TSTP Solution File: ALG216+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG216+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 : n004.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 15:40:43 EDT 2022

% Result   : Theorem 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   70 (  24 unt;   0 def)
%            Number of atoms       :  340 (  20 equ)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  441 ( 171   ~; 157   |;  90   &)
%                                         (   4 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   5 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   56 (  50   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(avatar_sat_refutation,[],[f169,f189,f241,f294,f332]) ).

fof(f332,plain,
    ( ~ spl21_1
    | ~ spl21_3 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_3 ),
    inference(subsumption_resolution,[],[f325,f242]) ).

fof(f242,plain,
    ( l2_struct_0(sK17)
    | ~ spl21_3 ),
    inference(unit_resulting_resolution,[],[f184,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ l1_rlvect_1(X0)
      | l2_struct_0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ l1_rlvect_1(X0)
      | l2_struct_0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( l1_rlvect_1(X0)
     => l2_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).

fof(f184,plain,
    ( l1_rlvect_1(sK17)
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl21_3
  <=> l1_rlvect_1(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).

fof(f325,plain,
    ( ~ l2_struct_0(sK17)
    | ~ spl21_1 ),
    inference(unit_resulting_resolution,[],[f300,f123]) ).

fof(f123,plain,
    ! [X0] :
      ( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
      | ~ l2_struct_0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
      | ~ l2_struct_0(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( l2_struct_0(X0)
     => m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).

fof(f300,plain,
    ( ~ m1_subset_1(k1_rlvect_1(sK17),u1_struct_0(sK17))
    | ~ spl21_1 ),
    inference(unit_resulting_resolution,[],[f148,f141,f143,f145,f140,f146,f133,f149,f144,f142,f134,f137,f147,f138,f135,f136,f139,f131,f132,f164,f159]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ v8_vectsp_1(X0)
      | ~ v3_rlvect_1(X1)
      | ~ v5_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_rlvect_1(X1)
      | v3_struct_0(X1)
      | ~ l1_vectsp_2(X1,X0)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X0)
      | k1_rlvect_1(X0) = k2_group_1(X0)
      | ~ l3_vectsp_1(X0)
      | ~ v4_rlvect_1(X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
    inference(equality_resolution,[],[f129]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v5_rlvect_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v3_rlvect_1(X1)
      | v3_struct_0(X1)
      | ~ l1_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ v5_rlvect_1(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | k1_rlvect_1(X1) != X3
      | ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
      | k1_rlvect_1(X0) = k2_group_1(X0)
      | ~ v4_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ l3_vectsp_1(X0)
      | ~ v4_rlvect_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ v4_rlvect_1(X0)
      | ~ l3_vectsp_1(X0)
      | ! [X1] :
          ( ~ v6_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ! [X2] :
              ( ! [X3] :
                  ( k1_rlvect_1(X0) = k2_group_1(X0)
                  | ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
                  | ( k1_rlvect_1(X1) != X3
                    & k1_rlvect_1(X1) != X2 )
                  | ~ m1_subset_1(X3,u1_struct_0(X1)) )
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | ~ v5_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0)
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1) )
      | ~ v6_rlvect_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v4_group_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ v5_rlvect_1(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( k1_rlvect_1(X0) = k2_group_1(X0)
                  | ( k1_rlvect_1(X1) != X3
                    & k1_rlvect_1(X1) != X2 )
                  | ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
                  | ~ m1_subset_1(X3,u1_struct_0(X1)) )
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | ~ v5_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ v6_rlvect_1(X1)
          | ~ v3_rlvect_1(X1)
          | v3_struct_0(X1)
          | ~ l1_vectsp_2(X1,X0) )
      | ~ v6_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( ( v6_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & ~ v3_struct_0(X0)
        & v4_group_1(X0)
        & v5_rlvect_1(X0)
        & v3_rlvect_1(X0)
        & v7_vectsp_1(X0)
        & v6_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( v5_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & v6_rlvect_1(X1)
            & v3_rlvect_1(X1)
            & ~ v3_struct_0(X1)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X1))
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                 => ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
                   => ( k1_rlvect_1(X0) = k2_group_1(X0)
                      | ( k1_rlvect_1(X1) != X3
                        & k1_rlvect_1(X1) != X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).

fof(f164,plain,
    ( v1_rmod_5(k8_rlvect_2(sK17,sK18,k1_rlvect_1(sK17)),sK16,sK17)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl21_1
  <=> v1_rmod_5(k8_rlvect_2(sK17,sK18,k1_rlvect_1(sK17)),sK16,sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f132,plain,
    k2_group_1(sK16) != k1_rlvect_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ? [X0] :
      ( l3_vectsp_1(X0)
      & v8_vectsp_1(X0)
      & v5_rlvect_1(X0)
      & ~ v3_struct_0(X0)
      & v7_vectsp_1(X0)
      & v4_group_1(X0)
      & ? [X1] :
          ( l1_vectsp_2(X1,X0)
          & ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v5_vectsp_2(X1,X0)
          & v6_rlvect_1(X1)
          & ? [X2] :
              ( k1_rlvect_1(X0) != k2_group_1(X0)
              & ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
                | v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
              & m1_subset_1(X2,u1_struct_0(X1)) )
          & v5_rlvect_1(X1)
          & v4_rlvect_1(X1) )
      & v6_vectsp_1(X0)
      & v6_rlvect_1(X0)
      & v4_rlvect_1(X0)
      & v3_rlvect_1(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
                | v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
              & k1_rlvect_1(X0) != k2_group_1(X0)
              & m1_subset_1(X2,u1_struct_0(X1)) )
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & ~ v3_struct_0(X1)
          & v6_rlvect_1(X1)
          & l1_vectsp_2(X1,X0)
          & v5_vectsp_2(X1,X0) )
      & v3_rlvect_1(X0)
      & v5_rlvect_1(X0)
      & v7_vectsp_1(X0)
      & v6_rlvect_1(X0)
      & v4_rlvect_1(X0)
      & ~ v3_struct_0(X0)
      & l3_vectsp_1(X0)
      & v8_vectsp_1(X0)
      & v4_group_1(X0)
      & v6_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v3_rlvect_1(X0)
          & v5_rlvect_1(X0)
          & v7_vectsp_1(X0)
          & v6_rlvect_1(X0)
          & v4_rlvect_1(X0)
          & ~ v3_struct_0(X0)
          & l3_vectsp_1(X0)
          & v8_vectsp_1(X0)
          & v4_group_1(X0)
          & v6_vectsp_1(X0) )
       => ! [X1] :
            ( ( v3_rlvect_1(X1)
              & v4_rlvect_1(X1)
              & v5_rlvect_1(X1)
              & ~ v3_struct_0(X1)
              & v6_rlvect_1(X1)
              & l1_vectsp_2(X1,X0)
              & v5_vectsp_2(X1,X0) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X1))
               => ( k1_rlvect_1(X0) != k2_group_1(X0)
                 => ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
                    & ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( v3_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v7_vectsp_1(X0)
        & v6_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & ~ v3_struct_0(X0)
        & l3_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0) )
     => ! [X1] :
          ( ( v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & ~ v3_struct_0(X1)
            & v6_rlvect_1(X1)
            & l1_vectsp_2(X1,X0)
            & v5_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X1))
             => ( k1_rlvect_1(X0) != k2_group_1(X0)
               => ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
                  & ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).

fof(f131,plain,
    m1_subset_1(sK18,u1_struct_0(sK17)),
    inference(cnf_transformation,[],[f79]) ).

fof(f139,plain,
    l1_vectsp_2(sK17,sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f136,plain,
    v5_vectsp_2(sK17,sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f135,plain,
    v6_rlvect_1(sK17),
    inference(cnf_transformation,[],[f79]) ).

fof(f138,plain,
    ~ v3_struct_0(sK17),
    inference(cnf_transformation,[],[f79]) ).

fof(f147,plain,
    v5_rlvect_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f137,plain,
    v3_rlvect_1(sK17),
    inference(cnf_transformation,[],[f79]) ).

fof(f134,plain,
    v5_rlvect_1(sK17),
    inference(cnf_transformation,[],[f79]) ).

fof(f142,plain,
    v6_rlvect_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f144,plain,
    v4_group_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f149,plain,
    l3_vectsp_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f133,plain,
    v4_rlvect_1(sK17),
    inference(cnf_transformation,[],[f79]) ).

fof(f146,plain,
    ~ v3_struct_0(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f140,plain,
    v3_rlvect_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f145,plain,
    v7_vectsp_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f143,plain,
    v6_vectsp_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f141,plain,
    v4_rlvect_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f148,plain,
    v8_vectsp_1(sK16),
    inference(cnf_transformation,[],[f79]) ).

fof(f294,plain,
    ( ~ spl21_2
    | ~ spl21_3 ),
    inference(avatar_contradiction_clause,[],[f293]) ).

fof(f293,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_3 ),
    inference(subsumption_resolution,[],[f288,f208]) ).

fof(f208,plain,
    ( ~ m1_subset_1(k1_rlvect_1(sK17),u1_struct_0(sK17))
    | ~ spl21_2 ),
    inference(unit_resulting_resolution,[],[f147,f149,f134,f146,f141,f137,f145,f133,f140,f138,f148,f142,f135,f144,f143,f139,f136,f131,f132,f168,f160]) ).

fof(f160,plain,
    ! [X3,X0,X1] :
      ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
      | v3_struct_0(X1)
      | k1_rlvect_1(X0) = k2_group_1(X0)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_vectsp_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_rlvect_1(X1)
      | ~ v6_rlvect_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
      | ~ v3_rlvect_1(X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ v7_vectsp_1(X0)
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | ~ v4_rlvect_1(X0)
      | v3_struct_0(X0)
      | ~ l1_vectsp_2(X1,X0)
      | ~ l3_vectsp_1(X0)
      | ~ v5_rlvect_1(X0) ),
    inference(equality_resolution,[],[f128]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v5_rlvect_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v3_rlvect_1(X1)
      | v3_struct_0(X1)
      | ~ l1_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ v5_rlvect_1(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | k1_rlvect_1(X1) != X2
      | ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
      | k1_rlvect_1(X0) = k2_group_1(X0)
      | ~ v4_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ l3_vectsp_1(X0)
      | ~ v4_rlvect_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f168,plain,
    ( v1_rmod_5(k8_rlvect_2(sK17,k1_rlvect_1(sK17),sK18),sK16,sK17)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl21_2
  <=> v1_rmod_5(k8_rlvect_2(sK17,k1_rlvect_1(sK17),sK18),sK16,sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f288,plain,
    ( m1_subset_1(k1_rlvect_1(sK17),u1_struct_0(sK17))
    | ~ spl21_3 ),
    inference(unit_resulting_resolution,[],[f242,f123]) ).

fof(f241,plain,
    spl21_4,
    inference(avatar_split_clause,[],[f232,f186]) ).

fof(f186,plain,
    ( spl21_4
  <=> l1_struct_0(sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).

fof(f232,plain,
    l1_struct_0(sK16),
    inference(unit_resulting_resolution,[],[f174,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ l2_struct_0(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_struct_0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( l2_struct_0(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).

fof(f174,plain,
    l2_struct_0(sK16),
    inference(unit_resulting_resolution,[],[f170,f127]) ).

fof(f170,plain,
    l1_rlvect_1(sK16),
    inference(unit_resulting_resolution,[],[f149,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ l3_vectsp_1(X0)
      | l1_rlvect_1(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( l1_rlvect_1(X0)
        & l2_vectsp_1(X0) )
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( l3_vectsp_1(X0)
     => ( l1_rlvect_1(X0)
        & l2_vectsp_1(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).

fof(f189,plain,
    ( spl21_3
    | ~ spl21_4 ),
    inference(avatar_split_clause,[],[f180,f186,f182]) ).

fof(f180,plain,
    ( ~ l1_struct_0(sK16)
    | l1_rlvect_1(sK17) ),
    inference(resolution,[],[f139,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ l1_vectsp_2(X1,X0)
      | ~ l1_struct_0(X0)
      | l1_rlvect_1(X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ l1_vectsp_2(X1,X0)
          | l1_rlvect_1(X1) )
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => ! [X1] :
          ( l1_vectsp_2(X1,X0)
         => l1_rlvect_1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).

fof(f169,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f130,f166,f162]) ).

fof(f130,plain,
    ( v1_rmod_5(k8_rlvect_2(sK17,k1_rlvect_1(sK17),sK18),sK16,sK17)
    | v1_rmod_5(k8_rlvect_2(sK17,sK18,k1_rlvect_1(sK17)),sK16,sK17) ),
    inference(cnf_transformation,[],[f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 14:58:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (4923)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)
% 0.20/0.50  % (4923)Instruction limit reached!
% 0.20/0.50  % (4923)------------------------------
% 0.20/0.50  % (4923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4934)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (4921)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (4927)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  % (4924)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)
% 0.20/0.52  % (4932)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (4929)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (4923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4923)Termination reason: Unknown
% 0.20/0.52  % (4923)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (4923)Memory used [KB]: 1535
% 0.20/0.52  % (4923)Time elapsed: 0.003 s
% 0.20/0.52  % (4923)Instructions burned: 3 (million)
% 0.20/0.52  % (4923)------------------------------
% 0.20/0.52  % (4923)------------------------------
% 0.20/0.52  % (4927)Refutation not found, incomplete strategy% (4927)------------------------------
% 0.20/0.52  % (4927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4948)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.32/0.53  % (4929)First to succeed.
% 1.32/0.53  % (4944)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.32/0.53  % (4943)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)
% 1.32/0.53  % (4929)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Theorem for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (4929)------------------------------
% 1.32/0.53  % (4929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (4929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (4929)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (4929)Memory used [KB]: 6140
% 1.32/0.53  % (4929)Time elapsed: 0.117 s
% 1.32/0.53  % (4929)Instructions burned: 9 (million)
% 1.32/0.53  % (4929)------------------------------
% 1.32/0.53  % (4929)------------------------------
% 1.32/0.53  % (4920)Success in time 0.177 s
%------------------------------------------------------------------------------