TSTP Solution File: MSC007-2.005 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n015.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 : Thu Aug 31 09:27:07 EDT 2023

% Result   : Unsatisfiable 0.22s 0.50s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  359 (  16 unt;   0 def)
%            Number of atoms       : 1265 ( 392 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1536 ( 630   ~; 886   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  21 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-1 aty)
%            Number of variables   :   80 (;  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1264,plain,
    $false,
    inference(avatar_sat_refutation,[],[f80,f110,f138,f166,f194,f213,f216,f219,f233,f262,f296,f307,f327,f345,f361,f376,f424,f447,f499,f502,f522,f535,f549,f573,f613,f665,f670,f678,f733,f767,f770,f777,f822,f864,f867,f886,f908,f947,f988,f1007,f1035,f1054,f1126,f1135,f1203,f1213,f1263]) ).

fof(f1263,plain,
    ( ~ spl0_4
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_4
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1261,f11]) ).

fof(f11,axiom,
    pigeon_1 != pigeon_4,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_1_is_not_pigeon_4) ).

fof(f1261,plain,
    ( pigeon_1 = pigeon_4
    | ~ spl0_4
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1260,f161]) ).

fof(f161,plain,
    ( hole_3 != hole_of(pigeon_4)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl0_15
  <=> hole_3 = hole_of(pigeon_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1260,plain,
    ( hole_3 = hole_of(pigeon_4)
    | pigeon_1 = pigeon_4
    | ~ spl0_4
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1259,f157]) ).

fof(f157,plain,
    ( hole_2 != hole_of(pigeon_4)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl0_14
  <=> hole_2 = hole_of(pigeon_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1259,plain,
    ( hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_1 = pigeon_4
    | ~ spl0_4
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1257,f153]) ).

fof(f153,plain,
    ( hole_1 != hole_of(pigeon_4)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl0_13
  <=> hole_1 = hole_of(pigeon_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1257,plain,
    ( hole_1 = hole_of(pigeon_4)
    | hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_1 = pigeon_4
    | ~ spl0_4 ),
    inference(resolution,[],[f79,f7]) ).

fof(f7,axiom,
    pigeon(pigeon_4),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_4) ).

fof(f79,plain,
    ( ! [X0] :
        ( ~ pigeon(X0)
        | hole_1 = hole_of(X0)
        | hole_2 = hole_of(X0)
        | hole_3 = hole_of(X0)
        | pigeon_1 = X0 )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ pigeon(X0)
        | hole_1 = hole_of(X0)
        | hole_2 = hole_of(X0)
        | hole_3 = hole_of(X0)
        | pigeon_1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1213,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1211,f9]) ).

fof(f9,axiom,
    pigeon_1 != pigeon_2,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_1_is_not_pigeon_2) ).

fof(f1211,plain,
    ( pigeon_1 = pigeon_2
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1210,f5]) ).

fof(f5,axiom,
    pigeon(pigeon_2),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_2) ).

fof(f1210,plain,
    ( ~ pigeon(pigeon_2)
    | pigeon_1 = pigeon_2
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f1174,f481]) ).

fof(f481,plain,
    ( in(pigeon_2,hole_2)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f478,f5]) ).

fof(f478,plain,
    ( in(pigeon_2,hole_2)
    | ~ pigeon(pigeon_2)
    | ~ spl0_6 ),
    inference(superposition,[],[f31,f102]) ).

fof(f102,plain,
    ( hole_2 = hole_of(pigeon_2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl0_6
  <=> hole_2 = hole_of(pigeon_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f31,axiom,
    ! [X0] :
      ( in(X0,hole_of(X0))
      | ~ pigeon(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',each_pigeons_hole2) ).

fof(f1174,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1171,f4]) ).

fof(f4,axiom,
    pigeon(pigeon_1),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_1) ).

fof(f1171,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f72]) ).

fof(f72,plain,
    ( hole_2 = hole_of(pigeon_1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_2
  <=> hole_2 = hole_of(pigeon_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ in(X1,hole_of(X0))
      | ~ pigeon(X1)
      | ~ pigeon(X0)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f42,f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( hole(hole_of(X0))
      | ~ pigeon(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',each_pigeons_hole1) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ pigeon(X0)
      | ~ pigeon(X1)
      | ~ hole(hole_of(X0))
      | ~ in(X1,hole_of(X0))
      | X0 = X1 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ pigeon(X0)
      | ~ pigeon(X1)
      | ~ hole(hole_of(X0))
      | ~ in(X1,hole_of(X0))
      | X0 = X1
      | ~ pigeon(X0) ),
    inference(resolution,[],[f32,f31]) ).

fof(f32,axiom,
    ! [X3,X4,X5] :
      ( ~ in(X5,X3)
      | ~ pigeon(X5)
      | ~ pigeon(X4)
      | ~ hole(X3)
      | ~ in(X4,X3)
      | X4 = X5 ),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',only_one_per_hole) ).

fof(f1203,plain,
    ( spl0_9
    | spl0_10
    | spl0_11
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | spl0_9
    | spl0_10
    | spl0_11
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1143,f133]) ).

fof(f133,plain,
    ( hole_3 != hole_of(pigeon_3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl0_11
  <=> hole_3 = hole_of(pigeon_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1143,plain,
    ( hole_3 = hole_of(pigeon_3)
    | spl0_9
    | spl0_10
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1142,f17]) ).

fof(f17,axiom,
    pigeon_3 != pigeon_5,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_3_is_not_pigeon_5) ).

fof(f1142,plain,
    ( hole_3 = hole_of(pigeon_3)
    | pigeon_3 = pigeon_5
    | spl0_9
    | spl0_10
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1141,f129]) ).

fof(f129,plain,
    ( hole_2 != hole_of(pigeon_3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl0_10
  <=> hole_2 = hole_of(pigeon_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1141,plain,
    ( hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_3 = pigeon_5
    | spl0_9
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1119,f125]) ).

fof(f125,plain,
    ( hole_1 != hole_of(pigeon_3)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl0_9
  <=> hole_1 = hole_of(pigeon_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1119,plain,
    ( hole_1 = hole_of(pigeon_3)
    | hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_3 = pigeon_5
    | ~ spl0_20 ),
    inference(resolution,[],[f193,f6]) ).

fof(f6,axiom,
    pigeon(pigeon_3),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_3) ).

fof(f193,plain,
    ( ! [X4] :
        ( ~ pigeon(X4)
        | hole_1 = hole_of(X4)
        | hole_2 = hole_of(X4)
        | hole_3 = hole_of(X4)
        | pigeon_5 = X4 )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl0_20
  <=> ! [X4] :
        ( ~ pigeon(X4)
        | hole_1 = hole_of(X4)
        | hole_2 = hole_of(X4)
        | hole_3 = hole_of(X4)
        | pigeon_5 = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1135,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1133,f9]) ).

fof(f1133,plain,
    ( pigeon_1 = pigeon_2
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1131,f5]) ).

fof(f1131,plain,
    ( ~ pigeon(pigeon_2)
    | pigeon_1 = pigeon_2
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f117,f1072]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1069,f4]) ).

fof(f1069,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_1 ),
    inference(superposition,[],[f43,f68]) ).

fof(f68,plain,
    ( hole_1 = hole_of(pigeon_1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_1
  <=> hole_1 = hole_of(pigeon_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f117,plain,
    ( in(pigeon_2,hole_1)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f114,f5]) ).

fof(f114,plain,
    ( in(pigeon_2,hole_1)
    | ~ pigeon(pigeon_2)
    | ~ spl0_5 ),
    inference(superposition,[],[f31,f98]) ).

fof(f98,plain,
    ( hole_1 = hole_of(pigeon_2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_5
  <=> hole_1 = hole_of(pigeon_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1126,plain,
    ( ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1125,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1124,f13]) ).

fof(f13,axiom,
    pigeon_2 != pigeon_3,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_2_is_not_pigeon_3) ).

fof(f1124,plain,
    ( pigeon_2 = pigeon_3
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1123,f6]) ).

fof(f1123,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(resolution,[],[f1095,f245]) ).

fof(f245,plain,
    ( in(pigeon_3,hole_3)
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f242,f6]) ).

fof(f242,plain,
    ( in(pigeon_3,hole_3)
    | ~ pigeon(pigeon_3)
    | ~ spl0_11 ),
    inference(superposition,[],[f31,f134]) ).

fof(f134,plain,
    ( hole_3 = hole_of(pigeon_3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f1095,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_2 = X0 )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1092,f5]) ).

fof(f1092,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_2)
        | pigeon_2 = X0 )
    | ~ spl0_7 ),
    inference(superposition,[],[f43,f106]) ).

fof(f106,plain,
    ( hole_3 = hole_of(pigeon_2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl0_7
  <=> hole_3 = hole_of(pigeon_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1054,plain,
    ( ~ spl0_4
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | ~ spl0_4
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(subsumption_resolution,[],[f463,f181]) ).

fof(f181,plain,
    ( hole_1 != hole_of(pigeon_5)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl0_17
  <=> hole_1 = hole_of(pigeon_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f463,plain,
    ( hole_1 = hole_of(pigeon_5)
    | ~ spl0_4
    | spl0_18
    | spl0_19 ),
    inference(subsumption_resolution,[],[f462,f12]) ).

fof(f12,axiom,
    pigeon_1 != pigeon_5,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_1_is_not_pigeon_5) ).

fof(f462,plain,
    ( hole_1 = hole_of(pigeon_5)
    | pigeon_1 = pigeon_5
    | ~ spl0_4
    | spl0_18
    | spl0_19 ),
    inference(subsumption_resolution,[],[f461,f189]) ).

fof(f189,plain,
    ( hole_3 != hole_of(pigeon_5)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl0_19
  <=> hole_3 = hole_of(pigeon_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f461,plain,
    ( hole_1 = hole_of(pigeon_5)
    | hole_3 = hole_of(pigeon_5)
    | pigeon_1 = pigeon_5
    | ~ spl0_4
    | spl0_18 ),
    inference(subsumption_resolution,[],[f419,f185]) ).

fof(f185,plain,
    ( hole_2 != hole_of(pigeon_5)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl0_18
  <=> hole_2 = hole_of(pigeon_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f419,plain,
    ( hole_1 = hole_of(pigeon_5)
    | hole_2 = hole_of(pigeon_5)
    | hole_3 = hole_of(pigeon_5)
    | pigeon_1 = pigeon_5
    | ~ spl0_4 ),
    inference(resolution,[],[f79,f8]) ).

fof(f8,axiom,
    pigeon(pigeon_5),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_5) ).

fof(f1035,plain,
    ( ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1033,f11]) ).

fof(f1033,plain,
    ( pigeon_1 = pigeon_4
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1031,f4]) ).

fof(f1031,plain,
    ( ~ pigeon(pigeon_1)
    | pigeon_1 = pigeon_4
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f982,f634]) ).

fof(f634,plain,
    ( in(pigeon_1,hole_1)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f631,f4]) ).

fof(f631,plain,
    ( in(pigeon_1,hole_1)
    | ~ pigeon(pigeon_1)
    | ~ spl0_1 ),
    inference(superposition,[],[f31,f68]) ).

fof(f982,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_4 = X0 )
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f979,f7]) ).

fof(f979,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_4)
        | pigeon_4 = X0 )
    | ~ spl0_13 ),
    inference(superposition,[],[f43,f154]) ).

fof(f154,plain,
    ( hole_1 = hole_of(pigeon_4)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f1007,plain,
    ( ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1005,f17]) ).

fof(f1005,plain,
    ( pigeon_3 = pigeon_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1004,f8]) ).

fof(f1004,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_3 = pigeon_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(resolution,[],[f975,f411]) ).

fof(f411,plain,
    ( in(pigeon_5,hole_3)
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f408,f8]) ).

fof(f408,plain,
    ( in(pigeon_5,hole_3)
    | ~ pigeon(pigeon_5)
    | ~ spl0_19 ),
    inference(superposition,[],[f31,f190]) ).

fof(f190,plain,
    ( hole_3 = hole_of(pigeon_5)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f975,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_3 = X0 )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f972,f6]) ).

fof(f972,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_3)
        | pigeon_3 = X0 )
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f134]) ).

fof(f988,plain,
    ( ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f987,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f986,f18]) ).

fof(f18,axiom,
    pigeon_4 != pigeon_5,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_4_is_not_pigeon_5) ).

fof(f986,plain,
    ( pigeon_4 = pigeon_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f984,f7]) ).

fof(f984,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_4 = pigeon_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(resolution,[],[f940,f173]) ).

fof(f173,plain,
    ( in(pigeon_4,hole_1)
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f170,f7]) ).

fof(f170,plain,
    ( in(pigeon_4,hole_1)
    | ~ pigeon(pigeon_4)
    | ~ spl0_13 ),
    inference(superposition,[],[f31,f154]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_5 = X0 )
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f937,f8]) ).

fof(f937,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_5)
        | pigeon_5 = X0 )
    | ~ spl0_17 ),
    inference(superposition,[],[f43,f182]) ).

fof(f182,plain,
    ( hole_1 = hole_of(pigeon_5)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f947,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f946,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f945,f12]) ).

fof(f945,plain,
    ( pigeon_1 = pigeon_5
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f944,f8]) ).

fof(f944,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_1 = pigeon_5
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(resolution,[],[f902,f201]) ).

fof(f201,plain,
    ( in(pigeon_5,hole_1)
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f198,f8]) ).

fof(f198,plain,
    ( in(pigeon_5,hole_1)
    | ~ pigeon(pigeon_5)
    | ~ spl0_17 ),
    inference(superposition,[],[f31,f182]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f899,f4]) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_1 ),
    inference(superposition,[],[f43,f68]) ).

fof(f908,plain,
    ( ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f907]) ).

fof(f907,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f906,f16]) ).

fof(f16,axiom,
    pigeon_3 != pigeon_4,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_3_is_not_pigeon_4) ).

fof(f906,plain,
    ( pigeon_3 = pigeon_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f904,f6]) ).

fof(f904,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_3 = pigeon_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f245,f820]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_4 = X0 )
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f817,f7]) ).

fof(f817,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_4)
        | pigeon_4 = X0 )
    | ~ spl0_15 ),
    inference(superposition,[],[f43,f162]) ).

fof(f162,plain,
    ( hole_3 = hole_of(pigeon_4)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f886,plain,
    ( ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f884,f18]) ).

fof(f884,plain,
    ( pigeon_4 = pigeon_5
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f883,f8]) ).

fof(f883,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_4 = pigeon_5
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f820,f411]) ).

fof(f867,plain,
    ( ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f866,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f865,f15]) ).

fof(f15,axiom,
    pigeon_2 != pigeon_5,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_2_is_not_pigeon_5) ).

fof(f865,plain,
    ( pigeon_2 = pigeon_5
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f861,f8]) ).

fof(f861,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_2 = pigeon_5
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(resolution,[],[f802,f411]) ).

fof(f802,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_2 = X0 )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f799,f5]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_2)
        | pigeon_2 = X0 )
    | ~ spl0_7 ),
    inference(superposition,[],[f43,f106]) ).

fof(f864,plain,
    ( ~ spl0_7
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f863]) ).

fof(f863,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f862,f14]) ).

fof(f14,axiom,
    pigeon_2 != pigeon_4,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_2_is_not_pigeon_4) ).

fof(f862,plain,
    ( pigeon_2 = pigeon_4
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f860,f7]) ).

fof(f860,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_2 = pigeon_4
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(resolution,[],[f802,f319]) ).

fof(f319,plain,
    ( in(pigeon_4,hole_3)
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f316,f7]) ).

fof(f316,plain,
    ( in(pigeon_4,hole_3)
    | ~ pigeon(pigeon_4)
    | ~ spl0_15 ),
    inference(superposition,[],[f31,f162]) ).

fof(f822,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f586,f75]) ).

fof(f75,plain,
    ( hole_3 != hole_of(pigeon_1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_3
  <=> hole_3 = hole_of(pigeon_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f586,plain,
    ( hole_3 = hole_of(pigeon_1)
    | spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f585,f9]) ).

fof(f585,plain,
    ( hole_3 = hole_of(pigeon_1)
    | pigeon_1 = pigeon_2
    | spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f584,f71]) ).

fof(f71,plain,
    ( hole_2 != hole_of(pigeon_1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f584,plain,
    ( hole_2 = hole_of(pigeon_1)
    | hole_3 = hole_of(pigeon_1)
    | pigeon_1 = pigeon_2
    | spl0_1
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f574,f67]) ).

fof(f67,plain,
    ( hole_1 != hole_of(pigeon_1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f574,plain,
    ( hole_1 = hole_of(pigeon_1)
    | hole_2 = hole_of(pigeon_1)
    | hole_3 = hole_of(pigeon_1)
    | pigeon_1 = pigeon_2
    | ~ spl0_8 ),
    inference(resolution,[],[f109,f4]) ).

fof(f109,plain,
    ( ! [X1] :
        ( ~ pigeon(X1)
        | hole_1 = hole_of(X1)
        | hole_2 = hole_of(X1)
        | hole_3 = hole_of(X1)
        | pigeon_2 = X1 )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl0_8
  <=> ! [X1] :
        ( ~ pigeon(X1)
        | hole_1 = hole_of(X1)
        | hole_2 = hole_of(X1)
        | hole_3 = hole_of(X1)
        | pigeon_2 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f777,plain,
    ( ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f776]) ).

fof(f776,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f775,f17]) ).

fof(f775,plain,
    ( pigeon_3 = pigeon_5
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f773,f6]) ).

fof(f773,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_3 = pigeon_5
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(resolution,[],[f724,f228]) ).

fof(f228,plain,
    ( in(pigeon_3,hole_2)
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f225,f6]) ).

fof(f225,plain,
    ( in(pigeon_3,hole_2)
    | ~ pigeon(pigeon_3)
    | ~ spl0_10 ),
    inference(superposition,[],[f31,f130]) ).

fof(f130,plain,
    ( hole_2 = hole_of(pigeon_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f724,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_5 = X0 )
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f721,f8]) ).

fof(f721,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_5)
        | pigeon_5 = X0 )
    | ~ spl0_18 ),
    inference(superposition,[],[f43,f186]) ).

fof(f186,plain,
    ( hole_2 = hole_of(pigeon_5)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f770,plain,
    ( ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f768,f15]) ).

fof(f768,plain,
    ( pigeon_2 = pigeon_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f764,f8]) ).

fof(f764,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_2 = pigeon_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(resolution,[],[f714,f287]) ).

fof(f287,plain,
    ( in(pigeon_5,hole_2)
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f284,f8]) ).

fof(f284,plain,
    ( in(pigeon_5,hole_2)
    | ~ pigeon(pigeon_5)
    | ~ spl0_18 ),
    inference(superposition,[],[f31,f186]) ).

fof(f714,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_2 = X0 )
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f711,f5]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_2)
        | pigeon_2 = X0 )
    | ~ spl0_6 ),
    inference(superposition,[],[f43,f102]) ).

fof(f767,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f765,f13]) ).

fof(f765,plain,
    ( pigeon_2 = pigeon_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f763,f6]) ).

fof(f763,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(resolution,[],[f714,f228]) ).

fof(f733,plain,
    ( ~ spl0_8
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f732]) ).

fof(f732,plain,
    ( $false
    | ~ spl0_8
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f731,f161]) ).

fof(f731,plain,
    ( hole_3 = hole_of(pigeon_4)
    | ~ spl0_8
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f605,f157]) ).

fof(f605,plain,
    ( hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | ~ spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f604,f14]) ).

fof(f604,plain,
    ( hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_2 = pigeon_4
    | ~ spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f577,f153]) ).

fof(f577,plain,
    ( hole_1 = hole_of(pigeon_4)
    | hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_2 = pigeon_4
    | ~ spl0_8 ),
    inference(resolution,[],[f109,f7]) ).

fof(f678,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f677,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f676,f16]) ).

fof(f676,plain,
    ( pigeon_3 = pigeon_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f674,f7]) ).

fof(f674,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_3 = pigeon_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f173,f568]) ).

fof(f568,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_3 = X0 )
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f565,f6]) ).

fof(f565,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_3)
        | pigeon_3 = X0 )
    | ~ spl0_9 ),
    inference(superposition,[],[f43,f126]) ).

fof(f126,plain,
    ( hole_1 = hole_of(pigeon_3)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f670,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f669,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f668,f10]) ).

fof(f10,axiom,
    pigeon_1 != pigeon_3,
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',pigeon_1_is_not_pigeon_3) ).

fof(f668,plain,
    ( pigeon_1 = pigeon_3
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f666,f4]) ).

fof(f666,plain,
    ( ~ pigeon(pigeon_1)
    | pigeon_1 = pigeon_3
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(resolution,[],[f568,f634]) ).

fof(f665,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f664]) ).

fof(f664,plain,
    ( $false
    | spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f663,f15]) ).

fof(f663,plain,
    ( pigeon_2 = pigeon_5
    | spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f662,f105]) ).

fof(f105,plain,
    ( hole_3 != hole_of(pigeon_2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f662,plain,
    ( hole_3 = hole_of(pigeon_2)
    | pigeon_2 = pigeon_5
    | spl0_5
    | spl0_6
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f661,f101]) ).

fof(f101,plain,
    ( hole_2 != hole_of(pigeon_2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f661,plain,
    ( hole_2 = hole_of(pigeon_2)
    | hole_3 = hole_of(pigeon_2)
    | pigeon_2 = pigeon_5
    | spl0_5
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f657,f97]) ).

fof(f97,plain,
    ( hole_1 != hole_of(pigeon_2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f657,plain,
    ( hole_1 = hole_of(pigeon_2)
    | hole_2 = hole_of(pigeon_2)
    | hole_3 = hole_of(pigeon_2)
    | pigeon_2 = pigeon_5
    | ~ spl0_20 ),
    inference(resolution,[],[f193,f5]) ).

fof(f613,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f611,f105]) ).

fof(f611,plain,
    ( hole_3 = hole_of(pigeon_2)
    | spl0_5
    | spl0_6
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f610,f101]) ).

fof(f610,plain,
    ( hole_2 = hole_of(pigeon_2)
    | hole_3 = hole_of(pigeon_2)
    | spl0_5
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f458,f97]) ).

fof(f458,plain,
    ( hole_1 = hole_of(pigeon_2)
    | hole_2 = hole_of(pigeon_2)
    | hole_3 = hole_of(pigeon_2)
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f439,f14]) ).

fof(f439,plain,
    ( hole_1 = hole_of(pigeon_2)
    | hole_2 = hole_of(pigeon_2)
    | hole_3 = hole_of(pigeon_2)
    | pigeon_2 = pigeon_4
    | ~ spl0_16 ),
    inference(resolution,[],[f165,f5]) ).

fof(f165,plain,
    ( ! [X3] :
        ( ~ pigeon(X3)
        | hole_1 = hole_of(X3)
        | hole_2 = hole_of(X3)
        | hole_3 = hole_of(X3)
        | pigeon_4 = X3 )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl0_16
  <=> ! [X3] :
        ( ~ pigeon(X3)
        | hole_1 = hole_of(X3)
        | hole_2 = hole_of(X3)
        | hole_3 = hole_of(X3)
        | pigeon_4 = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f573,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(subsumption_resolution,[],[f451,f189]) ).

fof(f451,plain,
    ( hole_3 = hole_of(pigeon_5)
    | ~ spl0_16
    | spl0_17
    | spl0_18 ),
    inference(subsumption_resolution,[],[f450,f18]) ).

fof(f450,plain,
    ( hole_3 = hole_of(pigeon_5)
    | pigeon_4 = pigeon_5
    | ~ spl0_16
    | spl0_17
    | spl0_18 ),
    inference(subsumption_resolution,[],[f449,f185]) ).

fof(f449,plain,
    ( hole_2 = hole_of(pigeon_5)
    | hole_3 = hole_of(pigeon_5)
    | pigeon_4 = pigeon_5
    | ~ spl0_16
    | spl0_17 ),
    inference(subsumption_resolution,[],[f442,f181]) ).

fof(f442,plain,
    ( hole_1 = hole_of(pigeon_5)
    | hole_2 = hole_of(pigeon_5)
    | hole_3 = hole_of(pigeon_5)
    | pigeon_4 = pigeon_5
    | ~ spl0_16 ),
    inference(resolution,[],[f165,f8]) ).

fof(f549,plain,
    ( ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f547,f9]) ).

fof(f547,plain,
    ( pigeon_1 = pigeon_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f545,f5]) ).

fof(f545,plain,
    ( ~ pigeon(pigeon_2)
    | pigeon_1 = pigeon_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(resolution,[],[f544,f386]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f383,f4]) ).

fof(f383,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_3 ),
    inference(superposition,[],[f43,f76]) ).

fof(f76,plain,
    ( hole_3 = hole_of(pigeon_1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f544,plain,
    ( in(pigeon_2,hole_3)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f541,f5]) ).

fof(f541,plain,
    ( in(pigeon_2,hole_3)
    | ~ pigeon(pigeon_2)
    | ~ spl0_7 ),
    inference(superposition,[],[f31,f106]) ).

fof(f535,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f533,f13]) ).

fof(f533,plain,
    ( pigeon_2 = pigeon_3
    | ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f532,f133]) ).

fof(f532,plain,
    ( hole_3 = hole_of(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f531,f129]) ).

fof(f531,plain,
    ( hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f528,f125]) ).

fof(f528,plain,
    ( hole_1 = hole_of(pigeon_3)
    | hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_8 ),
    inference(resolution,[],[f109,f6]) ).

fof(f522,plain,
    ( ~ spl0_9
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f520,f17]) ).

fof(f520,plain,
    ( pigeon_3 = pigeon_5
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f518,f6]) ).

fof(f518,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_3 = pigeon_5
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(resolution,[],[f493,f145]) ).

fof(f145,plain,
    ( in(pigeon_3,hole_1)
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f142,f6]) ).

fof(f142,plain,
    ( in(pigeon_3,hole_1)
    | ~ pigeon(pigeon_3)
    | ~ spl0_9 ),
    inference(superposition,[],[f31,f126]) ).

fof(f493,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_5 = X0 )
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f490,f8]) ).

fof(f490,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_5)
        | pigeon_5 = X0 )
    | ~ spl0_17 ),
    inference(superposition,[],[f43,f182]) ).

fof(f502,plain,
    ( ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f501]) ).

fof(f501,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f500,f16]) ).

fof(f500,plain,
    ( pigeon_3 = pigeon_4
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f495,f6]) ).

fof(f495,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_3 = pigeon_4
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(resolution,[],[f400,f228]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_4 = X0 )
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f397,f7]) ).

fof(f397,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_4)
        | pigeon_4 = X0 )
    | ~ spl0_14 ),
    inference(superposition,[],[f43,f158]) ).

fof(f158,plain,
    ( hole_2 = hole_of(pigeon_4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f499,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f498]) ).

fof(f498,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f497,f14]) ).

fof(f497,plain,
    ( pigeon_2 = pigeon_4
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f494,f5]) ).

fof(f494,plain,
    ( ~ pigeon(pigeon_2)
    | pigeon_2 = pigeon_4
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f400,f481]) ).

fof(f447,plain,
    ( ~ spl0_3
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f446]) ).

fof(f446,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f445,f12]) ).

fof(f445,plain,
    ( pigeon_1 = pigeon_5
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f444,f8]) ).

fof(f444,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_1 = pigeon_5
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(resolution,[],[f386,f411]) ).

fof(f424,plain,
    ( ~ spl0_4
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f423,plain,
    ( $false
    | ~ spl0_4
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f422,f10]) ).

fof(f422,plain,
    ( pigeon_1 = pigeon_3
    | ~ spl0_4
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f421,f133]) ).

fof(f421,plain,
    ( hole_3 = hole_of(pigeon_3)
    | pigeon_1 = pigeon_3
    | ~ spl0_4
    | spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f420,f129]) ).

fof(f420,plain,
    ( hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_1 = pigeon_3
    | ~ spl0_4
    | spl0_9 ),
    inference(subsumption_resolution,[],[f417,f125]) ).

fof(f417,plain,
    ( hole_1 = hole_of(pigeon_3)
    | hole_2 = hole_of(pigeon_3)
    | hole_3 = hole_of(pigeon_3)
    | pigeon_1 = pigeon_3
    | ~ spl0_4 ),
    inference(resolution,[],[f79,f6]) ).

fof(f376,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f375,plain,
    ( $false
    | spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f374,f75]) ).

fof(f374,plain,
    ( hole_3 = hole_of(pigeon_1)
    | spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f329,f71]) ).

fof(f329,plain,
    ( hole_2 = hole_of(pigeon_1)
    | hole_3 = hole_of(pigeon_1)
    | spl0_1
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f328,f10]) ).

fof(f328,plain,
    ( hole_2 = hole_of(pigeon_1)
    | hole_3 = hole_of(pigeon_1)
    | pigeon_1 = pigeon_3
    | spl0_1
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f298,f67]) ).

fof(f298,plain,
    ( hole_1 = hole_of(pigeon_1)
    | hole_2 = hole_of(pigeon_1)
    | hole_3 = hole_of(pigeon_1)
    | pigeon_1 = pigeon_3
    | ~ spl0_12 ),
    inference(resolution,[],[f137,f4]) ).

fof(f137,plain,
    ( ! [X2] :
        ( ~ pigeon(X2)
        | hole_1 = hole_of(X2)
        | hole_2 = hole_of(X2)
        | hole_3 = hole_of(X2)
        | pigeon_3 = X2 )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_12
  <=> ! [X2] :
        ( ~ pigeon(X2)
        | hole_1 = hole_of(X2)
        | hole_2 = hole_of(X2)
        | hole_3 = hole_of(X2)
        | pigeon_3 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f361,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f359,f161]) ).

fof(f359,plain,
    ( hole_3 = hole_of(pigeon_4)
    | ~ spl0_12
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f309,f157]) ).

fof(f309,plain,
    ( hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f308,f16]) ).

fof(f308,plain,
    ( hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_3 = pigeon_4
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f301,f153]) ).

fof(f301,plain,
    ( hole_1 = hole_of(pigeon_4)
    | hole_2 = hole_of(pigeon_4)
    | hole_3 = hole_of(pigeon_4)
    | pigeon_3 = pigeon_4
    | ~ spl0_12 ),
    inference(resolution,[],[f137,f7]) ).

fof(f345,plain,
    ( ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f343,f12]) ).

fof(f343,plain,
    ( pigeon_1 = pigeon_5
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f341,f4]) ).

fof(f341,plain,
    ( ~ pigeon(pigeon_1)
    | pigeon_1 = pigeon_5
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(resolution,[],[f286,f89]) ).

fof(f89,plain,
    ( in(pigeon_1,hole_2)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f86,f4]) ).

fof(f86,plain,
    ( in(pigeon_1,hole_2)
    | ~ pigeon(pigeon_1)
    | ~ spl0_2 ),
    inference(superposition,[],[f31,f72]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_5 = X0 )
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f283,f8]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_5)
        | pigeon_5 = X0 )
    | ~ spl0_18 ),
    inference(superposition,[],[f43,f186]) ).

fof(f327,plain,
    ( ~ spl0_3
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f325,f11]) ).

fof(f325,plain,
    ( pigeon_1 = pigeon_4
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f324,f7]) ).

fof(f324,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_1 = pigeon_4
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(resolution,[],[f273,f319]) ).

fof(f273,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f270,f4]) ).

fof(f270,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_3 ),
    inference(superposition,[],[f43,f76]) ).

fof(f307,plain,
    ( ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f305,f18]) ).

fof(f305,plain,
    ( pigeon_4 = pigeon_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f304,f8]) ).

fof(f304,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_4 = pigeon_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f256,f287]) ).

fof(f256,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_4 = X0 )
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f253,f7]) ).

fof(f253,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_4)
        | pigeon_4 = X0 )
    | ~ spl0_14 ),
    inference(superposition,[],[f43,f158]) ).

fof(f296,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f294,f10]) ).

fof(f294,plain,
    ( pigeon_1 = pigeon_3
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f292,f4]) ).

fof(f292,plain,
    ( ~ pigeon(pigeon_1)
    | pigeon_1 = pigeon_3
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(resolution,[],[f244,f274]) ).

fof(f274,plain,
    ( in(pigeon_1,hole_3)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f271,f4]) ).

fof(f271,plain,
    ( in(pigeon_1,hole_3)
    | ~ pigeon(pigeon_1)
    | ~ spl0_3 ),
    inference(superposition,[],[f31,f76]) ).

fof(f244,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | pigeon_3 = X0 )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f241,f6]) ).

fof(f241,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_3)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_3)
        | pigeon_3 = X0 )
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f134]) ).

fof(f262,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f261]) ).

fof(f261,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f260,f11]) ).

fof(f260,plain,
    ( pigeon_1 = pigeon_4
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f258,f7]) ).

fof(f258,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_1 = pigeon_4
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f257,f88]) ).

fof(f88,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | pigeon_1 = X0 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f85,f4]) ).

fof(f85,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_2)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_1)
        | pigeon_1 = X0 )
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f72]) ).

fof(f257,plain,
    ( in(pigeon_4,hole_2)
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f254,f7]) ).

fof(f254,plain,
    ( in(pigeon_4,hole_2)
    | ~ pigeon(pigeon_4)
    | ~ spl0_14 ),
    inference(superposition,[],[f31,f158]) ).

fof(f233,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f231,f10]) ).

fof(f231,plain,
    ( pigeon_1 = pigeon_3
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f229,f6]) ).

fof(f229,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_1 = pigeon_3
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(resolution,[],[f228,f88]) ).

fof(f219,plain,
    ( ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f218,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f217,f15]) ).

fof(f217,plain,
    ( pigeon_2 = pigeon_5
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f210,f8]) ).

fof(f210,plain,
    ( ~ pigeon(pigeon_5)
    | pigeon_2 = pigeon_5
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f116,f201]) ).

fof(f116,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | pigeon_2 = X0 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f113,f5]) ).

fof(f113,plain,
    ( ! [X0] :
        ( ~ in(X0,hole_1)
        | ~ pigeon(X0)
        | ~ pigeon(pigeon_2)
        | pigeon_2 = X0 )
    | ~ spl0_5 ),
    inference(superposition,[],[f43,f98]) ).

fof(f216,plain,
    ( ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f215]) ).

fof(f215,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f214,f14]) ).

fof(f214,plain,
    ( pigeon_2 = pigeon_4
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f209,f7]) ).

fof(f209,plain,
    ( ~ pigeon(pigeon_4)
    | pigeon_2 = pigeon_4
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(resolution,[],[f116,f173]) ).

fof(f213,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f211,f13]) ).

fof(f211,plain,
    ( pigeon_2 = pigeon_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f208,f6]) ).

fof(f208,plain,
    ( ~ pigeon(pigeon_3)
    | pigeon_2 = pigeon_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f116,f145]) ).

fof(f194,plain,
    ( spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f64,f192,f188,f184,f180]) ).

fof(f64,plain,
    ! [X4] :
      ( ~ pigeon(X4)
      | pigeon_5 = X4
      | hole_3 = hole_of(X4)
      | hole_2 = hole_of(X4)
      | hole_1 = hole_of(X4)
      | hole_3 = hole_of(pigeon_5)
      | hole_2 = hole_of(pigeon_5)
      | hole_1 = hole_of(pigeon_5) ),
    inference(resolution,[],[f59,f8]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ pigeon(X0)
      | ~ pigeon(X1)
      | X0 = X1
      | hole_3 = hole_of(X1)
      | hole_2 = hole_of(X1)
      | hole_1 = hole_of(X1)
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ pigeon(X0)
      | ~ pigeon(X1)
      | X0 = X1
      | hole_3 = hole_of(X1)
      | hole_2 = hole_of(X1)
      | hole_1 = hole_of(X1)
      | ~ pigeon(X0)
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0) ),
    inference(resolution,[],[f54,f53]) ).

fof(f53,plain,
    ! [X2] :
      ( in(X2,hole_4)
      | ~ pigeon(X2)
      | hole_3 = hole_of(X2)
      | hole_2 = hole_of(X2)
      | hole_1 = hole_of(X2) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f47,plain,
    ! [X2] :
      ( in(X2,hole_4)
      | ~ pigeon(X2)
      | hole_3 = hole_of(X2)
      | hole_2 = hole_of(X2)
      | hole_1 = hole_of(X2)
      | ~ pigeon(X2) ),
    inference(superposition,[],[f31,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( hole_4 = hole_of(X0)
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0)
      | ~ pigeon(X0) ),
    inference(resolution,[],[f29,f30]) ).

fof(f29,axiom,
    ! [X3] :
      ( ~ hole(X3)
      | hole_4 = X3
      | hole_3 = X3
      | hole_2 = X3
      | hole_1 = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898',all_holes) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ in(X1,hole_4)
      | ~ pigeon(X1)
      | ~ pigeon(X0)
      | X0 = X1
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ in(X1,hole_4)
      | ~ pigeon(X1)
      | ~ pigeon(X0)
      | X0 = X1
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0)
      | ~ pigeon(X0) ),
    inference(superposition,[],[f43,f40]) ).

fof(f166,plain,
    ( spl0_13
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f63,f164,f160,f156,f152]) ).

fof(f63,plain,
    ! [X3] :
      ( ~ pigeon(X3)
      | pigeon_4 = X3
      | hole_3 = hole_of(X3)
      | hole_2 = hole_of(X3)
      | hole_1 = hole_of(X3)
      | hole_3 = hole_of(pigeon_4)
      | hole_2 = hole_of(pigeon_4)
      | hole_1 = hole_of(pigeon_4) ),
    inference(resolution,[],[f59,f7]) ).

fof(f138,plain,
    ( spl0_9
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f62,f136,f132,f128,f124]) ).

fof(f62,plain,
    ! [X2] :
      ( ~ pigeon(X2)
      | pigeon_3 = X2
      | hole_3 = hole_of(X2)
      | hole_2 = hole_of(X2)
      | hole_1 = hole_of(X2)
      | hole_3 = hole_of(pigeon_3)
      | hole_2 = hole_of(pigeon_3)
      | hole_1 = hole_of(pigeon_3) ),
    inference(resolution,[],[f59,f6]) ).

fof(f110,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f61,f108,f104,f100,f96]) ).

fof(f61,plain,
    ! [X1] :
      ( ~ pigeon(X1)
      | pigeon_2 = X1
      | hole_3 = hole_of(X1)
      | hole_2 = hole_of(X1)
      | hole_1 = hole_of(X1)
      | hole_3 = hole_of(pigeon_2)
      | hole_2 = hole_of(pigeon_2)
      | hole_1 = hole_of(pigeon_2) ),
    inference(resolution,[],[f59,f5]) ).

fof(f80,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f60,f78,f74,f70,f66]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ pigeon(X0)
      | pigeon_1 = X0
      | hole_3 = hole_of(X0)
      | hole_2 = hole_of(X0)
      | hole_1 = hole_of(X0)
      | hole_3 = hole_of(pigeon_1)
      | hole_2 = hole_of(pigeon_1)
      | hole_1 = hole_of(pigeon_1) ),
    inference(resolution,[],[f59,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Aug 24 13:55:36 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.WW9txfkFYc/Vampire---4.8_20898
% 0.22/0.36  % (21081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (21084)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.44  % (21083)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.44  % (21087)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.44  % (21085)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.44  % (21088)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.44  % (21082)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.44  % (21086)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.44  % (21085)Refutation not found, incomplete strategy% (21085)------------------------------
% 0.22/0.44  % (21085)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (21085)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (21085)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44  
% 0.22/0.44  % (21085)Memory used [KB]: 9978
% 0.22/0.44  % (21085)Time elapsed: 0.006 s
% 0.22/0.44  % (21085)------------------------------
% 0.22/0.44  % (21085)------------------------------
% 0.22/0.49  % (21084)Refutation not found, incomplete strategy% (21084)------------------------------
% 0.22/0.49  % (21084)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49  % (21084)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49  % (21084)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49  
% 0.22/0.49  % (21084)Memory used [KB]: 1023
% 0.22/0.49  % (21084)Time elapsed: 0.054 s
% 0.22/0.49  % (21084)------------------------------
% 0.22/0.49  % (21084)------------------------------
% 0.22/0.49  % (21087)First to succeed.
% 0.22/0.50  % (21087)Refutation found. Thanks to Tanya!
% 0.22/0.50  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.50  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51  % (21087)------------------------------
% 0.22/0.51  % (21087)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51  % (21087)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51  % (21087)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (21087)Memory used [KB]: 5756
% 0.22/0.51  % (21087)Time elapsed: 0.057 s
% 0.22/0.51  % (21087)------------------------------
% 0.22/0.51  % (21087)------------------------------
% 0.22/0.51  % (21081)Success in time 0.136 s
% 0.22/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------