TSTP Solution File: GRP642+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP642+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_sat --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 16:23:16 EDT 2022

% Result   : Theorem 1.79s 0.59s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   82 (  25 unt;   0 def)
%            Number of atoms       :  354 (  49 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  442 ( 170   ~; 174   |;  79   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   2 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (  56   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f523,plain,
    $false,
    inference(avatar_sat_refutation,[],[f330,f522]) ).

fof(f522,plain,
    spl19_4,
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | spl19_4 ),
    inference(subsumption_resolution,[],[f520,f297]) ).

fof(f297,plain,
    ( ~ v3_struct_0(sK15)
    | spl19_4 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl19_4
  <=> v3_struct_0(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).

fof(f520,plain,
    v3_struct_0(sK15),
    inference(subsumption_resolution,[],[f519,f181]) ).

fof(f181,plain,
    v1_xboole_0(k1_xboole_0),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f519,plain,
    ( ~ v1_xboole_0(k1_xboole_0)
    | v3_struct_0(sK15) ),
    inference(subsumption_resolution,[],[f518,f293]) ).

fof(f293,plain,
    l1_struct_0(sK15),
    inference(resolution,[],[f290,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( l1_group_1(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).

fof(f290,plain,
    l1_group_1(sK15),
    inference(subsumption_resolution,[],[f289,f231]) ).

fof(f231,plain,
    ~ v3_struct_0(sK14),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( v4_group_1(sK14)
    & v3_group_1(sK14)
    & m1_group_2(sK15,sK14)
    & k1_xboole_0 = k1_funct_1(k1_latsubgr(sK14),sK15)
    & v1_group_1(sK15)
    & l1_group_1(sK14)
    & ~ v3_struct_0(sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f97,f161,f160]) ).

fof(f160,plain,
    ( ? [X0] :
        ( v4_group_1(X0)
        & v3_group_1(X0)
        & ? [X1] :
            ( m1_group_2(X1,X0)
            & k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
            & v1_group_1(X1) )
        & l1_group_1(X0)
        & ~ v3_struct_0(X0) )
   => ( v4_group_1(sK14)
      & v3_group_1(sK14)
      & ? [X1] :
          ( m1_group_2(X1,sK14)
          & k1_xboole_0 = k1_funct_1(k1_latsubgr(sK14),X1)
          & v1_group_1(X1) )
      & l1_group_1(sK14)
      & ~ v3_struct_0(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ? [X1] :
        ( m1_group_2(X1,sK14)
        & k1_xboole_0 = k1_funct_1(k1_latsubgr(sK14),X1)
        & v1_group_1(X1) )
   => ( m1_group_2(sK15,sK14)
      & k1_xboole_0 = k1_funct_1(k1_latsubgr(sK14),sK15)
      & v1_group_1(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ? [X0] :
      ( v4_group_1(X0)
      & v3_group_1(X0)
      & ? [X1] :
          ( m1_group_2(X1,X0)
          & k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
          & v1_group_1(X1) )
      & l1_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ? [X0] :
      ( ? [X1] :
          ( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
          & 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(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_group_1(X0)
          & ~ v3_struct_0(X0)
          & v3_group_1(X0)
          & v4_group_1(X0) )
       => ! [X1] :
            ( ( v1_group_1(X1)
              & m1_group_2(X1,X0) )
           => k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).

fof(f289,plain,
    ( v3_struct_0(sK14)
    | l1_group_1(sK15) ),
    inference(subsumption_resolution,[],[f288,f232]) ).

fof(f232,plain,
    l1_group_1(sK14),
    inference(cnf_transformation,[],[f162]) ).

fof(f288,plain,
    ( l1_group_1(sK15)
    | ~ l1_group_1(sK14)
    | v3_struct_0(sK14) ),
    inference(subsumption_resolution,[],[f283,f236]) ).

fof(f236,plain,
    v3_group_1(sK14),
    inference(cnf_transformation,[],[f162]) ).

fof(f283,plain,
    ( ~ v3_group_1(sK14)
    | ~ l1_group_1(sK14)
    | v3_struct_0(sK14)
    | l1_group_1(sK15) ),
    inference(resolution,[],[f194,f235]) ).

fof(f235,plain,
    m1_group_2(sK15,sK14),
    inference(cnf_transformation,[],[f162]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ m1_group_2(X1,X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | l1_group_1(X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ! [X1] :
          ( ~ m1_group_2(X1,X0)
          | ( ~ v3_struct_0(X1)
            & l1_group_1(X1)
            & v3_group_1(X1) ) )
      | ~ v3_group_1(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_group_2(X1,X0)
          | ( ~ v3_struct_0(X1)
            & l1_group_1(X1)
            & v3_group_1(X1) ) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => ( ~ v3_struct_0(X1)
            & l1_group_1(X1)
            & v3_group_1(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).

fof(f518,plain,
    ( ~ l1_struct_0(sK15)
    | v3_struct_0(sK15)
    | ~ v1_xboole_0(k1_xboole_0) ),
    inference(superposition,[],[f192,f414]) ).

fof(f414,plain,
    k1_xboole_0 = u1_struct_0(sK15),
    inference(forward_demodulation,[],[f413,f246]) ).

fof(f246,plain,
    k1_xboole_0 = k1_funct_1(sF17,sK15),
    inference(backward_demodulation,[],[f242,f243]) ).

fof(f243,plain,
    k1_xboole_0 = sF18,
    inference(definition_folding,[],[f234,f242,f241]) ).

fof(f241,plain,
    k1_latsubgr(sK14) = sF17,
    introduced(function_definition,[]) ).

fof(f234,plain,
    k1_xboole_0 = k1_funct_1(k1_latsubgr(sK14),sK15),
    inference(cnf_transformation,[],[f162]) ).

fof(f242,plain,
    sF18 = k1_funct_1(sF17,sK15),
    introduced(function_definition,[]) ).

fof(f413,plain,
    k1_funct_1(sF17,sK15) = u1_struct_0(sK15),
    inference(forward_demodulation,[],[f412,f241]) ).

fof(f412,plain,
    k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15),
    inference(subsumption_resolution,[],[f411,f335]) ).

fof(f335,plain,
    v1_funct_1(sF17),
    inference(forward_demodulation,[],[f334,f241]) ).

fof(f334,plain,
    v1_funct_1(k1_latsubgr(sK14)),
    inference(subsumption_resolution,[],[f333,f231]) ).

fof(f333,plain,
    ( v3_struct_0(sK14)
    | v1_funct_1(k1_latsubgr(sK14)) ),
    inference(subsumption_resolution,[],[f332,f236]) ).

fof(f332,plain,
    ( ~ v3_group_1(sK14)
    | v1_funct_1(k1_latsubgr(sK14))
    | v3_struct_0(sK14) ),
    inference(subsumption_resolution,[],[f331,f232]) ).

fof(f331,plain,
    ( ~ l1_group_1(sK14)
    | ~ v3_group_1(sK14)
    | v3_struct_0(sK14)
    | v1_funct_1(k1_latsubgr(sK14)) ),
    inference(resolution,[],[f213,f237]) ).

fof(f237,plain,
    v4_group_1(sK14),
    inference(cnf_transformation,[],[f162]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ v4_group_1(X0)
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | v1_funct_1(k1_latsubgr(X0))
      | ~ v3_group_1(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) )
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) )
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ( v3_group_1(X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).

fof(f411,plain,
    ( ~ v1_funct_1(sF17)
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15) ),
    inference(forward_demodulation,[],[f410,f241]) ).

fof(f410,plain,
    ( ~ v1_funct_1(k1_latsubgr(sK14))
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15) ),
    inference(subsumption_resolution,[],[f409,f233]) ).

fof(f233,plain,
    v1_group_1(sK15),
    inference(cnf_transformation,[],[f162]) ).

fof(f409,plain,
    ( ~ v1_funct_1(k1_latsubgr(sK14))
    | ~ v1_group_1(sK15)
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15) ),
    inference(subsumption_resolution,[],[f408,f237]) ).

fof(f408,plain,
    ( ~ v1_funct_1(k1_latsubgr(sK14))
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15)
    | ~ v4_group_1(sK14)
    | ~ v1_group_1(sK15) ),
    inference(subsumption_resolution,[],[f407,f231]) ).

fof(f407,plain,
    ( k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15)
    | v3_struct_0(sK14)
    | ~ v1_funct_1(k1_latsubgr(sK14))
    | ~ v1_group_1(sK15)
    | ~ v4_group_1(sK14) ),
    inference(subsumption_resolution,[],[f406,f232]) ).

fof(f406,plain,
    ( ~ l1_group_1(sK14)
    | v3_struct_0(sK14)
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15)
    | ~ v4_group_1(sK14)
    | ~ v1_group_1(sK15)
    | ~ v1_funct_1(k1_latsubgr(sK14)) ),
    inference(subsumption_resolution,[],[f403,f236]) ).

fof(f403,plain,
    ( ~ v3_group_1(sK14)
    | ~ v4_group_1(sK14)
    | k1_funct_1(k1_latsubgr(sK14),sK15) = u1_struct_0(sK15)
    | ~ v1_funct_1(k1_latsubgr(sK14))
    | v3_struct_0(sK14)
    | ~ v1_group_1(sK15)
    | ~ l1_group_1(sK14) ),
    inference(resolution,[],[f245,f235]) ).

fof(f245,plain,
    ! [X3,X0] :
      ( ~ m1_group_2(X3,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | k1_funct_1(k1_latsubgr(X0),X3) = u1_struct_0(X3)
      | ~ v1_group_1(X3)
      | ~ v1_funct_1(k1_latsubgr(X0))
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(subsumption_resolution,[],[f244,f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v4_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f244,plain,
    ! [X3,X0] :
      ( ~ m1_group_2(X3,X0)
      | ~ v1_group_1(X3)
      | ~ v1_funct_1(k1_latsubgr(X0))
      | v3_struct_0(X0)
      | k1_funct_1(k1_latsubgr(X0),X3) = u1_struct_0(X3)
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(subsumption_resolution,[],[f240,f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f240,plain,
    ! [X3,X0] :
      ( ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_1(k1_latsubgr(X0))
      | k1_funct_1(k1_latsubgr(X0),X3) = u1_struct_0(X3)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ m1_group_2(X3,X0)
      | ~ v1_group_1(X3) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,plain,
    ! [X3,X0,X1] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_group_1(X3)
      | k1_funct_1(X1,X3) = u1_struct_0(X3)
      | ~ m1_group_2(X3,X0)
      | k1_latsubgr(X0) != X1
      | ~ v1_funct_1(X1)
      | v3_struct_0(X0)
      | ~ v4_group_1(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ! [X1] :
          ( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( k1_latsubgr(X0) = X1
              | ( v1_group_1(sK2(X0,X1))
                & k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
                & m1_group_2(sK2(X0,X1),X0) ) )
            & ( ! [X3] :
                  ( ~ v1_group_1(X3)
                  | k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ m1_group_2(X3,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f125,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( v1_group_1(X2)
          & k1_funct_1(X1,X2) != u1_struct_0(X2)
          & m1_group_2(X2,X0) )
     => ( v1_group_1(sK2(X0,X1))
        & k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
        & m1_group_2(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ! [X1] :
          ( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( k1_latsubgr(X0) = X1
              | ? [X2] :
                  ( v1_group_1(X2)
                  & k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & m1_group_2(X2,X0) ) )
            & ( ! [X3] :
                  ( ~ v1_group_1(X3)
                  | k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ m1_group_2(X3,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0) ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ! [X1] :
          ( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( k1_latsubgr(X0) = X1
              | ? [X2] :
                  ( v1_group_1(X2)
                  & k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & m1_group_2(X2,X0) ) )
            & ( ! [X2] :
                  ( ~ v1_group_1(X2)
                  | k1_funct_1(X1,X2) = u1_struct_0(X2)
                  | ~ m1_group_2(X2,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ! [X1] :
          ( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ( k1_latsubgr(X0) = X1
          <=> ! [X2] :
                ( ~ v1_group_1(X2)
                | k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ m1_group_2(X2,X0) ) )
          | ~ v1_funct_1(X1) )
      | v3_struct_0(X0)
      | ~ v4_group_1(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ m1_group_2(X2,X0)
                | ~ v1_group_1(X2) )
          <=> k1_latsubgr(X0) = X1 )
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1)
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & l1_group_1(X0)
        & v4_group_1(X0) )
     => ! [X1] :
          ( ( v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
            & v1_funct_1(X1)
            & m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
         => ( ! [X2] :
                ( ( m1_group_2(X2,X0)
                  & v1_group_1(X2) )
               => k1_funct_1(X1,X2) = u1_struct_0(X2) )
          <=> k1_latsubgr(X0) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).

fof(f192,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f330,plain,
    ~ spl19_4,
    inference(avatar_split_clause,[],[f329,f296]) ).

fof(f329,plain,
    ~ v3_struct_0(sK15),
    inference(subsumption_resolution,[],[f328,f231]) ).

fof(f328,plain,
    ( ~ v3_struct_0(sK15)
    | v3_struct_0(sK14) ),
    inference(subsumption_resolution,[],[f323,f236]) ).

fof(f323,plain,
    ( ~ v3_group_1(sK14)
    | ~ v3_struct_0(sK15)
    | v3_struct_0(sK14) ),
    inference(subsumption_resolution,[],[f317,f232]) ).

fof(f317,plain,
    ( ~ l1_group_1(sK14)
    | ~ v3_group_1(sK14)
    | ~ v3_struct_0(sK15)
    | v3_struct_0(sK14) ),
    inference(resolution,[],[f195,f235]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ m1_group_2(X1,X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n009.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 22:36:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.55  % (14299)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55  % (14298)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (14325)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  % (14298)Refutation not found, incomplete strategy% (14298)------------------------------
% 0.20/0.56  % (14298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14316)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (14298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14298)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (14298)Memory used [KB]: 5628
% 0.20/0.56  % (14298)Time elapsed: 0.150 s
% 0.20/0.56  % (14298)Instructions burned: 6 (million)
% 0.20/0.56  % (14298)------------------------------
% 0.20/0.56  % (14298)------------------------------
% 0.20/0.57  % (14309)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.57  % (14310)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (14306)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (14319)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58  % (14308)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58  % (14322)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.58  % (14300)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (14301)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.58  % (14304)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.79/0.58  % (14325)First to succeed.
% 1.79/0.58  % (14311)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.79/0.59  % (14305)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.79/0.59  % (14305)Instruction limit reached!
% 1.79/0.59  % (14305)------------------------------
% 1.79/0.59  % (14305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (14305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (14305)Termination reason: Unknown
% 1.79/0.59  % (14305)Termination phase: Property scanning
% 1.79/0.59  
% 1.79/0.59  % (14305)Memory used [KB]: 1023
% 1.79/0.59  % (14305)Time elapsed: 0.004 s
% 1.79/0.59  % (14305)Instructions burned: 3 (million)
% 1.79/0.59  % (14305)------------------------------
% 1.79/0.59  % (14305)------------------------------
% 1.79/0.59  % (14326)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.79/0.59  % (14303)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.59  % (14297)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.79/0.59  % (14325)Refutation found. Thanks to Tanya!
% 1.79/0.59  % SZS status Theorem for theBenchmark
% 1.79/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59  % (14325)------------------------------
% 1.79/0.59  % (14325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (14325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (14325)Termination reason: Refutation
% 1.79/0.59  
% 1.79/0.59  % (14325)Memory used [KB]: 5756
% 1.79/0.59  % (14325)Time elapsed: 0.173 s
% 1.79/0.59  % (14325)Instructions burned: 11 (million)
% 1.79/0.59  % (14325)------------------------------
% 1.79/0.59  % (14325)------------------------------
% 1.79/0.59  % (14295)Success in time 0.246 s
%------------------------------------------------------------------------------