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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT300+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 11:46:41 AM UTC 2026

% Result   : Theorem 5.56s 2.26s
% Output   : Refutation 6.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   62 (  15 unt;   1 def)
%            Number of atoms       :  199 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  235 (  98   ~;  85   |;  36   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   73 (   0 sgn  65   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0,X1] :
      ~ ( r2_hidden(X0,X1)
        & ! [X2] :
            ~ ( r2_hidden(X2,X1)
              & ! [X3] :
                  ~ ( r2_hidden(X3,X1)
                    & r2_hidden(X3,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).

fof(f480,axiom,
    ! [X0,X1] :
      ( ( ~ v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) ) )
      & ( v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f553,axiom,
    ! [X0] :
    ? [X1] : m1_subset_1(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f678,axiom,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,X1)
        & m1_subset_1(X1,k1_zfmisc_1(X2)) )
     => m1_subset_1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f12317,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f13532,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f13607,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ? [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
              & r2_hidden(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).

fof(f13608,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( m2_filter_2(X1,X0)
           => ? [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
                & r2_hidden(X2,X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f13607]) ).

fof(f13618,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ~ r2_hidden(X2,X1) )
          & m2_filter_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f13608]) ).

fof(f13619,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ~ r2_hidden(X2,X1) )
          & m2_filter_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f13618]) ).

fof(f13625,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ? [X2] :
          ( r2_hidden(X2,X1)
          & ! [X3] :
              ( ~ r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X2) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f13640,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f13532]) ).

fof(f13641,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f13640]) ).

fof(f13656,plain,
    ! [X0,X1] :
      ( ( ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) )
        | v1_xboole_0(X0) )
      & ( ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) )
        | ~ v1_xboole_0(X0) ) ),
    inference(ennf_transformation,[],[f480]) ).

fof(f13660,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(ennf_transformation,[],[f678]) ).

fof(f13661,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(flattening,[],[f13660]) ).

fof(f13688,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f12317]) ).

fof(f13689,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f13688]) ).

fof(f13734,plain,
    ( ! [X2] :
        ( ~ m1_subset_1(X2,u1_struct_0(sK2))
        | ~ r2_hidden(X2,sK3) )
    & m2_filter_2(sK3,sK2)
    & ~ v3_struct_0(sK2)
    & v10_lattices(sK2)
    & l3_lattices(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f13619]) ).

fof(f13735,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ( r2_hidden(sK4(X1),X1)
        & ! [X3] :
            ( ~ r2_hidden(X3,X1)
            | ~ r2_hidden(X3,sK4(X1)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X1))],[f13625]) ).

fof(f13738,plain,
    ! [X0] : m1_subset_1(sK6(X0),X0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f553]) ).

fof(f13766,plain,
    ! [X0,X1] :
      ( ( ( ( m1_subset_1(X1,X0)
            | ~ r2_hidden(X1,X0) )
          & ( r2_hidden(X1,X0)
            | ~ m1_subset_1(X1,X0) ) )
        | v1_xboole_0(X0) )
      & ( ( ( m1_subset_1(X1,X0)
            | ~ v1_xboole_0(X1) )
          & ( v1_xboole_0(X1)
            | ~ m1_subset_1(X1,X0) ) )
        | ~ v1_xboole_0(X0) ) ),
    inference(nnf_transformation,[],[f13656]) ).

fof(f13800,plain,
    l3_lattices(sK2),
    inference(cnf_transformation,[],[f13734]) ).

fof(f13801,plain,
    v10_lattices(sK2),
    inference(cnf_transformation,[],[f13734]) ).

fof(f13802,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f13734]) ).

fof(f13803,plain,
    m2_filter_2(sK3,sK2),
    inference(cnf_transformation,[],[f13734]) ).

fof(f13804,plain,
    ! [X2] :
      ( ~ m1_subset_1(X2,u1_struct_0(sK2))
      | ~ r2_hidden(X2,sK3) ),
    inference(cnf_transformation,[],[f13734]) ).

fof(f13811,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | r2_hidden(sK4(X1),X1) ),
    inference(cnf_transformation,[],[f13735]) ).

fof(f13815,plain,
    ! [X0] : m1_subset_1(sK6(X0),X0),
    inference(cnf_transformation,[],[f13738]) ).

fof(f13847,plain,
    ! [X0,X1] :
      ( ~ m2_filter_2(X1,X0)
      | m2_lattice4(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13641]) ).

fof(f13848,plain,
    ! [X0,X1] :
      ( ~ m2_filter_2(X1,X0)
      | ~ v1_xboole_0(X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13641]) ).

fof(f13880,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,X0)
      | r2_hidden(X1,X0)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f13766]) ).

fof(f13891,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X2) ),
    inference(cnf_transformation,[],[f13661]) ).

fof(f13933,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13689]) ).

fof(f14053,plain,
    ! [X0] :
      ( r2_hidden(sK6(X0),X0)
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f13880,f13815]) ).

fof(f14074,plain,
    ! [X0] :
      ( r2_hidden(sK4(X0),X0)
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f14053,f13811]) ).

fof(f14214,plain,
    ( ~ v1_xboole_0(sK3)
    | v3_struct_0(sK2)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2) ),
    inference(resolution,[],[f13848,f13803]) ).

fof(f14217,plain,
    ( ~ v1_xboole_0(sK3)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2) ),
    inference(forward_subsumption_resolution,[],[f14214,f13802]) ).

fof(f14218,plain,
    ( ~ v1_xboole_0(sK3)
    | ~ l3_lattices(sK2) ),
    inference(forward_subsumption_resolution,[],[f14217,f13801]) ).

fof(f14219,plain,
    ~ v1_xboole_0(sK3),
    inference(forward_subsumption_resolution,[],[f14218,f13800]) ).

fof(f14239,plain,
    ( m2_lattice4(sK3,sK2)
    | v3_struct_0(sK2)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2) ),
    inference(resolution,[],[f13847,f13803]) ).

fof(f14242,plain,
    ( m2_lattice4(sK3,sK2)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2) ),
    inference(forward_subsumption_resolution,[],[f14239,f13802]) ).

fof(f14243,plain,
    ( m2_lattice4(sK3,sK2)
    | ~ l3_lattices(sK2) ),
    inference(forward_subsumption_resolution,[],[f14242,f13801]) ).

fof(f14244,plain,
    m2_lattice4(sK3,sK2),
    inference(forward_subsumption_resolution,[],[f14243,f13800]) ).

fof(f14926,definition,
    ( spl49_31
  <=> m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
    introduced(definition,[new_symbols(definition,[spl49_31])],[avatar_definition]) ).

fof(f14927,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ spl49_31 ),
    inference(avatar_component_clause,[],[f14926]) ).

fof(f14928,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | spl49_31 ),
    inference(avatar_component_clause,[],[f14926]) ).

fof(f14944,plain,
    ( ~ m2_lattice4(sK3,sK2)
    | v3_struct_0(sK2)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2)
    | spl49_31 ),
    inference(resolution,[],[f14928,f13933]) ).

fof(f14946,plain,
    ( v3_struct_0(sK2)
    | ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2)
    | spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14944,f14244]) ).

fof(f14947,plain,
    ( ~ v10_lattices(sK2)
    | ~ l3_lattices(sK2)
    | spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14946,f13802]) ).

fof(f14948,plain,
    ( ~ l3_lattices(sK2)
    | spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14947,f13801]) ).

fof(f14949,plain,
    ( $false
    | spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14948,f13800]) ).

fof(f14950,plain,
    spl49_31,
    inference(avatar_contradiction_clause,[],[f14949]) ).

fof(f14959,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,sK3)
        | m1_subset_1(X0,u1_struct_0(sK2)) )
    | ~ spl49_31 ),
    inference(resolution,[],[f14927,f13891]) ).

fof(f14964,plain,
    ( ! [X0] : ~ r2_hidden(X0,sK3)
    | ~ spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14959,f13804]) ).

fof(f14988,plain,
    ( v1_xboole_0(sK3)
    | ~ spl49_31 ),
    inference(resolution,[],[f14964,f14074]) ).

fof(f15000,plain,
    ( $false
    | ~ spl49_31 ),
    inference(forward_subsumption_resolution,[],[f14988,f14219]) ).

fof(f15001,plain,
    ~ spl49_31,
    inference(avatar_contradiction_clause,[],[f15000]) ).

cnf(s44,plain,
    spl49_31,
    inference(sat_conversion,[],[f14950]) ).

cnf(s46,plain,
    ~ spl49_31,
    inference(sat_conversion,[],[f15001]) ).

cnf(s47,plain,
    $false,
    inference(rat,[],[s44,s46]) ).

fof(f15002,plain,
    $false,
    inference(avatar_sat_refutation,[],[s47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT300+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n001.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 14:28:48 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 5.56/2.26  % (3623167)Detected formulas, will run a generic FOF schedule.
% 5.56/2.26  % (3623175)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2401802138:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 5.56/2.26  % (3623177)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3597330913:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 5.56/2.26  % (3623172)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=3486992090:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 5.56/2.26  % (3623174)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=3393132183:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 5.56/2.26  % (3623173)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=285359053:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 5.56/2.26  % (3623176)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1193624840:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 5.56/2.26  % (3623178)dis-21_1_sil=8000:lcm=predicate:random_seed=2013548748:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 5.56/2.26  % (3623175)Refutation not found, incomplete strategy
% 5.56/2.26  % (3623175)------------------------------
% 5.56/2.26  % (3623175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623175)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623175)Termination reason: Refutation not found, incomplete strategy
% 5.56/2.26  % (3623175)Time elapsed: 0.042 s
% 5.56/2.26  % (3623175)Peak memory usage: 107 MB
% 5.56/2.26  % (3623175)Instructions burned: 84 (million)
% 5.56/2.26  % (3623177)Instruction limit reached! 
% 5.56/2.26  % (3623177)------------------------------
% 5.56/2.26  % (3623177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623177)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623177)Termination reason: Instruction limit
% 5.56/2.26  % (3623177)Termination phase: Property scanning
% 5.56/2.26  % (3623177)Time elapsed: 0.060 s
% 5.56/2.26  % (3623177)Peak memory usage: 102 MB
% 5.56/2.26  % (3623177)Instructions burned: 140 (million)
% 5.56/2.26  % (3623176)Instruction limit reached! 
% 5.56/2.26  % (3623176)------------------------------
% 5.56/2.26  % (3623176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623176)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623176)Termination reason: Instruction limit
% 5.56/2.26  % (3623176)Termination phase: Property scanning
% 5.56/2.26  % (3623176)Time elapsed: 0.089 s
% 5.56/2.26  % (3623176)Peak memory usage: 105 MB
% 5.56/2.26  % (3623176)Instructions burned: 120 (million)
% 5.56/2.26  % (3623178)Instruction limit reached! 
% 5.56/2.26  % (3623178)------------------------------
% 5.56/2.26  % (3623178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623178)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623178)Termination reason: Instruction limit
% 5.56/2.26  % (3623178)Termination phase: Preprocessing 1
% 5.56/2.26  % (3623178)Time elapsed: 0.098 s
% 5.56/2.26  % (3623178)Peak memory usage: 103 MB
% 5.56/2.26  % (3623178)Instructions burned: 129 (million)
% 5.56/2.26  % (3623175)------------------------------
% 5.56/2.26  % (3623175)------------------------------
% 5.56/2.26  % (3623186)lrs+10_1_sil=8000:sp=occurrence:random_seed=329647135:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 5.56/2.26  % (3623187)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1333351367:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 5.56/2.26  % (3623188)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3433289099:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 5.56/2.26  % (3623189)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3713066594:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 5.56/2.26  % (3623187)Instruction limit reached! 
% 5.56/2.26  % (3623187)------------------------------
% 5.56/2.26  % (3623187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623187)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623187)Termination reason: Instruction limit
% 5.56/2.26  % (3623187)Termination phase: Property scanning
% 5.56/2.26  % (3623187)Time elapsed: 0.068 s
% 5.56/2.26  % (3623187)Peak memory usage: 102 MB
% 5.56/2.26  % (3623187)Instructions burned: 158 (million)
% 5.56/2.26  % (3623186)First to succeed.
% 5.56/2.26  % (3623186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3623167"
% 5.56/2.26  % (3623189)Instruction limit reached! 
% 5.56/2.26  % (3623189)------------------------------
% 5.56/2.26  % (3623189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623189)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623189)Termination reason: Instruction limit
% 5.56/2.26  % (3623189)Termination phase: SInE selection
% 5.56/2.26  % (3623189)Time elapsed: 0.072 s
% 5.56/2.26  % (3623189)Peak memory usage: 103 MB
% 5.56/2.26  % (3623189)Instructions burned: 250 (million)
% 5.56/2.26  % (3623188)Refutation not found, incomplete strategy
% 5.56/2.26  % (3623188)------------------------------
% 5.56/2.26  % (3623188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.26  % (3623188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.26  % (3623188)CaDiCaL version: 2.1.3
% 5.56/2.26  % (3623188)Termination reason: Refutation not found, incomplete strategy
% 5.56/2.26  % (3623188)Time elapsed: 0.101 s
% 5.56/2.26  % (3623188)Peak memory usage: 108 MB
% 5.56/2.26  % (3623188)Instructions burned: 130 (million)
% 5.56/2.26  % (3623194)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=15744282:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 5.56/2.26  % (3623195)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3660212800:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 5.56/2.26  % (3623186)Refutation found. Thanks to Tanya!
% 5.56/2.26  % SZS status Theorem for theBenchmark
% 5.56/2.26  % SZS output start Proof for theBenchmark
% See solution above
% 6.36/2.45  % (3623186)------------------------------
% 6.36/2.45  % (3623186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.45  % (3623186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.45  % (3623186)CaDiCaL version: 2.1.3
% 6.36/2.45  % (3623186)Termination reason: Refutation
% 6.36/2.45  % (3623186)Time elapsed: 0.104 s
% 6.36/2.45  % (3623186)Peak memory usage: 109 MB
% 6.36/2.45  % (3623186)Instructions burned: 131 (million)
% 6.36/2.45  % (3623186)------------------------------
% 6.36/2.45  % (3623186)------------------------------
% 6.36/2.45  % (3623167)Success in time 1.394 s
% 6.36/2.45  % Vampire exiting
%------------------------------------------------------------------------------