TSTP Solution File: GEO169+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:12:04 EDT 2022

% Result   : Theorem 2.99s 0.92s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  215
% Syntax   : Number of formulae    :  942 (  80 unt;   0 def)
%            Number of atoms       : 2451 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 2698 (1189   ~;1294   |;  25   &)
%                                         ( 165 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  170 ( 169 usr; 167 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :  332 ( 332   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7304,plain,
    $false,
    inference(avatar_sat_refutation,[],[f155,f160,f164,f177,f182,f183,f188,f193,f202,f206,f211,f212,f217,f218,f223,f371,f380,f389,f401,f410,f434,f447,f461,f493,f495,f540,f561,f576,f599,f608,f616,f643,f693,f711,f726,f731,f788,f796,f813,f827,f841,f898,f906,f920,f947,f1000,f1020,f1043,f1057,f1079,f1095,f1113,f1143,f1153,f1221,f1222,f1223,f1233,f1317,f1355,f1381,f1402,f1418,f1431,f1432,f1439,f1440,f1459,f1506,f1527,f1576,f1618,f1672,f1703,f1729,f1734,f1738,f1750,f1817,f1826,f1828,f1859,f1861,f1913,f1935,f1936,f1948,f1955,f1966,f1983,f2020,f2032,f2084,f2137,f2144,f2153,f2237,f2334,f2354,f2366,f2393,f2409,f2442,f2588,f2614,f2673,f2674,f2679,f2805,f2811,f2815,f2863,f2914,f2950,f2958,f2982,f2989,f2995,f2996,f3109,f3121,f3122,f3124,f3127,f3185,f3190,f3194,f3202,f3219,f3334,f3354,f3361,f3401,f3428,f3430,f3431,f3432,f3472,f3523,f3550,f3551,f3568,f3621,f3643,f3721,f3760,f3861,f3917,f3950,f3952,f3985,f4001,f4008,f4009,f4069,f4100,f4101,f4103,f4104,f4109,f4111,f4113,f4116,f4117,f4130,f4227,f4239,f4276,f4303,f4311,f4317,f4504,f4567,f4598,f4611,f4627,f4632,f4868,f4904,f4913,f4914,f4916,f4920,f5136,f5340,f5341,f5379,f5382,f5455,f5480,f5542,f5543,f5610,f5702,f5766,f5843,f5861,f5862,f5863,f5980,f6020,f6035,f6132,f6308,f6310,f6312,f6324,f6432,f6438,f6441,f6445,f6488,f6543,f6544,f6750,f6887,f7263,f7277,f7303]) ).

fof(f7303,plain,
    spl0_442,
    inference(avatar_contradiction_clause,[],[f7302]) ).

fof(f7302,plain,
    ( $false
    | spl0_442 ),
    inference(resolution,[],[f7276,f249]) ).

fof(f249,plain,
    line_equal(a2c2,a2c2),
    inference(resolution,[],[f129,f125]) ).

fof(f125,plain,
    incident(c2,a2c2),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    incident(c2,a2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2a2) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ incident(X0,X1)
      | line_equal(X1,X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ incident(X0,X1)
      | line_equal(X1,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X1,X0] :
      ( incident(X0,X1)
     => line_equal(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).

fof(f7276,plain,
    ( ~ line_equal(a2c2,a2c2)
    | spl0_442 ),
    inference(avatar_component_clause,[],[f7274]) ).

fof(f7274,plain,
    ( spl0_442
  <=> line_equal(a2c2,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f7277,plain,
    ( ~ spl0_407
    | ~ spl0_442
    | ~ spl0_168
    | ~ spl0_4
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f7267,f1597,f162,f1606,f7274,f5835]) ).

fof(f5835,plain,
    ( spl0_407
  <=> incident(ac,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f1606,plain,
    ( spl0_168
  <=> incident(bc,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f162,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ incident(ac,X0)
        | ~ incident(ab,X0)
        | ~ incident(bc,X0)
        | ~ line_equal(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1597,plain,
    ( spl0_167
  <=> incident(ab,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f7267,plain,
    ( ~ incident(bc,a2c2)
    | ~ line_equal(a2c2,a2c2)
    | ~ incident(ac,a2c2)
    | ~ spl0_4
    | ~ spl0_167 ),
    inference(resolution,[],[f1598,f163]) ).

fof(f163,plain,
    ( ! [X0] :
        ( ~ incident(ab,X0)
        | ~ incident(bc,X0)
        | ~ line_equal(X0,X0)
        | ~ incident(ac,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f1598,plain,
    ( incident(ab,a2c2)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f7263,plain,
    ( spl0_167
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f7255,f3187,f1597]) ).

fof(f3187,plain,
    ( spl0_291
  <=> point_equal(ab,a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f7255,plain,
    ( incident(ab,a2c2)
    | ~ spl0_291 ),
    inference(resolution,[],[f6978,f105]) ).

fof(f105,plain,
    incident(a2,a2c2),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    incident(a2,a2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2c2) ).

fof(f6978,plain,
    ( ! [X1] :
        ( ~ incident(a2,X1)
        | incident(ab,X1) )
    | ~ spl0_291 ),
    inference(resolution,[],[f3189,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ point_equal(X2,X0)
      | ~ incident(X0,X1)
      | incident(X2,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ~ incident(X0,X1)
      | incident(X2,X1)
      | ~ point_equal(X2,X0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0,X2] :
      ( ~ incident(X1,X0)
      | incident(X2,X0)
      | ~ point_equal(X2,X1) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( incident(X2,X0)
      | ~ point_equal(X2,X1)
      | ~ incident(X1,X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ( point_equal(X2,X1)
        & incident(X1,X0) )
     => incident(X2,X0) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X2,X1,X0] :
      ( ( point_equal(X0,X1)
        & incident(X1,X2) )
     => incident(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).

fof(f3189,plain,
    ( point_equal(ab,a2)
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f3187]) ).

fof(f6887,plain,
    ( spl0_205
    | ~ spl0_313
    | ~ spl0_45
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f6878,f2179,f597,f3573,f2017]) ).

fof(f2017,plain,
    ( spl0_205
  <=> point_equal(a1,b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f3573,plain,
    ( spl0_313
  <=> incident(b1,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f597,plain,
    ( spl0_45
  <=> ! [X1] :
        ( ~ incident(X1,a1b1)
        | point_equal(a1,X1)
        | ~ incident(X1,oa) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2179,plain,
    ( spl0_221
  <=> incident(b1,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f6878,plain,
    ( ~ incident(b1,a1b1)
    | point_equal(a1,b1)
    | ~ spl0_45
    | ~ spl0_221 ),
    inference(resolution,[],[f2180,f598]) ).

fof(f598,plain,
    ( ! [X1] :
        ( ~ incident(X1,oa)
        | point_equal(a1,X1)
        | ~ incident(X1,a1b1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2180,plain,
    ( incident(b1,oa)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f2179]) ).

fof(f6750,plain,
    ( ~ spl0_193
    | ~ spl0_199
    | ~ spl0_13
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f6733,f1661,f204,f1915,f1850]) ).

fof(f1850,plain,
    ( spl0_193
  <=> incident(a2,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f1915,plain,
    ( spl0_199
  <=> incident(b2,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f204,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ incident(a2,X0)
        | ~ incident(c2,X0)
        | ~ incident(b2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1661,plain,
    ( spl0_176
  <=> incident(c2,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f6733,plain,
    ( ~ incident(b2,a2b2)
    | ~ incident(a2,a2b2)
    | ~ spl0_13
    | ~ spl0_176 ),
    inference(resolution,[],[f1662,f205]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ incident(c2,X0)
        | ~ incident(a2,X0)
        | ~ incident(b2,X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f1662,plain,
    ( incident(c2,a2b2)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1661]) ).

fof(f6544,plain,
    ( spl0_71
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f6090,f880,f751]) ).

fof(f751,plain,
    ( spl0_71
  <=> line_equal(a1c1,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f880,plain,
    ( spl0_90
  <=> line_equal(a2b2,a1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f6090,plain,
    ( line_equal(a1c1,a2b2)
    | ~ spl0_90 ),
    inference(resolution,[],[f882,f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ line_equal(X1,X0)
      | line_equal(X0,X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( line_equal(X0,X1)
      | ~ line_equal(X1,X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( line_equal(X1,X0)
     => line_equal(X0,X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X1,X0] :
      ( line_equal(X0,X1)
     => line_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).

fof(f882,plain,
    ( line_equal(a2b2,a1c1)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f6543,plain,
    ( spl0_57
    | spl0_56
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f6451,f174,f657,f674]) ).

fof(f674,plain,
    ( spl0_57
  <=> line_equal(a2c2,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f657,plain,
    ( spl0_56
  <=> ! [X1] :
        ( ~ incident(X1,a2c2)
        | ~ incident(X1,b1c1)
        | point_equal(b1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f174,plain,
    ( spl0_7
  <=> incident(b1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f6451,plain,
    ( ! [X2] :
        ( ~ incident(X2,b1c1)
        | ~ incident(X2,a2c2)
        | line_equal(a2c2,b1c1)
        | point_equal(b1,X2) )
    | ~ spl0_7 ),
    inference(resolution,[],[f175,f472]) ).

fof(f472,plain,
    ! [X21,X20] :
      ( ~ incident(b1,X20)
      | line_equal(X20,b1c1)
      | point_equal(b1,X21)
      | ~ incident(X21,X20)
      | ~ incident(X21,b1c1) ),
    inference(resolution,[],[f130,f141]) ).

fof(f141,plain,
    incident(b1,b1c1),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    incident(b1,b1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1c1) ).

fof(f130,plain,
    ! [X2,X3,X0,X1] :
      ( ~ incident(X3,X2)
      | ~ incident(X3,X1)
      | line_equal(X1,X2)
      | point_equal(X3,X0)
      | ~ incident(X0,X2)
      | ~ incident(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3] :
      ( ~ incident(X0,X2)
      | ~ incident(X3,X1)
      | line_equal(X1,X2)
      | point_equal(X3,X0)
      | ~ incident(X0,X1)
      | ~ incident(X3,X2) ),
    inference(rectify,[],[f90]) ).

fof(f90,plain,
    ! [X2,X1,X0,X3] :
      ( ~ incident(X2,X0)
      | ~ incident(X3,X1)
      | line_equal(X1,X0)
      | point_equal(X3,X2)
      | ~ incident(X2,X1)
      | ~ incident(X3,X0) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3] :
      ( line_equal(X1,X0)
      | point_equal(X3,X2)
      | ~ incident(X3,X0)
      | ~ incident(X3,X1)
      | ~ incident(X2,X0)
      | ~ incident(X2,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( ( incident(X3,X0)
        & incident(X3,X1)
        & incident(X2,X0)
        & incident(X2,X1) )
     => ( line_equal(X1,X0)
        | point_equal(X3,X2) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X3,X2,X1,X0] :
      ( ( incident(X0,X2)
        & incident(X1,X2)
        & incident(X0,X3)
        & incident(X1,X3) )
     => ( point_equal(X0,X1)
        | line_equal(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).

fof(f175,plain,
    ( incident(b1,a2c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f6488,plain,
    spl0_32,
    inference(avatar_contradiction_clause,[],[f6487]) ).

fof(f6487,plain,
    ( $false
    | spl0_32 ),
    inference(resolution,[],[f429,f228]) ).

fof(f228,plain,
    line_equal(a2b2,a2b2),
    inference(resolution,[],[f129,f106]) ).

fof(f106,plain,
    incident(ab,a2b2),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    incident(ab,a2b2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab2) ).

fof(f429,plain,
    ( ~ line_equal(a2b2,a2b2)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl0_32
  <=> line_equal(a2b2,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f6445,plain,
    ( spl0_70
    | spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f5384,f170,f885,f747]) ).

fof(f747,plain,
    ( spl0_70
  <=> ! [X3] :
        ( ~ incident(X3,a2b2)
        | point_equal(c1,X3)
        | ~ incident(X3,oc) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f885,plain,
    ( spl0_91
  <=> line_equal(a2b2,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f170,plain,
    ( spl0_6
  <=> incident(c1,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f5384,plain,
    ( ! [X0] :
        ( line_equal(a2b2,oc)
        | point_equal(c1,X0)
        | ~ incident(X0,oc)
        | ~ incident(X0,a2b2) )
    | ~ spl0_6 ),
    inference(resolution,[],[f171,f478]) ).

fof(f478,plain,
    ! [X32,X33] :
      ( ~ incident(c1,X32)
      | ~ incident(X33,X32)
      | point_equal(c1,X33)
      | line_equal(X32,oc)
      | ~ incident(X33,oc) ),
    inference(resolution,[],[f130,f113]) ).

fof(f113,plain,
    incident(c1,oc),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    incident(c1,oc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1oc) ).

fof(f171,plain,
    ( incident(c1,a2b2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f6441,plain,
    ( spl0_245
    | ~ spl0_179
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f5406,f786,f199,f1722,f2390]) ).

fof(f2390,plain,
    ( spl0_245
  <=> point_equal(c1,b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1722,plain,
    ( spl0_179
  <=> incident(b2,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f199,plain,
    ( spl0_12
  <=> incident(b2,a1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f786,plain,
    ( spl0_76
  <=> ! [X1] :
        ( ~ incident(X1,b1c1)
        | ~ incident(X1,a1c1)
        | point_equal(c1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f5406,plain,
    ( ~ incident(b2,b1c1)
    | point_equal(c1,b2)
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(resolution,[],[f200,f787]) ).

fof(f787,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1c1)
        | point_equal(c1,X1)
        | ~ incident(X1,b1c1) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f200,plain,
    ( incident(b2,a1c1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f6438,plain,
    ( spl0_181
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f6295,f2167,f1731]) ).

fof(f1731,plain,
    ( spl0_181
  <=> incident(o,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f2167,plain,
    ( spl0_219
  <=> point_equal(o,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f6295,plain,
    ( incident(o,b1c1)
    | ~ spl0_219 ),
    inference(resolution,[],[f5728,f126]) ).

fof(f126,plain,
    incident(c1,b1c1),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    incident(c1,b1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1b1) ).

fof(f5728,plain,
    ( ! [X1] :
        ( ~ incident(c1,X1)
        | incident(o,X1) )
    | ~ spl0_219 ),
    inference(resolution,[],[f2169,f108]) ).

fof(f2169,plain,
    ( point_equal(o,c1)
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f2167]) ).

fof(f6432,plain,
    ( spl0_33
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f6426,f4956,f431]) ).

fof(f431,plain,
    ( spl0_33
  <=> incident(bc,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f4956,plain,
    ( spl0_372
  <=> point_equal(bc,b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f6426,plain,
    ( incident(bc,a2b2)
    | ~ spl0_372 ),
    inference(resolution,[],[f5796,f115]) ).

fof(f115,plain,
    incident(b2,a2b2),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    incident(b2,a2b2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2a2) ).

fof(f5796,plain,
    ( ! [X1] :
        ( ~ incident(b2,X1)
        | incident(bc,X1) )
    | ~ spl0_372 ),
    inference(resolution,[],[f4958,f108]) ).

fof(f4958,plain,
    ( point_equal(bc,b2)
    | ~ spl0_372 ),
    inference(avatar_component_clause,[],[f4956]) ).

fof(f6324,plain,
    ( spl0_190
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f6319,f1167,f1814]) ).

fof(f1814,plain,
    ( spl0_190
  <=> incident(o,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1167,plain,
    ( spl0_128
  <=> line_equal(oc,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f6319,plain,
    ( incident(o,b2c2)
    | ~ spl0_128 ),
    inference(resolution,[],[f1169,f321]) ).

fof(f321,plain,
    ! [X29] :
      ( ~ line_equal(oc,X29)
      | incident(o,X29) ),
    inference(resolution,[],[f131,f112]) ).

fof(f112,plain,
    incident(o,oc),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    incident(o,oc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooc) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ incident(X2,X1)
      | incident(X2,X0)
      | ~ line_equal(X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ~ line_equal(X1,X0)
      | incident(X2,X0)
      | ~ incident(X2,X1) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ line_equal(X0,X2)
      | incident(X1,X2)
      | ~ incident(X1,X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0,X2] :
      ( incident(X1,X2)
      | ~ line_equal(X0,X2)
      | ~ incident(X1,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X1,X0,X2] :
      ( ( line_equal(X0,X2)
        & incident(X1,X0) )
     => incident(X1,X2) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X1,X0,X2] :
      ( ( incident(X0,X1)
        & line_equal(X1,X2) )
     => incident(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).

fof(f1169,plain,
    ( line_equal(oc,b2c2)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f6312,plain,
    ( spl0_117
    | spl0_250
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f5712,f398,f2436,f1073]) ).

fof(f1073,plain,
    ( spl0_117
  <=> line_equal(b2c2,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2436,plain,
    ( spl0_250
  <=> ! [X2] :
        ( ~ incident(X2,oc)
        | ~ incident(X2,b2c2)
        | point_equal(b2,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f398,plain,
    ( spl0_26
  <=> incident(b2,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f5712,plain,
    ( ! [X0] :
        ( point_equal(b2,X0)
        | line_equal(b2c2,oc)
        | ~ incident(X0,oc)
        | ~ incident(X0,b2c2) )
    | ~ spl0_26 ),
    inference(resolution,[],[f5420,f99]) ).

fof(f99,plain,
    incident(b2,b2c2),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    incident(b2,b2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2c2) ).

fof(f5420,plain,
    ( ! [X3,X4] :
        ( ~ incident(b2,X3)
        | point_equal(b2,X4)
        | line_equal(X3,oc)
        | ~ incident(X4,X3)
        | ~ incident(X4,oc) )
    | ~ spl0_26 ),
    inference(resolution,[],[f399,f130]) ).

fof(f399,plain,
    ( incident(b2,oc)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f6310,plain,
    ( spl0_250
    | spl0_128
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f5415,f398,f1167,f2436]) ).

fof(f5415,plain,
    ( ! [X2] :
        ( line_equal(oc,b2c2)
        | point_equal(b2,X2)
        | ~ incident(X2,b2c2)
        | ~ incident(X2,oc) )
    | ~ spl0_26 ),
    inference(resolution,[],[f399,f482]) ).

fof(f482,plain,
    ! [X40,X41] :
      ( ~ incident(b2,X40)
      | point_equal(b2,X41)
      | ~ incident(X41,b2c2)
      | line_equal(X40,b2c2)
      | ~ incident(X41,X40) ),
    inference(resolution,[],[f130,f99]) ).

fof(f6308,plain,
    ( spl0_27
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f6305,f2306,f403]) ).

fof(f403,plain,
    ( spl0_27
  <=> incident(b2,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2306,plain,
    ( spl0_235
  <=> point_equal(b2,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f6305,plain,
    ( incident(b2,a2c2)
    | ~ spl0_235 ),
    inference(resolution,[],[f5772,f125]) ).

fof(f5772,plain,
    ( ! [X1] :
        ( ~ incident(c2,X1)
        | incident(b2,X1) )
    | ~ spl0_235 ),
    inference(resolution,[],[f2308,f108]) ).

fof(f2308,plain,
    ( point_equal(b2,c2)
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f2306]) ).

fof(f6132,plain,
    ( ~ spl0_199
    | spl0_206
    | ~ spl0_12
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f6131,f4625,f199,f2022,f1915]) ).

fof(f2022,plain,
    ( spl0_206
  <=> point_equal(a1,b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f4625,plain,
    ( spl0_358
  <=> ! [X2] :
        ( ~ incident(X2,a1c1)
        | ~ incident(X2,a2b2)
        | point_equal(a1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f6131,plain,
    ( point_equal(a1,b2)
    | ~ incident(b2,a2b2)
    | ~ spl0_12
    | ~ spl0_358 ),
    inference(resolution,[],[f4626,f200]) ).

fof(f4626,plain,
    ( ! [X2] :
        ( ~ incident(X2,a1c1)
        | point_equal(a1,X2)
        | ~ incident(X2,a2b2) )
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f4625]) ).

fof(f6035,plain,
    ( spl0_71
    | spl0_136
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f5404,f199,f1250,f751]) ).

fof(f1250,plain,
    ( spl0_136
  <=> ! [X1] :
        ( ~ incident(X1,a2b2)
        | ~ incident(X1,a1c1)
        | point_equal(b2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f5404,plain,
    ( ! [X1] :
        ( point_equal(b2,X1)
        | line_equal(a1c1,a2b2)
        | ~ incident(X1,a2b2)
        | ~ incident(X1,a1c1) )
    | ~ spl0_12 ),
    inference(resolution,[],[f200,f483]) ).

fof(f483,plain,
    ! [X42,X43] :
      ( ~ incident(b2,X42)
      | point_equal(b2,X43)
      | line_equal(X42,a2b2)
      | ~ incident(X43,X42)
      | ~ incident(X43,a2b2) ),
    inference(resolution,[],[f130,f115]) ).

fof(f6020,plain,
    ( ~ spl0_12
    | spl0_206
    | ~ spl0_48
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f5999,f3390,f614,f2022,f199]) ).

fof(f614,plain,
    ( spl0_48
  <=> ! [X2] :
        ( ~ incident(X2,a1c1)
        | ~ incident(X2,oa)
        | point_equal(a1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3390,plain,
    ( spl0_301
  <=> incident(b2,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f5999,plain,
    ( point_equal(a1,b2)
    | ~ incident(b2,a1c1)
    | ~ spl0_48
    | ~ spl0_301 ),
    inference(resolution,[],[f3391,f615]) ).

fof(f615,plain,
    ( ! [X2] :
        ( ~ incident(X2,oa)
        | point_equal(a1,X2)
        | ~ incident(X2,a1c1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f3391,plain,
    ( incident(b2,oa)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f3390]) ).

fof(f5980,plain,
    ( spl0_301
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f5977,f1810,f3390]) ).

fof(f1810,plain,
    ( spl0_189
  <=> point_equal(b2,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f5977,plain,
    ( incident(b2,oa)
    | ~ spl0_189 ),
    inference(resolution,[],[f4719,f109]) ).

fof(f109,plain,
    incident(o,oa),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    incident(o,oa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooa) ).

fof(f4719,plain,
    ( ! [X1] :
        ( ~ incident(o,X1)
        | incident(b2,X1) )
    | ~ spl0_189 ),
    inference(resolution,[],[f1812,f108]) ).

fof(f1812,plain,
    ( point_equal(b2,o)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1810]) ).

fof(f5863,plain,
    ( spl0_7
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f5858,f1615,f174]) ).

fof(f1615,plain,
    ( spl0_170
  <=> point_equal(b1,a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f5858,plain,
    ( incident(b1,a2c2)
    | ~ spl0_170 ),
    inference(resolution,[],[f3809,f105]) ).

fof(f3809,plain,
    ( ! [X1] :
        ( ~ incident(a2,X1)
        | incident(b1,X1) )
    | ~ spl0_170 ),
    inference(resolution,[],[f1617,f108]) ).

fof(f1617,plain,
    ( point_equal(b1,a2)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f5862,plain,
    ( spl0_221
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f5860,f1615,f2179]) ).

fof(f5860,plain,
    ( incident(b1,oa)
    | ~ spl0_170 ),
    inference(resolution,[],[f3809,f103]) ).

fof(f103,plain,
    incident(a2,oa),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    incident(a2,oa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2oa) ).

fof(f5861,plain,
    ( spl0_22
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f5859,f1615,f377]) ).

fof(f377,plain,
    ( spl0_22
  <=> incident(b1,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f5859,plain,
    ( incident(b1,a2b2)
    | ~ spl0_170 ),
    inference(resolution,[],[f3809,f146]) ).

fof(f146,plain,
    incident(a2,a2b2),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    incident(a2,a2b2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2b2) ).

fof(f5843,plain,
    spl0_407,
    inference(avatar_contradiction_clause,[],[f5842]) ).

fof(f5842,plain,
    ( $false
    | spl0_407 ),
    inference(resolution,[],[f5837,f118]) ).

fof(f118,plain,
    incident(ac,a2c2),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    incident(ac,a2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac2) ).

fof(f5837,plain,
    ( ~ incident(ac,a2c2)
    | spl0_407 ),
    inference(avatar_component_clause,[],[f5835]) ).

fof(f5766,plain,
    ( spl0_289
    | ~ spl0_6
    | ~ spl0_87
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f5755,f2191,f860,f170,f3132]) ).

fof(f3132,plain,
    ( spl0_289
  <=> point_equal(a2,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f860,plain,
    ( spl0_87
  <=> ! [X1] :
        ( point_equal(a2,X1)
        | ~ incident(X1,oa)
        | ~ incident(X1,a2b2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2191,plain,
    ( spl0_223
  <=> incident(c1,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f5755,plain,
    ( ~ incident(c1,a2b2)
    | point_equal(a2,c1)
    | ~ spl0_87
    | ~ spl0_223 ),
    inference(resolution,[],[f2192,f861]) ).

fof(f861,plain,
    ( ! [X1] :
        ( ~ incident(X1,oa)
        | ~ incident(X1,a2b2)
        | point_equal(a2,X1) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f2192,plain,
    ( incident(c1,oa)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f2191]) ).

fof(f5702,plain,
    ( spl0_235
    | ~ spl0_191
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f5700,f2436,f1823,f2306]) ).

fof(f1823,plain,
    ( spl0_191
  <=> incident(c2,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f5700,plain,
    ( ~ incident(c2,b2c2)
    | point_equal(b2,c2)
    | ~ spl0_250 ),
    inference(resolution,[],[f2437,f120]) ).

fof(f120,plain,
    incident(c2,oc),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    incident(c2,oc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2oc) ).

fof(f2437,plain,
    ( ! [X2] :
        ( ~ incident(X2,oc)
        | point_equal(b2,X2)
        | ~ incident(X2,b2c2) )
    | ~ spl0_250 ),
    inference(avatar_component_clause,[],[f2436]) ).

fof(f5610,plain,
    ( spl0_182
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f5605,f1014,f1743]) ).

fof(f1743,plain,
    ( spl0_182
  <=> incident(o,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1014,plain,
    ( spl0_111
  <=> line_equal(ob,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f5605,plain,
    ( incident(o,a2b2)
    | ~ spl0_111 ),
    inference(resolution,[],[f1016,f319]) ).

fof(f319,plain,
    ! [X27] :
      ( ~ line_equal(ob,X27)
      | incident(o,X27) ),
    inference(resolution,[],[f131,f100]) ).

fof(f100,plain,
    incident(o,ob),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    incident(o,ob),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ioob) ).

fof(f1016,plain,
    ( line_equal(ob,a2b2)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f5543,plain,
    ( ~ spl0_22
    | spl0_3
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f5047,f1911,f157,f377]) ).

fof(f157,plain,
    ( spl0_3
  <=> point_equal(b2,b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1911,plain,
    ( spl0_198
  <=> ! [X1] :
        ( point_equal(b2,X1)
        | ~ incident(X1,a2b2)
        | ~ incident(X1,a1b1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f5047,plain,
    ( point_equal(b2,b1)
    | ~ incident(b1,a2b2)
    | ~ spl0_198 ),
    inference(resolution,[],[f1912,f142]) ).

fof(f142,plain,
    incident(b1,a1b1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    incident(b1,a1b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1a1) ).

fof(f1912,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1b1)
        | point_equal(b2,X1)
        | ~ incident(X1,a2b2) )
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1911]) ).

fof(f5542,plain,
    ( ~ spl0_29
    | spl0_372
    | ~ spl0_38
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f5525,f1722,f534,f4956,f412]) ).

fof(f412,plain,
    ( spl0_29
  <=> incident(b2,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f534,plain,
    ( spl0_38
  <=> ! [X1] :
        ( point_equal(bc,X1)
        | ~ incident(X1,b2c2)
        | ~ incident(X1,b1c1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f5525,plain,
    ( point_equal(bc,b2)
    | ~ incident(b2,b2c2)
    | ~ spl0_38
    | ~ spl0_179 ),
    inference(resolution,[],[f1723,f535]) ).

fof(f535,plain,
    ( ! [X1] :
        ( ~ incident(X1,b1c1)
        | ~ incident(X1,b2c2)
        | point_equal(bc,X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1723,plain,
    ( incident(b2,b1c1)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1722]) ).

fof(f5480,plain,
    ( spl0_69
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f5478,f885,f743]) ).

fof(f743,plain,
    ( spl0_69
  <=> line_equal(oc,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f5478,plain,
    ( line_equal(oc,a2b2)
    | ~ spl0_91 ),
    inference(resolution,[],[f887,f136]) ).

fof(f887,plain,
    ( line_equal(a2b2,oc)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f5455,plain,
    ( spl0_176
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f5451,f743,f1661]) ).

fof(f5451,plain,
    ( incident(c2,a2b2)
    | ~ spl0_69 ),
    inference(resolution,[],[f745,f316]) ).

fof(f316,plain,
    ! [X24] :
      ( ~ line_equal(oc,X24)
      | incident(c2,X24) ),
    inference(resolution,[],[f131,f120]) ).

fof(f745,plain,
    ( line_equal(oc,a2b2)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f5382,plain,
    ( spl0_159
    | ~ spl0_160
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f4359,f597,f1556,f1552]) ).

fof(f1552,plain,
    ( spl0_159
  <=> point_equal(a1,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1556,plain,
    ( spl0_160
  <=> incident(o,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f4359,plain,
    ( ~ incident(o,a1b1)
    | point_equal(a1,o)
    | ~ spl0_45 ),
    inference(resolution,[],[f598,f109]) ).

fof(f5379,plain,
    ( spl0_34
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f5375,f1520,f436]) ).

fof(f436,plain,
    ( spl0_34
  <=> incident(ac,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1520,plain,
    ( spl0_154
  <=> point_equal(ac,a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f5375,plain,
    ( incident(ac,a1b1)
    | ~ spl0_154 ),
    inference(resolution,[],[f3769,f101]) ).

fof(f101,plain,
    incident(a1,a1b1),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    incident(a1,a1b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1b1) ).

fof(f3769,plain,
    ( ! [X1] :
        ( ~ incident(a1,X1)
        | incident(ac,X1) )
    | ~ spl0_154 ),
    inference(resolution,[],[f1522,f108]) ).

fof(f1522,plain,
    ( point_equal(ac,a1)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f5341,plain,
    ( spl0_6
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f5337,f1846,f170]) ).

fof(f1846,plain,
    ( spl0_192
  <=> point_equal(c1,a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f5337,plain,
    ( incident(c1,a2b2)
    | ~ spl0_192 ),
    inference(resolution,[],[f3403,f146]) ).

fof(f3403,plain,
    ( ! [X1] :
        ( ~ incident(a2,X1)
        | incident(c1,X1) )
    | ~ spl0_192 ),
    inference(resolution,[],[f1848,f108]) ).

fof(f1848,plain,
    ( point_equal(c1,a2)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1846]) ).

fof(f5340,plain,
    ( spl0_153
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f5336,f1846,f1515]) ).

fof(f1515,plain,
    ( spl0_153
  <=> incident(c1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f5336,plain,
    ( incident(c1,a2c2)
    | ~ spl0_192 ),
    inference(resolution,[],[f3403,f105]) ).

fof(f5136,plain,
    ( spl0_10
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f5135,f1568,f190]) ).

fof(f190,plain,
    ( spl0_10
  <=> point_equal(a2,a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1568,plain,
    ( spl0_162
  <=> point_equal(a1,a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f5135,plain,
    ( point_equal(a2,a1)
    | ~ spl0_162 ),
    inference(resolution,[],[f1570,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ point_equal(X1,X0)
      | point_equal(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ point_equal(X1,X0)
      | point_equal(X0,X1) ),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ! [X1,X0] :
      ( ~ point_equal(X0,X1)
      | point_equal(X1,X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( point_equal(X0,X1)
     => point_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).

fof(f1570,plain,
    ( point_equal(a1,a2)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f4920,plain,
    ( spl0_271
    | ~ spl0_182
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f4680,f860,f1743,f2808]) ).

fof(f2808,plain,
    ( spl0_271
  <=> point_equal(a2,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f4680,plain,
    ( ~ incident(o,a2b2)
    | point_equal(a2,o)
    | ~ spl0_87 ),
    inference(resolution,[],[f861,f109]) ).

fof(f4916,plain,
    ( spl0_289
    | ~ spl0_268
    | ~ spl0_85
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f4727,f2191,f852,f2747,f3132]) ).

fof(f2747,plain,
    ( spl0_268
  <=> incident(c1,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f852,plain,
    ( spl0_85
  <=> ! [X2] :
        ( ~ incident(X2,b1c1)
        | point_equal(a2,X2)
        | ~ incident(X2,oa) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f4727,plain,
    ( ~ incident(c1,b1c1)
    | point_equal(a2,c1)
    | ~ spl0_85
    | ~ spl0_223 ),
    inference(resolution,[],[f2192,f853]) ).

fof(f853,plain,
    ( ! [X2] :
        ( ~ incident(X2,oa)
        | point_equal(a2,X2)
        | ~ incident(X2,b1c1) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f4914,plain,
    ( ~ spl0_153
    | spl0_289
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4416,f1111,f3132,f1515]) ).

fof(f1111,plain,
    ( spl0_123
  <=> ! [X1] :
        ( ~ incident(X1,b1c1)
        | point_equal(a2,X1)
        | ~ incident(X1,a2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f4416,plain,
    ( point_equal(a2,c1)
    | ~ incident(c1,a2c2)
    | ~ spl0_123 ),
    inference(resolution,[],[f1112,f126]) ).

fof(f1112,plain,
    ( ! [X1] :
        ( ~ incident(X1,b1c1)
        | point_equal(a2,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f4913,plain,
    ( spl0_14
    | ~ spl0_47
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f4910,f895,f610,f208]) ).

fof(f208,plain,
    ( spl0_14
  <=> line_equal(a1c1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f610,plain,
    ( spl0_47
  <=> line_equal(a1c1,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f895,plain,
    ( spl0_92
  <=> line_equal(oa,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f4910,plain,
    ( line_equal(a1c1,a2c2)
    | ~ spl0_47
    | ~ spl0_92 ),
    inference(resolution,[],[f612,f4256]) ).

fof(f4256,plain,
    ( ! [X0] :
        ( ~ line_equal(X0,oa)
        | line_equal(X0,a2c2) )
    | ~ spl0_92 ),
    inference(resolution,[],[f897,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ line_equal(X2,X1)
      | line_equal(X0,X1)
      | ~ line_equal(X0,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ~ line_equal(X0,X2)
      | ~ line_equal(X2,X1)
      | line_equal(X0,X1) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ line_equal(X2,X1)
      | ~ line_equal(X1,X0)
      | line_equal(X2,X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( line_equal(X2,X0)
      | ~ line_equal(X1,X0)
      | ~ line_equal(X2,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ( line_equal(X1,X0)
        & line_equal(X2,X1) )
     => line_equal(X2,X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X2,X1,X0] :
      ( ( line_equal(X0,X1)
        & line_equal(X1,X2) )
     => line_equal(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).

fof(f897,plain,
    ( line_equal(oa,a2c2)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f612,plain,
    ( line_equal(a1c1,oa)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f4904,plain,
    ( spl0_10
    | ~ spl0_239
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f4900,f3132,f2351,f190]) ).

fof(f2351,plain,
    ( spl0_239
  <=> point_equal(c1,a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f4900,plain,
    ( point_equal(a2,a1)
    | ~ spl0_239
    | ~ spl0_289 ),
    inference(resolution,[],[f3398,f2353]) ).

fof(f2353,plain,
    ( point_equal(c1,a1)
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f2351]) ).

fof(f3398,plain,
    ( ! [X0] :
        ( ~ point_equal(c1,X0)
        | point_equal(a2,X0) )
    | ~ spl0_289 ),
    inference(resolution,[],[f3134,f132]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ point_equal(X2,X0)
      | ~ point_equal(X0,X1)
      | point_equal(X2,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ~ point_equal(X0,X1)
      | ~ point_equal(X2,X0)
      | point_equal(X2,X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( point_equal(X2,X1)
      | ~ point_equal(X0,X1)
      | ~ point_equal(X2,X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( ( point_equal(X0,X1)
        & point_equal(X2,X0) )
     => point_equal(X2,X1) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X1,X2,X0] :
      ( ( point_equal(X0,X1)
        & point_equal(X1,X2) )
     => point_equal(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).

fof(f3134,plain,
    ( point_equal(a2,c1)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f3132]) ).

fof(f4868,plain,
    ( spl0_227
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f4866,f2808,f2230]) ).

fof(f2230,plain,
    ( spl0_227
  <=> incident(a2,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f4866,plain,
    ( incident(a2,ob)
    | ~ spl0_271 ),
    inference(resolution,[],[f2984,f100]) ).

fof(f2984,plain,
    ( ! [X1] :
        ( ~ incident(o,X1)
        | incident(a2,X1) )
    | ~ spl0_271 ),
    inference(resolution,[],[f2810,f108]) ).

fof(f2810,plain,
    ( point_equal(a2,o)
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f2808]) ).

fof(f4632,plain,
    ( spl0_15
    | ~ spl0_153
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2110,f1093,f1515,f214]) ).

fof(f214,plain,
    ( spl0_15
  <=> point_equal(c2,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1093,plain,
    ( spl0_122
  <=> ! [X1] :
        ( ~ incident(X1,oc)
        | point_equal(c2,X1)
        | ~ incident(X1,a2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2110,plain,
    ( ~ incident(c1,a2c2)
    | point_equal(c2,c1)
    | ~ spl0_122 ),
    inference(resolution,[],[f1094,f113]) ).

fof(f1094,plain,
    ( ! [X1] :
        ( ~ incident(X1,oc)
        | ~ incident(X1,a2c2)
        | point_equal(c2,X1) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f4627,plain,
    ( spl0_358
    | spl0_90
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f4602,f373,f880,f4625]) ).

fof(f373,plain,
    ( spl0_21
  <=> incident(a1,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f4602,plain,
    ( ! [X2] :
        ( line_equal(a2b2,a1c1)
        | ~ incident(X2,a1c1)
        | point_equal(a1,X2)
        | ~ incident(X2,a2b2) )
    | ~ spl0_21 ),
    inference(resolution,[],[f374,f470]) ).

fof(f470,plain,
    ! [X16,X17] :
      ( ~ incident(a1,X16)
      | line_equal(X16,a1c1)
      | ~ incident(X17,X16)
      | point_equal(a1,X17)
      | ~ incident(X17,a1c1) ),
    inference(resolution,[],[f130,f140]) ).

fof(f140,plain,
    incident(a1,a1c1),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    incident(a1,a1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1c1) ).

fof(f374,plain,
    ( incident(a1,a2b2)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f4611,plain,
    ( spl0_10
    | ~ spl0_155
    | ~ spl0_21
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f4606,f904,f373,f1524,f190]) ).

fof(f1524,plain,
    ( spl0_155
  <=> incident(a1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f904,plain,
    ( spl0_94
  <=> ! [X1] :
        ( ~ incident(X1,a2c2)
        | ~ incident(X1,a2b2)
        | point_equal(a2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f4606,plain,
    ( ~ incident(a1,a2c2)
    | point_equal(a2,a1)
    | ~ spl0_21
    | ~ spl0_94 ),
    inference(resolution,[],[f374,f905]) ).

fof(f905,plain,
    ( ! [X1] :
        ( ~ incident(X1,a2b2)
        | point_equal(a2,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f4598,plain,
    ( spl0_333
    | ~ spl0_5
    | ~ spl0_100
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f4586,f1473,f945,f166,f4120]) ).

fof(f4120,plain,
    ( spl0_333
  <=> point_equal(b2,a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f166,plain,
    ( spl0_5
  <=> incident(a1,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f945,plain,
    ( spl0_100
  <=> ! [X3] :
        ( ~ incident(X3,ob)
        | point_equal(b2,X3)
        | ~ incident(X3,b2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1473,plain,
    ( spl0_145
  <=> incident(a1,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f4586,plain,
    ( ~ incident(a1,b2c2)
    | point_equal(b2,a1)
    | ~ spl0_100
    | ~ spl0_145 ),
    inference(resolution,[],[f1474,f946]) ).

fof(f946,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | ~ incident(X3,b2c2)
        | point_equal(b2,X3) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1474,plain,
    ( incident(a1,ob)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f4567,plain,
    ( spl0_206
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f4566,f4120,f2022]) ).

fof(f4566,plain,
    ( point_equal(a1,b2)
    | ~ spl0_333 ),
    inference(resolution,[],[f4122,f97]) ).

fof(f4122,plain,
    ( point_equal(b2,a1)
    | ~ spl0_333 ),
    inference(avatar_component_clause,[],[f4120]) ).

fof(f4504,plain,
    ( spl0_134
    | spl0_243
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f4155,f368,f2368,f1201]) ).

fof(f1201,plain,
    ( spl0_134
  <=> line_equal(oc,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2368,plain,
    ( spl0_243
  <=> ! [X2] :
        ( ~ incident(X2,oc)
        | point_equal(a1,X2)
        | ~ incident(X2,oa) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f368,plain,
    ( spl0_20
  <=> incident(a1,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f4155,plain,
    ( ! [X1] :
        ( ~ incident(X1,oc)
        | point_equal(a1,X1)
        | ~ incident(X1,oa)
        | line_equal(oc,oa) )
    | ~ spl0_20 ),
    inference(resolution,[],[f369,f469]) ).

fof(f469,plain,
    ! [X14,X15] :
      ( ~ incident(a1,X14)
      | point_equal(a1,X15)
      | line_equal(X14,oa)
      | ~ incident(X15,X14)
      | ~ incident(X15,oa) ),
    inference(resolution,[],[f130,f134]) ).

fof(f134,plain,
    incident(a1,oa),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    incident(a1,oa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1oa) ).

fof(f369,plain,
    ( incident(a1,oc)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f4317,plain,
    ( spl0_223
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4314,f1201,f2191]) ).

fof(f4314,plain,
    ( incident(c1,oa)
    | ~ spl0_134 ),
    inference(resolution,[],[f1203,f308]) ).

fof(f308,plain,
    ! [X16] :
      ( ~ line_equal(oc,X16)
      | incident(c1,X16) ),
    inference(resolution,[],[f131,f113]) ).

fof(f1203,plain,
    ( line_equal(oc,oa)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f4311,plain,
    ( spl0_153
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4307,f1150,f1515]) ).

fof(f1150,plain,
    ( spl0_125
  <=> line_equal(oc,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f4307,plain,
    ( incident(c1,a2c2)
    | ~ spl0_125 ),
    inference(resolution,[],[f1152,f308]) ).

fof(f1152,plain,
    ( line_equal(oc,a2c2)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f4303,plain,
    ( spl0_19
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f4298,f1084,f364]) ).

fof(f364,plain,
    ( spl0_19
  <=> incident(b1,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1084,plain,
    ( spl0_120
  <=> line_equal(a1b1,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f4298,plain,
    ( incident(b1,oc)
    | ~ spl0_120 ),
    inference(resolution,[],[f1086,f303]) ).

fof(f303,plain,
    ! [X11] :
      ( ~ line_equal(a1b1,X11)
      | incident(b1,X11) ),
    inference(resolution,[],[f131,f142]) ).

fof(f1086,plain,
    ( line_equal(a1b1,oc)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f4276,plain,
    ( spl0_15
    | ~ spl0_148
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2446,f1077,f1490,f214]) ).

fof(f1490,plain,
    ( spl0_148
  <=> incident(c1,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1077,plain,
    ( spl0_118
  <=> ! [X0] :
        ( ~ incident(X0,oc)
        | point_equal(c2,X0)
        | ~ incident(X0,b2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2446,plain,
    ( ~ incident(c1,b2c2)
    | point_equal(c2,c1)
    | ~ spl0_118 ),
    inference(resolution,[],[f1078,f113]) ).

fof(f1078,plain,
    ( ! [X0] :
        ( ~ incident(X0,oc)
        | point_equal(c2,X0)
        | ~ incident(X0,b2c2) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f4239,plain,
    ( spl0_223
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f4234,f610,f2191]) ).

fof(f4234,plain,
    ( incident(c1,oa)
    | ~ spl0_47 ),
    inference(resolution,[],[f612,f307]) ).

fof(f307,plain,
    ! [X15] :
      ( ~ line_equal(a1c1,X15)
      | incident(c1,X15) ),
    inference(resolution,[],[f131,f116]) ).

fof(f116,plain,
    incident(c1,a1c1),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    incident(c1,a1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1a1) ).

fof(f4227,plain,
    ( spl0_163
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f4221,f807,f1573]) ).

fof(f1573,plain,
    ( spl0_163
  <=> incident(o,a1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f807,plain,
    ( spl0_80
  <=> line_equal(oc,a1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f4221,plain,
    ( incident(o,a1c1)
    | ~ spl0_80 ),
    inference(resolution,[],[f809,f321]) ).

fof(f809,plain,
    ( line_equal(oc,a1c1)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f4130,plain,
    ( spl0_181
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f4064,f2183,f1731]) ).

fof(f2183,plain,
    ( spl0_222
  <=> point_equal(o,b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f4064,plain,
    ( incident(o,b1c1)
    | ~ spl0_222 ),
    inference(resolution,[],[f2955,f141]) ).

fof(f2955,plain,
    ( ! [X1] :
        ( ~ incident(b1,X1)
        | incident(o,X1) )
    | ~ spl0_222 ),
    inference(resolution,[],[f2185,f108]) ).

fof(f2185,plain,
    ( point_equal(o,b1)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f2183]) ).

fof(f4117,plain,
    ( ~ spl0_22
    | spl0_3
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2048,f1018,f157,f377]) ).

fof(f1018,plain,
    ( spl0_112
  <=> ! [X3] :
        ( ~ incident(X3,a2b2)
        | ~ incident(X3,ob)
        | point_equal(b2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2048,plain,
    ( point_equal(b2,b1)
    | ~ incident(b1,a2b2)
    | ~ spl0_112 ),
    inference(resolution,[],[f1019,f127]) ).

fof(f127,plain,
    incident(b1,ob),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    incident(b1,ob),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1ob) ).

fof(f1019,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | point_equal(b2,X3)
        | ~ incident(X3,a2b2) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f4116,plain,
    ( spl0_19
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f4012,f824,f364]) ).

fof(f824,plain,
    ( spl0_83
  <=> line_equal(b1c1,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4012,plain,
    ( incident(b1,oc)
    | ~ spl0_83 ),
    inference(resolution,[],[f826,f302]) ).

fof(f302,plain,
    ! [X10] :
      ( ~ line_equal(b1c1,X10)
      | incident(b1,X10) ),
    inference(resolution,[],[f131,f141]) ).

fof(f826,plain,
    ( line_equal(b1c1,oc)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f4113,plain,
    ( ~ spl0_155
    | spl0_10
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3848,f3183,f190,f1524]) ).

fof(f3183,plain,
    ( spl0_290
  <=> ! [X1] :
        ( ~ incident(X1,a1b1)
        | ~ incident(X1,a2c2)
        | point_equal(a2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f3848,plain,
    ( point_equal(a2,a1)
    | ~ incident(a1,a2c2)
    | ~ spl0_290 ),
    inference(resolution,[],[f3184,f101]) ).

fof(f3184,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1b1)
        | point_equal(a2,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f3183]) ).

fof(f4111,plain,
    ( spl0_212
    | ~ spl0_164
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2112,f1093,f1581,f2095]) ).

fof(f2095,plain,
    ( spl0_212
  <=> point_equal(c2,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1581,plain,
    ( spl0_164
  <=> incident(o,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2112,plain,
    ( ~ incident(o,a2c2)
    | point_equal(c2,o)
    | ~ spl0_122 ),
    inference(resolution,[],[f1094,f112]) ).

fof(f4109,plain,
    ( spl0_173
    | ~ spl0_174
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f3899,f3619,f1652,f1648]) ).

fof(f1648,plain,
    ( spl0_173
  <=> point_equal(b1,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1652,plain,
    ( spl0_174
  <=> incident(c2,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3619,plain,
    ( spl0_318
  <=> ! [X0] :
        ( ~ incident(X0,oc)
        | point_equal(b1,X0)
        | ~ incident(X0,a2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f3899,plain,
    ( ~ incident(c2,a2c2)
    | point_equal(b1,c2)
    | ~ spl0_318 ),
    inference(resolution,[],[f3620,f120]) ).

fof(f3620,plain,
    ( ! [X0] :
        ( ~ incident(X0,oc)
        | point_equal(b1,X0)
        | ~ incident(X0,a2c2) )
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f3619]) ).

fof(f4104,plain,
    ( spl0_266
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f3288,f1250,f170,f2726]) ).

fof(f2726,plain,
    ( spl0_266
  <=> point_equal(b2,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f3288,plain,
    ( ~ incident(c1,a2b2)
    | point_equal(b2,c1)
    | ~ spl0_136 ),
    inference(resolution,[],[f1251,f116]) ).

fof(f1251,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1c1)
        | point_equal(b2,X1)
        | ~ incident(X1,a2b2) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1250]) ).

fof(f4103,plain,
    ( spl0_266
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2969,f2390,f2726]) ).

fof(f2969,plain,
    ( point_equal(b2,c1)
    | ~ spl0_245 ),
    inference(resolution,[],[f2392,f97]) ).

fof(f2392,plain,
    ( point_equal(c1,b2)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f2390]) ).

fof(f4101,plain,
    ( spl0_179
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f4097,f2726,f1722]) ).

fof(f4097,plain,
    ( incident(b2,b1c1)
    | ~ spl0_266 ),
    inference(resolution,[],[f2964,f126]) ).

fof(f2964,plain,
    ( ! [X1] :
        ( ~ incident(c1,X1)
        | incident(b2,X1) )
    | ~ spl0_266 ),
    inference(resolution,[],[f2728,f108]) ).

fof(f2728,plain,
    ( point_equal(b2,c1)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f2726]) ).

fof(f4100,plain,
    ( spl0_26
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f4099,f2726,f398]) ).

fof(f4099,plain,
    ( incident(b2,oc)
    | ~ spl0_266 ),
    inference(resolution,[],[f2964,f113]) ).

fof(f4069,plain,
    ( spl0_164
    | ~ spl0_7
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f4063,f2183,f174,f1581]) ).

fof(f4063,plain,
    ( incident(o,a2c2)
    | ~ spl0_7
    | ~ spl0_222 ),
    inference(resolution,[],[f2955,f175]) ).

fof(f4009,plain,
    ( spl0_220
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f4002,f723,f2171]) ).

fof(f2171,plain,
    ( spl0_220
  <=> incident(c1,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f723,plain,
    ( spl0_66
  <=> line_equal(b1c1,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f4002,plain,
    ( incident(c1,ob)
    | ~ spl0_66 ),
    inference(resolution,[],[f725,f306]) ).

fof(f306,plain,
    ! [X14] :
      ( ~ line_equal(b1c1,X14)
      | incident(c1,X14) ),
    inference(resolution,[],[f131,f126]) ).

fof(f725,plain,
    ( line_equal(b1c1,ob)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f4008,plain,
    ( spl0_16
    | ~ spl0_66
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f4005,f941,f723,f220]) ).

fof(f220,plain,
    ( spl0_16
  <=> line_equal(b1c1,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f941,plain,
    ( spl0_99
  <=> line_equal(ob,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f4005,plain,
    ( line_equal(b1c1,b2c2)
    | ~ spl0_66
    | ~ spl0_99 ),
    inference(resolution,[],[f725,f3705]) ).

fof(f3705,plain,
    ( ! [X0] :
        ( ~ line_equal(X0,ob)
        | line_equal(X0,b2c2) )
    | ~ spl0_99 ),
    inference(resolution,[],[f943,f104]) ).

fof(f943,plain,
    ( line_equal(ob,b2c2)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f4001,plain,
    ( spl0_181
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f3996,f790,f1731]) ).

fof(f790,plain,
    ( spl0_77
  <=> line_equal(oc,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3996,plain,
    ( incident(o,b1c1)
    | ~ spl0_77 ),
    inference(resolution,[],[f792,f321]) ).

fof(f792,plain,
    ( line_equal(oc,b1c1)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f3985,plain,
    ( spl0_277
    | ~ spl0_183
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f3983,f2162,f1747,f2911]) ).

fof(f2911,plain,
    ( spl0_277
  <=> point_equal(c1,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f1747,plain,
    ( spl0_183
  <=> point_equal(c1,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2162,plain,
    ( spl0_218
  <=> point_equal(o,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f3983,plain,
    ( point_equal(c1,c2)
    | ~ spl0_183
    | ~ spl0_218 ),
    inference(resolution,[],[f2947,f2164]) ).

fof(f2164,plain,
    ( point_equal(o,c2)
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f2162]) ).

fof(f2947,plain,
    ( ! [X0] :
        ( ~ point_equal(o,X0)
        | point_equal(c1,X0) )
    | ~ spl0_183 ),
    inference(resolution,[],[f1749,f132]) ).

fof(f1749,plain,
    ( point_equal(c1,o)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f3952,plain,
    ( spl0_21
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f3947,f2022,f373]) ).

fof(f3947,plain,
    ( incident(a1,a2b2)
    | ~ spl0_206 ),
    inference(resolution,[],[f2283,f115]) ).

fof(f2283,plain,
    ( ! [X1] :
        ( ~ incident(b2,X1)
        | incident(a1,X1) )
    | ~ spl0_206 ),
    inference(resolution,[],[f2024,f108]) ).

fof(f2024,plain,
    ( point_equal(a1,b2)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f2022]) ).

fof(f3950,plain,
    ( spl0_145
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f3949,f2022,f1473]) ).

fof(f3949,plain,
    ( incident(a1,ob)
    | ~ spl0_206 ),
    inference(resolution,[],[f2283,f139]) ).

fof(f139,plain,
    incident(b2,ob),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    incident(b2,ob),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2ob) ).

fof(f3917,plain,
    ( spl0_162
    | ~ spl0_170
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f3914,f2017,f1615,f1568]) ).

fof(f3914,plain,
    ( point_equal(a1,a2)
    | ~ spl0_170
    | ~ spl0_205 ),
    inference(resolution,[],[f2279,f1617]) ).

fof(f2279,plain,
    ( ! [X0] :
        ( ~ point_equal(b1,X0)
        | point_equal(a1,X0) )
    | ~ spl0_205 ),
    inference(resolution,[],[f2019,f132]) ).

fof(f2019,plain,
    ( point_equal(a1,b1)
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f2017]) ).

fof(f3861,plain,
    spl0_313,
    inference(avatar_contradiction_clause,[],[f3860]) ).

fof(f3860,plain,
    ( $false
    | spl0_313 ),
    inference(resolution,[],[f3575,f142]) ).

fof(f3575,plain,
    ( ~ incident(b1,a1b1)
    | spl0_313 ),
    inference(avatar_component_clause,[],[f3573]) ).

fof(f3760,plain,
    ( spl0_10
    | ~ spl0_155
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3755,f868,f1524,f190]) ).

fof(f868,plain,
    ( spl0_89
  <=> ! [X0] :
        ( ~ incident(X0,oa)
        | ~ incident(X0,a2c2)
        | point_equal(a2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3755,plain,
    ( ~ incident(a1,a2c2)
    | point_equal(a2,a1)
    | ~ spl0_89 ),
    inference(resolution,[],[f869,f134]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ incident(X0,oa)
        | point_equal(a2,X0)
        | ~ incident(X0,a2c2) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f3721,plain,
    ( spl0_120
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f3718,f2363,f1084]) ).

fof(f2363,plain,
    ( spl0_242
  <=> line_equal(oc,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f3718,plain,
    ( line_equal(a1b1,oc)
    | ~ spl0_242 ),
    inference(resolution,[],[f2365,f136]) ).

fof(f2365,plain,
    ( line_equal(oc,a1b1)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f2363]) ).

fof(f3643,plain,
    spl0_35,
    inference(avatar_contradiction_clause,[],[f3642]) ).

fof(f3642,plain,
    ( $false
    | spl0_35 ),
    inference(resolution,[],[f442,f229]) ).

fof(f229,plain,
    line_equal(a1b1,a1b1),
    inference(resolution,[],[f129,f111]) ).

fof(f111,plain,
    incident(ab,a1b1),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    incident(ab,a1b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab1) ).

fof(f442,plain,
    ( ~ line_equal(a1b1,a1b1)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_35
  <=> line_equal(a1b1,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3621,plain,
    ( spl0_318
    | spl0_121
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f3609,f364,f174,f1089,f3619]) ).

fof(f1089,plain,
    ( spl0_121
  <=> line_equal(a2c2,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3609,plain,
    ( ! [X0] :
        ( line_equal(a2c2,oc)
        | ~ incident(X0,oc)
        | ~ incident(X0,a2c2)
        | point_equal(b1,X0) )
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(resolution,[],[f175,f2698]) ).

fof(f2698,plain,
    ( ! [X3,X4] :
        ( ~ incident(b1,X3)
        | point_equal(b1,X4)
        | ~ incident(X4,oc)
        | line_equal(X3,oc)
        | ~ incident(X4,X3) )
    | ~ spl0_19 ),
    inference(resolution,[],[f365,f130]) ).

fof(f365,plain,
    ( incident(b1,oc)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f3568,plain,
    ( spl0_151
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f3562,f1648,f1503]) ).

fof(f1503,plain,
    ( spl0_151
  <=> incident(b1,b2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3562,plain,
    ( incident(b1,b2c2)
    | ~ spl0_173 ),
    inference(resolution,[],[f2253,f144]) ).

fof(f144,plain,
    incident(c2,b2c2),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    incident(c2,b2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2b2) ).

fof(f2253,plain,
    ( ! [X1] :
        ( ~ incident(c2,X1)
        | incident(b1,X1) )
    | ~ spl0_173 ),
    inference(resolution,[],[f1650,f108]) ).

fof(f1650,plain,
    ( point_equal(b1,c2)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f3551,plain,
    ( spl0_189
    | ~ spl0_182
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2050,f1018,f1743,f1810]) ).

fof(f2050,plain,
    ( ~ incident(o,a2b2)
    | point_equal(b2,o)
    | ~ spl0_112 ),
    inference(resolution,[],[f1019,f100]) ).

fof(f3550,plain,
    ( spl0_3
    | ~ spl0_189
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f3542,f2183,f1810,f157]) ).

fof(f3542,plain,
    ( point_equal(b2,b1)
    | ~ spl0_189
    | ~ spl0_222 ),
    inference(resolution,[],[f2107,f2185]) ).

fof(f2107,plain,
    ( ! [X0] :
        ( ~ point_equal(o,X0)
        | point_equal(b2,X0) )
    | ~ spl0_189 ),
    inference(resolution,[],[f1812,f132]) ).

fof(f3523,plain,
    ( spl0_170
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f3507,f2230,f641,f407,f1615]) ).

fof(f407,plain,
    ( spl0_28
  <=> incident(a2,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f641,plain,
    ( spl0_52
  <=> ! [X3] :
        ( ~ incident(X3,ob)
        | point_equal(b1,X3)
        | ~ incident(X3,a2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3507,plain,
    ( ~ incident(a2,a2c2)
    | point_equal(b1,a2)
    | ~ spl0_52
    | ~ spl0_227 ),
    inference(resolution,[],[f2231,f642]) ).

fof(f642,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | point_equal(b1,X3)
        | ~ incident(X3,a2c2) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f2231,plain,
    ( incident(a2,ob)
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f2230]) ).

fof(f3472,plain,
    ( spl0_170
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f3471,f3331,f1615]) ).

fof(f3331,plain,
    ( spl0_294
  <=> point_equal(a2,b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f3471,plain,
    ( point_equal(b1,a2)
    | ~ spl0_294 ),
    inference(resolution,[],[f3333,f97]) ).

fof(f3333,plain,
    ( point_equal(a2,b1)
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f3331]) ).

fof(f3432,plain,
    ( spl0_10
    | ~ spl0_21
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f3300,f3192,f373,f190]) ).

fof(f3192,plain,
    ( spl0_292
  <=> ! [X0] :
        ( ~ incident(X0,a1b1)
        | ~ incident(X0,a2b2)
        | point_equal(a2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f3300,plain,
    ( ~ incident(a1,a2b2)
    | point_equal(a2,a1)
    | ~ spl0_292 ),
    inference(resolution,[],[f3193,f101]) ).

fof(f3193,plain,
    ( ! [X0] :
        ( ~ incident(X0,a1b1)
        | ~ incident(X0,a2b2)
        | point_equal(a2,X0) )
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f3192]) ).

fof(f3431,plain,
    ( ~ spl0_21
    | spl0_10
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1783,f860,f190,f373]) ).

fof(f1783,plain,
    ( point_equal(a2,a1)
    | ~ incident(a1,a2b2)
    | ~ spl0_87 ),
    inference(resolution,[],[f861,f134]) ).

fof(f3430,plain,
    ( spl0_21
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3425,f917,f373]) ).

fof(f917,plain,
    ( spl0_96
  <=> line_equal(oa,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3425,plain,
    ( incident(a1,a2b2)
    | ~ spl0_96 ),
    inference(resolution,[],[f919,f299]) ).

fof(f299,plain,
    ! [X7] :
      ( ~ line_equal(oa,X7)
      | incident(a1,X7) ),
    inference(resolution,[],[f131,f134]) ).

fof(f919,plain,
    ( line_equal(oa,a2b2)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f3428,plain,
    ( spl0_182
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3423,f917,f1743]) ).

fof(f3423,plain,
    ( incident(o,a2b2)
    | ~ spl0_96 ),
    inference(resolution,[],[f919,f320]) ).

fof(f320,plain,
    ! [X28] :
      ( ~ line_equal(oa,X28)
      | incident(o,X28) ),
    inference(resolution,[],[f131,f109]) ).

fof(f3401,plain,
    ( spl0_192
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f3400,f3132,f1846]) ).

fof(f3400,plain,
    ( point_equal(c1,a2)
    | ~ spl0_289 ),
    inference(resolution,[],[f3134,f97]) ).

fof(f3361,plain,
    ( spl0_23
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3357,f1352,f382]) ).

fof(f382,plain,
    ( spl0_23
  <=> incident(a1,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1352,plain,
    ( spl0_143
  <=> line_equal(oa,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3357,plain,
    ( incident(a1,b1c1)
    | ~ spl0_143 ),
    inference(resolution,[],[f1354,f299]) ).

fof(f1354,plain,
    ( line_equal(oa,b1c1)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f3354,plain,
    ( spl0_25
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3348,f1307,f394]) ).

fof(f394,plain,
    ( spl0_25
  <=> incident(a2,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1307,plain,
    ( spl0_141
  <=> line_equal(oa,oc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3348,plain,
    ( incident(a2,oc)
    | ~ spl0_141 ),
    inference(resolution,[],[f1309,f309]) ).

fof(f309,plain,
    ! [X17] :
      ( ~ line_equal(oa,X17)
      | incident(a2,X17) ),
    inference(resolution,[],[f131,f103]) ).

fof(f1309,plain,
    ( line_equal(oa,oc)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1307]) ).

fof(f3334,plain,
    ( spl0_294
    | ~ spl0_24
    | ~ spl0_85
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f3324,f2179,f852,f386,f3331]) ).

fof(f386,plain,
    ( spl0_24
  <=> incident(b1,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f3324,plain,
    ( ~ incident(b1,b1c1)
    | point_equal(a2,b1)
    | ~ spl0_85
    | ~ spl0_221 ),
    inference(resolution,[],[f2180,f853]) ).

fof(f3219,plain,
    ( spl0_221
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f3214,f605,f2179]) ).

fof(f605,plain,
    ( spl0_46
  <=> line_equal(a1b1,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3214,plain,
    ( incident(b1,oa)
    | ~ spl0_46 ),
    inference(resolution,[],[f607,f303]) ).

fof(f607,plain,
    ( line_equal(a1b1,oa)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f3202,plain,
    ( spl0_160
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f3197,f593,f1556]) ).

fof(f593,plain,
    ( spl0_44
  <=> line_equal(oa,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3197,plain,
    ( incident(o,a1b1)
    | ~ spl0_44 ),
    inference(resolution,[],[f595,f320]) ).

fof(f595,plain,
    ( line_equal(oa,a1b1)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f3194,plain,
    ( spl0_292
    | spl0_8
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3169,f993,f179,f3192]) ).

fof(f179,plain,
    ( spl0_8
  <=> line_equal(a1b1,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f993,plain,
    ( spl0_109
  <=> incident(a2,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3169,plain,
    ( ! [X0] :
        ( line_equal(a1b1,a2b2)
        | ~ incident(X0,a1b1)
        | point_equal(a2,X0)
        | ~ incident(X0,a2b2) )
    | ~ spl0_109 ),
    inference(resolution,[],[f994,f481]) ).

fof(f481,plain,
    ! [X38,X39] :
      ( ~ incident(a2,X38)
      | ~ incident(X39,X38)
      | ~ incident(X39,a2b2)
      | line_equal(X38,a2b2)
      | point_equal(a2,X39) ),
    inference(resolution,[],[f130,f146]) ).

fof(f994,plain,
    ( incident(a2,a1b1)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f3190,plain,
    ( spl0_291
    | ~ spl0_193
    | ~ spl0_41
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3172,f993,f574,f1850,f3187]) ).

fof(f574,plain,
    ( spl0_41
  <=> ! [X1] :
        ( ~ incident(X1,a2b2)
        | point_equal(ab,X1)
        | ~ incident(X1,a1b1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3172,plain,
    ( ~ incident(a2,a2b2)
    | point_equal(ab,a2)
    | ~ spl0_41
    | ~ spl0_109 ),
    inference(resolution,[],[f994,f575]) ).

fof(f575,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1b1)
        | ~ incident(X1,a2b2)
        | point_equal(ab,X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f3185,plain,
    ( spl0_290
    | spl0_53
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3170,f993,f645,f3183]) ).

fof(f645,plain,
    ( spl0_53
  <=> line_equal(a1b1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3170,plain,
    ( ! [X1] :
        ( line_equal(a1b1,a2c2)
        | ~ incident(X1,a1b1)
        | point_equal(a2,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_109 ),
    inference(resolution,[],[f994,f480]) ).

fof(f480,plain,
    ! [X36,X37] :
      ( ~ incident(a2,X36)
      | point_equal(a2,X37)
      | line_equal(X36,a2c2)
      | ~ incident(X37,a2c2)
      | ~ incident(X37,X36) ),
    inference(resolution,[],[f130,f105]) ).

fof(f3127,plain,
    ( spl0_171
    | ~ spl0_11
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f2463,f2360,f195,f1639]) ).

fof(f1639,plain,
    ( spl0_171
  <=> point_equal(a1,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f195,plain,
    ( spl0_11
  <=> incident(c2,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2360,plain,
    ( spl0_241
  <=> ! [X3] :
        ( ~ incident(X3,oc)
        | point_equal(a1,X3)
        | ~ incident(X3,a1b1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f2463,plain,
    ( ~ incident(c2,a1b1)
    | point_equal(a1,c2)
    | ~ spl0_241 ),
    inference(resolution,[],[f2361,f120]) ).

fof(f2361,plain,
    ( ! [X3] :
        ( ~ incident(X3,oc)
        | point_equal(a1,X3)
        | ~ incident(X3,a1b1) )
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f2360]) ).

fof(f3124,plain,
    ( ~ spl0_191
    | spl0_171
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f2500,f2440,f1639,f1823]) ).

fof(f2440,plain,
    ( spl0_251
  <=> ! [X0] :
        ( ~ incident(X0,b2c2)
        | point_equal(a1,X0)
        | ~ incident(X0,oc) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f2500,plain,
    ( point_equal(a1,c2)
    | ~ incident(c2,b2c2)
    | ~ spl0_251 ),
    inference(resolution,[],[f2441,f120]) ).

fof(f2441,plain,
    ( ! [X0] :
        ( ~ incident(X0,oc)
        | ~ incident(X0,b2c2)
        | point_equal(a1,X0) )
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f2440]) ).

fof(f3122,plain,
    ( spl0_20
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3120,f1639,f368]) ).

fof(f3120,plain,
    ( incident(a1,oc)
    | ~ spl0_171 ),
    inference(resolution,[],[f2089,f120]) ).

fof(f2089,plain,
    ( ! [X1] :
        ( ~ incident(c2,X1)
        | incident(a1,X1) )
    | ~ spl0_171 ),
    inference(resolution,[],[f1641,f108]) ).

fof(f1641,plain,
    ( point_equal(a1,c2)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f3121,plain,
    ( spl0_155
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3118,f1639,f1524]) ).

fof(f3118,plain,
    ( incident(a1,a2c2)
    | ~ spl0_171 ),
    inference(resolution,[],[f2089,f125]) ).

fof(f3109,plain,
    ( spl0_3
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f3108,f1726,f157]) ).

fof(f1726,plain,
    ( spl0_180
  <=> point_equal(b1,b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f3108,plain,
    ( point_equal(b2,b1)
    | ~ spl0_180 ),
    inference(resolution,[],[f1728,f97]) ).

fof(f1728,plain,
    ( point_equal(b1,b2)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1726]) ).

fof(f2996,plain,
    ( ~ spl0_144
    | ~ spl0_145
    | ~ spl0_2
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2784,f2171,f153,f1473,f1469]) ).

fof(f1469,plain,
    ( spl0_144
  <=> incident(b1,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f153,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ incident(b1,X0)
        | ~ incident(a1,X0)
        | ~ incident(c1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2784,plain,
    ( ~ incident(a1,ob)
    | ~ incident(b1,ob)
    | ~ spl0_2
    | ~ spl0_220 ),
    inference(resolution,[],[f2172,f154]) ).

fof(f154,plain,
    ( ! [X0] :
        ( ~ incident(c1,X0)
        | ~ incident(a1,X0)
        | ~ incident(b1,X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f2172,plain,
    ( incident(c1,ob)
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f2171]) ).

fof(f2995,plain,
    spl0_144,
    inference(avatar_contradiction_clause,[],[f2994]) ).

fof(f2994,plain,
    ( $false
    | spl0_144 ),
    inference(resolution,[],[f1471,f127]) ).

fof(f1471,plain,
    ( ~ incident(b1,ob)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1469]) ).

fof(f2989,plain,
    ( spl0_15
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f2988,f2911,f214]) ).

fof(f2988,plain,
    ( point_equal(c2,c1)
    | ~ spl0_277 ),
    inference(resolution,[],[f2913,f97]) ).

fof(f2913,plain,
    ( point_equal(c1,c2)
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f2911]) ).

fof(f2982,plain,
    spl0_268,
    inference(avatar_contradiction_clause,[],[f2981]) ).

fof(f2981,plain,
    ( $false
    | spl0_268 ),
    inference(resolution,[],[f2749,f126]) ).

fof(f2749,plain,
    ( ~ incident(c1,b1c1)
    | spl0_268 ),
    inference(avatar_component_clause,[],[f2747]) ).

fof(f2958,plain,
    spl0_262,
    inference(avatar_contradiction_clause,[],[f2957]) ).

fof(f2957,plain,
    ( $false
    | spl0_262 ),
    inference(resolution,[],[f2678,f109]) ).

fof(f2678,plain,
    ( ~ incident(o,oa)
    | spl0_262 ),
    inference(avatar_component_clause,[],[f2676]) ).

fof(f2676,plain,
    ( spl0_262
  <=> incident(o,oa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f2950,plain,
    ( spl0_219
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2949,f1747,f2167]) ).

fof(f2949,plain,
    ( point_equal(o,c1)
    | ~ spl0_183 ),
    inference(resolution,[],[f1749,f97]) ).

fof(f2914,plain,
    ( ~ spl0_178
    | spl0_277
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2908,f794,f2911,f1714]) ).

fof(f1714,plain,
    ( spl0_178
  <=> incident(c2,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f794,plain,
    ( spl0_78
  <=> ! [X2] :
        ( ~ incident(X2,b1c1)
        | point_equal(c1,X2)
        | ~ incident(X2,oc) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2908,plain,
    ( point_equal(c1,c2)
    | ~ incident(c2,b1c1)
    | ~ spl0_78 ),
    inference(resolution,[],[f795,f120]) ).

fof(f795,plain,
    ( ! [X2] :
        ( ~ incident(X2,oc)
        | ~ incident(X2,b1c1)
        | point_equal(c1,X2) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f2863,plain,
    ( spl0_222
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2862,f1585,f2183]) ).

fof(f1585,plain,
    ( spl0_165
  <=> point_equal(b1,o) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2862,plain,
    ( point_equal(o,b1)
    | ~ spl0_165 ),
    inference(resolution,[],[f1587,f97]) ).

fof(f1587,plain,
    ( point_equal(b1,o)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f2815,plain,
    ( spl0_183
    | ~ spl0_181
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1776,f794,f1731,f1747]) ).

fof(f1776,plain,
    ( ~ incident(o,b1c1)
    | point_equal(c1,o)
    | ~ spl0_78 ),
    inference(resolution,[],[f795,f112]) ).

fof(f2811,plain,
    ( spl0_271
    | ~ spl0_181
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1782,f852,f1731,f2808]) ).

fof(f1782,plain,
    ( ~ incident(o,b1c1)
    | point_equal(a2,o)
    | ~ spl0_85 ),
    inference(resolution,[],[f853,f109]) ).

fof(f2805,plain,
    ( spl0_179
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2801,f687,f1722]) ).

fof(f687,plain,
    ( spl0_60
  <=> line_equal(ob,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2801,plain,
    ( incident(b2,b1c1)
    | ~ spl0_60 ),
    inference(resolution,[],[f689,f315]) ).

fof(f315,plain,
    ! [X23] :
      ( ~ line_equal(ob,X23)
      | incident(b2,X23) ),
    inference(resolution,[],[f131,f139]) ).

fof(f689,plain,
    ( line_equal(ob,b1c1)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f2679,plain,
    ( ~ spl0_262
    | spl0_159
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f2469,f2368,f1552,f2676]) ).

fof(f2469,plain,
    ( point_equal(a1,o)
    | ~ incident(o,oa)
    | ~ spl0_243 ),
    inference(resolution,[],[f2369,f112]) ).

fof(f2369,plain,
    ( ! [X2] :
        ( ~ incident(X2,oc)
        | ~ incident(X2,oa)
        | point_equal(a1,X2) )
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f2674,plain,
    ( spl0_20
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2672,f1552,f368]) ).

fof(f2672,plain,
    ( incident(a1,oc)
    | ~ spl0_159 ),
    inference(resolution,[],[f2008,f112]) ).

fof(f2008,plain,
    ( ! [X1] :
        ( ~ incident(o,X1)
        | incident(a1,X1) )
    | ~ spl0_159 ),
    inference(resolution,[],[f1554,f108]) ).

fof(f1554,plain,
    ( point_equal(a1,o)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f2673,plain,
    ( spl0_145
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2671,f1552,f1473]) ).

fof(f2671,plain,
    ( incident(a1,ob)
    | ~ spl0_159 ),
    inference(resolution,[],[f2008,f100]) ).

fof(f2614,plain,
    ( spl0_36
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2612,f1499,f444]) ).

fof(f444,plain,
    ( spl0_36
  <=> incident(bc,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1499,plain,
    ( spl0_150
  <=> point_equal(bc,b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2612,plain,
    ( incident(bc,a1b1)
    | ~ spl0_150 ),
    inference(resolution,[],[f1987,f142]) ).

fof(f1987,plain,
    ( ! [X1] :
        ( ~ incident(b1,X1)
        | incident(bc,X1) )
    | ~ spl0_150 ),
    inference(resolution,[],[f1501,f108]) ).

fof(f1501,plain,
    ( point_equal(bc,b1)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f2588,plain,
    spl0_228,
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2587,plain,
    ( $false
    | spl0_228 ),
    inference(resolution,[],[f2236,f139]) ).

fof(f2236,plain,
    ( ~ incident(b2,ob)
    | spl0_228 ),
    inference(avatar_component_clause,[],[f2234]) ).

fof(f2234,plain,
    ( spl0_228
  <=> incident(b2,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f2442,plain,
    ( spl0_128
    | spl0_251
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f2335,f368,f166,f2440,f1167]) ).

fof(f2335,plain,
    ( ! [X0] :
        ( ~ incident(X0,b2c2)
        | line_equal(oc,b2c2)
        | ~ incident(X0,oc)
        | point_equal(a1,X0) )
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(resolution,[],[f369,f1256]) ).

fof(f1256,plain,
    ( ! [X3,X4] :
        ( ~ incident(a1,X3)
        | ~ incident(X4,b2c2)
        | point_equal(a1,X4)
        | ~ incident(X4,X3)
        | line_equal(X3,b2c2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f167,f130]) ).

fof(f167,plain,
    ( incident(a1,b2c2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f2409,plain,
    ( spl0_148
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2406,f1167,f1490]) ).

fof(f2406,plain,
    ( incident(c1,b2c2)
    | ~ spl0_128 ),
    inference(resolution,[],[f1169,f308]) ).

fof(f2393,plain,
    ( ~ spl0_199
    | spl0_245
    | ~ spl0_26
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2374,f747,f398,f2390,f1915]) ).

fof(f2374,plain,
    ( point_equal(c1,b2)
    | ~ incident(b2,a2b2)
    | ~ spl0_26
    | ~ spl0_70 ),
    inference(resolution,[],[f399,f748]) ).

fof(f748,plain,
    ( ! [X3] :
        ( ~ incident(X3,oc)
        | ~ incident(X3,a2b2)
        | point_equal(c1,X3) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f2366,plain,
    ( spl0_241
    | spl0_242
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f2338,f368,f2363,f2360]) ).

fof(f2338,plain,
    ( ! [X3] :
        ( line_equal(oc,a1b1)
        | ~ incident(X3,oc)
        | ~ incident(X3,a1b1)
        | point_equal(a1,X3) )
    | ~ spl0_20 ),
    inference(resolution,[],[f369,f468]) ).

fof(f468,plain,
    ! [X12,X13] :
      ( ~ incident(a1,X12)
      | ~ incident(X13,X12)
      | point_equal(a1,X13)
      | ~ incident(X13,a1b1)
      | line_equal(X12,a1b1) ),
    inference(resolution,[],[f130,f101]) ).

fof(f2354,plain,
    ( ~ spl0_17
    | spl0_239
    | ~ spl0_20
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2341,f811,f368,f2351,f355]) ).

fof(f355,plain,
    ( spl0_17
  <=> incident(a1,a1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f811,plain,
    ( spl0_81
  <=> ! [X2] :
        ( ~ incident(X2,oc)
        | point_equal(c1,X2)
        | ~ incident(X2,a1c1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2341,plain,
    ( point_equal(c1,a1)
    | ~ incident(a1,a1c1)
    | ~ spl0_20
    | ~ spl0_81 ),
    inference(resolution,[],[f369,f812]) ).

fof(f812,plain,
    ( ! [X2] :
        ( ~ incident(X2,oc)
        | ~ incident(X2,a1c1)
        | point_equal(c1,X2) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f2334,plain,
    ( spl0_218
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2333,f2095,f2162]) ).

fof(f2333,plain,
    ( point_equal(o,c2)
    | ~ spl0_212 ),
    inference(resolution,[],[f2097,f97]) ).

fof(f2097,plain,
    ( point_equal(c2,o)
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f2095]) ).

fof(f2237,plain,
    ( ~ spl0_227
    | ~ spl0_228
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2214,f1040,f204,f2234,f2230]) ).

fof(f1040,plain,
    ( spl0_116
  <=> line_equal(b2c2,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2214,plain,
    ( ~ incident(b2,ob)
    | ~ incident(a2,ob)
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(resolution,[],[f1972,f205]) ).

fof(f1972,plain,
    ( incident(c2,ob)
    | ~ spl0_116 ),
    inference(resolution,[],[f1042,f318]) ).

fof(f318,plain,
    ! [X26] :
      ( ~ line_equal(b2c2,X26)
      | incident(c2,X26) ),
    inference(resolution,[],[f131,f144]) ).

fof(f1042,plain,
    ( line_equal(b2c2,ob)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f2153,plain,
    ( spl0_165
    | ~ spl0_160
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2152,f709,f1556,f1585]) ).

fof(f709,plain,
    ( spl0_64
  <=> ! [X3] :
        ( point_equal(b1,X3)
        | ~ incident(X3,ob)
        | ~ incident(X3,a1b1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2152,plain,
    ( ~ incident(o,a1b1)
    | point_equal(b1,o)
    | ~ spl0_64 ),
    inference(resolution,[],[f710,f100]) ).

fof(f710,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | ~ incident(X3,a1b1)
        | point_equal(b1,X3) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f2144,plain,
    spl0_199,
    inference(avatar_contradiction_clause,[],[f2143]) ).

fof(f2143,plain,
    ( $false
    | spl0_199 ),
    inference(resolution,[],[f1917,f115]) ).

fof(f1917,plain,
    ( ~ incident(b2,a2b2)
    | spl0_199 ),
    inference(avatar_component_clause,[],[f1915]) ).

fof(f2137,plain,
    spl0_193,
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2136,plain,
    ( $false
    | spl0_193 ),
    inference(resolution,[],[f1852,f146]) ).

fof(f1852,plain,
    ( ~ incident(a2,a2b2)
    | spl0_193 ),
    inference(avatar_component_clause,[],[f1850]) ).

fof(f2084,plain,
    ( spl0_109
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2080,f593,f993]) ).

fof(f2080,plain,
    ( incident(a2,a1b1)
    | ~ spl0_44 ),
    inference(resolution,[],[f595,f309]) ).

fof(f2032,plain,
    spl0_29,
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | spl0_29 ),
    inference(resolution,[],[f414,f99]) ).

fof(f414,plain,
    ( ~ incident(b2,b2c2)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f2020,plain,
    ( ~ spl0_151
    | spl0_205
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2013,f968,f2017,f1503]) ).

fof(f968,plain,
    ( spl0_104
  <=> ! [X2] :
        ( ~ incident(X2,a1b1)
        | point_equal(a1,X2)
        | ~ incident(X2,b2c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2013,plain,
    ( point_equal(a1,b1)
    | ~ incident(b1,b2c2)
    | ~ spl0_104 ),
    inference(resolution,[],[f969,f142]) ).

fof(f969,plain,
    ( ! [X2] :
        ( ~ incident(X2,a1b1)
        | ~ incident(X2,b2c2)
        | point_equal(a1,X2) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f1983,plain,
    ( spl0_151
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1980,f941,f1503]) ).

fof(f1980,plain,
    ( incident(b1,b2c2)
    | ~ spl0_99 ),
    inference(resolution,[],[f943,f304]) ).

fof(f304,plain,
    ! [X12] :
      ( ~ line_equal(ob,X12)
      | incident(b1,X12) ),
    inference(resolution,[],[f131,f127]) ).

fof(f1966,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1255,f166,f968,f964]) ).

fof(f964,plain,
    ( spl0_103
  <=> line_equal(b2c2,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1255,plain,
    ( ! [X2] :
        ( ~ incident(X2,a1b1)
        | ~ incident(X2,b2c2)
        | line_equal(b2c2,a1b1)
        | point_equal(a1,X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f167,f468]) ).

fof(f1955,plain,
    ( spl0_145
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1951,f728,f1473]) ).

fof(f728,plain,
    ( spl0_67
  <=> line_equal(a1b1,ob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1951,plain,
    ( incident(a1,ob)
    | ~ spl0_67 ),
    inference(resolution,[],[f730,f298]) ).

fof(f298,plain,
    ! [X6] :
      ( ~ line_equal(a1b1,X6)
      | incident(a1,X6) ),
    inference(resolution,[],[f131,f101]) ).

fof(f730,plain,
    ( line_equal(a1b1,ob)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f1948,plain,
    ( spl0_160
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1943,f705,f1556]) ).

fof(f705,plain,
    ( spl0_63
  <=> line_equal(ob,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1943,plain,
    ( incident(o,a1b1)
    | ~ spl0_63 ),
    inference(resolution,[],[f707,f319]) ).

fof(f707,plain,
    ( line_equal(ob,a1b1)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1936,plain,
    ( spl0_178
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1930,f674,f1714]) ).

fof(f1930,plain,
    ( incident(c2,b1c1)
    | ~ spl0_57 ),
    inference(resolution,[],[f676,f317]) ).

fof(f317,plain,
    ! [X25] :
      ( ~ line_equal(a2c2,X25)
      | incident(c2,X25) ),
    inference(resolution,[],[f131,f125]) ).

fof(f676,plain,
    ( line_equal(a2c2,b1c1)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f1935,plain,
    ( spl0_55
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1934,f674,f653]) ).

fof(f653,plain,
    ( spl0_55
  <=> line_equal(b1c1,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1934,plain,
    ( line_equal(b1c1,a2c2)
    | ~ spl0_57 ),
    inference(resolution,[],[f676,f136]) ).

fof(f1913,plain,
    ( spl0_8
    | spl0_198
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1901,f997,f1911,f179]) ).

fof(f997,plain,
    ( spl0_110
  <=> incident(b2,a1b1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1901,plain,
    ( ! [X1] :
        ( point_equal(b2,X1)
        | line_equal(a1b1,a2b2)
        | ~ incident(X1,a1b1)
        | ~ incident(X1,a2b2) )
    | ~ spl0_110 ),
    inference(resolution,[],[f998,f483]) ).

fof(f998,plain,
    ( incident(b2,a1b1)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1861,plain,
    ( ~ spl0_151
    | spl0_3
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1806,f945,f157,f1503]) ).

fof(f1806,plain,
    ( point_equal(b2,b1)
    | ~ incident(b1,b2c2)
    | ~ spl0_100 ),
    inference(resolution,[],[f946,f127]) ).

fof(f1859,plain,
    ( spl0_168
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1856,f653,f1606]) ).

fof(f1856,plain,
    ( incident(bc,a2c2)
    | ~ spl0_55 ),
    inference(resolution,[],[f655,f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ line_equal(b1c1,X0)
      | incident(bc,X0) ),
    inference(resolution,[],[f131,f121]) ).

fof(f121,plain,
    incident(bc,b1c1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    incident(bc,b1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc1) ).

fof(f655,plain,
    ( line_equal(b1c1,a2c2)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1828,plain,
    spl0_191,
    inference(avatar_contradiction_clause,[],[f1827]) ).

fof(f1827,plain,
    ( $false
    | spl0_191 ),
    inference(resolution,[],[f1825,f144]) ).

fof(f1825,plain,
    ( ~ incident(c2,b2c2)
    | spl0_191 ),
    inference(avatar_component_clause,[],[f1823]) ).

fof(f1826,plain,
    ( spl0_171
    | ~ spl0_191
    | ~ spl0_11
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1821,f968,f195,f1823,f1639]) ).

fof(f1821,plain,
    ( ~ incident(c2,b2c2)
    | point_equal(a1,c2)
    | ~ spl0_11
    | ~ spl0_104 ),
    inference(resolution,[],[f969,f196]) ).

fof(f196,plain,
    ( incident(c2,a1b1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f1817,plain,
    ( spl0_189
    | ~ spl0_190
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1808,f945,f1814,f1810]) ).

fof(f1808,plain,
    ( ~ incident(o,b2c2)
    | point_equal(b2,o)
    | ~ spl0_100 ),
    inference(resolution,[],[f946,f100]) ).

fof(f1750,plain,
    ( ~ spl0_182
    | spl0_183
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1741,f747,f1747,f1743]) ).

fof(f1741,plain,
    ( point_equal(c1,o)
    | ~ incident(o,a2b2)
    | ~ spl0_70 ),
    inference(resolution,[],[f748,f112]) ).

fof(f1738,plain,
    ( spl0_180
    | ~ spl0_110
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1736,f709,f997,f1726]) ).

fof(f1736,plain,
    ( ~ incident(b2,a1b1)
    | point_equal(b1,b2)
    | ~ spl0_64 ),
    inference(resolution,[],[f710,f139]) ).

fof(f1734,plain,
    ( spl0_165
    | ~ spl0_181
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1720,f691,f1731,f1585]) ).

fof(f691,plain,
    ( spl0_61
  <=> ! [X3] :
        ( ~ incident(X3,ob)
        | ~ incident(X3,b1c1)
        | point_equal(b1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1720,plain,
    ( ~ incident(o,b1c1)
    | point_equal(b1,o)
    | ~ spl0_61 ),
    inference(resolution,[],[f692,f100]) ).

fof(f692,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | point_equal(b1,X3)
        | ~ incident(X3,b1c1) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f1729,plain,
    ( ~ spl0_179
    | spl0_180
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1719,f691,f1726,f1722]) ).

fof(f1719,plain,
    ( point_equal(b1,b2)
    | ~ incident(b2,b1c1)
    | ~ spl0_61 ),
    inference(resolution,[],[f692,f139]) ).

fof(f1703,plain,
    spl0_174,
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1702,plain,
    ( $false
    | spl0_174 ),
    inference(resolution,[],[f1654,f125]) ).

fof(f1654,plain,
    ( ~ incident(c2,a2c2)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f1672,plain,
    ( spl0_7
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1665,f645,f174]) ).

fof(f1665,plain,
    ( incident(b1,a2c2)
    | ~ spl0_53 ),
    inference(resolution,[],[f647,f303]) ).

fof(f647,plain,
    ( line_equal(a1b1,a2c2)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f1618,plain,
    ( ~ spl0_28
    | spl0_170
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1604,f657,f185,f1615,f407]) ).

fof(f185,plain,
    ( spl0_9
  <=> incident(a2,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1604,plain,
    ( point_equal(b1,a2)
    | ~ incident(a2,a2c2)
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(resolution,[],[f658,f187]) ).

fof(f187,plain,
    ( incident(a2,b1c1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f658,plain,
    ( ! [X1] :
        ( ~ incident(X1,b1c1)
        | point_equal(b1,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1576,plain,
    ( ~ spl0_163
    | spl0_159
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1562,f614,f1552,f1573]) ).

fof(f1562,plain,
    ( point_equal(a1,o)
    | ~ incident(o,a1c1)
    | ~ spl0_48 ),
    inference(resolution,[],[f615,f109]) ).

fof(f1527,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1508,f555,f1524,f1520]) ).

fof(f555,plain,
    ( spl0_40
  <=> ! [X1] :
        ( ~ incident(X1,a2c2)
        | ~ incident(X1,a1c1)
        | point_equal(ac,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1508,plain,
    ( ~ incident(a1,a2c2)
    | point_equal(ac,a1)
    | ~ spl0_40 ),
    inference(resolution,[],[f556,f140]) ).

fof(f556,plain,
    ( ! [X1] :
        ( ~ incident(X1,a1c1)
        | point_equal(ac,X1)
        | ~ incident(X1,a2c2) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1506,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1486,f534,f1503,f1499]) ).

fof(f1486,plain,
    ( ~ incident(b1,b2c2)
    | point_equal(bc,b1)
    | ~ spl0_38 ),
    inference(resolution,[],[f535,f141]) ).

fof(f1459,plain,
    ( spl0_141
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1458,f1201,f1307]) ).

fof(f1458,plain,
    ( line_equal(oa,oc)
    | ~ spl0_134 ),
    inference(resolution,[],[f1203,f136]) ).

fof(f1440,plain,
    ( spl0_125
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1438,f1089,f1150]) ).

fof(f1438,plain,
    ( line_equal(oc,a2c2)
    | ~ spl0_121 ),
    inference(resolution,[],[f1091,f136]) ).

fof(f1091,plain,
    ( line_equal(a2c2,oc)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1439,plain,
    ( spl0_25
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1435,f1089,f394]) ).

fof(f1435,plain,
    ( incident(a2,oc)
    | ~ spl0_121 ),
    inference(resolution,[],[f1091,f310]) ).

fof(f310,plain,
    ! [X18] :
      ( ~ line_equal(a2c2,X18)
      | incident(a2,X18) ),
    inference(resolution,[],[f131,f105]) ).

fof(f1432,plain,
    ( spl0_20
    | ~ spl0_5
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1424,f1073,f166,f368]) ).

fof(f1424,plain,
    ( incident(a1,oc)
    | ~ spl0_5
    | ~ spl0_117 ),
    inference(resolution,[],[f1075,f1257]) ).

fof(f1257,plain,
    ( ! [X5] :
        ( ~ line_equal(b2c2,X5)
        | incident(a1,X5) )
    | ~ spl0_5 ),
    inference(resolution,[],[f167,f131]) ).

fof(f1075,plain,
    ( line_equal(b2c2,oc)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1431,plain,
    ( spl0_26
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1426,f1073,f398]) ).

fof(f1426,plain,
    ( incident(b2,oc)
    | ~ spl0_117 ),
    inference(resolution,[],[f1075,f312]) ).

fof(f312,plain,
    ! [X20] :
      ( ~ line_equal(b2c2,X20)
      | incident(b2,X20) ),
    inference(resolution,[],[f131,f99]) ).

fof(f1418,plain,
    ( spl0_22
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1414,f1014,f377]) ).

fof(f1414,plain,
    ( incident(b1,a2b2)
    | ~ spl0_111 ),
    inference(resolution,[],[f1016,f304]) ).

fof(f1402,plain,
    ( spl0_110
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1397,f964,f997]) ).

fof(f1397,plain,
    ( incident(b2,a1b1)
    | ~ spl0_103 ),
    inference(resolution,[],[f966,f312]) ).

fof(f966,plain,
    ( line_equal(b2c2,a1b1)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f1381,plain,
    ( spl0_27
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1376,f900,f403]) ).

fof(f900,plain,
    ( spl0_93
  <=> line_equal(a2b2,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1376,plain,
    ( incident(b2,a2c2)
    | ~ spl0_93 ),
    inference(resolution,[],[f902,f313]) ).

fof(f313,plain,
    ! [X21] :
      ( ~ line_equal(a2b2,X21)
      | incident(b2,X21) ),
    inference(resolution,[],[f131,f115]) ).

fof(f902,plain,
    ( line_equal(a2b2,a2c2)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f1355,plain,
    ( spl0_143
    | spl0_85
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1349,f185,f852,f1352]) ).

fof(f1349,plain,
    ( ! [X3] :
        ( point_equal(a2,X3)
        | line_equal(oa,b1c1)
        | ~ incident(X3,oa)
        | ~ incident(X3,b1c1) )
    | ~ spl0_9 ),
    inference(resolution,[],[f1290,f103]) ).

fof(f1290,plain,
    ( ! [X3,X4] :
        ( ~ incident(a2,X3)
        | line_equal(X3,b1c1)
        | point_equal(a2,X4)
        | ~ incident(X4,b1c1)
        | ~ incident(X4,X3) )
    | ~ spl0_9 ),
    inference(resolution,[],[f187,f130]) ).

fof(f1317,plain,
    ( spl0_23
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1312,f782,f382]) ).

fof(f782,plain,
    ( spl0_75
  <=> line_equal(a1c1,b1c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1312,plain,
    ( incident(a1,b1c1)
    | ~ spl0_75 ),
    inference(resolution,[],[f784,f300]) ).

fof(f300,plain,
    ! [X8] :
      ( ~ line_equal(a1c1,X8)
      | incident(a1,X8) ),
    inference(resolution,[],[f131,f140]) ).

fof(f784,plain,
    ( line_equal(a1c1,b1c1)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f1233,plain,
    ( spl0_9
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1126,f674,f185]) ).

fof(f1126,plain,
    ( incident(a2,b1c1)
    | ~ spl0_57 ),
    inference(resolution,[],[f676,f310]) ).

fof(f1223,plain,
    ( spl0_6
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1215,f751,f170]) ).

fof(f1215,plain,
    ( incident(c1,a2b2)
    | ~ spl0_71 ),
    inference(resolution,[],[f753,f307]) ).

fof(f753,plain,
    ( line_equal(a1c1,a2b2)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1222,plain,
    ( spl0_31
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1217,f751,f423]) ).

fof(f423,plain,
    ( spl0_31
  <=> incident(ac,a2b2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1217,plain,
    ( incident(ac,a2b2)
    | ~ spl0_71 ),
    inference(resolution,[],[f753,f294]) ).

fof(f294,plain,
    ! [X2] :
      ( ~ line_equal(a1c1,X2)
      | incident(ac,X2) ),
    inference(resolution,[],[f131,f110]) ).

fof(f110,plain,
    incident(ac,a1c1),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    incident(ac,a1c1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac1) ).

fof(f1221,plain,
    ( spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1216,f751,f373]) ).

fof(f1216,plain,
    ( incident(a1,a2b2)
    | ~ spl0_71 ),
    inference(resolution,[],[f753,f300]) ).

fof(f1153,plain,
    ( spl0_125
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1147,f1093,f1150]) ).

fof(f1147,plain,
    ! [X2] :
      ( point_equal(c2,X2)
      | line_equal(oc,a2c2)
      | ~ incident(X2,oc)
      | ~ incident(X2,a2c2) ),
    inference(resolution,[],[f487,f120]) ).

fof(f487,plain,
    ! [X50,X51] :
      ( ~ incident(c2,X50)
      | point_equal(c2,X51)
      | line_equal(X50,a2c2)
      | ~ incident(X51,a2c2)
      | ~ incident(X51,X50) ),
    inference(resolution,[],[f130,f125]) ).

fof(f1143,plain,
    ( spl0_110
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1139,f705,f997]) ).

fof(f1139,plain,
    ( incident(b2,a1b1)
    | ~ spl0_63 ),
    inference(resolution,[],[f707,f315]) ).

fof(f1113,plain,
    ( spl0_55
    | spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1104,f185,f1111,f653]) ).

fof(f1104,plain,
    ( ! [X1] :
        ( ~ incident(X1,b1c1)
        | ~ incident(X1,a2c2)
        | line_equal(b1c1,a2c2)
        | point_equal(a2,X1) )
    | ~ spl0_9 ),
    inference(resolution,[],[f187,f480]) ).

fof(f1095,plain,
    ( spl0_121
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1068,f1093,f1089]) ).

fof(f1068,plain,
    ! [X1] :
      ( ~ incident(X1,oc)
      | line_equal(a2c2,oc)
      | ~ incident(X1,a2c2)
      | point_equal(c2,X1) ),
    inference(resolution,[],[f486,f125]) ).

fof(f486,plain,
    ! [X48,X49] :
      ( ~ incident(c2,X48)
      | point_equal(c2,X49)
      | ~ incident(X49,oc)
      | ~ incident(X49,X48)
      | line_equal(X48,oc) ),
    inference(resolution,[],[f130,f120]) ).

fof(f1079,plain,
    ( spl0_117
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1067,f1077,f1073]) ).

fof(f1067,plain,
    ! [X0] :
      ( ~ incident(X0,oc)
      | line_equal(b2c2,oc)
      | ~ incident(X0,b2c2)
      | point_equal(c2,X0) ),
    inference(resolution,[],[f486,f144]) ).

fof(f1057,plain,
    ( spl0_7
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1053,f653,f174]) ).

fof(f1053,plain,
    ( incident(b1,a2c2)
    | ~ spl0_55 ),
    inference(resolution,[],[f655,f302]) ).

fof(f1043,plain,
    ( spl0_100
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1021,f1040,f945]) ).

fof(f1021,plain,
    ! [X0] :
      ( line_equal(b2c2,ob)
      | ~ incident(X0,ob)
      | point_equal(b2,X0)
      | ~ incident(X0,b2c2) ),
    inference(resolution,[],[f485,f99]) ).

fof(f485,plain,
    ! [X46,X47] :
      ( ~ incident(b2,X46)
      | line_equal(X46,ob)
      | point_equal(b2,X47)
      | ~ incident(X47,X46)
      | ~ incident(X47,ob) ),
    inference(resolution,[],[f130,f139]) ).

fof(f1020,plain,
    ( spl0_111
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1011,f1018,f1014]) ).

fof(f1011,plain,
    ! [X3] :
      ( ~ incident(X3,a2b2)
      | line_equal(ob,a2b2)
      | point_equal(b2,X3)
      | ~ incident(X3,ob) ),
    inference(resolution,[],[f483,f139]) ).

fof(f1000,plain,
    ( ~ spl0_109
    | ~ spl0_110
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f987,f204,f195,f997,f993]) ).

fof(f987,plain,
    ( ~ incident(b2,a1b1)
    | ~ incident(a2,a1b1)
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f196,f205]) ).

fof(f947,plain,
    ( spl0_99
    | spl0_100 ),
    inference(avatar_split_clause,[],[f930,f945,f941]) ).

fof(f930,plain,
    ! [X3] :
      ( ~ incident(X3,ob)
      | ~ incident(X3,b2c2)
      | line_equal(ob,b2c2)
      | point_equal(b2,X3) ),
    inference(resolution,[],[f482,f139]) ).

fof(f920,plain,
    ( spl0_96
    | spl0_87 ),
    inference(avatar_split_clause,[],[f909,f860,f917]) ).

fof(f909,plain,
    ! [X2] :
      ( ~ incident(X2,oa)
      | point_equal(a2,X2)
      | ~ incident(X2,a2b2)
      | line_equal(oa,a2b2) ),
    inference(resolution,[],[f481,f103]) ).

fof(f906,plain,
    ( spl0_93
    | spl0_94 ),
    inference(avatar_split_clause,[],[f891,f904,f900]) ).

fof(f891,plain,
    ! [X1] :
      ( ~ incident(X1,a2c2)
      | point_equal(a2,X1)
      | line_equal(a2b2,a2c2)
      | ~ incident(X1,a2b2) ),
    inference(resolution,[],[f480,f146]) ).

fof(f898,plain,
    ( spl0_89
    | spl0_92 ),
    inference(avatar_split_clause,[],[f892,f895,f868]) ).

fof(f892,plain,
    ! [X2] :
      ( line_equal(oa,a2c2)
      | ~ incident(X2,a2c2)
      | ~ incident(X2,oa)
      | point_equal(a2,X2) ),
    inference(resolution,[],[f480,f103]) ).

fof(f841,plain,
    ( spl0_27
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f836,f637,f403]) ).

fof(f637,plain,
    ( spl0_51
  <=> line_equal(ob,a2c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f836,plain,
    ( incident(b2,a2c2)
    | ~ spl0_51 ),
    inference(resolution,[],[f639,f315]) ).

fof(f639,plain,
    ( line_equal(ob,a2c2)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f827,plain,
    ( spl0_83
    | spl0_78 ),
    inference(avatar_split_clause,[],[f814,f794,f824]) ).

fof(f814,plain,
    ! [X0] :
      ( ~ incident(X0,b1c1)
      | line_equal(b1c1,oc)
      | point_equal(c1,X0)
      | ~ incident(X0,oc) ),
    inference(resolution,[],[f478,f126]) ).

fof(f813,plain,
    ( spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f799,f811,f807]) ).

fof(f799,plain,
    ! [X2] :
      ( ~ incident(X2,oc)
      | line_equal(oc,a1c1)
      | ~ incident(X2,a1c1)
      | point_equal(c1,X2) ),
    inference(resolution,[],[f477,f113]) ).

fof(f477,plain,
    ! [X31,X30] :
      ( ~ incident(c1,X30)
      | ~ incident(X31,X30)
      | point_equal(c1,X31)
      | line_equal(X30,a1c1)
      | ~ incident(X31,a1c1) ),
    inference(resolution,[],[f130,f116]) ).

fof(f796,plain,
    ( spl0_77
    | spl0_78 ),
    inference(avatar_split_clause,[],[f779,f794,f790]) ).

fof(f779,plain,
    ! [X2] :
      ( ~ incident(X2,b1c1)
      | ~ incident(X2,oc)
      | line_equal(oc,b1c1)
      | point_equal(c1,X2) ),
    inference(resolution,[],[f476,f113]) ).

fof(f476,plain,
    ! [X28,X29] :
      ( ~ incident(c1,X28)
      | line_equal(X28,b1c1)
      | point_equal(c1,X29)
      | ~ incident(X29,X28)
      | ~ incident(X29,b1c1) ),
    inference(resolution,[],[f130,f126]) ).

fof(f788,plain,
    ( spl0_75
    | spl0_76 ),
    inference(avatar_split_clause,[],[f778,f786,f782]) ).

fof(f778,plain,
    ! [X1] :
      ( ~ incident(X1,b1c1)
      | point_equal(c1,X1)
      | ~ incident(X1,a1c1)
      | line_equal(a1c1,b1c1) ),
    inference(resolution,[],[f476,f116]) ).

fof(f731,plain,
    ( spl0_67
    | spl0_64 ),
    inference(avatar_split_clause,[],[f719,f709,f728]) ).

fof(f719,plain,
    ! [X2] :
      ( ~ incident(X2,a1b1)
      | ~ incident(X2,ob)
      | line_equal(a1b1,ob)
      | point_equal(b1,X2) ),
    inference(resolution,[],[f474,f142]) ).

fof(f474,plain,
    ! [X24,X25] :
      ( ~ incident(b1,X24)
      | point_equal(b1,X25)
      | line_equal(X24,ob)
      | ~ incident(X25,ob)
      | ~ incident(X25,X24) ),
    inference(resolution,[],[f130,f127]) ).

fof(f726,plain,
    ( spl0_66
    | spl0_61 ),
    inference(avatar_split_clause,[],[f718,f691,f723]) ).

fof(f718,plain,
    ! [X1] :
      ( ~ incident(X1,b1c1)
      | line_equal(b1c1,ob)
      | ~ incident(X1,ob)
      | point_equal(b1,X1) ),
    inference(resolution,[],[f474,f141]) ).

fof(f711,plain,
    ( spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f697,f709,f705]) ).

fof(f697,plain,
    ! [X3] :
      ( point_equal(b1,X3)
      | ~ incident(X3,a1b1)
      | ~ incident(X3,ob)
      | line_equal(ob,a1b1) ),
    inference(resolution,[],[f473,f127]) ).

fof(f473,plain,
    ! [X22,X23] :
      ( ~ incident(b1,X22)
      | line_equal(X22,a1b1)
      | point_equal(b1,X23)
      | ~ incident(X23,X22)
      | ~ incident(X23,a1b1) ),
    inference(resolution,[],[f130,f142]) ).

fof(f693,plain,
    ( spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f671,f691,f687]) ).

fof(f671,plain,
    ! [X3] :
      ( ~ incident(X3,ob)
      | line_equal(ob,b1c1)
      | point_equal(b1,X3)
      | ~ incident(X3,b1c1) ),
    inference(resolution,[],[f472,f127]) ).

fof(f643,plain,
    ( spl0_51
    | spl0_52
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f634,f174,f641,f637]) ).

fof(f634,plain,
    ( ! [X3] :
        ( ~ incident(X3,ob)
        | line_equal(ob,a2c2)
        | ~ incident(X3,a2c2)
        | point_equal(b1,X3) )
    | ~ spl0_7 ),
    inference(resolution,[],[f471,f127]) ).

fof(f471,plain,
    ( ! [X18,X19] :
        ( ~ incident(b1,X18)
        | point_equal(b1,X19)
        | ~ incident(X19,X18)
        | ~ incident(X19,a2c2)
        | line_equal(X18,a2c2) )
    | ~ spl0_7 ),
    inference(resolution,[],[f130,f175]) ).

fof(f616,plain,
    ( spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f602,f614,f610]) ).

fof(f602,plain,
    ! [X2] :
      ( ~ incident(X2,a1c1)
      | point_equal(a1,X2)
      | line_equal(a1c1,oa)
      | ~ incident(X2,oa) ),
    inference(resolution,[],[f469,f140]) ).

fof(f608,plain,
    ( spl0_46
    | spl0_45 ),
    inference(avatar_split_clause,[],[f600,f597,f605]) ).

fof(f600,plain,
    ! [X0] :
      ( ~ incident(X0,a1b1)
      | line_equal(a1b1,oa)
      | ~ incident(X0,oa)
      | point_equal(a1,X0) ),
    inference(resolution,[],[f469,f101]) ).

fof(f599,plain,
    ( spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f581,f597,f593]) ).

fof(f581,plain,
    ! [X1] :
      ( ~ incident(X1,a1b1)
      | ~ incident(X1,oa)
      | point_equal(a1,X1)
      | line_equal(oa,a1b1) ),
    inference(resolution,[],[f468,f134]) ).

fof(f576,plain,
    ( spl0_8
    | spl0_41 ),
    inference(avatar_split_clause,[],[f571,f574,f179]) ).

fof(f571,plain,
    ! [X1] :
      ( ~ incident(X1,a2b2)
      | line_equal(a1b1,a2b2)
      | ~ incident(X1,a1b1)
      | point_equal(ab,X1) ),
    inference(resolution,[],[f466,f111]) ).

fof(f466,plain,
    ! [X8,X9] :
      ( ~ incident(ab,X8)
      | point_equal(ab,X9)
      | ~ incident(X9,a2b2)
      | line_equal(X8,a2b2)
      | ~ incident(X9,X8) ),
    inference(resolution,[],[f130,f106]) ).

fof(f561,plain,
    ( spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f558,f555,f208]) ).

fof(f558,plain,
    ! [X0] :
      ( point_equal(ac,X0)
      | ~ incident(X0,a2c2)
      | ~ incident(X0,a1c1)
      | line_equal(a1c1,a2c2) ),
    inference(resolution,[],[f465,f110]) ).

fof(f465,plain,
    ! [X6,X7] :
      ( ~ incident(ac,X6)
      | point_equal(ac,X7)
      | line_equal(X6,a2c2)
      | ~ incident(X7,X6)
      | ~ incident(X7,a2c2) ),
    inference(resolution,[],[f130,f118]) ).

fof(f540,plain,
    ( spl0_16
    | spl0_38 ),
    inference(avatar_split_clause,[],[f537,f534,f220]) ).

fof(f537,plain,
    ! [X0] :
      ( point_equal(bc,X0)
      | line_equal(b1c1,b2c2)
      | ~ incident(X0,b2c2)
      | ~ incident(X0,b1c1) ),
    inference(resolution,[],[f463,f121]) ).

fof(f463,plain,
    ! [X2,X3] :
      ( ~ incident(bc,X2)
      | point_equal(bc,X3)
      | ~ incident(X3,X2)
      | line_equal(X2,b2c2)
      | ~ incident(X3,b2c2) ),
    inference(resolution,[],[f130,f145]) ).

fof(f145,plain,
    incident(bc,b2c2),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    incident(bc,b2c2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc2) ).

fof(f495,plain,
    spl0_28,
    inference(avatar_contradiction_clause,[],[f494]) ).

fof(f494,plain,
    ( $false
    | spl0_28 ),
    inference(resolution,[],[f409,f105]) ).

fof(f409,plain,
    ( ~ incident(a2,a2c2)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f493,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | spl0_24 ),
    inference(resolution,[],[f388,f141]) ).

fof(f388,plain,
    ( ~ incident(b1,b1c1)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f461,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f357,f140]) ).

fof(f357,plain,
    ( ~ incident(a1,a1c1)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f447,plain,
    ( ~ spl0_34
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f421,f162,f444,f440,f436]) ).

fof(f421,plain,
    ( ~ incident(bc,a1b1)
    | ~ line_equal(a1b1,a1b1)
    | ~ incident(ac,a1b1)
    | ~ spl0_4 ),
    inference(resolution,[],[f163,f111]) ).

fof(f434,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f420,f162,f431,f427,f423]) ).

fof(f420,plain,
    ( ~ incident(bc,a2b2)
    | ~ line_equal(a2b2,a2b2)
    | ~ incident(ac,a2b2)
    | ~ spl0_4 ),
    inference(resolution,[],[f163,f106]) ).

fof(f410,plain,
    ( ~ spl0_27
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f391,f204,f407,f403]) ).

fof(f391,plain,
    ( ~ incident(a2,a2c2)
    | ~ incident(b2,a2c2)
    | ~ spl0_13 ),
    inference(resolution,[],[f205,f125]) ).

fof(f401,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f390,f204,f398,f394]) ).

fof(f390,plain,
    ( ~ incident(b2,oc)
    | ~ incident(a2,oc)
    | ~ spl0_13 ),
    inference(resolution,[],[f205,f120]) ).

fof(f389,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f351,f153,f386,f382]) ).

fof(f351,plain,
    ( ~ incident(b1,b1c1)
    | ~ incident(a1,b1c1)
    | ~ spl0_2 ),
    inference(resolution,[],[f154,f126]) ).

fof(f380,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f350,f170,f153,f377,f373]) ).

fof(f350,plain,
    ( ~ incident(b1,a2b2)
    | ~ incident(a1,a2b2)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f154,f171]) ).

fof(f371,plain,
    ( ~ spl0_19
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f353,f153,f368,f364]) ).

fof(f353,plain,
    ( ~ incident(a1,oc)
    | ~ incident(b1,oc)
    | ~ spl0_2 ),
    inference(resolution,[],[f154,f113]) ).

fof(f223,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f135,f220,f149]) ).

fof(f149,plain,
    ( spl0_1
  <=> goal ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f135,plain,
    ( ~ line_equal(b1c1,b2c2)
    | goal ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ~ line_equal(b1c1,b2c2)
    | goal ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( line_equal(b1c1,b2c2)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbc) ).

fof(f218,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f119,f174,f195]) ).

fof(f119,plain,
    ( incident(b1,a2c2)
    | incident(c2,a1b1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( incident(c2,a1b1)
    | incident(b1,a2c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_b) ).

fof(f217,plain,
    ( spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f214,f149]) ).

fof(f98,plain,
    ( ~ point_equal(c2,c1)
    | goal ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( goal
    | ~ point_equal(c2,c1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ( point_equal(c2,c1)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notcc) ).

fof(f212,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f123,f166,f199]) ).

fof(f123,plain,
    ( incident(a1,b2c2)
    | incident(b2,a1c1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( incident(a1,b2c2)
    | incident(b2,a1c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_a) ).

fof(f211,plain,
    ( ~ spl0_14
    | spl0_1 ),
    inference(avatar_split_clause,[],[f117,f149,f208]) ).

fof(f117,plain,
    ( goal
    | ~ line_equal(a1c1,a2c2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( goal
    | ~ line_equal(a1c1,a2c2) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( line_equal(a1c1,a2c2)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notac) ).

fof(f206,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f122,f204,f149]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ incident(a2,X0)
      | ~ incident(b2,X0)
      | ~ incident(c2,X0)
      | goal ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ incident(c2,X0)
      | goal
      | ~ incident(a2,X0)
      | ~ incident(b2,X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( goal
      | ~ incident(b2,X0)
      | ~ incident(a2,X0)
      | ~ incident(c2,X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( ( incident(b2,X0)
        & incident(a2,X0)
        & incident(c2,X0) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle2) ).

fof(f202,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f114,f185,f149,f199,f195]) ).

fof(f114,plain,
    ( ~ incident(a2,b1c1)
    | goal
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( goal
    | ~ incident(c2,a1b1)
    | ~ incident(b2,a1c1)
    | ~ incident(a2,b1c1) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ( goal
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1)
    | ~ incident(a2,b1c1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( incident(b2,a1c1)
      & incident(c2,a1b1)
      & incident(a2,b1c1) )
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2in1) ).

fof(f193,plain,
    ( spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f137,f190,f149]) ).

fof(f137,plain,
    ( ~ point_equal(a2,a1)
    | goal ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ~ point_equal(a2,a1)
    | goal ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ( point_equal(a2,a1)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notaa) ).

fof(f188,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f133,f170,f185]) ).

fof(f133,plain,
    ( incident(c1,a2b2)
    | incident(a2,b1c1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( incident(a2,b1c1)
    | incident(c1,a2b2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_c) ).

fof(f183,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f147,f149]) ).

fof(f147,plain,
    ~ goal,
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ~ goal,
    inference(flattening,[],[f52]) ).

fof(f52,negated_conjecture,
    ~ goal,
    inference(negated_conjecture,[],[f51]) ).

fof(f51,conjecture,
    goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(f182,plain,
    ( spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f124,f179,f149]) ).

fof(f124,plain,
    ( ~ line_equal(a1b1,a2b2)
    | goal ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ~ line_equal(a1b1,a2b2)
    | goal ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( line_equal(a1b1,a2b2)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notab) ).

fof(f177,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f138,f174,f170,f166,f149]) ).

fof(f138,plain,
    ( ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2)
    | ~ incident(a1,b2c2)
    | goal ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2)
    | ~ incident(a1,b2c2)
    | goal ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ( goal
    | ~ incident(c1,a2b2)
    | ~ incident(a1,b2c2)
    | ~ incident(b1,a2c2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( incident(c1,a2b2)
      & incident(a1,b2c2)
      & incident(b1,a2c2) )
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1in2) ).

fof(f164,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f102,f162,f149]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ incident(ac,X0)
      | ~ line_equal(X0,X0)
      | ~ incident(bc,X0)
      | ~ incident(ab,X0)
      | goal ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ incident(bc,X0)
      | ~ incident(ab,X0)
      | ~ line_equal(X0,X0)
      | goal
      | ~ incident(ac,X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( goal
      | ~ incident(ac,X0)
      | ~ line_equal(X0,X0)
      | ~ incident(ab,X0)
      | ~ incident(bc,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ( incident(ac,X0)
        & line_equal(X0,X0)
        & incident(ab,X0)
        & incident(bc,X0) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).

fof(f160,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f107,f149,f157]) ).

fof(f107,plain,
    ( goal
    | ~ point_equal(b2,b1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ~ point_equal(b2,b1)
    | goal ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ( point_equal(b2,b1)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbb) ).

fof(f155,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f128,f153,f149]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ incident(b1,X0)
      | goal
      | ~ incident(c1,X0)
      | ~ incident(a1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( goal
      | ~ incident(a1,X0)
      | ~ incident(b1,X0)
      | ~ incident(c1,X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( goal
      | ~ incident(b1,X0)
      | ~ incident(c1,X0)
      | ~ incident(a1,X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( ( incident(b1,X0)
        & incident(c1,X0)
        & incident(a1,X0) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:19:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (19533)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (19538)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (19545)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52  % (19547)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.28/0.52  % (19528)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52  % (19530)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53  Detected maximum model sizes of [19]
% 1.28/0.53  TRYING [1]
% 1.28/0.53  TRYING [2]
% 1.28/0.53  TRYING [3]
% 1.28/0.53  % (19552)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.28/0.53  TRYING [4]
% 1.28/0.53  % (19524)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.28/0.53  % (19527)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53  Detected maximum model sizes of [19]
% 1.28/0.53  TRYING [1]
% 1.28/0.53  TRYING [2]
% 1.28/0.53  % (19525)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.54  % (19525)Refutation not found, incomplete strategy% (19525)------------------------------
% 1.28/0.54  % (19525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (19525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (19525)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54  
% 1.28/0.54  % (19525)Memory used [KB]: 5500
% 1.28/0.54  % (19525)Time elapsed: 0.133 s
% 1.28/0.54  % (19525)Instructions burned: 4 (million)
% 1.28/0.54  % (19525)------------------------------
% 1.28/0.54  % (19525)------------------------------
% 1.28/0.54  % (19535)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.54  % (19546)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.54  TRYING [5]
% 1.48/0.54  % (19542)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.54  % (19541)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.54  % (19526)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.48/0.55  % (19531)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.48/0.55  % (19534)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.55  % (19532)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.55  % (19532)Instruction limit reached!
% 1.48/0.55  % (19532)------------------------------
% 1.48/0.55  % (19532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (19532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (19532)Termination reason: Unknown
% 1.48/0.55  % (19532)Termination phase: Blocked clause elimination
% 1.48/0.55  
% 1.48/0.55  % (19532)Memory used [KB]: 895
% 1.48/0.55  % (19532)Time elapsed: 0.002 s
% 1.48/0.55  % (19532)Instructions burned: 2 (million)
% 1.48/0.55  % (19532)------------------------------
% 1.48/0.55  % (19532)------------------------------
% 1.48/0.55  % (19555)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.48/0.55  % (19549)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.48/0.55  % (19550)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.55  % (19543)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.56  TRYING [3]
% 1.48/0.56  % (19554)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.48/0.56  TRYING [4]
% 1.48/0.56  % (19530)Instruction limit reached!
% 1.48/0.56  % (19530)------------------------------
% 1.48/0.56  % (19530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56  % (19551)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.48/0.56  % (19530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56  % (19530)Termination reason: Unknown
% 1.48/0.56  % (19530)Termination phase: Finite model building SAT solving
% 1.48/0.56  
% 1.48/0.56  % (19530)Memory used [KB]: 6140
% 1.48/0.56  % (19530)Time elapsed: 0.086 s
% 1.48/0.56  % (19530)Instructions burned: 52 (million)
% 1.48/0.56  % (19530)------------------------------
% 1.48/0.56  % (19530)------------------------------
% 1.48/0.56  TRYING [5]
% 1.48/0.56  % (19529)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.48/0.57  Detected maximum model sizes of [19]
% 1.48/0.57  TRYING [1]
% 1.48/0.57  TRYING [2]
% 1.48/0.57  % (19533)Instruction limit reached!
% 1.48/0.57  % (19533)------------------------------
% 1.48/0.57  % (19533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57  % (19537)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.57  TRYING [3]
% 1.48/0.57  % (19540)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.48/0.57  TRYING [4]
% 1.48/0.57  % (19531)Instruction limit reached!
% 1.48/0.57  % (19531)------------------------------
% 1.48/0.57  % (19531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57  % (19531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57  % (19531)Termination reason: Unknown
% 1.48/0.57  % (19531)Termination phase: Saturation
% 1.48/0.57  
% 1.48/0.57  % (19531)Memory used [KB]: 5500
% 1.48/0.57  % (19531)Time elapsed: 0.150 s
% 1.48/0.57  % (19531)Instructions burned: 7 (million)
% 1.48/0.57  % (19531)------------------------------
% 1.48/0.57  % (19531)------------------------------
% 1.48/0.57  % (19533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57  % (19533)Termination reason: Unknown
% 1.48/0.57  % (19533)Termination phase: Saturation
% 1.48/0.57  
% 1.48/0.57  % (19533)Memory used [KB]: 1279
% 1.48/0.57  % (19533)Time elapsed: 0.149 s
% 1.48/0.57  % (19533)Instructions burned: 51 (million)
% 1.48/0.57  % (19536)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.48/0.57  % (19533)------------------------------
% 1.48/0.57  % (19533)------------------------------
% 1.48/0.58  % (19538)Instruction limit reached!
% 1.48/0.58  % (19538)------------------------------
% 1.48/0.58  % (19538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58  % (19538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58  % (19538)Termination reason: Unknown
% 1.48/0.58  % (19538)Termination phase: Saturation
% 1.48/0.58  
% 1.48/0.58  % (19538)Memory used [KB]: 6012
% 1.48/0.58  % (19538)Time elapsed: 0.034 s
% 1.48/0.58  % (19538)Instructions burned: 68 (million)
% 1.48/0.58  % (19538)------------------------------
% 1.48/0.58  % (19538)------------------------------
% 1.48/0.58  % (19544)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.58  % (19528)Instruction limit reached!
% 1.48/0.58  % (19528)------------------------------
% 1.48/0.58  % (19528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58  % (19553)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.48/0.59  % (19552)Instruction limit reached!
% 1.48/0.59  % (19552)------------------------------
% 1.48/0.59  % (19552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.59  TRYING [5]
% 1.48/0.59  % (19528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.59  % (19528)Termination reason: Unknown
% 1.48/0.59  % (19528)Termination phase: Saturation
% 1.48/0.59  
% 1.48/0.59  % (19528)Memory used [KB]: 6396
% 1.48/0.59  % (19528)Time elapsed: 0.160 s
% 1.48/0.59  % (19528)Instructions burned: 51 (million)
% 1.48/0.59  % (19528)------------------------------
% 1.48/0.59  % (19528)------------------------------
% 1.48/0.60  % (19552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.60  % (19552)Termination reason: Unknown
% 1.48/0.60  % (19552)Termination phase: Saturation
% 1.48/0.60  
% 1.48/0.60  % (19552)Memory used [KB]: 6012
% 1.48/0.60  % (19552)Time elapsed: 0.028 s
% 1.48/0.60  % (19552)Instructions burned: 68 (million)
% 1.48/0.60  % (19552)------------------------------
% 1.48/0.60  % (19552)------------------------------
% 1.48/0.60  % (19526)Instruction limit reached!
% 1.48/0.60  % (19526)------------------------------
% 1.48/0.60  % (19526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.60  % (19526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.60  % (19526)Termination reason: Unknown
% 1.48/0.60  % (19526)Termination phase: Saturation
% 1.48/0.60  
% 1.48/0.60  % (19526)Memory used [KB]: 1151
% 1.48/0.60  % (19526)Time elapsed: 0.201 s
% 1.48/0.60  % (19526)Instructions burned: 38 (million)
% 1.48/0.60  % (19526)------------------------------
% 1.48/0.60  % (19526)------------------------------
% 1.48/0.62  % (19542)Instruction limit reached!
% 1.48/0.62  % (19542)------------------------------
% 1.48/0.62  % (19542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.62  % (19542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.62  % (19542)Termination reason: Unknown
% 1.48/0.62  % (19542)Termination phase: Finite model building SAT solving
% 1.48/0.62  
% 1.48/0.62  % (19542)Memory used [KB]: 6268
% 1.48/0.62  % (19542)Time elapsed: 0.209 s
% 1.48/0.62  % (19542)Instructions burned: 60 (million)
% 1.48/0.62  % (19542)------------------------------
% 1.48/0.62  % (19542)------------------------------
% 2.14/0.63  TRYING [6]
% 2.14/0.65  % (19527)Instruction limit reached!
% 2.14/0.65  % (19527)------------------------------
% 2.14/0.65  % (19527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (19527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (19527)Termination reason: Unknown
% 2.14/0.65  % (19527)Termination phase: Saturation
% 2.14/0.65  
% 2.14/0.65  % (19527)Memory used [KB]: 6524
% 2.14/0.65  % (19527)Time elapsed: 0.244 s
% 2.14/0.65  % (19527)Instructions burned: 52 (million)
% 2.14/0.65  % (19527)------------------------------
% 2.14/0.65  % (19527)------------------------------
% 2.14/0.65  % (19534)Instruction limit reached!
% 2.14/0.65  % (19534)------------------------------
% 2.14/0.65  % (19534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (19534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (19534)Termination reason: Unknown
% 2.14/0.65  % (19534)Termination phase: Saturation
% 2.14/0.65  
% 2.14/0.65  % (19534)Memory used [KB]: 6012
% 2.14/0.65  % (19534)Time elapsed: 0.236 s
% 2.14/0.65  % (19534)Instructions burned: 52 (million)
% 2.14/0.65  % (19534)------------------------------
% 2.14/0.65  % (19534)------------------------------
% 2.14/0.66  % (19535)Instruction limit reached!
% 2.14/0.66  % (19535)------------------------------
% 2.14/0.66  % (19535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66  % (19535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66  % (19535)Termination reason: Unknown
% 2.14/0.66  % (19535)Termination phase: Saturation
% 2.14/0.66  
% 2.14/0.66  % (19535)Memory used [KB]: 7036
% 2.14/0.66  % (19535)Time elapsed: 0.253 s
% 2.14/0.66  % (19535)Instructions burned: 100 (million)
% 2.14/0.66  % (19535)------------------------------
% 2.14/0.66  % (19535)------------------------------
% 2.14/0.66  % (19618)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.14/0.67  % (19529)Instruction limit reached!
% 2.14/0.67  % (19529)------------------------------
% 2.14/0.67  % (19529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67  % (19529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67  % (19529)Termination reason: Unknown
% 2.14/0.67  % (19529)Termination phase: Saturation
% 2.14/0.67  
% 2.14/0.67  % (19529)Memory used [KB]: 5756
% 2.14/0.67  % (19529)Time elapsed: 0.240 s
% 2.14/0.67  % (19529)Instructions burned: 49 (million)
% 2.14/0.67  % (19529)------------------------------
% 2.14/0.67  % (19529)------------------------------
% 2.14/0.67  % (19613)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.14/0.69  % (19634)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.14/0.69  % (19629)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.14/0.69  % (19541)Instruction limit reached!
% 2.14/0.69  % (19541)------------------------------
% 2.14/0.69  % (19541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.69  % (19541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.69  % (19541)Termination reason: Unknown
% 2.14/0.69  % (19541)Termination phase: Saturation
% 2.14/0.69  
% 2.14/0.69  % (19541)Memory used [KB]: 6012
% 2.14/0.69  % (19541)Time elapsed: 0.292 s
% 2.14/0.69  % (19541)Instructions burned: 100 (million)
% 2.14/0.69  % (19541)------------------------------
% 2.14/0.69  % (19541)------------------------------
% 2.14/0.69  % (19540)Instruction limit reached!
% 2.14/0.69  % (19540)------------------------------
% 2.14/0.69  % (19540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.69  % (19540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.69  % (19540)Termination reason: Unknown
% 2.14/0.69  % (19540)Termination phase: Saturation
% 2.14/0.69  
% 2.14/0.69  % (19540)Memory used [KB]: 1279
% 2.14/0.69  % (19540)Time elapsed: 0.265 s
% 2.14/0.69  % (19540)Instructions burned: 77 (million)
% 2.14/0.69  % (19540)------------------------------
% 2.14/0.69  % (19540)------------------------------
% 2.45/0.69  % (19623)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.45/0.70  % (19639)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.45/0.70  % (19641)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.45/0.71  % (19628)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.45/0.73  % (19544)Instruction limit reached!
% 2.45/0.73  % (19544)------------------------------
% 2.45/0.73  % (19544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.73  % (19544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73  % (19544)Termination reason: Unknown
% 2.45/0.73  % (19544)Termination phase: Saturation
% 2.45/0.73  
% 2.45/0.73  % (19544)Memory used [KB]: 1279
% 2.45/0.73  % (19544)Time elapsed: 0.333 s
% 2.45/0.73  % (19544)Instructions burned: 101 (million)
% 2.45/0.73  % (19544)------------------------------
% 2.45/0.73  % (19544)------------------------------
% 2.45/0.74  % (19543)Instruction limit reached!
% 2.45/0.74  % (19543)------------------------------
% 2.45/0.74  % (19543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.74  % (19543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.74  % (19543)Termination reason: Unknown
% 2.45/0.74  % (19543)Termination phase: Saturation
% 2.45/0.74  
% 2.45/0.74  % (19543)Memory used [KB]: 6780
% 2.45/0.74  % (19543)Time elapsed: 0.323 s
% 2.45/0.74  % (19543)Instructions burned: 101 (million)
% 2.45/0.74  % (19543)------------------------------
% 2.45/0.74  % (19543)------------------------------
% 2.45/0.75  % (19537)Instruction limit reached!
% 2.45/0.75  % (19537)------------------------------
% 2.45/0.75  % (19537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.75  % (19537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.75  % (19537)Termination reason: Unknown
% 2.45/0.75  % (19537)Termination phase: Saturation
% 2.45/0.75  
% 2.45/0.75  % (19537)Memory used [KB]: 6652
% 2.45/0.75  % (19537)Time elapsed: 0.317 s
% 2.45/0.75  % (19537)Instructions burned: 100 (million)
% 2.45/0.75  % (19537)------------------------------
% 2.45/0.75  % (19537)------------------------------
% 2.45/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.45/0.75  % (19660)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.69/0.75  % (19546)Instruction limit reached!
% 2.69/0.75  % (19546)------------------------------
% 2.69/0.75  % (19546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.75  % (19546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.75  % (19546)Termination reason: Unknown
% 2.69/0.75  % (19546)Termination phase: Saturation
% 2.69/0.75  
% 2.69/0.75  % (19546)Memory used [KB]: 6012
% 2.69/0.75  % (19546)Time elapsed: 0.352 s
% 2.69/0.75  % (19546)Instructions burned: 139 (million)
% 2.69/0.75  % (19546)------------------------------
% 2.69/0.75  % (19546)------------------------------
% 2.71/0.76  % (19545)Instruction limit reached!
% 2.71/0.76  % (19545)------------------------------
% 2.71/0.76  % (19545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.76  % (19545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.76  % (19545)Termination reason: Unknown
% 2.71/0.76  % (19545)Termination phase: Saturation
% 2.71/0.76  
% 2.71/0.76  % (19545)Memory used [KB]: 7164
% 2.71/0.76  % (19545)Time elapsed: 0.352 s
% 2.71/0.76  % (19545)Instructions burned: 176 (million)
% 2.71/0.76  % (19545)------------------------------
% 2.71/0.76  % (19545)------------------------------
% 2.71/0.77  % (19657)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.71/0.77  TRYING [7]
% 2.71/0.77  % (19674)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.71/0.78  % (19536)Instruction limit reached!
% 2.71/0.78  % (19536)------------------------------
% 2.71/0.78  % (19536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.78  % (19536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.78  % (19536)Termination reason: Unknown
% 2.71/0.78  % (19536)Termination phase: Saturation
% 2.71/0.78  
% 2.71/0.78  % (19536)Memory used [KB]: 6524
% 2.71/0.78  % (19536)Time elapsed: 0.374 s
% 2.71/0.78  % (19536)Instructions burned: 102 (million)
% 2.71/0.78  % (19536)------------------------------
% 2.71/0.78  % (19536)------------------------------
% 2.71/0.78  % (19687)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.71/0.78  % (19678)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.71/0.79  % (19641)Instruction limit reached!
% 2.71/0.79  % (19641)------------------------------
% 2.71/0.79  % (19641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.79  % (19641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.79  % (19641)Termination reason: Unknown
% 2.71/0.79  % (19641)Termination phase: Saturation
% 2.71/0.79  
% 2.71/0.79  % (19641)Memory used [KB]: 6012
% 2.71/0.79  % (19641)Time elapsed: 0.046 s
% 2.71/0.79  % (19641)Instructions burned: 69 (million)
% 2.71/0.79  % (19641)------------------------------
% 2.71/0.79  % (19641)------------------------------
% 2.94/0.81  % (19710)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.94/0.81  % (19691)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.94/0.83  % (19711)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.99/0.85  % (19623)Instruction limit reached!
% 2.99/0.85  % (19623)------------------------------
% 2.99/0.85  % (19623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.85  % (19623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.85  % (19623)Termination reason: Unknown
% 2.99/0.85  % (19623)Termination phase: Saturation
% 2.99/0.85  
% 2.99/0.85  % (19623)Memory used [KB]: 6012
% 2.99/0.85  % (19623)Time elapsed: 0.254 s
% 2.99/0.85  % (19623)Instructions burned: 91 (million)
% 2.99/0.85  % (19623)------------------------------
% 2.99/0.85  % (19623)------------------------------
% 2.99/0.85  % (19553)Instruction limit reached!
% 2.99/0.85  % (19553)------------------------------
% 2.99/0.85  % (19553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.85  % (19553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.85  % (19553)Termination reason: Unknown
% 2.99/0.85  % (19553)Termination phase: Saturation
% 2.99/0.85  
% 2.99/0.85  % (19553)Memory used [KB]: 1535
% 2.99/0.85  % (19553)Time elapsed: 0.393 s
% 2.99/0.85  % (19553)Instructions burned: 177 (million)
% 2.99/0.85  % (19553)------------------------------
% 2.99/0.85  % (19553)------------------------------
% 2.99/0.86  % (19739)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.99/0.86  % (19660)Refutation not found, incomplete strategy% (19660)------------------------------
% 2.99/0.86  % (19660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.86  % (19660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.86  % (19660)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.86  
% 2.99/0.86  % (19660)Memory used [KB]: 5884
% 2.99/0.86  % (19660)Time elapsed: 0.214 s
% 2.99/0.86  % (19660)Instructions burned: 54 (million)
% 2.99/0.86  % (19660)------------------------------
% 2.99/0.86  % (19660)------------------------------
% 2.99/0.86  % (19731)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.99/0.87  % (19734)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.99/0.88  % (19555)First to succeed.
% 2.99/0.88  % (19741)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 2.99/0.90  % (19745)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 2.99/0.91  % (19752)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 2.99/0.91  % (19554)Also succeeded, but the first one will report.
% 2.99/0.92  % (19753)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 2.99/0.92  % (19555)Refutation found. Thanks to Tanya!
% 2.99/0.92  % SZS status Theorem for theBenchmark
% 2.99/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 2.99/0.92  % (19555)------------------------------
% 2.99/0.92  % (19555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.92  % (19555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.92  % (19555)Termination reason: Refutation
% 2.99/0.92  
% 2.99/0.92  % (19555)Memory used [KB]: 8443
% 2.99/0.92  % (19555)Time elapsed: 0.476 s
% 2.99/0.92  % (19555)Instructions burned: 204 (million)
% 2.99/0.92  % (19555)------------------------------
% 2.99/0.92  % (19555)------------------------------
% 2.99/0.92  % (19515)Success in time 0.571 s
%------------------------------------------------------------------------------