TSTP Solution File: SET682+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET682+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:11:23 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f295,f314,f439,f482,f485,f488,f491,f495,f499,f503,f506,f523,f525,f528]) ).
fof(f528,plain,
( ~ spl16_1
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl16_1
| ~ spl16_4
| ~ spl16_5 ),
inference(global_subsumption,[],[f526,f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515,f516,f517,f518,f442,f519,f520,f479,f473,f521,f405,f279,f293]) ).
fof(f293,plain,
( ilf_type(sK10(sK4),member_type(sK3))
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl16_5
<=> ilf_type(sK10(sK4),member_type(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f279,plain,
( ~ ilf_type(sK9(sK9(power_set(range_of(sK4)))),member_type(sK3))
| empty(sK9(power_set(range_of(sK4)))) ),
inference(resolution,[],[f267,f223]) ).
fof(f405,plain,
( empty(sK9(power_set(range_of(sK4))))
| ~ ilf_type(sK14(sK9(power_set(range_of(sK4)))),member_type(sK3)) ),
inference(resolution,[],[f380,f267]) ).
fof(f521,plain,
( ~ ilf_type(sK14(sK9(power_set(range_of(sK4)))),member_type(sK3))
| empty(sK9(power_set(range_of(sK4)))) ),
inference(forward_demodulation,[],[f413,f263]) ).
fof(f413,plain,
( empty(sK9(power_set(range_of(sK4))))
| ~ ilf_type(sK14(sK9(power_set(range(sK2,sK3,sK4)))),member_type(sK3)) ),
inference(forward_demodulation,[],[f408,f263]) ).
fof(f408,plain,
( empty(sK9(power_set(range(sK2,sK3,sK4))))
| ~ ilf_type(sK14(sK9(power_set(range(sK2,sK3,sK4)))),member_type(sK3)) ),
inference(resolution,[],[f380,f102]) ).
fof(f473,plain,
( member(sK9(sK9(power_set(range_of(sK4)))),sK3)
| empty(sK9(power_set(range_of(sK4)))) ),
inference(resolution,[],[f457,f223]) ).
fof(f479,plain,
( member(sK14(sK9(power_set(range_of(sK4)))),sK3)
| empty(sK9(power_set(range_of(sK4)))) ),
inference(resolution,[],[f457,f380]) ).
fof(f520,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515,f516,f517,f518,f442,f519]) ).
fof(f519,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| sP0(domain_of(sK4))
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f281,f289]) ).
fof(f442,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| ~ spl16_4 ),
inference(resolution,[],[f441,f267]) ).
fof(f518,plain,
( member(sK10(sK4),sK3)
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515,f516,f517]) ).
fof(f517,plain,
( member(sK10(sK4),sK3)
| empty(domain_of(sK4))
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f474,f289]) ).
fof(f474,plain,
( member(sK10(sK4),sK3)
| ~ ilf_type(sK4,binary_relation_type)
| empty(domain_of(sK4)) ),
inference(resolution,[],[f457,f257]) ).
fof(f516,plain,
( member(sK10(sK4),sK3)
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515]) ).
fof(f515,plain,
( member(sK10(sK4),sK3)
| sP0(domain_of(sK4))
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f475,f289]) ).
fof(f475,plain,
( member(sK10(sK4),sK3)
| ~ ilf_type(sK4,binary_relation_type)
| sP0(domain_of(sK4)) ),
inference(resolution,[],[f457,f255]) ).
fof(f476,plain,
( member(sK10(sK4),sK3)
| ~ spl16_4 ),
inference(resolution,[],[f457,f441]) ).
fof(f302,plain,
~ empty(domain_of(sK4)),
inference(superposition,[],[f202,f296]) ).
fof(f305,plain,
~ empty(domain_of(sK4)),
inference(resolution,[],[f303,f201]) ).
fof(f461,plain,
( member(sK9(domain_of(sK4)),sK2)
| empty(domain_of(sK4)) ),
inference(resolution,[],[f456,f151]) ).
fof(f464,plain,
( member(sK14(domain_of(sK4)),sK2)
| empty(domain_of(sK4)) ),
inference(resolution,[],[f456,f369]) ).
fof(f514,plain,
( ~ ilf_type(sK9(range_of(sK4)),member_type(sK3))
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513]) ).
fof(f513,plain,
( empty(range_of(sK4))
| ~ ilf_type(sK9(range_of(sK4)),member_type(sK3)) ),
inference(forward_demodulation,[],[f512,f263]) ).
fof(f512,plain,
( ~ ilf_type(sK9(range_of(sK4)),member_type(sK3))
| empty(range(sK2,sK3,sK4)) ),
inference(forward_demodulation,[],[f200,f263]) ).
fof(f511,plain,
( ~ ilf_type(sK9(range_of(sK4)),member_type(sK3))
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278]) ).
fof(f278,plain,
( ~ ilf_type(sK9(range_of(sK4)),member_type(sK3))
| empty(range_of(sK4)) ),
inference(resolution,[],[f267,f151]) ).
fof(f510,plain,
( ~ ilf_type(sK14(range_of(sK4)),member_type(sK3))
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375]) ).
fof(f375,plain,
( empty(range_of(sK4))
| ~ ilf_type(sK14(range_of(sK4)),member_type(sK3)) ),
inference(resolution,[],[f369,f267]) ).
fof(f509,plain,
( ~ ilf_type(sK14(range_of(sK4)),member_type(sK3))
| ~ spl16_4 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f279,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508]) ).
fof(f508,plain,
( ~ ilf_type(sK14(range_of(sK4)),member_type(sK3))
| empty(range_of(sK4)) ),
inference(forward_demodulation,[],[f507,f263]) ).
fof(f507,plain,
( empty(range_of(sK4))
| ~ ilf_type(sK14(range(sK2,sK3,sK4)),member_type(sK3)) ),
inference(forward_demodulation,[],[f378,f263]) ).
fof(f378,plain,
( empty(range(sK2,sK3,sK4))
| ~ ilf_type(sK14(range(sK2,sK3,sK4)),member_type(sK3)) ),
inference(resolution,[],[f369,f102]) ).
fof(f443,plain,
( ~ empty(range_of(sK4))
| ~ spl16_4 ),
inference(resolution,[],[f441,f201]) ).
fof(f472,plain,
( member(sK9(range_of(sK4)),sK3)
| empty(range_of(sK4)) ),
inference(resolution,[],[f457,f151]) ).
fof(f478,plain,
( member(sK14(range_of(sK4)),sK3)
| empty(range_of(sK4)) ),
inference(resolution,[],[f457,f369]) ).
fof(f500,plain,
! [X0] : member(range_of(sK4),power_set(X0)),
inference(subsumption_resolution,[],[f477,f345]) ).
fof(f477,plain,
! [X0] :
( member(sK11(range_of(sK4),X0),sK3)
| member(range_of(sK4),power_set(X0)) ),
inference(resolution,[],[f457,f169]) ).
fof(f457,plain,
! [X0] :
( ~ member(X0,range_of(sK4))
| member(X0,sK3) ),
inference(resolution,[],[f389,f333]) ).
fof(f465,plain,
( member(sK14(sK9(power_set(domain_of(sK4)))),sK2)
| empty(sK9(power_set(domain_of(sK4)))) ),
inference(resolution,[],[f456,f380]) ).
fof(f463,plain,
! [X0] :
( member(sK11(domain_of(sK4),X0),sK2)
| member(domain_of(sK4),power_set(X0)) ),
inference(resolution,[],[f456,f169]) ).
fof(f462,plain,
( member(sK9(sK9(power_set(domain_of(sK4)))),sK2)
| empty(sK9(power_set(domain_of(sK4)))) ),
inference(resolution,[],[f456,f223]) ).
fof(f460,plain,
( member(sK6(sK9(power_set(domain_of(sK4)))),sK2)
| sP0(sK9(power_set(domain_of(sK4)))) ),
inference(resolution,[],[f456,f222]) ).
fof(f459,plain,
( member(sK6(domain_of(sK4)),sK2)
| sP0(domain_of(sK4)) ),
inference(resolution,[],[f456,f114]) ).
fof(f456,plain,
! [X0] :
( ~ member(X0,domain_of(sK4))
| member(X0,sK2) ),
inference(resolution,[],[f389,f321]) ).
fof(f455,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| member(X0,cross_product(X2,X3))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f389,f163]) ).
fof(f453,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range(X1,X2,X3))
| member(X0,X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f389,f186]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ member(X0,domain_of(sK12(X1,X2)))
| member(X0,X2) ),
inference(resolution,[],[f389,f326]) ).
fof(f450,plain,
! [X0,X1] :
( ~ member(X0,sK13(X1))
| member(X0,X1) ),
inference(resolution,[],[f389,f191]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,domain(X1,X2,X3))
| member(X0,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f389,f184]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(sK12(X1,X2)))
| member(X0,X1) ),
inference(resolution,[],[f389,f334]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(resolution,[],[f371,f174]) ).
fof(f427,plain,
! [X2,X0,X1] : relation_like(domain_of(sK12(X0,cross_product(X1,X2)))),
inference(resolution,[],[f418,f326]) ).
fof(f421,plain,
! [X2,X0,X1] : relation_like(range_of(sK12(cross_product(X0,X1),X2))),
inference(resolution,[],[f418,f334]) ).
fof(f444,plain,
! [X0,X4] :
( ordered_pair(sK7(X4),sK8(X4)) = X4
| ~ member(X4,X0)
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f112,f103]) ).
fof(f441,plain,
( member(sK10(sK4),range_of(sK4))
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f304,f289]) ).
fof(f435,plain,
! [X0,X1] : relation_like(sK12(X0,X1)),
inference(resolution,[],[f419,f188]) ).
fof(f289,plain,
( ilf_type(sK4,binary_relation_type)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl16_4
<=> ilf_type(sK4,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f433,plain,
relation_like(sK4),
inference(resolution,[],[f419,f99]) ).
fof(f304,plain,
( member(sK10(sK4),range_of(sK4))
| ~ ilf_type(sK4,binary_relation_type) ),
inference(resolution,[],[f303,f156]) ).
fof(f431,plain,
! [X2,X0,X1] : relation_like(domain_of(sK12(X0,cross_product(X1,X2)))),
inference(resolution,[],[f419,f327]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f418,f163]) ).
fof(f424,plain,
! [X0,X1] : relation_like(sK9(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f418,f356]) ).
fof(f426,plain,
! [X0,X1] : relation_like(sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f418,f214]) ).
fof(f425,plain,
! [X0,X1] : relation_like(sK13(cross_product(X0,X1))),
inference(resolution,[],[f418,f191]) ).
fof(f420,plain,
! [X0,X1] : relation_like(cross_product(X0,X1)),
inference(resolution,[],[f418,f349]) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( relation_like(range(X0,cross_product(X1,X2),X3))
| ~ ilf_type(X3,relation_type(X0,cross_product(X1,X2))) ),
inference(resolution,[],[f418,f186]) ).
fof(f423,plain,
! [X0,X1] :
( relation_like(sK6(power_set(cross_product(X0,X1))))
| sP0(power_set(cross_product(X0,X1))) ),
inference(resolution,[],[f418,f351]) ).
fof(f422,plain,
! [X2,X3,X0,X1] :
( relation_like(domain(cross_product(X0,X1),X2,X3))
| ~ ilf_type(X3,relation_type(cross_product(X0,X1),X2)) ),
inference(resolution,[],[f418,f184]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f417,f103]) ).
fof(f417,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f139,f103]) ).
fof(f411,plain,
! [X0] :
( empty(sK9(power_set(sK14(power_set(X0)))))
| member(sK14(sK9(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f380,f382]) ).
fof(f410,plain,
! [X0] :
( empty(sK9(power_set(sK9(power_set(X0)))))
| member(sK14(sK9(power_set(sK9(power_set(X0))))),X0) ),
inference(resolution,[],[f380,f221]) ).
fof(f409,plain,
! [X0] :
( empty(sK9(power_set(sK6(power_set(X0)))))
| member(sK14(sK9(power_set(sK6(power_set(X0))))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f380,f218]) ).
fof(f407,plain,
! [X0,X1] :
( empty(sK9(power_set(power_set(X0))))
| ~ member(X1,sK14(sK9(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f380,f174]) ).
fof(f406,plain,
! [X0] :
( empty(sK9(power_set(power_set(X0))))
| ilf_type(sK14(sK9(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f380,f337]) ).
fof(f404,plain,
! [X0] :
( empty(sK9(power_set(domain_of(X0))))
| member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f380,f156]) ).
fof(f380,plain,
! [X0] :
( member(sK14(sK9(power_set(X0))),X0)
| empty(sK9(power_set(X0))) ),
inference(resolution,[],[f369,f221]) ).
fof(f402,plain,
! [X2,X0,X1] :
( range_of(sK9(power_set(X0))) = range(X1,X2,sK9(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f364,f243]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X2,X0) ),
inference(resolution,[],[f359,f180]) ).
fof(f401,plain,
! [X2,X0,X1] :
( domain_of(sK9(power_set(X0))) = domain(X1,X2,sK9(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f363,f243]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X2,X0) ),
inference(resolution,[],[f359,f182]) ).
fof(f400,plain,
! [X0,X1] : range(X0,X1,sK9(power_set(cross_product(X0,X1)))) = range_of(sK9(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f360,f180]) ).
fof(f399,plain,
! [X0,X1] : domain(X0,X1,sK9(power_set(cross_product(X0,X1)))) = domain_of(sK9(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f360,f182]) ).
fof(f360,plain,
! [X0,X1] : ilf_type(sK9(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f356,f165]) ).
fof(f398,plain,
! [X0,X1] :
( sP0(power_set(cross_product(X0,X1)))
| ilf_type(sK6(power_set(cross_product(X0,X1))),relation_type(X0,X1)) ),
inference(resolution,[],[f351,f165]) ).
fof(f351,plain,
! [X0] :
( ilf_type(sK6(power_set(X0)),subset_type(X0))
| sP0(power_set(X0)) ),
inference(resolution,[],[f337,f114]) ).
fof(f397,plain,
! [X0] :
( member(sK14(sK14(power_set(X0))),X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f382,f369]) ).
fof(f396,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(X0)),X1),X0)
| member(sK14(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f382,f169]) ).
fof(f395,plain,
! [X0] :
( member(sK9(sK9(power_set(sK14(power_set(X0))))),X0)
| empty(sK9(power_set(sK14(power_set(X0))))) ),
inference(resolution,[],[f382,f223]) ).
fof(f394,plain,
! [X0] :
( member(sK9(sK14(power_set(X0))),X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f382,f151]) ).
fof(f393,plain,
! [X0] :
( member(sK6(sK9(power_set(sK14(power_set(X0))))),X0)
| sP0(sK9(power_set(sK14(power_set(X0))))) ),
inference(resolution,[],[f382,f222]) ).
fof(f392,plain,
! [X0] :
( member(sK6(sK14(power_set(X0))),X0)
| sP0(sK14(power_set(X0))) ),
inference(resolution,[],[f382,f114]) ).
fof(f382,plain,
! [X0,X1] :
( ~ member(X1,sK14(power_set(X0)))
| member(X1,X0) ),
inference(subsumption_resolution,[],[f377,f149]) ).
fof(f377,plain,
! [X0,X1] :
( empty(power_set(X0))
| ~ member(X1,sK14(power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f369,f174]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ilf_type(sK11(X0,power_set(X1)),subset_type(X1))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f371,f167]) ).
fof(f371,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f367,f149]) ).
fof(f367,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f358,f178]) ).
fof(f387,plain,
! [X2,X3,X0] :
( ordered_pair(X2,X3) != sK6(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f386,f103]) ).
fof(f386,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK6(X0)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f115,f103]) ).
fof(f379,plain,
! [X0] :
( empty(sK6(power_set(X0)))
| member(sK14(sK6(power_set(X0))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f369,f218]) ).
fof(f369,plain,
! [X0] :
( member(sK14(X0),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X0] :
( member(sK14(X0),X0)
| empty(X0)
| empty(X0) ),
inference(resolution,[],[f358,f192]) ).
fof(f370,plain,
member(sK5,sK2),
inference(subsumption_resolution,[],[f365,f95]) ).
fof(f365,plain,
( member(sK5,sK2)
| empty(sK2) ),
inference(resolution,[],[f358,f100]) ).
fof(f358,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f190,f103]) ).
fof(f345,plain,
! [X0] :
( ~ member(sK11(range_of(sK4),X0),sK3)
| member(range_of(sK4),power_set(X0)) ),
inference(resolution,[],[f336,f282]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ empty(X0) ),
inference(resolution,[],[f350,f165]) ).
fof(f362,plain,
! [X0,X1] : range(X0,X1,cross_product(X0,X1)) = range_of(cross_product(X0,X1)),
inference(resolution,[],[f357,f180]) ).
fof(f361,plain,
! [X0,X1] : domain(X0,X1,cross_product(X0,X1)) = domain_of(cross_product(X0,X1)),
inference(resolution,[],[f357,f182]) ).
fof(f357,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(resolution,[],[f349,f165]) ).
fof(f356,plain,
! [X0] : ilf_type(sK9(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f353,f149]) ).
fof(f353,plain,
! [X0] :
( ilf_type(sK9(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f337,f151]) ).
fof(f350,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f337,f208]) ).
fof(f349,plain,
! [X0] : ilf_type(X0,subset_type(X0)),
inference(resolution,[],[f337,f209]) ).
fof(f355,plain,
! [X0,X1] :
( ilf_type(sK11(power_set(X0),X1),subset_type(X0))
| member(power_set(X0),power_set(X1)) ),
inference(resolution,[],[f337,f169]) ).
fof(f354,plain,
! [X0] :
( ilf_type(sK9(sK9(power_set(power_set(X0)))),subset_type(X0))
| empty(sK9(power_set(power_set(X0)))) ),
inference(resolution,[],[f337,f223]) ).
fof(f352,plain,
! [X0] :
( ilf_type(sK6(sK9(power_set(power_set(X0)))),subset_type(X0))
| sP0(sK9(power_set(power_set(X0)))) ),
inference(resolution,[],[f337,f222]) ).
fof(f337,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f336,f176]) ).
fof(f348,plain,
! [X2,X0,X1] : ilf_type(range_of(sK12(cross_product(X0,X1),X2)),relation_type(X0,X1)),
inference(resolution,[],[f334,f165]) ).
fof(f334,plain,
! [X0,X1] : ilf_type(range_of(sK12(X1,X0)),subset_type(X1)),
inference(subsumption_resolution,[],[f332,f188]) ).
fof(f332,plain,
! [X0,X1] :
( ilf_type(range_of(sK12(X1,X0)),subset_type(X1))
| ~ ilf_type(sK12(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f186,f264]) ).
fof(f336,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f335,f201]) ).
fof(f335,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f189,f103]) ).
fof(f333,plain,
ilf_type(range_of(sK4),subset_type(sK3)),
inference(subsumption_resolution,[],[f331,f99]) ).
fof(f331,plain,
( ilf_type(range_of(sK4),subset_type(sK3))
| ~ ilf_type(sK4,relation_type(sK2,sK3)) ),
inference(superposition,[],[f186,f263]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,cross_product(X2,X3)))
| ilf_type(range(X1,cross_product(X2,X3),X0),relation_type(X2,X3)) ),
inference(resolution,[],[f186,f165]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185]) ).
fof(f329,plain,
! [X2,X0,X1] : range(X0,X1,domain_of(sK12(X2,cross_product(X0,X1)))) = range_of(domain_of(sK12(X2,cross_product(X0,X1)))),
inference(resolution,[],[f327,f180]) ).
fof(f328,plain,
! [X2,X0,X1] : domain(X0,X1,domain_of(sK12(X2,cross_product(X0,X1)))) = domain_of(domain_of(sK12(X2,cross_product(X0,X1)))),
inference(resolution,[],[f327,f182]) ).
fof(f327,plain,
! [X2,X0,X1] : ilf_type(domain_of(sK12(X0,cross_product(X1,X2))),relation_type(X1,X2)),
inference(resolution,[],[f326,f165]) ).
fof(f326,plain,
! [X0,X1] : ilf_type(domain_of(sK12(X1,X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f325,f188]) ).
fof(f325,plain,
! [X0,X1] :
( ilf_type(domain_of(sK12(X1,X0)),subset_type(X0))
| ~ ilf_type(sK12(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f184,f297]) ).
fof(f297,plain,
! [X0,X1] : domain(X0,X1,sK12(X1,X0)) = domain_of(sK12(X1,X0)),
inference(resolution,[],[f182,f188]) ).
fof(f264,plain,
! [X0,X1] : range(X0,X1,sK12(X1,X0)) = range_of(sK12(X1,X0)),
inference(resolution,[],[f180,f188]) ).
fof(f321,plain,
ilf_type(domain_of(sK4),subset_type(sK2)),
inference(subsumption_resolution,[],[f320,f99]) ).
fof(f320,plain,
( ilf_type(domain_of(sK4),subset_type(sK2))
| ~ ilf_type(sK4,relation_type(sK2,sK3)) ),
inference(superposition,[],[f184,f296]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(cross_product(X1,X2),X3))
| ilf_type(domain(cross_product(X1,X2),X3,X0),relation_type(X1,X2)) ),
inference(resolution,[],[f184,f165]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183]) ).
fof(f277,plain,
( ~ ilf_type(sK6(sK9(power_set(range_of(sK4)))),member_type(sK3))
| sP0(sK9(power_set(range_of(sK4)))) ),
inference(resolution,[],[f267,f222]) ).
fof(f282,plain,
! [X0] :
( ~ ilf_type(sK11(range_of(sK4),X0),member_type(sK3))
| member(range_of(sK4),power_set(X0)) ),
inference(resolution,[],[f267,f169]) ).
fof(f303,plain,
member(sK5,domain_of(sK4)),
inference(superposition,[],[f101,f296]) ).
fof(f296,plain,
domain(sK2,sK3,sK4) = domain_of(sK4),
inference(resolution,[],[f182,f99]) ).
fof(f299,plain,
! [X0,X1] : domain(X0,X1,sK14(power_set(cross_product(X0,X1)))) = domain_of(sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f182,f249]) ).
fof(f298,plain,
! [X0,X1] : domain(X0,X1,sK13(cross_product(X0,X1))) = domain_of(sK13(cross_product(X0,X1))),
inference(resolution,[],[f182,f248]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181]) ).
fof(f280,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| ~ ilf_type(sK4,binary_relation_type)
| empty(domain_of(sK4)) ),
inference(resolution,[],[f267,f257]) ).
fof(f281,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| ~ ilf_type(sK4,binary_relation_type)
| sP0(domain_of(sK4)) ),
inference(resolution,[],[f267,f255]) ).
fof(f267,plain,
! [X0] :
( ~ member(X0,range_of(sK4))
| ~ ilf_type(X0,member_type(sK3)) ),
inference(superposition,[],[f102,f263]) ).
fof(f263,plain,
range(sK2,sK3,sK4) = range_of(sK4),
inference(resolution,[],[f180,f99]) ).
fof(f266,plain,
! [X0,X1] : range(X0,X1,sK14(power_set(cross_product(X0,X1)))) = range_of(sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f180,f249]) ).
fof(f265,plain,
! [X0,X1] : range(X0,X1,sK13(cross_product(X0,X1))) = range_of(sK13(cross_product(X0,X1))),
inference(resolution,[],[f180,f248]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179]) ).
fof(f262,plain,
! [X0] :
( ~ empty(range_of(X0))
| empty(domain_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f257,f201]) ).
fof(f257,plain,
! [X0] :
( member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| empty(domain_of(X0)) ),
inference(resolution,[],[f156,f151]) ).
fof(f261,plain,
! [X0] :
( relation_like(domain_of(X0))
| ~ empty(range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f260,f197]) ).
fof(f260,plain,
! [X0] :
( sP0(domain_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| ~ empty(range_of(X0)) ),
inference(resolution,[],[f255,f201]) ).
fof(f255,plain,
! [X0] :
( member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| sP0(domain_of(X0)) ),
inference(resolution,[],[f156,f114]) ).
fof(f259,plain,
! [X0,X1] :
( member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| member(domain_of(X0),power_set(X1)) ),
inference(resolution,[],[f156,f169]) ).
fof(f258,plain,
! [X0] :
( member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| empty(sK9(power_set(domain_of(X0)))) ),
inference(resolution,[],[f156,f223]) ).
fof(f256,plain,
! [X0] :
( member(sK10(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| sP0(sK9(power_set(domain_of(X0)))) ),
inference(resolution,[],[f156,f222]) ).
fof(f156,plain,
! [X0,X1] :
( ~ member(X0,domain_of(X1))
| member(sK10(X1),range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124]) ).
fof(f254,plain,
! [X0,X1] :
( member(sK11(sK6(power_set(X0)),X1),X0)
| sP0(power_set(X0))
| member(sK6(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f218,f169]) ).
fof(f253,plain,
! [X0] :
( member(sK9(sK9(power_set(sK6(power_set(X0))))),X0)
| sP0(power_set(X0))
| empty(sK9(power_set(sK6(power_set(X0))))) ),
inference(resolution,[],[f218,f223]) ).
fof(f252,plain,
! [X0] :
( member(sK9(sK6(power_set(X0))),X0)
| sP0(power_set(X0))
| empty(sK6(power_set(X0))) ),
inference(resolution,[],[f218,f151]) ).
fof(f251,plain,
! [X0] :
( member(sK6(sK9(power_set(sK6(power_set(X0))))),X0)
| sP0(power_set(X0))
| sP0(sK9(power_set(sK6(power_set(X0))))) ),
inference(resolution,[],[f218,f222]) ).
fof(f250,plain,
! [X0] :
( member(sK6(sK6(power_set(X0))),X0)
| sP0(power_set(X0))
| sP0(sK6(power_set(X0))) ),
inference(resolution,[],[f218,f114]) ).
fof(f218,plain,
! [X0,X1] :
( ~ member(X0,sK6(power_set(X1)))
| member(X0,X1)
| sP0(power_set(X1)) ),
inference(resolution,[],[f174,f114]) ).
fof(f249,plain,
! [X0,X1] : ilf_type(sK14(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f165,f214]) ).
fof(f248,plain,
! [X0,X1] : ilf_type(sK13(cross_product(X0,X1)),relation_type(X0,X1)),
inference(resolution,[],[f165,f191]) ).
fof(f165,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162]) ).
fof(f243,plain,
! [X0] :
( empty(sK9(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f223,f201]) ).
fof(f246,plain,
! [X0] :
( empty(sK9(power_set(sK9(power_set(X0)))))
| member(sK9(sK9(power_set(sK9(power_set(X0))))),X0) ),
inference(resolution,[],[f223,f221]) ).
fof(f245,plain,
( empty(sK9(power_set(range(sK2,sK3,sK4))))
| ~ ilf_type(sK9(sK9(power_set(range(sK2,sK3,sK4)))),member_type(sK3)) ),
inference(resolution,[],[f223,f102]) ).
fof(f244,plain,
! [X0,X1] :
( empty(sK9(power_set(power_set(X0))))
| ~ member(X1,sK9(sK9(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f223,f174]) ).
fof(f223,plain,
! [X0] :
( member(sK9(sK9(power_set(X0))),X0)
| empty(sK9(power_set(X0))) ),
inference(resolution,[],[f221,f151]) ).
fof(f242,plain,
! [X0] :
( relation_like(sK9(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f238,f197]) ).
fof(f238,plain,
! [X0] :
( sP0(sK9(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f222,f201]) ).
fof(f241,plain,
! [X0] :
( sP0(sK9(power_set(sK9(power_set(X0)))))
| member(sK6(sK9(power_set(sK9(power_set(X0))))),X0) ),
inference(resolution,[],[f222,f221]) ).
fof(f240,plain,
( sP0(sK9(power_set(range(sK2,sK3,sK4))))
| ~ ilf_type(sK6(sK9(power_set(range(sK2,sK3,sK4)))),member_type(sK3)) ),
inference(resolution,[],[f222,f102]) ).
fof(f239,plain,
! [X0,X1] :
( sP0(sK9(power_set(power_set(X0))))
| ~ member(X1,sK6(sK9(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f222,f174]) ).
fof(f222,plain,
! [X0] :
( member(sK6(sK9(power_set(X0))),X0)
| sP0(sK9(power_set(X0))) ),
inference(resolution,[],[f221,f114]) ).
fof(f212,plain,
! [X0,X1] :
( ~ empty(sK11(X0,power_set(X1)))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f208,f167]) ).
fof(f199,plain,
( ~ ilf_type(sK6(range(sK2,sK3,sK4)),member_type(sK3))
| sP0(range(sK2,sK3,sK4)) ),
inference(resolution,[],[f102,f114]) ).
fof(f224,plain,
! [X0,X1] :
( member(sK11(sK9(power_set(X0)),X1),X0)
| member(sK9(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f221,f169]) ).
fof(f221,plain,
! [X0,X1] :
( ~ member(X0,sK9(power_set(X1)))
| member(X0,X1) ),
inference(subsumption_resolution,[],[f219,f149]) ).
fof(f219,plain,
! [X0,X1] :
( ~ member(X0,sK9(power_set(X1)))
| member(X0,X1)
| empty(power_set(X1)) ),
inference(resolution,[],[f174,f151]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ member(X0,sK11(power_set(X1),X2))
| member(X0,X1)
| member(power_set(X1),power_set(X2)) ),
inference(resolution,[],[f174,f169]) ).
fof(f174,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173]) ).
fof(f178,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177]) ).
fof(f214,plain,
! [X0] : ilf_type(sK14(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f213,f149]) ).
fof(f213,plain,
! [X0] :
( ilf_type(sK14(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f176,f192]) ).
fof(f176,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175]) ).
fof(f208,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f169,f201]) ).
fof(f209,plain,
! [X0] : member(X0,power_set(X0)),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X0] :
( member(X0,power_set(X0))
| member(X0,power_set(X0)) ),
inference(resolution,[],[f169,f167]) ).
fof(f207,plain,
! [X0] :
( member(range(sK2,sK3,sK4),power_set(X0))
| ~ ilf_type(sK11(range(sK2,sK3,sK4),X0),member_type(sK3)) ),
inference(resolution,[],[f169,f102]) ).
fof(f169,plain,
! [X0,X1] :
( member(sK11(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168]) ).
fof(f167,plain,
! [X0,X1] :
( ~ member(sK11(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166]) ).
fof(f203,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(resolution,[],[f201,f114]) ).
fof(f202,plain,
~ empty(domain(sK2,sK3,sK4)),
inference(resolution,[],[f201,f101]) ).
fof(f201,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f153,f103]) ).
fof(f200,plain,
( ~ ilf_type(sK9(range(sK2,sK3,sK4)),member_type(sK3))
| empty(range(sK2,sK3,sK4)) ),
inference(resolution,[],[f102,f151]) ).
fof(f102,plain,
! [X4] :
( ~ member(X4,range(sK2,sK3,sK4))
| ~ ilf_type(X4,member_type(sK3)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ! [X4] :
( ~ member(X4,range(sK2,sK3,sK4))
| ~ ilf_type(X4,member_type(sK3)) )
& member(sK5,domain(sK2,sK3,sK4))
& ilf_type(sK5,member_type(sK2))
& ilf_type(sK4,relation_type(sK2,sK3))
& ilf_type(sK3,set_type)
& ~ empty(sK3)
& ilf_type(sK2,set_type)
& ~ empty(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f29,f64,f63,f62,f61]) ).
fof(f61,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(X0,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(sK2,X1,X2))
& ilf_type(X3,member_type(sK2)) )
& ilf_type(X2,relation_type(sK2,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(sK2,set_type)
& ~ empty(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(sK2,X1,X2))
& ilf_type(X3,member_type(sK2)) )
& ilf_type(X2,relation_type(sK2,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,sK3,X2))
| ~ ilf_type(X4,member_type(sK3)) )
& member(X3,domain(sK2,sK3,X2))
& ilf_type(X3,member_type(sK2)) )
& ilf_type(X2,relation_type(sK2,sK3)) )
& ilf_type(sK3,set_type)
& ~ empty(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,sK3,X2))
| ~ ilf_type(X4,member_type(sK3)) )
& member(X3,domain(sK2,sK3,X2))
& ilf_type(X3,member_type(sK2)) )
& ilf_type(X2,relation_type(sK2,sK3)) )
=> ( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,sK3,sK4))
| ~ ilf_type(X4,member_type(sK3)) )
& member(X3,domain(sK2,sK3,sK4))
& ilf_type(X3,member_type(sK2)) )
& ilf_type(sK4,relation_type(sK2,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(sK2,sK3,sK4))
| ~ ilf_type(X4,member_type(sK3)) )
& member(X3,domain(sK2,sK3,sK4))
& ilf_type(X3,member_type(sK2)) )
=> ( ! [X4] :
( ~ member(X4,range(sK2,sK3,sK4))
| ~ ilf_type(X4,member_type(sK3)) )
& member(sK5,domain(sK2,sK3,sK4))
& ilf_type(sK5,member_type(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(X0,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(X0,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,domain(X0,X1,X2))
=> ? [X4] :
( member(X4,range(X0,X1,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,domain(X0,X1,X2))
=> ? [X4] :
( member(X4,range(X0,X1,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).
fof(f192,plain,
! [X0] :
( ilf_type(sK14(X0),member_type(X0))
| empty(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187,f188,f142,f189,f141,f190,f143,f191,f144]) ).
fof(f188,plain,
! [X0,X1] : ilf_type(sK12(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187]) ).
fof(f151,plain,
! [X0] :
( member(sK9(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119]) ).
fof(f114,plain,
! [X0] :
( member(sK6(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK6(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK6(X0),X0)
& ilf_type(sK6(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK7(X4),sK8(X4)) = X4
& ilf_type(sK8(X4),set_type)
& ilf_type(sK7(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f68,f71,f70,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) )
=> ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK6(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK6(X0),X0)
& ilf_type(sK6(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK7(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK7(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK7(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK7(X4),sK8(X4)) = X4
& ilf_type(sK8(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f197,plain,
! [X0] :
( ~ sP0(X0)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f109,f150]) ).
fof(f196,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f108,f150]) ).
fof(f191,plain,
! [X0] : ilf_type(sK13(X0),subset_type(X0)),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187,f188,f142,f189,f141,f190,f143]) ).
fof(f194,plain,
relation_like(sK15),
inference(resolution,[],[f155,f146]) ).
fof(f155,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120]) ).
fof(f154,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147]) ).
fof(f101,plain,
member(sK5,domain(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f65]) ).
fof(f193,plain,
! [X0] :
( relation_like(X0)
| ~ empty(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187,f188,f142,f189,f141,f190,f143,f191,f144,f192,f145]) ).
fof(f99,plain,
ilf_type(sK4,relation_type(sK2,sK3)),
inference(cnf_transformation,[],[f65]) ).
fof(f100,plain,
ilf_type(sK5,member_type(sK2)),
inference(cnf_transformation,[],[f65]) ).
fof(f149,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106]) ).
fof(f146,plain,
ilf_type(sK15,binary_relation_type),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
ilf_type(sK15,binary_relation_type),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f11,f93]) ).
fof(f93,plain,
( ? [X0] : ilf_type(X0,binary_relation_type)
=> ilf_type(sK15,binary_relation_type) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] : ilf_type(X0,binary_relation_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f103,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f98,plain,
ilf_type(sK3,set_type),
inference(cnf_transformation,[],[f65]) ).
fof(f96,plain,
ilf_type(sK2,set_type),
inference(cnf_transformation,[],[f65]) ).
fof(f150,plain,
! [X0] : sP1(X0),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116]) ).
fof(f97,plain,
~ empty(sK3),
inference(cnf_transformation,[],[f65]) ).
fof(f95,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f145,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& empty(X0) )
=> relation_like(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f144,plain,
! [X0] :
( ilf_type(sK14(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ilf_type(sK14(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f55,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
=> ilf_type(sK14(X0),member_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ? [X1] : ilf_type(X1,member_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f143,plain,
! [X0] :
( ilf_type(sK13(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ilf_type(sK13(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f53,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
=> ilf_type(sK13(X0),subset_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,subset_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f190,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187,f188,f142,f189,f141]) ).
fof(f141,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f189,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140,f187,f188,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f187,plain,
! [X0,X1] :
( ilf_type(sK12(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138,f185,f186,f139,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ilf_type(sK12(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ilf_type(sK12(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f50,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK12(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f139,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f185,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137,f183,f184,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f183,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136,f181,f182,f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f181,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135,f179,f180,f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f179,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133,f177,f178,f135]) ).
fof(f135,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f177,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134,f175,f176,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f175,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172,f173,f174,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f173,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129,f172]) ).
fof(f172,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170,f171,f129]) ).
fof(f129,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK11(X0,X1),X1)
& member(sK11(X0,X1),X0)
& ilf_type(sK11(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK11(X0,X1),X1)
& member(sK11(X0,X1),X0)
& ilf_type(sK11(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f171,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK11(X0,X1),set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130,f170]) ).
fof(f170,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK11(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131,f168,f169,f130]) ).
fof(f130,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK11(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f168,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK11(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132,f166,f167,f131]) ).
fof(f131,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK11(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f166,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK11(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127,f164,f165,f132]) ).
fof(f132,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK11(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f164,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f163,f127]) ).
fof(f127,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f162,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160,f161,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f41]) ).
fof(f161,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158,f159,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f159,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123,f157,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f157,plain,
! [X0,X1] :
( ilf_type(sK10(X1),set_type)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117,f153,f147,f154,f120,f155,f124,f156,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ilf_type(sK10(X1),set_type)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( member(sK10(X1),range_of(X1))
& ilf_type(sK10(X1),set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f38,f79]) ).
fof(f79,plain,
! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
=> ( member(sK10(X1),range_of(X1))
& ilf_type(sK10(X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
=> ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f124,plain,
! [X0,X1] :
( member(sK10(X1),range_of(X1))
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f147,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f153,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118,f152,f117]) ).
fof(f117,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f74,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f152,plain,
! [X0] :
( empty(X0)
| ilf_type(sK9(X0),set_type) ),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107,f148,f106,f149,f109,f108,f115,f114,f113,f112,f111,f110,f116,f150,f119,f151,f118]) ).
fof(f118,plain,
! [X0] :
( empty(X0)
| ilf_type(sK9(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f119,plain,
! [X0] :
( empty(X0)
| member(sK9(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f116,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f34,f59,f58]) ).
fof(f59,plain,
! [X0] :
( ( relation_like(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f34,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
fof(f110,plain,
! [X0,X4] :
( ilf_type(sK7(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f111,plain,
! [X0,X4] :
( ilf_type(sK8(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f112,plain,
! [X0,X4] :
( ordered_pair(sK7(X4),sK8(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f113,plain,
! [X0] :
( sP0(X0)
| ilf_type(sK6(X0),set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK6(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ relation_like(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f109,plain,
! [X0] :
( relation_like(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f106,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f148,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f102,f101,f100,f99,f98,f97,f96,f95,f103,f104,f105,f107]) ).
fof(f107,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f105,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f104,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(domain_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f526,plain,
( sP0(range_of(sK4))
| ~ spl16_1 ),
inference(forward_demodulation,[],[f228,f263]) ).
fof(f228,plain,
( sP0(range(sK2,sK3,sK4))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl16_1
<=> sP0(range(sK2,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f525,plain,
( ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(global_subsumption,[],[f286,f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515,f516,f517,f518,f442,f519,f520,f479,f473,f521,f405,f279,f293]) ).
fof(f286,plain,
( empty(domain_of(sK4))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl16_3
<=> empty(domain_of(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f523,plain,
( ~ spl16_4
| ~ spl16_5 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| ~ spl16_4
| ~ spl16_5 ),
inference(global_subsumption,[],[f104,f105,f107,f148,f106,f109,f108,f115,f113,f112,f111,f110,f116,f119,f118,f152,f117,f153,f147,f120,f124,f123,f157,f125,f158,f159,f126,f160,f161,f128,f162,f127,f164,f132,f166,f131,f168,f130,f170,f171,f129,f172,f173,f134,f175,f133,f177,f135,f179,f136,f181,f137,f183,f138,f185,f139,f140,f187,f142,f189,f141,f190,f143,f144,f145,f95,f97,f150,f96,f98,f103,f146,f149,f100,f99,f193,f101,f154,f155,f194,f191,f196,f197,f114,f151,f188,f192,f102,f200,f201,f202,f203,f167,f169,f207,f209,f208,f176,f214,f178,f174,f220,f221,f224,f199,f212,f222,f239,f240,f241,f238,f242,f223,f244,f245,f246,f243,f163,f165,f248,f249,f218,f250,f251,f252,f253,f254,f156,f256,f258,f259,f255,f260,f261,f257,f262,f180,f265,f266,f263,f267,f281,f280,f182,f298,f299,f296,f303,f282,f277,f184,f319,f321,f264,f297,f326,f327,f328,f329,f186,f330,f333,f336,f334,f348,f337,f352,f354,f355,f349,f350,f356,f357,f361,f362,f359,f345,f358,f370,f369,f379,f387,f371,f391,f382,f392,f393,f394,f395,f396,f397,f351,f398,f360,f399,f400,f363,f401,f364,f402,f380,f404,f406,f407,f409,f410,f411,f418,f422,f423,f428,f420,f425,f426,f424,f419,f431,f304,f433,f289,f435,f441,f444,f421,f427,f389,f446,f447,f450,f452,f453,f455,f456,f459,f460,f462,f463,f465,f457,f500,f478,f472,f443,f508,f509,f375,f510,f278,f511,f513,f514,f464,f461,f305,f302,f476,f515,f516,f517,f518,f442,f519,f520,f479,f473,f521,f405,f279,f293]) ).
fof(f506,plain,
spl16_6,
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| spl16_6 ),
inference(subsumption_resolution,[],[f504,f316]) ).
fof(f316,plain,
( ~ empty(sK9(power_set(range_of(sK4))))
| spl16_6 ),
inference(resolution,[],[f308,f203]) ).
fof(f308,plain,
( ~ sP0(sK9(power_set(range_of(sK4))))
| spl16_6 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl16_6
<=> sP0(sK9(power_set(range_of(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f504,plain,
( empty(sK9(power_set(range_of(sK4))))
| spl16_6 ),
inference(subsumption_resolution,[],[f479,f416]) ).
fof(f416,plain,
( ~ member(sK14(sK9(power_set(range_of(sK4)))),sK3)
| spl16_6 ),
inference(resolution,[],[f412,f336]) ).
fof(f412,plain,
( ~ ilf_type(sK14(sK9(power_set(range_of(sK4)))),member_type(sK3))
| spl16_6 ),
inference(subsumption_resolution,[],[f405,f316]) ).
fof(f503,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f501,f270]) ).
fof(f270,plain,
( ~ empty(range_of(sK4))
| spl16_1 ),
inference(superposition,[],[f234,f263]) ).
fof(f234,plain,
( ~ empty(range(sK2,sK3,sK4))
| spl16_1 ),
inference(resolution,[],[f227,f203]) ).
fof(f227,plain,
( ~ sP0(range(sK2,sK3,sK4))
| spl16_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f501,plain,
( empty(range_of(sK4))
| spl16_1 ),
inference(subsumption_resolution,[],[f478,f385]) ).
fof(f385,plain,
( ~ member(sK14(range_of(sK4)),sK3)
| spl16_1 ),
inference(resolution,[],[f384,f336]) ).
fof(f384,plain,
( ~ ilf_type(sK14(range_of(sK4)),member_type(sK3))
| spl16_1 ),
inference(forward_demodulation,[],[f383,f263]) ).
fof(f383,plain,
( ~ ilf_type(sK14(range(sK2,sK3,sK4)),member_type(sK3))
| spl16_1 ),
inference(subsumption_resolution,[],[f378,f234]) ).
fof(f499,plain,
( ~ spl16_4
| spl16_5 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl16_4
| spl16_5 ),
inference(subsumption_resolution,[],[f476,f344]) ).
fof(f344,plain,
( ~ member(sK10(sK4),sK3)
| spl16_5 ),
inference(resolution,[],[f336,f294]) ).
fof(f294,plain,
( ~ ilf_type(sK10(sK4),member_type(sK3))
| spl16_5 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f495,plain,
( spl16_3
| ~ spl16_4
| spl16_5 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| spl16_3
| ~ spl16_4
| spl16_5 ),
inference(subsumption_resolution,[],[f493,f285]) ).
fof(f285,plain,
( ~ empty(domain_of(sK4))
| spl16_3 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f493,plain,
( empty(domain_of(sK4))
| ~ spl16_4
| spl16_5 ),
inference(subsumption_resolution,[],[f492,f289]) ).
fof(f492,plain,
( ~ ilf_type(sK4,binary_relation_type)
| empty(domain_of(sK4))
| spl16_5 ),
inference(subsumption_resolution,[],[f474,f344]) ).
fof(f491,plain,
spl16_6,
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| spl16_6 ),
inference(subsumption_resolution,[],[f489,f316]) ).
fof(f489,plain,
( empty(sK9(power_set(range_of(sK4))))
| spl16_6 ),
inference(subsumption_resolution,[],[f473,f343]) ).
fof(f343,plain,
( ~ member(sK9(sK9(power_set(range_of(sK4)))),sK3)
| spl16_6 ),
inference(resolution,[],[f336,f324]) ).
fof(f324,plain,
( ~ ilf_type(sK9(sK9(power_set(range_of(sK4)))),member_type(sK3))
| spl16_6 ),
inference(subsumption_resolution,[],[f279,f316]) ).
fof(f488,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f486,f270]) ).
fof(f486,plain,
( empty(range_of(sK4))
| spl16_1 ),
inference(subsumption_resolution,[],[f472,f347]) ).
fof(f347,plain,
( ~ member(sK9(range_of(sK4)),sK3)
| spl16_1 ),
inference(forward_demodulation,[],[f341,f263]) ).
fof(f341,plain,
( ~ member(sK9(range(sK2,sK3,sK4)),sK3)
| spl16_1 ),
inference(resolution,[],[f336,f237]) ).
fof(f237,plain,
( ~ ilf_type(sK9(range(sK2,sK3,sK4)),member_type(sK3))
| spl16_1 ),
inference(subsumption_resolution,[],[f200,f234]) ).
fof(f485,plain,
( spl16_6
| spl16_7 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f484,plain,
( $false
| spl16_6
| spl16_7 ),
inference(subsumption_resolution,[],[f483,f308]) ).
fof(f483,plain,
( sP0(sK9(power_set(range_of(sK4))))
| spl16_7 ),
inference(subsumption_resolution,[],[f471,f340]) ).
fof(f340,plain,
( ~ member(sK6(sK9(power_set(range_of(sK4)))),sK3)
| spl16_7 ),
inference(resolution,[],[f336,f313]) ).
fof(f313,plain,
( ~ ilf_type(sK6(sK9(power_set(range_of(sK4)))),member_type(sK3))
| spl16_7 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl16_7
<=> ilf_type(sK6(sK9(power_set(range_of(sK4)))),member_type(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f471,plain,
( member(sK6(sK9(power_set(range_of(sK4)))),sK3)
| sP0(sK9(power_set(range_of(sK4)))) ),
inference(resolution,[],[f457,f222]) ).
fof(f482,plain,
( spl16_1
| spl16_2 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| spl16_1
| spl16_2 ),
inference(subsumption_resolution,[],[f480,f268]) ).
fof(f268,plain,
( ~ sP0(range_of(sK4))
| spl16_1 ),
inference(superposition,[],[f227,f263]) ).
fof(f480,plain,
( sP0(range_of(sK4))
| spl16_2 ),
inference(subsumption_resolution,[],[f470,f346]) ).
fof(f346,plain,
( ~ member(sK6(range_of(sK4)),sK3)
| spl16_2 ),
inference(forward_demodulation,[],[f338,f263]) ).
fof(f338,plain,
( ~ member(sK6(range(sK2,sK3,sK4)),sK3)
| spl16_2 ),
inference(resolution,[],[f336,f232]) ).
fof(f232,plain,
( ~ ilf_type(sK6(range(sK2,sK3,sK4)),member_type(sK3))
| spl16_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl16_2
<=> ilf_type(sK6(range(sK2,sK3,sK4)),member_type(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f470,plain,
( member(sK6(range_of(sK4)),sK3)
| sP0(range_of(sK4)) ),
inference(resolution,[],[f457,f114]) ).
fof(f439,plain,
spl16_4,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| spl16_4 ),
inference(subsumption_resolution,[],[f433,f300]) ).
fof(f300,plain,
( ~ relation_like(sK4)
| spl16_4 ),
inference(resolution,[],[f290,f154]) ).
fof(f290,plain,
( ~ ilf_type(sK4,binary_relation_type)
| spl16_4 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f314,plain,
( spl16_6
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f277,f311,f307]) ).
fof(f295,plain,
( spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f280,f292,f288,f284]) ).
fof(f233,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f199,f230,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET682+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 02:16:43 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (8937)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (8941)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (8940)WARNING: value z3 for option sas not known
% 0.14/0.36 % (8938)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 % (8939)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (8942)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)
% 0.14/0.36 % (8940)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)
% 0.14/0.36 % (8943)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)
% 0.14/0.36 TRYING [2]
% 0.14/0.37 % (8944)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)
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (8940)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 % (8940)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (8940)------------------------------
% 0.14/0.39 % (8940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (8940)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (8940)Memory used [KB]: 1160
% 0.14/0.39 % (8940)Time elapsed: 0.028 s
% 0.14/0.39 % (8940)Instructions burned: 44 (million)
% 0.14/0.39 % (8940)------------------------------
% 0.14/0.39 % (8940)------------------------------
% 0.14/0.39 % (8937)Success in time 0.034 s
%------------------------------------------------------------------------------