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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 11:46:35 AM UTC 2026

% Result   : Theorem 1.13s 1.14s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   78 (  16 unt;   4 def)
%            Number of atoms       :  309 (   9 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  379 ( 148   ~; 164   |;  57   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   27 (   0 sgn  23   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ? [X1] :
          ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1)
          & r1_filter_1(X0,k6_lopclset(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_lopclset) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v17_lattices(X0)
          & ~ v3_realset2(X0)
          & l3_lattices(X0) )
       => ? [X1] :
            ( ~ v3_struct_0(X1)
            & v2_pre_topc(X1)
            & l1_pre_topc(X1)
            & r1_filter_1(X0,k6_lopclset(X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f38,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lopclset) ).

fof(f41,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).

fof(f75,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).

fof(f108,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => r1_filter_1(X0,k12_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).

fof(f137,plain,
    ? [X0] :
      ( ! [X1] :
          ( v3_struct_0(X1)
          | ~ v2_pre_topc(X1)
          | ~ l1_pre_topc(X1)
          | ~ r1_filter_1(X0,k6_lopclset(X1)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & ~ v3_realset2(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f138,plain,
    ? [X0] :
      ( ! [X1] :
          ( v3_struct_0(X1)
          | ~ v2_pre_topc(X1)
          | ~ l1_pre_topc(X1)
          | ~ r1_filter_1(X0,k6_lopclset(X1)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & ~ v3_realset2(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f137]) ).

fof(f183,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f184,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f183]) ).

fof(f188,plain,
    ! [X0] :
      ( ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f189,plain,
    ! [X0] :
      ( ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f188]) ).

fof(f216,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f217,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f216]) ).

fof(f240,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f241,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f240]) ).

fof(f248,plain,
    ( ! [X1] :
        ( v3_struct_0(X1)
        | ~ v2_pre_topc(X1)
        | ~ l1_pre_topc(X1)
        | ~ r1_filter_1(sK0,k6_lopclset(X1)) )
    & ~ v3_struct_0(sK0)
    & v10_lattices(sK0)
    & v17_lattices(sK0)
    & ~ v3_realset2(sK0)
    & l3_lattices(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f138]) ).

fof(f283,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f248]) ).

fof(f284,plain,
    ~ v3_realset2(sK0),
    inference(cnf_transformation,[],[f248]) ).

fof(f285,plain,
    v17_lattices(sK0),
    inference(cnf_transformation,[],[f248]) ).

fof(f286,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f248]) ).

fof(f287,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f248]) ).

fof(f288,plain,
    ! [X1] :
      ( ~ r1_filter_1(sK0,k6_lopclset(X1))
      | ~ v2_pre_topc(X1)
      | ~ l1_pre_topc(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f362,plain,
    ! [X0] :
      ( v3_realset2(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f367,plain,
    ! [X0] :
      ( l1_pre_topc(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f368,plain,
    ! [X0] :
      ( v2_pre_topc(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f563,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f585,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0))
    | ~ l3_lattices(sK0) ),
    inference(resolution,[],[f362,f284]) ).

fof(f588,plain,
    ( ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0))
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f585,f287]) ).

fof(f590,plain,
    ( ~ v17_lattices(sK0)
    | k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0))
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f588,f286]) ).

fof(f592,plain,
    ( k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0))
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f590,f285]) ).

fof(f594,plain,
    k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0)),
    inference(forward_subsumption_resolution,[],[f592,f283]) ).

fof(f598,plain,
    ( ~ r1_filter_1(sK0,k12_lopclset(sK0))
    | ~ v2_pre_topc(k11_lopclset(sK0))
    | ~ l1_pre_topc(k11_lopclset(sK0))
    | v3_struct_0(k11_lopclset(sK0)) ),
    inference(superposition,[],[f288,f594]) ).

fof(f600,definition,
    ( spl31_3
  <=> v3_struct_0(k11_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).

fof(f602,plain,
    ( v3_struct_0(k11_lopclset(sK0))
    | ~ spl31_3 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f604,definition,
    ( spl31_4
  <=> l1_pre_topc(k11_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ l1_pre_topc(k11_lopclset(sK0))
    | spl31_4 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f608,definition,
    ( spl31_5
  <=> v2_pre_topc(k11_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ v2_pre_topc(k11_lopclset(sK0))
    | spl31_5 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f612,definition,
    ( spl31_6
  <=> r1_filter_1(sK0,k12_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ r1_filter_1(sK0,k12_lopclset(sK0))
    | spl31_6 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( spl31_3
    | ~ spl31_4
    | ~ spl31_5
    | ~ spl31_6 ),
    inference(avatar_split_clause,[],[f598,f612,f608,f604,f600]) ).

fof(f631,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_4 ),
    inference(resolution,[],[f606,f367]) ).

fof(f632,plain,
    ( ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_4 ),
    inference(forward_subsumption_resolution,[],[f631,f287]) ).

fof(f633,plain,
    ( ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_4 ),
    inference(forward_subsumption_resolution,[],[f632,f286]) ).

fof(f634,plain,
    ( v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_4 ),
    inference(forward_subsumption_resolution,[],[f633,f285]) ).

fof(f635,plain,
    ( ~ l3_lattices(sK0)
    | spl31_4 ),
    inference(forward_subsumption_resolution,[],[f634,f284]) ).

fof(f636,plain,
    ( $false
    | spl31_4 ),
    inference(forward_subsumption_resolution,[],[f635,f283]) ).

fof(f637,plain,
    spl31_4,
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f638,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_5 ),
    inference(resolution,[],[f610,f368]) ).

fof(f639,plain,
    ( ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_5 ),
    inference(forward_subsumption_resolution,[],[f638,f287]) ).

fof(f640,plain,
    ( ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_5 ),
    inference(forward_subsumption_resolution,[],[f639,f286]) ).

fof(f641,plain,
    ( v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_5 ),
    inference(forward_subsumption_resolution,[],[f640,f285]) ).

fof(f642,plain,
    ( ~ l3_lattices(sK0)
    | spl31_5 ),
    inference(forward_subsumption_resolution,[],[f641,f284]) ).

fof(f643,plain,
    ( $false
    | spl31_5 ),
    inference(forward_subsumption_resolution,[],[f642,f283]) ).

fof(f644,plain,
    spl31_5,
    inference(avatar_contradiction_clause,[],[f643]) ).

fof(f658,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_6 ),
    inference(resolution,[],[f614,f563]) ).

fof(f661,plain,
    ( ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_6 ),
    inference(forward_subsumption_resolution,[],[f658,f287]) ).

fof(f663,plain,
    ( ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_6 ),
    inference(forward_subsumption_resolution,[],[f661,f286]) ).

fof(f665,plain,
    ( v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | spl31_6 ),
    inference(forward_subsumption_resolution,[],[f663,f285]) ).

fof(f667,plain,
    ( ~ l3_lattices(sK0)
    | spl31_6 ),
    inference(forward_subsumption_resolution,[],[f665,f284]) ).

fof(f669,plain,
    ( $false
    | spl31_6 ),
    inference(forward_subsumption_resolution,[],[f667,f283]) ).

fof(f670,plain,
    spl31_6,
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f678,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | ~ spl31_3 ),
    inference(resolution,[],[f602,f415]) ).

fof(f679,plain,
    ( ~ v10_lattices(sK0)
    | ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | ~ spl31_3 ),
    inference(forward_subsumption_resolution,[],[f678,f287]) ).

fof(f680,plain,
    ( ~ v17_lattices(sK0)
    | v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | ~ spl31_3 ),
    inference(forward_subsumption_resolution,[],[f679,f286]) ).

fof(f681,plain,
    ( v3_realset2(sK0)
    | ~ l3_lattices(sK0)
    | ~ spl31_3 ),
    inference(forward_subsumption_resolution,[],[f680,f285]) ).

fof(f682,plain,
    ( ~ l3_lattices(sK0)
    | ~ spl31_3 ),
    inference(forward_subsumption_resolution,[],[f681,f284]) ).

fof(f683,plain,
    ( $false
    | ~ spl31_3 ),
    inference(forward_subsumption_resolution,[],[f682,f283]) ).

fof(f684,plain,
    ~ spl31_3,
    inference(avatar_contradiction_clause,[],[f683]) ).

cnf(s2,plain,
    ( spl31_3
    | ~ spl31_4
    | ~ spl31_5
    | ~ spl31_6 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s6,plain,
    spl31_4,
    inference(sat_conversion,[],[f637]) ).

cnf(s7,plain,
    spl31_5,
    inference(sat_conversion,[],[f644]) ).

cnf(s8,plain,
    spl31_6,
    inference(sat_conversion,[],[f670]) ).

cnf(s9,plain,
    ~ spl31_3,
    inference(sat_conversion,[],[f684]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s2,s8,s7,s6,s9]) ).

fof(f685,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n017.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 14:11:50 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.40  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
% 1.13/1.14  % (2594090)Detected formulas, will run a generic FOF schedule.
% 1.13/1.14  % (2594100)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=404924241:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.13/1.14  % (2594100)First to succeed.
% 1.13/1.14  % (2594100)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2594090"
% 1.13/1.14  % (2594098)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1393316604:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.13/1.14  % (2594095)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=3584072222:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.13/1.14  % (2594096)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=1195583631:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.13/1.14  % (2594097)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=3564086296:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.13/1.14  % (2594099)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=272458805:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.13/1.14  % (2594098)Refutation not found, incomplete strategy
% 1.13/1.14  % (2594098)------------------------------
% 1.13/1.14  % (2594098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.14  % (2594098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.14  % (2594098)CaDiCaL version: 2.1.3
% 1.13/1.14  % (2594098)Termination reason: Refutation not found, incomplete strategy
% 1.13/1.14  % (2594098)Time elapsed: 0.001 s
% 1.13/1.14  % (2594099)Refutation not found, incomplete strategy
% 1.13/1.14  % (2594099)------------------------------
% 1.13/1.14  % (2594099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.14  % (2594099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.14  % (2594099)CaDiCaL version: 2.1.3
% 1.13/1.14  % (2594098)Peak memory usage: 88 MB
% 1.13/1.14  % (2594099)Termination reason: Refutation not found, incomplete strategy
% 1.13/1.14  % (2594099)Time elapsed: 0.001 s
% 1.13/1.14  % (2594099)Peak memory usage: 88 MB
% 1.13/1.14  % (2594101)dis-21_1_sil=8000:lcm=predicate:random_seed=613256742: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)
% 1.13/1.14  % (2594101)Instruction limit reached! 
% 1.13/1.14  % (2594101)------------------------------
% 1.13/1.14  % (2594101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.14  % (2594101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.14  % (2594101)CaDiCaL version: 2.1.3
% 1.13/1.14  % (2594101)Termination reason: Instruction limit
% 1.13/1.14  % (2594101)Termination phase: Saturation
% 1.13/1.14  % (2594101)Time elapsed: 0.072 s
% 1.13/1.14  % (2594101)Peak memory usage: 92 MB
% 1.13/1.14  % (2594101)Instructions burned: 131 (million)
% 1.13/1.14  % (2594100)Refutation found. Thanks to Tanya!
% 1.13/1.14  % SZS status Theorem for theBenchmark
% 1.13/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.23  % (2594100)------------------------------
% 2.62/1.23  % (2594100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.23  % (2594100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.23  % (2594100)CaDiCaL version: 2.1.3
% 2.62/1.23  % (2594100)Termination reason: Refutation
% 2.62/1.23  % (2594100)Time elapsed: 0.008 s
% 2.62/1.23  % (2594100)Peak memory usage: 90 MB
% 2.62/1.23  % (2594100)Instructions burned: 18 (million)
% 2.62/1.23  % (2594100)------------------------------
% 2.62/1.23  % (2594100)------------------------------
% 2.62/1.23  % (2594090)Success in time 0.304 s
% 2.62/1.23  % Vampire exiting
%------------------------------------------------------------------------------