TSTP Solution File: TOP034+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : TOP034+1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 : Tue May 21 09:18:16 EDT 2024

% Result   : Theorem 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   99 (  13 unt;   0 def)
%            Number of atoms       :  536 (   0 equ)
%            Maximal formula atoms :   17 (   5 avg)
%            Number of connectives :  702 ( 265   ~; 302   |; 111   &)
%                                         (  11 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   7 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   77 (  59   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(avatar_sat_refutation,[],[f210,f214,f239,f248,f256,f264,f272]) ).

fof(f272,plain,
    spl11_8,
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | spl11_8 ),
    inference(subsumption_resolution,[],[f270,f150]) ).

fof(f150,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ~ r1_borsuk_1(sK0,sK1)
    & m2_tsp_1(sK1,sK0)
    & v2_tsp_2(sK1,sK0)
    & ~ v3_struct_0(sK1)
    & l1_pre_topc(sK0)
    & v2_pre_topc(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f103,f125,f124]) ).

fof(f124,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ r1_borsuk_1(X0,X1)
            & m2_tsp_1(X1,X0)
            & v2_tsp_2(X1,X0)
            & ~ v3_struct_0(X1) )
        & l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ~ r1_borsuk_1(sK0,X1)
          & m2_tsp_1(X1,sK0)
          & v2_tsp_2(X1,sK0)
          & ~ v3_struct_0(X1) )
      & l1_pre_topc(sK0)
      & v2_pre_topc(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( ~ r1_borsuk_1(sK0,X1)
        & m2_tsp_1(X1,sK0)
        & v2_tsp_2(X1,sK0)
        & ~ v3_struct_0(X1) )
   => ( ~ r1_borsuk_1(sK0,sK1)
      & m2_tsp_1(sK1,sK0)
      & v2_tsp_2(sK1,sK0)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & m2_tsp_1(X1,X0)
          & v2_tsp_2(X1,X0)
          & ~ v3_struct_0(X1) )
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & m2_tsp_1(X1,X0)
          & v2_tsp_2(X1,X0)
          & ~ v3_struct_0(X1) )
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_pre_topc(X0)
          & v2_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m2_tsp_1(X1,X0)
              & v2_tsp_2(X1,X0)
              & ~ v3_struct_0(X1) )
           => r1_borsuk_1(X0,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_tsp_1(X1,X0)
            & v2_tsp_2(X1,X0)
            & ~ v3_struct_0(X1) )
         => r1_borsuk_1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

fof(f270,plain,
    ( v3_struct_0(sK0)
    | spl11_8 ),
    inference(subsumption_resolution,[],[f269,f151]) ).

fof(f151,plain,
    v2_pre_topc(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f269,plain,
    ( ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_8 ),
    inference(subsumption_resolution,[],[f268,f152]) ).

fof(f152,plain,
    l1_pre_topc(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f268,plain,
    ( ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_8 ),
    inference(subsumption_resolution,[],[f267,f153]) ).

fof(f153,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f126]) ).

fof(f267,plain,
    ( v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_8 ),
    inference(subsumption_resolution,[],[f266,f154]) ).

fof(f154,plain,
    v2_tsp_2(sK1,sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f266,plain,
    ( ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_8 ),
    inference(subsumption_resolution,[],[f265,f155]) ).

fof(f155,plain,
    m2_tsp_1(sK1,sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f265,plain,
    ( ~ m2_tsp_1(sK1,sK0)
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_8 ),
    inference(resolution,[],[f238,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( v1_funct_1(sK3(X0,X1))
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v3_borsuk_1(sK3(X0,X1),X0,X1)
            & m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v5_pre_topc(sK3(X0,X1),X0,X1)
            & v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v1_funct_1(sK3(X0,X1)) )
          | ~ m2_tsp_1(X1,X0)
          | ~ v2_tsp_2(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f109,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( v3_borsuk_1(X2,X0,X1)
          & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
          & v5_pre_topc(X2,X0,X1)
          & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
          & v1_funct_1(X2) )
     => ( v3_borsuk_1(sK3(X0,X1),X0,X1)
        & m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v5_pre_topc(sK3(X0,X1),X0,X1)
        & v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          | ~ m2_tsp_1(X1,X0)
          | ~ v2_tsp_2(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          | ~ m2_tsp_1(X1,X0)
          | ~ v2_tsp_2(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_tsp_1(X1,X0)
            & v2_tsp_2(X1,X0)
            & ~ v3_struct_0(X1) )
         => ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

fof(f238,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | spl11_8 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl11_8
  <=> v1_funct_1(sK3(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f264,plain,
    spl11_7,
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | spl11_7 ),
    inference(subsumption_resolution,[],[f262,f150]) ).

fof(f262,plain,
    ( v3_struct_0(sK0)
    | spl11_7 ),
    inference(subsumption_resolution,[],[f261,f151]) ).

fof(f261,plain,
    ( ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_7 ),
    inference(subsumption_resolution,[],[f260,f152]) ).

fof(f260,plain,
    ( ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_7 ),
    inference(subsumption_resolution,[],[f259,f153]) ).

fof(f259,plain,
    ( v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_7 ),
    inference(subsumption_resolution,[],[f258,f154]) ).

fof(f258,plain,
    ( ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_7 ),
    inference(subsumption_resolution,[],[f257,f155]) ).

fof(f257,plain,
    ( ~ m2_tsp_1(sK1,sK0)
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_7 ),
    inference(resolution,[],[f234,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f234,plain,
    ( ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | spl11_7 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl11_7
  <=> v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f256,plain,
    spl11_6,
    inference(avatar_contradiction_clause,[],[f255]) ).

fof(f255,plain,
    ( $false
    | spl11_6 ),
    inference(subsumption_resolution,[],[f254,f150]) ).

fof(f254,plain,
    ( v3_struct_0(sK0)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f253,f151]) ).

fof(f253,plain,
    ( ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f252,f152]) ).

fof(f252,plain,
    ( ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f251,f153]) ).

fof(f251,plain,
    ( v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f250,f154]) ).

fof(f250,plain,
    ( ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f249,f155]) ).

fof(f249,plain,
    ( ~ m2_tsp_1(sK1,sK0)
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_6 ),
    inference(resolution,[],[f230,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( v5_pre_topc(sK3(X0,X1),X0,X1)
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f230,plain,
    ( ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | spl11_6 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl11_6
  <=> v5_pre_topc(sK3(sK0,sK1),sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f248,plain,
    spl11_5,
    inference(avatar_contradiction_clause,[],[f247]) ).

fof(f247,plain,
    ( $false
    | spl11_5 ),
    inference(subsumption_resolution,[],[f246,f150]) ).

fof(f246,plain,
    ( v3_struct_0(sK0)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f245,f151]) ).

fof(f245,plain,
    ( ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f244,f152]) ).

fof(f244,plain,
    ( ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f243,f153]) ).

fof(f243,plain,
    ( v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f242,f154]) ).

fof(f242,plain,
    ( ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f240,f155]) ).

fof(f240,plain,
    ( ~ m2_tsp_1(sK1,sK0)
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl11_5 ),
    inference(resolution,[],[f226,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f226,plain,
    ( ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | spl11_5 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl11_5
  <=> m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f239,plain,
    ( ~ spl11_5
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f222,f208,f236,f232,f228,f224]) ).

fof(f208,plain,
    ( spl11_4
  <=> ! [X0] :
        ( ~ v3_borsuk_1(X0,sK0,sK1)
        | ~ v1_funct_1(X0)
        | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
        | ~ v5_pre_topc(X0,sK0,sK1)
        | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f222,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f221,f150]) ).

fof(f221,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f220,f151]) ).

fof(f220,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f219,f152]) ).

fof(f219,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f218,f153]) ).

fof(f218,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f217,f154]) ).

fof(f217,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f215,f155]) ).

fof(f215,plain,
    ( ~ v1_funct_1(sK3(sK0,sK1))
    | ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
    | ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m2_tsp_1(sK1,sK0)
    | ~ v2_tsp_2(sK1,sK0)
    | v3_struct_0(sK1)
    | ~ l1_pre_topc(sK0)
    | ~ v2_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl11_4 ),
    inference(resolution,[],[f209,f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( v3_borsuk_1(sK3(X0,X1),X0,X1)
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ~ v3_borsuk_1(X0,sK0,sK1)
        | ~ v1_funct_1(X0)
        | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
        | ~ v5_pre_topc(X0,sK0,sK1)
        | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1)) )
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f214,plain,
    spl11_3,
    inference(avatar_contradiction_clause,[],[f213]) ).

fof(f213,plain,
    ( $false
    | spl11_3 ),
    inference(subsumption_resolution,[],[f212,f152]) ).

fof(f212,plain,
    ( ~ l1_pre_topc(sK0)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f211,f155]) ).

fof(f211,plain,
    ( ~ m2_tsp_1(sK1,sK0)
    | ~ l1_pre_topc(sK0)
    | spl11_3 ),
    inference(resolution,[],[f206,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( m1_pre_topc(X1,X0)
      | ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_tsp_1(X1,X0)
            | ~ m1_pre_topc(X1,X0) )
          & ( m1_pre_topc(X1,X0)
            | ~ m2_tsp_1(X1,X0) ) )
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_tsp_1(X1,X0)
        <=> m1_pre_topc(X1,X0) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ! [X1] :
          ( m2_tsp_1(X1,X0)
        <=> m1_pre_topc(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).

fof(f206,plain,
    ( ~ m1_pre_topc(sK1,sK0)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl11_3
  <=> m1_pre_topc(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f210,plain,
    ( ~ spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f202,f208,f204]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ v3_borsuk_1(X0,sK0,sK1)
      | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v5_pre_topc(X0,sK0,sK1)
      | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v1_funct_1(X0)
      | ~ m1_pre_topc(sK1,sK0) ),
    inference(subsumption_resolution,[],[f201,f150]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ v3_borsuk_1(X0,sK0,sK1)
      | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v5_pre_topc(X0,sK0,sK1)
      | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v1_funct_1(X0)
      | ~ m1_pre_topc(sK1,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f200,f151]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ v3_borsuk_1(X0,sK0,sK1)
      | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v5_pre_topc(X0,sK0,sK1)
      | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v1_funct_1(X0)
      | ~ m1_pre_topc(sK1,sK0)
      | ~ v2_pre_topc(sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f199,f152]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ v3_borsuk_1(X0,sK0,sK1)
      | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v5_pre_topc(X0,sK0,sK1)
      | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v1_funct_1(X0)
      | ~ m1_pre_topc(sK1,sK0)
      | ~ l1_pre_topc(sK0)
      | ~ v2_pre_topc(sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f198,f153]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ v3_borsuk_1(X0,sK0,sK1)
      | ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v5_pre_topc(X0,sK0,sK1)
      | ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
      | ~ v1_funct_1(X0)
      | ~ m1_pre_topc(sK1,sK0)
      | v3_struct_0(sK1)
      | ~ l1_pre_topc(sK0)
      | ~ v2_pre_topc(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f176,f156]) ).

fof(f156,plain,
    ~ r1_borsuk_1(sK0,sK1),
    inference(cnf_transformation,[],[f126]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( r1_borsuk_1(X0,X1)
      | ~ v3_borsuk_1(X2,X0,X1)
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v5_pre_topc(X2,X0,X1)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ m1_pre_topc(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ( v3_borsuk_1(sK5(X0,X1),X0,X1)
                & m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(sK5(X0,X1),X0,X1)
                & v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(sK5(X0,X1)) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f135,f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( v3_borsuk_1(X3,X0,X1)
          & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
          & v5_pre_topc(X3,X0,X1)
          & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
          & v1_funct_1(X3) )
     => ( v3_borsuk_1(sK5(X0,X1),X0,X1)
        & m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v5_pre_topc(sK5(X0,X1),X0,X1)
        & v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ? [X3] :
                  ( v3_borsuk_1(X3,X0,X1)
                  & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & v5_pre_topc(X3,X0,X1)
                  & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X3) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ? [X2] :
                  ( v3_borsuk_1(X2,X0,X1)
                  & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v5_pre_topc(X2,X0,X1)
                  & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X2) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_pre_topc(X1,X0)
            & ~ v3_struct_0(X1) )
         => ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 11:09:07 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.78  % (5520)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 (2995ds/34Mi)
% 0.58/0.78  % (5519)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.58/0.78  % (5518)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.78  % (5517)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 (2995ds/51Mi)
% 0.58/0.78  % (5523)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 (2995ds/56Mi)
% 0.58/0.78  % (5521)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.58/0.78  % (5521)Refutation not found, incomplete strategy% (5521)------------------------------
% 0.58/0.78  % (5521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (5521)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (5521)Memory used [KB]: 1115
% 0.58/0.78  % (5521)Time elapsed: 0.003 s
% 0.58/0.78  % (5521)Instructions burned: 3 (million)
% 0.58/0.78  % (5516)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 (2995ds/34Mi)
% 0.58/0.78  % (5521)------------------------------
% 0.58/0.78  % (5521)------------------------------
% 0.58/0.78  % (5523)Refutation not found, incomplete strategy% (5523)------------------------------
% 0.58/0.78  % (5523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (5523)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (5523)Memory used [KB]: 1144
% 0.58/0.78  % (5523)Time elapsed: 0.004 s
% 0.58/0.78  % (5523)Instructions burned: 4 (million)
% 0.58/0.78  % (5518)First to succeed.
% 0.58/0.78  % (5523)------------------------------
% 0.58/0.78  % (5523)------------------------------
% 0.58/0.78  % (5522)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 (2995ds/83Mi)
% 0.58/0.78  % (5518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5515"
% 0.58/0.78  % (5516)Also succeeded, but the first one will report.
% 0.58/0.78  % (5518)Refutation found. Thanks to Tanya!
% 0.58/0.78  % SZS status Theorem for theBenchmark
% 0.58/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.78  % (5518)------------------------------
% 0.58/0.78  % (5518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (5518)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (5518)Memory used [KB]: 1165
% 0.58/0.78  % (5518)Time elapsed: 0.006 s
% 0.58/0.78  % (5518)Instructions burned: 9 (million)
% 0.58/0.78  % (5515)Success in time 0.453 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------