TSTP Solution File: SET858-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:19:21 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f670,plain,
$false,
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f551,f552,f553,f554,f555,f546,f558,f572,f559,f573,f560,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623,f637,f624,f638,f627,f628,f629,f630,f631,f632,f633,f634,f635,f566,f639,f640,f550,f642,f643,f657,f644,f658,f645,f659,f648,f649,f650,f651,f652,f653,f654,f655,f656,f567,f660,f661,f557,f662,f669,f666,f543]) ).
fof(f543,plain,
~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))),
inference(resolution,[],[f542,f3]) ).
fof(f666,plain,
c_lessequals(v_m,v_m,tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f663,f3]) ).
fof(f663,plain,
( c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f662,f1]) ).
fof(f669,plain,
c_lessequals(v_n,v_n,tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f664,f3]) ).
fof(f664,plain,
( c_lessequals(v_n,v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f662,f2]) ).
fof(f662,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f557,f1]) ).
fof(f557,plain,
! [X0,X1] :
( ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f546,f185]) ).
fof(f661,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f567,f5]) ).
fof(f660,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f567,f171]) ).
fof(f567,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f22]) ).
fof(f656,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f45]) ).
fof(f655,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f38]) ).
fof(f654,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f34]) ).
fof(f653,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f27]) ).
fof(f652,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f22]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f20]) ).
fof(f650,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f16]) ).
fof(f649,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f14]) ).
fof(f648,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f550,f13]) ).
fof(f659,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623,f637,f624,f638,f627,f628,f629,f630,f631,f632,f633,f634,f635,f566,f639,f640,f550,f642,f643,f657,f644,f658,f645]) ).
fof(f645,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X5,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a) ),
inference(resolution,[],[f550,f9]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623,f637,f624,f638,f627,f628,f629,f630,f631,f632,f633,f634,f635,f566,f639,f640,f550,f642,f643,f657,f644]) ).
fof(f644,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f550,f8]) ).
fof(f657,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623,f637,f624,f638,f627,f628,f629,f630,f631,f632,f633,f634,f635,f566,f639,f640,f550,f642,f643]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f550,f7]) ).
fof(f642,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f550,f185]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f20]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f566,f5]) ).
fof(f639,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f566,f171]) ).
fof(f566,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f20]) ).
fof(f635,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f45]) ).
fof(f634,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f38]) ).
fof(f633,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f34]) ).
fof(f632,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f27]) ).
fof(f631,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f22]) ).
fof(f630,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f20]) ).
fof(f629,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f16]) ).
fof(f628,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f14]) ).
fof(f627,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f549,f13]) ).
fof(f638,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623,f637,f624]) ).
fof(f624,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X4,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a) ),
inference(resolution,[],[f549,f9]) ).
fof(f637,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622,f636,f623]) ).
fof(f623,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f549,f8]) ).
fof(f636,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603,f617,f606,f607,f608,f609,f610,f611,f612,f613,f614,f565,f618,f619,f549,f621,f622]) ).
fof(f622,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f549,f7]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f549,f185]) ).
fof(f549,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f16]) ).
fof(f619,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f565,f5]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f565,f171]) ).
fof(f565,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f16]) ).
fof(f614,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f45]) ).
fof(f613,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f38]) ).
fof(f612,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f34]) ).
fof(f611,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f27]) ).
fof(f610,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f22]) ).
fof(f609,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f20]) ).
fof(f608,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f16]) ).
fof(f607,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f14]) ).
fof(f606,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f548,f13]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602,f616,f603]) ).
fof(f603,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X3,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a) ),
inference(resolution,[],[f548,f9]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601,f615,f602]) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f548,f8]) ).
fof(f615,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582,f596,f585,f586,f587,f588,f589,f590,f591,f592,f593,f564,f598,f548,f600,f601]) ).
fof(f601,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f548,f7]) ).
fof(f600,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f548,f185]) ).
fof(f548,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f14]) ).
fof(f598,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f564,f5]) ).
fof(f564,plain,
! [X2,X3,X0,X1] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f14]) ).
fof(f593,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f45]) ).
fof(f592,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f38]) ).
fof(f591,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f34]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f27]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f22]) ).
fof(f588,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f20]) ).
fof(f587,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f16]) ).
fof(f586,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f14]) ).
fof(f585,plain,
! [X2,X3,X0,X1] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f547,f13]) ).
fof(f596,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,v_m,t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f548,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f564,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581,f595,f582]) ).
fof(f582,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,v_m,t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,v_m,t_a) != c_Zorn_OTFin__linear__lemma1__1(X2,c_Zorn_Osucc(X1,v_m,t_a),t_a) ),
inference(resolution,[],[f547,f9]) ).
fof(f595,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f548,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f564,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580,f594,f581]) ).
fof(f581,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f547,f8]) ).
fof(f594,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f548,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559,f573,f560,f564,f565,f566,f567,f568,f569,f570,f571,f562,f575,f563,f577,f547,f579,f580]) ).
fof(f580,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f547,f7]) ).
fof(f579,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f547,f185]) ).
fof(f547,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f13]) ).
fof(f577,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f563,f5]) ).
fof(f563,plain,
! [X2,X0,X1] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f13]) ).
fof(f575,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f562,f5]) ).
fof(f562,plain,
! [X0,X1] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f6]) ).
fof(f571,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f45]) ).
fof(f570,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f38]) ).
fof(f569,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f34]) ).
fof(f568,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(v_n,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f546,f27]) ).
fof(f560,plain,
! [X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| v_m != c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a) ),
inference(resolution,[],[f546,f9]) ).
fof(f573,plain,
! [X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f547,f548,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558,f572,f559]) ).
fof(f559,plain,
! [X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f546,f8]) ).
fof(f572,plain,
! [X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493,f507,f496,f497,f498,f499,f500,f501,f502,f503,f504,f441,f508,f470,f510,f509,f528,f529,f530,f531,f532,f533,f534,f535,f526,f542,f545,f547,f548,f549,f550,f551,f552,f553,f554,f555,f546,f557,f558]) ).
fof(f558,plain,
! [X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f546,f7]) ).
fof(f546,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,v_m,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f6]) ).
fof(f555,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X10,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X10,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f45]) ).
fof(f554,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X9,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f38]) ).
fof(f553,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X8,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f34]) ).
fof(f552,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f27]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f545,f22]) ).
fof(f545,plain,
! [X0,X1] :
( ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f542,f5]) ).
fof(f542,plain,
! [X0] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f540,f4]) ).
fof(f540,plain,
! [X0] :
( ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f526,f2]) ).
fof(f526,plain,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f12]) ).
fof(f535,plain,
! [X2,X0,X1] :
( c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f5]) ).
fof(f534,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,t_a),t_a),t_a),t_a),t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X7,X8,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f71]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X7,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,t_a),t_a),t_a),t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X6,X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f51]) ).
fof(f532,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,t_a),t_a),t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X5,X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f39]) ).
fof(f531,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X5,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,t_a),t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X4,X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f35]) ).
fof(f530,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X3,X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f23]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,X2,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X3,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,X2,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X2,X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f17]) ).
fof(f528,plain,
! [X2,X0,X1] :
( c_lessequals(v_m,c_Zorn_Osucc(X0,X1,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X0,X1,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f509,f15]) ).
fof(f509,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f470,f1]) ).
fof(f510,plain,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f470,f2]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(X3,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108]) ).
fof(f508,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f441,f5]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f20]) ).
fof(f504,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f45]) ).
fof(f503,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f38]) ).
fof(f502,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f34]) ).
fof(f501,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f27]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f22]) ).
fof(f499,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f20]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f16]) ).
fof(f497,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f14]) ).
fof(f496,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f425,f13]) ).
fof(f507,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492,f506,f493]) ).
fof(f493,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X4,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a) ),
inference(resolution,[],[f425,f9]) ).
fof(f506,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491,f505,f492]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f425,f8]) ).
fof(f505,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472,f486,f473,f487,f474,f488,f477,f478,f479,f480,f481,f482,f483,f484,f485,f440,f489,f425,f490,f491]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f425,f7]) ).
fof(f490,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f425,f185]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f16]) ).
fof(f489,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f440,f5]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f16]) ).
fof(f485,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f45]) ).
fof(f484,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f38]) ).
fof(f483,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f34]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f27]) ).
fof(f481,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f22]) ).
fof(f480,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f20]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f16]) ).
fof(f478,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f14]) ).
fof(f477,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f424,f13]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472,f486,f473,f487,f474]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X3,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a) ),
inference(resolution,[],[f424,f9]) ).
fof(f487,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472,f486,f473]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f424,f8]) ).
fof(f486,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454,f468,f457,f458,f459,f460,f461,f462,f463,f464,f465,f439,f469,f108,f470,f424,f471,f472]) ).
fof(f472,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f424,f7]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f424,f185]) ).
fof(f424,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f14]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(X3,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f8,f5]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f439,f5]) ).
fof(f439,plain,
! [X2,X3,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f14]) ).
fof(f465,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f45]) ).
fof(f464,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f38]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f34]) ).
fof(f462,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f27]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f22]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f20]) ).
fof(f459,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f16]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f14]) ).
fof(f457,plain,
! [X2,X3,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_m,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f423,f13]) ).
fof(f468,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,v_m,t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f439,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453,f467,f454]) ).
fof(f454,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,v_m,t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,v_m,t_a) != c_Zorn_OTFin__linear__lemma1__1(X2,c_Zorn_Osucc(X1,v_m,t_a),t_a) ),
inference(resolution,[],[f423,f9]) ).
fof(f467,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f439,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452,f466,f453]) ).
fof(f453,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f423,f8]) ).
fof(f466,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434,f448,f435,f439,f440,f441,f442,f443,f444,f445,f446,f437,f449,f438,f450,f423,f451,f452]) ).
fof(f452,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f423,f7]) ).
fof(f451,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_m,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f423,f185]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f13]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f438,f5]) ).
fof(f438,plain,
! [X2,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_m,t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f13]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f437,f5]) ).
fof(f437,plain,
! [X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_m,t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f6]) ).
fof(f446,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f45]) ).
fof(f445,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f38]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f34]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f27]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f422,f22]) ).
fof(f435,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| v_m != c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a) ),
inference(resolution,[],[f422,f9]) ).
fof(f448,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f423,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433,f447,f434]) ).
fof(f434,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f422,f8]) ).
fof(f447,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375,f389,f378,f379,f380,f381,f382,f383,f384,f385,f386,f205,f408,f65,f251,f413,f414,f418,f419,f420,f423,f424,f425,f426,f427,f428,f429,f430,f431,f422,f432,f433]) ).
fof(f433,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,v_m,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f422,f7]) ).
fof(f432,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f422,f185]) ).
fof(f422,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,v_m,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f6]) ).
fof(f431,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X10,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X10,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f45]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X9,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f38]) ).
fof(f429,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X8,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f34]) ).
fof(f428,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_m,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f27]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_m,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f22]) ).
fof(f426,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_m,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f420,f20]) ).
fof(f420,plain,
! [X0,X1] :
( ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f418,f5]) ).
fof(f419,plain,
! [X0] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f416,f171]) ).
fof(f416,plain,
! [X0] :
( c_lessequals(v_n,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f414,f2]) ).
fof(f418,plain,
! [X0] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f415,f4]) ).
fof(f415,plain,
! [X0] :
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f414,f1]) ).
fof(f414,plain,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f413,f5]) ).
fof(f413,plain,
! [X0] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f251,f2]) ).
fof(f251,plain,
! [X0,X1] :
( ~ c_in(v_n,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f185,f186]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2) != X1
| ~ c_lessequals(X0,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f9,f5]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f205,f5]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f22]) ).
fof(f386,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f45]) ).
fof(f385,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f38]) ).
fof(f384,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f34]) ).
fof(f383,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f27]) ).
fof(f382,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f22]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f20]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f16]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f14]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f190,f13]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374,f388,f375]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X5,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X5,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a) ),
inference(resolution,[],[f190,f9]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373,f387,f374]) ).
fof(f374,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f190,f8]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337,f351,f340,f341,f342,f343,f344,f345,f346,f347,f348,f204,f370,f190,f372,f373]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f190,f7]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f190,f185]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f20]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f204,f5]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f20]) ).
fof(f348,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f45]) ).
fof(f347,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f38]) ).
fof(f346,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f34]) ).
fof(f345,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f27]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f22]) ).
fof(f343,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f20]) ).
fof(f342,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f16]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f14]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f189,f13]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f190,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f204,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336,f350,f337]) ).
fof(f337,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X4,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X4,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),t_a) ),
inference(resolution,[],[f189,f9]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f190,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f204,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335,f349,f336]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f189,f8]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(global_subsumption,[],[f3,f4,f1,f2,f6,f5,f12,f13,f14,f15,f19,f16,f21,f17,f25,f26,f11,f20,f32,f33,f22,f36,f37,f23,f42,f43,f44,f27,f47,f48,f49,f50,f35,f54,f55,f56,f57,f58,f9,f61,f62,f63,f64,f65,f34,f66,f67,f68,f69,f70,f39,f74,f75,f76,f77,f78,f79,f80,f38,f82,f83,f84,f85,f86,f87,f88,f51,f91,f92,f93,f94,f95,f96,f97,f98,f8,f100,f102,f103,f104,f105,f106,f107,f108,f109,f60,f110,f111,f45,f128,f129,f130,f131,f132,f133,f134,f135,f7,f136,f137,f138,f139,f140,f141,f142,f143,f144,f71,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f101,f161,f159,f160,f162,f163,f165,f164,f168,f10,f180,f181,f182,f171,f190,f191,f192,f193,f194,f195,f186,f196,f197,f198,f199,f204,f205,f206,f207,f208,f209,f200,f210,f201,f211,f187,f212,f213,f214,f217,f218,f219,f220,f221,f222,f223,f224,f225,f202,f226,f188,f227,f228,f229,f232,f233,f234,f235,f236,f237,f238,f239,f240,f203,f241,f185,f242,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f169,f31,f312,f313,f189,f334,f335]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f189,f7]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f189,f185]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f16]) ).
fof(f313,plain,
! [X0,X1] :
( ~ c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_n = X0
| ~ c_lessequals(v_n,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f31,f2]) ).
fof(f312,plain,
! [X0,X1] :
( ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = X0
| ~ c_lessequals(v_m,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f31,f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| X0 = X1
| ~ c_lessequals(X1,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X0,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f11,f5]) ).
fof(f169,plain,
! [X0,X1] :
( c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),X1,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f164,f1]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,X3,tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X3,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f5]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f185,f188]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_n,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f185,f187]) ).
fof(f250,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X10,X2),X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X10,X2),X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X10,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f71]) ).
fof(f249,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X9,X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X9,X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X9,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f51]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X8,X2),X2),X2),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X8,X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X8,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f39]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X2),X2),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X2),X2),X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f35]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X2),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X2),X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X6,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f23]) ).
fof(f245,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X2),X2),tc_set(tc_set(X2)))
| c_lessequals(X5,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f17]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,X4,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,X4,X2),tc_set(tc_set(X2)))
| c_lessequals(X4,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f15]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f185,f12]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f184,f7]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f183,f8]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f176,f9]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) = X0 ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) = X0 ),
inference(resolution,[],[f10,f11]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f203,f5]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f16]) ).
fof(f240,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f45]) ).
fof(f239,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f38]) ).
fof(f238,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f34]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f27]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f22]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f20]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f16]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f14]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f188,f13]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),c_Zorn_OTFin(X3,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a) != c_Zorn_OTFin__linear__lemma1__1(X3,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),t_a) ),
inference(resolution,[],[f188,f9]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f188,f8]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f188,f7]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f14]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f202,f5]) ).
fof(f202,plain,
! [X2,X3,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f14]) ).
fof(f225,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f45]) ).
fof(f224,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f38]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f34]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f27]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f22]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f20]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f16]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,v_n,t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f14]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,v_n,t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f187,f13]) ).
fof(f214,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X1,v_n,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X1,v_n,t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(X1,v_n,t_a) != c_Zorn_OTFin__linear__lemma1__1(X2,c_Zorn_Osucc(X1,v_n,t_a),t_a) ),
inference(resolution,[],[f187,f9]) ).
fof(f213,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),c_Zorn_Osucc(X2,v_n,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_n,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_n,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f187,f8]) ).
fof(f212,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Osucc(X2,v_n,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Zorn_Osucc(X2,v_n,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f187,f7]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_n,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f13]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f201,f5]) ).
fof(f201,plain,
! [X2,X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,v_n,t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f13]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_n,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f200,f5]) ).
fof(f200,plain,
! [X0,X1] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,v_n,t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f6]) ).
fof(f209,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f45]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f38]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f34]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),tc_set(tc_set(t_a))),
inference(resolution,[],[f186,f27]) ).
fof(f199,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| v_n = X0 ),
inference(resolution,[],[f186,f11]) ).
fof(f198,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| v_n != c_Zorn_OTFin__linear__lemma1__1(X1,v_n,t_a) ),
inference(resolution,[],[f186,f9]) ).
fof(f197,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f186,f8]) ).
fof(f196,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,v_n,t_a),c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f186,f7]) ).
fof(f186,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,v_n,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f6]) ).
fof(f195,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X10,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X10,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f45]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X9,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f38]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X8,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f34]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,v_n,t_a),t_a),t_a),t_a),t_a),t_a),t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f27]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,v_n,t_a),t_a),t_a),t_a),t_a),t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f171,f22]) ).
fof(f171,plain,
! [X0,X1] :
( ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f170,f4]) ).
fof(f170,plain,
! [X0,X1] :
( ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f167,f3]) ).
fof(f167,plain,
! [X0,X1] :
( c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f164,f2]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2) ),
inference(subsumption_resolution,[],[f177,f7]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2) ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2) ),
inference(resolution,[],[f10,f9]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f178,f7]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f10,f8]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f179,f7]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f10,f7]) ).
fof(f10,axiom,
! [X2,X6,X7,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X5,c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X2),X6,tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_m,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X3,tc_set(tc_set(t_a)))
| ~ c_in(X3,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X3,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f164,f7]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f162,f5]) ).
fof(f165,plain,
! [X2,X0,X1] :
( c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f163,f5]) ).
fof(f163,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f160,f5]) ).
fof(f162,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f159,f5]) ).
fof(f160,plain,
! [X0] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f101,f2]) ).
fof(f159,plain,
! [X0] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f101,f1]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X3,X2),X1,tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_OTFin__linear__lemma1__1(X0,X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X3,X2),X4,tc_set(tc_set(X2)))
| ~ c_in(X4,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X4,X3,tc_set(tc_set(X2))) ),
inference(resolution,[],[f101,f7]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| c_lessequals(X1,X3,tc_set(tc_set(X2))) ),
inference(resolution,[],[f8,f12]) ).
fof(f157,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X2),X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X10,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X2),X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X10,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X2),X2),X2),X2),X2),X2),X2) != c_Zorn_OTFin__linear__lemma1__1(X10,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X2),X2),X2),X2),X2),X2),X2),X2) ),
inference(resolution,[],[f71,f9]) ).
fof(f156,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),X2),c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f71,f8]) ).
fof(f155,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X2),X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f71,f7]) ).
fof(f154,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,c_Zorn_Osucc(X17,c_Zorn_Osucc(X18,X0,X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),X19),tc_set(tc_set(X19))),
inference(resolution,[],[f71,f45]) ).
fof(f153,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,c_Zorn_Osucc(X17,X0,X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),tc_set(tc_set(X18))),
inference(resolution,[],[f71,f38]) ).
fof(f152,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,X0,X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),tc_set(tc_set(X17))),
inference(resolution,[],[f71,f34]) ).
fof(f151,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,X0,X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),tc_set(tc_set(X16))),
inference(resolution,[],[f71,f27]) ).
fof(f150,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,X0,X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),tc_set(tc_set(X15))),
inference(resolution,[],[f71,f22]) ).
fof(f149,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f71,f20]) ).
fof(f148,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f71,f16]) ).
fof(f147,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f71,f14]) ).
fof(f71,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X8,X9),X9),X9),X9),X9),X9),X9),X9),X10,tc_set(tc_set(X9)))
| c_lessequals(X8,X10,tc_set(tc_set(X9))) ),
inference(resolution,[],[f34,f5]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(X3,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f7,f5]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),X8),c_Zorn_OTFin(X0,X8),tc_set(tc_set(X8)))
| ~ c_in(X9,c_Zorn_OTFin(X0,X8),tc_set(tc_set(X8)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),c_Zorn_OTFin(X0,X8),tc_set(tc_set(X8)))
| c_lessequals(X9,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8)))
| c_lessequals(X7,X9,tc_set(tc_set(X8))) ),
inference(resolution,[],[f7,f51]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),X7),c_Zorn_OTFin(X0,X7),tc_set(tc_set(X7)))
| ~ c_in(X8,c_Zorn_OTFin(X0,X7),tc_set(tc_set(X7)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),c_Zorn_OTFin(X0,X7),tc_set(tc_set(X7)))
| c_lessequals(X8,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),tc_set(tc_set(X7)))
| c_lessequals(X6,X8,tc_set(tc_set(X7))) ),
inference(resolution,[],[f7,f39]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),X6),c_Zorn_OTFin(X0,X6),tc_set(tc_set(X6)))
| ~ c_in(X7,c_Zorn_OTFin(X0,X6),tc_set(tc_set(X6)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),c_Zorn_OTFin(X0,X6),tc_set(tc_set(X6)))
| c_lessequals(X7,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),tc_set(tc_set(X6)))
| c_lessequals(X5,X7,tc_set(tc_set(X6))) ),
inference(resolution,[],[f7,f35]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),X5),c_Zorn_OTFin(X0,X5),tc_set(tc_set(X5)))
| ~ c_in(X6,c_Zorn_OTFin(X0,X5),tc_set(tc_set(X5)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),c_Zorn_OTFin(X0,X5),tc_set(tc_set(X5)))
| c_lessequals(X6,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),tc_set(tc_set(X5)))
| c_lessequals(X4,X6,tc_set(tc_set(X5))) ),
inference(resolution,[],[f7,f23]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),X4),c_Zorn_OTFin(X0,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X0,X4),tc_set(tc_set(X4)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),c_Zorn_OTFin(X0,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),tc_set(tc_set(X4)))
| c_lessequals(X3,X5,tc_set(tc_set(X4))) ),
inference(resolution,[],[f7,f17]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,X2,X3),X3),c_Zorn_OTFin(X0,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X0,X3),tc_set(tc_set(X3)))
| ~ c_in(c_Zorn_Osucc(X1,X2,X3),c_Zorn_OTFin(X0,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,c_Zorn_Osucc(X1,X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X2,X4,tc_set(tc_set(X3))) ),
inference(resolution,[],[f7,f15]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| c_lessequals(X1,X3,tc_set(tc_set(X2))) ),
inference(resolution,[],[f7,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_in(X4,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X4,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) != c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2)
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f7,f60]) ).
fof(f7,axiom,
! [X2,X6,X7,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f135,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X10,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),X12,tc_set(tc_set(X11)))
| c_lessequals(X10,X12,tc_set(tc_set(X11))) ),
inference(resolution,[],[f45,f5]) ).
fof(f134,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,c_Zorn_Osucc(X17,X0,X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),X18),tc_set(tc_set(X18))),
inference(resolution,[],[f45,f51]) ).
fof(f133,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,X0,X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),tc_set(tc_set(X17))),
inference(resolution,[],[f45,f39]) ).
fof(f132,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,X0,X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),tc_set(tc_set(X16))),
inference(resolution,[],[f45,f35]) ).
fof(f131,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,X0,X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),tc_set(tc_set(X15))),
inference(resolution,[],[f45,f23]) ).
fof(f130,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f45,f17]) ).
fof(f129,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f45,f15]) ).
fof(f128,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f45,f12]) ).
fof(f45,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f23,f22]) ).
fof(f111,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| v_n != c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| c_lessequals(v_n,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f60,f2]) ).
fof(f110,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| v_m != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f60,f1]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2) != X1
| c_lessequals(X1,X0,tc_set(tc_set(X2))) ),
inference(resolution,[],[f9,f12]) ).
fof(f109,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X1,X2),c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2))) ),
inference(factoring,[],[f8]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),X8),c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8)))
| ~ c_in(X9,c_Zorn_OTFin(X0,X8),tc_set(tc_set(X8)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),c_Zorn_OTFin(X0,X8),tc_set(tc_set(X8)))
| c_lessequals(X9,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8)))
| c_lessequals(X7,X9,tc_set(tc_set(X8))) ),
inference(resolution,[],[f8,f51]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),X7),c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),tc_set(tc_set(X7)))
| ~ c_in(X8,c_Zorn_OTFin(X0,X7),tc_set(tc_set(X7)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),c_Zorn_OTFin(X0,X7),tc_set(tc_set(X7)))
| c_lessequals(X8,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),tc_set(tc_set(X7)))
| c_lessequals(X6,X8,tc_set(tc_set(X7))) ),
inference(resolution,[],[f8,f39]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),X6),c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),tc_set(tc_set(X6)))
| ~ c_in(X7,c_Zorn_OTFin(X0,X6),tc_set(tc_set(X6)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),c_Zorn_OTFin(X0,X6),tc_set(tc_set(X6)))
| c_lessequals(X7,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),tc_set(tc_set(X6)))
| c_lessequals(X5,X7,tc_set(tc_set(X6))) ),
inference(resolution,[],[f8,f35]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),X5),c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),tc_set(tc_set(X5)))
| ~ c_in(X6,c_Zorn_OTFin(X0,X5),tc_set(tc_set(X5)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),c_Zorn_OTFin(X0,X5),tc_set(tc_set(X5)))
| c_lessequals(X6,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),tc_set(tc_set(X5)))
| c_lessequals(X4,X6,tc_set(tc_set(X5))) ),
inference(resolution,[],[f8,f23]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),X4),c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X0,X4),tc_set(tc_set(X4)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),c_Zorn_OTFin(X0,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),tc_set(tc_set(X4)))
| c_lessequals(X3,X5,tc_set(tc_set(X4))) ),
inference(resolution,[],[f8,f17]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,c_Zorn_Osucc(X1,X2,X3),X3),c_Zorn_Osucc(X1,X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X0,X3),tc_set(tc_set(X3)))
| ~ c_in(c_Zorn_Osucc(X1,X2,X3),c_Zorn_OTFin(X0,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,c_Zorn_Osucc(X1,X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X2,X4,tc_set(tc_set(X3))) ),
inference(resolution,[],[f8,f15]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(X1,X4,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f8,f5]) ).
fof(f8,axiom,
! [X2,X6,X7,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f98,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X2),X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X9,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X2),X2),X2),X2),X2),X2),c_Zorn_OTFin(X9,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X2),X2),X2),X2),X2),X2) != c_Zorn_OTFin__linear__lemma1__1(X9,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X2),X2),X2),X2),X2),X2),X2) ),
inference(resolution,[],[f51,f9]) ).
fof(f97,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,c_Zorn_Osucc(X16,X0,X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),X17),tc_set(tc_set(X17))),
inference(resolution,[],[f51,f38]) ).
fof(f96,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,X0,X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),tc_set(tc_set(X16))),
inference(resolution,[],[f51,f34]) ).
fof(f95,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,X0,X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),tc_set(tc_set(X15))),
inference(resolution,[],[f51,f27]) ).
fof(f94,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f51,f22]) ).
fof(f93,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f51,f20]) ).
fof(f92,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f51,f16]) ).
fof(f91,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f51,f14]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X7,X8),X8),X8),X8),X8),X8),X8),X9,tc_set(tc_set(X8)))
| c_lessequals(X7,X9,tc_set(tc_set(X8))) ),
inference(resolution,[],[f27,f5]) ).
fof(f88,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X9,X10),X10),X10),X10),X10),X10),X10),X10),X10),X11,tc_set(tc_set(X10)))
| c_lessequals(X9,X11,tc_set(tc_set(X10))) ),
inference(resolution,[],[f38,f5]) ).
fof(f87,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,c_Zorn_Osucc(X15,X0,X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),X16),tc_set(tc_set(X16))),
inference(resolution,[],[f38,f39]) ).
fof(f86,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,X0,X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),tc_set(tc_set(X15))),
inference(resolution,[],[f38,f35]) ).
fof(f85,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f38,f23]) ).
fof(f84,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f38,f17]) ).
fof(f83,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f38,f15]) ).
fof(f82,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f38,f12]) ).
fof(f38,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f22,f17]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X1,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X2),X2),X2),X2),X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X8,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X2),X2),X2),X2),X2),c_Zorn_OTFin(X8,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X2),X2),X2),X2),X2) != c_Zorn_OTFin__linear__lemma1__1(X8,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X2),X2),X2),X2),X2),X2) ),
inference(resolution,[],[f39,f9]) ).
fof(f79,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,c_Zorn_Osucc(X14,X0,X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),X15),tc_set(tc_set(X15))),
inference(resolution,[],[f39,f34]) ).
fof(f78,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f39,f27]) ).
fof(f77,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f39,f22]) ).
fof(f76,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f39,f20]) ).
fof(f75,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f39,f16]) ).
fof(f74,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f39,f14]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X6,X7),X7),X7),X7),X7),X7),X8,tc_set(tc_set(X7)))
| c_lessequals(X6,X8,tc_set(tc_set(X7))) ),
inference(resolution,[],[f22,f5]) ).
fof(f70,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,c_Zorn_Osucc(X13,X0,X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),X14),tc_set(tc_set(X14))),
inference(resolution,[],[f34,f35]) ).
fof(f69,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f34,f23]) ).
fof(f68,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f34,f17]) ).
fof(f67,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f34,f15]) ).
fof(f66,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f34,f12]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X9),X9),X9),X9),X9),X9),X9),X9),tc_set(tc_set(X9))),
inference(resolution,[],[f20,f17]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),tc_set(tc_set(X6)))
| ~ c_in(X0,c_Zorn_OTFin(X7,X6),tc_set(tc_set(X6)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),c_Zorn_OTFin(X7,X6),tc_set(tc_set(X6)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6) != c_Zorn_OTFin__linear__lemma1__1(X7,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),X6)
| c_lessequals(X5,X0,tc_set(tc_set(X6))) ),
inference(resolution,[],[f9,f35]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),tc_set(tc_set(X5)))
| ~ c_in(X0,c_Zorn_OTFin(X6,X5),tc_set(tc_set(X5)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),c_Zorn_OTFin(X6,X5),tc_set(tc_set(X5)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5) != c_Zorn_OTFin__linear__lemma1__1(X6,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),X5)
| c_lessequals(X4,X0,tc_set(tc_set(X5))) ),
inference(resolution,[],[f9,f23]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),tc_set(tc_set(X4)))
| ~ c_in(X0,c_Zorn_OTFin(X5,X4),tc_set(tc_set(X4)))
| ~ c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),c_Zorn_OTFin(X5,X4),tc_set(tc_set(X4)))
| c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4) != c_Zorn_OTFin__linear__lemma1__1(X5,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),X4)
| c_lessequals(X3,X0,tc_set(tc_set(X4))) ),
inference(resolution,[],[f9,f17]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,c_Zorn_Osucc(X1,X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X0,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
| ~ c_in(c_Zorn_Osucc(X1,X2,X3),c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
| c_Zorn_Osucc(X1,X2,X3) != c_Zorn_OTFin__linear__lemma1__1(X4,c_Zorn_Osucc(X1,X2,X3),X3)
| c_lessequals(X2,X0,tc_set(tc_set(X3))) ),
inference(resolution,[],[f9,f15]) ).
fof(f9,axiom,
! [X2,X6,X7,X5] :
( c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f58,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,c_Zorn_Osucc(X12,X0,X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),X13),tc_set(tc_set(X13))),
inference(resolution,[],[f35,f27]) ).
fof(f57,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f35,f22]) ).
fof(f56,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f35,f20]) ).
fof(f55,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f35,f16]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X9),X9),X9),X9),X9),X9),X9),X9),tc_set(tc_set(X9))),
inference(resolution,[],[f35,f14]) ).
fof(f35,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X5,X6),X6),X6),X6),X6),X7,tc_set(tc_set(X6)))
| c_lessequals(X5,X7,tc_set(tc_set(X6))) ),
inference(resolution,[],[f20,f5]) ).
fof(f50,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,c_Zorn_Osucc(X11,X0,X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),X12),tc_set(tc_set(X12))),
inference(resolution,[],[f27,f23]) ).
fof(f49,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,c_Zorn_Osucc(X10,X0,X11),X11),X11),X11),X11),X11),X11),X11),X11),X11),tc_set(tc_set(X11))),
inference(resolution,[],[f27,f17]) ).
fof(f48,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f27,f15]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X9),X9),X9),X9),X9),X9),X9),X9),tc_set(tc_set(X9))),
inference(resolution,[],[f27,f12]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X8),X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8))),
inference(resolution,[],[f17,f16]) ).
fof(f44,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,c_Zorn_Osucc(X9,X0,X10),X10),X10),X10),X10),X10),X10),X10),X10),tc_set(tc_set(X10))),
inference(resolution,[],[f23,f20]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X9),X9),X9),X9),X9),X9),X9),X9),tc_set(tc_set(X9))),
inference(resolution,[],[f23,f16]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X8),X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8))),
inference(resolution,[],[f23,f14]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X4,X5),X5),X5),X5),X6,tc_set(tc_set(X5)))
| c_lessequals(X4,X6,tc_set(tc_set(X5))) ),
inference(resolution,[],[f16,f5]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,c_Zorn_Osucc(X8,X0,X9),X9),X9),X9),X9),X9),X9),X9),tc_set(tc_set(X9))),
inference(resolution,[],[f22,f15]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X8),X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8))),
inference(resolution,[],[f22,f12]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X0,X7),X7),X7),X7),X7),X7),tc_set(tc_set(X7))),
inference(resolution,[],[f16,f15]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,c_Zorn_Osucc(X7,X0,X8),X8),X8),X8),X8),X8),X8),tc_set(tc_set(X8))),
inference(resolution,[],[f20,f15]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X0,X7),X7),X7),X7),X7),X7),tc_set(tc_set(X7))),
inference(resolution,[],[f20,f12]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X0,X6),X6),X6),X6),X6),tc_set(tc_set(X6))),
inference(resolution,[],[f15,f14]) ).
fof(f11,axiom,
! [X2,X8,X6,X5] :
( c_lessequals(c_Zorn_Osucc(X5,X8,X2),X6,tc_set(tc_set(X2)))
| ~ c_lessequals(X8,X6,tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X8,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| X6 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(f26,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,c_Zorn_Osucc(X6,X0,X7),X7),X7),X7),X7),X7),tc_set(tc_set(X7))),
inference(resolution,[],[f17,f14]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X0,X6),X6),X6),X6),X6),tc_set(tc_set(X6))),
inference(resolution,[],[f17,f13]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X3,X4),X4),X4),X5,tc_set(tc_set(X4)))
| c_lessequals(X3,X5,tc_set(tc_set(X4))) ),
inference(resolution,[],[f14,f5]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,c_Zorn_Osucc(X5,X0,X6),X6),X6),X6),X6),tc_set(tc_set(X6))),
inference(resolution,[],[f16,f12]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X0,X5),X5),X5),X5),tc_set(tc_set(X5))),
inference(resolution,[],[f14,f12]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,c_Zorn_Osucc(X4,X0,X5),X5),X5),X5),tc_set(tc_set(X5))),
inference(resolution,[],[f15,f13]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_Osucc(X1,X2,X3),X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X2,X4,tc_set(tc_set(X3))) ),
inference(resolution,[],[f13,f5]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,c_Zorn_Osucc(X3,X0,X4),X4),X4),tc_set(tc_set(X4))),
inference(resolution,[],[f13,f12]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,c_Zorn_Osucc(X2,X0,X3),X3),tc_set(tc_set(X3))),
inference(resolution,[],[f12,f6]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X1,X3,tc_set(tc_set(X2))) ),
inference(resolution,[],[f5,f6]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f6,axiom,
! [X2,X4,X5] : c_lessequals(X4,c_Zorn_Osucc(X5,X4,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f2,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,axiom,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n015.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 16:55:22 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % (24669)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31 % (24670)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.31 % (24676)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)
% 0.15/0.31 % (24672)WARNING: value z3 for option sas not known
% 0.15/0.31 % (24671)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.31 % (24673)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.31 % (24674)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)
% 0.15/0.31 % (24672)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)
% 0.15/0.31 % (24675)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.36 % (24672)First to succeed.
% 0.15/0.36 % (24676)Also succeeded, but the first one will report.
% 0.15/0.36 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 % (24677)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.38 % (24672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24669"
% 0.15/0.38 % (24672)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (24672)------------------------------
% 0.15/0.38 % (24672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (24672)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (24672)Memory used [KB]: 1398
% 0.15/0.38 % (24672)Time elapsed: 0.063 s
% 0.15/0.38 % (24672)Instructions burned: 135 (million)
% 0.15/0.38 % (24669)Success in time 0.081 s
%------------------------------------------------------------------------------