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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 12:48:40 PM UTC 2026

% Result   : Theorem 2.33s 1.30s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   72 (   8 unt;   2 def)
%            Number of atoms       :  290 (  15 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  370 ( 152   ~; 166   |;  36   &)
%                                         (   7 <=>;   7  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   81 (   0 sgn  67   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow19) ).

fof(f72,axiom,
    ! [X0,X1,X2] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1)
        & element(X2,the_carrier(X1)) )
     => ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( point_neighbourhood(X3,X1,X2)
            & X0 = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).

fof(f114,conjecture,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <=> point_neighbourhood(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).

fof(f115,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty_carrier(X0)
          & topological_space(X0)
          & top_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( in(X2,neighborhood_system(X0,X1))
              <=> point_neighbourhood(X2,X0,X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f114]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(flattening,[],[f235]) ).

fof(f274,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( point_neighbourhood(X3,X1,X2)
            & X0 = X3 ) )
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f275,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( point_neighbourhood(X3,X1,X2)
            & X0 = X3 ) )
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(flattening,[],[f274]) ).

fof(f313,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <~> point_neighbourhood(X2,X0,X1) )
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & topological_space(X0)
      & top_str(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f314,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <~> point_neighbourhood(X2,X0,X1) )
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & topological_space(X0)
      & top_str(X0) ),
    inference(flattening,[],[f313]) ).

fof(f334,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( ~ point_neighbourhood(X3,X1,X2)
              | X0 != X3 ) )
        & ( ? [X3] :
              ( point_neighbourhood(X3,X1,X2)
              & X0 = X3 )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(nnf_transformation,[],[f275]) ).

fof(f335,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( ~ point_neighbourhood(X3,X1,X2)
              | X0 != X3 ) )
        & ( ? [X4] :
              ( point_neighbourhood(X4,X1,X2)
              & X0 = X4 )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(rectify,[],[f334]) ).

fof(f336,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( ~ point_neighbourhood(X3,X1,X2)
              | X0 != X3 ) )
        & ( ( point_neighbourhood(sK9(X0,X1,X2),X1,X2)
            & sK9(X0,X1,X2) = X0 )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X4,sK9(X0,X1,X2))],[f335]) ).

fof(f373,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ point_neighbourhood(X2,X0,X1)
                | ~ in(X2,neighborhood_system(X0,X1)) )
              & ( point_neighbourhood(X2,X0,X1)
                | in(X2,neighborhood_system(X0,X1)) ) )
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & topological_space(X0)
      & top_str(X0) ),
    inference(nnf_transformation,[],[f314]) ).

fof(f374,plain,
    ( ( ~ point_neighbourhood(sK46,sK44,sK45)
      | ~ in(sK46,neighborhood_system(sK44,sK45)) )
    & ( point_neighbourhood(sK46,sK44,sK45)
      | in(sK46,neighborhood_system(sK44,sK45)) )
    & element(sK45,the_carrier(sK44))
    & ~ empty_carrier(sK44)
    & topological_space(sK44)
    & top_str(sK44) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46)],[f373]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f531,plain,
    ! [X2,X0,X1] :
      ( sK9(X0,X1,X2) = X0
      | ~ in(X0,a_2_0_yellow19(X1,X2))
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f532,plain,
    ! [X2,X0,X1] :
      ( ~ topological_space(X1)
      | ~ in(X0,a_2_0_yellow19(X1,X2))
      | empty_carrier(X1)
      | point_neighbourhood(sK9(X0,X1,X2),X1,X2)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f533,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,a_2_0_yellow19(X1,X2))
      | ~ point_neighbourhood(X3,X1,X2)
      | X0 != X3
      | empty_carrier(X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f676,plain,
    top_str(sK44),
    inference(cnf_transformation,[],[f374]) ).

fof(f677,plain,
    topological_space(sK44),
    inference(cnf_transformation,[],[f374]) ).

fof(f678,plain,
    ~ empty_carrier(sK44),
    inference(cnf_transformation,[],[f374]) ).

fof(f679,plain,
    element(sK45,the_carrier(sK44)),
    inference(cnf_transformation,[],[f374]) ).

fof(f680,plain,
    ( point_neighbourhood(sK46,sK44,sK45)
    | in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(cnf_transformation,[],[f374]) ).

fof(f681,plain,
    ( ~ point_neighbourhood(sK46,sK44,sK45)
    | ~ in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(cnf_transformation,[],[f374]) ).

fof(f687,plain,
    ! [X2,X3,X1] :
      ( ~ topological_space(X1)
      | ~ point_neighbourhood(X3,X1,X2)
      | empty_carrier(X1)
      | in(X3,a_2_0_yellow19(X1,X2))
      | ~ top_str(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(equality_resolution,[],[f533]) ).

fof(f689,definition,
    ( spl47_1
  <=> in(sK46,neighborhood_system(sK44,sK45)) ),
    introduced(definition,[new_symbols(definition,[spl47_1])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ in(sK46,neighborhood_system(sK44,sK45))
    | spl47_1 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( in(sK46,neighborhood_system(sK44,sK45))
    | ~ spl47_1 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f693,definition,
    ( spl47_2
  <=> point_neighbourhood(sK46,sK44,sK45) ),
    introduced(definition,[new_symbols(definition,[spl47_2])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ point_neighbourhood(sK46,sK44,sK45)
    | spl47_2 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( point_neighbourhood(sK46,sK44,sK45)
    | ~ spl47_2 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f696,plain,
    ( spl47_1
    | spl47_2 ),
    inference(avatar_split_clause,[],[f680,f693,f689]) ).

fof(f697,plain,
    ( ~ spl47_1
    | ~ spl47_2 ),
    inference(avatar_split_clause,[],[f681,f693,f689]) ).

fof(f949,plain,
    ! [X0,X1] :
      ( ~ point_neighbourhood(X0,sK44,X1)
      | empty_carrier(sK44)
      | in(X0,a_2_0_yellow19(sK44,X1))
      | ~ top_str(sK44)
      | ~ element(X1,the_carrier(sK44)) ),
    inference(resolution,[],[f687,f677]) ).

fof(f950,plain,
    ! [X0,X1] :
      ( ~ point_neighbourhood(X0,sK44,X1)
      | in(X0,a_2_0_yellow19(sK44,X1))
      | ~ top_str(sK44)
      | ~ element(X1,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f949,f678]) ).

fof(f951,plain,
    ! [X0,X1] :
      ( ~ point_neighbourhood(X0,sK44,X1)
      | in(X0,a_2_0_yellow19(sK44,X1))
      | ~ element(X1,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f950,f676]) ).

fof(f952,plain,
    ! [X0,X1] :
      ( ~ in(X0,a_2_0_yellow19(sK44,X1))
      | empty_carrier(sK44)
      | point_neighbourhood(sK9(X0,sK44,X1),sK44,X1)
      | ~ top_str(sK44)
      | ~ element(X1,the_carrier(sK44)) ),
    inference(resolution,[],[f532,f677]) ).

fof(f953,plain,
    ! [X0,X1] :
      ( ~ in(X0,a_2_0_yellow19(sK44,X1))
      | point_neighbourhood(sK9(X0,sK44,X1),sK44,X1)
      | ~ top_str(sK44)
      | ~ element(X1,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f952,f678]) ).

fof(f954,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(sK44))
      | point_neighbourhood(sK9(X0,sK44,X1),sK44,X1)
      | ~ in(X0,a_2_0_yellow19(sK44,X1)) ),
    inference(forward_subsumption_resolution,[],[f953,f676]) ).

fof(f955,plain,
    ( in(sK46,a_2_0_yellow19(sK44,sK45))
    | ~ element(sK45,the_carrier(sK44))
    | ~ spl47_2 ),
    inference(resolution,[],[f951,f695]) ).

fof(f959,plain,
    ( in(sK46,a_2_0_yellow19(sK44,sK45))
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f955,f679]) ).

fof(f964,plain,
    ! [X0] :
      ( point_neighbourhood(sK9(X0,sK44,sK45),sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45)) ),
    inference(resolution,[],[f954,f679]) ).

fof(f970,plain,
    ( in(sK46,neighborhood_system(sK44,sK45))
    | ~ element(sK45,the_carrier(sK44))
    | empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | ~ spl47_2 ),
    inference(superposition,[],[f959,f439]) ).

fof(f971,plain,
    ( ~ element(sK45,the_carrier(sK44))
    | empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | spl47_1
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f970,f690]) ).

fof(f981,plain,
    ( empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | spl47_1
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f971,f679]) ).

fof(f982,plain,
    ( ~ topological_space(sK44)
    | ~ top_str(sK44)
    | spl47_1
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f981,f678]) ).

fof(f983,plain,
    ( ~ top_str(sK44)
    | spl47_1
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f982,f677]) ).

fof(f984,plain,
    ( $false
    | spl47_1
    | ~ spl47_2 ),
    inference(forward_subsumption_resolution,[],[f983,f676]) ).

fof(f985,plain,
    ( spl47_1
    | ~ spl47_2 ),
    inference(avatar_contradiction_clause,[],[f984]) ).

fof(f1142,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | empty_carrier(sK44)
      | ~ topological_space(sK44)
      | ~ top_str(sK44)
      | ~ element(sK45,the_carrier(sK44)) ),
    inference(superposition,[],[f964,f531]) ).

fof(f1143,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | empty_carrier(sK44)
      | ~ topological_space(sK44)
      | ~ top_str(sK44)
      | ~ element(sK45,the_carrier(sK44)) ),
    inference(duplicate_literal_removal,[],[f1142]) ).

fof(f1144,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | ~ topological_space(sK44)
      | ~ top_str(sK44)
      | ~ element(sK45,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f1143,f678]) ).

fof(f1147,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | ~ top_str(sK44)
      | ~ element(sK45,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f1144,f677]) ).

fof(f1148,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45))
      | ~ element(sK45,the_carrier(sK44)) ),
    inference(forward_subsumption_resolution,[],[f1147,f676]) ).

fof(f1149,plain,
    ! [X0] :
      ( point_neighbourhood(X0,sK44,sK45)
      | ~ in(X0,a_2_0_yellow19(sK44,sK45)) ),
    inference(forward_subsumption_resolution,[],[f1148,f679]) ).

fof(f1433,plain,
    ( ~ in(sK46,a_2_0_yellow19(sK44,sK45))
    | spl47_2 ),
    inference(resolution,[],[f1149,f694]) ).

fof(f1442,plain,
    ( ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ element(sK45,the_carrier(sK44))
    | empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | spl47_2 ),
    inference(superposition,[],[f1433,f439]) ).

fof(f1443,plain,
    ( ~ element(sK45,the_carrier(sK44))
    | empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | ~ spl47_1
    | spl47_2 ),
    inference(forward_subsumption_resolution,[],[f1442,f691]) ).

fof(f1445,plain,
    ( empty_carrier(sK44)
    | ~ topological_space(sK44)
    | ~ top_str(sK44)
    | ~ spl47_1
    | spl47_2 ),
    inference(forward_subsumption_resolution,[],[f1443,f679]) ).

fof(f1446,plain,
    ( ~ topological_space(sK44)
    | ~ top_str(sK44)
    | ~ spl47_1
    | spl47_2 ),
    inference(forward_subsumption_resolution,[],[f1445,f678]) ).

fof(f1447,plain,
    ( ~ top_str(sK44)
    | ~ spl47_1
    | spl47_2 ),
    inference(forward_subsumption_resolution,[],[f1446,f677]) ).

fof(f1448,plain,
    ( $false
    | ~ spl47_1
    | spl47_2 ),
    inference(forward_subsumption_resolution,[],[f1447,f676]) ).

fof(f1449,plain,
    ( ~ spl47_1
    | spl47_2 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

cnf(s1,plain,
    ( spl47_1
    | spl47_2 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s2,plain,
    ( ~ spl47_1
    | ~ spl47_2 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s7,plain,
    ( spl47_1
    | ~ spl47_2 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s33,plain,
    ( ~ spl47_1
    | spl47_2 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s36,plain,
    spl47_1,
    inference(rat,[],[s1,s7]) ).

cnf(s37,plain,
    spl47_2,
    inference(rat,[],[s33,s36]) ).

cnf(s40,plain,
    $false,
    inference(rat,[],[s2,s37,s36]) ).

fof(f1450,plain,
    $false,
    inference(avatar_sat_refutation,[],[s40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36  % Computer : n018.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 28 05:06:09 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  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
% 2.33/1.30  % (3002019)Detected formulas, will run a generic FOF schedule.
% 2.33/1.30  % (3002025)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1012218177:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.33/1.30  % (3002028)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3193257436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.33/1.30  % (3002027)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1309306381:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.33/1.30  % (3002024)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=679320075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.33/1.30  % (3002026)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3545007339:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.33/1.30  % (3002029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3107594884:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.33/1.30  % (3002027)Refutation not found, incomplete strategy
% 2.33/1.30  % (3002027)------------------------------
% 2.33/1.30  % (3002027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.30  % (3002027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.30  % (3002027)CaDiCaL version: 2.1.3
% 2.33/1.30  % (3002027)Termination reason: Refutation not found, incomplete strategy
% 2.33/1.30  % (3002027)Time elapsed: 0.002 s
% 2.33/1.30  % (3002027)Peak memory usage: 88 MB
% 2.33/1.30  % (3002027)Instructions burned: 2 (million)
% 2.33/1.30  % (3002030)dis-21_1_sil=8000:lcm=predicate:random_seed=898826165:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.33/1.30  % (3002029)First to succeed.
% 2.33/1.30  % (3002029)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3002019"
% 2.33/1.30  % (3002028)Instruction limit reached! 
% 2.33/1.30  % (3002028)------------------------------
% 2.33/1.30  % (3002028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.30  % (3002028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.30  % (3002028)CaDiCaL version: 2.1.3
% 2.33/1.30  % (3002028)Termination reason: Instruction limit
% 2.33/1.30  % (3002028)Termination phase: Saturation
% 2.33/1.30  % (3002028)Time elapsed: 0.065 s
% 2.33/1.30  % (3002028)Peak memory usage: 88 MB
% 2.33/1.30  % (3002028)Instructions burned: 120 (million)
% 2.33/1.30  % (3002030)Instruction limit reached! 
% 2.33/1.30  % (3002030)------------------------------
% 2.33/1.30  % (3002030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/1.30  % (3002030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/1.30  % (3002030)CaDiCaL version: 2.1.3
% 2.33/1.30  % (3002030)Termination reason: Instruction limit
% 2.33/1.30  % (3002030)Termination phase: Saturation
% 2.33/1.30  % (3002030)Time elapsed: 0.071 s
% 2.33/1.30  % (3002030)Peak memory usage: 94 MB
% 2.33/1.30  % (3002030)Instructions burned: 129 (million)
% 2.33/1.30  % (3002038)lrs+10_1_sil=8000:sp=occurrence:random_seed=185076210:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.33/1.30  % (3002027)------------------------------
% 2.33/1.30  % (3002027)------------------------------
% 2.33/1.30  % (3002038)Also succeeded, but the first one will report.
% 2.33/1.30  % (3002039)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2872047641:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.33/1.30  % (3002039)Also succeeded, but the first one will report.
% 2.33/1.30  % (3002029)Refutation found. Thanks to Tanya!
% 2.33/1.30  % SZS status Theorem for theBenchmark
% 2.33/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.40  % (3002029)------------------------------
% 0.15/1.40  % (3002029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.40  % (3002029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.40  % (3002029)CaDiCaL version: 2.1.3
% 0.15/1.40  % (3002029)Termination reason: Refutation
% 0.15/1.40  % (3002029)Time elapsed: 0.034 s
% 0.15/1.40  % (3002029)Peak memory usage: 90 MB
% 0.15/1.40  % (3002029)Instructions burned: 41 (million)
% 0.15/1.40  % (3002029)------------------------------
% 0.15/1.40  % (3002029)------------------------------
% 0.15/1.40  % (3002019)Success in time 0.468 s
% 0.15/1.40  % Vampire exiting
%------------------------------------------------------------------------------