TSTP Solution File: LAT286+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT286+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:34:16 EDT 2024

% Result   : Theorem 1.69s 1.18s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   80 (  13 unt;   0 def)
%            Number of atoms       :  245 (   4 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  284 ( 119   ~; 108   |;  35   &)
%                                         (   8 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   52 (  49   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15170,plain,
    $false,
    inference(avatar_sat_refutation,[],[f13819,f14576,f14746,f14874,f15167]) ).

fof(f15167,plain,
    spl85_36,
    inference(avatar_contradiction_clause,[],[f15166]) ).

fof(f15166,plain,
    ( $false
    | spl85_36 ),
    inference(subsumption_resolution,[],[f15165,f13109]) ).

fof(f13109,plain,
    v2_pre_topc(sK4),
    inference(cnf_transformation,[],[f12883]) ).

fof(f12883,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK4),u1_struct_0(k6_lopclset(sK4)))
    & l1_pre_topc(sK4)
    & v2_pre_topc(sK4)
    & ~ v3_struct_0(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f12393,f12882]) ).

fof(f12882,plain,
    ( ? [X0] :
        ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
        & l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
   => ( ~ m1_subset_1(k2_pre_topc(sK4),u1_struct_0(k6_lopclset(sK4)))
      & l1_pre_topc(sK4)
      & v2_pre_topc(sK4)
      & ~ v3_struct_0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f12393,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f12392]) ).

fof(f12392,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12372]) ).

fof(f12372,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_pre_topc(X0)
          & v2_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    inference(negated_conjecture,[],[f12371]) ).

fof(f12371,conjecture,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).

fof(f15165,plain,
    ( ~ v2_pre_topc(sK4)
    | spl85_36 ),
    inference(subsumption_resolution,[],[f15152,f13110]) ).

fof(f13110,plain,
    l1_pre_topc(sK4),
    inference(cnf_transformation,[],[f12883]) ).

fof(f15152,plain,
    ( ~ l1_pre_topc(sK4)
    | ~ v2_pre_topc(sK4)
    | spl85_36 ),
    inference(resolution,[],[f14732,f13126]) ).

fof(f13126,plain,
    ! [X0] :
      ( v4_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f12405]) ).

fof(f12405,plain,
    ! [X0] :
      ( ( v4_pre_topc(k2_pre_topc(X0),X0)
        & v3_pre_topc(k2_pre_topc(X0),X0) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(flattening,[],[f12404]) ).

fof(f12404,plain,
    ! [X0] :
      ( ( v4_pre_topc(k2_pre_topc(X0),X0)
        & v3_pre_topc(k2_pre_topc(X0),X0) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f6872]) ).

fof(f6872,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0) )
     => ( v4_pre_topc(k2_pre_topc(X0),X0)
        & v3_pre_topc(k2_pre_topc(X0),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_tops_1) ).

fof(f14732,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | spl85_36 ),
    inference(avatar_component_clause,[],[f14730]) ).

fof(f14730,plain,
    ( spl85_36
  <=> v4_pre_topc(k2_pre_topc(sK4),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl85_36])]) ).

fof(f14874,plain,
    spl85_31,
    inference(avatar_contradiction_clause,[],[f14873]) ).

fof(f14873,plain,
    ( $false
    | spl85_31 ),
    inference(subsumption_resolution,[],[f14872,f13109]) ).

fof(f14872,plain,
    ( ~ v2_pre_topc(sK4)
    | spl85_31 ),
    inference(subsumption_resolution,[],[f14862,f13110]) ).

fof(f14862,plain,
    ( ~ l1_pre_topc(sK4)
    | ~ v2_pre_topc(sK4)
    | spl85_31 ),
    inference(resolution,[],[f14703,f13121]) ).

fof(f13121,plain,
    ! [X0] :
      ( v3_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f12399]) ).

fof(f12399,plain,
    ! [X0] :
      ( v3_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(flattening,[],[f12398]) ).

fof(f12398,plain,
    ! [X0] :
      ( v3_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f6941]) ).

fof(f6941,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0) )
     => v3_pre_topc(k2_pre_topc(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_tops_1) ).

fof(f14703,plain,
    ( ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | spl85_31 ),
    inference(avatar_component_clause,[],[f14701]) ).

fof(f14701,plain,
    ( spl85_31
  <=> v3_pre_topc(k2_pre_topc(sK4),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl85_31])]) ).

fof(f14746,plain,
    ( ~ spl85_31
    | ~ spl85_36
    | ~ spl85_27 ),
    inference(avatar_split_clause,[],[f14745,f14531,f14730,f14701]) ).

fof(f14531,plain,
    ( spl85_27
  <=> m1_subset_1(k2_pre_topc(sK4),k1_zfmisc_1(u1_struct_0(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl85_27])]) ).

fof(f14745,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ spl85_27 ),
    inference(subsumption_resolution,[],[f14744,f13108]) ).

fof(f13108,plain,
    ~ v3_struct_0(sK4),
    inference(cnf_transformation,[],[f12883]) ).

fof(f14744,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | v3_struct_0(sK4)
    | ~ spl85_27 ),
    inference(subsumption_resolution,[],[f14743,f13109]) ).

fof(f14743,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v2_pre_topc(sK4)
    | v3_struct_0(sK4)
    | ~ spl85_27 ),
    inference(subsumption_resolution,[],[f14742,f13110]) ).

fof(f14742,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ l1_pre_topc(sK4)
    | ~ v2_pre_topc(sK4)
    | v3_struct_0(sK4)
    | ~ spl85_27 ),
    inference(subsumption_resolution,[],[f14683,f13836]) ).

fof(f13836,plain,
    ~ r2_hidden(k2_pre_topc(sK4),k1_lopclset(sK4)),
    inference(subsumption_resolution,[],[f13830,f13590]) ).

fof(f13590,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f12804]) ).

fof(f12804,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ~ ( v1_xboole_0(X1)
        & r2_hidden(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f13830,plain,
    ( ~ r2_hidden(k2_pre_topc(sK4),k1_lopclset(sK4))
    | v1_xboole_0(k1_lopclset(sK4)) ),
    inference(resolution,[],[f13814,f13586]) ).

fof(f13586,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,X0)
      | ~ r2_hidden(X1,X0)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f13065]) ).

fof(f13065,plain,
    ! [X0,X1] :
      ( ( ( ( m1_subset_1(X1,X0)
            | ~ v1_xboole_0(X1) )
          & ( v1_xboole_0(X1)
            | ~ m1_subset_1(X1,X0) ) )
        | ~ v1_xboole_0(X0) )
      & ( ( ( m1_subset_1(X1,X0)
            | ~ r2_hidden(X1,X0) )
          & ( r2_hidden(X1,X0)
            | ~ m1_subset_1(X1,X0) ) )
        | v1_xboole_0(X0) ) ),
    inference(nnf_transformation,[],[f12802]) ).

fof(f12802,plain,
    ! [X0,X1] :
      ( ( ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) )
        | ~ v1_xboole_0(X0) )
      & ( ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) )
        | v1_xboole_0(X0) ) ),
    inference(ennf_transformation,[],[f480]) ).

fof(f480,axiom,
    ! [X0,X1] :
      ( ( v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) ) )
      & ( ~ v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f13814,plain,
    ~ m1_subset_1(k2_pre_topc(sK4),k1_lopclset(sK4)),
    inference(subsumption_resolution,[],[f13813,f13108]) ).

fof(f13813,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK4),k1_lopclset(sK4))
    | v3_struct_0(sK4) ),
    inference(subsumption_resolution,[],[f13812,f13109]) ).

fof(f13812,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK4),k1_lopclset(sK4))
    | ~ v2_pre_topc(sK4)
    | v3_struct_0(sK4) ),
    inference(subsumption_resolution,[],[f13768,f13110]) ).

fof(f13768,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK4),k1_lopclset(sK4))
    | ~ l1_pre_topc(sK4)
    | ~ v2_pre_topc(sK4)
    | v3_struct_0(sK4) ),
    inference(superposition,[],[f13111,f13143]) ).

fof(f13143,plain,
    ! [X0] :
      ( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12425]) ).

fof(f12425,plain,
    ! [X0] :
      ( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12424]) ).

fof(f12424,plain,
    ! [X0] :
      ( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12369]) ).

fof(f12369,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_lopclset) ).

fof(f13111,plain,
    ~ m1_subset_1(k2_pre_topc(sK4),u1_struct_0(k6_lopclset(sK4))),
    inference(cnf_transformation,[],[f12883]) ).

fof(f14683,plain,
    ( ~ v4_pre_topc(k2_pre_topc(sK4),sK4)
    | ~ v3_pre_topc(k2_pre_topc(sK4),sK4)
    | r2_hidden(k2_pre_topc(sK4),k1_lopclset(sK4))
    | ~ l1_pre_topc(sK4)
    | ~ v2_pre_topc(sK4)
    | v3_struct_0(sK4)
    | ~ spl85_27 ),
    inference(resolution,[],[f14532,f13595]) ).

fof(f13595,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v4_pre_topc(X1,X0)
      | ~ v3_pre_topc(X1,X0)
      | r2_hidden(X1,k1_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12810]) ).

fof(f12810,plain,
    ! [X0] :
      ( ! [X1] :
          ( r2_hidden(X1,k1_lopclset(X0))
          | ~ v4_pre_topc(X1,X0)
          | ~ v3_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12809]) ).

fof(f12809,plain,
    ! [X0] :
      ( ! [X1] :
          ( r2_hidden(X1,k1_lopclset(X0))
          | ~ v4_pre_topc(X1,X0)
          | ~ v3_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12357]) ).

fof(f12357,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( ( v4_pre_topc(X1,X0)
              & v3_pre_topc(X1,X0) )
           => r2_hidden(X1,k1_lopclset(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_lopclset) ).

fof(f14532,plain,
    ( m1_subset_1(k2_pre_topc(sK4),k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ spl85_27 ),
    inference(avatar_component_clause,[],[f14531]) ).

fof(f14576,plain,
    ( ~ spl85_7
    | spl85_27 ),
    inference(avatar_contradiction_clause,[],[f14575]) ).

fof(f14575,plain,
    ( $false
    | ~ spl85_7
    | spl85_27 ),
    inference(subsumption_resolution,[],[f14574,f13797]) ).

fof(f13797,plain,
    ( l1_struct_0(sK4)
    | ~ spl85_7 ),
    inference(avatar_component_clause,[],[f13796]) ).

fof(f13796,plain,
    ( spl85_7
  <=> l1_struct_0(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl85_7])]) ).

fof(f14574,plain,
    ( ~ l1_struct_0(sK4)
    | spl85_27 ),
    inference(subsumption_resolution,[],[f14561,f13180]) ).

fof(f13180,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f12373]) ).

fof(f12373,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f14561,plain,
    ( ~ r1_tarski(k2_pre_topc(sK4),k2_pre_topc(sK4))
    | ~ l1_struct_0(sK4)
    | spl85_27 ),
    inference(resolution,[],[f14533,f13135]) ).

fof(f13135,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ r1_tarski(X1,k2_pre_topc(X0))
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f12413]) ).

fof(f12413,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ r1_tarski(X1,k2_pre_topc(X0)) )
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f6799]) ).

fof(f6799,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => ! [X1] :
          ( r1_tarski(X1,k2_pre_topc(X0))
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_pre_topc) ).

fof(f14533,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK4),k1_zfmisc_1(u1_struct_0(sK4)))
    | spl85_27 ),
    inference(avatar_component_clause,[],[f14531]) ).

fof(f13819,plain,
    spl85_7,
    inference(avatar_contradiction_clause,[],[f13818]) ).

fof(f13818,plain,
    ( $false
    | spl85_7 ),
    inference(subsumption_resolution,[],[f13816,f13110]) ).

fof(f13816,plain,
    ( ~ l1_pre_topc(sK4)
    | spl85_7 ),
    inference(resolution,[],[f13798,f13280]) ).

fof(f13280,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f12538]) ).

fof(f12538,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f6850]) ).

fof(f6850,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

fof(f13798,plain,
    ( ~ l1_struct_0(sK4)
    | spl85_7 ),
    inference(avatar_component_clause,[],[f13796]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : LAT286+3 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 20:38:54 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/1.03  % (24918)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.79/1.03  % (24917)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2993ds/51Mi)
% 0.79/1.03  % (24920)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2993ds/34Mi)
% 0.79/1.03  % (24919)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.79/1.03  % (24916)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2993ds/34Mi)
% 0.86/1.03  % (24921)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.86/1.03  % (24922)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2993ds/83Mi)
% 0.86/1.03  % (24923)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2993ds/56Mi)
% 0.86/1.05  % (24920)Instruction limit reached!
% 0.86/1.05  % (24920)------------------------------
% 0.86/1.05  % (24920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.05  % (24920)Termination reason: Unknown
% 0.86/1.05  % (24920)Termination phase: SInE selection
% 0.86/1.05  
% 0.86/1.05  % (24920)Memory used [KB]: 17626
% 0.86/1.05  % (24920)Time elapsed: 0.021 s
% 0.86/1.05  % (24920)Instructions burned: 34 (million)
% 0.86/1.05  % (24920)------------------------------
% 0.86/1.05  % (24920)------------------------------
% 0.86/1.05  % (24917)Instruction limit reached!
% 0.86/1.05  % (24917)------------------------------
% 0.86/1.05  % (24917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.05  % (24917)Termination reason: Unknown
% 0.86/1.05  % (24917)Termination phase: SInE selection
% 0.86/1.05  
% 0.86/1.05  % (24917)Memory used [KB]: 17788
% 0.86/1.05  % (24917)Time elapsed: 0.021 s
% 0.86/1.05  % (24917)Instructions burned: 52 (million)
% 0.86/1.05  % (24917)------------------------------
% 0.86/1.05  % (24917)------------------------------
% 0.86/1.05  % (24919)Instruction limit reached!
% 0.86/1.05  % (24919)------------------------------
% 0.86/1.05  % (24919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.05  % (24919)Termination reason: Unknown
% 0.86/1.05  % (24919)Termination phase: SInE selection
% 0.86/1.05  
% 0.86/1.05  % (24919)Memory used [KB]: 17626
% 0.86/1.05  % (24919)Time elapsed: 0.022 s
% 0.86/1.05  % (24919)Instructions burned: 33 (million)
% 0.86/1.05  % (24919)------------------------------
% 0.86/1.05  % (24919)------------------------------
% 0.86/1.05  % (24916)Instruction limit reached!
% 0.86/1.05  % (24916)------------------------------
% 0.86/1.05  % (24916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.05  % (24916)Termination reason: Unknown
% 0.86/1.05  % (24916)Termination phase: SInE selection
% 0.86/1.05  
% 0.86/1.05  % (24916)Memory used [KB]: 17626
% 0.86/1.05  % (24916)Time elapsed: 0.024 s
% 0.86/1.05  % (24916)Instructions burned: 34 (million)
% 0.86/1.05  % (24916)------------------------------
% 0.86/1.05  % (24916)------------------------------
% 0.86/1.05  % (24924)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2992ds/55Mi)
% 0.86/1.05  % (24926)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2992ds/208Mi)
% 0.86/1.05  % (24925)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2992ds/50Mi)
% 0.86/1.05  % (24927)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2992ds/52Mi)
% 0.86/1.06  % (24921)Instruction limit reached!
% 0.86/1.06  % (24921)------------------------------
% 0.86/1.06  % (24921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.06  % (24921)Termination reason: Unknown
% 0.86/1.06  % (24921)Termination phase: SInE selection
% 0.86/1.06  
% 0.86/1.06  % (24921)Memory used [KB]: 17740
% 0.86/1.06  % (24921)Time elapsed: 0.030 s
% 0.86/1.06  % (24921)Instructions burned: 45 (million)
% 0.86/1.06  % (24921)------------------------------
% 0.86/1.06  % (24921)------------------------------
% 0.86/1.06  % (24923)Instruction limit reached!
% 0.86/1.06  % (24923)------------------------------
% 0.86/1.06  % (24923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.06  % (24923)Termination reason: Unknown
% 0.86/1.06  % (24923)Termination phase: SInE selection
% 0.86/1.06  
% 0.86/1.06  % (24923)Memory used [KB]: 17796
% 0.86/1.06  % (24923)Time elapsed: 0.032 s
% 0.86/1.06  % (24923)Instructions burned: 56 (million)
% 0.86/1.06  % (24923)------------------------------
% 0.86/1.06  % (24923)------------------------------
% 0.86/1.06  % (24928)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2992ds/518Mi)
% 0.86/1.06  % (24929)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2992ds/42Mi)
% 0.86/1.07  % (24918)Instruction limit reached!
% 0.86/1.07  % (24918)------------------------------
% 0.86/1.07  % (24918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.07  % (24918)Termination reason: Unknown
% 0.86/1.07  % (24918)Termination phase: Preprocessing 1
% 0.86/1.07  
% 0.86/1.07  % (24918)Memory used [KB]: 17797
% 0.86/1.07  % (24918)Time elapsed: 0.048 s
% 0.86/1.07  % (24918)Instructions burned: 78 (million)
% 0.86/1.07  % (24918)------------------------------
% 0.86/1.07  % (24918)------------------------------
% 0.86/1.07  % (24922)Instruction limit reached!
% 0.86/1.07  % (24922)------------------------------
% 0.86/1.07  % (24922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.07  % (24922)Termination reason: Unknown
% 0.86/1.07  % (24922)Termination phase: SInE selection
% 0.86/1.07  
% 0.86/1.07  % (24922)Memory used [KB]: 17802
% 0.86/1.07  % (24922)Time elapsed: 0.048 s
% 0.86/1.07  % (24922)Instructions burned: 83 (million)
% 0.86/1.07  % (24922)------------------------------
% 0.86/1.07  % (24922)------------------------------
% 0.86/1.08  % (24931)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2992ds/117Mi)
% 1.21/1.08  % (24930)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2992ds/243Mi)
% 1.21/1.08  % (24924)Instruction limit reached!
% 1.21/1.08  % (24924)------------------------------
% 1.21/1.08  % (24924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.08  % (24924)Termination reason: Unknown
% 1.21/1.08  % (24924)Termination phase: SInE selection
% 1.21/1.08  
% 1.21/1.08  % (24924)Memory used [KB]: 17796
% 1.21/1.08  % (24924)Time elapsed: 0.023 s
% 1.21/1.08  % (24924)Instructions burned: 56 (million)
% 1.21/1.08  % (24924)------------------------------
% 1.21/1.08  % (24924)------------------------------
% 1.21/1.08  % (24929)Instruction limit reached!
% 1.21/1.08  % (24929)------------------------------
% 1.21/1.08  % (24929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.08  % (24929)Termination reason: Unknown
% 1.21/1.08  % (24929)Termination phase: Preprocessing 1
% 1.21/1.08  
% 1.21/1.08  % (24929)Memory used [KB]: 17814
% 1.21/1.08  % (24929)Time elapsed: 0.022 s
% 1.21/1.08  % (24929)Instructions burned: 42 (million)
% 1.21/1.08  % (24929)------------------------------
% 1.21/1.08  % (24929)------------------------------
% 1.21/1.09  % (24925)Instruction limit reached!
% 1.21/1.09  % (24925)------------------------------
% 1.21/1.09  % (24925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.09  % (24925)Termination reason: Unknown
% 1.21/1.09  % (24925)Termination phase: SInE selection
% 1.21/1.09  
% 1.21/1.09  % (24925)Memory used [KB]: 17773
% 1.21/1.09  % (24925)Time elapsed: 0.036 s
% 1.21/1.09  % (24925)Instructions burned: 51 (million)
% 1.21/1.09  % (24925)------------------------------
% 1.21/1.09  % (24925)------------------------------
% 1.21/1.09  % (24927)Instruction limit reached!
% 1.21/1.09  % (24927)------------------------------
% 1.21/1.09  % (24927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.09  % (24927)Termination reason: Unknown
% 1.21/1.09  % (24927)Termination phase: SInE selection
% 1.21/1.09  
% 1.21/1.09  % (24927)Memory used [KB]: 17796
% 1.21/1.09  % (24927)Time elapsed: 0.036 s
% 1.21/1.09  % (24927)Instructions burned: 52 (million)
% 1.21/1.09  % (24927)------------------------------
% 1.21/1.09  % (24927)------------------------------
% 1.21/1.09  % (24933)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2992ds/93Mi)
% 1.21/1.09  % (24934)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2992ds/62Mi)
% 1.21/1.09  % (24932)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2992ds/143Mi)
% 1.21/1.11  % (24935)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2992ds/32Mi)
% 1.21/1.12  % (24935)Instruction limit reached!
% 1.21/1.12  % (24935)------------------------------
% 1.21/1.12  % (24935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.12  % (24935)Termination reason: Unknown
% 1.21/1.12  % (24935)Termination phase: SInE selection
% 1.21/1.12  
% 1.21/1.12  % (24935)Memory used [KB]: 17627
% 1.21/1.12  % (24935)Time elapsed: 0.014 s
% 1.21/1.12  % (24935)Instructions burned: 33 (million)
% 1.21/1.12  % (24935)------------------------------
% 1.21/1.12  % (24935)------------------------------
% 1.21/1.13  % (24934)Instruction limit reached!
% 1.21/1.13  % (24934)------------------------------
% 1.21/1.13  % (24934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.13  % (24934)Termination reason: Unknown
% 1.21/1.13  % (24934)Termination phase: Preprocessing 1
% 1.21/1.13  
% 1.21/1.13  % (24934)Memory used [KB]: 17839
% 1.21/1.13  % (24934)Time elapsed: 0.037 s
% 1.21/1.13  % (24934)Instructions burned: 63 (million)
% 1.21/1.13  % (24934)------------------------------
% 1.21/1.13  % (24934)------------------------------
% 1.21/1.13  % (24936)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2992ds/1919Mi)
% 1.21/1.14  % (24937)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2992ds/55Mi)
% 1.21/1.14  % (24933)Instruction limit reached!
% 1.21/1.14  % (24933)------------------------------
% 1.21/1.14  % (24933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.21/1.14  % (24933)Termination reason: Unknown
% 1.21/1.14  % (24933)Termination phase: Unused predicate definition removal
% 1.21/1.14  
% 1.21/1.14  % (24933)Memory used [KB]: 19202
% 1.21/1.14  % (24933)Time elapsed: 0.057 s
% 1.21/1.14  % (24933)Instructions burned: 93 (million)
% 1.21/1.14  % (24933)------------------------------
% 1.21/1.14  % (24933)------------------------------
% 1.50/1.15  % (24931)Instruction limit reached!
% 1.50/1.15  % (24931)------------------------------
% 1.50/1.15  % (24931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.50/1.15  % (24931)Termination reason: Unknown
% 1.50/1.15  % (24931)Termination phase: Property scanning
% 1.50/1.15  
% 1.50/1.15  % (24931)Memory used [KB]: 19136
% 1.50/1.15  % (24931)Time elapsed: 0.077 s
% 1.50/1.15  % (24931)Instructions burned: 118 (million)
% 1.50/1.15  % (24931)------------------------------
% 1.50/1.15  % (24931)------------------------------
% 1.50/1.16  % (24939)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2991ds/46Mi)
% 1.50/1.16  % (24938)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2991ds/53Mi)
% 1.50/1.16  % (24926)Instruction limit reached!
% 1.50/1.16  % (24926)------------------------------
% 1.50/1.16  % (24926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.50/1.16  % (24926)Termination reason: Unknown
% 1.50/1.16  % (24926)Termination phase: Saturation
% 1.50/1.16  
% 1.50/1.16  % (24926)Memory used [KB]: 19661
% 1.50/1.16  % (24926)Time elapsed: 0.113 s
% 1.50/1.16  % (24926)Instructions burned: 208 (million)
% 1.50/1.16  % (24926)------------------------------
% 1.50/1.16  % (24926)------------------------------
% 1.50/1.17  % (24937)Instruction limit reached!
% 1.50/1.17  % (24937)------------------------------
% 1.50/1.17  % (24937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.50/1.17  % (24937)Termination reason: Unknown
% 1.50/1.17  % (24937)Termination phase: SInE selection
% 1.50/1.17  
% 1.50/1.17  % (24937)Memory used [KB]: 17796
% 1.50/1.17  % (24937)Time elapsed: 0.037 s
% 1.50/1.17  % (24937)Instructions burned: 55 (million)
% 1.50/1.17  % (24937)------------------------------
% 1.50/1.17  % (24937)------------------------------
% 1.50/1.17  % (24928)First to succeed.
% 1.50/1.18  % (24928)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24914"
% 1.50/1.18  % (24932)Instruction limit reached!
% 1.50/1.18  % (24932)------------------------------
% 1.50/1.18  % (24932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.50/1.18  % (24932)Termination reason: Unknown
% 1.50/1.18  % (24932)Termination phase: Preprocessing 2
% 1.50/1.18  
% 1.50/1.18  % (24932)Memory used [KB]: 24047
% 1.50/1.18  % (24932)Time elapsed: 0.081 s
% 1.50/1.18  % (24932)Instructions burned: 144 (million)
% 1.50/1.18  % (24932)------------------------------
% 1.50/1.18  % (24932)------------------------------
% 1.50/1.18  % (24940)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2991ds/102Mi)
% 1.69/1.18  % (24928)Refutation found. Thanks to Tanya!
% 1.69/1.18  % SZS status Theorem for theBenchmark
% 1.69/1.18  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/1.18  % (24928)------------------------------
% 1.69/1.18  % (24928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/1.18  % (24928)Termination reason: Refutation
% 1.69/1.18  
% 1.69/1.18  % (24928)Memory used [KB]: 19403
% 1.69/1.18  % (24928)Time elapsed: 0.127 s
% 1.69/1.18  % (24928)Instructions burned: 273 (million)
% 1.69/1.18  % (24914)Success in time 0.833 s
% 1.69/1.18  % Vampire---4.8 exiting
%------------------------------------------------------------------------------