TSTP Solution File: LAT376+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT376+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 : n014.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 17:35:32 EDT 2022

% Result   : Theorem 1.25s 0.53s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  162 (  17 unt;   0 def)
%            Number of atoms       :  703 (   5 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  854 ( 313   ~; 386   |; 111   &)
%                                         (  14 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   37 (  35 usr;  15 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   95 (  93   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f494,plain,
    $false,
    inference(avatar_sat_refutation,[],[f425,f429,f434,f438,f442,f446,f450,f454,f462,f473,f477,f481,f485,f489,f493]) ).

fof(f493,plain,
    ~ spl13_10,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | ~ spl13_10 ),
    inference(subsumption_resolution,[],[f491,f286]) ).

fof(f286,plain,
    ~ v2_setfam_1(sK10),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ( ~ r3_yellow20(k5_waybel34(sK10),k4_waybel34(sK10),k7_waybel34(sK10),k9_waybel34(sK10),k8_waybel34(sK10))
    & ~ v2_setfam_1(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f176,f232]) ).

fof(f232,plain,
    ( ? [X0] :
        ( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
        & ~ v2_setfam_1(X0) )
   => ( ~ r3_yellow20(k5_waybel34(sK10),k4_waybel34(sK10),k7_waybel34(sK10),k9_waybel34(sK10),k8_waybel34(sK10))
      & ~ v2_setfam_1(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ? [X0] :
      ( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

fof(f491,plain,
    ( v2_setfam_1(sK10)
    | ~ spl13_10 ),
    inference(resolution,[],[f490,f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f490,plain,
    ( v1_xboole_0(sK10)
    | ~ spl13_10 ),
    inference(resolution,[],[f400,f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ( v2_altcat_1(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v2_altcat_1(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f400,plain,
    ( v3_struct_0(k4_waybel34(sK10))
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl13_10
  <=> v3_struct_0(k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f489,plain,
    ~ spl13_4,
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f487,f286]) ).

fof(f487,plain,
    ( v2_setfam_1(sK10)
    | ~ spl13_4 ),
    inference(resolution,[],[f486,f260]) ).

fof(f486,plain,
    ( v1_xboole_0(sK10)
    | ~ spl13_4 ),
    inference(resolution,[],[f376,f241]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ v3_struct_0(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & v2_altcat_1(k8_waybel34(X0))
        & ~ v3_struct_0(k8_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & v2_altcat_1(k8_waybel34(X0))
        & ~ v3_struct_0(k8_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v2_altcat_1(k8_waybel34(X0))
        & m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & ~ v3_struct_0(k8_waybel34(X0))
        & v6_altcat_1(k8_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

fof(f376,plain,
    ( v3_struct_0(k8_waybel34(sK10))
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl13_4
  <=> v3_struct_0(k8_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f485,plain,
    spl13_16,
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f484,plain,
    ( $false
    | spl13_16 ),
    inference(subsumption_resolution,[],[f483,f286]) ).

fof(f483,plain,
    ( v2_setfam_1(sK10)
    | spl13_16 ),
    inference(resolution,[],[f482,f260]) ).

fof(f482,plain,
    ( v1_xboole_0(sK10)
    | spl13_16 ),
    inference(resolution,[],[f424,f274]) ).

fof(f274,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f424,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK10))
    | spl13_16 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl13_16
  <=> v12_altcat_1(k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).

fof(f481,plain,
    spl13_14,
    inference(avatar_contradiction_clause,[],[f480]) ).

fof(f480,plain,
    ( $false
    | spl13_14 ),
    inference(subsumption_resolution,[],[f479,f286]) ).

fof(f479,plain,
    ( v2_setfam_1(sK10)
    | spl13_14 ),
    inference(resolution,[],[f478,f260]) ).

fof(f478,plain,
    ( v1_xboole_0(sK10)
    | spl13_14 ),
    inference(resolution,[],[f416,f242]) ).

fof(f242,plain,
    ! [X0] :
      ( v2_altcat_1(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f416,plain,
    ( ~ v2_altcat_1(k8_waybel34(sK10))
    | spl13_14 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f414,plain,
    ( spl13_14
  <=> v2_altcat_1(k8_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).

fof(f477,plain,
    ~ spl13_15,
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | ~ spl13_15 ),
    inference(subsumption_resolution,[],[f475,f286]) ).

fof(f475,plain,
    ( v2_setfam_1(sK10)
    | ~ spl13_15 ),
    inference(resolution,[],[f474,f260]) ).

fof(f474,plain,
    ( v1_xboole_0(sK10)
    | ~ spl13_15 ),
    inference(resolution,[],[f420,f245]) ).

fof(f245,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ( v11_altcat_1(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v11_altcat_1(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( l2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f52]) ).

fof(f52,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f420,plain,
    ( v3_struct_0(k5_waybel34(sK10))
    | ~ spl13_15 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl13_15
  <=> v3_struct_0(k5_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).

fof(f473,plain,
    spl13_13,
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | spl13_13 ),
    inference(subsumption_resolution,[],[f471,f286]) ).

fof(f471,plain,
    ( v2_setfam_1(sK10)
    | spl13_13 ),
    inference(resolution,[],[f470,f260]) ).

fof(f470,plain,
    ( v1_xboole_0(sK10)
    | spl13_13 ),
    inference(resolution,[],[f412,f272]) ).

fof(f272,plain,
    ! [X0] :
      ( v11_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f412,plain,
    ( ~ v11_altcat_1(k4_waybel34(sK10))
    | spl13_13 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl13_13
  <=> v11_altcat_1(k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).

fof(f462,plain,
    spl13_12,
    inference(avatar_contradiction_clause,[],[f461]) ).

fof(f461,plain,
    ( $false
    | spl13_12 ),
    inference(subsumption_resolution,[],[f460,f286]) ).

fof(f460,plain,
    ( v2_setfam_1(sK10)
    | spl13_12 ),
    inference(resolution,[],[f459,f260]) ).

fof(f459,plain,
    ( v1_xboole_0(sK10)
    | spl13_12 ),
    inference(resolution,[],[f408,f246]) ).

fof(f246,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f408,plain,
    ( ~ v12_altcat_1(k5_waybel34(sK10))
    | spl13_12 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl13_12
  <=> v12_altcat_1(k5_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

fof(f454,plain,
    spl13_11,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | spl13_11 ),
    inference(subsumption_resolution,[],[f452,f286]) ).

fof(f452,plain,
    ( v2_setfam_1(sK10)
    | spl13_11 ),
    inference(resolution,[],[f451,f260]) ).

fof(f451,plain,
    ( v1_xboole_0(sK10)
    | spl13_11 ),
    inference(resolution,[],[f404,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f404,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK10))
    | spl13_11 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl13_11
  <=> l2_altcat_1(k5_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

fof(f450,plain,
    spl13_9,
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | spl13_9 ),
    inference(subsumption_resolution,[],[f448,f286]) ).

fof(f448,plain,
    ( v2_setfam_1(sK10)
    | spl13_9 ),
    inference(resolution,[],[f447,f260]) ).

fof(f447,plain,
    ( v1_xboole_0(sK10)
    | spl13_9 ),
    inference(resolution,[],[f396,f276]) ).

fof(f276,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f396,plain,
    ( ~ v2_altcat_1(k4_waybel34(sK10))
    | spl13_9 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl13_9
  <=> v2_altcat_1(k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f446,plain,
    spl13_8,
    inference(avatar_contradiction_clause,[],[f445]) ).

fof(f445,plain,
    ( $false
    | spl13_8 ),
    inference(subsumption_resolution,[],[f444,f286]) ).

fof(f444,plain,
    ( v2_setfam_1(sK10)
    | spl13_8 ),
    inference(resolution,[],[f443,f260]) ).

fof(f443,plain,
    ( v1_xboole_0(sK10)
    | spl13_8 ),
    inference(resolution,[],[f392,f247]) ).

fof(f247,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f392,plain,
    ( ~ v2_altcat_1(k5_waybel34(sK10))
    | spl13_8 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl13_8
  <=> v2_altcat_1(k5_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f442,plain,
    spl13_7,
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | spl13_7 ),
    inference(subsumption_resolution,[],[f440,f286]) ).

fof(f440,plain,
    ( v2_setfam_1(sK10)
    | spl13_7 ),
    inference(resolution,[],[f439,f260]) ).

fof(f439,plain,
    ( v1_xboole_0(sK10)
    | spl13_7 ),
    inference(resolution,[],[f388,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f388,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | spl13_7 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl13_7
  <=> m1_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f438,plain,
    spl13_6,
    inference(avatar_contradiction_clause,[],[f437]) ).

fof(f437,plain,
    ( $false
    | spl13_6 ),
    inference(subsumption_resolution,[],[f436,f286]) ).

fof(f436,plain,
    ( v2_setfam_1(sK10)
    | spl13_6 ),
    inference(resolution,[],[f435,f260]) ).

fof(f435,plain,
    ( v1_xboole_0(sK10)
    | spl13_6 ),
    inference(resolution,[],[f384,f243]) ).

fof(f243,plain,
    ! [X0] :
      ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f384,plain,
    ( ~ v3_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | spl13_6 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl13_6
  <=> v3_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f434,plain,
    spl13_5,
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f433,plain,
    ( $false
    | spl13_5 ),
    inference(subsumption_resolution,[],[f432,f286]) ).

fof(f432,plain,
    ( v2_setfam_1(sK10)
    | spl13_5 ),
    inference(resolution,[],[f431,f260]) ).

fof(f431,plain,
    ( v1_xboole_0(sK10)
    | spl13_5 ),
    inference(resolution,[],[f380,f249]) ).

fof(f249,plain,
    ! [X0] :
      ( v11_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f380,plain,
    ( ~ v11_altcat_1(k5_waybel34(sK10))
    | spl13_5 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl13_5
  <=> v11_altcat_1(k5_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f429,plain,
    spl13_3,
    inference(avatar_contradiction_clause,[],[f428]) ).

fof(f428,plain,
    ( $false
    | spl13_3 ),
    inference(subsumption_resolution,[],[f427,f286]) ).

fof(f427,plain,
    ( v2_setfam_1(sK10)
    | spl13_3 ),
    inference(resolution,[],[f426,f260]) ).

fof(f426,plain,
    ( v1_xboole_0(sK10)
    | spl13_3 ),
    inference(resolution,[],[f372,f275]) ).

fof(f275,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f372,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK10))
    | spl13_3 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl13_3
  <=> l2_altcat_1(k4_waybel34(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f425,plain,
    ( ~ spl13_3
    | spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_8
    | ~ spl13_9
    | spl13_10
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14
    | spl13_15
    | ~ spl13_16 ),
    inference(avatar_split_clause,[],[f368,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

fof(f368,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK10))
    | v3_struct_0(k5_waybel34(sK10))
    | ~ v2_altcat_1(k8_waybel34(sK10))
    | ~ v11_altcat_1(k4_waybel34(sK10))
    | ~ v12_altcat_1(k5_waybel34(sK10))
    | ~ l2_altcat_1(k5_waybel34(sK10))
    | v3_struct_0(k4_waybel34(sK10))
    | ~ v2_altcat_1(k4_waybel34(sK10))
    | ~ v2_altcat_1(k5_waybel34(sK10))
    | ~ m1_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | ~ v3_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | ~ v11_altcat_1(k5_waybel34(sK10))
    | v3_struct_0(k8_waybel34(sK10))
    | ~ l2_altcat_1(k4_waybel34(sK10)) ),
    inference(subsumption_resolution,[],[f367,f286]) ).

fof(f367,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK10))
    | ~ v2_altcat_1(k5_waybel34(sK10))
    | v2_setfam_1(sK10)
    | v3_struct_0(k4_waybel34(sK10))
    | ~ v3_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | ~ m1_altcat_2(k8_waybel34(sK10),k4_waybel34(sK10))
    | ~ v12_altcat_1(k5_waybel34(sK10))
    | v3_struct_0(k5_waybel34(sK10))
    | ~ v11_altcat_1(k4_waybel34(sK10))
    | ~ l2_altcat_1(k5_waybel34(sK10))
    | ~ l2_altcat_1(k4_waybel34(sK10))
    | ~ v2_altcat_1(k4_waybel34(sK10))
    | ~ v2_altcat_1(k8_waybel34(sK10))
    | v3_struct_0(k8_waybel34(sK10))
    | ~ v11_altcat_1(k5_waybel34(sK10)) ),
    inference(resolution,[],[f366,f287]) ).

fof(f287,plain,
    ~ r3_yellow20(k5_waybel34(sK10),k4_waybel34(sK10),k7_waybel34(sK10),k9_waybel34(sK10),k8_waybel34(sK10)),
    inference(cnf_transformation,[],[f233]) ).

fof(f366,plain,
    ! [X0] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k8_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(subsumption_resolution,[],[f365,f281]) ).

fof(f281,plain,
    ! [X0] :
      ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & ~ v3_struct_0(k9_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & ~ v3_struct_0(k9_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0))
        & v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & ~ v3_struct_0(k9_waybel34(X0))
        & v6_altcat_1(k9_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

fof(f365,plain,
    ! [X0] :
      ( ~ v11_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k8_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f364,f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ v3_struct_0(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f364,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | v3_struct_0(k9_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k8_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f363,f280]) ).

fof(f280,plain,
    ! [X0] :
      ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k8_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | v3_struct_0(k5_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k9_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f362,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( v2_altcat_1(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f362,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k9_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k8_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k9_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0)) ),
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f361,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k8_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k9_waybel34(X0))
      | ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k8_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      | ~ v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k9_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f357,f254]) ).

fof(f254,plain,
    ! [X0] :
      ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(X2)
      | v3_struct_0(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | v3_struct_0(X1)
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(X2)
      | ~ l2_altcat_1(k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f356,f256]) ).

fof(f256,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(X1)
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(X2)
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v3_altcat_2(X2,k4_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f355,f255]) ).

fof(f255,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(X2)
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | v3_struct_0(X2)
      | ~ m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(subsumption_resolution,[],[f353,f294]) ).

fof(f294,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

fof(f353,plain,
    ! [X2,X0,X1] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | v3_struct_0(X2)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | v3_struct_0(X1)
      | v3_struct_0(k4_waybel34(X0)) ),
    inference(superposition,[],[f300,f289]) ).

fof(f289,plain,
    ! [X0] :
      ( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
        & k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
        & k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

fof(f300,plain,
    ! [X2,X3,X0,X1,X4] :
      ( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
      | ~ v2_altcat_1(X4)
      | ~ v16_functor0(X2,X0,X1)
      | ~ r3_yellow20(X0,X1,X2,X3,X4)
      | ~ v2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ m1_altcat_2(X3,X0)
      | ~ v3_altcat_2(X4,X1)
      | v3_struct_0(X4)
      | ~ v12_altcat_1(X0)
      | ~ m1_altcat_2(X4,X1)
      | ~ v12_altcat_1(X1)
      | ~ v3_altcat_2(X3,X0)
      | v3_struct_0(X3)
      | ~ v11_altcat_1(X0)
      | ~ v2_altcat_1(X3)
      | ~ m2_functor0(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v11_altcat_1(X1)
      | ~ l2_altcat_1(X0)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v2_altcat_1(X0)
      | ~ l2_altcat_1(X1) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ v11_altcat_1(X0)
      | ! [X1] :
          ( ~ v12_altcat_1(X1)
          | ~ v11_altcat_1(X1)
          | v3_struct_0(X1)
          | ! [X2] :
              ( ~ v21_functor0(X2,X0,X1)
              | ! [X3] :
                  ( ~ v2_altcat_1(X3)
                  | v3_struct_0(X3)
                  | ! [X4] :
                      ( ~ v2_altcat_1(X4)
                      | ~ r3_yellow20(X0,X1,X2,X3,X4)
                      | r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
                      | ~ v3_altcat_2(X4,X1)
                      | ~ m1_altcat_2(X4,X1)
                      | v3_struct_0(X4) )
                  | ~ v3_altcat_2(X3,X0)
                  | ~ m1_altcat_2(X3,X0) )
              | ~ m2_functor0(X2,X0,X1)
              | ~ v16_functor0(X2,X0,X1) )
          | ~ l2_altcat_1(X1)
          | ~ v2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ v2_altcat_1(X0) ),
    inference(flattening,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
                      | ~ r3_yellow20(X0,X1,X2,X3,X4)
                      | ~ m1_altcat_2(X4,X1)
                      | ~ v3_altcat_2(X4,X1)
                      | v3_struct_0(X4)
                      | ~ v2_altcat_1(X4) )
                  | ~ m1_altcat_2(X3,X0)
                  | ~ v2_altcat_1(X3)
                  | v3_struct_0(X3)
                  | ~ v3_altcat_2(X3,X0) )
              | ~ v21_functor0(X2,X0,X1)
              | ~ m2_functor0(X2,X0,X1)
              | ~ v16_functor0(X2,X0,X1) )
          | ~ v12_altcat_1(X1)
          | ~ v11_altcat_1(X1)
          | ~ v2_altcat_1(X1)
          | ~ l2_altcat_1(X1)
          | v3_struct_0(X1) )
      | ~ l2_altcat_1(X0)
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ v11_altcat_1(X0) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,axiom,
    ! [X0] :
      ( ( l2_altcat_1(X0)
        & v2_altcat_1(X0)
        & ~ v3_struct_0(X0)
        & v12_altcat_1(X0)
        & v11_altcat_1(X0) )
     => ! [X1] :
          ( ( v12_altcat_1(X1)
            & v11_altcat_1(X1)
            & v2_altcat_1(X1)
            & l2_altcat_1(X1)
            & ~ v3_struct_0(X1) )
         => ! [X2] :
              ( ( m2_functor0(X2,X0,X1)
                & v16_functor0(X2,X0,X1) )
             => ( v21_functor0(X2,X0,X1)
               => ! [X3] :
                    ( ( m1_altcat_2(X3,X0)
                      & v2_altcat_1(X3)
                      & ~ v3_struct_0(X3)
                      & v3_altcat_2(X3,X0) )
                   => ! [X4] :
                        ( ( m1_altcat_2(X4,X1)
                          & v3_altcat_2(X4,X1)
                          & ~ v3_struct_0(X4)
                          & v2_altcat_1(X4) )
                       => ( r3_yellow20(X0,X1,X2,X3,X4)
                         => r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT376+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 01:25:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (29000)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)
% 0.20/0.51  % (28983)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)
% 1.25/0.53  % (28983)First to succeed.
% 1.25/0.53  % (29004)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.53  % (28991)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)
% 1.25/0.53  % (28991)Instruction limit reached!
% 1.25/0.53  % (28991)------------------------------
% 1.25/0.53  % (28991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (28991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (28991)Termination reason: Unknown
% 1.25/0.53  % (28991)Termination phase: Unused predicate definition removal
% 1.25/0.53  
% 1.25/0.53  % (28991)Memory used [KB]: 1663
% 1.25/0.53  % (28991)Time elapsed: 0.003 s
% 1.25/0.53  % (28991)Instructions burned: 3 (million)
% 1.25/0.53  % (28991)------------------------------
% 1.25/0.53  % (28991)------------------------------
% 1.25/0.53  % (28985)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)
% 1.25/0.53  % (28992)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)
% 1.25/0.53  % (28979)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)
% 1.25/0.53  % (28979)Instruction limit reached!
% 1.25/0.53  % (28979)------------------------------
% 1.25/0.53  % (28979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (28979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (28979)Termination reason: Unknown
% 1.25/0.53  % (28979)Termination phase: Unused predicate definition removal
% 1.25/0.53  
% 1.25/0.53  % (28979)Memory used [KB]: 1663
% 1.25/0.53  % (28979)Time elapsed: 0.003 s
% 1.25/0.53  % (28979)Instructions burned: 3 (million)
% 1.25/0.53  % (28979)------------------------------
% 1.25/0.53  % (28979)------------------------------
% 1.25/0.53  % (28995)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.25/0.53  % (28992)Instruction limit reached!
% 1.25/0.53  % (28992)------------------------------
% 1.25/0.53  % (28992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (28992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (28992)Termination reason: Unknown
% 1.25/0.53  % (28992)Termination phase: Saturation
% 1.25/0.53  
% 1.25/0.53  % (28992)Memory used [KB]: 1791
% 1.25/0.53  % (28992)Time elapsed: 0.005 s
% 1.25/0.53  % (28992)Instructions burned: 8 (million)
% 1.25/0.53  % (28992)------------------------------
% 1.25/0.53  % (28992)------------------------------
% 1.25/0.53  % (28983)Refutation found. Thanks to Tanya!
% 1.25/0.53  % SZS status Theorem for theBenchmark
% 1.25/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.54  % (28983)------------------------------
% 1.25/0.54  % (28983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.54  % (28983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.54  % (28983)Termination reason: Refutation
% 1.25/0.54  
% 1.25/0.54  % (28983)Memory used [KB]: 6396
% 1.25/0.54  % (28983)Time elapsed: 0.114 s
% 1.25/0.54  % (28983)Instructions burned: 13 (million)
% 1.25/0.54  % (28983)------------------------------
% 1.25/0.54  % (28983)------------------------------
% 1.25/0.54  % (28971)Success in time 0.176 s
%------------------------------------------------------------------------------