TSTP Solution File: SCT070-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT070-1 : 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 : n031.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 14:55:36 EDT 2024
% Result : Unsatisfiable 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 634
% Syntax : Number of formulae : 651 ( 184 unt; 0 def)
% Number of atoms : 1360 ( 324 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1359 ( 650 ~; 709 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 11 con; 0-7 aty)
% Number of variables : 2197 (2197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f705,plain,
$false,
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661,f698,f662,f699,f700,f660,f701,f702,f659,f703,f598,f599,f583,f584,f393,f117,f571,f559,f368,f366,f365,f367,f624,f616,f623,f615,f578,f247,f419,f663,f704,f664]) ).
fof(f664,axiom,
( v_a____ = v_b_H____
| v_b____ = v_a_H____
| ~ 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_H____,v_b_H____,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).
fof(f704,plain,
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)),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661,f698,f662,f699,f700,f660,f701,f702,f659,f703,f598,f599,f583,f584,f393,f117,f571,f559,f368,f366,f365,f367,f624,f616,f623,f615,f578,f247,f419,f663]) ).
fof(f663,axiom,
( v_a____ = v_b_H____
| v_b____ = v_a_H____
| ~ c_in(c_Pair(v_a_H____,v_b_H____,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_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).
fof(f419,axiom,
! [X0,X18,X1,X19,X17] :
( X17 = X18
| c_in(X17,X0,X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| ~ c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__subset__Sigma__aux_0) ).
fof(f247,axiom,
! [X2,X0,X1,X6] :
( X0 = X6
| c_in(X2,X0,X1)
| c_in(X2,X6,X1)
| c_Set_Oinsert(X2,X0,X1) != c_Set_Oinsert(X2,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
fof(f578,axiom,
! [X2,X1,X19,X9,X16,X5] :
( X9 = X16
| ~ c_Relation_Osingle__valued(X19,X1,X5)
| ~ c_in(c_Pair(X2,X9,X1,X5),X19,tc_prod(X1,X5))
| ~ c_in(c_Pair(X2,X16,X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__valuedD_0) ).
fof(f615,axiom,
! [X2,X49,X9,X16] :
( X2 = X16
| X2 = X9
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_5) ).
fof(f623,axiom,
! [X2,X49,X9,X16] :
( X9 = X16
| X2 = X9
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_5) ).
fof(f616,axiom,
! [X2,X49,X9,X16] :
( X2 = X16
| X9 = X16
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_3) ).
fof(f624,axiom,
! [X2,X49,X9,X16] :
( X9 = X16
| X2 = X16
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_3) ).
fof(f367,axiom,
! [X3,X1,X9,X7,X33] :
( ~ c_Wellfounded_Owf(X3,X1)
| hBOOL(hAPP(X7,X33))
| hBOOL(hAPP(X7,X9))
| ~ c_in(c_Pair(X9,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X7,X3,X1),X1,X1),X3,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tfl__wf__induct_0) ).
fof(f365,axiom,
! [X1,X19,X9,X7,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X17))
| hBOOL(hAPP(X7,X9))
| ~ c_in(c_Pair(X9,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X7,X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__induct__rule_0) ).
fof(f366,axiom,
! [X11,X1,X19,X9,X7] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X11))
| hBOOL(hAPP(X7,X9))
| ~ c_in(c_Pair(X9,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X7,X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__def_0) ).
fof(f368,axiom,
! [X1,X19,X9,X7,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X17))
| hBOOL(hAPP(X7,X9))
| ~ c_in(c_Pair(X9,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X7,X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__induct_0) ).
fof(f559,axiom,
! [X2,X3,X10,X1,X9] :
( ~ c_Wellfounded_Owf(X3,X1)
| ~ c_in(X2,X10,X1)
| ~ c_in(X9,X10,X1)
| ~ c_in(c_Pair(X9,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X10,X3,X1),X1,X1),X3,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfE__min_1) ).
fof(f571,axiom,
! [X10,X11,X1,X19,X9] :
( ~ c_Wellfounded_Owf(X19,X1)
| ~ c_in(X11,X10,X1)
| ~ c_in(X9,X10,X1)
| ~ c_in(c_Pair(X9,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X10,X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__eq__minimal_1) ).
fof(f117,axiom,
! [X1,X19,X23] :
( ~ c_Wellfounded_Owf(X23,X1)
| ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X19,X1,X1),c_Relation_ORange(X23,X1,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__Un_0) ).
fof(f393,axiom,
! [X3,X1,X4] :
( ~ c_Wellfounded_Owf(X3,X1)
| ~ c_Wellfounded_Owf(X4,X1)
| c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_lessequals(c_Relation_Orel__comp(X3,X4,X1,X1,X1),X3,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__compatible_0) ).
fof(f584,axiom,
! [X1,X18,X19,X17,X20] :
( ~ c_Relation_Otrans(X19,X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_transD_0) ).
fof(f583,axiom,
! [X2,X1,X19,X9,X16] :
( ~ c_Relation_Otrans(X19,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X9,X16,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(X2,X16,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__def_0) ).
fof(f599,axiom,
! [X1,X18,X19,X17] :
( ~ c_Relation_Oantisym(X19,X1)
| X17 = X18
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisymD_0) ).
fof(f598,axiom,
! [X2,X1,X19,X9] :
( ~ c_Relation_Oantisym(X19,X1)
| X2 = X9
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__def_0) ).
fof(f703,plain,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| 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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661,f698,f662,f699,f700,f660,f701,f702,f659]) ).
fof(f659,axiom,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| ~ c_in(c_Pair(v_a_H____,v_b_H____,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_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_01) ).
fof(f702,plain,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| c_in(c_Pair(v_b____,v_b_H____,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)) ),
inference(inner_rewriting,[],[f701]) ).
fof(f701,plain,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| c_in(c_Pair(v_a_H____,v_b_H____,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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661,f698,f662,f699,f700,f660]) ).
fof(f660,axiom,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| ~ 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_H____,v_b_H____,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f700,plain,
( v_a____ != v_b_H____
| v_b____ = v_a_H____
| c_in(c_Pair(v_a_H____,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)) ),
inference(inner_rewriting,[],[f699]) ).
fof(f699,plain,
( v_a____ != v_b_H____
| v_b____ = v_a_H____
| c_in(c_Pair(v_a_H____,v_b_H____,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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661,f698,f662]) ).
fof(f662,axiom,
( v_a____ != v_b_H____
| v_b____ = v_a_H____
| ~ 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_H____,v_b_H____,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f698,plain,
( v_a____ != v_b_H____
| v_b____ = v_a_H____
| 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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657,f697,f661]) ).
fof(f661,axiom,
( v_a____ != v_b_H____
| v_b____ = v_a_H____
| ~ c_in(c_Pair(v_a_H____,v_b_H____,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_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_03) ).
fof(f697,plain,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| 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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658,f694,f695,f696,f657]) ).
fof(f657,axiom,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| ~ c_in(c_Pair(v_a_H____,v_b_H____,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_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f696,plain,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| 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)) ),
inference(inner_rewriting,[],[f695]) ).
fof(f695,plain,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| c_in(c_Pair(v_a_H____,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)) ),
inference(inner_rewriting,[],[f694]) ).
fof(f694,plain,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| c_in(c_Pair(v_a_H____,v_b_H____,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)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200,f693,f416,f386,f631,f630,f562,f563,f314,f450,f602,f449,f423,f394,f418,f611,f610,f589,f590,f462,f461,f592,f591,f377,f372,f376,f374,f375,f370,f612,f471,f470,f594,f396,f440,f444,f445,f443,f441,f273,f274,f272,f35,f34,f31,f658]) ).
fof(f658,axiom,
( v_a____ != v_b_H____
| v_b____ != v_a_H____
| ~ 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_H____,v_b_H____,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f31,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X17,X2,X1)
| ~ c_lessequals(X18,X2,X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X18,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
fof(f34,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X9,X2,X1)
| ~ c_lessequals(X16,X2,X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
fof(f35,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X16,X1)
| ~ c_lessequals(X9,X16,X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X16,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
fof(f272,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X9,X1)
| ~ c_lessequals(X2,X16,X1)
| c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__greatest_0) ).
fof(f274,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X17,X1)
| ~ c_lessequals(X2,X18,X1)
| c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X17,X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI_0) ).
fof(f273,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X9,X1)
| ~ c_lessequals(X2,X16,X1)
| c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
fof(f441,axiom,
! [X2,X1,X9,X16] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X9,X2,X1)
| ~ c_lessequals(X16,X9,X1)
| c_lessequals(X16,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
fof(f443,axiom,
! [X2,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| X2 = X9
| ~ c_lessequals(X9,X2,X1)
| ~ c_lessequals(X2,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
fof(f445,axiom,
! [X2,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| X2 = X9
| ~ c_lessequals(X2,X9,X1)
| ~ c_lessequals(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
fof(f444,axiom,
! [X2,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| X2 = X9
| ~ c_lessequals(X2,X9,X1)
| ~ c_lessequals(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
fof(f440,axiom,
! [X2,X1,X9,X16] :
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X9,X1)
| ~ c_lessequals(X9,X16,X1)
| c_lessequals(X2,X16,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
fof(f396,axiom,
! [X0,X1,X19,X6,X27,X15,X5,X23] :
( ~ c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X6,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool))
| ~ c_lessequals(X23,c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X27,tc_bool),X5),X5,X27),tc_fun(tc_prod(X5,X27),tc_bool))
| c_lessequals(c_Relation_Orel__comp(X19,X23,X1,X5,X27),c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X27,tc_bool),X1),X1,X27),tc_fun(tc_prod(X1,X27),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__subset__Sigma_0) ).
fof(f594,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__trans_0) ).
fof(f470,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__rtrancl__trancl_0) ).
fof(f471,axiom,
! [X2,X1,X19,X9,X16] :
( ~ c_in(c_Pair(X9,X16,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X16,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__trancl__trancl_0) ).
fof(f612,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__trans_0) ).
fof(f370,axiom,
! [X2,X1,X19,X16] :
( c_in(c_Pair(X2,X16,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X16,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X19,X2,X16,X1),X16,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__tranclE_1) ).
fof(f375,axiom,
! [X18,X1,X19,X17] :
( c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X17,X18,X19,X1),X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclE_0) ).
fof(f374,axiom,
! [X18,X1,X19,X17] :
( c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X17,X18,X19,X1),X18,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclE_1) ).
fof(f376,axiom,
! [X2,X1,X19,X16] :
( c_in(c_Pair(X2,X16,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X16,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X19,X2,X16,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__tranclE_0) ).
fof(f372,axiom,
! [X31,X19,X32] :
( c_in(c_Pair(X31,X32,t_a,t_a),X19,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X31,X32,t_a,t_a),c_Transitive__Closure_Otrancl(X19,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X31,v_sko__Transitive__Closure__Xtrancl__Xcases__1(X31,X32,X19),t_a,t_a),c_Transitive__Closure_Otrancl(X19,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl_Ocases_0) ).
fof(f377,axiom,
! [X31,X19,X32] :
( c_in(c_Pair(X31,X32,t_a,t_a),X19,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X31,X32,t_a,t_a),c_Transitive__Closure_Otrancl(X19,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(X31,X32,X19),X32,t_a,t_a),X19,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl_Ocases_1) ).
fof(f591,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X18,X20,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__into__rtrancl_0) ).
fof(f592,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__rtrancl__into__rtrancl_0) ).
fof(f461,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__into__trancl2_0) ).
fof(f462,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X18,X20,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__into__trancl1_0) ).
fof(f590,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__into__trancl2_0) ).
fof(f589,axiom,
! [X18,X1,X19,X17,X20] :
( ~ c_in(c_Pair(X18,X20,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__trancl_0) ).
fof(f610,axiom,
! [X18,X1,X19,X27,X17,X5,X23,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5))
| ~ c_in(c_Pair(X18,X20,X5,X27),X23,tc_prod(X5,X27))
| c_in(c_Pair(X17,X20,X1,X27),c_Relation_Orel__comp(X19,X23,X1,X5,X27),tc_prod(X1,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__compI_0) ).
fof(f611,axiom,
! [X3,X18,X1,X17,X20] :
( ~ c_in(c_Pair(X17,X18,X1,X1),X3,tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X20,X1,X1),X3,tc_prod(X1,X1))
| c_in(c_Pair(X17,X20,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__r__into__trancl_0) ).
fof(f418,axiom,
! [X1,X19,X23] :
( ~ c_lessequals(c_Relation_OId(X1),X23,tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Ortrancl(X19,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool))
| ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X19,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool)),X19,X1,X1,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Int__subset_0) ).
fof(f394,axiom,
! [X1,X19,X23] :
( ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Otrancl(X19,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool))
| ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(X19,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool)),X19,X1,X1,X1),X23,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__Int__subset_0) ).
fof(f423,axiom,
! [X1,X19,X34,X23] :
( ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool))
| ~ c_in(X34,c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(X34,c_Transitive__Closure_Otrancl(X23,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__mono_0) ).
fof(f449,axiom,
! [X36,X1,X19,X27,X5,X23,X30] :
( ~ c_lessequals(X30,X19,tc_fun(tc_prod(X1,X5),tc_bool))
| ~ c_lessequals(X36,X23,tc_fun(tc_prod(X5,X27),tc_bool))
| c_lessequals(c_Relation_Orel__comp(X30,X36,X1,X5,X27),c_Relation_Orel__comp(X19,X23,X1,X5,X27),tc_fun(tc_prod(X1,X27),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__mono_0) ).
fof(f602,axiom,
! [X2,X28,X1,X19,X9,X14,X5] :
( hAPP(X14,X9) = hAPP(X28,X9)
| ~ c_in(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1))
| c_Recdef_Ocut(X14,X19,X2,X1,X5) != c_Recdef_Ocut(X28,X19,X2,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_0) ).
fof(f450,axiom,
! [X3,X1,X4] :
( c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X4,X1)
| ~ c_lessequals(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool))
| ~ c_lessequals(X4,c_Transitive__Closure_Ortrancl(X3,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__subset_0) ).
fof(f314,axiom,
! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0
| c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = X0
| ~ c_lessequals(X0,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
fof(f563,axiom,
! [X1,X18,X19,X17] :
( ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(X18,c_Wellfounded_Oacc(X19,X1),X1)
| ~ c_in(c_Pair(X18,X17,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__downwards_0) ).
fof(f562,axiom,
! [X1,X18,X19,X17] :
( ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(X18,c_Wellfounded_Oacc(X19,X1),X1)
| ~ c_in(c_Pair(X18,X17,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__downwards__aux_0) ).
fof(f630,axiom,
! [X18,X1,X19,X17] :
( ~ c_in(X18,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__downward_0) ).
fof(f631,axiom,
! [X1,X19,X9,X17] :
( ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(X9,c_Wellfounded_Oacc(X19,X1),X1)
| ~ c_in(c_Pair(X9,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc_Ocases_0) ).
fof(f386,axiom,
! [X0,X1,X6,X15,X5,X24] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| c_lessequals(c_Product__Type_OSigma(X0,X6,X1,X5),c_Product__Type_OSigma(X15,X24,X1,X5),tc_fun(tc_prod(X1,X5),tc_bool))
| ~ c_lessequals(hAPP(X6,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X0,X6,X24,X1,X5)),hAPP(X24,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X0,X6,X24,X1,X5)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sigma__mono_1) ).
fof(f416,axiom,
! [X0,X1,X6,X15,X24,X5] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X0,X6,X24,X1,X5),X0,X1)
| c_lessequals(c_Product__Type_OSigma(X0,X6,X1,X5),c_Product__Type_OSigma(X15,X24,X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sigma__mono_0) ).
fof(f693,plain,
! [X2,X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463,f692,f464,f465,f255,f364,f316,f431,f436,f329,f636,f637,f340,f339,f253,f330,f533,f430,f156,f119,f645,f648,f647,f646,f223,f224,f137,f456,f455,f453,f454,f246,f245,f288,f414,f628,f629,f415,f424,f633,f632,f67,f69,f68,f114,f486,f540,f498,f484,f487,f554,f234,f55,f53,f56,f54,f437,f280,f279,f27,f30,f318,f136,f309,f268,f426,f200]) ).
fof(f200,axiom,
! [X2,X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
fof(f426,axiom,
! [X0,X1,X19,X35,X5,X30] :
( ~ c_lessequals(X35,X0,tc_fun(X1,tc_bool))
| ~ c_lessequals(X30,X19,tc_fun(tc_prod(X1,X5),tc_bool))
| c_lessequals(c_Relation_OImage(X30,X35,X1,X5),c_Relation_OImage(X19,X0,X1,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__mono_0) ).
fof(f268,axiom,
! [X0,X1,X6,X15,X24] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X24,tc_fun(X1,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X15,X24,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
fof(f309,axiom,
! [X0,X1,X6,X15,X24] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X24,tc_fun(X1,tc_bool))
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X15,X24,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
fof(f136,axiom,
! [X0,X1,X6,X15,X24] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(X24,X6,tc_fun(X1,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X15,X24,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
fof(f318,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X15,tc_fun(X1,tc_bool))
| c_HOL_Ominus__class_Ominus(X6,c_HOL_Ominus__class_Ominus(X15,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
fof(f30,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X15,tc_fun(X1,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
fof(f27,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X15,tc_fun(X1,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
fof(f279,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X15,X0,tc_fun(X1,tc_bool))
| ~ c_lessequals(X15,X6,tc_fun(X1,tc_bool))
| c_lessequals(X15,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
fof(f280,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X15,X0,tc_fun(X1,tc_bool))
| ~ c_lessequals(X15,X6,tc_fun(X1,tc_bool))
| c_lessequals(X15,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
fof(f437,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X15,tc_fun(X1,tc_bool))
| c_lessequals(X0,X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
fof(f54,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X0,X1)
| c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
fof(f56,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X0,X1)
| c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
fof(f53,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X0,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
fof(f55,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X0,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
fof(f234,axiom,
! [X0,X1,X6,X20] :
( c_in(X20,X6,X1)
| c_in(X20,X0,X1)
| ~ c_in(X20,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f554,axiom,
! [X1,X19,X7,X17] :
( hBOOL(hAPP(X7,X17))
| ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X7,X19,X1),c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__induct_0) ).
fof(f487,axiom,
! [X1,X19,X7,X17] :
( hBOOL(hAPP(X7,X17))
| ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X7,X19,X1),c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__induct__rule_0) ).
fof(f484,axiom,
! [X1,X19,X7,X17] :
( hBOOL(hAPP(X7,X17))
| ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| ~ hBOOL(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X7,X19,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__induct_2) ).
fof(f498,axiom,
! [X1,X19,X7,X17] :
( hBOOL(hAPP(X7,X17))
| ~ c_in(X17,c_Wellfounded_Oacc(X19,X1),X1)
| ~ hBOOL(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X7,X19,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__induct__rule_2) ).
fof(f540,axiom,
! [X2,X19,X7] :
( hBOOL(hAPP(X7,X2))
| ~ hBOOL(hAPP(X7,v_sko__Wellfounded__Xacc__Xinduct__1(X7,X19)))
| ~ c_in(X2,c_Wellfounded_Oacc(X19,t_a),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc_Oinduct_2) ).
fof(f486,axiom,
! [X2,X19,X7] :
( hBOOL(hAPP(X7,X2))
| ~ hBOOL(hAPP(X7,v_sko__Wellfounded__Xacc__Xinducts__1(X7,X19)))
| ~ c_in(X2,c_Wellfounded_Oacc(X19,t_a),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc_Oinducts_2) ).
fof(f114,axiom,
! [X2,X0,X1,X6] :
( hBOOL(hAPP(X6,X2))
| hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
fof(f68,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X0,X1)
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
fof(f69,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X0,X1)
| c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
fof(f67,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X0,X1)
| ~ c_lessequals(X0,c_Set_Oinsert(X2,X6,X1),tc_fun(X1,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
fof(f632,axiom,
! [X0,X1,X18,X19,X17,X5] :
( ~ c_in(X17,X0,X1)
| c_in(X18,c_Relation_OImage(X19,X0,X1,X5),X5)
| ~ c_in(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__ImageI_0) ).
fof(f633,axiom,
! [X2,X0,X18,X1,X19,X5] :
( ~ c_in(X2,X0,X5)
| c_in(X18,c_Relation_OImage(X19,X0,X5,X1),X1)
| ~ c_in(c_Pair(X2,X18,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__iff_2) ).
fof(f424,axiom,
! [X2,X0,X1,X6,X14,X5] :
( ~ c_in(X2,X0,X5)
| c_in(hAPP(X14,X2),X6,X1)
| ~ c_lessequals(c_Set_Oimage(X14,X0,X5,X1),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
fof(f415,axiom,
! [X2,X0,X1,X6,X15,X5] :
( ~ c_in(X2,X15,X1)
| c_lessequals(X0,X6,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1),c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1),tc_fun(tc_prod(X5,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__subset__cancel2_0) ).
fof(f629,axiom,
! [X0,X1,X18,X6,X17,X5] :
( ~ c_in(X17,X0,X1)
| ~ c_in(X18,hAPP(X6,X17),X5)
| c_in(c_Pair(X17,X18,X1,X5),c_Product__Type_OSigma(X0,X6,X1,X5),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaI_0) ).
fof(f628,axiom,
! [X0,X1,X18,X6,X17,X5] :
( ~ c_in(X17,X0,X1)
| ~ c_in(X18,hAPP(X6,X17),X5)
| c_in(c_Pair(X17,X18,X1,X5),c_Product__Type_OSigma(X0,X6,X1,X5),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__Sigma__iff_2) ).
fof(f414,axiom,
! [X2,X0,X1,X6,X15,X5] :
( ~ c_in(X2,X15,X1)
| ~ c_lessequals(X0,X6,tc_fun(X5,tc_bool))
| c_lessequals(c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1),c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1),tc_fun(tc_prod(X5,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__subset__cancel2_1) ).
fof(f288,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X6,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(c_Set_Oinsert(X2,X0,X1),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f245,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| c_in(X20,X6,X1)
| c_in(X20,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
fof(f246,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| c_in(X20,X6,X1)
| c_in(X20,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffI_0) ).
fof(f454,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X0,X1)
| c_in(X2,X6,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
fof(f453,axiom,
! [X39,X0,X1,X6] :
( ~ c_in(X39,X0,X1)
| c_in(X39,X6,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
fof(f455,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| c_in(X20,X6,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
fof(f456,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X0,X1)
| c_in(X2,X6,X1)
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
fof(f137,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X6,X1)
| ~ c_in(X2,X0,X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
fof(f224,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| ~ c_in(X20,X6,X1)
| c_in(X20,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntI_0) ).
fof(f223,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| ~ c_in(X20,X6,X1)
| c_in(X20,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
fof(f646,axiom,
! [X2,X0,X1,X19,X9] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| c_in(X9,X0,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__onD2_0) ).
fof(f647,axiom,
! [X2,X0,X1,X19,X9] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| c_in(X2,X0,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__onD1_0) ).
fof(f648,axiom,
! [X0,X1,X19,X17] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| ~ c_in(X17,X0,X1)
| c_in(c_Pair(X17,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__onD_0) ).
fof(f645,axiom,
! [X2,X0,X1,X19] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| ~ c_in(X2,X0,X1)
| c_in(c_Pair(X2,X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__def_1) ).
fof(f119,axiom,
! [X0,X1,X19,X6,X23] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| ~ c_Relation_Orefl__on(X6,X23,X1)
| c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__Un_0) ).
fof(f156,axiom,
! [X0,X1,X19,X6,X23] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| ~ c_Relation_Orefl__on(X6,X23,X1)
| c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__Int_0) ).
fof(f430,axiom,
! [X1,X19,X5,X23] :
( ~ c_Relation_Osingle__valued(X23,X1,X5)
| c_Relation_Osingle__valued(X19,X1,X5)
| ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X5),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__valued__subset_0) ).
fof(f533,axiom,
! [X1,X19,X27,X5,X23] :
( ~ c_Relation_Osingle__valued(X19,X1,X5)
| ~ c_Relation_Osingle__valued(X23,X5,X27)
| c_Relation_Osingle__valued(c_Relation_Orel__comp(X19,X23,X1,X5,X27),X1,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__valued__rel__comp_0) ).
fof(f330,axiom,
! [X2,X0,X1,X18,X19,X17] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(X2,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X19,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__nondisjoint_0) ).
fof(f253,axiom,
! [X0,X1,X18,X19,X17] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| c_lessequals(c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X19,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__subset_0) ).
fof(f339,axiom,
! [X0,X1,X18,X19,X17] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1) = c_Relation_OImage(X19,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq_0) ).
fof(f340,axiom,
! [X2,X0,X1,X19,X9] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1))
| c_Relation_OImage(X19,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1) = c_Relation_OImage(X19,c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_0) ).
fof(f637,axiom,
! [X2,X0,X1,X19,X9] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| c_in(X2,X0,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_1) ).
fof(f636,axiom,
! [X2,X0,X1,X19,X9] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| c_in(X9,X0,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_2) ).
fof(f329,axiom,
! [X0,X1,X19,X17] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| ~ c_in(X17,X0,X1)
| c_in(X17,c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__self_0) ).
fof(f436,axiom,
! [X2,X10,X1,X7] :
( ~ hBOOL(hAPP(X7,X2))
| hBOOL(hAPP(X10,X2))
| ~ c_lessequals(X7,X10,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
fof(f431,axiom,
! [X2,X10,X1,X7] :
( ~ hBOOL(hAPP(X7,X2))
| hBOOL(hAPP(X10,X2))
| ~ c_lessequals(X7,X10,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f316,axiom,
! [X2,X0,X1,X6] :
( ~ hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(X6,X2))
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1I_0) ).
fof(f364,axiom,
! [X18,X1,X19,X17] :
( X17 = X18
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X17,X18,X19,X1),X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtranclE_0) ).
fof(f255,axiom,
! [X18,X1,X19,X17] :
( X17 = X18
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X17,X18,X19,X1),X18,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtranclE_1) ).
fof(f465,axiom,
! [X3,X18,X1,X17] :
( X17 = X18
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtranclD_0) ).
fof(f464,axiom,
! [X2,X3,X1,X9] :
( X2 = X9
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_0) ).
fof(f692,plain,
! [X2,X3,X1,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230,f691,f201,f202,f551,f355,f499,f237,f49,f50,f236,f243,f242,f634,f643,f158,f159,f207,f199,f497,f22,f23,f153,f154,f72,f321,f42,f85,f87,f427,f428,f110,f460,f459,f261,f308,f80,f313,f161,f162,f135,f155,f71,f169,f170,f305,f306,f86,f109,f341,f545,f561,f410,f642,f381,f405,f575,f560,f572,f568,f528,f639,f638,f641,f640,f565,f389,f451,f448,f429,f390,f337,f338,f576,f336,f491,f573,f409,f63,f476,f342,f442,f204,f388,f579,f580,f593,f585,f586,f333,f369,f567,f343,f205,f417,f387,f587,f332,f208,f209,f326,f411,f654,f653,f469,f371,f421,f457,f413,f466,f467,f391,f210,f607,f606,f472,f473,f380,f379,f392,f452,f163,f164,f143,f26,f24,f152,f150,f301,f302,f173,f174,f25,f151,f172,f176,f175,f171,f299,f300,f303,f304,f307,f325,f406,f432,f138,f458,f206,f100,f608,f609,f435,f531,f543,f74,f196,f142,f5,f383,f597,f412,f690,f689,f260,f259,f258,f257,f334,f97,f233,f447,f446,f574,f626,f619,f362,f360,f463]) ).
fof(f463,axiom,
! [X2,X3,X1,X9] :
( X2 = X9
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_2) ).
fof(f360,axiom,
! [X31,X19,X32] :
( X31 = X32
| ~ c_in(c_Pair(X31,X32,t_a,t_a),c_Transitive__Closure_Ortrancl(X19,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X31,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X31,X32,X19),t_a,t_a),c_Transitive__Closure_Ortrancl(X19,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl_Ocases_0) ).
fof(f362,axiom,
! [X31,X19,X32] :
( X31 = X32
| ~ c_in(c_Pair(X31,X32,t_a,t_a),c_Transitive__Closure_Ortrancl(X19,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X31,X32,X19),X32,t_a,t_a),X19,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl_Ocases_1) ).
fof(f619,axiom,
! [X2,X49,X9,X16] :
( X9 = X16
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_2) ).
fof(f626,axiom,
! [X2,X49,X9,X16] :
( X2 = X16
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X49,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X16),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_2) ).
fof(f574,axiom,
! [X2,X3,X1,X9] :
( X2 = X9
| c_in(X2,c_Relation_ODomain(X3,X1,X1),X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_0) ).
fof(f446,axiom,
! [X0,X1,X6] :
( X0 = X6
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X0,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
fof(f447,axiom,
! [X0,X1,X6] :
( X0 = X6
| ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X6,X0,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
fof(f233,axiom,
! [X0,X18,X1,X17] :
( X17 = X18
| c_in(X17,X0,X1)
| ~ c_in(X17,c_Set_Oinsert(X18,X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
fof(f97,axiom,
! [X2,X0,X1,X9] :
( X2 = X9
| hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(c_Set_Oinsert(X9,X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f334,axiom,
! [X2,X0,X1,X6,X15,X5] :
( X0 = X6
| ~ c_in(X2,X15,X1)
| c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1) != c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X1,tc_bool),X5),X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__eq__cancel2_0) ).
fof(f257,axiom,
! [X29,X18,X1,X17,X20] :
( X17 = X20
| X17 = X29
| c_Set_Oinsert(X17,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) != c_Set_Oinsert(X20,c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
fof(f258,axiom,
! [X29,X18,X1,X17,X20] :
( X17 = X20
| X18 = X20
| c_Set_Oinsert(X17,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) != c_Set_Oinsert(X20,c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
fof(f259,axiom,
! [X29,X18,X1,X17,X20] :
( X18 = X29
| X17 = X29
| c_Set_Oinsert(X17,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) != c_Set_Oinsert(X20,c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
fof(f260,axiom,
! [X29,X18,X1,X17,X20] :
( X18 = X29
| X18 = X20
| c_Set_Oinsert(X17,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) != c_Set_Oinsert(X20,c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
fof(f689,plain,
! [X2,X49,X9] :
( X2 = X9
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,axiom,
! [X2,X49,X9] :
( X2 = X9
| X2 = X9
| c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_4) ).
fof(f690,plain,
! [X2,X11,X49] :
( X2 = X11
| c_in(c_Pair(X11,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(duplicate_literal_removal,[],[f625]) ).
fof(f625,axiom,
! [X2,X11,X49] :
( X2 = X11
| X2 = X11
| c_in(c_Pair(X11,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
fof(f412,axiom,
! [X2,X1,X19,X9] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__insert_2) ).
fof(f597,axiom,
! [X2,X1,X19,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| ~ c_in(c_Pair(X17,X2,X1,X1),X19,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__asym_0) ).
fof(f383,axiom,
! [X3,X0,X1] :
( ~ c_Wellfounded_Owf(X3,X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0
| ~ c_lessequals(X0,c_Relation_OImage(X3,X0,X1,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfE__pf_0) ).
fof(f5,axiom,
! [X3,X1,X8,X7] :
( ~ c_Wellfounded_Owf(X3,X1)
| hBOOL(hAPP(X7,X8))
| ~ hBOOL(hAPP(X7,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X7,X3,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tfl__wf__induct_1) ).
fof(f142,axiom,
! [X1,X19,X7,X25] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X25))
| ~ hBOOL(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X7,X19,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__def_1) ).
fof(f196,axiom,
! [X1,X19,X7,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X17))
| ~ hBOOL(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X7,X19,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__induct__rule_1) ).
fof(f74,axiom,
! [X1,X19,X7,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| hBOOL(hAPP(X7,X17))
| ~ hBOOL(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X7,X19,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__induct_1) ).
fof(f543,axiom,
! [X2,X3,X10,X1] :
( ~ c_Wellfounded_Owf(X3,X1)
| ~ c_in(X2,X10,X1)
| c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X10,X3,X1),X10,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfE__min_0) ).
fof(f531,axiom,
! [X10,X11,X1,X19] :
( ~ c_Wellfounded_Owf(X19,X1)
| ~ c_in(X11,X10,X1)
| c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X10,X19,X1),X10,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__eq__minimal_0) ).
fof(f435,axiom,
! [X1,X19,X34] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(X34,X1)
| ~ c_lessequals(X34,X19,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__subset_0) ).
fof(f609,axiom,
! [X1,X18,X19,X17] :
( ~ c_Relation_Osym(X19,X1)
| ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(X18,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symD_0) ).
fof(f608,axiom,
! [X2,X1,X19,X9] :
( ~ c_Relation_Osym(X19,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__def_0) ).
fof(f100,axiom,
! [X1,X19,X23] :
( ~ c_Relation_Osym(X19,X1)
| ~ c_Relation_Osym(X23,X1)
| c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Un_0) ).
fof(f206,axiom,
! [X1,X19,X23] :
( ~ c_Relation_Osym(X19,X1)
| ~ c_Relation_Osym(X23,X1)
| c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Int_0) ).
fof(f458,axiom,
! [X1,X19] :
( ~ c_Relation_Otrans(X19,X1)
| ~ c_Relation_Osym(X19,X1)
| c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(X19,X1,X1),X19,X1,X1,X1),X19,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__trans__comp__subset_0) ).
fof(f138,axiom,
! [X1,X19,X23] :
( ~ c_Relation_Otrans(X19,X1)
| ~ c_Relation_Otrans(X23,X1)
| c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Int_0) ).
fof(f432,axiom,
! [X1,X19,X23] :
( ~ c_Relation_Oantisym(X23,X1)
| c_Relation_Oantisym(X19,X1)
| ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__subset_0) ).
fof(f406,axiom,
! [X1,X19] :
( ~ c_Relation_Oantisym(X19,X1)
| ~ c_Relation_Otrans(X19,X1)
| c_Relation_Otrans(c_HOL_Ominus__class_Ominus(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__diff__Id_0) ).
fof(f325,axiom,
! [X2,X1,X19,X9] :
( ~ c_Wellfounded_Oacyclic(X19,X1)
| c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__insert_2) ).
fof(f307,axiom,
! [X1,X19,X23] :
( ~ c_Wellfounded_Oacyclic(X23,X1)
| c_Wellfounded_Oacyclic(X19,X1)
| ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__subset_0) ).
fof(f304,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X17,X2,X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X18,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
fof(f303,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X18,X2,X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X18,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
fof(f300,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X16,X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X16,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
fof(f299,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X9,X16,X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X16,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
fof(f171,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X17,X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X17,X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_0) ).
fof(f175,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X9,X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).
fof(f176,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X16,X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
fof(f172,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X18,X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X17,X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_1) ).
fof(f151,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X9,X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) != X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
fof(f25,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X9,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
fof(f174,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X18,X2,X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X17,X18,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI2_0) ).
fof(f173,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X17,X2,X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X17,X18,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI1_0) ).
fof(f302,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X17,X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X17,X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
fof(f301,axiom,
! [X2,X1,X18,X17] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X18,X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X17,X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
fof(f150,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X9,X2,X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
fof(f152,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X9,X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
fof(f24,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X9,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
fof(f26,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X9,X2,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
fof(f143,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oboolean__algebra(X1)
| X2 = X9
| c_HOL_Ouminus__class_Ouminus(X9,X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
fof(f164,axiom,
! [X0,X1,X6] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = X6
| c_Orderings_Obot__class_Obot(X1) != c_Lattices_Oupper__semilattice__class_Osup(X0,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
fof(f163,axiom,
! [X0,X1,X6] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = X0
| c_Orderings_Obot__class_Obot(X1) != c_Lattices_Oupper__semilattice__class_Osup(X0,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
fof(f452,axiom,
! [X2,X28,X1,X14,X5] :
( ~ class_HOL_Oord(X5)
| ~ c_lessequals(X14,X28,tc_fun(X1,X5))
| c_lessequals(hAPP(X14,X2),hAPP(X28,X2),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
fof(f392,axiom,
! [X0,X1,X19] :
( ~ c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Otrancl(X19,X1),c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__subset__Sigma_0) ).
fof(f379,axiom,
! [X1,X19,X27,X17,X5,X23,X20] :
( ~ c_in(c_Pair(X17,X20,X1,X5),c_Relation_Orel__comp(X19,X23,X1,X27,X5),tc_prod(X1,X5))
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X17,X20,X19,X23,X1,X5,X27),X20,X27,X5),X23,tc_prod(X27,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__compEpair_1) ).
fof(f380,axiom,
! [X1,X19,X27,X17,X5,X23,X20] :
( ~ c_in(c_Pair(X17,X20,X1,X5),c_Relation_Orel__comp(X19,X23,X1,X27,X5),tc_prod(X1,X5))
| c_in(c_Pair(X17,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X17,X20,X19,X23,X1,X5,X27),X1,X27),X19,tc_prod(X1,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__compEpair_0) ).
fof(f473,axiom,
! [X2,X1,X19,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X19,X1),X1,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X19,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__converseI_0) ).
fof(f472,axiom,
! [X2,X1,X19,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X19,X1,X1),X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X19,X1),X1,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__converseD_0) ).
fof(f606,axiom,
! [X2,X1,X19,X9,X14,X5] :
( ~ c_in(c_Pair(hAPP(X14,X2),hAPP(X14,X9),X5,X5),X19,tc_prod(X5,X5))
| c_in(c_Pair(X2,X9,X1,X1),c_Relation_Oinv__image(X19,X14,X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__inv__image_1) ).
fof(f607,axiom,
! [X2,X1,X19,X9,X14,X5] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Relation_Oinv__image(X19,X14,X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(hAPP(X14,X2),hAPP(X14,X9),X5,X5),X19,tc_prod(X5,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__inv__image_0) ).
fof(f210,axiom,
! [X2,X28,X1,X19,X14,X5] :
( c_Recdef_Ocut(X14,X19,X2,X1,X5) = c_Recdef_Ocut(X28,X19,X2,X1,X5)
| hAPP(X14,c_List_Osko__Recdef__Xcuts__eq__1__1(X14,X28,X19,X2,X1,X5)) != hAPP(X28,c_List_Osko__Recdef__Xcuts__eq__1__1(X14,X28,X19,X2,X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_2) ).
fof(f391,axiom,
! [X2,X28,X1,X19,X14,X5] :
( c_Recdef_Ocut(X14,X19,X2,X1,X5) = c_Recdef_Ocut(X28,X19,X2,X1,X5)
| c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X14,X28,X19,X2,X1,X5),X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_1) ).
fof(f467,axiom,
! [X2,X1,X19,X9] :
( c_in(c_Pair(X9,X2,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X19,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__converseD_0) ).
fof(f466,axiom,
! [X2,X1,X19,X9] :
( ~ c_in(c_Pair(X9,X2,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X19,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__converseI_0) ).
fof(f413,axiom,
! [X2,X3,X1,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X3,X2,X9,X1),X9,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclD_1) ).
fof(f457,axiom,
! [X2,X3,X1,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X3,X2,X9,X1),X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclD2_0) ).
fof(f421,axiom,
! [X2,X3,X1,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X3,X2,X9,X1),X9,X1,X1),X3,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclD2_1) ).
fof(f371,axiom,
! [X2,X3,X1,X9] :
( ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Otrancl(X3,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X3,X2,X9,X1),X1,X1),X3,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclD_0) ).
fof(f469,axiom,
! [X18,X1,X19,X17] :
( ~ c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1))
| c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_0) ).
fof(f653,axiom,
! [X52] :
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_0) ).
fof(f654,axiom,
! [X52] :
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),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____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_1) ).
fof(f411,axiom,
! [X2,X1,X19,X9] :
( ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__insert_1) ).
fof(f326,axiom,
! [X2,X1,X19,X9] :
( ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__insert_1) ).
fof(f209,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).
fof(f208,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
fof(f332,axiom,
! [X18,X1,X19,X17,X5] :
( c_in(c_Pair(X17,X18,X5,X1),X19,tc_prod(X5,X1))
| ~ c_in(X18,c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__singleton__iff_0) ).
fof(f587,axiom,
! [X18,X1,X19,X17,X5] :
( c_in(c_Pair(X18,X17,X5,X1),X19,tc_prod(X5,X1))
| ~ c_in(c_Pair(X17,X18,X1,X5),c_Relation_Oconverse(X19,X5,X1),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseD_0) ).
fof(f387,axiom,
! [X0,X1,X19,X6,X5] :
( c_lessequals(c_Relation_OImage(X19,X0,X5,X1),X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(X19,X5,X1),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),X1,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__subset__eq_1) ).
fof(f417,axiom,
! [X0,X1,X19,X6,X15,X5] :
( c_lessequals(c_Relation_OImage(X19,X15,X1,X5),X6,tc_fun(X5,tc_bool))
| ~ c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X6,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__subset_0) ).
fof(f205,axiom,
! [X0,X1,X6] :
( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_0) ).
fof(f343,axiom,
! [X3,X1,X4] :
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X3,X1,X1,X1),c_Relation_Orel__comp(X4,X3,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__merge_1) ).
fof(f567,axiom,
! [X0,X18,X1,X14,X27,X17,X5] :
( ~ c_in(c_Pair(X17,X18,X1,X5),X0,tc_prod(X1,X5))
| c_in(hAPP(hAPP(X14,X17),X18),c_Set_Oimage(c_split(X14,X1,X5,X27),X0,tc_prod(X1,X5),X27),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pair__imageI_0) ).
fof(f369,axiom,
! [X2,X1,X19] :
( ~ c_in(c_Pair(X2,X2,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X19,X1),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X19,X1),X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__trancl__rD_0) ).
fof(f333,axiom,
! [X18,X1,X19,X17,X5] :
( ~ c_in(c_Pair(X17,X18,X5,X1),X19,tc_prod(X5,X1))
| c_in(X18,c_Relation_OImage(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__singleton__iff_1) ).
fof(f586,axiom,
! [X18,X1,X19,X17,X5] :
( ~ c_in(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5))
| c_in(c_Pair(X18,X17,X5,X1),c_Relation_Oconverse(X19,X1,X5),tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseI_0) ).
fof(f585,axiom,
! [X18,X1,X19,X17,X5] :
( ~ c_in(c_Pair(X18,X17,X5,X1),X19,tc_prod(X5,X1))
| c_in(c_Pair(X17,X18,X1,X5),c_Relation_Oconverse(X19,X5,X1),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__iff_1) ).
fof(f593,axiom,
! [X18,X1,X19,X17] :
( ~ c_in(c_Pair(X17,X18,X1,X1),X19,tc_prod(X1,X1))
| c_in(c_Pair(X17,X18,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_0) ).
fof(f580,axiom,
! [X2,X1,X19,X14,X17,X5] :
( ~ c_in(c_Pair(X2,X17,X1,X1),X19,tc_prod(X1,X1))
| hAPP(X14,X2) = hAPP(c_Recdef_Ocut(X14,X19,X17,X1,X5),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut__apply_0) ).
fof(f579,axiom,
! [X2,X3,X1,X14,X17,X5] :
( ~ c_in(c_Pair(X2,X17,X1,X1),X3,tc_prod(X1,X1))
| hAPP(X14,X2) = hAPP(c_Recdef_Ocut(X14,X3,X17,X1,X5),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tfl__cut__apply_0) ).
fof(f388,axiom,
! [X0,X1,X19,X6,X5] :
( ~ c_lessequals(c_Relation_OImage(X19,X0,X5,X1),X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(X19,X5,X1),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),X1,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__subset__eq_0) ).
fof(f204,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_1) ).
fof(f442,axiom,
! [X1,X19,X23] :
( ~ c_lessequals(X19,c_Transitive__Closure_Ortrancl(X23,X1),tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Ortrancl(X19,X1),c_Transitive__Closure_Ortrancl(X23,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__subset__rtrancl_0) ).
fof(f342,axiom,
! [X3,X1,X4] :
( ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X3,X1,X1,X1),c_Relation_Orel__comp(X4,X3,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__merge_0) ).
fof(f476,axiom,
! [X3,X18,X1,X27,X17,X5,X20] :
( hBOOL(hAPP(hAPP(hAPP(X3,X17),X18),X20))
| ~ hBOOL(hAPP(hAPP(c_split(X3,X1,X5,tc_fun(X27,tc_bool)),c_Pair(X17,X18,X1,X5)),X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_splitD_H_0) ).
fof(f63,axiom,
! [X0,X1,X6] :
( c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)) = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
fof(f409,axiom,
! [X0,X18,X1,X19,X5] :
( ~ c_in(X18,c_Relation_OImage(X19,X0,X5,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X0,X18,X19,X5,X1),X18,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ImageE_0) ).
fof(f573,axiom,
! [X0,X18,X1,X19,X5] :
( ~ c_in(X18,c_Relation_OImage(X19,X0,X5,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X0,X18,X19,X5,X1),X18,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__iff_1) ).
fof(f491,axiom,
! [X0,X18,X1,X19,X5] :
( ~ c_in(X18,c_Relation_OImage(X19,X0,X5,X1),X1)
| c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X0,X18,X19,X5,X1),X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__iff_0) ).
fof(f336,axiom,
! [X0,X18,X1,X19,X5] :
( ~ c_in(X18,c_Relation_OImage(X19,X0,X5,X1),X1)
| c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X0,X18,X19,X5,X1),X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ImageE_1) ).
fof(f576,axiom,
! [X18,X1,X16,X27,X17,X5,X20] :
( ~ c_in(X16,hAPP(hAPP(X20,X17),X18),X1)
| c_in(X16,hAPP(c_split(X20,X5,X27,tc_fun(X1,tc_bool)),c_Pair(X17,X18,X5,X27)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__splitI_0) ).
fof(f338,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X2,c_Transitive__Closure_Ortrancl(X4,X1),tc_prod(X1,X1))
| c_in(X2,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_1) ).
fof(f337,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X2,c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1))
| c_in(X2,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_0) ).
fof(f390,axiom,
! [X0,X1,X20] :
( ~ c_in(X20,c_Relation_OId__on(X0,X1),tc_prod(X1,X1))
| c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X0,X20,X1),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X0,X20,X1),X1,X1) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__onE_1) ).
fof(f429,axiom,
! [X1,X19,X5,X23] :
( ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X5),tc_bool))
| c_lessequals(c_Relation_ODomain(X19,X1,X5),c_Relation_ODomain(X23,X1,X5),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__mono_0) ).
fof(f448,axiom,
! [X1,X19,X23] :
( ~ c_lessequals(X19,X23,tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Ortrancl(X19,X1),c_Transitive__Closure_Ortrancl(X23,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__mono_0) ).
fof(f451,axiom,
! [X38,X1,X37] :
( ~ c_lessequals(X38,X37,tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Wellfounded_Oacc(X37,X1),c_Wellfounded_Oacc(X38,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__subset_0) ).
fof(f389,axiom,
! [X0,X1,X20] :
( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X0,X20,X1),X0,X1)
| ~ c_in(X20,c_Relation_OId__on(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__onE_0) ).
fof(f565,axiom,
! [X2,X3,X1] :
( c_in(X2,c_Relation_ODomain(X3,X1,X1),X1)
| c_in(c_Pair(X2,X2,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_1) ).
fof(f640,axiom,
! [X2,X1,X19,X17,X5] :
( c_in(X17,c_Relation_ODomain(X19,X1,X5),X1)
| ~ c_in(c_Pair(X17,X2,X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__iff_1) ).
fof(f641,axiom,
! [X1,X18,X19,X17,X5] :
( c_in(X17,c_Relation_ODomain(X19,X1,X5),X1)
| ~ c_in(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DomainI_0) ).
fof(f638,axiom,
! [X2,X1,X19,X17,X5] :
( c_in(X17,c_Relation_ORange(X19,X5,X1),X1)
| ~ c_in(c_Pair(X2,X17,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__iff_1) ).
fof(f639,axiom,
! [X18,X1,X19,X17,X5] :
( c_in(X18,c_Relation_ORange(X19,X1,X5),X5)
| ~ c_in(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RangeI_0) ).
fof(f528,axiom,
! [X1,X19] :
( c_Equiv__Relations_Oequiv(c_Relation_ODomain(X19,X1,X1),X19,X1)
| c_Relation_Orel__comp(c_Relation_Oconverse(X19,X1,X1),X19,X1,X1,X1) != X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comp__equivI_0) ).
fof(f568,axiom,
! [X1,X19,X17,X5] :
( ~ c_in(X17,c_Relation_ODomain(X19,X1,X5),X1)
| c_in(c_Pair(X17,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X17,X19,X1,X5),X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DomainE_0) ).
fof(f572,axiom,
! [X1,X19,X17,X5] :
( ~ c_in(X17,c_Relation_ODomain(X19,X1,X5),X1)
| c_in(c_Pair(X17,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X17,X19,X1,X5),X1,X5),X19,tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__iff_0) ).
fof(f560,axiom,
! [X18,X1,X19,X5] :
( ~ c_in(X18,c_Relation_ORange(X19,X5,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X18,X19,X1,X5),X18,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RangeE_0) ).
fof(f575,axiom,
! [X1,X19,X17,X5] :
( ~ c_in(X17,c_Relation_ORange(X19,X5,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X17,X19,X1,X5),X17,X5,X1),X19,tc_prod(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__iff_0) ).
fof(f405,axiom,
! [X3,X0,X1,X6,X5] :
( ~ c_Relation_Osingle__valued(c_Relation_Oconverse(X3,X5,X1),X1,X5)
| c_Relation_OImage(X3,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X5,tc_bool)),X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X3,X0,X5,X1),c_Relation_OImage(X3,X6,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Int__eq_0) ).
fof(f381,axiom,
! [X1,X34] :
( ~ c_in(X34,c_Relation_OId(X1),tc_prod(X1,X1))
| c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X34,X1),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X34,X1),X1,X1) = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IdE_0) ).
fof(f642,axiom,
! [X0,X18,X1,X6,X17,X5] :
( c_in(X18,hAPP(X6,X17),X5)
| ~ c_in(c_Pair(X17,X18,X1,X5),c_Product__Type_OSigma(X0,X6,X1,X5),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaD2_0) ).
fof(f410,axiom,
! [X2,X3,X1] :
( c_in(X2,c_Wellfounded_Oacc(X3,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X3,X2,X1),X2,X1,X1),X3,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__acc__down_0) ).
fof(f561,axiom,
! [X2,X1,X19] :
( c_in(X2,c_Wellfounded_Oacc(X19,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X19,X2,X1),X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc_OaccI_0) ).
fof(f545,axiom,
! [X2,X1,X19] :
( c_in(X2,c_Wellfounded_Oacc(X19,X1),X1)
| ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X19,X2,X1),c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc_OaccI_1) ).
fof(f341,axiom,
! [X2,X3,X1] :
( c_in(X2,c_Wellfounded_Oacc(X3,X1),X1)
| ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X3,X2,X1),c_Wellfounded_Oacc(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__acc__down_1) ).
fof(f109,axiom,
! [X0,X1,X6,X15] :
( c_lessequals(X15,X0,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
fof(f86,axiom,
! [X0,X1,X6] :
( c_lessequals(X6,X0,tc_fun(X1,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
fof(f306,axiom,
! [X0,X1,X6,X15] :
( c_lessequals(X6,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
fof(f305,axiom,
! [X0,X1,X6,X15] :
( c_lessequals(X0,X15,tc_fun(X1,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
fof(f170,axiom,
! [X0,X1,X6,X15] :
( c_lessequals(X15,X0,tc_fun(X1,tc_bool))
| ~ c_lessequals(X15,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
fof(f169,axiom,
! [X0,X1,X6,X15] :
( c_lessequals(X15,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(X15,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
fof(f71,axiom,
! [X2,X0,X1,X6] :
( c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X2,X0,X1),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
fof(f155,axiom,
! [X0,X1,X6] :
( c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
fof(f135,axiom,
! [X0,X1,X5,X20] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X0
| c_Set_Oimage(c_COMBK(X20,X1,X5),X0,X5,X1) = c_Set_Oinsert(X20,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
fof(f162,axiom,
! [X0,X1,X6] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
fof(f161,axiom,
! [X0,X1,X6] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X6
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
fof(f313,axiom,
! [X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0
| ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
fof(f80,axiom,
! [X0,X1,X14,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X14,X0,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
fof(f308,axiom,
! [X0,X1,X14,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X14,X0,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
fof(f261,axiom,
! [X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X0
| ~ c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
fof(f459,axiom,
! [X1,X19,X34] :
( ~ c_in(X34,X19,tc_prod(X1,X1))
| c_in(X34,c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).
fof(f460,axiom,
! [X1,X19,X34] :
( ~ c_in(X34,X19,tc_prod(X1,X1))
| c_in(X34,c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).
fof(f110,axiom,
! [X0,X1,X6,X15] :
( ~ c_lessequals(X15,X0,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
fof(f428,axiom,
! [X0,X1,X6,X14,X5] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(c_Set_Oimage(X14,X0,X1,X5),c_Set_Oimage(X14,X6,X1,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
fof(f427,axiom,
! [X2,X0,X1,X14,X5] :
( ~ c_lessequals(X2,X0,tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Oimage(X14,X2,X5,X1),c_Set_Oimage(X14,X0,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
fof(f87,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X6,X0,tc_fun(X1,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
fof(f85,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).
fof(f42,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(X6,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).
fof(f321,axiom,
! [X1,X17,X15,X24] :
( ~ c_lessequals(X15,X24,tc_fun(X1,tc_bool))
| c_lessequals(c_Set_Oinsert(X17,X15,X1),c_Set_Oinsert(X17,X24,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f72,axiom,
! [X0,X1,X18,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_lessequals(X0,c_Set_Oinsert(X18,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f154,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X6,X0,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f153,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
fof(f23,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X6,X0,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
fof(f22,axiom,
! [X0,X1,X6] :
( ~ c_lessequals(X0,X6,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
fof(f497,axiom,
! [X1,X19] :
( ~ c_Wellfounded_Owf(c_Relation_Oconverse(X19,X1,X1),X1)
| c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X19,X1),X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__converse__trancl_0) ).
fof(f199,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X6,X1)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X0,X1),X6,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
fof(f207,axiom,
! [X2,X0,X1] :
( c_in(X2,X0,X1)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X0,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
fof(f159,axiom,
! [X1,X6,X17,X15] :
( c_in(X17,X15,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X17,X6,X1),X15,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
fof(f158,axiom,
! [X0,X1,X6,X17] :
( c_in(X17,X0,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
fof(f643,axiom,
! [X0,X1,X18,X6,X17,X5] :
( c_in(X17,X0,X1)
| ~ c_in(c_Pair(X17,X18,X1,X5),c_Product__Type_OSigma(X0,X6,X1,X5),tc_prod(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaD1_0) ).
fof(f634,axiom,
! [X2,X0,X1,X9] :
( c_in(X2,X0,X1)
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Relation_OId__on(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__on__iff_1) ).
fof(f242,axiom,
! [X0,X1,X6,X20] :
( c_in(X20,X6,X1)
| ~ c_in(X20,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_1) ).
fof(f243,axiom,
! [X0,X1,X6,X20] :
( c_in(X20,X0,X1)
| ~ c_in(X20,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_0) ).
fof(f236,axiom,
! [X0,X1,X6,X20] :
( c_in(X20,X0,X1)
| ~ c_in(X20,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
fof(f50,axiom,
! [X2,X0,X1,X6] :
( c_in(X2,X6,X1)
| ~ c_lessequals(c_Set_Oinsert(X2,X0,X1),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f49,axiom,
! [X2,X11,X1] :
( c_in(X2,X11,X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X11,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
fof(f237,axiom,
! [X0,X1,X20] :
( c_in(X20,X0,X1)
| c_in(X20,c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
fof(f499,axiom,
! [X0,X1,X19] :
( c_Relation_Orefl__on(X0,X19,X1)
| ~ c_Relation_Orefl__on(X0,c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__converse_0) ).
fof(f355,axiom,
! [X0,X1,X19] :
( c_Relation_Ototal__on(X0,X19,X1)
| ~ c_Relation_Ototal__on(X0,c_HOL_Ominus__class_Ominus(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__diff__Id_0) ).
fof(f551,axiom,
! [X0,X1,X19] :
( c_Relation_Ototal__on(X0,X19,X1)
| ~ c_Relation_Ototal__on(X0,c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__converse_0) ).
fof(f202,axiom,
! [X2,X0,X1,X6] :
( hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_0) ).
fof(f201,axiom,
! [X2,X0,X1,X6] :
( hBOOL(hAPP(X6,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
fof(f691,plain,
! [X2,X1] : ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(global_subsumption,[],[f665,f666,f686,f685,f682,f679,f684,f680,f681,f678,f683,f677,f649,f650,f529,f535,f492,f496,f493,f510,f518,f512,f505,f439,f438,f482,f513,f132,f232,f229,f231,f287,f267,f239,f240,f241,f521,f298,f1,f7,f532,f506,f504,f263,f93,f517,f555,f556,f534,f495,f494,f106,f88,f527,f312,f113,f490,f509,f211,f112,f129,f128,f254,f29,f28,f44,f277,f278,f613,f614,f622,f621,f617,f618,f549,f548,f402,f547,f550,f530,f96,f262,f595,f596,f12,f190,f95,f38,f179,f542,f525,f350,f349,f537,f130,f105,f104,f352,f398,f347,f346,f397,f399,f345,f77,f78,f6,f194,f48,f98,f322,f186,f475,f13,f198,f524,f515,f474,f8,f292,f166,f187,f165,f149,f344,f266,f82,f81,f404,f401,f45,f90,f9,f203,f99,f511,f94,f311,f125,f124,f16,f17,f523,f293,f185,f182,f191,f197,f323,f4,f157,f269,f91,f92,f111,f65,f51,f3,f195,f101,f73,f62,f315,f310,f177,f133,f60,f134,f61,f284,f285,f140,f107,f108,f79,f15,f168,f167,f289,f118,f281,f47,f131,f675,f676,f89,f672,f433,f669,f58,f283,f282,f59,f674,f434,f670,f126,f127,f102,f103,f671,f213,f76,f75,f14,f183,f192,f673,f668,f667,f297,f2,f32,f33,f36,f37,f270,f275,f276,f271,f39,f40,f180,f181,f148,f141,f290,f291,f188,f189,f121,f122,f120,f123,f19,f20,f21,f18,f139,f43,f604,f588,f348,f147,f373,f539,f354,f485,f520,f526,f351,f422,f483,f501,f507,f489,f516,f41,f522,f481,f514,f502,f605,f294,f295,f64,f145,f652,f651,f603,f601,f627,f46,f407,f403,f146,f217,f538,f353,f553,f519,f544,f508,f488,f57,f503,f384,f385,f335,f382,f655,f244,f52,f116,f115,f541,f395,f552,f356,f500,f420,f400,f656,f248,f226,f225,f238,f235,f227,f228,f477,f478,f479,f480,f635,f331,f70,f66,f296,f265,f264,f230]) ).
fof(f230,axiom,
! [X2,X1,X7] :
( hBOOL(hAPP(X7,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
fof(f264,axiom,
! [X1,X6,X17,X15] :
( ~ c_in(X17,X15,X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X17,X6,X1),X15,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X17,c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
fof(f265,axiom,
! [X0,X1,X6,X17] :
( ~ c_in(X17,X0,X1)
| c_Set_Oinsert(X17,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
fof(f296,axiom,
! [X0,X1,X17] :
( ~ c_in(X17,X0,X1)
| c_Set_Oinsert(X17,c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
fof(f66,axiom,
! [X2,X0,X1,X5,X20] :
( ~ c_in(X2,X0,X1)
| c_Set_Oimage(c_COMBK(X20,X5,X1),X0,X1,X5) = c_Set_Oinsert(X20,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
fof(f70,axiom,
! [X2,X0,X1,X6] :
( ~ c_in(X2,X6,X1)
| c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X0,X1),X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).
fof(f331,axiom,
! [X2,X0,X1,X14,X5] :
( ~ c_in(X2,X0,X1)
| c_Set_Oimage(X14,X0,X1,X5) = c_Set_Oinsert(hAPP(X14,X2),c_Set_Oimage(X14,X0,X1,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
fof(f635,axiom,
! [X2,X0,X1] :
( ~ c_in(X2,X0,X1)
| c_in(c_Pair(X2,X2,X1,X1),c_Relation_OId__on(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__on__eqI_0) ).
fof(f480,axiom,
! [X2,X40,X0,X1,X14] :
( ~ c_in(X2,X0,X40)
| c_in(hAPP(X14,X2),c_Set_Oimage(X14,X0,X40,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f479,axiom,
! [X2,X0,X1,X14,X5] :
( ~ c_in(X2,X0,X5)
| c_in(hAPP(X14,X2),c_Set_Oimage(X14,X0,X5,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
fof(f478,axiom,
! [X2,X0,X1,X14,X5] :
( ~ c_in(X2,X0,X5)
| c_in(hAPP(X14,X2),c_Set_Oimage(X14,X0,X5,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
fof(f477,axiom,
! [X2,X0,X1,X14,X5] :
( ~ c_in(X2,X0,X1)
| c_in(hAPP(X14,X2),c_Set_Oimage(X14,X0,X1,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f228,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X6,X1)
| c_in(X20,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
fof(f227,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X0,X1)
| c_in(X20,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
fof(f235,axiom,
! [X0,X1,X6,X20] :
( ~ c_in(X20,X6,X1)
| ~ c_in(X20,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
fof(f238,axiom,
! [X0,X1,X20] :
( ~ c_in(X20,X0,X1)
| ~ c_in(X20,c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
fof(f225,axiom,
! [X0,X1,X18,X17] :
( ~ c_in(X17,X0,X1)
| c_in(X17,c_Set_Oinsert(X18,X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
fof(f226,axiom,
! [X1,X18,X6,X17] :
( ~ c_in(X17,X6,X1)
| c_in(X17,c_Set_Oinsert(X18,X6,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f248,axiom,
! [X0,X1,X17] :
( ~ c_in(X17,X0,X1)
| c_Set_Oinsert(X17,X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f656,axiom,
! [X2,X1,X4] :
( ~ c_in(X2,X4,X1)
| hBOOL(hAPP(X4,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f400,axiom,
! [X0,X1,X19] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__def_0) ).
fof(f420,axiom,
! [X0,X1,X19] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| c_lessequals(X19,c_Relation_Orel__comp(c_Relation_Oconverse(X19,X1,X1),X19,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__comp__subset_0) ).
fof(f500,axiom,
! [X0,X1,X19] :
( ~ c_Relation_Orefl__on(X0,X19,X1)
| c_Relation_Orefl__on(X0,c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__converse_1) ).
fof(f356,axiom,
! [X0,X1,X19] :
( ~ c_Relation_Ototal__on(X0,X19,X1)
| c_Relation_Ototal__on(X0,c_HOL_Ominus__class_Ominus(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__diff__Id_1) ).
fof(f552,axiom,
! [X0,X1,X19] :
( ~ c_Relation_Ototal__on(X0,X19,X1)
| c_Relation_Ototal__on(X0,c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__converse_1) ).
fof(f395,axiom,
! [X0,X1,X19] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| c_lessequals(X19,c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__type_0) ).
fof(f541,axiom,
! [X0,X1,X19] :
( ~ c_Equiv__Relations_Oequiv(X0,X19,X1)
| c_Relation_Orefl__on(X0,X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv_Orefl__on_0) ).
fof(f115,axiom,
! [X2,X0,X1,X6] :
( ~ hBOOL(hAPP(X6,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
fof(f116,axiom,
! [X2,X0,X1,X6] :
( ~ hBOOL(hAPP(X0,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f52,axiom,
! [X2,X0,X1,X9] :
( ~ hBOOL(hAPP(X0,X2))
| hBOOL(hAPP(c_Set_Oinsert(X9,X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f244,axiom,
! [X2,X1,X7] :
( ~ hBOOL(hAPP(X7,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
fof(f655,axiom,
! [X2,X1,X4] :
( ~ hBOOL(hAPP(X4,X2))
| c_in(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f382,axiom,
! [X3,X1] :
( c_Wellfounded_Owf(X3,X1)
| c_lessequals(c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1(X3,X1),c_Relation_OImage(X3,c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1(X3,X1),X1,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfI__pf_0) ).
fof(f335,axiom,
! [X2,X1,X19,X9] :
( c_Wellfounded_Owf(X19,X1)
| ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__insert_0) ).
fof(f385,axiom,
! [X1,X19] :
( c_Wellfounded_Owf(X19,X1)
| ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X19,X1),c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__wfI_0) ).
fof(f384,axiom,
! [X1,X19] :
( c_Wellfounded_Owf(X19,X1)
| ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X19,X1),c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__acc__iff_1) ).
fof(f503,axiom,
! [X3,X1] :
( c_Wellfounded_Owf(X3,X1)
| ~ c_Wellfounded_Owf(c_Relation_Orel__comp(X3,X3,X1,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__comp__self_1) ).
fof(f57,axiom,
! [X3,X1] :
( c_Wellfounded_Owf(X3,X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfI__pf_1) ).
fof(f488,axiom,
! [X1,X19] :
( c_Relation_Osym(X19,X1)
| ~ c_Relation_Osym(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__converse_0) ).
fof(f508,axiom,
! [X1,X19] :
( c_Relation_Osym(X19,X1)
| c_Relation_Oconverse(X19,X1,X1) != X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_1) ).
fof(f544,axiom,
! [X0,X1,X19] :
( c_Relation_Osym(X19,X1)
| ~ c_Equiv__Relations_Oequiv(X0,X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv_Osym_0) ).
fof(f519,axiom,
! [X1,X19] :
( c_Relation_Otrans(X19,X1)
| ~ c_Relation_Otrans(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__converse_0) ).
fof(f553,axiom,
! [X0,X1,X19] :
( c_Relation_Otrans(X19,X1)
| ~ c_Equiv__Relations_Oequiv(X0,X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv_Otrans_0) ).
fof(f353,axiom,
! [X1,X19] :
( c_Relation_Oantisym(X19,X1)
| ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__reflcl_0) ).
fof(f538,axiom,
! [X1,X19] :
( c_Relation_Oantisym(X19,X1)
| ~ c_Relation_Oantisym(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__converse_0) ).
fof(f217,axiom,
! [X2,X1,X19,X9] :
( c_Wellfounded_Oacyclic(X19,X1)
| ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X9,X2,X1,X1),X19,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__insert_0) ).
fof(f146,axiom,
! [X1,X19] :
( c_Wellfounded_Oacyclic(X19,X1)
| ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__converse_0) ).
fof(f403,axiom,
! [X1,X19] :
( c_Relation_Oirrefl(X19,X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X19,X1),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_1) ).
fof(f407,axiom,
! [X1,X19] :
( c_Nitpick_Orefl_H(X19,X1)
| ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X19,X1),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X19,X1),X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_1) ).
fof(f46,axiom,
! [X18,X1,X17] :
( X17 = X18
| c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) != c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
fof(f627,axiom,
! [X18,X17] :
( X17 = X18
| c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X17,X18),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__Lin_1) ).
fof(f601,axiom,
! [X2,X0,X1,X9] :
( X2 = X9
| ~ c_in(c_Pair(X2,X9,X1,X1),c_Relation_OId__on(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__on__iff_0) ).
fof(f603,axiom,
! [X18,X1,X17] :
( X17 = X18
| ~ c_in(c_Pair(X17,X18,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pair__in__Id__conv_0) ).
fof(f651,axiom,
! [X50,X51,X18,X1,X17,X5] :
( X18 = X51
| c_Pair(X17,X18,X1,X5) != c_Pair(X50,X51,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
fof(f652,axiom,
! [X50,X51,X18,X1,X17,X5] :
( X17 = X50
| c_Pair(X17,X18,X1,X5) != c_Pair(X50,X51,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
fof(f145,axiom,
! [X0,X1,X6] :
( X0 = X6
| c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
fof(f64,axiom,
! [X18,X1,X17] :
( X17 = X18
| ~ c_in(X18,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
fof(f295,axiom,
! [X1,X19,X30] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X30,X19,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__Int2_0) ).
fof(f294,axiom,
! [X1,X19,X30] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X19,X30,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__Int1_0) ).
fof(f605,axiom,
! [X1,X19,X17] :
( ~ c_Wellfounded_Owf(X19,X1)
| ~ c_in(c_Pair(X17,X17,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__irrefl_0) ).
fof(f502,axiom,
! [X3,X1] :
( ~ c_Wellfounded_Owf(X3,X1)
| c_Wellfounded_Owf(c_Relation_Orel__comp(X3,X3,X1,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__comp__self_0) ).
fof(f514,axiom,
! [X1,X19,X14,X5] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Relation_Oinv__image(X19,X14,X1,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__inv__image_0) ).
fof(f481,axiom,
! [X2,X1,X19] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_in(X2,c_Wellfounded_Oacc(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__wfD_0) ).
fof(f522,axiom,
! [X1,X19] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__trancl_0) ).
fof(f41,axiom,
! [X1,X19] :
( ~ c_Wellfounded_Owf(X19,X1)
| c_Wellfounded_Oacyclic(X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__acyclic_0) ).
fof(f516,axiom,
! [X1,X19,X14,X5] :
( ~ c_Relation_Osym(X19,X1)
| c_Relation_Osym(c_Relation_Oinv__image(X19,X14,X1,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__inv__image_0) ).
fof(f489,axiom,
! [X1,X19] :
( ~ c_Relation_Osym(X19,X1)
| c_Relation_Osym(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__converse_1) ).
fof(f507,axiom,
! [X1,X19] :
( ~ c_Relation_Osym(X19,X1)
| c_Relation_Oconverse(X19,X1,X1) = X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_0) ).
fof(f501,axiom,
! [X1,X19] :
( ~ c_Relation_Osym(X19,X1)
| c_Relation_Osym(c_Transitive__Closure_Ortrancl(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__rtrancl_0) ).
fof(f483,axiom,
! [X1,X19] :
( ~ c_Relation_Osym(X19,X1)
| c_Relation_Osym(c_Transitive__Closure_Otrancl(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__trancl_0) ).
fof(f422,axiom,
! [X1,X19] :
( ~ c_Relation_Otrans(X19,X1)
| c_lessequals(c_Relation_Orel__comp(X19,X19,X1,X1,X1),X19,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__O__subset_0) ).
fof(f351,axiom,
! [X1,X19] :
( ~ c_Relation_Otrans(X19,X1)
| c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__reflclI_0) ).
fof(f526,axiom,
! [X1,X19,X14,X5] :
( ~ c_Relation_Otrans(X19,X1)
| c_Relation_Otrans(c_Relation_Oinv__image(X19,X14,X1,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__inv__image_0) ).
fof(f520,axiom,
! [X1,X19] :
( ~ c_Relation_Otrans(X19,X1)
| c_Relation_Otrans(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__converse_1) ).
fof(f485,axiom,
! [X1,X19] :
( ~ c_Relation_Otrans(X19,X1)
| c_Transitive__Closure_Otrancl(X19,X1) = X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__id_0) ).
fof(f354,axiom,
! [X1,X19] :
( ~ c_Relation_Oantisym(X19,X1)
| c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__reflcl_1) ).
fof(f539,axiom,
! [X1,X19] :
( ~ c_Relation_Oantisym(X19,X1)
| c_Relation_Oantisym(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__converse_1) ).
fof(f373,axiom,
! [X2,X1,X19] :
( ~ c_Wellfounded_Oacyclic(X19,X1)
| ~ c_in(c_Pair(X2,X2,X1,X1),c_Transitive__Closure_Otrancl(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__def_0) ).
fof(f147,axiom,
! [X1,X19] :
( ~ c_Wellfounded_Oacyclic(X19,X1)
| c_Wellfounded_Oacyclic(c_Relation_Oconverse(X19,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__converse_1) ).
fof(f348,axiom,
! [X1,X19] :
( ~ c_Wellfounded_Oacyclic(X19,X1)
| c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__impl__antisym__rtrancl_0) ).
fof(f588,axiom,
! [X2,X1,X19] :
( ~ c_Relation_Oirrefl(X19,X1)
| ~ c_in(c_Pair(X2,X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
fof(f604,axiom,
! [X2,X1,X19] :
( ~ c_Nitpick_Orefl_H(X19,X1)
| c_in(c_Pair(X2,X2,X1,X1),X19,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_0) ).
fof(f43,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X16,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
fof(f139,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X16,X1),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
fof(f18,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X16,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
fof(f21,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X16,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
fof(f20,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X2,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
fof(f19,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X2,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
fof(f123,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X16,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
fof(f120,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X16,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
fof(f122,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X2,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
fof(f121,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X2,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
fof(f189,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
fof(f188,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
fof(f291,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
fof(f290,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
fof(f141,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
fof(f148,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
fof(f181,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = c_Lattices_Oupper__semilattice__class_Osup(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f180,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1) = c_Lattices_Oupper__semilattice__class_Osup(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f40,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = c_Lattices_Olower__semilattice__class_Oinf(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
fof(f39,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1) = c_Lattices_Olower__semilattice__class_Oinf(X9,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__commute_0) ).
fof(f271,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
fof(f276,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le1_0) ).
fof(f275,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le2_0) ).
fof(f270,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
fof(f37,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f36,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f33,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f32,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f2,axiom,
! [X2,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f297,axiom,
! [X2,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_0) ).
fof(f667,axiom,
! [X54,X53] :
( ~ class_Lattices_Olattice(X54)
| class_Lattices_Oupper__semilattice(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f668,axiom,
! [X54,X53] :
( ~ class_Lattices_Olattice(X54)
| class_Lattices_Olower__semilattice(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
fof(f673,axiom,
! [X54,X53] :
( ~ class_Lattices_Olattice(X54)
| class_Lattices_Olattice(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f192,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__sup_0) ).
fof(f183,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__inf_0) ).
fof(f14,axiom,
! [X2,X1,X9] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ominus__class_Ominus(X2,X9,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ouminus__class_Ouminus(X9,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__eq_0) ).
fof(f75,axiom,
! [X2,X1] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__compl__bot_0) ).
fof(f76,axiom,
! [X2,X1] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_Orderings_Obot__class_Obot(X1) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__inf__bot_0) ).
fof(f213,axiom,
! [X2,X1] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f671,axiom,
! [X54,X53] :
( ~ class_Lattices_Oboolean__algebra(X54)
| class_Lattices_Oboolean__algebra(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
fof(f103,axiom,
! [X2,X1] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
fof(f102,axiom,
! [X2,X1] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
fof(f127,axiom,
! [X2,X1] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
fof(f126,axiom,
! [X2,X1] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
fof(f670,axiom,
! [X54,X53] :
( ~ class_Lattices_Obounded__lattice(X54)
| class_Lattices_Obounded__lattice(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f434,axiom,
! [X2,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f674,axiom,
! [X54,X53] :
( ~ class_Orderings_Oorder(X54)
| class_Orderings_Oorder(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
fof(f59,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X9,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X16,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
fof(f282,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X2,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X9,X2,X1),c_Lattices_Oupper__semilattice__class_Osup(X16,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
fof(f283,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X9,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
fof(f58,axiom,
! [X2,X1,X9,X16] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X9,X16,X1),X2,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X9,X2,X1),c_Lattices_Olower__semilattice__class_Oinf(X16,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
fof(f669,axiom,
! [X54,X53] :
( ~ class_Lattices_Odistrib__lattice(X54)
| class_Lattices_Odistrib__lattice(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(f433,axiom,
! [X2,X1] :
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f672,axiom,
! [X54,X53] :
( ~ class_Orderings_Opreorder(X54)
| class_Orderings_Opreorder(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
fof(f89,axiom,
! [X2,X1] :
( ~ class_Orderings_Obot(X1)
| c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
fof(f676,axiom,
! [X54,X53] :
( ~ class_HOL_Oord(X54)
| class_HOL_Oord(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
fof(f675,axiom,
! [X54,X53] :
( ~ class_Orderings_Obot(X54)
| class_Orderings_Obot(tc_fun(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
fof(f131,axiom,
! [X0,X1,X18,X6,X17,X5] : c_Product__Type_OSigma(c_Set_Oinsert(X17,X0,X1),c_COMBK(c_Set_Oinsert(X18,X6,X5),tc_fun(X5,tc_bool),X1),X1,X5) = c_Set_Oinsert(c_Pair(X17,X18,X1,X5),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X0,c_COMBK(c_Set_Oinsert(X18,X6,X5),tc_fun(X5,tc_bool),X1),X1,X5),c_Product__Type_OSigma(c_Set_Oinsert(X17,X0,X1),c_COMBK(X6,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),tc_prod(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__times__insert_0) ).
fof(f47,axiom,
! [X0,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X15,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X15,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
fof(f281,axiom,
! [X0,X1,X6,X15,X5] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__Un__distrib1_0) ).
fof(f118,axiom,
! [X0,X1,X6,X15,X5] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__Int__distrib1_0) ).
fof(f289,axiom,
! [X0,X1,X6,X15,X5] : c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(X0,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),c_Product__Type_OSigma(X6,c_COMBK(X15,tc_fun(X5,tc_bool),X1),X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__Diff__distrib1_0) ).
fof(f167,axiom,
! [X3,X1,X26,X27,X4,X5] : c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X4,X26,tc_fun(tc_prod(X1,X27),tc_bool)),X3,X1,X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X4,X3,X1,X27,X5),c_Relation_Orel__comp(X26,X3,X1,X27,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__distrib2_0) ).
fof(f168,axiom,
! [X3,X1,X26,X27,X4,X5] : c_Relation_Orel__comp(X3,c_Lattices_Oupper__semilattice__class_Osup(X4,X26,tc_fun(tc_prod(X27,X5),tc_bool)),X1,X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X3,X4,X1,X27,X5),c_Relation_Orel__comp(X3,X26,X1,X27,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__distrib_0) ).
fof(f15,axiom,
! [X0,X1,X6,X14,X5] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X14,X0,X5,X1),c_Set_Oimage(X14,X6,X5,X1),tc_fun(X1,tc_bool)),c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X5,tc_bool)),X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
fof(f79,axiom,
! [X3,X1,X4] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X1),c_Transitive__Closure_Ortrancl(X4,X1),tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Un__subset_0) ).
fof(f108,axiom,
! [X3,X0,X1,X6,X5] : c_lessequals(c_Relation_OImage(X3,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X5,tc_bool)),X5,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X3,X0,X5,X1),c_Relation_OImage(X3,X6,X5,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Int__subset_0) ).
fof(f107,axiom,
! [X0,X1,X6,X14,X5] : c_lessequals(c_Set_Oimage(X14,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X5,tc_bool)),X5,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X14,X0,X5,X1),c_Set_Oimage(X14,X6,X5,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
fof(f140,axiom,
! [X0,X1,X6,X15] : c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X0,X15,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X0,X15,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
fof(f285,axiom,
! [X0,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X0,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X15,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
fof(f284,axiom,
! [X0,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
fof(f61,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X0,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X15,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
fof(f134,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X0,X15,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
fof(f60,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
fof(f133,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(X15,c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X15,X0,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X15,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
fof(f177,axiom,
! [X0,X1,X6,X15] : c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X0,X15,tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
fof(f310,axiom,
! [X0,X1,X6,X15] : c_HOL_Ominus__class_Ominus(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
fof(f315,axiom,
! [X0,X1,X6,X15] : c_HOL_Ominus__class_Ominus(X0,c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
fof(f62,axiom,
! [X0,X1,X6,X5] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(X0,X1,X5),c_Relation_ODomain(X6,X1,X5),tc_fun(X1,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(tc_prod(X1,X5),tc_bool)),X1,X5),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__Diff__subset_0) ).
fof(f73,axiom,
! [X0,X1,X6,X5] : c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(X0,X5,X1),c_Relation_ORange(X6,X5,X1),tc_fun(X1,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(tc_prod(X5,X1),tc_bool)),X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__Diff__subset_0) ).
fof(f101,axiom,
! [X0,X1,X6,X5] : c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(tc_prod(X1,X5),tc_bool)),X1,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X0,X1,X5),c_Relation_ODomain(X6,X1,X5),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__Int__subset_0) ).
fof(f195,axiom,
! [X0,X1,X6,X5] : c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(tc_prod(X5,X1),tc_bool)),X5,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(X0,X5,X1),c_Relation_ORange(X6,X5,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__Int__subset_0) ).
fof(f3,axiom,
! [X3,X0,X1,X4,X5] : c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X5,X1),tc_bool)),X0,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X3,X0,X5,X1),c_Relation_OImage(X4,X0,X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Image_0) ).
fof(f51,axiom,
! [X21,X1,X15,X22,X5] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X21,X22,tc_fun(X1,tc_bool)),X15,X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X21,X15,X1,X5),c_Product__Type_OSigma(X22,X15,X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sigma__Un__distrib1_0) ).
fof(f65,axiom,
! [X21,X1,X15,X22,X5] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X21,X22,tc_fun(X1,tc_bool)),X15,X1,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X21,X15,X1,X5),c_Product__Type_OSigma(X22,X15,X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sigma__Int__distrib1_0) ).
fof(f111,axiom,
! [X21,X1,X15,X22,X5] : c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(X21,X22,tc_fun(X1,tc_bool)),X15,X1,X5) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(X21,X15,X1,X5),c_Product__Type_OSigma(X22,X15,X1,X5),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sigma__Diff__distrib1_0) ).
fof(f92,axiom,
! [X0,X1,X6,X17] : c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
fof(f91,axiom,
! [X0,X1,X6,X17] : c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
fof(f269,axiom,
! [X1,X19,X5,X23] : c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X19,X23,tc_fun(tc_prod(X5,X1),tc_bool)),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X19,X5,X1),c_Relation_Oconverse(X23,X5,X1),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Un_0) ).
fof(f157,axiom,
! [X1,X19,X5,X23] : c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X19,X23,tc_fun(tc_prod(X5,X1),tc_bool)),X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X19,X5,X1),c_Relation_Oconverse(X23,X5,X1),tc_fun(tc_prod(X1,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Int_0) ).
fof(f4,axiom,
! [X3,X0,X1,X6,X5] : c_Relation_OImage(X3,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X5,tc_bool)),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X3,X0,X5,X1),c_Relation_OImage(X3,X6,X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Un_0) ).
fof(f323,axiom,
! [X0,X1,X6,X14,X5] : c_Set_Oimage(X14,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X5,tc_bool)),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X14,X0,X5,X1),c_Set_Oimage(X14,X6,X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
fof(f197,axiom,
! [X3,X1,X4] : c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X1),c_Transitive__Closure_Ortrancl(X4,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Un__rtrancl_0) ).
fof(f191,axiom,
! [X0,X1,X6] : c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Un_0) ).
fof(f182,axiom,
! [X0,X1,X6] : c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Int_0) ).
fof(f185,axiom,
! [X0,X1,X6,X5] : c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(tc_prod(X1,X5),tc_bool)),X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X0,X1,X5),c_Relation_ODomain(X6,X1,X5),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__Un__eq_0) ).
fof(f293,axiom,
! [X0,X1,X6,X5] : c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(tc_prod(X5,X1),tc_bool)),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(X0,X5,X1),c_Relation_ORange(X6,X5,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__Un__eq_0) ).
fof(f523,axiom,
! [X3,X41,X1,X26,X27,X4,X5] : c_Relation_Orel__comp(c_Relation_Orel__comp(X3,X4,X1,X41,X27),X26,X1,X27,X5) = c_Relation_Orel__comp(X3,c_Relation_Orel__comp(X4,X26,X41,X27,X5),X1,X41,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_O__assoc_0) ).
fof(f17,axiom,
! [X0,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
fof(f16,axiom,
! [X0,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f124,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
fof(f125,axiom,
! [X0,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X0,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
fof(f311,axiom,
! [X0,X1,X6,X15] : c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X15,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ominus__class_Ominus(X6,X15,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
fof(f94,axiom,
! [X0,X1,X6,X17] : c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X17,X0,X1),c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X17,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
fof(f511,axiom,
! [X1,X19,X27,X5,X23] : c_Relation_Oconverse(c_Relation_Orel__comp(X19,X23,X5,X27,X1),X5,X1) = c_Relation_Orel__comp(c_Relation_Oconverse(X23,X27,X1),c_Relation_Oconverse(X19,X5,X27),X1,X27,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__rel__comp_0) ).
fof(f99,axiom,
! [X18,X1,X19,X17,X5] : c_Relation_ODomain(c_Set_Oinsert(c_Pair(X17,X18,X1,X5),X19,tc_prod(X1,X5)),X1,X5) = c_Set_Oinsert(X17,c_Relation_ODomain(X19,X1,X5),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__insert_0) ).
fof(f203,axiom,
! [X18,X1,X19,X17,X5] : c_Relation_ORange(c_Set_Oinsert(c_Pair(X17,X18,X5,X1),X19,tc_prod(X5,X1)),X5,X1) = c_Set_Oinsert(X18,c_Relation_ORange(X19,X5,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__insert_0) ).
fof(f9,axiom,
! [X2,X11,X1] : c_Set_Oinsert(X11,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = c_Set_Oinsert(X2,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
fof(f90,axiom,
! [X0,X1,X6] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Diff__eq_0) ).
fof(f45,axiom,
! [X0,X1,X17] : c_Set_Oinsert(X17,c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = c_Set_Oinsert(X17,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).
fof(f401,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X19,X1),X19,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__unfold_0) ).
fof(f404,axiom,
! [X0,X1] : c_lessequals(c_Relation_OId__on(X0,X1),c_Product__Type_OSigma(X0,c_COMBK(X0,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__on__subset__Times_0) ).
fof(f81,axiom,
! [X1,X6,X17,X15] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X17,X6,X1),X15,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X17,c_Lattices_Oupper__semilattice__class_Osup(X6,X15,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f82,axiom,
! [X0,X1,X6,X17] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X17,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f266,axiom,
! [X1,X6,X14,X17,X5] : c_Set_Oimage(X14,c_Set_Oinsert(X17,X6,X5),X5,X1) = c_Set_Oinsert(hAPP(X14,X17),c_Set_Oimage(X14,X6,X5,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f344,axiom,
! [X1,X19] : c_Transitive__Closure_Otrancl(X19,X1) = c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X19,X1),X19,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold_0) ).
fof(f149,axiom,
! [X0,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).
fof(f165,axiom,
! [X0,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X6,X0,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
fof(f187,axiom,
! [X0,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
fof(f166,axiom,
! [X0,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(X6,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
fof(f292,axiom,
! [X0,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
fof(f8,axiom,
! [X0,X1,X6] : c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
fof(f474,axiom,
! [X1,X18,X14,X27,X17,X5] : hAPP(c_split(X14,X5,X27,X1),c_Pair(X17,X18,X5,X27)) = hAPP(hAPP(X14,X17),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_Osplit_0) ).
fof(f515,axiom,
! [X1,X19] : c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X19,X1),X19,X1,X1,X1) = c_Relation_Orel__comp(X19,c_Transitive__Closure_Ortrancl(X19,X1),X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__comp__rtrancl__eq_0) ).
fof(f524,axiom,
! [X3,X1,X14,X5] : c_Relation_Oconverse(c_Relation_Oinv__image(X3,X14,X5,X1),X1,X1) = c_Relation_Oinv__image(c_Relation_Oconverse(X3,X5,X5),X14,X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__inv__image_0) ).
fof(f198,axiom,
! [X0,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Compl_0) ).
fof(f13,axiom,
! [X0,X1,X6] : c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__eq_0) ).
fof(f475,axiom,
! [X18,X1,X14,X27,X17,X5] : hAPP(hAPP(X14,X17),X18) = hAPP(c_split(X14,X1,X5,X27),c_Pair(X17,X18,X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_split__case__cert_0) ).
fof(f186,axiom,
! [X0,X1,X17] : c_Set_Oinsert(X17,X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
fof(f322,axiom,
! [X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
fof(f98,axiom,
! [X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_1) ).
fof(f48,axiom,
! [X1,X5,X20] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(c_COMBK(X20,X1,X5),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
fof(f194,axiom,
! [X0,X1,X6] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ominus__class_Ominus(X6,X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
fof(f6,axiom,
! [X2,X0,X1,X9] : c_Set_Oinsert(X2,c_Set_Oinsert(X9,X0,X1),X1) = c_Set_Oinsert(X9,c_Set_Oinsert(X2,X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
fof(f78,axiom,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint2_0) ).
fof(f77,axiom,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint_0) ).
fof(f345,axiom,
! [X3,X1] : c_Transitive__Closure_Ortrancl(X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X3,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl__absorb_0) ).
fof(f399,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X19,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_Ortrancl__def_0) ).
fof(f397,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X19,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_reflcl__trancl_0) ).
fof(f346,axiom,
! [X3,X1] : c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl_0) ).
fof(f347,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__r__diff__Id_0) ).
fof(f398,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__reflcl_0) ).
fof(f352,axiom,
! [X0,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = c_Relation_OImage(c_Relation_OId__on(X0,X1),X6,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Id__on_0) ).
fof(f104,axiom,
! [X1,X6] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
fof(f105,axiom,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
fof(f130,axiom,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
fof(f537,axiom,
! [X3,X1] : c_Transitive__Closure_Ortrancl(X3,X1) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X3,X1),c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__idemp__self__comp_0) ).
fof(f349,axiom,
! [X1,X19] : c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Relation_Oconverse(X19,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Un__converse_0) ).
fof(f350,axiom,
! [X1,X19] : c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X19,c_Relation_Oconverse(X19,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Int__converse_0) ).
fof(f525,axiom,
! [X1,X19] : c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X19,X1),X1,X1) = c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X19,X1,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__converse_0) ).
fof(f542,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X19,X1,X1),X1) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X19,X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).
fof(f179,axiom,
! [X0,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f38,axiom,
! [X0,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__commute_0) ).
fof(f95,axiom,
! [X3,X1,X5] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Relation_OImage(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__empty_0) ).
fof(f190,axiom,
! [X1,X14,X5] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
fof(f12,axiom,
! [X1,X14,X5] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
fof(f596,axiom,
! [X2,X3,X1] : c_in(c_Pair(X2,X2,X1,X1),c_Transitive__Closure_Ortrancl(X3,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).
fof(f595,axiom,
! [X1,X19,X17] : c_in(c_Pair(X17,X17,X1,X1),c_Transitive__Closure_Ortrancl(X19,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).
fof(f262,axiom,
! [X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
fof(f96,axiom,
! [X2,X0,X1] : c_Set_Oinsert(X2,X0,X1) = c_Set_Oinsert(X2,c_Set_Oinsert(X2,X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
fof(f530,axiom,
! [X1,X19,X5] : c_Relation_ODomain(X19,X1,X5) = c_Relation_ORange(c_Relation_Oconverse(X19,X1,X5),X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__converse_0) ).
fof(f550,axiom,
! [X1,X19,X5] : c_Relation_ORange(X19,X5,X1) = c_Relation_ODomain(c_Relation_Oconverse(X19,X5,X1),X1,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__def_0) ).
fof(f547,axiom,
! [X1,X19,X5] : c_Relation_ORange(X19,X5,X1) = c_Relation_ODomain(c_Relation_Oconverse(X19,X5,X1),X1,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__converse_0) ).
fof(f402,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/sandbox/benchmark/theBenchmark.p',cls_Range__def__raw_0) ).
fof(f548,axiom,
! [X1,X19] : c_Transitive__Closure_Otrancl(X19,X1) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X19,X1),X19,X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold__right_0) ).
fof(f549,axiom,
! [X1,X19] : c_Transitive__Closure_Otrancl(X19,X1) = c_Relation_Orel__comp(X19,c_Transitive__Closure_Ortrancl(X19,X1),X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold__left_0) ).
fof(f618,axiom,
! [X2,X49,X9] : ~ c_in(c_Pair(X2,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_0) ).
fof(f617,axiom,
! [X2,X49] : ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_1) ).
fof(f621,axiom,
! [X2,X49] : ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_1) ).
fof(f622,axiom,
! [X2,X11,X49] : ~ c_in(c_Pair(X11,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X49,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_0) ).
fof(f614,axiom,
! [X1,X17] : c_in(c_Pair(X17,X17,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IdI_0) ).
fof(f613,axiom,
! [X2,X1] : c_in(c_Pair(X2,X2,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).
fof(f278,axiom,
! [X0,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
fof(f277,axiom,
! [X0,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X6,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
fof(f44,axiom,
! [X0,X1,X6] : c_lessequals(c_HOL_Ominus__class_Ominus(X0,X6,tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
fof(f28,axiom,
! [X0,X1,X6] : c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f29,axiom,
! [X0,X1,X6] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f254,axiom,
! [X1,X19] : c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(X19,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__diff__Id_0) ).
fof(f128,axiom,
! [X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f129,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
fof(f112,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
fof(f211,axiom,
! [X0,X1] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
fof(f509,axiom,
! [X1,X19] : c_Relation_ORange(c_Transitive__Closure_Otrancl(X19,X1),X1,X1) = c_Relation_ORange(X19,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__range_0) ).
fof(f490,axiom,
! [X1,X19] : c_Relation_ODomain(X19,X1,X1) = c_Relation_ODomain(c_Transitive__Closure_Otrancl(X19,X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__domain_0) ).
fof(f113,axiom,
! [X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
fof(f312,axiom,
! [X2,X1] : c_in(X2,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
fof(f527,axiom,
! [X0,X1] : c_Relation_OId__on(X0,X1) = c_Relation_Oconverse(c_Relation_OId__on(X0,X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Id__on_0) ).
fof(f88,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f106,axiom,
! [X1,X6,X17] : c_lessequals(X6,c_Set_Oinsert(X17,X6,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f494,axiom,
! [X3,X1,X5] : c_Relation_Orel__comp(c_Relation_OId(X1),X3,X1,X1,X5) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__O__R_0) ).
fof(f495,axiom,
! [X3,X1,X5] : c_Relation_Orel__comp(X3,c_Relation_OId(X5),X1,X5,X5) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_R__O__Id_0) ).
fof(f534,axiom,
! [X1,X19,X5] : c_Relation_Oconverse(c_Relation_Oconverse(X19,X1,X5),X5,X1) = X19,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__converse_0) ).
fof(f556,axiom,
! [X1,X19] : c_Transitive__Closure_Ortrancl(X19,X1) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X19,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).
fof(f555,axiom,
! [X3,X1] : c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X3,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__rtrancl__absorb_0) ).
fof(f517,axiom,
! [X3,X1] : c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X3,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__trancl__absorb_0) ).
fof(f93,axiom,
! [X0,X1,X17] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X17,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
fof(f263,axiom,
! [X0,X1,X17] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X17,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
fof(f504,axiom,
! [X0,X1] : c_Relation_OImage(c_Relation_OId(X1),X0,X1,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Id_0) ).
fof(f506,axiom,
! [X0,X1] : c_Relation_ODomain(c_Relation_OId__on(X0,X1),X1,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__Id__on_0) ).
fof(f532,axiom,
! [X0,X1] : c_Relation_ORange(c_Relation_OId__on(X0,X1),X1,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__Id__on_0) ).
fof(f7,axiom,
! [X10,X1,X7,X5] : hAPP(c_COMBK(X7,X1,X5),X10) = X7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
fof(f1,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f298,axiom,
! [X0,X1] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
fof(f521,axiom,
! [X1] : c_Relation_OId(X1) = c_Relation_Oconverse(c_Relation_OId(X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Id_0) ).
fof(f241,axiom,
! [X2,X1,X6] : c_in(X2,c_Set_Oinsert(X2,X6,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
fof(f240,axiom,
! [X1,X6,X17] : c_in(X17,c_Set_Oinsert(X17,X6,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X2,c_Set_Oinsert(X2,X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f267,axiom,
! [X1,X19] : c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X19,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__empty_0) ).
fof(f287,axiom,
! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X2,X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f231,axiom,
! [X1,X20] : ~ c_in(X20,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
fof(f229,axiom,
! [X2,X1] : ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
fof(f232,axiom,
! [X1,X17] : ~ c_in(X17,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f132,axiom,
! [X2,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f513,axiom,
! [X0,X1] : c_Relation_Orefl__on(X0,c_Relation_OId__on(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl__on__Id__on_0) ).
fof(f482,axiom,
! [X0,X1] : c_Relation_Osingle__valued(c_Relation_OId__on(X0,X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__valued__Id__on_0) ).
fof(f438,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
fof(f439,axiom,
! [X2,X1] : c_lessequals(X2,X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f505,axiom,
! [X1] : c_Relation_Osingle__valued(c_Relation_OId(X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__valued__Id_0) ).
fof(f512,axiom,
! [X0,X1] : c_Relation_Osym(c_Relation_OId__on(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Id__on_0) ).
fof(f518,axiom,
! [X1,X19] : c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X19,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__rtrancl_0) ).
fof(f510,axiom,
! [X1,X19] : c_Relation_Otrans(c_Transitive__Closure_Otrancl(X19,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__trancl_0) ).
fof(f493,axiom,
! [X0,X1] : c_Relation_Otrans(c_Relation_OId__on(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Id__on_0) ).
fof(f496,axiom,
! [X0,X1] : c_Relation_Oantisym(c_Relation_OId__on(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__Id__on_0) ).
fof(f492,axiom,
! [X1] : c_Relation_Osym(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Id_0) ).
fof(f535,axiom,
! [X1] : c_Relation_Otrans(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Id_0) ).
fof(f529,axiom,
! [X1] : c_Relation_Oantisym(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__Id_0) ).
fof(f650,axiom,
v_a_H____ != v_b_H____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I2_J_0) ).
fof(f649,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I1_J_0) ).
fof(f677,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f683,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f678,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
fof(f681,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f680,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f684,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f679,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
fof(f682,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f685,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
fof(f686,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f666,axiom,
( c_in(c_Pair(v_a_H____,v_b_H____,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_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_a_H____,v_b_H____,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SCT070-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.31 % Computer : n031.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 22:55:13 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % (11795)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.36 % (11799)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.36 % (11802)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)
% 0.09/0.36 % (11801)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)
% 0.09/0.36 % (11800)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)
% 0.09/0.37 % (11798)WARNING: value z3 for option sas not known
% 0.09/0.37 % (11797)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.38 % (11798)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)
% 0.16/0.38 % (11796)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.42 % (11798)First to succeed.
% 0.16/0.45 % (11798)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (11798)------------------------------
% 0.16/0.45 % (11798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.45 % (11798)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (11798)Memory used [KB]: 1717
% 0.16/0.45 % (11798)Time elapsed: 0.035 s
% 0.16/0.45 % (11798)Instructions burned: 72 (million)
% 0.16/0.45 % (11798)------------------------------
% 0.16/0.45 % (11798)------------------------------
% 0.16/0.45 % (11795)Success in time 0.133 s
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