than_or_equal(k(l),X0) )
    | ~ spl0_14 ),
    inference(resolution,[],[f279,f5]) ).

fof(f348,plain,
    ( ! [X0] :
        ( less_than_or_equal(k(l),X0)
        | less_than_or_equal(q(X0,k(l)),l)
        | less_than_or_equal(k(l),X0) )
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(resolution,[],[f341,f284]) ).

fof(f353,plain,
    ( ! [X0] :
        ( less_than_or_equal(q(X0,k(l)),l)
        | less_than_or_equal(k(l),X0) )
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f354,plain,
    ( less_than_or_equal(k(l),l)
    | less_than_or_equal(k(l),l)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(resolution,[],[f353,f6]) ).

fof(f358,plain,
    ( less_than_or_equal(k(l),l)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f359,plain,
    ( spl0_23
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f358,f270,f265,f330]) ).

fof(f360,plain,
    ( less_than_or_equal(n0,f(l))
    | ~ in_interval(lower_bound,l,upper_bound)
    | ~ spl0_23 ),
    inference(resolution,[],[f332,f9]) ).

fof(f364,plain,
    ( ~ in_interval(lower_bound,l,upper_bound)
    | spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f360,f260]) ).

fof(f365,plain,
    ( $false
    | ~ spl0_3
    | spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f364,f118]) ).

fof(f366,plain,
    ( ~ spl0_3
    | spl0_13
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f365]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s6,plain,
    spl0_3,
    inference(sat_conversion,[],[f247]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_15 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s10,plain,
    ( ~ spl0_4
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s14,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_23 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_13
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s16,plain,
    spl0_4,
    inference(rat,[],[s2,s6]) ).

cnf(s17,plain,
    ~ spl0_13,
    inference(rat,[],[s10,s16]) ).

cnf(s18,plain,
    ~ spl0_23,
    inference(rat,[],[s15,s6,s17]) ).

cnf(s19,plain,
    spl0_15,
    inference(rat,[],[s9,s6,s17]) ).

cnf(s20,plain,
    spl0_14,
    inference(rat,[],[s8,s6,s17]) ).

cnf(s22,plain,
    $false,
    inference(rat,[],[s14,s18,s19,s20]) ).

fof(f367,plain,
    $false,
    inference(avatar_sat_refutation,[],[s22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA002-1 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n001.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 20:30:49 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  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
% 4.49/1.33  % (684190)Input is clausal, will run a generic CNF schedule.
% 4.49/1.33  % (684195)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1445960304:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.49/1.33  % (684198)lrs+10_1_sil=8000:sp=occurrence:random_seed=2837042627:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.49/1.33  % (684196)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3878261118:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.49/1.33  % (684199)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=274130234:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.49/1.33  % (684200)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=312571805:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.49/1.33  % (684201)dis-21_1_sil=8000:lcm=predicate:random_seed=2753367469:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.49/1.33  % (684197)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=600108278:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.49/1.33  % (684199)Instruction limit reached! 
% 4.49/1.33  % (684199)------------------------------
% 4.49/1.33  % (684199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684199)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684199)Termination reason: Instruction limit
% 4.49/1.33  % (684199)Termination phase: Saturation
% 4.49/1.33  % (684199)Time elapsed: 0.048 s
% 4.49/1.33  % (684199)Peak memory usage: 87 MB
% 4.49/1.33  % (684199)Instructions burned: 115 (million)
% 4.49/1.33  % (684198)Instruction limit reached! 
% 4.49/1.33  % (684198)------------------------------
% 4.49/1.33  % (684198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684198)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684198)Termination reason: Instruction limit
% 4.49/1.33  % (684198)Termination phase: Saturation
% 4.49/1.33  % (684198)Time elapsed: 0.066 s
% 4.49/1.33  % (684198)Peak memory usage: 88 MB
% 4.49/1.33  % (684198)Instructions burned: 109 (million)
% 4.49/1.33  % (684201)Instruction limit reached! 
% 4.49/1.33  % (684201)------------------------------
% 4.49/1.33  % (684201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684201)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684201)Termination reason: Instruction limit
% 4.49/1.33  % (684201)Termination phase: Saturation
% 4.49/1.33  % (684201)Time elapsed: 0.072 s
% 4.49/1.33  % (684201)Peak memory usage: 88 MB
% 4.49/1.33  % (684201)Instructions burned: 118 (million)
% 4.49/1.33  % (684200)Instruction limit reached! 
% 4.49/1.33  % (684200)------------------------------
% 4.49/1.33  % (684200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684200)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684200)Termination reason: Instruction limit
% 4.49/1.33  % (684200)Termination phase: Saturation
% 4.49/1.33  % (684200)Time elapsed: 0.124 s
% 4.49/1.33  % (684200)Peak memory usage: 89 MB
% 4.49/1.33  % (684200)Instructions burned: 180 (million)
% 4.49/1.33  % (684209)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3003414323:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.49/1.33  % (684210)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1735597961:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.49/1.33  % (684211)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2464787773:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.49/1.33  % (684209)Instruction limit reached! 
% 4.49/1.33  % (684209)------------------------------
% 4.49/1.33  % (684209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684209)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684209)Termination reason: Instruction limit
% 4.49/1.33  % (684209)Termination phase: Saturation
% 4.49/1.33  % (684209)Time elapsed: 0.087 s
% 4.49/1.33  % (684209)Peak memory usage: 89 MB
% 4.49/1.33  % (684209)Instructions burned: 144 (million)
% 4.49/1.33  % (684212)lrs+10_64_to=lpo:sil=8000:random_seed=2011138847:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.49/1.33  % (684195)First to succeed.
% 4.49/1.33  % (684195)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-684190"
% 4.49/1.33  % (684210)Instruction limit reached! 
% 4.49/1.33  % (684210)------------------------------
% 4.49/1.33  % (684210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684210)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684210)Termination reason: Instruction limit
% 4.49/1.33  % (684210)Termination phase: Saturation
% 4.49/1.33  % (684210)Time elapsed: 0.106 s
% 4.49/1.33  % (684210)Peak memory usage: 89 MB
% 4.49/1.33  % (684210)Instructions burned: 189 (million)
% 4.49/1.33  % (684212)Instruction limit reached! 
% 4.49/1.33  % (684212)------------------------------
% 4.49/1.33  % (684212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684212)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684212)Termination reason: Instruction limit
% 4.49/1.33  % (684212)Termination phase: Saturation
% 4.49/1.33  % (684212)Time elapsed: 0.075 s
% 4.49/1.33  % (684212)Peak memory usage: 88 MB
% 4.49/1.33  % (684212)Instructions burned: 127 (million)
% 4.49/1.33  % (684211)Instruction limit reached! 
% 4.49/1.33  % (684211)------------------------------
% 4.49/1.33  % (684211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.33  % (684211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.33  % (684211)CaDiCaL version: 2.1.3
% 4.49/1.33  % (684211)Termination reason: Instruction limit
% 4.49/1.33  % (684211)Termination phase: Saturation
% 4.49/1.33  % (684211)Time elapsed: 0.141 s
% 4.49/1.33  % (684211)Peak memory usage: 89 MB
% 4.49/1.33  % (684211)Instructions burned: 220 (million)
% 4.49/1.33  % (684217)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=11589711:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.49/1.33  % (684195)Refutation found. Thanks to Tanya!
% 4.49/1.33  % SZS status Unsatisfiable for theBenchmark
% 4.49/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.53  % (684195)------------------------------
% 5.27/1.53  % (684195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53  % (684195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53  % (684195)CaDiCaL version: 2.1.3
% 5.27/1.53  % (684195)Termination reason: Refutation
% 5.27/1.53  % (684195)Time elapsed: 0.359 s
% 5.27/1.53  % (684195)Peak memory usage: 129 MB
% 5.27/1.53  % (684195)Instructions burned: 961 (million)
% 5.27/1.53  % (684195)------------------------------
% 5.27/1.53  % (684195)------------------------------
% 5.27/1.53  % (684190)Success in time 0.651 s
% 5.27/1.53  % Vampire exiting
%------------------------------------------------------------------------------