TSTP Solution File: GRP644+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 : Wed Aug 31 16:17:31 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   74 (  17 unt;   0 def)
%            Number of atoms       :  326 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  399 ( 147   ~; 148   |;  72   &)
%                                         (  13 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  19 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (  46   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f436,plain,
    $false,
    inference(avatar_sat_refutation,[],[f322,f325,f336,f396,f412,f415,f417,f419,f429,f433,f435]) ).

fof(f435,plain,
    ( ~ spl17_13
    | ~ spl17_8
    | ~ spl17_5
    | spl17_7
    | ~ spl17_16
    | spl17_14 ),
    inference(avatar_split_clause,[],[f434,f389,f405,f313,f305,f317,f385]) ).

fof(f385,plain,
    ( spl17_13
  <=> v4_group_1(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).

fof(f317,plain,
    ( spl17_8
  <=> v3_group_1(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f305,plain,
    ( spl17_5
  <=> l1_group_1(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f313,plain,
    ( spl17_7
  <=> v3_struct_0(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

fof(f405,plain,
    ( spl17_16
  <=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).

fof(f389,plain,
    ( spl17_14
  <=> m1_subset_1(k3_group_1(sK1,sK3),u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).

fof(f434,plain,
    ( ~ m1_subset_1(sK3,u1_struct_0(sK1))
    | v3_struct_0(sK1)
    | ~ l1_group_1(sK1)
    | ~ v3_group_1(sK1)
    | ~ v4_group_1(sK1)
    | spl17_14 ),
    inference(resolution,[],[f391,f212]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X1))
      | ~ l1_group_1(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ v4_group_1(X1)
      | ~ v3_group_1(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ v3_group_1(X1)
      | ~ l1_group_1(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | v3_struct_0(X1)
      | m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X1))
      | ~ v4_group_1(X1) ),
    inference(rectify,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | ~ v4_group_1(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,u1_struct_0(X0))
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).

fof(f391,plain,
    ( ~ m1_subset_1(k3_group_1(sK1,sK3),u1_struct_0(sK1))
    | spl17_14 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f433,plain,
    ( ~ spl17_17
    | ~ spl17_13
    | ~ spl17_5
    | ~ spl17_15
    | ~ spl17_8
    | ~ spl17_16
    | spl17_7
    | spl17_11 ),
    inference(avatar_split_clause,[],[f432,f377,f313,f405,f317,f393,f305,f385,f409]) ).

fof(f409,plain,
    ( spl17_17
  <=> r1_rlvect_1(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).

fof(f393,plain,
    ( spl17_15
  <=> m1_group_2(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).

fof(f377,plain,
    ( spl17_11
  <=> r1_rlvect_1(sK2,k3_group_1(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).

fof(f432,plain,
    ( v3_struct_0(sK1)
    | ~ m1_subset_1(sK3,u1_struct_0(sK1))
    | ~ v3_group_1(sK1)
    | ~ m1_group_2(sK2,sK1)
    | ~ l1_group_1(sK1)
    | ~ v4_group_1(sK1)
    | ~ r1_rlvect_1(sK2,sK3)
    | spl17_11 ),
    inference(resolution,[],[f379,f210]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( r1_rlvect_1(X2,k3_group_1(X0,X1))
      | ~ v3_group_1(X0)
      | ~ r1_rlvect_1(X2,X1)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ v4_group_1(X0)
      | ~ m1_group_2(X2,X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m1_group_2(X2,X0)
              | ~ r1_rlvect_1(X2,X1)
              | r1_rlvect_1(X2,k3_group_1(X0,X1)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => ( r1_rlvect_1(X2,X1)
               => r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_group_2) ).

fof(f379,plain,
    ( ~ r1_rlvect_1(sK2,k3_group_1(sK1,sK3))
    | spl17_11 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f429,plain,
    spl17_16,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | spl17_16 ),
    inference(resolution,[],[f407,f179]) ).

fof(f179,plain,
    m1_subset_1(sK3,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( m1_subset_1(sK3,u1_struct_0(sK1))
    & ~ r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2))
    & r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
    & v1_group_1(sK2)
    & m1_group_2(sK2,sK1)
    & l1_group_1(sK1)
    & ~ v3_struct_0(sK1)
    & v3_group_1(sK1)
    & v4_group_1(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f89,f128,f127,f126]) ).

fof(f126,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
                & ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
                & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
            & v1_group_1(X1)
            & m1_group_2(X1,X0) )
        & l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( m1_subset_1(X2,u1_struct_0(sK1))
              & ~ r2_hidden(k3_group_1(sK1,X2),k1_funct_1(k1_latsubgr(sK1),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK1),X1)) )
          & v1_group_1(X1)
          & m1_group_2(X1,sK1) )
      & l1_group_1(sK1)
      & ~ v3_struct_0(sK1)
      & v3_group_1(sK1)
      & v4_group_1(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( m1_subset_1(X2,u1_struct_0(sK1))
            & ~ r2_hidden(k3_group_1(sK1,X2),k1_funct_1(k1_latsubgr(sK1),X1))
            & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK1),X1)) )
        & v1_group_1(X1)
        & m1_group_2(X1,sK1) )
   => ( ? [X2] :
          ( m1_subset_1(X2,u1_struct_0(sK1))
          & ~ r2_hidden(k3_group_1(sK1,X2),k1_funct_1(k1_latsubgr(sK1),sK2))
          & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK1),sK2)) )
      & v1_group_1(sK2)
      & m1_group_2(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X2] :
        ( m1_subset_1(X2,u1_struct_0(sK1))
        & ~ r2_hidden(k3_group_1(sK1,X2),k1_funct_1(k1_latsubgr(sK1),sK2))
        & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK1),sK2)) )
   => ( m1_subset_1(sK3,u1_struct_0(sK1))
      & ~ r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2))
      & r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
              & ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & l1_group_1(X0)
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & v3_group_1(X0)
      & l1_group_1(X0)
      & v4_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v3_group_1(X0)
          & l1_group_1(X0)
          & v4_group_1(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( v1_group_1(X1)
              & m1_group_2(X1,X0) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                 => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( v3_group_1(X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
               => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

fof(f407,plain,
    ( ~ m1_subset_1(sK3,u1_struct_0(sK1))
    | spl17_16 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f419,plain,
    spl17_15,
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | spl17_15 ),
    inference(resolution,[],[f395,f175]) ).

fof(f175,plain,
    m1_group_2(sK2,sK1),
    inference(cnf_transformation,[],[f129]) ).

fof(f395,plain,
    ( ~ m1_group_2(sK2,sK1)
    | spl17_15 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f417,plain,
    spl17_13,
    inference(avatar_contradiction_clause,[],[f416]) ).

fof(f416,plain,
    ( $false
    | spl17_13 ),
    inference(resolution,[],[f387,f171]) ).

fof(f171,plain,
    v4_group_1(sK1),
    inference(cnf_transformation,[],[f129]) ).

fof(f387,plain,
    ( ~ v4_group_1(sK1)
    | spl17_13 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f415,plain,
    spl17_12,
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | spl17_12 ),
    inference(resolution,[],[f383,f176]) ).

fof(f176,plain,
    v1_group_1(sK2),
    inference(cnf_transformation,[],[f129]) ).

fof(f383,plain,
    ( ~ v1_group_1(sK2)
    | spl17_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl17_12
  <=> v1_group_1(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).

fof(f412,plain,
    ( ~ spl17_12
    | ~ spl17_8
    | ~ spl17_16
    | ~ spl17_15
    | spl17_7
    | spl17_17
    | ~ spl17_13
    | ~ spl17_5 ),
    inference(avatar_split_clause,[],[f398,f305,f385,f409,f313,f393,f405,f317,f381]) ).

fof(f398,plain,
    ( ~ l1_group_1(sK1)
    | ~ v4_group_1(sK1)
    | r1_rlvect_1(sK2,sK3)
    | v3_struct_0(sK1)
    | ~ m1_group_2(sK2,sK1)
    | ~ m1_subset_1(sK3,u1_struct_0(sK1))
    | ~ v3_group_1(sK1)
    | ~ v1_group_1(sK2) ),
    inference(resolution,[],[f230,f177]) ).

fof(f177,plain,
    r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
    inference(cnf_transformation,[],[f129]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v1_group_1(X1)
      | ~ v3_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | r1_rlvect_1(X1,X2) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ( ( r1_rlvect_1(X1,X2)
                  | ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
                & ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                  | ~ r1_rlvect_1(X1,X2) ) ) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ( r1_rlvect_1(X1,X2)
              <=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ( r1_rlvect_1(X1,X2)
              <=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ( v3_group_1(X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r1_rlvect_1(X1,X2)
              <=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).

fof(f396,plain,
    ( spl17_7
    | ~ spl17_11
    | ~ spl17_5
    | ~ spl17_12
    | ~ spl17_13
    | ~ spl17_14
    | ~ spl17_15
    | ~ spl17_8 ),
    inference(avatar_split_clause,[],[f375,f317,f393,f389,f385,f381,f305,f377,f313]) ).

fof(f375,plain,
    ( ~ v3_group_1(sK1)
    | ~ m1_group_2(sK2,sK1)
    | ~ m1_subset_1(k3_group_1(sK1,sK3),u1_struct_0(sK1))
    | ~ v4_group_1(sK1)
    | ~ v1_group_1(sK2)
    | ~ l1_group_1(sK1)
    | ~ r1_rlvect_1(sK2,k3_group_1(sK1,sK3))
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f229,f178]) ).

fof(f178,plain,
    ~ r2_hidden(k3_group_1(sK1,sK3),k1_funct_1(k1_latsubgr(sK1),sK2)),
    inference(cnf_transformation,[],[f129]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | ~ v1_group_1(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ r1_rlvect_1(X1,X2)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ v3_group_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f336,plain,
    ~ spl17_7,
    inference(avatar_contradiction_clause,[],[f335]) ).

fof(f335,plain,
    ( $false
    | ~ spl17_7 ),
    inference(resolution,[],[f315,f173]) ).

fof(f173,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f129]) ).

fof(f315,plain,
    ( v3_struct_0(sK1)
    | ~ spl17_7 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f325,plain,
    spl17_8,
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | spl17_8 ),
    inference(resolution,[],[f319,f172]) ).

fof(f172,plain,
    v3_group_1(sK1),
    inference(cnf_transformation,[],[f129]) ).

fof(f319,plain,
    ( ~ v3_group_1(sK1)
    | spl17_8 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f322,plain,
    spl17_5,
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | spl17_5 ),
    inference(resolution,[],[f307,f174]) ).

fof(f174,plain,
    l1_group_1(sK1),
    inference(cnf_transformation,[],[f129]) ).

fof(f307,plain,
    ( ~ l1_group_1(sK1)
    | spl17_5 ),
    inference(avatar_component_clause,[],[f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:36:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.51  % (14343)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (14335)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (14336)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (14344)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (14343)Instruction limit reached!
% 0.20/0.53  % (14343)------------------------------
% 0.20/0.53  % (14343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14343)Termination reason: Unknown
% 0.20/0.53  % (14343)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (14343)Memory used [KB]: 6012
% 0.20/0.53  % (14343)Time elapsed: 0.004 s
% 0.20/0.53  % (14343)Instructions burned: 3 (million)
% 0.20/0.53  % (14343)------------------------------
% 0.20/0.53  % (14343)------------------------------
% 0.20/0.53  % (14351)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53  % (14346)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (14333)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (14345)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (14351)First to succeed.
% 0.20/0.54  % (14331)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (14332)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (14338)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (14331)Instruction limit reached!
% 0.20/0.54  % (14331)------------------------------
% 0.20/0.54  % (14331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (14331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (14331)Termination reason: Unknown
% 0.20/0.54  % (14331)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (14331)Memory used [KB]: 1535
% 0.20/0.54  % (14331)Time elapsed: 0.003 s
% 0.20/0.54  % (14331)Instructions burned: 4 (million)
% 0.20/0.54  % (14331)------------------------------
% 0.20/0.54  % (14331)------------------------------
% 0.20/0.54  % (14344)Instruction limit reached!
% 0.20/0.54  % (14344)------------------------------
% 0.20/0.54  % (14344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (14344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (14344)Termination reason: Unknown
% 0.20/0.54  % (14344)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (14344)Memory used [KB]: 6140
% 0.20/0.54  % (14344)Time elapsed: 0.127 s
% 0.20/0.54  % (14344)Instructions burned: 7 (million)
% 0.20/0.54  % (14344)------------------------------
% 0.20/0.54  % (14344)------------------------------
% 0.20/0.54  % (14335)Also succeeded, but the first one will report.
% 0.20/0.55  % (14351)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (14351)------------------------------
% 0.20/0.55  % (14351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (14351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (14351)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (14351)Memory used [KB]: 6140
% 0.20/0.55  % (14351)Time elapsed: 0.131 s
% 0.20/0.55  % (14351)Instructions burned: 9 (million)
% 0.20/0.55  % (14351)------------------------------
% 0.20/0.55  % (14351)------------------------------
% 0.20/0.55  % (14328)Success in time 0.197 s
%------------------------------------------------------------------------------