TSTP Solution File: SCT057-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SCT057-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:55:34 EDT 2024

% Result   : Unsatisfiable 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  456
% Syntax   : Number of formulae    :  460 ( 198 unt;   0 def)
%            Number of atoms       :  722 ( 219 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  532 ( 270   ~; 262   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :   25 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :   66 (  66 usr;  12 con; 0-7 aty)
%            Number of variables   : 1429 (1429   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f691,plain,
    $false,
    inference(global_subsumption,[],[f664,f665,f682,f683,f679,f677,f681,f678,f680,f676,f675,f527,f533,f488,f492,f489,f508,f516,f510,f501,f311,f312,f478,f511,f124,f262,f264,f265,f289,f169,f270,f271,f272,f519,f300,f40,f50,f530,f504,f500,f154,f195,f4,f164,f515,f554,f555,f532,f491,f490,f95,f9,f525,f326,f374,f102,f486,f507,f101,f120,f119,f281,f280,f282,f283,f447,f71,f70,f188,f180,f179,f614,f615,f622,f623,f619,f618,f548,f547,f405,f546,f549,f528,f1,f163,f165,f597,f596,f56,f235,f192,f80,f224,f540,f523,f2,f379,f378,f8,f535,f121,f94,f93,f155,f46,f381,f503,f502,f453,f455,f409,f375,f373,f410,f408,f372,f340,f229,f47,f48,f49,f236,f193,f338,f228,f471,f522,f513,f470,f11,f51,f294,f212,f231,f211,f10,f146,f371,f168,f12,f13,f38,f407,f189,f330,f543,f143,f52,f244,f87,f509,f3,f325,f116,f115,f58,f59,f521,f295,f227,f239,f339,f44,f203,f171,f6,f5,f100,f30,f197,f43,f237,f90,f19,f33,f329,f324,f223,f125,f35,f126,f34,f286,f287,f132,f96,f97,f15,f57,f214,f213,f291,f109,f183,f191,f122,f673,f674,f7,f670,f317,f668,f36,f37,f185,f184,f672,f316,f669,f117,f118,f91,f92,f667,f666,f671,f299,f41,f75,f78,f79,f74,f178,f177,f172,f173,f81,f82,f225,f226,f145,f133,f293,f292,f233,f232,f112,f113,f111,f114,f61,f62,f60,f63,f131,f186,f605,f589,f376,f138,f423,f537,f383,f481,f518,f524,f380,f377,f479,f497,f505,f485,f514,f83,f520,f477,f512,f498,f606,f297,f296,f31,f651,f650,f604,f602,f628,f190,f401,f404,f137,f250,f536,f382,f552,f517,f542,f506,f484,f499,f415,f414,f360,f370,f654,f275,f198,f106,f107,f539,f344,f551,f385,f496,f406,f39,f655,f279,f255,f254,f268,f261,f260,f473,f474,f475,f476,f636,f355,f22,f28,f298,f167,f166,f263,f688,f243,f242,f550,f384,f495,f194,f196,f269,f273,f274,f635,f644,f204,f205,f246,f240,f341,f493,f65,f64,f151,f150,f20,f337,f84,f335,f336,f99,f456,f386,f162,f14,f322,f208,f207,f127,f152,f21,f216,f215,f308,f307,f98,f367,f544,f398,f560,f643,f416,f403,f574,f559,f567,f571,f526,f639,f640,f641,f642,f564,f413,f230,f89,f327,f412,f363,f362,f577,f361,f487,f572,f399,f342,f234,f32,f472,f583,f582,f445,f368,f161,f581,f580,f594,f586,f587,f358,f419,f566,f369,f53,f588,f357,f663,f390,f656,f575,f247,f248,f662,f389,f657,f576,f348,f396,f653,f652,f465,f421,f426,f394,f395,f448,f462,f463,f411,f249,f608,f607,f468,f469,f418,f417,f160,f392,f661,f660,f391,f659,f689,f388,f690,f658]) ).

fof(f658,axiom,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_01) ).

fof(f690,plain,
    c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(global_subsumption,[],[f664,f665,f682,f683,f679,f677,f681,f678,f680,f676,f675,f527,f533,f488,f492,f489,f508,f516,f510,f501,f311,f312,f478,f511,f124,f262,f264,f265,f289,f169,f270,f271,f272,f519,f300,f40,f50,f530,f504,f500,f154,f195,f4,f164,f515,f554,f555,f532,f491,f490,f95,f9,f525,f326,f374,f102,f486,f507,f101,f120,f119,f281,f280,f282,f283,f447,f71,f70,f188,f180,f179,f614,f615,f622,f623,f619,f618,f548,f547,f405,f546,f549,f528,f1,f163,f165,f597,f596,f56,f235,f192,f80,f224,f540,f523,f2,f379,f378,f8,f535,f121,f94,f93,f155,f46,f381,f503,f502,f453,f455,f409,f375,f373,f410,f408,f372,f340,f229,f47,f48,f49,f236,f193,f338,f228,f471,f522,f513,f470,f11,f51,f294,f212,f231,f211,f10,f146,f371,f168,f12,f13,f38,f407,f189,f330,f543,f143,f52,f244,f87,f509,f3,f325,f116,f115,f58,f59,f521,f295,f227,f239,f339,f44,f203,f171,f6,f5,f100,f30,f197,f43,f237,f90,f19,f33,f329,f324,f223,f125,f35,f126,f34,f286,f287,f132,f96,f97,f15,f57,f214,f213,f291,f109,f183,f191,f122,f673,f674,f7,f670,f317,f668,f36,f37,f185,f184,f672,f316,f669,f117,f118,f91,f92,f667,f666,f671,f299,f41,f75,f78,f79,f74,f178,f177,f172,f173,f81,f82,f225,f226,f145,f133,f293,f292,f233,f232,f112,f113,f111,f114,f61,f62,f60,f63,f131,f186,f605,f589,f376,f138,f423,f537,f383,f481,f518,f524,f380,f377,f479,f497,f505,f485,f514,f83,f520,f477,f512,f498,f606,f297,f296,f31,f651,f650,f604,f602,f628,f190,f401,f404,f137,f250,f536,f382,f552,f517,f542,f506,f484,f499,f415,f414,f360,f370,f654,f275,f198,f106,f107,f539,f344,f551,f385,f496,f406,f39,f655,f279,f255,f254,f268,f261,f260,f473,f474,f475,f476,f636,f355,f22,f28,f298,f167,f166,f263,f688,f243,f242,f550,f384,f495,f194,f196,f269,f273,f274,f635,f644,f204,f205,f246,f240,f341,f493,f65,f64,f151,f150,f20,f337,f84,f335,f336,f99,f456,f386,f162,f14,f322,f208,f207,f127,f152,f21,f216,f215,f308,f307,f98,f367,f544,f398,f560,f643,f416,f403,f574,f559,f567,f571,f526,f639,f640,f641,f642,f564,f413,f230,f89,f327,f412,f363,f362,f577,f361,f487,f572,f399,f342,f234,f32,f472,f583,f582,f445,f368,f161,f581,f580,f594,f586,f587,f358,f419,f566,f369,f53,f588,f357,f663,f390,f656,f575,f247,f248,f662,f389,f657,f576,f348,f396,f653,f652,f465,f421,f426,f394,f395,f448,f462,f463,f411,f249,f608,f607,f468,f469,f418,f417,f160,f392,f661,f660,f391,f659,f689,f388]) ).

fof(f388,axiom,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bc_0) ).

fof(f689,plain,
    c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(global_subsumption,[],[f664,f665,f682,f683,f679,f677,f681,f678,f680,f676,f675,f527,f533,f488,f492,f489,f508,f516,f510,f501,f311,f312,f478,f511,f124,f262,f264,f265,f289,f169,f270,f271,f272,f519,f300,f40,f50,f530,f504,f500,f154,f195,f4,f164,f515,f554,f555,f532,f491,f490,f95,f9,f525,f326,f374,f102,f486,f507,f101,f120,f119,f281,f280,f282,f283,f447,f71,f70,f188,f180,f179,f614,f615,f622,f623,f619,f618,f548,f547,f405,f546,f549,f528,f1,f163,f165,f597,f596,f56,f235,f192,f80,f224,f540,f523,f2,f379,f378,f8,f535,f121,f94,f93,f155,f46,f381,f503,f502,f453,f455,f409,f375,f373,f410,f408,f372,f340,f229,f47,f48,f49,f236,f193,f338,f228,f471,f522,f513,f470,f11,f51,f294,f212,f231,f211,f10,f146,f371,f168,f12,f13,f38,f407,f189,f330,f543,f143,f52,f244,f87,f509,f3,f325,f116,f115,f58,f59,f521,f295,f227,f239,f339,f44,f203,f171,f6,f5,f100,f30,f197,f43,f237,f90,f19,f33,f329,f324,f223,f125,f35,f126,f34,f286,f287,f132,f96,f97,f15,f57,f214,f213,f291,f109,f183,f191,f122,f673,f674,f7,f670,f317,f668,f36,f37,f185,f184,f672,f316,f669,f117,f118,f91,f92,f667,f666,f671,f299,f41,f75,f78,f79,f74,f178,f177,f172,f173,f81,f82,f225,f226,f145,f133,f293,f292,f233,f232,f112,f113,f111,f114,f61,f62,f60,f63,f131,f186,f605,f589,f376,f138,f423,f537,f383,f481,f518,f524,f380,f377,f479,f497,f505,f485,f514,f83,f520,f477,f512,f498,f606,f297,f296,f31,f651,f650,f604,f602,f628,f190,f401,f404,f137,f250,f536,f382,f552,f517,f542,f506,f484,f499,f415,f414,f360,f370,f654,f275,f198,f106,f107,f539,f344,f551,f385,f496,f406,f39,f655,f279,f255,f254,f268,f261,f260,f473,f474,f475,f476,f636,f355,f22,f28,f298,f167,f166,f263,f688,f243,f242,f550,f384,f495,f194,f196,f269,f273,f274,f635,f644,f204,f205,f246,f240,f341,f493,f65,f64,f151,f150,f20,f337,f84,f335,f336,f99,f456,f386,f162,f14,f322,f208,f207,f127,f152,f21,f216,f215,f308,f307,f98,f367,f544,f398,f560,f643,f416,f403,f574,f559,f567,f571,f526,f639,f640,f641,f642,f564,f413,f230,f89,f327,f412,f363,f362,f577,f361,f487,f572,f399,f342,f234,f32,f472,f583,f582,f445,f368,f161,f581,f580,f594,f586,f587,f358,f419,f566,f369,f53,f588,f357,f663,f390,f656,f575,f247,f248,f662,f389,f657,f576,f348,f396,f653,f652,f465,f421,f426,f394,f395,f448,f462,f463,f411,f249,f608,f607,f468,f469,f418,f417,f160,f392,f661,f660,f391,f659]) ).

fof(f659,axiom,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f391,axiom,
    ( c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ac_1) ).

fof(f660,axiom,
    ( c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_03) ).

fof(f661,axiom,
    ( ~ c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).

fof(f392,axiom,
    ( ~ c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ac_0) ).

fof(f160,axiom,
    ! [X2,X1,X16] :
      ( ~ c_lessequals(X16,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
      | c_lessequals(c_Transitive__Closure_Otrancl(X16,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Sigma_0) ).

fof(f417,axiom,
    ! [X2,X11,X18,X16,X7,X4,X5] :
      ( ~ c_in(c_Pair(X5,X18,X2,X4),c_Relation_Orel__comp(X16,X11,X2,X7,X4),tc_prod(X2,X4))
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X5,X18,X16,X11,X2,X4,X7),X18,X7,X4),X11,tc_prod(X7,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_1) ).

fof(f418,axiom,
    ! [X2,X11,X18,X16,X7,X4,X5] :
      ( ~ c_in(c_Pair(X5,X18,X2,X4),c_Relation_Orel__comp(X16,X11,X2,X7,X4),tc_prod(X2,X4))
      | c_in(c_Pair(X5,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X5,X18,X16,X11,X2,X4,X7),X2,X7),X16,tc_prod(X2,X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_0) ).

fof(f469,axiom,
    ! [X2,X21,X0,X16] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X16,X2),X2,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X16,X2,X2),X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseI_0) ).

fof(f468,axiom,
    ! [X2,X21,X0,X16] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X16,X2,X2),X2),tc_prod(X2,X2))
      | c_in(c_Pair(X0,X21,X2,X2),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X16,X2),X2,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseD_0) ).

fof(f607,axiom,
    ! [X2,X21,X0,X9,X16,X4] :
      ( ~ c_in(c_Pair(hAPP(X9,X0),hAPP(X9,X21),X4,X4),X16,tc_prod(X4,X4))
      | c_in(c_Pair(X0,X21,X2,X2),c_Relation_Oinv__image(X16,X9,X4,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_1) ).

fof(f608,axiom,
    ! [X2,X21,X0,X9,X16,X4] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Relation_Oinv__image(X16,X9,X4,X2),tc_prod(X2,X2))
      | c_in(c_Pair(hAPP(X9,X0),hAPP(X9,X21),X4,X4),X16,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_0) ).

fof(f249,axiom,
    ! [X2,X0,X36,X9,X16,X4] :
      ( c_Recdef_Ocut(X9,X16,X0,X2,X4) = c_Recdef_Ocut(X36,X16,X0,X2,X4)
      | hAPP(X9,c_List_Osko__Recdef__Xcuts__eq__1__1(X9,X36,X16,X0,X2,X4)) != hAPP(X36,c_List_Osko__Recdef__Xcuts__eq__1__1(X9,X36,X16,X0,X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_2) ).

fof(f411,axiom,
    ! [X2,X0,X36,X9,X16,X4] :
      ( c_Recdef_Ocut(X9,X16,X0,X2,X4) = c_Recdef_Ocut(X36,X16,X0,X2,X4)
      | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X9,X36,X16,X0,X2,X4),X0,X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_1) ).

fof(f463,axiom,
    ! [X2,X21,X0,X16] :
      ( c_in(c_Pair(X21,X0,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2))
      | ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X16,X2,X2),X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseD_0) ).

fof(f462,axiom,
    ! [X2,X21,X0,X16] :
      ( ~ c_in(c_Pair(X21,X0,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X16,X2,X2),X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseI_0) ).

fof(f448,axiom,
    ! [X2,X0,X16] :
      ( ~ c_in(c_Pair(X0,X0,X2,X2),c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2))
      | c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X16,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__tranclI_0) ).

fof(f395,axiom,
    ! [X2,X21,X3,X0] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
      | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X3,X0,X21,X2),X21,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_1) ).

fof(f394,axiom,
    ! [X2,X21,X3,X0] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X0,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X3,X0,X21,X2),X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_0) ).

fof(f426,axiom,
    ! [X2,X21,X3,X0] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
      | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X3,X0,X21,X2),X21,X2,X2),X3,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_1) ).

fof(f421,axiom,
    ! [X2,X21,X3,X0] :
      ( ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X0,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X3,X0,X21,X2),X2,X2),X3,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_0) ).

fof(f465,axiom,
    ! [X2,X16,X17,X5] :
      ( ~ c_in(c_Pair(X5,X17,X2,X2),c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X5,X17,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_0) ).

fof(f652,axiom,
    ! [X53] :
      ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_iff_1) ).

fof(f653,axiom,
    ! [X53] :
      ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_iff_0) ).

fof(f396,axiom,
    ! [X2,X21,X0,X16] :
      ( ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X21,X0,X2,X2),X16,tc_prod(X2,X2)),X2)
      | ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_1) ).

fof(f348,axiom,
    ! [X2,X21,X0,X16] :
      ( ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X21,X0,X2,X2),X16,tc_prod(X2,X2)),X2)
      | ~ c_in(c_Pair(X0,X21,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__insert_1) ).

fof(f576,axiom,
    ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ba_0) ).

fof(f657,axiom,
    ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f389,axiom,
    ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab_1) ).

fof(f662,axiom,
    ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).

fof(f248,axiom,
    ! [X2,X1,X8,X6] :
      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool))
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).

fof(f247,axiom,
    ! [X2,X1,X8,X6] :
      ( ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).

fof(f575,axiom,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ba_1) ).

fof(f656,axiom,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_a____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

fof(f390,axiom,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab_0) ).

fof(f663,axiom,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_b____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).

fof(f357,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( c_in(c_Pair(X5,X17,X4,X2),X16,tc_prod(X4,X2))
      | ~ c_in(X17,c_Relation_OImage(X16,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__singleton__iff_0) ).

fof(f588,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( c_in(c_Pair(X17,X5,X4,X2),X16,tc_prod(X4,X2))
      | ~ c_in(c_Pair(X5,X17,X2,X4),c_Relation_Oconverse(X16,X4,X2),tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseD_0) ).

fof(f53,axiom,
    ! [X2,X1,X8,X6,X16,X4] :
      ( c_lessequals(c_Relation_OImage(X16,X8,X2,X4),X6,tc_fun(X4,tc_bool))
      | ~ c_lessequals(X16,c_Product__Type_OSigma(X1,c_COMBK(X6,tc_fun(X4,tc_bool),X2),X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__subset_0) ).

fof(f369,axiom,
    ! [X2,X3,X10] :
      ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2)
      | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X3,X2,X2,X2),c_Relation_Orel__comp(X10,X3,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__union__merge_1) ).

fof(f566,axiom,
    ! [X2,X1,X9,X7,X4,X17,X5] :
      ( ~ c_in(c_Pair(X5,X17,X2,X4),X1,tc_prod(X2,X4))
      | c_in(hAPP(hAPP(X9,X5),X17),c_Set_Oimage(c_split(X9,X2,X4,X7),X1,tc_prod(X2,X4),X7),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__imageI_0) ).

fof(f419,axiom,
    ! [X2,X0,X16] :
      ( ~ c_in(c_Pair(X0,X0,X2,X2),X16,tc_prod(X2,X2))
      | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X16,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X16,X2),X2,X2),c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__trancl__rD_0) ).

fof(f358,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( ~ c_in(c_Pair(X5,X17,X4,X2),X16,tc_prod(X4,X2))
      | c_in(X17,c_Relation_OImage(X16,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__singleton__iff_1) ).

fof(f587,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( ~ c_in(c_Pair(X5,X17,X2,X4),X16,tc_prod(X2,X4))
      | c_in(c_Pair(X17,X5,X4,X2),c_Relation_Oconverse(X16,X2,X4),tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseI_0) ).

fof(f586,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( ~ c_in(c_Pair(X17,X5,X4,X2),X16,tc_prod(X4,X2))
      | c_in(c_Pair(X5,X17,X2,X4),c_Relation_Oconverse(X16,X4,X2),tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__iff_1) ).

fof(f594,axiom,
    ! [X2,X16,X17,X5] :
      ( ~ c_in(c_Pair(X5,X17,X2,X2),X16,tc_prod(X2,X2))
      | c_in(c_Pair(X5,X17,X2,X2),c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_0) ).

fof(f580,axiom,
    ! [X2,X3,X0,X9,X4,X5] :
      ( ~ c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
      | hAPP(X9,X0) = hAPP(c_Recdef_Ocut(X9,X3,X5,X2,X4),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tfl__cut__apply_0) ).

fof(f581,axiom,
    ! [X2,X0,X9,X16,X4,X5] :
      ( ~ c_in(c_Pair(X0,X5,X2,X2),X16,tc_prod(X2,X2))
      | hAPP(X9,X0) = hAPP(c_Recdef_Ocut(X9,X16,X5,X2,X4),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut__apply_0) ).

fof(f161,axiom,
    ! [X2,X11,X16] :
      ( ~ c_lessequals(X16,c_Transitive__Closure_Ortrancl(X11,X2),tc_fun(tc_prod(X2,X2),tc_bool))
      | c_lessequals(c_Transitive__Closure_Ortrancl(X16,X2),c_Transitive__Closure_Ortrancl(X11,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__subset__rtrancl_0) ).

fof(f368,axiom,
    ! [X2,X3,X10] :
      ( ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2)
      | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X3,X2,X2,X2),c_Relation_Orel__comp(X10,X3,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__union__merge_0) ).

fof(f445,axiom,
    ! [X2,X1,X18,X6,X4] :
      ( c_in(c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(X1,X6,X18,X2,X4),X1,X2)
      | ~ c_in(X18,c_Product__Type_OSigma(X1,X6,X2,X4),tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaE_0) ).

fof(f582,axiom,
    ! [X2,X21,X3,X0,X4] :
      ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X3,X2,X4),X0),X21))
      | ~ c_in(c_Pair(X0,X21,X2,X4),X3,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rel__def_1) ).

fof(f583,axiom,
    ! [X2,X21,X3,X0,X4] :
      ( ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X3,X2,X4),X0),X21))
      | c_in(c_Pair(X0,X21,X2,X4),X3,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rel__def_0) ).

fof(f472,axiom,
    ! [X2,X3,X18,X7,X4,X17,X5] :
      ( hBOOL(hAPP(hAPP(hAPP(X3,X5),X17),X18))
      | ~ hBOOL(hAPP(hAPP(c_split(X3,X2,X4,tc_fun(X7,tc_bool)),c_Pair(X5,X17,X2,X4)),X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splitD_H_0) ).

fof(f32,axiom,
    ! [X2,X1,X6] :
      ( c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)) = X1
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__triv_0) ).

fof(f234,axiom,
    ! [X2,X16,X4] :
      ( c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)) = X16
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Relation_ODomain(X16,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__empty__iff_0) ).

fof(f342,axiom,
    ! [X2,X16,X4] :
      ( c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X2),tc_bool)) = X16
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Relation_ORange(X16,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__empty__iff_0) ).

fof(f399,axiom,
    ! [X2,X1,X16,X4,X17] :
      ( ~ c_in(X17,c_Relation_OImage(X16,X1,X4,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X17,X16,X4,X2),X17,X4,X2),X16,tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_0) ).

fof(f572,axiom,
    ! [X2,X1,X16,X4,X17] :
      ( ~ c_in(X17,c_Relation_OImage(X16,X1,X4,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X17,X16,X4,X2),X17,X4,X2),X16,tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_1) ).

fof(f487,axiom,
    ! [X2,X1,X16,X4,X17] :
      ( ~ c_in(X17,c_Relation_OImage(X16,X1,X4,X2),X2)
      | c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X17,X16,X4,X2),X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_0) ).

fof(f361,axiom,
    ! [X2,X1,X16,X4,X17] :
      ( ~ c_in(X17,c_Relation_OImage(X16,X1,X4,X2),X2)
      | c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X17,X16,X4,X2),X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_1) ).

fof(f577,axiom,
    ! [X2,X18,X7,X4,X17,X22,X5] :
      ( ~ c_in(X22,hAPP(hAPP(X18,X5),X17),X2)
      | c_in(X22,hAPP(c_split(X18,X4,X7,tc_fun(X2,tc_bool)),c_Pair(X5,X17,X4,X7)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__splitI_0) ).

fof(f362,axiom,
    ! [X2,X3,X10,X0] :
      ( ~ c_in(X0,c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
      | c_in(X0,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_0) ).

fof(f363,axiom,
    ! [X2,X3,X10,X0] :
      ( ~ c_in(X0,c_Transitive__Closure_Ortrancl(X10,X2),tc_prod(X2,X2))
      | c_in(X0,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_1) ).

fof(f412,axiom,
    ! [X2,X18,X1] :
      ( ~ c_in(X18,c_Relation_OId__on(X1,X2),tc_prod(X2,X2))
      | c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X18,X2),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X18,X2),X2,X2) = X18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_1) ).

fof(f327,axiom,
    ! [X2,X11,X16,X4] :
      ( ~ c_lessequals(X16,X11,tc_fun(tc_prod(X2,X4),tc_bool))
      | c_lessequals(c_Relation_ODomain(X16,X2,X4),c_Relation_ODomain(X11,X2,X4),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__mono_0) ).

fof(f89,axiom,
    ! [X2,X11,X16] :
      ( ~ c_lessequals(X16,X11,tc_fun(tc_prod(X2,X2),tc_bool))
      | c_lessequals(c_Transitive__Closure_Ortrancl(X16,X2),c_Transitive__Closure_Ortrancl(X11,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__mono_0) ).

fof(f230,axiom,
    ! [X2,X34,X35] :
      ( ~ c_lessequals(X35,X34,tc_fun(tc_prod(X2,X2),tc_bool))
      | c_lessequals(c_Wellfounded_Oacc(X34,X2),c_Wellfounded_Oacc(X35,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__subset_0) ).

fof(f413,axiom,
    ! [X2,X1,X18] :
      ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X18,X2),X1,X2)
      | ~ c_in(X18,c_Relation_OId__on(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_0) ).

fof(f564,axiom,
    ! [X2,X3,X0] :
      ( c_in(X0,c_Relation_ODomain(X3,X2,X2),X2)
      | c_in(c_Pair(X0,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_1) ).

fof(f642,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( c_in(X5,c_Relation_ODomain(X16,X2,X4),X2)
      | ~ c_in(c_Pair(X5,X17,X2,X4),X16,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainI_0) ).

fof(f641,axiom,
    ! [X2,X0,X16,X4,X5] :
      ( c_in(X5,c_Relation_ODomain(X16,X2,X4),X2)
      | ~ c_in(c_Pair(X5,X0,X2,X4),X16,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_1) ).

fof(f640,axiom,
    ! [X2,X16,X4,X17,X5] :
      ( c_in(X17,c_Relation_ORange(X16,X2,X4),X4)
      | ~ c_in(c_Pair(X5,X17,X2,X4),X16,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeI_0) ).

fof(f639,axiom,
    ! [X2,X0,X16,X4,X5] :
      ( c_in(X5,c_Relation_ORange(X16,X4,X2),X2)
      | ~ c_in(c_Pair(X0,X5,X4,X2),X16,tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_1) ).

fof(f526,axiom,
    ! [X2,X16] :
      ( c_Equiv__Relations_Oequiv(c_Relation_ODomain(X16,X2,X2),X16,X2)
      | c_Relation_Orel__comp(c_Relation_Oconverse(X16,X2,X2),X16,X2,X2,X2) != X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__equivI_0) ).

fof(f571,axiom,
    ! [X2,X16,X4,X5] :
      ( ~ c_in(X5,c_Relation_ODomain(X16,X2,X4),X2)
      | c_in(c_Pair(X5,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X5,X16,X2,X4),X2,X4),X16,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_0) ).

fof(f567,axiom,
    ! [X2,X16,X4,X5] :
      ( ~ c_in(X5,c_Relation_ODomain(X16,X2,X4),X2)
      | c_in(c_Pair(X5,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X5,X16,X2,X4),X2,X4),X16,tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainE_0) ).

fof(f559,axiom,
    ! [X2,X16,X4,X17] :
      ( ~ c_in(X17,c_Relation_ORange(X16,X4,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X17,X16,X2,X4),X17,X4,X2),X16,tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeE_0) ).

fof(f574,axiom,
    ! [X2,X16,X4,X5] :
      ( ~ c_in(X5,c_Relation_ORange(X16,X4,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X5,X16,X2,X4),X5,X4,X2),X16,tc_prod(X4,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_0) ).

fof(f403,axiom,
    ! [X2,X3,X1,X6,X4] :
      ( ~ c_Relation_Osingle__valued(c_Relation_Oconverse(X3,X4,X2),X2,X4)
      | c_Relation_OImage(X3,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X4,tc_bool)),X4,X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X3,X1,X4,X2),c_Relation_OImage(X3,X6,X4,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Int__eq_0) ).

fof(f416,axiom,
    ! [X2,X13] :
      ( ~ c_in(X13,c_Relation_OId(X2),tc_prod(X2,X2))
      | c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X13,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X13,X2),X2,X2) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdE_0) ).

fof(f643,axiom,
    ! [X2,X1,X6,X4,X17,X5] :
      ( c_in(X17,hAPP(X6,X5),X4)
      | ~ c_in(c_Pair(X5,X17,X2,X4),c_Product__Type_OSigma(X1,X6,X2,X4),tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD2_0) ).

fof(f560,axiom,
    ! [X2,X0,X16] :
      ( c_in(X0,c_Wellfounded_Oacc(X16,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X16,X0,X2),X0,X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_0) ).

fof(f398,axiom,
    ! [X2,X3,X0] :
      ( c_in(X0,c_Wellfounded_Oacc(X3,X2),X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X3,X0,X2),X0,X2,X2),X3,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_0) ).

fof(f544,axiom,
    ! [X2,X0,X16] :
      ( c_in(X0,c_Wellfounded_Oacc(X16,X2),X2)
      | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X16,X0,X2),c_Wellfounded_Oacc(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_1) ).

fof(f367,axiom,
    ! [X2,X3,X0] :
      ( c_in(X0,c_Wellfounded_Oacc(X3,X2),X2)
      | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X3,X0,X2),c_Wellfounded_Oacc(X3,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_1) ).

fof(f98,axiom,
    ! [X2,X1,X8,X6] :
      ( c_lessequals(X8,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).

fof(f307,axiom,
    ! [X2,X1,X8,X6] :
      ( c_lessequals(X1,X8,tc_fun(X2,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

fof(f308,axiom,
    ! [X2,X1,X8,X6] :
      ( c_lessequals(X6,X8,tc_fun(X2,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

fof(f215,axiom,
    ! [X2,X1,X8,X6] :
      ( c_lessequals(X8,X6,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).

fof(f216,axiom,
    ! [X2,X1,X8,X6] :
      ( c_lessequals(X8,X1,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).

fof(f21,axiom,
    ! [X2,X0,X1,X6] :
      ( c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).

fof(f152,axiom,
    ! [X2,X1,X6] :
      ( c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) != X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).

fof(f127,axiom,
    ! [X2,X1,X18,X4] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = X1
      | c_Set_Oimage(c_COMBK(X18,X2,X4),X1,X4,X2) = c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).

fof(f207,axiom,
    ! [X2,X1,X6] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X6
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).

fof(f208,axiom,
    ! [X2,X1,X6] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X1
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).

fof(f322,axiom,
    ! [X2,X1,X9,X4] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = X1
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oimage(X9,X1,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).

fof(f14,axiom,
    ! [X2,X1,X9,X4] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = X1
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oimage(X9,X1,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).

fof(f162,axiom,
    ! [X2,X1] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = X1
      | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).

fof(f386,axiom,
    ! [X2,X16,X13] :
      ( ~ c_in(X13,X16,tc_prod(X2,X2))
      | c_in(X13,c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).

fof(f456,axiom,
    ! [X2,X16,X13] :
      ( ~ c_in(X13,X16,tc_prod(X2,X2))
      | c_in(X13,c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).

fof(f99,axiom,
    ! [X2,X1,X8,X6] :
      ( ~ c_lessequals(X8,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).

fof(f336,axiom,
    ! [X2,X0,X1,X9,X4] :
      ( ~ c_lessequals(X0,X1,tc_fun(X4,tc_bool))
      | c_lessequals(c_Set_Oimage(X9,X0,X4,X2),c_Set_Oimage(X9,X1,X4,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).

fof(f335,axiom,
    ! [X2,X1,X6,X9,X4] :
      ( ~ c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_lessequals(c_Set_Oimage(X9,X1,X2,X4),c_Set_Oimage(X9,X6,X2,X4),tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).

fof(f84,axiom,
    ! [X2,X1,X6] :
      ( ~ c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X6,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__partition_0) ).

fof(f337,axiom,
    ! [X2,X8,X5,X30] :
      ( ~ c_lessequals(X8,X30,tc_fun(X2,tc_bool))
      | c_lessequals(c_Set_Oinsert(X5,X8,X2),c_Set_Oinsert(X5,X30,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).

fof(f20,axiom,
    ! [X2,X1,X6,X17] :
      ( ~ c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_lessequals(X1,c_Set_Oinsert(X17,X6,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

fof(f150,axiom,
    ! [X2,X1,X6] :
      ( ~ c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

fof(f151,axiom,
    ! [X2,X1,X6] :
      ( ~ c_lessequals(X6,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).

fof(f64,axiom,
    ! [X2,X1,X6] :
      ( ~ c_lessequals(X1,X6,tc_fun(X2,tc_bool))
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).

fof(f65,axiom,
    ! [X2,X1,X6] :
      ( ~ c_lessequals(X6,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).

fof(f493,axiom,
    ! [X2,X16] :
      ( ~ c_Wellfounded_Owf(c_Relation_Oconverse(X16,X2,X2),X2)
      | c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X16,X2),X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__converse__trancl_0) ).

fof(f341,axiom,
    ! [X2,X21,X0,X4,X15] :
      ( ~ hBOOL(hAPP(hAPP(X15,X21),X0))
      | hBOOL(hAPP(hAPP(X15,hAPP(c_snd(X4,X2),c_Pair(X0,X21,X4,X2))),hAPP(c_fst(X4,X2),c_Pair(X0,X21,X4,X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exI__realizer_0) ).

fof(f240,axiom,
    ! [X2,X0,X1,X6] :
      ( c_in(X0,X6,X2)
      | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X0,X1,X2),X6,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).

fof(f246,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,X1,X2)
      | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).

fof(f205,axiom,
    ! [X2,X8,X6,X5] :
      ( c_in(X5,X8,X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X5,X6,X2),X8,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).

fof(f204,axiom,
    ! [X2,X1,X6,X5] :
      ( c_in(X5,X1,X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).

fof(f644,axiom,
    ! [X2,X1,X6,X4,X17,X5] :
      ( c_in(X5,X1,X2)
      | ~ c_in(c_Pair(X5,X17,X2,X4),c_Product__Type_OSigma(X1,X6,X2,X4),tc_prod(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD1_0) ).

fof(f635,axiom,
    ! [X2,X21,X0,X1] :
      ( c_in(X0,X1,X2)
      | ~ c_in(c_Pair(X0,X21,X2,X2),c_Relation_OId__on(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_1) ).

fof(f274,axiom,
    ! [X2,X18,X1,X6] :
      ( c_in(X18,X1,X2)
      | ~ c_in(X18,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).

fof(f273,axiom,
    ! [X2,X18,X1,X6] :
      ( c_in(X18,X6,X2)
      | ~ c_in(X18,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).

fof(f269,axiom,
    ! [X2,X18,X1,X6] :
      ( c_in(X18,X1,X2)
      | ~ c_in(X18,c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_0) ).

fof(f196,axiom,
    ! [X2,X0,X1,X6] :
      ( c_in(X0,X6,X2)
      | ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).

fof(f194,axiom,
    ! [X2,X0,X27] :
      ( c_in(X0,X27,X2)
      | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oinsert(X0,X27,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(f495,axiom,
    ! [X2,X1,X16] :
      ( c_Relation_Orefl__on(X1,X16,X2)
      | ~ c_Relation_Orefl__on(X1,c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_0) ).

fof(f384,axiom,
    ! [X2,X1,X16] :
      ( c_Relation_Ototal__on(X1,X16,X2)
      | ~ c_Relation_Ototal__on(X1,c_HOL_Ominus__class_Ominus(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__diff__Id_0) ).

fof(f550,axiom,
    ! [X2,X1,X16] :
      ( c_Relation_Ototal__on(X1,X16,X2)
      | ~ c_Relation_Ototal__on(X1,c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_0) ).

fof(f242,axiom,
    ! [X2,X0,X1,X6] :
      ( hBOOL(hAPP(X6,X0))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).

fof(f243,axiom,
    ! [X2,X0,X1,X6] :
      ( hBOOL(hAPP(X1,X0))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).

fof(f688,plain,
    ! [X2,X0] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(global_subsumption,[],[f664,f665,f682,f683,f679,f677,f681,f678,f680,f676,f675,f527,f533,f488,f492,f489,f508,f516,f510,f501,f311,f312,f478,f511,f124,f262,f264,f265,f289,f169,f270,f271,f272,f519,f300,f40,f50,f530,f504,f500,f154,f195,f4,f164,f515,f554,f555,f532,f491,f490,f95,f9,f525,f326,f374,f102,f486,f507,f101,f120,f119,f281,f280,f282,f283,f447,f71,f70,f188,f180,f179,f614,f615,f622,f623,f619,f618,f548,f547,f405,f546,f549,f528,f1,f163,f165,f597,f596,f56,f235,f192,f80,f224,f540,f523,f2,f379,f378,f8,f535,f121,f94,f93,f155,f46,f381,f503,f502,f453,f455,f409,f375,f373,f410,f408,f372,f340,f229,f47,f48,f49,f236,f193,f338,f228,f471,f522,f513,f470,f11,f51,f294,f212,f231,f211,f10,f146,f371,f168,f12,f13,f38,f407,f189,f330,f543,f143,f52,f244,f87,f509,f3,f325,f116,f115,f58,f59,f521,f295,f227,f239,f339,f44,f203,f171,f6,f5,f100,f30,f197,f43,f237,f90,f19,f33,f329,f324,f223,f125,f35,f126,f34,f286,f287,f132,f96,f97,f15,f57,f214,f213,f291,f109,f183,f191,f122,f673,f674,f7,f670,f317,f668,f36,f37,f185,f184,f672,f316,f669,f117,f118,f91,f92,f667,f666,f671,f299,f41,f75,f78,f79,f74,f178,f177,f172,f173,f81,f82,f225,f226,f145,f133,f293,f292,f233,f232,f112,f113,f111,f114,f61,f62,f60,f63,f131,f186,f605,f589,f376,f138,f423,f537,f383,f481,f518,f524,f380,f377,f479,f497,f505,f485,f514,f83,f520,f477,f512,f498,f606,f297,f296,f31,f651,f650,f604,f602,f628,f190,f401,f404,f137,f250,f536,f382,f552,f517,f542,f506,f484,f499,f415,f414,f360,f370,f654,f275,f198,f106,f107,f539,f344,f551,f385,f496,f406,f39,f655,f279,f255,f254,f268,f261,f260,f473,f474,f475,f476,f636,f355,f22,f28,f298,f167,f166,f263]) ).

fof(f263,axiom,
    ! [X2,X0,X15] :
      ( hBOOL(hAPP(X15,X0))
      | ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).

fof(f166,axiom,
    ! [X2,X8,X6,X5] :
      ( ~ c_in(X5,X8,X2)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X5,X6,X2),X8,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X5,c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).

fof(f167,axiom,
    ! [X2,X1,X6,X5] :
      ( ~ c_in(X5,X1,X2)
      | c_Set_Oinsert(X5,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).

fof(f298,axiom,
    ! [X2,X1,X5] :
      ( ~ c_in(X5,X1,X2)
      | c_Set_Oinsert(X5,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff_0) ).

fof(f28,axiom,
    ! [X2,X0,X1,X18,X4] :
      ( ~ c_in(X0,X1,X2)
      | c_Set_Oimage(c_COMBK(X18,X4,X2),X1,X2,X4) = c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant_0) ).

fof(f22,axiom,
    ! [X2,X0,X1,X6] :
      ( ~ c_in(X0,X6,X2)
      | c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X0,X1,X2),X6,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).

fof(f355,axiom,
    ! [X2,X0,X1,X9,X4] :
      ( ~ c_in(X0,X1,X2)
      | c_Set_Oimage(X9,X1,X2,X4) = c_Set_Oinsert(hAPP(X9,X0),c_Set_Oimage(X9,X1,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).

fof(f636,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,X1,X2)
      | c_in(c_Pair(X0,X0,X2,X2),c_Relation_OId__on(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__eqI_0) ).

fof(f476,axiom,
    ! [X2,X41,X0,X1,X9] :
      ( ~ c_in(X0,X1,X41)
      | c_in(hAPP(X9,X0),c_Set_Oimage(X9,X1,X41,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

fof(f475,axiom,
    ! [X2,X0,X1,X9,X4] :
      ( ~ c_in(X0,X1,X4)
      | c_in(hAPP(X9,X0),c_Set_Oimage(X9,X1,X4,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).

fof(f474,axiom,
    ! [X2,X0,X1,X9,X4] :
      ( ~ c_in(X0,X1,X4)
      | c_in(hAPP(X9,X0),c_Set_Oimage(X9,X1,X4,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).

fof(f473,axiom,
    ! [X2,X0,X1,X9,X4] :
      ( ~ c_in(X0,X1,X2)
      | c_in(hAPP(X9,X0),c_Set_Oimage(X9,X1,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).

fof(f260,axiom,
    ! [X2,X18,X1,X6] :
      ( ~ c_in(X18,X1,X2)
      | c_in(X18,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).

fof(f261,axiom,
    ! [X2,X18,X1,X6] :
      ( ~ c_in(X18,X6,X2)
      | c_in(X18,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).

fof(f268,axiom,
    ! [X2,X18,X1,X6] :
      ( ~ c_in(X18,X6,X2)
      | ~ c_in(X18,c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_1) ).

fof(f254,axiom,
    ! [X2,X1,X17,X5] :
      ( ~ c_in(X5,X1,X2)
      | c_in(X5,c_Set_Oinsert(X17,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).

fof(f255,axiom,
    ! [X2,X6,X17,X5] :
      ( ~ c_in(X5,X6,X2)
      | c_in(X5,c_Set_Oinsert(X17,X6,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).

fof(f279,axiom,
    ! [X2,X1,X5] :
      ( ~ c_in(X5,X1,X2)
      | c_Set_Oinsert(X5,X1,X2) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f655,axiom,
    ! [X2,X10,X0] :
      ( ~ c_in(X0,X10,X2)
      | hBOOL(hAPP(X10,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f39,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Relation_Orefl__on(X1,X16,X2)
      | c_lessequals(X16,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_0) ).

fof(f406,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Relation_Orefl__on(X1,X16,X2)
      | c_lessequals(X16,c_Relation_Orel__comp(c_Relation_Oconverse(X16,X2,X2),X16,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__comp__subset_0) ).

fof(f496,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Relation_Orefl__on(X1,X16,X2)
      | c_Relation_Orefl__on(X1,c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_1) ).

fof(f385,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Relation_Ototal__on(X1,X16,X2)
      | c_Relation_Ototal__on(X1,c_HOL_Ominus__class_Ominus(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__diff__Id_1) ).

fof(f551,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Relation_Ototal__on(X1,X16,X2)
      | c_Relation_Ototal__on(X1,c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_1) ).

fof(f344,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Equiv__Relations_Oequiv(X1,X16,X2)
      | c_lessequals(X16,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__type_0) ).

fof(f539,axiom,
    ! [X2,X1,X16] :
      ( ~ c_Equiv__Relations_Oequiv(X1,X16,X2)
      | c_Relation_Orefl__on(X1,X16,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Orefl__on_0) ).

fof(f107,axiom,
    ! [X2,X0,X1,X6] :
      ( ~ hBOOL(hAPP(X1,X0))
      | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).

fof(f106,axiom,
    ! [X2,X0,X1,X6] :
      ( ~ hBOOL(hAPP(X6,X0))
      | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).

fof(f198,axiom,
    ! [X2,X21,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | hBOOL(hAPP(c_Set_Oinsert(X21,X1,X2),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f275,axiom,
    ! [X2,X0,X15] :
      ( ~ hBOOL(hAPP(X15,X0))
      | ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).

fof(f654,axiom,
    ! [X2,X10,X0] :
      ( ~ hBOOL(hAPP(X10,X0))
      | c_in(X0,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f370,axiom,
    ! [X2,X3] :
      ( c_Wellfounded_Owf(X3,X2)
      | c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) != c_Relation_Orel__comp(X3,X3,X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__no__loop_0) ).

fof(f360,axiom,
    ! [X2,X21,X0,X16] :
      ( c_Wellfounded_Owf(X16,X2)
      | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X21,X0,X2,X2),X16,tc_prod(X2,X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_0) ).

fof(f414,axiom,
    ! [X2,X16] :
      ( c_Wellfounded_Owf(X16,X2)
      | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X16,X2),c_Wellfounded_Oacc(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__acc__iff_1) ).

fof(f415,axiom,
    ! [X2,X16] :
      ( c_Wellfounded_Owf(X16,X2)
      | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X16,X2),c_Wellfounded_Oacc(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfI_0) ).

fof(f499,axiom,
    ! [X2,X3] :
      ( c_Wellfounded_Owf(X3,X2)
      | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(X3,X3,X2,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_1) ).

fof(f484,axiom,
    ! [X2,X16] :
      ( c_Relation_Osym(X16,X2)
      | ~ c_Relation_Osym(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_0) ).

fof(f506,axiom,
    ! [X2,X16] :
      ( c_Relation_Osym(X16,X2)
      | c_Relation_Oconverse(X16,X2,X2) != X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_1) ).

fof(f542,axiom,
    ! [X2,X1,X16] :
      ( c_Relation_Osym(X16,X2)
      | ~ c_Equiv__Relations_Oequiv(X1,X16,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Osym_0) ).

fof(f517,axiom,
    ! [X2,X16] :
      ( c_Relation_Otrans(X16,X2)
      | ~ c_Relation_Otrans(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_0) ).

fof(f552,axiom,
    ! [X2,X1,X16] :
      ( c_Relation_Otrans(X16,X2)
      | ~ c_Equiv__Relations_Oequiv(X1,X16,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Otrans_0) ).

fof(f382,axiom,
    ! [X2,X16] :
      ( c_Relation_Oantisym(X16,X2)
      | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__reflcl_0) ).

fof(f536,axiom,
    ! [X2,X16] :
      ( c_Relation_Oantisym(X16,X2)
      | ~ c_Relation_Oantisym(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__converse_0) ).

fof(f250,axiom,
    ! [X2,X21,X0,X16] :
      ( c_Wellfounded_Oacyclic(X16,X2)
      | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X21,X0,X2,X2),X16,tc_prod(X2,X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__insert_0) ).

fof(f137,axiom,
    ! [X2,X16] :
      ( c_Wellfounded_Oacyclic(X16,X2)
      | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__converse_0) ).

fof(f404,axiom,
    ! [X2,X16] :
      ( c_Relation_Oirrefl(X16,X2)
      | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X16,X2),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X16,X2),X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__def_1) ).

fof(f401,axiom,
    ! [X2,X16] :
      ( c_Nitpick_Orefl_H(X16,X2)
      | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X16,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X16,X2),X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_1) ).

fof(f190,axiom,
    ! [X2,X17,X5] :
      ( X5 = X17
      | c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).

fof(f628,axiom,
    ! [X17,X5] :
      ( X5 = X17
      | c_in(c_Pair(X5,X17,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X5,X17),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__Lin_1) ).

fof(f602,axiom,
    ! [X2,X21,X0,X1] :
      ( X0 = X21
      | ~ c_in(c_Pair(X0,X21,X2,X2),c_Relation_OId__on(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_0) ).

fof(f604,axiom,
    ! [X2,X17,X5] :
      ( X5 = X17
      | ~ c_in(c_Pair(X5,X17,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_0) ).

fof(f650,axiom,
    ! [X2,X51,X52,X4,X17,X5] :
      ( X17 = X52
      | c_Pair(X5,X17,X2,X4) != c_Pair(X51,X52,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

fof(f651,axiom,
    ! [X2,X51,X52,X4,X17,X5] :
      ( X5 = X51
      | c_Pair(X5,X17,X2,X4) != c_Pair(X51,X52,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

fof(f31,axiom,
    ! [X2,X17,X5] :
      ( X5 = X17
      | ~ c_in(X17,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).

fof(f296,axiom,
    ! [X2,X16,X23] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X16,X23,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int1_0) ).

fof(f297,axiom,
    ! [X2,X16,X23] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X23,X16,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int2_0) ).

fof(f606,axiom,
    ! [X2,X16,X5] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | ~ c_in(c_Pair(X5,X5,X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__irrefl_0) ).

fof(f498,axiom,
    ! [X2,X3] :
      ( ~ c_Wellfounded_Owf(X3,X2)
      | c_Wellfounded_Owf(c_Relation_Orel__comp(X3,X3,X2,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_0) ).

fof(f512,axiom,
    ! [X2,X9,X16,X4] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_Wellfounded_Owf(c_Relation_Oinv__image(X16,X9,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__inv__image_0) ).

fof(f477,axiom,
    ! [X2,X0,X16] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_in(X0,c_Wellfounded_Oacc(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfD_0) ).

fof(f520,axiom,
    ! [X2,X16] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__trancl_0) ).

fof(f83,axiom,
    ! [X2,X16] :
      ( ~ c_Wellfounded_Owf(X16,X2)
      | c_Wellfounded_Oacyclic(X16,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__acyclic_0) ).

fof(f514,axiom,
    ! [X2,X9,X16,X4] :
      ( ~ c_Relation_Osym(X16,X2)
      | c_Relation_Osym(c_Relation_Oinv__image(X16,X9,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__inv__image_0) ).

fof(f485,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Osym(X16,X2)
      | c_Relation_Osym(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_1) ).

fof(f505,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Osym(X16,X2)
      | c_Relation_Oconverse(X16,X2,X2) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_0) ).

fof(f497,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Osym(X16,X2)
      | c_Relation_Osym(c_Transitive__Closure_Ortrancl(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__rtrancl_0) ).

fof(f479,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Osym(X16,X2)
      | c_Relation_Osym(c_Transitive__Closure_Otrancl(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__trancl_0) ).

fof(f377,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Otrans(X16,X2)
      | c_lessequals(c_Relation_Orel__comp(X16,X16,X2,X2,X2),X16,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__O__subset_0) ).

fof(f380,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Otrans(X16,X2)
      | c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__reflclI_0) ).

fof(f524,axiom,
    ! [X2,X9,X16,X4] :
      ( ~ c_Relation_Otrans(X16,X2)
      | c_Relation_Otrans(c_Relation_Oinv__image(X16,X9,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__inv__image_0) ).

fof(f518,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Otrans(X16,X2)
      | c_Relation_Otrans(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_1) ).

fof(f481,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Otrans(X16,X2)
      | c_Transitive__Closure_Otrancl(X16,X2) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__id_0) ).

fof(f383,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Oantisym(X16,X2)
      | c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__reflcl_1) ).

fof(f537,axiom,
    ! [X2,X16] :
      ( ~ c_Relation_Oantisym(X16,X2)
      | c_Relation_Oantisym(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__converse_1) ).

fof(f423,axiom,
    ! [X2,X0,X16] :
      ( ~ c_Wellfounded_Oacyclic(X16,X2)
      | ~ c_in(c_Pair(X0,X0,X2,X2),c_Transitive__Closure_Otrancl(X16,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__def_0) ).

fof(f138,axiom,
    ! [X2,X16] :
      ( ~ c_Wellfounded_Oacyclic(X16,X2)
      | c_Wellfounded_Oacyclic(c_Relation_Oconverse(X16,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__converse_1) ).

fof(f376,axiom,
    ! [X2,X16] :
      ( ~ c_Wellfounded_Oacyclic(X16,X2)
      | c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(X16,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acyclic__impl__antisym__rtrancl_0) ).

fof(f589,axiom,
    ! [X2,X0,X16] :
      ( ~ c_Relation_Oirrefl(X16,X2)
      | ~ c_in(c_Pair(X0,X0,X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

fof(f605,axiom,
    ! [X2,X0,X16] :
      ( ~ c_Nitpick_Orefl_H(X16,X2)
      | c_in(c_Pair(X0,X0,X2,X2),X16,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_0) ).

fof(f186,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X22,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).

fof(f131,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),c_Lattices_Oupper__semilattice__class_Osup(X0,X22,X2),X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).

fof(f63,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X22,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

fof(f60,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X22,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).

fof(f62,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X21,c_Lattices_Oupper__semilattice__class_Osup(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

fof(f61,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X21,c_Lattices_Oupper__semilattice__class_Osup(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).

fof(f114,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X22,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).

fof(f111,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X22,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).

fof(f113,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X21,c_Lattices_Olower__semilattice__class_Oinf(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).

fof(f112,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X21,c_Lattices_Olower__semilattice__class_Oinf(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).

fof(f232,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).

fof(f233,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).

fof(f292,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).

fof(f293,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).

fof(f133,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).

fof(f145,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).

fof(f226,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2) = c_Lattices_Oupper__semilattice__class_Osup(X21,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).

fof(f225,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2) = c_Lattices_Oupper__semilattice__class_Osup(X21,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).

fof(f82,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2) = c_Lattices_Olower__semilattice__class_Oinf(X21,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).

fof(f81,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2) = c_Lattices_Olower__semilattice__class_Oinf(X21,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).

fof(f173,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X21,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).

fof(f172,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).

fof(f177,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X21,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).

fof(f178,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).

fof(f74,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).

fof(f79,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).

fof(f78,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Olattice(X2)
      | c_lessequals(X21,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

fof(f75,axiom,
    ! [X2,X21,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_lessequals(X21,c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).

fof(f41,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X0,X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).

fof(f299,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Olower__semilattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,X0,X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).

fof(f671,axiom,
    ! [X54,X55] :
      ( ~ class_Lattices_Olattice(X55)
      | class_Lattices_Olattice(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

fof(f666,axiom,
    ! [X54,X55] :
      ( ~ class_Lattices_Olattice(X55)
      | class_Lattices_Oupper__semilattice(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f667,axiom,
    ! [X54,X55] :
      ( ~ class_Lattices_Olattice(X55)
      | class_Lattices_Olower__semilattice(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).

fof(f92,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Obounded__lattice(X2)
      | c_Orderings_Obot__class_Obot(X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).

fof(f91,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Obounded__lattice(X2)
      | c_Orderings_Obot__class_Obot(X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Orderings_Obot__class_Obot(X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).

fof(f118,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Obounded__lattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X2),X0,X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).

fof(f117,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Obounded__lattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(X2),X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).

fof(f669,axiom,
    ! [X54,X55] :
      ( ~ class_Lattices_Obounded__lattice(X55)
      | class_Lattices_Obounded__lattice(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

fof(f316,axiom,
    ! [X2,X0] :
      ( ~ class_Orderings_Oorder(X2)
      | c_lessequals(X0,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

fof(f672,axiom,
    ! [X54,X55] :
      ( ~ class_Orderings_Oorder(X55)
      | class_Orderings_Oorder(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f184,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Odistrib__lattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X0,X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X21,X0,X2),c_Lattices_Oupper__semilattice__class_Osup(X22,X0,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).

fof(f185,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Odistrib__lattice(X2)
      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X21,X22,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X21,X2),c_Lattices_Oupper__semilattice__class_Osup(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).

fof(f37,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Odistrib__lattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X0,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X21,X0,X2),c_Lattices_Olower__semilattice__class_Oinf(X22,X0,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).

fof(f36,axiom,
    ! [X2,X21,X0,X22] :
      ( ~ class_Lattices_Odistrib__lattice(X2)
      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X21,X22,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X21,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X22,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).

fof(f668,axiom,
    ! [X54,X55] :
      ( ~ class_Lattices_Odistrib__lattice(X55)
      | class_Lattices_Odistrib__lattice(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).

fof(f317,axiom,
    ! [X2,X0] :
      ( ~ class_Orderings_Opreorder(X2)
      | c_lessequals(X0,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

fof(f670,axiom,
    ! [X54,X55] :
      ( ~ class_Orderings_Opreorder(X55)
      | class_Orderings_Opreorder(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f7,axiom,
    ! [X2,X0] :
      ( ~ class_Orderings_Obot(X2)
      | c_lessequals(c_Orderings_Obot__class_Obot(X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).

fof(f674,axiom,
    ! [X54,X55] :
      ( ~ class_HOL_Oord(X55)
      | class_HOL_Oord(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

fof(f673,axiom,
    ! [X54,X55] :
      ( ~ class_Orderings_Obot(X55)
      | class_Orderings_Obot(tc_fun(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

fof(f122,axiom,
    ! [X2,X1,X6,X4,X17,X5] : c_Product__Type_OSigma(c_Set_Oinsert(X5,X1,X2),c_COMBK(c_Set_Oinsert(X17,X6,X4),tc_fun(X4,tc_bool),X2),X2,X4) = c_Set_Oinsert(c_Pair(X5,X17,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,c_COMBK(c_Set_Oinsert(X17,X6,X4),tc_fun(X4,tc_bool),X2),X2,X4),c_Product__Type_OSigma(c_Set_Oinsert(X5,X1,X2),c_COMBK(X6,tc_fun(X4,tc_bool),X2),X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),tc_prod(X2,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__times__insert_0) ).

fof(f191,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X8,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X8,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).

fof(f183,axiom,
    ! [X2,X1,X8,X6,X4] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Un__distrib1_0) ).

fof(f109,axiom,
    ! [X2,X1,X8,X6,X4] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Int__distrib1_0) ).

fof(f291,axiom,
    ! [X2,X1,X8,X6,X4] : c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(X1,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X2),X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Diff__distrib1_0) ).

fof(f213,axiom,
    ! [X2,X3,X10,X7,X4,X33] : c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X10,X33,tc_fun(tc_prod(X2,X7),tc_bool)),X3,X2,X7,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X10,X3,X2,X7,X4),c_Relation_Orel__comp(X33,X3,X2,X7,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__distrib2_0) ).

fof(f214,axiom,
    ! [X2,X3,X10,X7,X4,X33] : c_Relation_Orel__comp(X3,c_Lattices_Oupper__semilattice__class_Osup(X10,X33,tc_fun(tc_prod(X7,X4),tc_bool)),X2,X7,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X10,X2,X7,X4),c_Relation_Orel__comp(X3,X33,X2,X7,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__distrib_0) ).

fof(f57,axiom,
    ! [X2,X1,X6,X9,X4] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X9,X1,X4,X2),c_Set_Oimage(X9,X6,X4,X2),tc_fun(X2,tc_bool)),c_Set_Oimage(X9,c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X4,tc_bool)),X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).

fof(f15,axiom,
    ! [X2,X3,X10] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X2),c_Transitive__Closure_Ortrancl(X10,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__Un__subset_0) ).

fof(f97,axiom,
    ! [X2,X3,X1,X6,X4] : c_lessequals(c_Relation_OImage(X3,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X4,tc_bool)),X4,X2),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X3,X1,X4,X2),c_Relation_OImage(X3,X6,X4,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Int__subset_0) ).

fof(f96,axiom,
    ! [X2,X1,X6,X9,X4] : c_lessequals(c_Set_Oimage(X9,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X4,tc_bool)),X4,X2),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X9,X1,X4,X2),c_Set_Oimage(X9,X6,X4,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).

fof(f132,axiom,
    ! [X2,X1,X8,X6] : c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X8,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X8,tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).

fof(f287,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X1,tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X8,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).

fof(f286,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).

fof(f34,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X8,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).

fof(f126,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X8,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).

fof(f35,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).

fof(f125,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(X8,c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X8,X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X8,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).

fof(f223,axiom,
    ! [X2,X1,X8,X6] : c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X8,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff_0) ).

fof(f324,axiom,
    ! [X2,X1,X8,X6] : c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Un_0) ).

fof(f329,axiom,
    ! [X2,X1,X8,X6] : c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int_0) ).

fof(f33,axiom,
    ! [X2,X1,X6,X4] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(X1,X2,X4),c_Relation_ODomain(X6,X2,X4),tc_fun(X2,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(tc_prod(X2,X4),tc_bool)),X2,X4),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Diff__subset_0) ).

fof(f19,axiom,
    ! [X2,X1,X6,X4] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(X1,X4,X2),c_Relation_ORange(X6,X4,X2),tc_fun(X2,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Diff__subset_0) ).

fof(f90,axiom,
    ! [X2,X1,X6,X4] : c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(tc_prod(X2,X4),tc_bool)),X2,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X1,X2,X4),c_Relation_ODomain(X6,X2,X4),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Int__subset_0) ).

fof(f237,axiom,
    ! [X2,X1,X6,X4] : c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(X1,X4,X2),c_Relation_ORange(X6,X4,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Int__subset_0) ).

fof(f43,axiom,
    ! [X2,X3,X10,X1,X4] : c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X4,X2),tc_bool)),X1,X4,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X3,X1,X4,X2),c_Relation_OImage(X10,X1,X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Image_0) ).

fof(f197,axiom,
    ! [X2,X8,X19,X4,X20] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X19,X20,tc_fun(X2,tc_bool)),X8,X2,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X19,X8,X2,X4),c_Product__Type_OSigma(X20,X8,X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Un__distrib1_0) ).

fof(f30,axiom,
    ! [X2,X8,X19,X4,X20] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X19,X20,tc_fun(X2,tc_bool)),X8,X2,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X19,X8,X2,X4),c_Product__Type_OSigma(X20,X8,X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Int__distrib1_0) ).

fof(f100,axiom,
    ! [X2,X8,X19,X4,X20] : c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(X19,X20,tc_fun(X2,tc_bool)),X8,X2,X4) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(X19,X8,X2,X4),c_Product__Type_OSigma(X20,X8,X2,X4),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Diff__distrib1_0) ).

fof(f5,axiom,
    ! [X2,X1,X6,X5] : c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).

fof(f6,axiom,
    ! [X2,X1,X6,X5] : c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert_0) ).

fof(f171,axiom,
    ! [X2,X11,X16,X4] : c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X16,X11,tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X16,X4,X2),c_Relation_Oconverse(X11,X4,X2),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Un_0) ).

fof(f203,axiom,
    ! [X2,X11,X16,X4] : c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X16,X11,tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X16,X4,X2),c_Relation_Oconverse(X11,X4,X2),tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Int_0) ).

fof(f44,axiom,
    ! [X2,X3,X1,X6,X4] : c_Relation_OImage(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X4,tc_bool)),X4,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X3,X1,X4,X2),c_Relation_OImage(X3,X6,X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Un_0) ).

fof(f339,axiom,
    ! [X2,X1,X6,X9,X4] : c_Set_Oimage(X9,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X4,tc_bool)),X4,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X9,X1,X4,X2),c_Set_Oimage(X9,X6,X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).

fof(f239,axiom,
    ! [X2,X3,X10] : c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X10,tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X2),c_Transitive__Closure_Ortrancl(X10,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__Un__rtrancl_0) ).

fof(f227,axiom,
    ! [X2,X1,X6,X4] : c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(tc_prod(X2,X4),tc_bool)),X2,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X4),c_Relation_ODomain(X6,X2,X4),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Un__eq_0) ).

fof(f295,axiom,
    ! [X2,X1,X6,X4] : c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(X1,X4,X2),c_Relation_ORange(X6,X4,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Un__eq_0) ).

fof(f521,axiom,
    ! [X2,X3,X10,X7,X4,X42,X33] : c_Relation_Orel__comp(c_Relation_Orel__comp(X3,X10,X2,X42,X7),X33,X2,X7,X4) = c_Relation_Orel__comp(X3,c_Relation_Orel__comp(X10,X33,X42,X7,X4),X2,X42,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_O__assoc_0) ).

fof(f59,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).

fof(f58,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

fof(f115,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_0) ).

fof(f116,axiom,
    ! [X2,X1,X8,X6] : c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X1,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).

fof(f325,axiom,
    ! [X2,X1,X8,X6] : c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X8,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X6,X8,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Diff_0) ).

fof(f3,axiom,
    ! [X2,X1,X6,X5] : c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X5,X1,X2),c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X5,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).

fof(f509,axiom,
    ! [X2,X11,X16,X7,X4] : c_Relation_Oconverse(c_Relation_Orel__comp(X16,X11,X4,X7,X2),X4,X2) = c_Relation_Orel__comp(c_Relation_Oconverse(X11,X7,X2),c_Relation_Oconverse(X16,X4,X7),X2,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rel__comp_0) ).

fof(f87,axiom,
    ! [X2,X16,X4,X17,X5] : c_Relation_ODomain(c_Set_Oinsert(c_Pair(X5,X17,X2,X4),X16,tc_prod(X2,X4)),X2,X4) = c_Set_Oinsert(X5,c_Relation_ODomain(X16,X2,X4),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__insert_0) ).

fof(f244,axiom,
    ! [X2,X16,X4,X17,X5] : c_Relation_ORange(c_Set_Oinsert(c_Pair(X5,X17,X4,X2),X16,tc_prod(X4,X2)),X4,X2) = c_Set_Oinsert(X17,c_Relation_ORange(X16,X4,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__insert_0) ).

fof(f52,axiom,
    ! [X2,X0,X27] : c_Set_Oinsert(X27,c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).

fof(f143,axiom,
    ! [X2,X7,X4,X15,X22] : hAPP(c_split(X15,X4,X7,X2),X22) = hAPP(hAPP(X15,hAPP(c_fst(X4,X7),X22)),hAPP(c_snd(X4,X7),X22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__beta_0) ).

fof(f543,axiom,
    ! [X2,X36,X1,X9,X7,X4] : c_Set_Oimage(X9,c_Set_Oimage(X36,X1,X7,X4),X4,X2) = c_Set_Oimage(c_COMBB(X9,X36,X4,X2,X7),X1,X7,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).

fof(f330,axiom,
    ! [X2,X1,X4] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)) = c_Product__Type_OSigma(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool),X2),X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__empty2_0) ).

fof(f189,axiom,
    ! [X2,X1,X5] : c_Set_Oinsert(X5,X1,X2) = c_Set_Oinsert(X5,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).

fof(f407,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X2),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X16,X2),X16,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__unfold_0) ).

fof(f38,axiom,
    ! [X2,X1] : c_lessequals(c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__subset__Times_0) ).

fof(f13,axiom,
    ! [X2,X8,X6,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X5,X6,X2),X8,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X5,c_Lattices_Oupper__semilattice__class_Osup(X6,X8,tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).

fof(f12,axiom,
    ! [X2,X1,X6,X5] : c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X5,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).

fof(f168,axiom,
    ! [X2,X6,X9,X4,X5] : c_Set_Oimage(X9,c_Set_Oinsert(X5,X6,X4),X4,X2) = c_Set_Oinsert(hAPP(X9,X5),c_Set_Oimage(X9,X6,X4,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).

fof(f371,axiom,
    ! [X2,X16] : c_Transitive__Closure_Otrancl(X16,X2) = c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X16,X2),X16,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold_0) ).

fof(f146,axiom,
    ! [X2,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).

fof(f10,axiom,
    ! [X2,X3,X7,X4] : c_Relation_Orel__comp(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X7,X4),tc_bool)),X2,X7,X4) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__empty2_0) ).

fof(f211,axiom,
    ! [X2,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X6,X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).

fof(f231,axiom,
    ! [X2,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).

fof(f212,axiom,
    ! [X2,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X6,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).

fof(f294,axiom,
    ! [X2,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).

fof(f51,axiom,
    ! [X2,X1,X6] : c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).

fof(f11,axiom,
    ! [X2,X3,X7,X4] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)) = c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X7),tc_bool)),X3,X2,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__empty1_0) ).

fof(f470,axiom,
    ! [X2,X9,X7,X4,X17,X5] : hAPP(c_split(X9,X4,X7,X2),c_Pair(X5,X17,X4,X7)) = hAPP(hAPP(X9,X5),X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_Osplit_0) ).

fof(f513,axiom,
    ! [X2,X16] : c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X16,X2),X16,X2,X2,X2) = c_Relation_Orel__comp(X16,c_Transitive__Closure_Ortrancl(X16,X2),X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__comp__rtrancl__eq_0) ).

fof(f522,axiom,
    ! [X2,X3,X9,X4] : c_Relation_Oconverse(c_Relation_Oinv__image(X3,X9,X4,X2),X2,X2) = c_Relation_Oinv__image(c_Relation_Oconverse(X3,X4,X4),X9,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__inv__image_0) ).

fof(f471,axiom,
    ! [X2,X9,X7,X4,X17,X5] : hAPP(hAPP(X9,X5),X17) = hAPP(c_split(X9,X2,X4,X7),c_Pair(X5,X17,X2,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__case__cert_0) ).

fof(f228,axiom,
    ! [X2,X1,X5] : c_Set_Oinsert(X5,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).

fof(f338,axiom,
    ! [X2] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).

fof(f193,axiom,
    ! [X2,X18,X4] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Oimage(c_COMBK(X18,X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).

fof(f236,axiom,
    ! [X2,X1,X6] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X6,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).

fof(f49,axiom,
    ! [X2,X4,X13] : c_Pair(hAPP(c_fst(X2,X4),X13),hAPP(c_snd(X2,X4),X13),X2,X4) = X13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__collapse_0) ).

fof(f48,axiom,
    ! [X2,X4,X12] : c_Pair(hAPP(c_fst(X2,X4),X12),hAPP(c_snd(X2,X4),X12),X2,X4) = X12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_surjective__pairing_0) ).

fof(f47,axiom,
    ! [X2,X21,X0,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X21,X1,X2),X2) = c_Set_Oinsert(X21,c_Set_Oinsert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).

fof(f229,axiom,
    ! [X2,X6,X4] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)) = c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X6,X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__empty1_0) ).

fof(f340,axiom,
    ! [X2] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__empty_0) ).

fof(f372,axiom,
    ! [X2,X3] : c_Transitive__Closure_Ortrancl(X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__reflcl__absorb_0) ).

fof(f408,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X16,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_reflcl__trancl_0) ).

fof(f410,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X16,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Ortrancl__def_0) ).

fof(f373,axiom,
    ! [X2,X3] : c_Transitive__Closure_Ortrancl(X3,X2) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__reflcl_0) ).

fof(f375,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__r__diff__Id_0) ).

fof(f409,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__reflcl_0) ).

fof(f455,axiom,
    ! [X2,X3,X4] : c_Set_Oimage(c_fst(X2,X4),X3,tc_prod(X2,X4),X2) = c_Relation_ODomain(X3,X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fst__eq__Domain_0) ).

fof(f453,axiom,
    ! [X2,X3,X4] : c_Set_Oimage(c_snd(X4,X2),X3,tc_prod(X4,X2),X2) = c_Relation_ORange(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_snd__eq__Range_0) ).

fof(f502,axiom,
    ! [X2,X3,X26,X7,X4,X15] : hAPP(c_COMBC(X15,X26,X4,X7,X2),X3) = hAPP(hAPP(X15,X3),X26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).

fof(f503,axiom,
    ! [X2,X3,X26,X7,X4,X15] : hAPP(c_COMBB(X15,X26,X4,X2,X7),X3) = hAPP(X15,hAPP(X26,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBB__def_0) ).

fof(f381,axiom,
    ! [X2,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = c_Relation_OImage(c_Relation_OId__on(X1,X2),X6,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id__on_0) ).

fof(f46,axiom,
    ! [X2,X4] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X4),tc_bool)),X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__empty_0) ).

fof(f155,axiom,
    ! [X2,X4] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X2),tc_bool)),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__empty_0) ).

fof(f93,axiom,
    ! [X2,X6] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).

fof(f94,axiom,
    ! [X2,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).

fof(f121,axiom,
    ! [X2,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__Diff_0) ).

fof(f535,axiom,
    ! [X2,X3] : c_Transitive__Closure_Ortrancl(X3,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X3,X2),c_Transitive__Closure_Ortrancl(X3,X2),X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp__self__comp_0) ).

fof(f8,axiom,
    ! [X2,X6] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X6,tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__by__empty_0) ).

fof(f378,axiom,
    ! [X2,X16] : c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X16,c_Relation_Oconverse(X16,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Un__converse_0) ).

fof(f379,axiom,
    ! [X2,X16] : c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X16,c_Relation_Oconverse(X16,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Int__converse_0) ).

fof(f2,axiom,
    ! [X2,X3,X4] : c_Relation_OImage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__empty_0) ).

fof(f523,axiom,
    ! [X2,X16] : c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X16,X2),X2,X2) = c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X16,X2,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converse_0) ).

fof(f540,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X16,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X16,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).

fof(f224,axiom,
    ! [X2,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

fof(f80,axiom,
    ! [X2,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).

fof(f192,axiom,
    ! [X2] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) = c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__empty_0) ).

fof(f235,axiom,
    ! [X2,X9,X4] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Oimage(X9,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).

fof(f56,axiom,
    ! [X2,X9,X4] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Oimage(X9,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).

fof(f596,axiom,
    ! [X2,X16,X5] : c_in(c_Pair(X5,X5,X2,X2),c_Transitive__Closure_Ortrancl(X16,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).

fof(f597,axiom,
    ! [X2,X3,X0] : c_in(c_Pair(X0,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).

fof(f165,axiom,
    ! [X2] : c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__empty_0) ).

fof(f163,axiom,
    ! [X2] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).

fof(f528,axiom,
    ! [X2,X16,X4] : c_Relation_ODomain(X16,X2,X4) = c_Relation_ORange(c_Relation_Oconverse(X16,X2,X4),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__converse_0) ).

fof(f549,axiom,
    ! [X2,X16,X4] : c_Relation_ORange(X16,X4,X2) = c_Relation_ODomain(c_Relation_Oconverse(X16,X4,X2),X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def_0) ).

fof(f546,axiom,
    ! [X2,X16,X4] : c_Relation_ORange(X16,X4,X2) = c_Relation_ODomain(c_Relation_Oconverse(X16,X4,X2),X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__converse_0) ).

fof(f405,axiom,
    c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def__raw_0) ).

fof(f547,axiom,
    ! [X2,X16] : c_Transitive__Closure_Otrancl(X16,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X16,X2),X16,X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__right_0) ).

fof(f548,axiom,
    ! [X2,X16] : c_Transitive__Closure_Otrancl(X16,X2) = c_Relation_Orel__comp(X16,c_Transitive__Closure_Ortrancl(X16,X2),X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__left_0) ).

fof(f618,axiom,
    ! [X50,X0] : ~ c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X50,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_1) ).

fof(f619,axiom,
    ! [X50,X21,X0] : ~ c_in(c_Pair(X0,X21,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X50,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_0) ).

fof(f623,axiom,
    ! [X50,X0,X27] : ~ c_in(c_Pair(X27,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X50,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_0) ).

fof(f622,axiom,
    ! [X50,X0] : ~ c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X50,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_1) ).

fof(f615,axiom,
    ! [X2,X5] : c_in(c_Pair(X5,X5,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdI_0) ).

fof(f614,axiom,
    ! [X2,X0] : c_in(c_Pair(X0,X0,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).

fof(f179,axiom,
    ! [X2,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).

fof(f180,axiom,
    ! [X2,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X6,tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).

fof(f188,axiom,
    ! [X2,X1,X6] : c_lessequals(c_HOL_Ominus__class_Ominus(X1,X6,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset_0) ).

fof(f70,axiom,
    ! [X2,X1,X6] : c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

fof(f71,axiom,
    ! [X2,X1,X6] : c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

fof(f447,axiom,
    ! [X2,X16] : c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(X16,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__diff__Id_0) ).

fof(f283,axiom,
    ! [X2,X21,X0,X4] : hAPP(c_snd(X4,X2),c_Pair(X0,X21,X4,X2)) = X21,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_snd__eqD_0) ).

fof(f282,axiom,
    ! [X2,X4,X17,X5] : hAPP(c_snd(X4,X2),c_Pair(X5,X17,X4,X2)) = X17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_snd__conv_0) ).

fof(f280,axiom,
    ! [X2,X4,X17,X5] : hAPP(c_fst(X2,X4),c_Pair(X5,X17,X2,X4)) = X5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fst__conv_0) ).

fof(f281,axiom,
    ! [X2,X21,X0,X4] : hAPP(c_fst(X2,X4),c_Pair(X0,X21,X2,X4)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fst__eqD_0) ).

fof(f119,axiom,
    ! [X2,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X6,tc_fun(X2,tc_bool)) = X6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).

fof(f120,axiom,
    ! [X2,X1] : c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).

fof(f101,axiom,
    ! [X2,X1] : c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__empty_0) ).

fof(f507,axiom,
    ! [X2,X16] : c_Relation_ORange(c_Transitive__Closure_Otrancl(X16,X2),X2,X2) = c_Relation_ORange(X16,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__range_0) ).

fof(f486,axiom,
    ! [X2,X16] : c_Relation_ODomain(X16,X2,X2) = c_Relation_ODomain(c_Transitive__Closure_Otrancl(X16,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__domain_0) ).

fof(f102,axiom,
    ! [X2,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).

fof(f374,axiom,
    ! [X2] : c_Relation_OId(X2) = c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__empty_0) ).

fof(f326,axiom,
    ! [X2,X0] : c_in(X0,c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).

fof(f525,axiom,
    ! [X2,X1] : c_Relation_OId__on(X1,X2) = c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id__on_0) ).

fof(f9,axiom,
    ! [X2,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

fof(f95,axiom,
    ! [X2,X6,X5] : c_lessequals(X6,c_Set_Oinsert(X5,X6,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

fof(f490,axiom,
    ! [X2,X3,X4] : c_Relation_Orel__comp(c_Relation_OId(X2),X3,X2,X2,X4) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__O__R_0) ).

fof(f491,axiom,
    ! [X2,X3,X4] : c_Relation_Orel__comp(X3,c_Relation_OId(X4),X2,X4,X4) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_R__O__Id_0) ).

fof(f532,axiom,
    ! [X2,X16,X4] : c_Relation_Oconverse(c_Relation_Oconverse(X16,X2,X4),X4,X2) = X16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__converse_0) ).

fof(f555,axiom,
    ! [X2,X16] : c_Transitive__Closure_Ortrancl(X16,X2) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X16,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).

fof(f554,axiom,
    ! [X2,X3] : c_Transitive__Closure_Ortrancl(X3,X2) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X3,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__absorb_0) ).

fof(f515,axiom,
    ! [X2,X3] : c_Transitive__Closure_Ortrancl(X3,X2) = c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X3,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__absorb_0) ).

fof(f164,axiom,
    ! [X2,X1,X5] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oinsert(X5,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

fof(f4,axiom,
    ! [X2,X1,X5] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oinsert(X5,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).

fof(f195,axiom,
    ! [X2] : c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__empty_0) ).

fof(f154,axiom,
    ! [X2] : c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__empty_0) ).

fof(f500,axiom,
    ! [X2,X1] : c_Relation_OImage(c_Relation_OId(X2),X1,X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id_0) ).

fof(f504,axiom,
    ! [X2,X1] : c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Id__on_0) ).

fof(f530,axiom,
    ! [X2,X1] : c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Id__on_0) ).

fof(f50,axiom,
    ! [X2,X26,X4,X15] : hAPP(c_COMBK(X15,X2,X4),X26) = X15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).

fof(f40,axiom,
    ! [X2,X1] : c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

fof(f300,axiom,
    ! [X2,X1] : c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).

fof(f519,axiom,
    ! [X2] : c_Relation_OId(X2) = c_Relation_Oconverse(c_Relation_OId(X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id_0) ).

fof(f272,axiom,
    ! [X2,X0,X6] : c_in(X0,c_Set_Oinsert(X0,X6,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

fof(f271,axiom,
    ! [X2,X6,X5] : c_in(X5,c_Set_Oinsert(X5,X6,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).

fof(f270,axiom,
    ! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).

fof(f169,axiom,
    ! [X2,X16] : c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X16,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__empty_0) ).

fof(f289,axiom,
    ! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f265,axiom,
    ! [X2,X5] : ~ c_in(X5,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

fof(f264,axiom,
    ! [X2,X18] : ~ c_in(X18,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).

fof(f262,axiom,
    ! [X2,X0] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

fof(f124,axiom,
    ! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f511,axiom,
    ! [X2,X1] : c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__Id__on_0) ).

fof(f478,axiom,
    ! [X2,X1] : c_Relation_Osingle__valued(c_Relation_OId__on(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__valued__Id__on_0) ).

fof(f312,axiom,
    ! [X2,X1] : c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f311,axiom,
    ! [X2,X0] : c_lessequals(X0,X0,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).

fof(f501,axiom,
    ! [X2] : c_Relation_Osingle__valued(c_Relation_OId(X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__valued__Id_0) ).

fof(f510,axiom,
    ! [X2,X1] : c_Relation_Osym(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id__on_0) ).

fof(f516,axiom,
    ! [X2,X16] : c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X16,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__rtrancl_0) ).

fof(f508,axiom,
    ! [X2,X16] : c_Relation_Otrans(c_Transitive__Closure_Otrancl(X16,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__trancl_0) ).

fof(f489,axiom,
    ! [X2,X1] : c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id__on_0) ).

fof(f492,axiom,
    ! [X2,X1] : c_Relation_Oantisym(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__Id__on_0) ).

fof(f488,axiom,
    ! [X2] : c_Relation_Osym(c_Relation_OId(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id_0) ).

fof(f533,axiom,
    ! [X2] : c_Relation_Otrans(c_Relation_OId(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id_0) ).

fof(f527,axiom,
    ! [X2] : c_Relation_Oantisym(c_Relation_OId(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__Id_0) ).

fof(f675,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

fof(f676,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

fof(f680,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

fof(f678,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

fof(f681,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f677,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).

fof(f679,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f683,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f682,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

fof(f665,axiom,
    ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f664,axiom,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SCT057-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Apr 29 22:22:19 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (12477)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.43  % (12480)WARNING: value z3 for option sas not known
% 0.16/0.43  % (12481)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.43  % (12478)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.43  % (12483)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.43  % (12484)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.43  % (12482)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.43  % (12480)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.43  % (12479)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.45  % (12480)First to succeed.
% 0.22/0.46  % (12480)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (12480)------------------------------
% 0.22/0.46  % (12480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46  % (12480)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (12480)Memory used [KB]: 1556
% 0.22/0.46  % (12480)Time elapsed: 0.029 s
% 0.22/0.46  % (12480)Instructions burned: 56 (million)
% 0.22/0.46  % (12480)------------------------------
% 0.22/0.46  % (12480)------------------------------
% 0.22/0.46  % (12477)Success in time 0.092 s
%------------------------------------------------------------------------------